ETH Price: $2,387.24 (-1.16%)

Transaction Decoder

Block:
20967818 at Oct-15-2024 01:54:59 AM +UTC
Transaction Fee:
0.003023472843581372 ETH $7.22
Gas Used:
141,118 Gas / 21.425139554 Gwei

Emitted Events:

276 Archetype.Transfer( from=0x91d6e260a5965a3c33d5bc4bf4adcf96c449ed2e, to=[Sender] 0x513d3c79486cd63a10776604660a90f89c0554bf, tokenId=428 )
277 ERC1967Proxy.0x7dc5c0699ac8dd5250cbe368a2fc3b4a2daadb120ad07f6cccea29f83482686e( 0x7dc5c0699ac8dd5250cbe368a2fc3b4a2daadb120ad07f6cccea29f83482686e, f6e7a04f16dd812577b24efd9f5c09900a10d71be625e2a99df401cbf11ef637, 00000000000000000001ac0091d6e260a5965a3c33d5bc4bf4adcf96c449ed2e, 0000000000470de4df8200002581fcf62842ff2f52de071dc37867d53373355d, 00000000000000000000003206e86712434ad6548113a3e8deeba27bc5e55ec1 )

Account State Difference:

  Address   Before After State Difference Code
0x06E86712...bC5e55ec1
(Hayliens: Deployer)
0.000165072621273 Eth0.000265072621273 Eth0.0001
0x2581fCF6...53373355d
0x513D3c79...89c0554bF
0.034174789866539954 Eth
Nonce: 2380
0.011151317022958582 Eth
Nonce: 2381
0.023023472843581372
0x91D6E260...6C449ED2e 0.000060577149760868 Eth0.019960577149760868 Eth0.0199
(beaverbuild)
12.948596881312792472 Eth12.949031685989139024 Eth0.000434804676346552
0xb2ecfE4E...e2410CEA5
(Blur.io: Marketplace 3)

Execution Trace

ETH 0.02 ERC1967Proxy.70bce2d6( )
  • ETH 0.02 BlurExchangeV2.takeAskSingle( )
    • Null: 0x000...001.d97b3c3a( )
    • Null: 0x000...001.3c1d0d82( )
    • Delegate.transfer( taker=0x513D3c79486CD63A10776604660A90F89c0554bF, orderType=0, transfers=, length=1 ) => ( successful=[true] )
      • Archetype.safeTransferFrom( from=0x91D6E260A5965a3C33D5Bc4bf4ADCF96C449ED2e, to=0x513D3c79486CD63A10776604660A90F89c0554bF, tokenId=428 )
        • Archetype.safeTransferFrom( from=0x91D6E260A5965a3C33D5Bc4bf4ADCF96C449ED2e, to=0x513D3c79486CD63A10776604660A90F89c0554bF, tokenId=428 )
        • ETH 0.0001 Hayliens: Deployer.CALL( )
        • ETH 0.0199 0x91d6e260a5965a3c33d5bc4bf4adcf96c449ed2e.CALL( )
          File 1 of 5: ERC1967Proxy
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (proxy/ERC1967/ERC1967Proxy.sol)
          pragma solidity 0.8.17;
          import "lib/openzeppelin-contracts/contracts/proxy/Proxy.sol";
          import "lib/openzeppelin-contracts/contracts/proxy/ERC1967/ERC1967Upgrade.sol";
          /**
           * @dev This contract implements an upgradeable proxy. It is upgradeable because calls are delegated to an
           * implementation address that can be changed. This address is stored in storage in the location specified by
           * https://eips.ethereum.org/EIPS/eip-1967[EIP1967], so that it doesn't conflict with the storage layout of the
           * implementation behind the proxy.
           */
          contract ERC1967Proxy is Proxy, ERC1967Upgrade {
              /**
               * @dev Initializes the upgradeable proxy with an initial implementation specified by `_logic`.
               *
               * If `_data` is nonempty, it's used as data in a delegate call to `_logic`. This will typically be an encoded
               * function call, and allows initializating the storage of the proxy like a Solidity constructor.
               */
              constructor(address _logic, bytes memory _data) payable {
                  assert(_IMPLEMENTATION_SLOT == bytes32(uint256(keccak256("eip1967.proxy.implementation")) - 1));
                  _upgradeToAndCall(_logic, _data, false);
              }
              /**
               * @dev Returns the current implementation address.
               */
              function _implementation() internal view virtual override returns (address impl) {
                  return ERC1967Upgrade._getImplementation();
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (proxy/Proxy.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
           * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
           * be specified by overriding the virtual {_implementation} function.
           *
           * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
           * different contract through the {_delegate} function.
           *
           * The success and return data of the delegated call will be returned back to the caller of the proxy.
           */
          abstract contract Proxy {
              /**
               * @dev Delegates the current call to `implementation`.
               *
               * This function does not return to its internal call site, it will return directly to the external caller.
               */
              function _delegate(address implementation) internal virtual {
                  assembly {
                      // Copy msg.data. We take full control of memory in this inline assembly
                      // block because it will not return to Solidity code. We overwrite the
                      // Solidity scratch pad at memory position 0.
                      calldatacopy(0, 0, calldatasize())
                      // Call the implementation.
                      // out and outsize are 0 because we don't know the size yet.
                      let result := delegatecall(gas(), implementation, 0, calldatasize(), 0, 0)
                      // Copy the returned data.
                      returndatacopy(0, 0, returndatasize())
                      switch result
                      // delegatecall returns 0 on error.
                      case 0 {
                          revert(0, returndatasize())
                      }
                      default {
                          return(0, returndatasize())
                      }
                  }
              }
              /**
               * @dev This is a virtual function that should be overridden so it returns the address to which the fallback function
               * and {_fallback} should delegate.
               */
              function _implementation() internal view virtual returns (address);
              /**
               * @dev Delegates the current call to the address returned by `_implementation()`.
               *
               * This function does not return to its internal call site, it will return directly to the external caller.
               */
              function _fallback() internal virtual {
                  _beforeFallback();
                  _delegate(_implementation());
              }
              /**
               * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if no other
               * function in the contract matches the call data.
               */
              fallback() external payable virtual {
                  _fallback();
              }
              /**
               * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if call data
               * is empty.
               */
              receive() external payable virtual {
                  _fallback();
              }
              /**
               * @dev Hook that is called before falling back to the implementation. Can happen as part of a manual `_fallback`
               * call, or as part of the Solidity `fallback` or `receive` functions.
               *
               * If overridden should call `super._beforeFallback()`.
               */
              function _beforeFallback() internal virtual {}
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.3) (proxy/ERC1967/ERC1967Upgrade.sol)
          pragma solidity ^0.8.2;
          import "../beacon/IBeacon.sol";
          import "../../interfaces/IERC1967.sol";
          import "../../interfaces/draft-IERC1822.sol";
          import "../../utils/Address.sol";
          import "../../utils/StorageSlot.sol";
          /**
           * @dev This abstract contract provides getters and event emitting update functions for
           * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
           *
           * _Available since v4.1._
           */
          abstract contract ERC1967Upgrade is IERC1967 {
              // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
              bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;
              /**
               * @dev Storage slot with the address of the current implementation.
               * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
              /**
               * @dev Returns the current implementation address.
               */
              function _getImplementation() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 implementation slot.
               */
              function _setImplementation(address newImplementation) private {
                  require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
                  StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
              }
              /**
               * @dev Perform implementation upgrade
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeTo(address newImplementation) internal {
                  _setImplementation(newImplementation);
                  emit Upgraded(newImplementation);
              }
              /**
               * @dev Perform implementation upgrade with additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCall(address newImplementation, bytes memory data, bool forceCall) internal {
                  _upgradeTo(newImplementation);
                  if (data.length > 0 || forceCall) {
                      Address.functionDelegateCall(newImplementation, data);
                  }
              }
              /**
               * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCallUUPS(address newImplementation, bytes memory data, bool forceCall) internal {
                  // Upgrades from old implementations will perform a rollback test. This test requires the new
                  // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
                  // this special case will break upgrade paths from old UUPS implementation to new ones.
                  if (StorageSlot.getBooleanSlot(_ROLLBACK_SLOT).value) {
                      _setImplementation(newImplementation);
                  } else {
                      try IERC1822Proxiable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                          require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
                      } catch {
                          revert("ERC1967Upgrade: new implementation is not UUPS");
                      }
                      _upgradeToAndCall(newImplementation, data, forceCall);
                  }
              }
              /**
               * @dev Storage slot with the admin of the contract.
               * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
              /**
               * @dev Returns the current admin.
               */
              function _getAdmin() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_ADMIN_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 admin slot.
               */
              function _setAdmin(address newAdmin) private {
                  require(newAdmin != address(0), "ERC1967: new admin is the zero address");
                  StorageSlot.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
              }
              /**
               * @dev Changes the admin of the proxy.
               *
               * Emits an {AdminChanged} event.
               */
              function _changeAdmin(address newAdmin) internal {
                  emit AdminChanged(_getAdmin(), newAdmin);
                  _setAdmin(newAdmin);
              }
              /**
               * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
               * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
               */
              bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;
              /**
               * @dev Returns the current beacon.
               */
              function _getBeacon() internal view returns (address) {
                  return StorageSlot.getAddressSlot(_BEACON_SLOT).value;
              }
              /**
               * @dev Stores a new beacon in the EIP1967 beacon slot.
               */
              function _setBeacon(address newBeacon) private {
                  require(Address.isContract(newBeacon), "ERC1967: new beacon is not a contract");
                  require(
                      Address.isContract(IBeacon(newBeacon).implementation()),
                      "ERC1967: beacon implementation is not a contract"
                  );
                  StorageSlot.getAddressSlot(_BEACON_SLOT).value = newBeacon;
              }
              /**
               * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
               * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
               *
               * Emits a {BeaconUpgraded} event.
               */
              function _upgradeBeaconToAndCall(address newBeacon, bytes memory data, bool forceCall) internal {
                  _setBeacon(newBeacon);
                  emit BeaconUpgraded(newBeacon);
                  if (data.length > 0 || forceCall) {
                      Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev This is the interface that {BeaconProxy} expects of its beacon.
           */
          interface IBeacon {
              /**
               * @dev Must return an address that can be used as a delegate call target.
               *
               * {BeaconProxy} will check that this address is a contract.
               */
              function implementation() external view returns (address);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          /**
           * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.
           *
           * _Available since v4.8.3._
           */
          interface IERC1967 {
              /**
               * @dev Emitted when the implementation is upgraded.
               */
              event Upgraded(address indexed implementation);
              /**
               * @dev Emitted when the admin account has changed.
               */
              event AdminChanged(address previousAdmin, address newAdmin);
              /**
               * @dev Emitted when the beacon is changed.
               */
              event BeaconUpgraded(address indexed beacon);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
           * proxy whose upgrades are fully controlled by the current implementation.
           */
          interface IERC1822Proxiable {
              /**
               * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
               * address.
               *
               * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
               * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
               * function revert if invoked through a proxy.
               */
              function proxiableUUID() external view returns (bytes32);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
          pragma solidity ^0.8.1;
          /**
           * @dev Collection of functions related to the address type
           */
          library Address {
              /**
               * @dev Returns true if `account` is a contract.
               *
               * [IMPORTANT]
               * ====
               * It is unsafe to assume that an address for which this function returns
               * false is an externally-owned account (EOA) and not a contract.
               *
               * Among others, `isContract` will return false for the following
               * types of addresses:
               *
               *  - an externally-owned account
               *  - a contract in construction
               *  - an address where a contract will be created
               *  - an address where a contract lived, but was destroyed
               *
               * Furthermore, `isContract` will also return true if the target contract within
               * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
               * which only has an effect at the end of a transaction.
               * ====
               *
               * [IMPORTANT]
               * ====
               * You shouldn't rely on `isContract` to protect against flash loan attacks!
               *
               * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
               * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
               * constructor.
               * ====
               */
              function isContract(address account) internal view returns (bool) {
                  // This method relies on extcodesize/address.code.length, which returns 0
                  // for contracts in construction, since the code is only stored at the end
                  // of the constructor execution.
                  return account.code.length > 0;
              }
              /**
               * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
               * `recipient`, forwarding all available gas and reverting on errors.
               *
               * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
               * of certain opcodes, possibly making contracts go over the 2300 gas limit
               * imposed by `transfer`, making them unable to receive funds via
               * `transfer`. {sendValue} removes this limitation.
               *
               * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
               *
               * IMPORTANT: because control is transferred to `recipient`, care must be
               * taken to not create reentrancy vulnerabilities. Consider using
               * {ReentrancyGuard} or the
               * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
               */
              function sendValue(address payable recipient, uint256 amount) internal {
                  require(address(this).balance >= amount, "Address: insufficient balance");
                  (bool success, ) = recipient.call{value: amount}("");
                  require(success, "Address: unable to send value, recipient may have reverted");
              }
              /**
               * @dev Performs a Solidity function call using a low level `call`. A
               * plain `call` is an unsafe replacement for a function call: use this
               * function instead.
               *
               * If `target` reverts with a revert reason, it is bubbled up by this
               * function (like regular Solidity function calls).
               *
               * Returns the raw returned data. To convert to the expected return value,
               * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
               *
               * Requirements:
               *
               * - `target` must be a contract.
               * - calling `target` with `data` must not revert.
               *
               * _Available since v3.1._
               */
              function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, "Address: low-level call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
               * `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but also transferring `value` wei to `target`.
               *
               * Requirements:
               *
               * - the calling contract must have an ETH balance of at least `value`.
               * - the called Solidity function must be `payable`.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
              }
              /**
               * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
               * with `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  require(address(this).balance >= value, "Address: insufficient balance for call");
                  (bool success, bytes memory returndata) = target.call{value: value}(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                  return functionStaticCall(target, data, "Address: low-level static call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  (bool success, bytes memory returndata) = target.staticcall(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but performing a delegate call.
               *
               * _Available since v3.4._
               */
              function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                  return functionDelegateCall(target, data, "Address: low-level delegate call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a delegate call.
               *
               * _Available since v3.4._
               */
              function functionDelegateCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  (bool success, bytes memory returndata) = target.delegatecall(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
               * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
               *
               * _Available since v4.8._
               */
              function verifyCallResultFromTarget(
                  address target,
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  if (success) {
                      if (returndata.length == 0) {
                          // only check isContract if the call was successful and the return data is empty
                          // otherwise we already know that it was a contract
                          require(isContract(target), "Address: call to non-contract");
                      }
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              /**
               * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
               * revert reason or using the provided one.
               *
               * _Available since v4.3._
               */
              function verifyCallResult(
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal pure returns (bytes memory) {
                  if (success) {
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              function _revert(bytes memory returndata, string memory errorMessage) private pure {
                  // Look for revert reason and bubble it up if present
                  if (returndata.length > 0) {
                      // The easiest way to bubble the revert reason is using memory via assembly
                      /// @solidity memory-safe-assembly
                      assembly {
                          let returndata_size := mload(returndata)
                          revert(add(32, returndata), returndata_size)
                      }
                  } else {
                      revert(errorMessage);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (utils/StorageSlot.sol)
          // This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
          pragma solidity ^0.8.0;
          /**
           * @dev Library for reading and writing primitive types to specific storage slots.
           *
           * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
           * This library helps with reading and writing to such slots without the need for inline assembly.
           *
           * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
           *
           * Example usage to set ERC1967 implementation slot:
           * ```solidity
           * contract ERC1967 {
           *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
           *
           *     function _getImplementation() internal view returns (address) {
           *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
           *     }
           *
           *     function _setImplementation(address newImplementation) internal {
           *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
           *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
           *     }
           * }
           * ```
           *
           * _Available since v4.1 for `address`, `bool`, `bytes32`, `uint256`._
           * _Available since v4.9 for `string`, `bytes`._
           */
          library StorageSlot {
              struct AddressSlot {
                  address value;
              }
              struct BooleanSlot {
                  bool value;
              }
              struct Bytes32Slot {
                  bytes32 value;
              }
              struct Uint256Slot {
                  uint256 value;
              }
              struct StringSlot {
                  string value;
              }
              struct BytesSlot {
                  bytes value;
              }
              /**
               * @dev Returns an `AddressSlot` with member `value` located at `slot`.
               */
              function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
               */
              function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
               */
              function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
               */
              function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `StringSlot` with member `value` located at `slot`.
               */
              function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
               */
              function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := store.slot
                  }
              }
              /**
               * @dev Returns an `BytesSlot` with member `value` located at `slot`.
               */
              function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
               */
              function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := store.slot
                  }
              }
          }
          

          File 2 of 5: Archetype
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (interfaces/IERC2981.sol)
          pragma solidity ^0.8.0;
          import "../utils/introspection/IERC165Upgradeable.sol";
          /**
           * @dev Interface for the NFT Royalty Standard.
           *
           * A standardized way to retrieve royalty payment information for non-fungible tokens (NFTs) to enable universal
           * support for royalty payments across all NFT marketplaces and ecosystem participants.
           *
           * _Available since v4.5._
           */
          interface IERC2981Upgradeable is IERC165Upgradeable {
              /**
               * @dev Returns how much royalty is owed and to whom, based on a sale price that may be denominated in any unit of
               * exchange. The royalty amount is denominated and should be paid in that same unit of exchange.
               */
              function royaltyInfo(uint256 tokenId, uint256 salePrice)
                  external
                  view
                  returns (address receiver, uint256 royaltyAmount);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (proxy/utils/Initializable.sol)
          pragma solidity ^0.8.2;
          import "../../utils/AddressUpgradeable.sol";
          /**
           * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
           * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
           * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
           * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
           *
           * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
           * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
           * case an upgrade adds a module that needs to be initialized.
           *
           * For example:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * contract MyToken is ERC20Upgradeable {
           *     function initialize() initializer public {
           *         __ERC20_init("MyToken", "MTK");
           *     }
           * }
           * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
           *     function initializeV2() reinitializer(2) public {
           *         __ERC20Permit_init("MyToken");
           *     }
           * }
           * ```
           *
           * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
           * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
           *
           * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
           * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
           *
           * [CAUTION]
           * ====
           * Avoid leaving a contract uninitialized.
           *
           * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
           * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
           * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * /// @custom:oz-upgrades-unsafe-allow constructor
           * constructor() {
           *     _disableInitializers();
           * }
           * ```
           * ====
           */
          abstract contract Initializable {
              /**
               * @dev Indicates that the contract has been initialized.
               * @custom:oz-retyped-from bool
               */
              uint8 private _initialized;
              /**
               * @dev Indicates that the contract is in the process of being initialized.
               */
              bool private _initializing;
              /**
               * @dev Triggered when the contract has been initialized or reinitialized.
               */
              event Initialized(uint8 version);
              /**
               * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
               * `onlyInitializing` functions can be used to initialize parent contracts.
               *
               * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
               * constructor.
               *
               * Emits an {Initialized} event.
               */
              modifier initializer() {
                  bool isTopLevelCall = !_initializing;
                  require(
                      (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
                      "Initializable: contract is already initialized"
                  );
                  _initialized = 1;
                  if (isTopLevelCall) {
                      _initializing = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      _initializing = false;
                      emit Initialized(1);
                  }
              }
              /**
               * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
               * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
               * used to initialize parent contracts.
               *
               * A reinitializer may be used after the original initialization step. This is essential to configure modules that
               * are added through upgrades and that require initialization.
               *
               * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
               * cannot be nested. If one is invoked in the context of another, execution will revert.
               *
               * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
               * a contract, executing them in the right order is up to the developer or operator.
               *
               * WARNING: setting the version to 255 will prevent any future reinitialization.
               *
               * Emits an {Initialized} event.
               */
              modifier reinitializer(uint8 version) {
                  require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
                  _initialized = version;
                  _initializing = true;
                  _;
                  _initializing = false;
                  emit Initialized(version);
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} and {reinitializer} modifiers, directly or indirectly.
               */
              modifier onlyInitializing() {
                  require(_initializing, "Initializable: contract is not initializing");
                  _;
              }
              /**
               * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
               * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
               * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
               * through proxies.
               *
               * Emits an {Initialized} event the first time it is successfully executed.
               */
              function _disableInitializers() internal virtual {
                  require(!_initializing, "Initializable: contract is initializing");
                  if (_initialized < type(uint8).max) {
                      _initialized = type(uint8).max;
                      emit Initialized(type(uint8).max);
                  }
              }
              /**
               * @dev Internal function that returns the initialized version. Returns `_initialized`
               */
              function _getInitializedVersion() internal view returns (uint8) {
                  return _initialized;
              }
              /**
               * @dev Internal function that returns the initialized version. Returns `_initializing`
               */
              function _isInitializing() internal view returns (bool) {
                  return _initializing;
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (token/common/ERC2981.sol)
          pragma solidity ^0.8.0;
          import "../../interfaces/IERC2981Upgradeable.sol";
          import "../../utils/introspection/ERC165Upgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation of the NFT Royalty Standard, a standardized way to retrieve royalty payment information.
           *
           * Royalty information can be specified globally for all token ids via {_setDefaultRoyalty}, and/or individually for
           * specific token ids via {_setTokenRoyalty}. The latter takes precedence over the first.
           *
           * Royalty is specified as a fraction of sale price. {_feeDenominator} is overridable but defaults to 10000, meaning the
           * fee is specified in basis points by default.
           *
           * IMPORTANT: ERC-2981 only specifies a way to signal royalty information and does not enforce its payment. See
           * https://eips.ethereum.org/EIPS/eip-2981#optional-royalty-payments[Rationale] in the EIP. Marketplaces are expected to
           * voluntarily pay royalties together with sales, but note that this standard is not yet widely supported.
           *
           * _Available since v4.5._
           */
          abstract contract ERC2981Upgradeable is Initializable, IERC2981Upgradeable, ERC165Upgradeable {
              function __ERC2981_init() internal onlyInitializing {
              }
              function __ERC2981_init_unchained() internal onlyInitializing {
              }
              struct RoyaltyInfo {
                  address receiver;
                  uint96 royaltyFraction;
              }
              RoyaltyInfo private _defaultRoyaltyInfo;
              mapping(uint256 => RoyaltyInfo) private _tokenRoyaltyInfo;
              /**
               * @dev See {IERC165-supportsInterface}.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165Upgradeable, ERC165Upgradeable) returns (bool) {
                  return interfaceId == type(IERC2981Upgradeable).interfaceId || super.supportsInterface(interfaceId);
              }
              /**
               * @inheritdoc IERC2981Upgradeable
               */
              function royaltyInfo(uint256 _tokenId, uint256 _salePrice) public view virtual override returns (address, uint256) {
                  RoyaltyInfo memory royalty = _tokenRoyaltyInfo[_tokenId];
                  if (royalty.receiver == address(0)) {
                      royalty = _defaultRoyaltyInfo;
                  }
                  uint256 royaltyAmount = (_salePrice * royalty.royaltyFraction) / _feeDenominator();
                  return (royalty.receiver, royaltyAmount);
              }
              /**
               * @dev The denominator with which to interpret the fee set in {_setTokenRoyalty} and {_setDefaultRoyalty} as a
               * fraction of the sale price. Defaults to 10000 so fees are expressed in basis points, but may be customized by an
               * override.
               */
              function _feeDenominator() internal pure virtual returns (uint96) {
                  return 10000;
              }
              /**
               * @dev Sets the royalty information that all ids in this contract will default to.
               *
               * Requirements:
               *
               * - `receiver` cannot be the zero address.
               * - `feeNumerator` cannot be greater than the fee denominator.
               */
              function _setDefaultRoyalty(address receiver, uint96 feeNumerator) internal virtual {
                  require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
                  require(receiver != address(0), "ERC2981: invalid receiver");
                  _defaultRoyaltyInfo = RoyaltyInfo(receiver, feeNumerator);
              }
              /**
               * @dev Removes default royalty information.
               */
              function _deleteDefaultRoyalty() internal virtual {
                  delete _defaultRoyaltyInfo;
              }
              /**
               * @dev Sets the royalty information for a specific token id, overriding the global default.
               *
               * Requirements:
               *
               * - `receiver` cannot be the zero address.
               * - `feeNumerator` cannot be greater than the fee denominator.
               */
              function _setTokenRoyalty(
                  uint256 tokenId,
                  address receiver,
                  uint96 feeNumerator
              ) internal virtual {
                  require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
                  require(receiver != address(0), "ERC2981: Invalid parameters");
                  _tokenRoyaltyInfo[tokenId] = RoyaltyInfo(receiver, feeNumerator);
              }
              /**
               * @dev Resets royalty information for the token id back to the global default.
               */
              function _resetTokenRoyalty(uint256 tokenId) internal virtual {
                  delete _tokenRoyaltyInfo[tokenId];
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[48] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Interface of the ERC20 standard as defined in the EIP.
           */
          interface IERC20Upgradeable {
              /**
               * @dev Emitted when `value` tokens are moved from one account (`from`) to
               * another (`to`).
               *
               * Note that `value` may be zero.
               */
              event Transfer(address indexed from, address indexed to, uint256 value);
              /**
               * @dev Emitted when the allowance of a `spender` for an `owner` is set by
               * a call to {approve}. `value` is the new allowance.
               */
              event Approval(address indexed owner, address indexed spender, uint256 value);
              /**
               * @dev Returns the amount of tokens in existence.
               */
              function totalSupply() external view returns (uint256);
              /**
               * @dev Returns the amount of tokens owned by `account`.
               */
              function balanceOf(address account) external view returns (uint256);
              /**
               * @dev Moves `amount` tokens from the caller's account to `to`.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * Emits a {Transfer} event.
               */
              function transfer(address to, uint256 amount) external returns (bool);
              /**
               * @dev Returns the remaining number of tokens that `spender` will be
               * allowed to spend on behalf of `owner` through {transferFrom}. This is
               * zero by default.
               *
               * This value changes when {approve} or {transferFrom} are called.
               */
              function allowance(address owner, address spender) external view returns (uint256);
              /**
               * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * IMPORTANT: Beware that changing an allowance with this method brings the risk
               * that someone may use both the old and the new allowance by unfortunate
               * transaction ordering. One possible solution to mitigate this race
               * condition is to first reduce the spender's allowance to 0 and set the
               * desired value afterwards:
               * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
               *
               * Emits an {Approval} event.
               */
              function approve(address spender, uint256 amount) external returns (bool);
              /**
               * @dev Moves `amount` tokens from `from` to `to` using the
               * allowance mechanism. `amount` is then deducted from the caller's
               * allowance.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 amount
              ) external returns (bool);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
          pragma solidity ^0.8.1;
          /**
           * @dev Collection of functions related to the address type
           */
          library AddressUpgradeable {
              /**
               * @dev Returns true if `account` is a contract.
               *
               * [IMPORTANT]
               * ====
               * It is unsafe to assume that an address for which this function returns
               * false is an externally-owned account (EOA) and not a contract.
               *
               * Among others, `isContract` will return false for the following
               * types of addresses:
               *
               *  - an externally-owned account
               *  - a contract in construction
               *  - an address where a contract will be created
               *  - an address where a contract lived, but was destroyed
               * ====
               *
               * [IMPORTANT]
               * ====
               * You shouldn't rely on `isContract` to protect against flash loan attacks!
               *
               * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
               * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
               * constructor.
               * ====
               */
              function isContract(address account) internal view returns (bool) {
                  // This method relies on extcodesize/address.code.length, which returns 0
                  // for contracts in construction, since the code is only stored at the end
                  // of the constructor execution.
                  return account.code.length > 0;
              }
              /**
               * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
               * `recipient`, forwarding all available gas and reverting on errors.
               *
               * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
               * of certain opcodes, possibly making contracts go over the 2300 gas limit
               * imposed by `transfer`, making them unable to receive funds via
               * `transfer`. {sendValue} removes this limitation.
               *
               * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
               *
               * IMPORTANT: because control is transferred to `recipient`, care must be
               * taken to not create reentrancy vulnerabilities. Consider using
               * {ReentrancyGuard} or the
               * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
               */
              function sendValue(address payable recipient, uint256 amount) internal {
                  require(address(this).balance >= amount, "Address: insufficient balance");
                  (bool success, ) = recipient.call{value: amount}("");
                  require(success, "Address: unable to send value, recipient may have reverted");
              }
              /**
               * @dev Performs a Solidity function call using a low level `call`. A
               * plain `call` is an unsafe replacement for a function call: use this
               * function instead.
               *
               * If `target` reverts with a revert reason, it is bubbled up by this
               * function (like regular Solidity function calls).
               *
               * Returns the raw returned data. To convert to the expected return value,
               * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
               *
               * Requirements:
               *
               * - `target` must be a contract.
               * - calling `target` with `data` must not revert.
               *
               * _Available since v3.1._
               */
              function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, "Address: low-level call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
               * `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but also transferring `value` wei to `target`.
               *
               * Requirements:
               *
               * - the calling contract must have an ETH balance of at least `value`.
               * - the called Solidity function must be `payable`.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
              }
              /**
               * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
               * with `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  require(address(this).balance >= value, "Address: insufficient balance for call");
                  (bool success, bytes memory returndata) = target.call{value: value}(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                  return functionStaticCall(target, data, "Address: low-level static call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  (bool success, bytes memory returndata) = target.staticcall(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
               * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
               *
               * _Available since v4.8._
               */
              function verifyCallResultFromTarget(
                  address target,
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  if (success) {
                      if (returndata.length == 0) {
                          // only check isContract if the call was successful and the return data is empty
                          // otherwise we already know that it was a contract
                          require(isContract(target), "Address: call to non-contract");
                      }
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              /**
               * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
               * revert reason or using the provided one.
               *
               * _Available since v4.3._
               */
              function verifyCallResult(
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal pure returns (bytes memory) {
                  if (success) {
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              function _revert(bytes memory returndata, string memory errorMessage) private pure {
                  // Look for revert reason and bubble it up if present
                  if (returndata.length > 0) {
                      // The easiest way to bubble the revert reason is using memory via assembly
                      /// @solidity memory-safe-assembly
                      assembly {
                          let returndata_size := mload(returndata)
                          revert(add(32, returndata), returndata_size)
                      }
                  } else {
                      revert(errorMessage);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)
          pragma solidity ^0.8.0;
          import "./IERC165Upgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation of the {IERC165} interface.
           *
           * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
           * for the additional interface id that will be supported. For example:
           *
           * ```solidity
           * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
           *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
           * }
           * ```
           *
           * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
           */
          abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
              function __ERC165_init() internal onlyInitializing {
              }
              function __ERC165_init_unchained() internal onlyInitializing {
              }
              /**
               * @dev See {IERC165-supportsInterface}.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                  return interfaceId == type(IERC165Upgradeable).interfaceId;
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Interface of the ERC165 standard, as defined in the
           * https://eips.ethereum.org/EIPS/eip-165[EIP].
           *
           * Implementers can declare support of contract interfaces, which can then be
           * queried by others ({ERC165Checker}).
           *
           * For an implementation, see {ERC165}.
           */
          interface IERC165Upgradeable {
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30 000 gas.
               */
              function supportsInterface(bytes4 interfaceId) external view returns (bool);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Optimized and flexible operator filterer to abide to OpenSea's
          /// mandatory on-chain royalty enforcement in order for new collections to
          /// receive royalties.
          /// For more information, see:
          /// See: https://github.com/ProjectOpenSea/operator-filter-registry
          abstract contract OperatorFilterer {
              /// @dev The default OpenSea operator blocklist subscription.
              address internal constant _DEFAULT_SUBSCRIPTION = 0x3cc6CddA760b79bAfa08dF41ECFA224f810dCeB6;
              /// @dev The OpenSea operator filter registry.
              address internal constant _OPERATOR_FILTER_REGISTRY = 0x000000000000AAeB6D7670E522A718067333cd4E;
              /// @dev Registers the current contract to OpenSea's operator filter,
              /// and subscribe to the default OpenSea operator blocklist.
              /// Note: Will not revert nor update existing settings for repeated registration.
              function _registerForOperatorFiltering() internal virtual {
                  _registerForOperatorFiltering(_DEFAULT_SUBSCRIPTION, true);
              }
              /// @dev Registers the current contract to OpenSea's operator filter.
              /// Note: Will not revert nor update existing settings for repeated registration.
              function _registerForOperatorFiltering(address subscriptionOrRegistrantToCopy, bool subscribe)
                  internal
                  virtual
              {
                  /// @solidity memory-safe-assembly
                  assembly {
                      let functionSelector := 0x7d3e3dbe // `registerAndSubscribe(address,address)`.
                      // Clean the upper 96 bits of `subscriptionOrRegistrantToCopy` in case they are dirty.
                      subscriptionOrRegistrantToCopy := shr(96, shl(96, subscriptionOrRegistrantToCopy))
                      for {} iszero(subscribe) {} {
                          if iszero(subscriptionOrRegistrantToCopy) {
                              functionSelector := 0x4420e486 // `register(address)`.
                              break
                          }
                          functionSelector := 0xa0af2903 // `registerAndCopyEntries(address,address)`.
                          break
                      }
                      // Store the function selector.
                      mstore(0x00, shl(224, functionSelector))
                      // Store the `address(this)`.
                      mstore(0x04, address())
                      // Store the `subscriptionOrRegistrantToCopy`.
                      mstore(0x24, subscriptionOrRegistrantToCopy)
                      // Register into the registry.
                      if iszero(call(gas(), _OPERATOR_FILTER_REGISTRY, 0, 0x00, 0x44, 0x00, 0x04)) {
                          // If the function selector has not been overwritten,
                          // it is an out-of-gas error.
                          if eq(shr(224, mload(0x00)), functionSelector) {
                              // To prevent gas under-estimation.
                              revert(0, 0)
                          }
                      }
                      // Restore the part of the free memory pointer that was overwritten,
                      // which is guaranteed to be zero, because of Solidity's memory size limits.
                      mstore(0x24, 0)
                  }
              }
              /// @dev Modifier to guard a function and revert if the caller is a blocked operator.
              modifier onlyAllowedOperator(address from) virtual {
                  if (from != msg.sender) {
                      if (!_isPriorityOperator(msg.sender)) {
                          if (_operatorFilteringEnabled()) _revertIfBlocked(msg.sender);
                      }
                  }
                  _;
              }
              /// @dev Modifier to guard a function from approving a blocked operator..
              modifier onlyAllowedOperatorApproval(address operator) virtual {
                  if (!_isPriorityOperator(operator)) {
                      if (_operatorFilteringEnabled()) _revertIfBlocked(operator);
                  }
                  _;
              }
              /// @dev Helper function that reverts if the `operator` is blocked by the registry.
              function _revertIfBlocked(address operator) private view {
                  /// @solidity memory-safe-assembly
                  assembly {
                      // Store the function selector of `isOperatorAllowed(address,address)`,
                      // shifted left by 6 bytes, which is enough for 8tb of memory.
                      // We waste 6-3 = 3 bytes to save on 6 runtime gas (PUSH1 0x224 SHL).
                      mstore(0x00, 0xc6171134001122334455)
                      // Store the `address(this)`.
                      mstore(0x1a, address())
                      // Store the `operator`.
                      mstore(0x3a, operator)
                      // `isOperatorAllowed` always returns true if it does not revert.
                      if iszero(staticcall(gas(), _OPERATOR_FILTER_REGISTRY, 0x16, 0x44, 0x00, 0x00)) {
                          // Bubble up the revert if the staticcall reverts.
                          returndatacopy(0x00, 0x00, returndatasize())
                          revert(0x00, returndatasize())
                      }
                      // We'll skip checking if `from` is inside the blacklist.
                      // Even though that can block transferring out of wrapper contracts,
                      // we don't want tokens to be stuck.
                      // Restore the part of the free memory pointer that was overwritten,
                      // which is guaranteed to be zero, if less than 8tb of memory is used.
                      mstore(0x3a, 0)
                  }
              }
              /// @dev For deriving contracts to override, so that operator filtering
              /// can be turned on / off.
              /// Returns true by default.
              function _operatorFilteringEnabled() internal view virtual returns (bool) {
                  return true;
              }
              /// @dev For deriving contracts to override, so that preferred marketplaces can
              /// skip operator filtering, helping users save gas.
              /// Returns false for all inputs by default.
              function _isPriorityOperator(address) internal view virtual returns (bool) {
                  return false;
              }
          }
          // SPDX-License-Identifier: MIT
          // Archetype v0.6.0
          //
          //        d8888                 888               888
          //       d88888                 888               888
          //      d88P888                 888               888
          //     d88P 888 888d888 .d8888b 88888b.   .d88b.  888888 888  888 88888b.   .d88b.
          //    d88P  888 888P"  d88P"    888 "88b d8P  Y8b 888    888  888 888 "88b d8P  Y8b
          //   d88P   888 888    888      888  888 88888888 888    888  888 888  888 88888888
          //  d8888888888 888    Y88b.    888  888 Y8b.     Y88b.  Y88b 888 888 d88P Y8b.
          // d88P     888 888     "Y8888P 888  888  "Y8888   "Y888  "Y88888 88888P"   "Y8888
          //                                                            888 888
          //                                                       Y8b d88P 888
          //                                                        "Y88P"  888
          pragma solidity ^0.8.4;
          import "./ArchetypeLogic.sol";
          import "erc721a-upgradeable/contracts/ERC721AUpgradeable.sol";
          import "erc721a-upgradeable/contracts/ERC721A__Initializable.sol";
          import "erc721a-upgradeable/contracts/extensions/ERC721AQueryableUpgradeable.sol";
          import "./ERC721A__OwnableUpgradeable.sol";
          import "solady/src/utils/LibString.sol";
          import "closedsea/src/OperatorFilterer.sol";
          import "@openzeppelin/contracts-upgradeable/token/common/ERC2981Upgradeable.sol";
          contract Archetype is
            ERC721A__Initializable,
            ERC721AUpgradeable,
            OperatorFilterer,
            ERC721A__OwnableUpgradeable,
            ERC2981Upgradeable,
            ERC721AQueryableUpgradeable
          {
            //
            // EVENTS
            //
            event Invited(bytes32 indexed key, bytes32 indexed cid);
            event Referral(address indexed affiliate, address token, uint128 wad, uint256 numMints);
            event Withdrawal(address indexed src, address token, uint128 wad);
            //
            // VARIABLES
            //
            mapping(bytes32 => DutchInvite) public invites;
            mapping(address => mapping(bytes32 => uint256)) private _minted;
            mapping(bytes32 => uint256) private _listSupply;
            mapping(address => OwnerBalance) private _ownerBalance;
            mapping(address => mapping(address => uint128)) private _affiliateBalance;
            Config public config;
            BurnConfig public burnConfig;
            Options public options;
            //
            // METHODS
            //
            function initialize(
              string memory name,
              string memory symbol,
              Config calldata config_,
              address _receiver
            ) external initializerERC721A {
              __ERC721A_init(name, symbol);
              // check max bps not reached and min platform fee.
              if (
                config_.affiliateFee > MAXBPS ||
                config_.platformFee > MAXBPS ||
                config_.platformFee < 500 ||
                config_.discounts.affiliateDiscount > MAXBPS ||
                config_.affiliateSigner == address(0) ||
                config_.maxBatchSize == 0
              ) {
                revert InvalidConfig();
              }
              // ensure mint tiers are correctly ordered from highest to lowest.
              for (uint256 i = 1; i < config_.discounts.mintTiers.length; ) {
                if (
                  config_.discounts.mintTiers[i].mintDiscount > MAXBPS ||
                  config_.discounts.mintTiers[i].numMints > config_.discounts.mintTiers[i - 1].numMints
                ) {
                  revert InvalidConfig();
                }
                unchecked {
                  ++i;
                }
              }
              config = config_;
              __Ownable_init();
              if (config.ownerAltPayout != address(0)) {
                setDefaultRoyalty(config.ownerAltPayout, config.defaultRoyalty);
              } else {
                setDefaultRoyalty(_receiver, config.defaultRoyalty);
              }
            }
            //
            // PUBLIC
            //
            function mint(
              Auth calldata auth,
              uint256 quantity,
              address affiliate,
              bytes calldata signature
            ) external payable {
              mintTo(auth, quantity, _msgSender(), affiliate, signature);
            }
            function batchMintTo(
              Auth calldata auth,
              address[] calldata toList,
              uint256[] calldata quantityList,
              address affiliate,
              bytes calldata signature
            ) external payable {
              if (quantityList.length != toList.length) {
                revert InvalidConfig();
              }
              DutchInvite storage invite = invites[auth.key];
              uint256 curSupply = _totalMinted();
              uint256 quantity;
              for (uint256 i; i < toList.length; ) {
                uint256 quantityToAdd;
                if (invite.unitSize > 1) {
                  quantityToAdd = quantityList[i] * invite.unitSize;
                } else {
                  quantityToAdd = quantityList[i];
                }
                quantity += quantityToAdd;
                _mint(toList[i], quantityToAdd);
                unchecked {
                  ++i;
                }
              }
              ArchetypeLogic.validateMint(
                invite,
                config,
                auth,
                quantity,
                owner(),
                affiliate,
                curSupply,
                _minted,
                _listSupply,
                signature
              );
              if (invite.limit < invite.maxSupply) {
                _minted[_msgSender()][auth.key] += quantity;
              }
              if (invite.maxSupply < config.maxSupply) {
                _listSupply[auth.key] += quantity;
              }
              ArchetypeLogic.updateBalances(
                invite,
                config,
                _ownerBalance,
                _affiliateBalance,
                affiliate,
                quantity
              );
            }
            function mintTo(
              Auth calldata auth,
              uint256 quantity,
              address to,
              address affiliate,
              bytes calldata signature
            ) public payable {
              DutchInvite storage i = invites[auth.key];
              if (i.unitSize > 1) {
                quantity = quantity * i.unitSize;
              }
              uint256 curSupply = _totalMinted();
              ArchetypeLogic.validateMint(
                i,
                config,
                auth,
                quantity,
                owner(),
                affiliate,
                curSupply,
                _minted,
                _listSupply,
                signature
              );
              _mint(to, quantity);
              if (i.limit < i.maxSupply) {
                _minted[_msgSender()][auth.key] += quantity;
              }
              if (i.maxSupply < config.maxSupply) {
                _listSupply[auth.key] += quantity;
              }
              ArchetypeLogic.updateBalances(i, config, _ownerBalance, _affiliateBalance, affiliate, quantity);
            }
            function burnToMint(uint256[] calldata tokenIds) external {
              uint256 curSupply = _totalMinted();
              ArchetypeLogic.validateBurnToMint(config, burnConfig, tokenIds, curSupply, _minted);
              address msgSender = _msgSender();
              for (uint256 i; i < tokenIds.length; ) {
                address burnAddress = burnConfig.burnAddress != address(0)
                  ? burnConfig.burnAddress
                  : address(0x000000000000000000000000000000000000dEaD);
                burnConfig.archetype.transferFrom(msgSender, burnAddress, tokenIds[i]);
                unchecked {
                  ++i;
                }
              }
              uint256 quantity = burnConfig.reversed
                ? tokenIds.length * burnConfig.ratio
                : tokenIds.length / burnConfig.ratio;
              _mint(msgSender, quantity);
              if (burnConfig.limit < config.maxSupply) {
                _minted[msgSender][bytes32("burn")] += quantity;
              }
            }
            function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
              if (!_exists(tokenId)) revert URIQueryForNonexistentToken();
              return
                bytes(config.baseUri).length != 0
                  ? string(abi.encodePacked(config.baseUri, LibString.toString(tokenId)))
                  : "";
            }
            function withdraw() external {
              address[] memory tokens = new address[](1);
              tokens[0] = address(0);
              withdrawTokens(tokens);
            }
            function withdrawTokens(address[] memory tokens) public {
              ArchetypeLogic.withdrawTokens(config, _ownerBalance, _affiliateBalance, owner(), tokens);
            }
            function ownerBalance() external view returns (OwnerBalance memory) {
              return _ownerBalance[address(0)];
            }
            function ownerBalanceToken(address token) external view returns (OwnerBalance memory) {
              return _ownerBalance[token];
            }
            function affiliateBalance(address affiliate) external view returns (uint128) {
              return _affiliateBalance[affiliate][address(0)];
            }
            function affiliateBalanceToken(address affiliate, address token) external view returns (uint128) {
              return _affiliateBalance[affiliate][token];
            }
            function minted(address minter, bytes32 key) external view returns (uint256) {
              return _minted[minter][key];
            }
            function listSupply(bytes32 key) external view returns (uint256) {
              return _listSupply[key];
            }
            function platform() external pure returns (address) {
              return PLATFORM;
            }
            function computePrice(
              bytes32 key,
              uint256 quantity,
              bool affiliateUsed
            ) external view returns (uint256) {
              DutchInvite storage i = invites[key];
              return ArchetypeLogic.computePrice(i, config.discounts, quantity, affiliateUsed);
            }
            //
            // OWNER ONLY
            //
            function setBaseURI(string memory baseUri) external _onlyOwner {
              if (options.uriLocked) {
                revert LockedForever();
              }
              config.baseUri = baseUri;
            }
            /// @notice the password is "forever"
            function lockURI(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.uriLocked = true;
            }
            /// @notice the password is "forever"
            // max supply cannot subceed total supply. Be careful changing.
            function setMaxSupply(uint32 maxSupply, string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              if (options.maxSupplyLocked) {
                revert LockedForever();
              }
              if (maxSupply < _totalMinted()) {
                revert MaxSupplyExceeded();
              }
              config.maxSupply = maxSupply;
            }
            /// @notice the password is "forever"
            function lockMaxSupply(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.maxSupplyLocked = true;
            }
            function setAffiliateFee(uint16 affiliateFee) external _onlyOwner {
              if (options.affiliateFeeLocked) {
                revert LockedForever();
              }
              if (affiliateFee > MAXBPS) {
                revert InvalidConfig();
              }
              config.affiliateFee = affiliateFee;
            }
            /// @notice the password is "forever"
            function lockAffiliateFee(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.affiliateFeeLocked = true;
            }
            function setDiscounts(Discount calldata discounts) external _onlyOwner {
              if (options.discountsLocked) {
                revert LockedForever();
              }
              if (discounts.affiliateDiscount > MAXBPS) {
                revert InvalidConfig();
              }
              // ensure mint tiers are correctly ordered from highest to lowest.
              for (uint256 i = 1; i < discounts.mintTiers.length; ) {
                if (
                  discounts.mintTiers[i].mintDiscount > MAXBPS ||
                  discounts.mintTiers[i].numMints > discounts.mintTiers[i - 1].numMints
                ) {
                  revert InvalidConfig();
                }
                unchecked {
                  ++i;
                }
              }
              config.discounts = discounts;
            }
            /// @notice the password is "forever"
            function lockDiscounts(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.discountsLocked = true;
            }
            function setOwnerAltPayout(address ownerAltPayout) external _onlyOwner {
              if (options.ownerAltPayoutLocked) {
                revert LockedForever();
              }
              config.ownerAltPayout = ownerAltPayout;
            }
            /// @notice the password is "forever"
            function lockOwnerAltPayout(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.ownerAltPayoutLocked = true;
            }
            function setMaxBatchSize(uint32 maxBatchSize) external _onlyOwner {
              config.maxBatchSize = maxBatchSize;
            }
            function setInvite(
              bytes32 _key,
              bytes32 _cid,
              Invite calldata _invite
            ) external _onlyOwner {
              invites[_key] = DutchInvite({
                price: _invite.price,
                reservePrice: _invite.price,
                delta: 0,
                start: _invite.start,
                end: _invite.end,
                limit: _invite.limit,
                maxSupply: _invite.maxSupply,
                interval: 0,
                unitSize: _invite.unitSize,
                tokenAddress: _invite.tokenAddress
              });
              emit Invited(_key, _cid);
            }
            function setDutchInvite(
              bytes32 _key,
              bytes32 _cid,
              DutchInvite memory _dutchInvite
            ) external _onlyOwner {
              if (_dutchInvite.start < block.timestamp) {
                _dutchInvite.start = uint32(block.timestamp);
              }
              invites[_key] = _dutchInvite;
              emit Invited(_key, _cid);
            }
            function enableBurnToMint(
              address archetype,
              address burnAddress,
              bool reversed,
              uint16 ratio,
              uint64 start,
              uint64 limit
            ) external _onlyOwner {
              burnConfig = BurnConfig({
                archetype: IERC721AUpgradeable(archetype),
                burnAddress: burnAddress,
                enabled: true,
                reversed: reversed,
                ratio: ratio,
                start: start,
                limit: limit
              });
            }
            function disableBurnToMint() external _onlyOwner {
              burnConfig = BurnConfig({
                archetype: IERC721AUpgradeable(address(0)),
                burnAddress: address(0),
                enabled: false,
                reversed: false,
                ratio: 0,
                start: 0,
                limit: 0
              });
            }
            //
            // PLATFORM ONLY
            //
            function setSuperAffiliatePayout(address superAffiliatePayout) external _onlyPlatform {
              config.superAffiliatePayout = superAffiliatePayout;
            }
            //
            // INTERNAL
            //
            function _startTokenId() internal view virtual override returns (uint256) {
              return 1;
            }
            function _msgSender() internal view returns (address) {
              return msg.sender == BATCH ? tx.origin : msg.sender;
            }
            modifier _onlyPlatform() {
              if (_msgSender() != PLATFORM) {
                revert NotPlatform();
              }
              _;
            }
            modifier _onlyOwner() {
              if (_msgSender() != owner()) {
                revert NotOwner();
              }
              _;
            }
            // OPTIONAL ROYALTY ENFORCEMENT WITH OPENSEA
            function enableRoyaltyEnforcement() external _onlyOwner {
              if (options.royaltyEnforcementLocked) {
                revert LockedForever();
              }
              _registerForOperatorFiltering();
              options.royaltyEnforcementEnabled = true;
            }
            function disableRoyaltyEnforcement() external _onlyOwner {
              if (options.royaltyEnforcementLocked) {
                revert LockedForever();
              }
              options.royaltyEnforcementEnabled = false;
            }
            /// @notice the password is "forever"
            function lockRoyaltyEnforcement(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.royaltyEnforcementLocked = true;
            }
            function setApprovalForAll(address operator, bool approved)
              public
              override
              onlyAllowedOperatorApproval(operator)
            {
              super.setApprovalForAll(operator, approved);
            }
            function approve(address operator, uint256 tokenId)
              public
              payable
              override
              onlyAllowedOperatorApproval(operator)
            {
              super.approve(operator, tokenId);
            }
            function transferFrom(
              address from,
              address to,
              uint256 tokenId
            ) public payable override onlyAllowedOperator(from) {
              super.transferFrom(from, to, tokenId);
            }
            function safeTransferFrom(
              address from,
              address to,
              uint256 tokenId
            ) public payable override onlyAllowedOperator(from) {
              super.safeTransferFrom(from, to, tokenId);
            }
            function safeTransferFrom(
              address from,
              address to,
              uint256 tokenId,
              bytes memory data
            ) public payable override onlyAllowedOperator(from) {
              super.safeTransferFrom(from, to, tokenId, data);
            }
            function _operatorFilteringEnabled() internal view override returns (bool) {
              return options.royaltyEnforcementEnabled;
            }
            //ERC2981 ROYALTY
            function supportsInterface(bytes4 interfaceId)
              public
              view
              virtual
              override(ERC721AUpgradeable, ERC2981Upgradeable)
              returns (bool)
            {
              // Supports the following `interfaceId`s:
              // - IERC165: 0x01ffc9a7
              // - IERC721: 0x80ac58cd
              // - IERC721Metadata: 0x5b5e139f
              // - IERC2981: 0x2a55205a
              return
                ERC721AUpgradeable.supportsInterface(interfaceId) ||
                ERC2981Upgradeable.supportsInterface(interfaceId);
            }
            function setDefaultRoyalty(address receiver, uint16 feeNumerator) public _onlyOwner {
              config.defaultRoyalty = feeNumerator;
              _setDefaultRoyalty(receiver, feeNumerator);
            }
          }
          // SPDX-License-Identifier: MIT
          // ArchetypeLogic v0.6.0
          //
          //        d8888                 888               888
          //       d88888                 888               888
          //      d88P888                 888               888
          //     d88P 888 888d888 .d8888b 88888b.   .d88b.  888888 888  888 88888b.   .d88b.
          //    d88P  888 888P"  d88P"    888 "88b d8P  Y8b 888    888  888 888 "88b d8P  Y8b
          //   d88P   888 888    888      888  888 88888888 888    888  888 888  888 88888888
          //  d8888888888 888    Y88b.    888  888 Y8b.     Y88b.  Y88b 888 888 d88P Y8b.
          // d88P     888 888     "Y8888P 888  888  "Y8888   "Y888  "Y88888 88888P"   "Y8888
          //                                                            888 888
          //                                                       Y8b d88P 888
          //                                                        "Y88P"  888
          pragma solidity ^0.8.4;
          import "erc721a-upgradeable/contracts/ERC721AUpgradeable.sol";
          import "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
          import "solady/src/utils/MerkleProofLib.sol";
          import "solady/src/utils/ECDSA.sol";
          error InvalidConfig();
          error MintNotYetStarted();
          error MintEnded();
          error WalletUnauthorizedToMint();
          error InsufficientEthSent();
          error ExcessiveEthSent();
          error Erc20BalanceTooLow();
          error MaxSupplyExceeded();
          error ListMaxSupplyExceeded();
          error NumberOfMintsExceeded();
          error MintingPaused();
          error InvalidReferral();
          error InvalidSignature();
          error BalanceEmpty();
          error TransferFailed();
          error MaxBatchSizeExceeded();
          error BurnToMintDisabled();
          error NotTokenOwner();
          error NotPlatform();
          error NotOwner();
          error NotApprovedToTransfer();
          error InvalidAmountOfTokens();
          error WrongPassword();
          error LockedForever();
          //
          // STRUCTS
          //
          struct Auth {
            bytes32 key;
            bytes32[] proof;
          }
          struct MintTier {
            uint16 numMints;
            uint16 mintDiscount; //BPS
          }
          struct Discount {
            uint16 affiliateDiscount; //BPS
            MintTier[] mintTiers;
          }
          struct Config {
            string baseUri;
            address affiliateSigner;
            address ownerAltPayout; // optional alternative address for owner withdrawals.
            address superAffiliatePayout; // optional super affiliate address, will receive half of platform fee if set.
            uint32 maxSupply;
            uint32 maxBatchSize;
            uint16 affiliateFee; //BPS
            uint16 platformFee; //BPS
            uint16 defaultRoyalty; //BPS
            Discount discounts;
          }
          struct Options {
            bool uriLocked;
            bool maxSupplyLocked;
            bool affiliateFeeLocked;
            bool discountsLocked;
            bool ownerAltPayoutLocked;
            bool royaltyEnforcementEnabled;
            bool royaltyEnforcementLocked;
          }
          struct DutchInvite {
            uint128 price;
            uint128 reservePrice;
            uint128 delta;
            uint32 start;
            uint32 end;
            uint32 limit;
            uint32 maxSupply;
            uint32 interval;
            uint32 unitSize; // mint 1 get x
            address tokenAddress;
          }
          struct Invite {
            uint128 price;
            uint32 start;
            uint32 end;
            uint32 limit;
            uint32 maxSupply;
            uint32 unitSize; // mint 1 get x
            address tokenAddress;
          }
          struct OwnerBalance {
            uint128 owner;
            uint128 platform;
          }
          struct BurnConfig {
            IERC721AUpgradeable archetype;
            address burnAddress;
            bool enabled;
            bool reversed; // side of the ratio (false=burn {ratio} get 1, true=burn 1 get {ratio})
            uint16 ratio;
            uint64 start;
            uint64 limit;
          }
          address constant PLATFORM = 0x86B82972282Dd22348374bC63fd21620F7ED847B;
          address constant BATCH = 0x6Bc558A6DC48dEfa0e7022713c23D65Ab26e4Fa7;
          uint16 constant MAXBPS = 5000; // max fee or discount is 50%
          library ArchetypeLogic {
            //
            // EVENTS
            //
            event Invited(bytes32 indexed key, bytes32 indexed cid);
            event Referral(address indexed affiliate, address token, uint128 wad, uint256 numMints);
            event Withdrawal(address indexed src, address token, uint128 wad);
            // calculate price based on affiliate usage and mint discounts
            function computePrice(
              DutchInvite storage invite,
              Discount storage discounts,
              uint256 numTokens,
              bool affiliateUsed
            ) public view returns (uint256) {
              uint256 price = invite.price;
              if (invite.interval != 0) {
                uint256 diff = (((block.timestamp - invite.start) / invite.interval) * invite.delta);
                if (price > invite.reservePrice) {
                  if (diff > price - invite.reservePrice) {
                    price = invite.reservePrice;
                  } else {
                    price = price - diff;
                  }
                } else if (price < invite.reservePrice) {
                  if (diff > invite.reservePrice - price) {
                    price = invite.reservePrice;
                  } else {
                    price = price + diff;
                  }
                }
              }
              uint256 cost = price * numTokens;
              if (affiliateUsed) {
                cost = cost - ((cost * discounts.affiliateDiscount) / 10000);
              }
              uint256 numMints = discounts.mintTiers.length;
              for (uint256 i; i < numMints; ) {
                uint256 tierNumMints = discounts.mintTiers[i].numMints;
                if (numTokens >= tierNumMints) {
                  return cost - ((cost * discounts.mintTiers[i].mintDiscount) / 10000);
                }
                unchecked {
                  ++i;
                }
              }
              return cost;
            }
            function validateMint(
              DutchInvite storage i,
              Config storage config,
              Auth calldata auth,
              uint256 quantity,
              address owner,
              address affiliate,
              uint256 curSupply,
              mapping(address => mapping(bytes32 => uint256)) storage minted,
              mapping(bytes32 => uint256) storage listSupply,
              bytes calldata signature
            ) public view {
              address msgSender = _msgSender();
              if (affiliate != address(0)) {
                if (affiliate == PLATFORM || affiliate == owner || affiliate == msgSender) {
                  revert InvalidReferral();
                }
                validateAffiliate(affiliate, signature, config.affiliateSigner);
              }
              if (i.limit == 0) {
                revert MintingPaused();
              }
              if (!verify(auth, i.tokenAddress, msgSender)) {
                revert WalletUnauthorizedToMint();
              }
              if (block.timestamp < i.start) {
                revert MintNotYetStarted();
              }
              if (i.end > i.start && block.timestamp > i.end) {
                revert MintEnded();
              }
              if (i.limit < i.maxSupply) {
                uint256 totalAfterMint = minted[msgSender][auth.key] + quantity;
                if (totalAfterMint > i.limit) {
                  revert NumberOfMintsExceeded();
                }
              }
              if (i.maxSupply < config.maxSupply) {
                uint256 totalAfterMint = listSupply[auth.key] + quantity;
                if (totalAfterMint > i.maxSupply) {
                  revert ListMaxSupplyExceeded();
                }
              }
              if (quantity > config.maxBatchSize) {
                revert MaxBatchSizeExceeded();
              }
              if ((curSupply + quantity) > config.maxSupply) {
                revert MaxSupplyExceeded();
              }
              uint256 cost = computePrice(i, config.discounts, quantity, affiliate != address(0));
              if (i.tokenAddress != address(0)) {
                IERC20Upgradeable erc20Token = IERC20Upgradeable(i.tokenAddress);
                if (erc20Token.allowance(msgSender, address(this)) < cost) {
                  revert NotApprovedToTransfer();
                }
                if (erc20Token.balanceOf(msgSender) < cost) {
                  revert Erc20BalanceTooLow();
                }
                if (msg.value != 0) {
                  revert ExcessiveEthSent();
                }
              } else {
                if (msg.value < cost) {
                  revert InsufficientEthSent();
                }
                if (msg.value > cost) {
                  revert ExcessiveEthSent();
                }
              }
            }
            function validateBurnToMint(
              Config storage config,
              BurnConfig storage burnConfig,
              uint256[] calldata tokenIds,
              uint256 curSupply,
              mapping(address => mapping(bytes32 => uint256)) storage minted
            ) public view {
              if (!burnConfig.enabled) {
                revert BurnToMintDisabled();
              }
              if (block.timestamp < burnConfig.start) {
                revert MintNotYetStarted();
              }
              // check if msgSender owns tokens and has correct approvals
              address msgSender = _msgSender();
              for (uint256 i; i < tokenIds.length; ) {
                if (burnConfig.archetype.ownerOf(tokenIds[i]) != msgSender) {
                  revert NotTokenOwner();
                }
                unchecked {
                  ++i;
                }
              }
              if (!burnConfig.archetype.isApprovedForAll(msgSender, address(this))) {
                revert NotApprovedToTransfer();
              }
              uint256 quantity;
              if (burnConfig.reversed) {
                quantity = tokenIds.length * burnConfig.ratio;
              } else {
                if (tokenIds.length % burnConfig.ratio != 0) {
                  revert InvalidAmountOfTokens();
                }
                quantity = tokenIds.length / burnConfig.ratio;
              }
              if (quantity > config.maxBatchSize) {
                revert MaxBatchSizeExceeded();
              }
              if (burnConfig.limit < config.maxSupply) {
                uint256 totalAfterMint = minted[msgSender][bytes32("burn")] + quantity;
                if (totalAfterMint > burnConfig.limit) {
                  revert NumberOfMintsExceeded();
                }
              }
              if ((curSupply + quantity) > config.maxSupply) {
                revert MaxSupplyExceeded();
              }
            }
            function updateBalances(
              DutchInvite storage i,
              Config storage config,
              mapping(address => OwnerBalance) storage _ownerBalance,
              mapping(address => mapping(address => uint128)) storage _affiliateBalance,
              address affiliate,
              uint256 quantity
            ) public {
              address tokenAddress = i.tokenAddress;
              uint128 value = uint128(msg.value);
              if (tokenAddress != address(0)) {
                value = uint128(computePrice(i, config.discounts, quantity, affiliate != address(0)));
              }
              uint128 affiliateWad;
              if (affiliate != address(0)) {
                affiliateWad = (value * config.affiliateFee) / 10000;
                _affiliateBalance[affiliate][tokenAddress] += affiliateWad;
                emit Referral(affiliate, tokenAddress, affiliateWad, quantity);
              }
              uint128 superAffiliateWad;
              if (config.superAffiliatePayout != address(0)) {
                superAffiliateWad = ((value * config.platformFee) / 2) / 10000;
                _affiliateBalance[config.superAffiliatePayout][tokenAddress] += superAffiliateWad;
              }
              OwnerBalance memory balance = _ownerBalance[tokenAddress];
              uint128 platformWad = ((value * config.platformFee) / 10000) - superAffiliateWad;
              uint128 ownerWad = value - affiliateWad - platformWad - superAffiliateWad;
              _ownerBalance[tokenAddress] = OwnerBalance({
                owner: balance.owner + ownerWad,
                platform: balance.platform + platformWad
              });
              if (tokenAddress != address(0)) {
                IERC20Upgradeable erc20Token = IERC20Upgradeable(tokenAddress);
                erc20Token.transferFrom(_msgSender(), address(this), value);
              }
            }
            function withdrawTokens(
              Config storage config,
              mapping(address => OwnerBalance) storage _ownerBalance,
              mapping(address => mapping(address => uint128)) storage _affiliateBalance,
              address owner,
              address[] calldata tokens
            ) public {
              address msgSender = _msgSender();
              for (uint256 i; i < tokens.length; ) {
                address tokenAddress = tokens[i];
                uint128 wad;
                if (msgSender == owner || msgSender == config.ownerAltPayout || msgSender == PLATFORM) {
                  OwnerBalance storage balance = _ownerBalance[tokenAddress];
                  if (msgSender == owner || msgSender == config.ownerAltPayout) {
                    wad = balance.owner;
                    balance.owner = 0;
                  } else {
                    wad = balance.platform;
                    balance.platform = 0;
                  }
                } else {
                  wad = _affiliateBalance[msgSender][tokenAddress];
                  _affiliateBalance[msgSender][tokenAddress] = 0;
                }
                if (wad == 0) {
                  revert BalanceEmpty();
                }
                if (tokenAddress == address(0)) {
                  bool success = false;
                  // send to ownerAltPayout if set and owner is withdrawing
                  if (msgSender == owner && config.ownerAltPayout != address(0)) {
                    (success, ) = payable(config.ownerAltPayout).call{ value: wad }("");
                  } else {
                    (success, ) = msgSender.call{ value: wad }("");
                  }
                  if (!success) {
                    revert TransferFailed();
                  }
                } else {
                  IERC20Upgradeable erc20Token = IERC20Upgradeable(tokenAddress);
                  if (msgSender == owner && config.ownerAltPayout != address(0)) {
                    erc20Token.transfer(config.ownerAltPayout, wad);
                  } else {
                    erc20Token.transfer(msgSender, wad);
                  }
                }
                emit Withdrawal(msgSender, tokenAddress, wad);
                unchecked {
                  ++i;
                }
              }
            }
            function validateAffiliate(
              address affiliate,
              bytes calldata signature,
              address affiliateSigner
            ) public view {
              bytes32 signedMessagehash = ECDSA.toEthSignedMessageHash(
                keccak256(abi.encodePacked(affiliate))
              );
              address signer = ECDSA.recover(signedMessagehash, signature);
              if (signer != affiliateSigner) {
                revert InvalidSignature();
              }
            }
            function verify(
              Auth calldata auth,
              address tokenAddress,
              address account
            ) public pure returns (bool) {
              // keys 0-255 and tokenAddress are public
              if (uint256(auth.key) <= 0xff || auth.key == keccak256(abi.encodePacked(tokenAddress))) {
                return true;
              }
              return MerkleProofLib.verify(auth.proof, auth.key, keccak256(abi.encodePacked(account)));
            }
            function _msgSender() internal view returns (address) {
              return msg.sender == BATCH ? tx.origin : msg.sender;
            }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (access/Ownable.sol)
          import 'erc721a-upgradeable/contracts/ERC721A__Initializable.sol';
          import 'erc721a-upgradeable/contracts/ERC721AUpgradeable.sol';
          pragma solidity ^0.8.4;
          /**
           * @dev Contract module which provides a basic access control mechanism, where
           * there is an account (an owner) that can be granted exclusive access to
           * specific functions.
           *
           * By default, the owner account will be the one that deploys the contract. This
           * can later be changed with {transferOwnership}.
           *
           * This module is used through inheritance. It will make available the modifier
           * `onlyOwner`, which can be applied to your functions to restrict their use to
           * the owner.
           */
          abstract contract ERC721A__OwnableUpgradeable is ERC721A__Initializable, ERC721AUpgradeable {
              address private _owner;
              event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
              /**
               * @dev Initializes the contract setting the deployer as the initial owner.
               */
              function __Ownable_init() internal onlyInitializingERC721A {
                  __Ownable_init_unchained();
              }
              function __Ownable_init_unchained() internal onlyInitializingERC721A {
                  _transferOwnership(_msgSenderERC721A());
              }
              /**
               * @dev Returns the address of the current owner.
               */
              function owner() public view virtual returns (address) {
                  return _owner;
              }
              /**
               * @dev Throws if called by any account other than the owner.
               */
              modifier onlyOwner() {
                  _isOwner();
                  _;
              }
              function _isOwner() internal view {
                  require(owner() == _msgSenderERC721A(), "Ownable: caller is not the owner");
              }
              /**
               * @dev Leaves the contract without owner. It will not be possible to call
               * `onlyOwner` functions anymore. Can only be called by the current owner.
               *
               * NOTE: Renouncing ownership will leave the contract without an owner,
               * thereby removing any functionality that is only available to the owner.
               */
              function renounceOwnership() public virtual onlyOwner {
                  _transferOwnership(address(0));
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Can only be called by the current owner.
               */
              function transferOwnership(address newOwner) public virtual onlyOwner {
                  require(newOwner != address(0), "Ownable: new owner is the zero address");
                  _transferOwnership(newOwner);
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Internal function without access restriction.
               */
              function _transferOwnership(address newOwner) internal virtual {
                  address oldOwner = _owner;
                  _owner = newOwner;
                  emit OwnershipTransferred(oldOwner, newOwner);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          /**
           * @dev This is a base contract to aid in writing upgradeable diamond facet contracts, or any kind of contract that will be deployed
           * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
           * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
           * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
           *
           * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
           * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
           *
           * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
           * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
           */
          import {ERC721A__InitializableStorage} from './ERC721A__InitializableStorage.sol';
          abstract contract ERC721A__Initializable {
              using ERC721A__InitializableStorage for ERC721A__InitializableStorage.Layout;
              /**
               * @dev Modifier to protect an initializer function from being invoked twice.
               */
              modifier initializerERC721A() {
                  // If the contract is initializing we ignore whether _initialized is set in order to support multiple
                  // inheritance patterns, but we only do this in the context of a constructor, because in other contexts the
                  // contract may have been reentered.
                  require(
                      ERC721A__InitializableStorage.layout()._initializing
                          ? _isConstructor()
                          : !ERC721A__InitializableStorage.layout()._initialized,
                      'ERC721A__Initializable: contract is already initialized'
                  );
                  bool isTopLevelCall = !ERC721A__InitializableStorage.layout()._initializing;
                  if (isTopLevelCall) {
                      ERC721A__InitializableStorage.layout()._initializing = true;
                      ERC721A__InitializableStorage.layout()._initialized = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      ERC721A__InitializableStorage.layout()._initializing = false;
                  }
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} modifier, directly or indirectly.
               */
              modifier onlyInitializingERC721A() {
                  require(
                      ERC721A__InitializableStorage.layout()._initializing,
                      'ERC721A__Initializable: contract is not initializing'
                  );
                  _;
              }
              /// @dev Returns true if and only if the function is running in the constructor
              function _isConstructor() private view returns (bool) {
                  // extcodesize checks the size of the code stored in an address, and
                  // address returns the current address. Since the code is still not
                  // deployed when running a constructor, any checks on its code size will
                  // yield zero, making it an effective way to detect if a contract is
                  // under construction or not.
                  address self = address(this);
                  uint256 cs;
                  assembly {
                      cs := extcodesize(self)
                  }
                  return cs == 0;
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          /**
           * @dev This is a base storage for the  initialization function for upgradeable diamond facet contracts
           **/
          library ERC721A__InitializableStorage {
              struct Layout {
                  /*
                   * Indicates that the contract has been initialized.
                   */
                  bool _initialized;
                  /*
                   * Indicates that the contract is in the process of being initialized.
                   */
                  bool _initializing;
              }
              bytes32 internal constant STORAGE_SLOT = keccak256('ERC721A.contracts.storage.initializable.facet');
              function layout() internal pure returns (Layout storage l) {
                  bytes32 slot = STORAGE_SLOT;
                  assembly {
                      l.slot := slot
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          library ERC721AStorage {
              // Bypass for a `--via-ir` bug (https://github.com/chiru-labs/ERC721A/pull/364).
              struct TokenApprovalRef {
                  address value;
              }
              struct Layout {
                  // =============================================================
                  //                            STORAGE
                  // =============================================================
                  // The next token ID to be minted.
                  uint256 _currentIndex;
                  // The number of tokens burned.
                  uint256 _burnCounter;
                  // Token name
                  string _name;
                  // Token symbol
                  string _symbol;
                  // Mapping from token ID to ownership details
                  // An empty struct value does not necessarily mean the token is unowned.
                  // See {_packedOwnershipOf} implementation for details.
                  //
                  // Bits Layout:
                  // - [0..159]   `addr`
                  // - [160..223] `startTimestamp`
                  // - [224]      `burned`
                  // - [225]      `nextInitialized`
                  // - [232..255] `extraData`
                  mapping(uint256 => uint256) _packedOwnerships;
                  // Mapping owner address to address data.
                  //
                  // Bits Layout:
                  // - [0..63]    `balance`
                  // - [64..127]  `numberMinted`
                  // - [128..191] `numberBurned`
                  // - [192..255] `aux`
                  mapping(address => uint256) _packedAddressData;
                  // Mapping from token ID to approved address.
                  mapping(uint256 => ERC721AStorage.TokenApprovalRef) _tokenApprovals;
                  // Mapping from owner to operator approvals
                  mapping(address => mapping(address => bool)) _operatorApprovals;
              }
              bytes32 internal constant STORAGE_SLOT = keccak256('ERC721A.contracts.storage.ERC721A');
              function layout() internal pure returns (Layout storage l) {
                  bytes32 slot = STORAGE_SLOT;
                  assembly {
                      l.slot := slot
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import './IERC721AUpgradeable.sol';
          import {ERC721AStorage} from './ERC721AStorage.sol';
          import './ERC721A__Initializable.sol';
          /**
           * @dev Interface of ERC721 token receiver.
           */
          interface ERC721A__IERC721ReceiverUpgradeable {
              function onERC721Received(
                  address operator,
                  address from,
                  uint256 tokenId,
                  bytes calldata data
              ) external returns (bytes4);
          }
          /**
           * @title ERC721A
           *
           * @dev Implementation of the [ERC721](https://eips.ethereum.org/EIPS/eip-721)
           * Non-Fungible Token Standard, including the Metadata extension.
           * Optimized for lower gas during batch mints.
           *
           * Token IDs are minted in sequential order (e.g. 0, 1, 2, 3, ...)
           * starting from `_startTokenId()`.
           *
           * Assumptions:
           *
           * - An owner cannot have more than 2**64 - 1 (max value of uint64) of supply.
           * - The maximum token ID cannot exceed 2**256 - 1 (max value of uint256).
           */
          contract ERC721AUpgradeable is ERC721A__Initializable, IERC721AUpgradeable {
              using ERC721AStorage for ERC721AStorage.Layout;
              // =============================================================
              //                           CONSTANTS
              // =============================================================
              // Mask of an entry in packed address data.
              uint256 private constant _BITMASK_ADDRESS_DATA_ENTRY = (1 << 64) - 1;
              // The bit position of `numberMinted` in packed address data.
              uint256 private constant _BITPOS_NUMBER_MINTED = 64;
              // The bit position of `numberBurned` in packed address data.
              uint256 private constant _BITPOS_NUMBER_BURNED = 128;
              // The bit position of `aux` in packed address data.
              uint256 private constant _BITPOS_AUX = 192;
              // Mask of all 256 bits in packed address data except the 64 bits for `aux`.
              uint256 private constant _BITMASK_AUX_COMPLEMENT = (1 << 192) - 1;
              // The bit position of `startTimestamp` in packed ownership.
              uint256 private constant _BITPOS_START_TIMESTAMP = 160;
              // The bit mask of the `burned` bit in packed ownership.
              uint256 private constant _BITMASK_BURNED = 1 << 224;
              // The bit position of the `nextInitialized` bit in packed ownership.
              uint256 private constant _BITPOS_NEXT_INITIALIZED = 225;
              // The bit mask of the `nextInitialized` bit in packed ownership.
              uint256 private constant _BITMASK_NEXT_INITIALIZED = 1 << 225;
              // The bit position of `extraData` in packed ownership.
              uint256 private constant _BITPOS_EXTRA_DATA = 232;
              // Mask of all 256 bits in a packed ownership except the 24 bits for `extraData`.
              uint256 private constant _BITMASK_EXTRA_DATA_COMPLEMENT = (1 << 232) - 1;
              // The mask of the lower 160 bits for addresses.
              uint256 private constant _BITMASK_ADDRESS = (1 << 160) - 1;
              // The maximum `quantity` that can be minted with {_mintERC2309}.
              // This limit is to prevent overflows on the address data entries.
              // For a limit of 5000, a total of 3.689e15 calls to {_mintERC2309}
              // is required to cause an overflow, which is unrealistic.
              uint256 private constant _MAX_MINT_ERC2309_QUANTITY_LIMIT = 5000;
              // The `Transfer` event signature is given by:
              // `keccak256(bytes("Transfer(address,address,uint256)"))`.
              bytes32 private constant _TRANSFER_EVENT_SIGNATURE =
                  0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef;
              // =============================================================
              //                          CONSTRUCTOR
              // =============================================================
              function __ERC721A_init(string memory name_, string memory symbol_) internal onlyInitializingERC721A {
                  __ERC721A_init_unchained(name_, symbol_);
              }
              function __ERC721A_init_unchained(string memory name_, string memory symbol_) internal onlyInitializingERC721A {
                  ERC721AStorage.layout()._name = name_;
                  ERC721AStorage.layout()._symbol = symbol_;
                  ERC721AStorage.layout()._currentIndex = _startTokenId();
              }
              // =============================================================
              //                   TOKEN COUNTING OPERATIONS
              // =============================================================
              /**
               * @dev Returns the starting token ID.
               * To change the starting token ID, please override this function.
               */
              function _startTokenId() internal view virtual returns (uint256) {
                  return 0;
              }
              /**
               * @dev Returns the next token ID to be minted.
               */
              function _nextTokenId() internal view virtual returns (uint256) {
                  return ERC721AStorage.layout()._currentIndex;
              }
              /**
               * @dev Returns the total number of tokens in existence.
               * Burned tokens will reduce the count.
               * To get the total number of tokens minted, please see {_totalMinted}.
               */
              function totalSupply() public view virtual override returns (uint256) {
                  // Counter underflow is impossible as _burnCounter cannot be incremented
                  // more than `_currentIndex - _startTokenId()` times.
                  unchecked {
                      return ERC721AStorage.layout()._currentIndex - ERC721AStorage.layout()._burnCounter - _startTokenId();
                  }
              }
              /**
               * @dev Returns the total amount of tokens minted in the contract.
               */
              function _totalMinted() internal view virtual returns (uint256) {
                  // Counter underflow is impossible as `_currentIndex` does not decrement,
                  // and it is initialized to `_startTokenId()`.
                  unchecked {
                      return ERC721AStorage.layout()._currentIndex - _startTokenId();
                  }
              }
              /**
               * @dev Returns the total number of tokens burned.
               */
              function _totalBurned() internal view virtual returns (uint256) {
                  return ERC721AStorage.layout()._burnCounter;
              }
              // =============================================================
              //                    ADDRESS DATA OPERATIONS
              // =============================================================
              /**
               * @dev Returns the number of tokens in `owner`'s account.
               */
              function balanceOf(address owner) public view virtual override returns (uint256) {
                  if (owner == address(0)) revert BalanceQueryForZeroAddress();
                  return ERC721AStorage.layout()._packedAddressData[owner] & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the number of tokens minted by `owner`.
               */
              function _numberMinted(address owner) internal view returns (uint256) {
                  return
                      (ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_NUMBER_MINTED) & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the number of tokens burned by or on behalf of `owner`.
               */
              function _numberBurned(address owner) internal view returns (uint256) {
                  return
                      (ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_NUMBER_BURNED) & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
               */
              function _getAux(address owner) internal view returns (uint64) {
                  return uint64(ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_AUX);
              }
              /**
               * Sets the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
               * If there are multiple variables, please pack them into a uint64.
               */
              function _setAux(address owner, uint64 aux) internal virtual {
                  uint256 packed = ERC721AStorage.layout()._packedAddressData[owner];
                  uint256 auxCasted;
                  // Cast `aux` with assembly to avoid redundant masking.
                  assembly {
                      auxCasted := aux
                  }
                  packed = (packed & _BITMASK_AUX_COMPLEMENT) | (auxCasted << _BITPOS_AUX);
                  ERC721AStorage.layout()._packedAddressData[owner] = packed;
              }
              // =============================================================
              //                            IERC165
              // =============================================================
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30000 gas.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                  // The interface IDs are constants representing the first 4 bytes
                  // of the XOR of all function selectors in the interface.
                  // See: [ERC165](https://eips.ethereum.org/EIPS/eip-165)
                  // (e.g. `bytes4(i.functionA.selector ^ i.functionB.selector ^ ...)`)
                  return
                      interfaceId == 0x01ffc9a7 || // ERC165 interface ID for ERC165.
                      interfaceId == 0x80ac58cd || // ERC165 interface ID for ERC721.
                      interfaceId == 0x5b5e139f; // ERC165 interface ID for ERC721Metadata.
              }
              // =============================================================
              //                        IERC721Metadata
              // =============================================================
              /**
               * @dev Returns the token collection name.
               */
              function name() public view virtual override returns (string memory) {
                  return ERC721AStorage.layout()._name;
              }
              /**
               * @dev Returns the token collection symbol.
               */
              function symbol() public view virtual override returns (string memory) {
                  return ERC721AStorage.layout()._symbol;
              }
              /**
               * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
               */
              function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
                  if (!_exists(tokenId)) revert URIQueryForNonexistentToken();
                  string memory baseURI = _baseURI();
                  return bytes(baseURI).length != 0 ? string(abi.encodePacked(baseURI, _toString(tokenId))) : '';
              }
              /**
               * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
               * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
               * by default, it can be overridden in child contracts.
               */
              function _baseURI() internal view virtual returns (string memory) {
                  return '';
              }
              // =============================================================
              //                     OWNERSHIPS OPERATIONS
              // =============================================================
              /**
               * @dev Returns the owner of the `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function ownerOf(uint256 tokenId) public view virtual override returns (address) {
                  return address(uint160(_packedOwnershipOf(tokenId)));
              }
              /**
               * @dev Gas spent here starts off proportional to the maximum mint batch size.
               * It gradually moves to O(1) as tokens get transferred around over time.
               */
              function _ownershipOf(uint256 tokenId) internal view virtual returns (TokenOwnership memory) {
                  return _unpackedOwnership(_packedOwnershipOf(tokenId));
              }
              /**
               * @dev Returns the unpacked `TokenOwnership` struct at `index`.
               */
              function _ownershipAt(uint256 index) internal view virtual returns (TokenOwnership memory) {
                  return _unpackedOwnership(ERC721AStorage.layout()._packedOwnerships[index]);
              }
              /**
               * @dev Initializes the ownership slot minted at `index` for efficiency purposes.
               */
              function _initializeOwnershipAt(uint256 index) internal virtual {
                  if (ERC721AStorage.layout()._packedOwnerships[index] == 0) {
                      ERC721AStorage.layout()._packedOwnerships[index] = _packedOwnershipOf(index);
                  }
              }
              /**
               * Returns the packed ownership data of `tokenId`.
               */
              function _packedOwnershipOf(uint256 tokenId) private view returns (uint256 packed) {
                  if (_startTokenId() <= tokenId) {
                      packed = ERC721AStorage.layout()._packedOwnerships[tokenId];
                      // If not burned.
                      if (packed & _BITMASK_BURNED == 0) {
                          // If the data at the starting slot does not exist, start the scan.
                          if (packed == 0) {
                              if (tokenId >= ERC721AStorage.layout()._currentIndex) revert OwnerQueryForNonexistentToken();
                              // Invariant:
                              // There will always be an initialized ownership slot
                              // (i.e. `ownership.addr != address(0) && ownership.burned == false`)
                              // before an unintialized ownership slot
                              // (i.e. `ownership.addr == address(0) && ownership.burned == false`)
                              // Hence, `tokenId` will not underflow.
                              //
                              // We can directly compare the packed value.
                              // If the address is zero, packed will be zero.
                              for (;;) {
                                  unchecked {
                                      packed = ERC721AStorage.layout()._packedOwnerships[--tokenId];
                                  }
                                  if (packed == 0) continue;
                                  return packed;
                              }
                          }
                          // Otherwise, the data exists and is not burned. We can skip the scan.
                          // This is possible because we have already achieved the target condition.
                          // This saves 2143 gas on transfers of initialized tokens.
                          return packed;
                      }
                  }
                  revert OwnerQueryForNonexistentToken();
              }
              /**
               * @dev Returns the unpacked `TokenOwnership` struct from `packed`.
               */
              function _unpackedOwnership(uint256 packed) private pure returns (TokenOwnership memory ownership) {
                  ownership.addr = address(uint160(packed));
                  ownership.startTimestamp = uint64(packed >> _BITPOS_START_TIMESTAMP);
                  ownership.burned = packed & _BITMASK_BURNED != 0;
                  ownership.extraData = uint24(packed >> _BITPOS_EXTRA_DATA);
              }
              /**
               * @dev Packs ownership data into a single uint256.
               */
              function _packOwnershipData(address owner, uint256 flags) private view returns (uint256 result) {
                  assembly {
                      // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      owner := and(owner, _BITMASK_ADDRESS)
                      // `owner | (block.timestamp << _BITPOS_START_TIMESTAMP) | flags`.
                      result := or(owner, or(shl(_BITPOS_START_TIMESTAMP, timestamp()), flags))
                  }
              }
              /**
               * @dev Returns the `nextInitialized` flag set if `quantity` equals 1.
               */
              function _nextInitializedFlag(uint256 quantity) private pure returns (uint256 result) {
                  // For branchless setting of the `nextInitialized` flag.
                  assembly {
                      // `(quantity == 1) << _BITPOS_NEXT_INITIALIZED`.
                      result := shl(_BITPOS_NEXT_INITIALIZED, eq(quantity, 1))
                  }
              }
              // =============================================================
              //                      APPROVAL OPERATIONS
              // =============================================================
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account. See {ERC721A-_approve}.
               *
               * Requirements:
               *
               * - The caller must own the token or be an approved operator.
               */
              function approve(address to, uint256 tokenId) public payable virtual override {
                  _approve(to, tokenId, true);
              }
              /**
               * @dev Returns the account approved for `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function getApproved(uint256 tokenId) public view virtual override returns (address) {
                  if (!_exists(tokenId)) revert ApprovalQueryForNonexistentToken();
                  return ERC721AStorage.layout()._tokenApprovals[tokenId].value;
              }
              /**
               * @dev Approve or remove `operator` as an operator for the caller.
               * Operators can call {transferFrom} or {safeTransferFrom}
               * for any token owned by the caller.
               *
               * Requirements:
               *
               * - The `operator` cannot be the caller.
               *
               * Emits an {ApprovalForAll} event.
               */
              function setApprovalForAll(address operator, bool approved) public virtual override {
                  ERC721AStorage.layout()._operatorApprovals[_msgSenderERC721A()][operator] = approved;
                  emit ApprovalForAll(_msgSenderERC721A(), operator, approved);
              }
              /**
               * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
               *
               * See {setApprovalForAll}.
               */
              function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
                  return ERC721AStorage.layout()._operatorApprovals[owner][operator];
              }
              /**
               * @dev Returns whether `tokenId` exists.
               *
               * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
               *
               * Tokens start existing when they are minted. See {_mint}.
               */
              function _exists(uint256 tokenId) internal view virtual returns (bool) {
                  return
                      _startTokenId() <= tokenId &&
                      tokenId < ERC721AStorage.layout()._currentIndex && // If within bounds,
                      ERC721AStorage.layout()._packedOwnerships[tokenId] & _BITMASK_BURNED == 0; // and not burned.
              }
              /**
               * @dev Returns whether `msgSender` is equal to `approvedAddress` or `owner`.
               */
              function _isSenderApprovedOrOwner(
                  address approvedAddress,
                  address owner,
                  address msgSender
              ) private pure returns (bool result) {
                  assembly {
                      // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      owner := and(owner, _BITMASK_ADDRESS)
                      // Mask `msgSender` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      msgSender := and(msgSender, _BITMASK_ADDRESS)
                      // `msgSender == owner || msgSender == approvedAddress`.
                      result := or(eq(msgSender, owner), eq(msgSender, approvedAddress))
                  }
              }
              /**
               * @dev Returns the storage slot and value for the approved address of `tokenId`.
               */
              function _getApprovedSlotAndAddress(uint256 tokenId)
                  private
                  view
                  returns (uint256 approvedAddressSlot, address approvedAddress)
              {
                  ERC721AStorage.TokenApprovalRef storage tokenApproval = ERC721AStorage.layout()._tokenApprovals[tokenId];
                  // The following is equivalent to `approvedAddress = _tokenApprovals[tokenId].value`.
                  assembly {
                      approvedAddressSlot := tokenApproval.slot
                      approvedAddress := sload(approvedAddressSlot)
                  }
              }
              // =============================================================
              //                      TRANSFER OPERATIONS
              // =============================================================
              /**
               * @dev Transfers `tokenId` from `from` to `to`.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) public payable virtual override {
                  uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);
                  if (address(uint160(prevOwnershipPacked)) != from) revert TransferFromIncorrectOwner();
                  (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);
                  // The nested ifs save around 20+ gas over a compound boolean condition.
                  if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                      if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();
                  if (to == address(0)) revert TransferToZeroAddress();
                  _beforeTokenTransfers(from, to, tokenId, 1);
                  // Clear approvals from the previous owner.
                  assembly {
                      if approvedAddress {
                          // This is equivalent to `delete _tokenApprovals[tokenId]`.
                          sstore(approvedAddressSlot, 0)
                      }
                  }
                  // Underflow of the sender's balance is impossible because we check for
                  // ownership above and the recipient's balance can't realistically overflow.
                  // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
                  unchecked {
                      // We can directly increment and decrement the balances.
                      --ERC721AStorage.layout()._packedAddressData[from]; // Updates: `balance -= 1`.
                      ++ERC721AStorage.layout()._packedAddressData[to]; // Updates: `balance += 1`.
                      // Updates:
                      // - `address` to the next owner.
                      // - `startTimestamp` to the timestamp of transfering.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `true`.
                      ERC721AStorage.layout()._packedOwnerships[tokenId] = _packOwnershipData(
                          to,
                          _BITMASK_NEXT_INITIALIZED | _nextExtraData(from, to, prevOwnershipPacked)
                      );
                      // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
                      if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                          uint256 nextTokenId = tokenId + 1;
                          // If the next slot's address is zero and not burned (i.e. packed value is zero).
                          if (ERC721AStorage.layout()._packedOwnerships[nextTokenId] == 0) {
                              // If the next slot is within bounds.
                              if (nextTokenId != ERC721AStorage.layout()._currentIndex) {
                                  // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                                  ERC721AStorage.layout()._packedOwnerships[nextTokenId] = prevOwnershipPacked;
                              }
                          }
                      }
                  }
                  emit Transfer(from, to, tokenId);
                  _afterTokenTransfers(from, to, tokenId, 1);
              }
              /**
               * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) public payable virtual override {
                  safeTransferFrom(from, to, tokenId, '');
              }
              /**
               * @dev Safely transfers `tokenId` token from `from` to `to`.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must exist and be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
               *
               * Emits a {Transfer} event.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes memory _data
              ) public payable virtual override {
                  transferFrom(from, to, tokenId);
                  if (to.code.length != 0)
                      if (!_checkContractOnERC721Received(from, to, tokenId, _data)) {
                          revert TransferToNonERC721ReceiverImplementer();
                      }
              }
              /**
               * @dev Hook that is called before a set of serially-ordered token IDs
               * are about to be transferred. This includes minting.
               * And also called before burning one token.
               *
               * `startTokenId` - the first token ID to be transferred.
               * `quantity` - the amount to be transferred.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
               * transferred to `to`.
               * - When `from` is zero, `tokenId` will be minted for `to`.
               * - When `to` is zero, `tokenId` will be burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _beforeTokenTransfers(
                  address from,
                  address to,
                  uint256 startTokenId,
                  uint256 quantity
              ) internal virtual {}
              /**
               * @dev Hook that is called after a set of serially-ordered token IDs
               * have been transferred. This includes minting.
               * And also called after one token has been burned.
               *
               * `startTokenId` - the first token ID to be transferred.
               * `quantity` - the amount to be transferred.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` has been
               * transferred to `to`.
               * - When `from` is zero, `tokenId` has been minted for `to`.
               * - When `to` is zero, `tokenId` has been burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _afterTokenTransfers(
                  address from,
                  address to,
                  uint256 startTokenId,
                  uint256 quantity
              ) internal virtual {}
              /**
               * @dev Private function to invoke {IERC721Receiver-onERC721Received} on a target contract.
               *
               * `from` - Previous owner of the given token ID.
               * `to` - Target address that will receive the token.
               * `tokenId` - Token ID to be transferred.
               * `_data` - Optional data to send along with the call.
               *
               * Returns whether the call correctly returned the expected magic value.
               */
              function _checkContractOnERC721Received(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes memory _data
              ) private returns (bool) {
                  try
                      ERC721A__IERC721ReceiverUpgradeable(to).onERC721Received(_msgSenderERC721A(), from, tokenId, _data)
                  returns (bytes4 retval) {
                      return retval == ERC721A__IERC721ReceiverUpgradeable(to).onERC721Received.selector;
                  } catch (bytes memory reason) {
                      if (reason.length == 0) {
                          revert TransferToNonERC721ReceiverImplementer();
                      } else {
                          assembly {
                              revert(add(32, reason), mload(reason))
                          }
                      }
                  }
              }
              // =============================================================
              //                        MINT OPERATIONS
              // =============================================================
              /**
               * @dev Mints `quantity` tokens and transfers them to `to`.
               *
               * Requirements:
               *
               * - `to` cannot be the zero address.
               * - `quantity` must be greater than 0.
               *
               * Emits a {Transfer} event for each mint.
               */
              function _mint(address to, uint256 quantity) internal virtual {
                  uint256 startTokenId = ERC721AStorage.layout()._currentIndex;
                  if (quantity == 0) revert MintZeroQuantity();
                  _beforeTokenTransfers(address(0), to, startTokenId, quantity);
                  // Overflows are incredibly unrealistic.
                  // `balance` and `numberMinted` have a maximum limit of 2**64.
                  // `tokenId` has a maximum limit of 2**256.
                  unchecked {
                      // Updates:
                      // - `balance += quantity`.
                      // - `numberMinted += quantity`.
                      //
                      // We can directly add to the `balance` and `numberMinted`.
                      ERC721AStorage.layout()._packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);
                      // Updates:
                      // - `address` to the owner.
                      // - `startTimestamp` to the timestamp of minting.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `quantity == 1`.
                      ERC721AStorage.layout()._packedOwnerships[startTokenId] = _packOwnershipData(
                          to,
                          _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
                      );
                      uint256 toMasked;
                      uint256 end = startTokenId + quantity;
                      // Use assembly to loop and emit the `Transfer` event for gas savings.
                      // The duplicated `log4` removes an extra check and reduces stack juggling.
                      // The assembly, together with the surrounding Solidity code, have been
                      // delicately arranged to nudge the compiler into producing optimized opcodes.
                      assembly {
                          // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
                          toMasked := and(to, _BITMASK_ADDRESS)
                          // Emit the `Transfer` event.
                          log4(
                              0, // Start of data (0, since no data).
                              0, // End of data (0, since no data).
                              _TRANSFER_EVENT_SIGNATURE, // Signature.
                              0, // `address(0)`.
                              toMasked, // `to`.
                              startTokenId // `tokenId`.
                          )
                          // The `iszero(eq(,))` check ensures that large values of `quantity`
                          // that overflows uint256 will make the loop run out of gas.
                          // The compiler will optimize the `iszero` away for performance.
                          for {
                              let tokenId := add(startTokenId, 1)
                          } iszero(eq(tokenId, end)) {
                              tokenId := add(tokenId, 1)
                          } {
                              // Emit the `Transfer` event. Similar to above.
                              log4(0, 0, _TRANSFER_EVENT_SIGNATURE, 0, toMasked, tokenId)
                          }
                      }
                      if (toMasked == 0) revert MintToZeroAddress();
                      ERC721AStorage.layout()._currentIndex = end;
                  }
                  _afterTokenTransfers(address(0), to, startTokenId, quantity);
              }
              /**
               * @dev Mints `quantity` tokens and transfers them to `to`.
               *
               * This function is intended for efficient minting only during contract creation.
               *
               * It emits only one {ConsecutiveTransfer} as defined in
               * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309),
               * instead of a sequence of {Transfer} event(s).
               *
               * Calling this function outside of contract creation WILL make your contract
               * non-compliant with the ERC721 standard.
               * For full ERC721 compliance, substituting ERC721 {Transfer} event(s) with the ERC2309
               * {ConsecutiveTransfer} event is only permissible during contract creation.
               *
               * Requirements:
               *
               * - `to` cannot be the zero address.
               * - `quantity` must be greater than 0.
               *
               * Emits a {ConsecutiveTransfer} event.
               */
              function _mintERC2309(address to, uint256 quantity) internal virtual {
                  uint256 startTokenId = ERC721AStorage.layout()._currentIndex;
                  if (to == address(0)) revert MintToZeroAddress();
                  if (quantity == 0) revert MintZeroQuantity();
                  if (quantity > _MAX_MINT_ERC2309_QUANTITY_LIMIT) revert MintERC2309QuantityExceedsLimit();
                  _beforeTokenTransfers(address(0), to, startTokenId, quantity);
                  // Overflows are unrealistic due to the above check for `quantity` to be below the limit.
                  unchecked {
                      // Updates:
                      // - `balance += quantity`.
                      // - `numberMinted += quantity`.
                      //
                      // We can directly add to the `balance` and `numberMinted`.
                      ERC721AStorage.layout()._packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);
                      // Updates:
                      // - `address` to the owner.
                      // - `startTimestamp` to the timestamp of minting.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `quantity == 1`.
                      ERC721AStorage.layout()._packedOwnerships[startTokenId] = _packOwnershipData(
                          to,
                          _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
                      );
                      emit ConsecutiveTransfer(startTokenId, startTokenId + quantity - 1, address(0), to);
                      ERC721AStorage.layout()._currentIndex = startTokenId + quantity;
                  }
                  _afterTokenTransfers(address(0), to, startTokenId, quantity);
              }
              /**
               * @dev Safely mints `quantity` tokens and transfers them to `to`.
               *
               * Requirements:
               *
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called for each safe transfer.
               * - `quantity` must be greater than 0.
               *
               * See {_mint}.
               *
               * Emits a {Transfer} event for each mint.
               */
              function _safeMint(
                  address to,
                  uint256 quantity,
                  bytes memory _data
              ) internal virtual {
                  _mint(to, quantity);
                  unchecked {
                      if (to.code.length != 0) {
                          uint256 end = ERC721AStorage.layout()._currentIndex;
                          uint256 index = end - quantity;
                          do {
                              if (!_checkContractOnERC721Received(address(0), to, index++, _data)) {
                                  revert TransferToNonERC721ReceiverImplementer();
                              }
                          } while (index < end);
                          // Reentrancy protection.
                          if (ERC721AStorage.layout()._currentIndex != end) revert();
                      }
                  }
              }
              /**
               * @dev Equivalent to `_safeMint(to, quantity, '')`.
               */
              function _safeMint(address to, uint256 quantity) internal virtual {
                  _safeMint(to, quantity, '');
              }
              // =============================================================
              //                       APPROVAL OPERATIONS
              // =============================================================
              /**
               * @dev Equivalent to `_approve(to, tokenId, false)`.
               */
              function _approve(address to, uint256 tokenId) internal virtual {
                  _approve(to, tokenId, false);
              }
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account.
               * The approval is cleared when the token is transferred.
               *
               * Only a single account can be approved at a time, so approving the
               * zero address clears previous approvals.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               *
               * Emits an {Approval} event.
               */
              function _approve(
                  address to,
                  uint256 tokenId,
                  bool approvalCheck
              ) internal virtual {
                  address owner = ownerOf(tokenId);
                  if (approvalCheck)
                      if (_msgSenderERC721A() != owner)
                          if (!isApprovedForAll(owner, _msgSenderERC721A())) {
                              revert ApprovalCallerNotOwnerNorApproved();
                          }
                  ERC721AStorage.layout()._tokenApprovals[tokenId].value = to;
                  emit Approval(owner, to, tokenId);
              }
              // =============================================================
              //                        BURN OPERATIONS
              // =============================================================
              /**
               * @dev Equivalent to `_burn(tokenId, false)`.
               */
              function _burn(uint256 tokenId) internal virtual {
                  _burn(tokenId, false);
              }
              /**
               * @dev Destroys `tokenId`.
               * The approval is cleared when the token is burned.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               *
               * Emits a {Transfer} event.
               */
              function _burn(uint256 tokenId, bool approvalCheck) internal virtual {
                  uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);
                  address from = address(uint160(prevOwnershipPacked));
                  (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);
                  if (approvalCheck) {
                      // The nested ifs save around 20+ gas over a compound boolean condition.
                      if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                          if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();
                  }
                  _beforeTokenTransfers(from, address(0), tokenId, 1);
                  // Clear approvals from the previous owner.
                  assembly {
                      if approvedAddress {
                          // This is equivalent to `delete _tokenApprovals[tokenId]`.
                          sstore(approvedAddressSlot, 0)
                      }
                  }
                  // Underflow of the sender's balance is impossible because we check for
                  // ownership above and the recipient's balance can't realistically overflow.
                  // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
                  unchecked {
                      // Updates:
                      // - `balance -= 1`.
                      // - `numberBurned += 1`.
                      //
                      // We can directly decrement the balance, and increment the number burned.
                      // This is equivalent to `packed -= 1; packed += 1 << _BITPOS_NUMBER_BURNED;`.
                      ERC721AStorage.layout()._packedAddressData[from] += (1 << _BITPOS_NUMBER_BURNED) - 1;
                      // Updates:
                      // - `address` to the last owner.
                      // - `startTimestamp` to the timestamp of burning.
                      // - `burned` to `true`.
                      // - `nextInitialized` to `true`.
                      ERC721AStorage.layout()._packedOwnerships[tokenId] = _packOwnershipData(
                          from,
                          (_BITMASK_BURNED | _BITMASK_NEXT_INITIALIZED) | _nextExtraData(from, address(0), prevOwnershipPacked)
                      );
                      // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
                      if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                          uint256 nextTokenId = tokenId + 1;
                          // If the next slot's address is zero and not burned (i.e. packed value is zero).
                          if (ERC721AStorage.layout()._packedOwnerships[nextTokenId] == 0) {
                              // If the next slot is within bounds.
                              if (nextTokenId != ERC721AStorage.layout()._currentIndex) {
                                  // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                                  ERC721AStorage.layout()._packedOwnerships[nextTokenId] = prevOwnershipPacked;
                              }
                          }
                      }
                  }
                  emit Transfer(from, address(0), tokenId);
                  _afterTokenTransfers(from, address(0), tokenId, 1);
                  // Overflow not possible, as _burnCounter cannot be exceed _currentIndex times.
                  unchecked {
                      ERC721AStorage.layout()._burnCounter++;
                  }
              }
              // =============================================================
              //                     EXTRA DATA OPERATIONS
              // =============================================================
              /**
               * @dev Directly sets the extra data for the ownership data `index`.
               */
              function _setExtraDataAt(uint256 index, uint24 extraData) internal virtual {
                  uint256 packed = ERC721AStorage.layout()._packedOwnerships[index];
                  if (packed == 0) revert OwnershipNotInitializedForExtraData();
                  uint256 extraDataCasted;
                  // Cast `extraData` with assembly to avoid redundant masking.
                  assembly {
                      extraDataCasted := extraData
                  }
                  packed = (packed & _BITMASK_EXTRA_DATA_COMPLEMENT) | (extraDataCasted << _BITPOS_EXTRA_DATA);
                  ERC721AStorage.layout()._packedOwnerships[index] = packed;
              }
              /**
               * @dev Called during each token transfer to set the 24bit `extraData` field.
               * Intended to be overridden by the cosumer contract.
               *
               * `previousExtraData` - the value of `extraData` before transfer.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
               * transferred to `to`.
               * - When `from` is zero, `tokenId` will be minted for `to`.
               * - When `to` is zero, `tokenId` will be burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _extraData(
                  address from,
                  address to,
                  uint24 previousExtraData
              ) internal view virtual returns (uint24) {}
              /**
               * @dev Returns the next extra data for the packed ownership data.
               * The returned result is shifted into position.
               */
              function _nextExtraData(
                  address from,
                  address to,
                  uint256 prevOwnershipPacked
              ) private view returns (uint256) {
                  uint24 extraData = uint24(prevOwnershipPacked >> _BITPOS_EXTRA_DATA);
                  return uint256(_extraData(from, to, extraData)) << _BITPOS_EXTRA_DATA;
              }
              // =============================================================
              //                       OTHER OPERATIONS
              // =============================================================
              /**
               * @dev Returns the message sender (defaults to `msg.sender`).
               *
               * If you are writing GSN compatible contracts, you need to override this function.
               */
              function _msgSenderERC721A() internal view virtual returns (address) {
                  return msg.sender;
              }
              /**
               * @dev Converts a uint256 to its ASCII string decimal representation.
               */
              function _toString(uint256 value) internal pure virtual returns (string memory str) {
                  assembly {
                      // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
                      // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
                      // We will need 1 word for the trailing zeros padding, 1 word for the length,
                      // and 3 words for a maximum of 78 digits. Total: 5 * 0x20 = 0xa0.
                      let m := add(mload(0x40), 0xa0)
                      // Update the free memory pointer to allocate.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end of the memory to calculate the length later.
                      let end := str
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 1)
                          // Write the character to the pointer.
                          // The ASCII index of the '0' character is 48.
                          mstore8(str, add(48, mod(temp, 10)))
                          // Keep dividing `temp` until zero.
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      let length := sub(end, str)
                      // Move the pointer 32 bytes leftwards to make room for the length.
                      str := sub(str, 0x20)
                      // Store the length.
                      mstore(str, length)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import './IERC721AQueryableUpgradeable.sol';
          import '../ERC721AUpgradeable.sol';
          import '../ERC721A__Initializable.sol';
          /**
           * @title ERC721AQueryable.
           *
           * @dev ERC721A subclass with convenience query functions.
           */
          abstract contract ERC721AQueryableUpgradeable is
              ERC721A__Initializable,
              ERC721AUpgradeable,
              IERC721AQueryableUpgradeable
          {
              function __ERC721AQueryable_init() internal onlyInitializingERC721A {
                  __ERC721AQueryable_init_unchained();
              }
              function __ERC721AQueryable_init_unchained() internal onlyInitializingERC721A {}
              /**
               * @dev Returns the `TokenOwnership` struct at `tokenId` without reverting.
               *
               * If the `tokenId` is out of bounds:
               *
               * - `addr = address(0)`
               * - `startTimestamp = 0`
               * - `burned = false`
               * - `extraData = 0`
               *
               * If the `tokenId` is burned:
               *
               * - `addr = <Address of owner before token was burned>`
               * - `startTimestamp = <Timestamp when token was burned>`
               * - `burned = true`
               * - `extraData = <Extra data when token was burned>`
               *
               * Otherwise:
               *
               * - `addr = <Address of owner>`
               * - `startTimestamp = <Timestamp of start of ownership>`
               * - `burned = false`
               * - `extraData = <Extra data at start of ownership>`
               */
              function explicitOwnershipOf(uint256 tokenId) public view virtual override returns (TokenOwnership memory) {
                  TokenOwnership memory ownership;
                  if (tokenId < _startTokenId() || tokenId >= _nextTokenId()) {
                      return ownership;
                  }
                  ownership = _ownershipAt(tokenId);
                  if (ownership.burned) {
                      return ownership;
                  }
                  return _ownershipOf(tokenId);
              }
              /**
               * @dev Returns an array of `TokenOwnership` structs at `tokenIds` in order.
               * See {ERC721AQueryable-explicitOwnershipOf}
               */
              function explicitOwnershipsOf(uint256[] calldata tokenIds)
                  external
                  view
                  virtual
                  override
                  returns (TokenOwnership[] memory)
              {
                  unchecked {
                      uint256 tokenIdsLength = tokenIds.length;
                      TokenOwnership[] memory ownerships = new TokenOwnership[](tokenIdsLength);
                      for (uint256 i; i != tokenIdsLength; ++i) {
                          ownerships[i] = explicitOwnershipOf(tokenIds[i]);
                      }
                      return ownerships;
                  }
              }
              /**
               * @dev Returns an array of token IDs owned by `owner`,
               * in the range [`start`, `stop`)
               * (i.e. `start <= tokenId < stop`).
               *
               * This function allows for tokens to be queried if the collection
               * grows too big for a single call of {ERC721AQueryable-tokensOfOwner}.
               *
               * Requirements:
               *
               * - `start < stop`
               */
              function tokensOfOwnerIn(
                  address owner,
                  uint256 start,
                  uint256 stop
              ) external view virtual override returns (uint256[] memory) {
                  unchecked {
                      if (start >= stop) revert InvalidQueryRange();
                      uint256 tokenIdsIdx;
                      uint256 stopLimit = _nextTokenId();
                      // Set `start = max(start, _startTokenId())`.
                      if (start < _startTokenId()) {
                          start = _startTokenId();
                      }
                      // Set `stop = min(stop, stopLimit)`.
                      if (stop > stopLimit) {
                          stop = stopLimit;
                      }
                      uint256 tokenIdsMaxLength = balanceOf(owner);
                      // Set `tokenIdsMaxLength = min(balanceOf(owner), stop - start)`,
                      // to cater for cases where `balanceOf(owner)` is too big.
                      if (start < stop) {
                          uint256 rangeLength = stop - start;
                          if (rangeLength < tokenIdsMaxLength) {
                              tokenIdsMaxLength = rangeLength;
                          }
                      } else {
                          tokenIdsMaxLength = 0;
                      }
                      uint256[] memory tokenIds = new uint256[](tokenIdsMaxLength);
                      if (tokenIdsMaxLength == 0) {
                          return tokenIds;
                      }
                      // We need to call `explicitOwnershipOf(start)`,
                      // because the slot at `start` may not be initialized.
                      TokenOwnership memory ownership = explicitOwnershipOf(start);
                      address currOwnershipAddr;
                      // If the starting slot exists (i.e. not burned), initialize `currOwnershipAddr`.
                      // `ownership.address` will not be zero, as `start` is clamped to the valid token ID range.
                      if (!ownership.burned) {
                          currOwnershipAddr = ownership.addr;
                      }
                      for (uint256 i = start; i != stop && tokenIdsIdx != tokenIdsMaxLength; ++i) {
                          ownership = _ownershipAt(i);
                          if (ownership.burned) {
                              continue;
                          }
                          if (ownership.addr != address(0)) {
                              currOwnershipAddr = ownership.addr;
                          }
                          if (currOwnershipAddr == owner) {
                              tokenIds[tokenIdsIdx++] = i;
                          }
                      }
                      // Downsize the array to fit.
                      assembly {
                          mstore(tokenIds, tokenIdsIdx)
                      }
                      return tokenIds;
                  }
              }
              /**
               * @dev Returns an array of token IDs owned by `owner`.
               *
               * This function scans the ownership mapping and is O(`totalSupply`) in complexity.
               * It is meant to be called off-chain.
               *
               * See {ERC721AQueryable-tokensOfOwnerIn} for splitting the scan into
               * multiple smaller scans if the collection is large enough to cause
               * an out-of-gas error (10K collections should be fine).
               */
              function tokensOfOwner(address owner) external view virtual override returns (uint256[] memory) {
                  unchecked {
                      uint256 tokenIdsIdx;
                      address currOwnershipAddr;
                      uint256 tokenIdsLength = balanceOf(owner);
                      uint256[] memory tokenIds = new uint256[](tokenIdsLength);
                      TokenOwnership memory ownership;
                      for (uint256 i = _startTokenId(); tokenIdsIdx != tokenIdsLength; ++i) {
                          ownership = _ownershipAt(i);
                          if (ownership.burned) {
                              continue;
                          }
                          if (ownership.addr != address(0)) {
                              currOwnershipAddr = ownership.addr;
                          }
                          if (currOwnershipAddr == owner) {
                              tokenIds[tokenIdsIdx++] = i;
                          }
                      }
                      return tokenIds;
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import '../IERC721AUpgradeable.sol';
          /**
           * @dev Interface of ERC721AQueryable.
           */
          interface IERC721AQueryableUpgradeable is IERC721AUpgradeable {
              /**
               * Invalid query range (`start` >= `stop`).
               */
              error InvalidQueryRange();
              /**
               * @dev Returns the `TokenOwnership` struct at `tokenId` without reverting.
               *
               * If the `tokenId` is out of bounds:
               *
               * - `addr = address(0)`
               * - `startTimestamp = 0`
               * - `burned = false`
               * - `extraData = 0`
               *
               * If the `tokenId` is burned:
               *
               * - `addr = <Address of owner before token was burned>`
               * - `startTimestamp = <Timestamp when token was burned>`
               * - `burned = true`
               * - `extraData = <Extra data when token was burned>`
               *
               * Otherwise:
               *
               * - `addr = <Address of owner>`
               * - `startTimestamp = <Timestamp of start of ownership>`
               * - `burned = false`
               * - `extraData = <Extra data at start of ownership>`
               */
              function explicitOwnershipOf(uint256 tokenId) external view returns (TokenOwnership memory);
              /**
               * @dev Returns an array of `TokenOwnership` structs at `tokenIds` in order.
               * See {ERC721AQueryable-explicitOwnershipOf}
               */
              function explicitOwnershipsOf(uint256[] memory tokenIds) external view returns (TokenOwnership[] memory);
              /**
               * @dev Returns an array of token IDs owned by `owner`,
               * in the range [`start`, `stop`)
               * (i.e. `start <= tokenId < stop`).
               *
               * This function allows for tokens to be queried if the collection
               * grows too big for a single call of {ERC721AQueryable-tokensOfOwner}.
               *
               * Requirements:
               *
               * - `start < stop`
               */
              function tokensOfOwnerIn(
                  address owner,
                  uint256 start,
                  uint256 stop
              ) external view returns (uint256[] memory);
              /**
               * @dev Returns an array of token IDs owned by `owner`.
               *
               * This function scans the ownership mapping and is O(`totalSupply`) in complexity.
               * It is meant to be called off-chain.
               *
               * See {ERC721AQueryable-tokensOfOwnerIn} for splitting the scan into
               * multiple smaller scans if the collection is large enough to cause
               * an out-of-gas error (10K collections should be fine).
               */
              function tokensOfOwner(address owner) external view returns (uint256[] memory);
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          /**
           * @dev Interface of ERC721A.
           */
          interface IERC721AUpgradeable {
              /**
               * The caller must own the token or be an approved operator.
               */
              error ApprovalCallerNotOwnerNorApproved();
              /**
               * The token does not exist.
               */
              error ApprovalQueryForNonexistentToken();
              /**
               * Cannot query the balance for the zero address.
               */
              error BalanceQueryForZeroAddress();
              /**
               * Cannot mint to the zero address.
               */
              error MintToZeroAddress();
              /**
               * The quantity of tokens minted must be more than zero.
               */
              error MintZeroQuantity();
              /**
               * The token does not exist.
               */
              error OwnerQueryForNonexistentToken();
              /**
               * The caller must own the token or be an approved operator.
               */
              error TransferCallerNotOwnerNorApproved();
              /**
               * The token must be owned by `from`.
               */
              error TransferFromIncorrectOwner();
              /**
               * Cannot safely transfer to a contract that does not implement the
               * ERC721Receiver interface.
               */
              error TransferToNonERC721ReceiverImplementer();
              /**
               * Cannot transfer to the zero address.
               */
              error TransferToZeroAddress();
              /**
               * The token does not exist.
               */
              error URIQueryForNonexistentToken();
              /**
               * The `quantity` minted with ERC2309 exceeds the safety limit.
               */
              error MintERC2309QuantityExceedsLimit();
              /**
               * The `extraData` cannot be set on an unintialized ownership slot.
               */
              error OwnershipNotInitializedForExtraData();
              // =============================================================
              //                            STRUCTS
              // =============================================================
              struct TokenOwnership {
                  // The address of the owner.
                  address addr;
                  // Stores the start time of ownership with minimal overhead for tokenomics.
                  uint64 startTimestamp;
                  // Whether the token has been burned.
                  bool burned;
                  // Arbitrary data similar to `startTimestamp` that can be set via {_extraData}.
                  uint24 extraData;
              }
              // =============================================================
              //                         TOKEN COUNTERS
              // =============================================================
              /**
               * @dev Returns the total number of tokens in existence.
               * Burned tokens will reduce the count.
               * To get the total number of tokens minted, please see {_totalMinted}.
               */
              function totalSupply() external view returns (uint256);
              // =============================================================
              //                            IERC165
              // =============================================================
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30000 gas.
               */
              function supportsInterface(bytes4 interfaceId) external view returns (bool);
              // =============================================================
              //                            IERC721
              // =============================================================
              /**
               * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
               */
              event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);
              /**
               * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
               */
              event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);
              /**
               * @dev Emitted when `owner` enables or disables
               * (`approved`) `operator` to manage all of its assets.
               */
              event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
              /**
               * @dev Returns the number of tokens in `owner`'s account.
               */
              function balanceOf(address owner) external view returns (uint256 balance);
              /**
               * @dev Returns the owner of the `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function ownerOf(uint256 tokenId) external view returns (address owner);
              /**
               * @dev Safely transfers `tokenId` token from `from` to `to`,
               * checking first that contract recipients are aware of the ERC721 protocol
               * to prevent tokens from being forever locked.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must exist and be owned by `from`.
               * - If the caller is not `from`, it must be have been allowed to move
               * this token by either {approve} or {setApprovalForAll}.
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
               *
               * Emits a {Transfer} event.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes calldata data
              ) external payable;
              /**
               * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) external payable;
              /**
               * @dev Transfers `tokenId` from `from` to `to`.
               *
               * WARNING: Usage of this method is discouraged, use {safeTransferFrom}
               * whenever possible.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) external payable;
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account.
               * The approval is cleared when the token is transferred.
               *
               * Only a single account can be approved at a time, so approving the
               * zero address clears previous approvals.
               *
               * Requirements:
               *
               * - The caller must own the token or be an approved operator.
               * - `tokenId` must exist.
               *
               * Emits an {Approval} event.
               */
              function approve(address to, uint256 tokenId) external payable;
              /**
               * @dev Approve or remove `operator` as an operator for the caller.
               * Operators can call {transferFrom} or {safeTransferFrom}
               * for any token owned by the caller.
               *
               * Requirements:
               *
               * - The `operator` cannot be the caller.
               *
               * Emits an {ApprovalForAll} event.
               */
              function setApprovalForAll(address operator, bool _approved) external;
              /**
               * @dev Returns the account approved for `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function getApproved(uint256 tokenId) external view returns (address operator);
              /**
               * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
               *
               * See {setApprovalForAll}.
               */
              function isApprovedForAll(address owner, address operator) external view returns (bool);
              // =============================================================
              //                        IERC721Metadata
              // =============================================================
              /**
               * @dev Returns the token collection name.
               */
              function name() external view returns (string memory);
              /**
               * @dev Returns the token collection symbol.
               */
              function symbol() external view returns (string memory);
              /**
               * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
               */
              function tokenURI(uint256 tokenId) external view returns (string memory);
              // =============================================================
              //                           IERC2309
              // =============================================================
              /**
               * @dev Emitted when tokens in `fromTokenId` to `toTokenId`
               * (inclusive) is transferred from `from` to `to`, as defined in the
               * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309) standard.
               *
               * See {_mintERC2309} for more details.
               */
              event ConsecutiveTransfer(uint256 indexed fromTokenId, uint256 toTokenId, address indexed from, address indexed to);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Gas optimized ECDSA wrapper.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/ECDSA.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/ECDSA.sol)
          /// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/ECDSA.sol)
          library ECDSA {
              function recover(bytes32 hash, bytes calldata signature) internal view returns (address result) {
                  assembly {
                      if eq(signature.length, 65) {
                          // Copy the free memory pointer so that we can restore it later.
                          let m := mload(0x40)
                          // Directly copy `r` and `s` from the calldata.
                          calldatacopy(0x40, signature.offset, 0x40)
                          // If `s` in lower half order, such that the signature is not malleable.
                          // prettier-ignore
                          if iszero(gt(mload(0x60), 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0)) {
                              mstore(0x00, hash)
                              // Compute `v` and store it in the scratch space.
                              mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40))))
                              pop(
                                  staticcall(
                                      gas(), // Amount of gas left for the transaction.
                                      0x01, // Address of `ecrecover`.
                                      0x00, // Start of input.
                                      0x80, // Size of input.
                                      0x40, // Start of output.
                                      0x20 // Size of output.
                                  )
                              )
                              // Restore the zero slot.
                              mstore(0x60, 0)
                              // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                              result := mload(sub(0x60, returndatasize()))
                          }
                          // Restore the free memory pointer.
                          mstore(0x40, m)
                      }
                  }
              }
              function recover(
                  bytes32 hash,
                  bytes32 r,
                  bytes32 vs
              ) internal view returns (address result) {
                  assembly {
                      // Copy the free memory pointer so that we can restore it later.
                      let m := mload(0x40)
                      // prettier-ignore
                      let s := and(vs, 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff)
                      // If `s` in lower half order, such that the signature is not malleable.
                      // prettier-ignore
                      if iszero(gt(s, 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0)) {
                          mstore(0x00, hash)
                          mstore(0x20, add(shr(255, vs), 27))
                          mstore(0x40, r)
                          mstore(0x60, s)
                          pop(
                              staticcall(
                                  gas(), // Amount of gas left for the transaction.
                                  0x01, // Address of `ecrecover`.
                                  0x00, // Start of input.
                                  0x80, // Size of input.
                                  0x40, // Start of output.
                                  0x20 // Size of output.
                              )
                          )
                          // Restore the zero slot.
                          mstore(0x60, 0)
                          // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                          result := mload(sub(0x60, returndatasize()))
                      }
                      // Restore the free memory pointer.
                      mstore(0x40, m)
                  }
              }
              function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 result) {
                  assembly {
                      // Store into scratch space for keccak256.
                      mstore(0x20, hash)
                      mstore(0x00, "\\x00\\x00\\x00\\x00\\x19Ethereum Signed Message:\
          32")
                      // 0x40 - 0x04 = 0x3c
                      result := keccak256(0x04, 0x3c)
                  }
              }
              function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32 result) {
                  assembly {
                      // We need at most 128 bytes for Ethereum signed message header.
                      // The max length of the ASCII reprenstation of a uint256 is 78 bytes.
                      // The length of "\\x19Ethereum Signed Message:\
          " is 26 bytes (i.e. 0x1a).
                      // The next multiple of 32 above 78 + 26 is 128 (i.e. 0x80).
                      // Instead of allocating, we temporarily copy the 128 bytes before the
                      // start of `s` data to some variables.
                      let m3 := mload(sub(s, 0x60))
                      let m2 := mload(sub(s, 0x40))
                      let m1 := mload(sub(s, 0x20))
                      // The length of `s` is in bytes.
                      let sLength := mload(s)
                      let ptr := add(s, 0x20)
                      // `end` marks the end of the memory which we will compute the keccak256 of.
                      let end := add(ptr, sLength)
                      // Convert the length of the bytes to ASCII decimal representation
                      // and store it into the memory.
                      // prettier-ignore
                      for { let temp := sLength } 1 {} {
                          ptr := sub(ptr, 1)
                          mstore8(ptr, add(48, mod(temp, 10)))
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      // Copy the header over to the memory.
                      mstore(sub(ptr, 0x20), "\\x00\\x00\\x00\\x00\\x00\\x00\\x19Ethereum Signed Message:\
          ")
                      // Compute the keccak256 of the memory.
                      result := keccak256(sub(ptr, 0x1a), sub(end, sub(ptr, 0x1a)))
                      // Restore the previous memory.
                      mstore(s, sLength)
                      mstore(sub(s, 0x20), m1)
                      mstore(sub(s, 0x40), m2)
                      mstore(sub(s, 0x60), m3)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Library for converting numbers into strings and other string operations.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibString.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibString.sol)
          library LibString {
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                        CUSTOM ERRORS                       */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              error HexLengthInsufficient();
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                     DECIMAL OPERATIONS                     */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function toString(uint256 value) internal pure returns (string memory str) {
                  assembly {
                      // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
                      // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
                      // We will need 1 word for the trailing zeros padding, 1 word for the length,
                      // and 3 words for a maximum of 78 digits. Total: 5 * 0x20 = 0xa0.
                      let m := add(mload(0x40), 0xa0)
                      // Update the free memory pointer to allocate.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end of the memory to calculate the length later.
                      let end := str
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 1)
                          // Write the character to the pointer.
                          // The ASCII index of the '0' character is 48.
                          mstore8(str, add(48, mod(temp, 10)))
                          // Keep dividing `temp` until zero.
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      let length := sub(end, str)
                      // Move the pointer 32 bytes leftwards to make room for the length.
                      str := sub(str, 0x20)
                      // Store the length.
                      mstore(str, length)
                  }
              }
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                   HEXADECIMAL OPERATIONS                   */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function toHexString(uint256 value, uint256 length) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the trailing zeros padding, `length * 2` bytes
                      // for the digits, 0x02 bytes for the prefix, and 0x20 bytes for the length.
                      // We add 0x20 to the total and round down to a multiple of 0x20.
                      // (0x20 + 0x20 + 0x02 + 0x20) = 0x62.
                      let m := add(start, and(add(shl(1, length), 0x62), not(0x1f)))
                      // Allocate the memory.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end to calculate the length later.
                      let end := str
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      let temp := value
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for {} 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          length := sub(length, 1)
                          // prettier-ignore
                          if iszero(length) { break }
                      }
                      if temp {
                          // Store the function selector of `HexLengthInsufficient()`.
                          mstore(0x00, 0x2194895a)
                          // Revert with (offset, size).
                          revert(0x1c, 0x04)
                      }
                      // Compute the string's length.
                      let strLength := add(sub(end, str), 2)
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 0x20)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, strLength)
                  }
              }
              function toHexString(uint256 value) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
                      // 0x02 bytes for the prefix, and 0x40 bytes for the digits.
                      // The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x40) is 0xa0.
                      let m := add(start, 0xa0)
                      // Allocate the memory.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end to calculate the length later.
                      let end := str
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      // Compute the string's length.
                      let strLength := add(sub(end, str), 2)
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 0x20)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, strLength)
                  }
              }
              function toHexString(address value) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the length, 0x02 bytes for the prefix,
                      // and 0x28 bytes for the digits.
                      // The next multiple of 0x20 above (0x20 + 0x02 + 0x28) is 0x60.
                      str := add(start, 0x60)
                      // Allocate the memory.
                      mstore(0x40, str)
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      let length := 20
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          length := sub(length, 1)
                          // prettier-ignore
                          if iszero(length) { break }
                      }
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 32)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, 42)
                  }
              }
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                   OTHER STRING OPERATIONS                  */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function replace(
                  string memory subject,
                  string memory search,
                  string memory replacement
              ) internal pure returns (string memory result) {
                  assembly {
                      let subjectLength := mload(subject)
                      let searchLength := mload(search)
                      let replacementLength := mload(replacement)
                      subject := add(subject, 0x20)
                      search := add(search, 0x20)
                      replacement := add(replacement, 0x20)
                      result := add(mload(0x40), 0x20)
                      let subjectEnd := add(subject, subjectLength)
                      if iszero(gt(searchLength, subjectLength)) {
                          let subjectSearchEnd := add(sub(subjectEnd, searchLength), 1)
                          let h := 0
                          if iszero(lt(searchLength, 32)) {
                              h := keccak256(search, searchLength)
                          }
                          let m := shl(3, sub(32, and(searchLength, 31)))
                          let s := mload(search)
                          // prettier-ignore
                          for {} 1 {} {
                              let t := mload(subject)
                              // Whether the first `searchLength % 32` bytes of 
                              // `subject` and `search` matches.
                              if iszero(shr(m, xor(t, s))) {
                                  if h {
                                      if iszero(eq(keccak256(subject, searchLength), h)) {
                                          mstore(result, t)
                                          result := add(result, 1)
                                          subject := add(subject, 1)
                                          // prettier-ignore
                                          if iszero(lt(subject, subjectSearchEnd)) { break }
                                          continue
                                      }
                                  }
                                  // Copy the `replacement` one word at a time.
                                  // prettier-ignore
                                  for { let o := 0 } 1 {} {
                                      mstore(add(result, o), mload(add(replacement, o)))
                                      o := add(o, 0x20)
                                      // prettier-ignore
                                      if iszero(lt(o, replacementLength)) { break }
                                  }
                                  result := add(result, replacementLength)
                                  subject := add(subject, searchLength)    
                                  if iszero(searchLength) {
                                      mstore(result, t)
                                      result := add(result, 1)
                                      subject := add(subject, 1)
                                  }
                                  // prettier-ignore
                                  if iszero(lt(subject, subjectSearchEnd)) { break }
                                  continue
                              }
                              mstore(result, t)
                              result := add(result, 1)
                              subject := add(subject, 1)
                              // prettier-ignore
                              if iszero(lt(subject, subjectSearchEnd)) { break }
                          }
                      }
                      let resultRemainder := result
                      result := add(mload(0x40), 0x20)
                      let k := add(sub(resultRemainder, result), sub(subjectEnd, subject))
                      // Copy the rest of the string one word at a time.
                      // prettier-ignore
                      for {} lt(subject, subjectEnd) {} {
                          mstore(resultRemainder, mload(subject))
                          resultRemainder := add(resultRemainder, 0x20)
                          subject := add(subject, 0x20)
                      }
                      // Allocate memory for the length and the bytes,
                      // rounded up to a multiple of 32.
                      mstore(0x40, add(result, and(add(k, 0x40), not(0x1f))))
                      result := sub(result, 0x20)
                      mstore(result, k)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Gas optimized verification of proof of inclusion for a leaf in a Merkle tree.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MerkleProofLib.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/MerkleProofLib.sol)
          /// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/MerkleProof.sol)
          library MerkleProofLib {
              function verify(
                  bytes32[] calldata proof,
                  bytes32 root,
                  bytes32 leaf
              ) internal pure returns (bool isValid) {
                  assembly {
                      if proof.length {
                          // Left shift by 5 is equivalent to multiplying by 0x20.
                          let end := add(proof.offset, shl(5, proof.length))
                          // Initialize `offset` to the offset of `proof` in the calldata.
                          let offset := proof.offset
                          // Iterate over proof elements to compute root hash.
                          // prettier-ignore
                          for {} 1 {} {
                              // Slot of `leaf` in scratch space.
                              // If the condition is true: 0x20, otherwise: 0x00.
                              let scratch := shl(5, gt(leaf, calldataload(offset)))
                              // Store elements to hash contiguously in scratch space.
                              // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                              mstore(scratch, leaf)
                              mstore(xor(scratch, 0x20), calldataload(offset))
                              // Reuse `leaf` to store the hash to reduce stack operations.
                              leaf := keccak256(0x00, 0x40)
                              offset := add(offset, 0x20)
                              // prettier-ignore
                              if iszero(lt(offset, end)) { break }
                          }
                      }
                      isValid := eq(leaf, root)
                  }
              }
              function verifyMultiProof(
                  bytes32[] calldata proof,
                  bytes32 root,
                  bytes32[] calldata leafs,
                  bool[] calldata flags
              ) internal pure returns (bool isValid) {
                  // Rebuilds the root by consuming and producing values on a queue.
                  // The queue starts with the `leafs` array, and goes into a `hashes` array.
                  // After the process, the last element on the queue is verified
                  // to be equal to the `root`.
                  //
                  // The `flags` array denotes whether the sibling
                  // should be popped from the queue (`flag == true`), or
                  // should be popped from the `proof` (`flag == false`).
                  assembly {
                      // If the number of flags is correct.
                      // prettier-ignore
                      for {} eq(add(leafs.length, proof.length), add(flags.length, 1)) {} {
                          // Left shift by 5 is equivalent to multiplying by 0x20.
                          // Compute the end calldata offset of `leafs`.
                          let leafsEnd := add(leafs.offset, shl(5, leafs.length))
                          // These are the calldata offsets.
                          let leafsOffset := leafs.offset
                          let flagsOffset := flags.offset
                          let proofOffset := proof.offset
                          // We can use the free memory space for the queue.
                          // We don't need to allocate, since the queue is temporary.
                          let hashesFront := mload(0x40)
                          let hashesBack := hashesFront
                          // This is the end of the memory for the queue.
                          let end := add(hashesBack, shl(5, flags.length))
                          // For the case where `proof.length + leafs.length == 1`.
                          if iszero(flags.length) {
                              // If `proof.length` is zero, `leafs.length` is 1.
                              if iszero(proof.length) {
                                  isValid := eq(calldataload(leafsOffset), root)
                                  break
                              }
                              // If `leafs.length` is zero, `proof.length` is 1.
                              if iszero(leafs.length) {
                                  isValid := eq(calldataload(proofOffset), root)
                                  break
                              }
                          }
                          // prettier-ignore
                          for {} 1 {} {
                              let a := 0
                              // Pops a value from the queue into `a`.
                              switch lt(leafsOffset, leafsEnd)
                              case 0 {
                                  // Pop from `hashes` if there are no more leafs.
                                  a := mload(hashesFront)
                                  hashesFront := add(hashesFront, 0x20)
                              }
                              default {
                                  // Otherwise, pop from `leafs`.
                                  a := calldataload(leafsOffset)
                                  leafsOffset := add(leafsOffset, 0x20)
                              }
                              let b := 0
                              // If the flag is false, load the next proof,
                              // else, pops from the queue.
                              switch calldataload(flagsOffset)
                              case 0 {
                                  // Loads the next proof.
                                  b := calldataload(proofOffset)
                                  proofOffset := add(proofOffset, 0x20)
                              }
                              default {
                                  // Pops a value from the queue into `a`.
                                  switch lt(leafsOffset, leafsEnd)
                                  case 0 {
                                      // Pop from `hashes` if there are no more leafs.
                                      b := mload(hashesFront)
                                      hashesFront := add(hashesFront, 0x20)
                                  }
                                  default {
                                      // Otherwise, pop from `leafs`.
                                      b := calldataload(leafsOffset)
                                      leafsOffset := add(leafsOffset, 0x20)
                                  }
                              }
                              // Advance to the next flag offset.
                              flagsOffset := add(flagsOffset, 0x20)
                              // Slot of `a` in scratch space.
                              // If the condition is true: 0x20, otherwise: 0x00.
                              let scratch := shl(5, gt(a, b))
                              // Hash the scratch space and push the result onto the queue.
                              mstore(scratch, a)
                              mstore(xor(scratch, 0x20), b)
                              mstore(hashesBack, keccak256(0x00, 0x40))
                              hashesBack := add(hashesBack, 0x20)
                              // prettier-ignore
                              if iszero(lt(hashesBack, end)) { break }
                          }
                          // Checks if the last value in the queue is same as the root.
                          isValid := eq(mload(sub(hashesBack, 0x20)), root)
                          break
                      }
                  }
              }
          }
          

          File 3 of 5: BlurExchangeV2
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { Ownable2StepUpgradeable } from "lib/openzeppelin-contracts-upgradeable/contracts/access/Ownable2StepUpgradeable.sol";
          import { UUPSUpgradeable } from "lib/openzeppelin-contracts-upgradeable/contracts/proxy/utils/UUPSUpgradeable.sol";
          import { Executor } from "./Executor.sol";
          import "./lib/Constants.sol";
          import {
              TakeAsk,
              TakeBid,
              TakeAskSingle,
              TakeBidSingle,
              Order,
              Exchange,
              Fees,
              FeeRate,
              AssetType,
              OrderType,
              Transfer,
              FungibleTransfers,
              StateUpdate,
              AtomicExecution,
              Cancel,
              Listing
          } from "./lib/Structs.sol";
          import { IBlurExchangeV2 } from "./interfaces/IBlurExchangeV2.sol";
          import { ReentrancyGuardUpgradeable } from "./lib/ReentrancyGuardUpgradeable.sol";
          contract BlurExchangeV2 is
              IBlurExchangeV2,
              Ownable2StepUpgradeable,
              UUPSUpgradeable,
              ReentrancyGuardUpgradeable,
              Executor
          {
              address public governor;
              // required by the OZ UUPS module
              function _authorizeUpgrade(address) internal override onlyOwner {}
              constructor(address delegate, address pool, address proxy) Executor(delegate, pool, proxy) {
                  _disableInitializers();
              }
              function initialize() external initializer {
                  __UUPSUpgradeable_init();
                  __Ownable_init();
                  __Reentrancy_init();
                  verifyDomain();
              }
              modifier onlyGovernor() {
                  if (msg.sender != governor) {
                      revert Unauthorized();
                  }
                  _;
              }
              /**
               * @notice Governor only function to set the protocol fee rate and recipient
               * @param recipient Protocol fee recipient
               * @param rate Protocol fee rate
               */
              function setProtocolFee(address recipient, uint16 rate) external onlyGovernor {
                  if (rate > _MAX_PROTOCOL_FEE_RATE) {
                      revert ProtocolFeeTooHigh();
                  }
                  protocolFee = FeeRate(recipient, rate);
                  emit NewProtocolFee(recipient, rate);
              }
              /**
               * @notice Admin only function to set the governor of the exchange
               * @param _governor Address of governor to set
               */
              function setGovernor(address _governor) external onlyOwner {
                  governor = _governor;
                  emit NewGovernor(_governor);
              }
              /**
               * @notice Admin only function to grant or revoke the approval of an oracle
               * @param oracle Address to set approval of
               * @param approved If the oracle should be approved or not
               */
              function setOracle(address oracle, bool approved) external onlyOwner {
                  if (approved) {
                      oracles[oracle] = 1;
                  } else {
                      oracles[oracle] = 0;
                  }
                  emit SetOracle(oracle, approved);
              }
              /**
               * @notice Admin only function to set the block range
               * @param _blockRange Block range that oracle signatures are valid for
               */
              function setBlockRange(uint256 _blockRange) external onlyOwner {
                  blockRange = _blockRange;
                  emit NewBlockRange(_blockRange);
              }
              /**
               * @notice Cancel listings by recording their fulfillment
               * @param cancels List of cancels to execute
               */
              function cancelTrades(Cancel[] memory cancels) external {
                  uint256 cancelsLength = cancels.length;
                  for (uint256 i; i < cancelsLength; ) {
                      Cancel memory cancel = cancels[i];
                      amountTaken[msg.sender][cancel.hash][cancel.index] += cancel.amount;
                      emit CancelTrade(msg.sender, cancel.hash, cancel.index, cancel.amount);
                      unchecked {
                          ++i;
                      }
                  }
              }
              /**
               * @notice Cancels all orders by incrementing caller nonce
               */
              function incrementNonce() external {
                  emit NonceIncremented(msg.sender, ++nonces[msg.sender]);
              }
              /*//////////////////////////////////////////////////////////////
                                    EXECUTION WRAPPERS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Wrapper of _takeAsk that verifies an oracle signature of the calldata before executing
               * @param inputs Inputs for _takeAsk
               * @param oracleSignature Oracle signature of inputs
               */
              function takeAsk(
                  TakeAsk memory inputs,
                  bytes calldata oracleSignature
              )
                  public
                  payable
                  nonReentrant
                  verifyOracleSignature(_hashCalldata(msg.sender), oracleSignature)
              {
                  _takeAsk(
                      inputs.orders,
                      inputs.exchanges,
                      inputs.takerFee,
                      inputs.signatures,
                      inputs.tokenRecipient
                  );
              }
              /**
               * @notice Wrapper of _takeBid that verifies an oracle signature of the calldata before executing
               * @param inputs Inputs for _takeBid
               * @param oracleSignature Oracle signature of inputs
               */
              function takeBid(
                  TakeBid memory inputs,
                  bytes calldata oracleSignature
              ) public verifyOracleSignature(_hashCalldata(msg.sender), oracleSignature) {
                  _takeBid(inputs.orders, inputs.exchanges, inputs.takerFee, inputs.signatures);
              }
              /**
               * @notice Wrapper of _takeAskSingle that verifies an oracle signature of the calldata before executing
               * @param inputs Inputs for _takeAskSingle
               * @param oracleSignature Oracle signature of inputs
               */
              function takeAskSingle(
                  TakeAskSingle memory inputs,
                  bytes calldata oracleSignature
              )
                  public
                  payable
                  nonReentrant
                  verifyOracleSignature(_hashCalldata(msg.sender), oracleSignature)
              {
                  _takeAskSingle(
                      inputs.order,
                      inputs.exchange,
                      inputs.takerFee,
                      inputs.signature,
                      inputs.tokenRecipient
                  );
              }
              /**
               * @notice Wrapper of _takeBidSingle that verifies an oracle signature of the calldata before executing
               * @param inputs Inputs for _takeBidSingle
               * @param oracleSignature Oracle signature of inputs
               */
              function takeBidSingle(
                  TakeBidSingle memory inputs,
                  bytes calldata oracleSignature
              ) external verifyOracleSignature(_hashCalldata(msg.sender), oracleSignature) {
                  _takeBidSingle(inputs.order, inputs.exchange, inputs.takerFee, inputs.signature);
              }
              /*//////////////////////////////////////////////////////////////
                                  EXECUTION POOL WRAPPERS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Wrapper of takeAskSingle that withdraws ETH from the caller's pool balance prior to executing
               * @param inputs Inputs for takeAskSingle
               * @param oracleSignature Oracle signature of inputs
               * @param amountToWithdraw Amount of ETH to withdraw from the pool
               */
              function takeAskSinglePool(
                  TakeAskSingle memory inputs,
                  bytes calldata oracleSignature,
                  uint256 amountToWithdraw
              ) external payable {
                  _withdrawFromPool(msg.sender, amountToWithdraw);
                  takeAskSingle(inputs, oracleSignature);
              }
              /**
               * @notice Wrapper of takeAsk that withdraws ETH from the caller's pool balance prior to executing
               * @param inputs Inputs for takeAsk
               * @param oracleSignature Oracle signature of inputs
               * @param amountToWithdraw Amount of ETH to withdraw from the pool
               */
              function takeAskPool(
                  TakeAsk memory inputs,
                  bytes calldata oracleSignature,
                  uint256 amountToWithdraw
              ) external payable {
                  _withdrawFromPool(msg.sender, amountToWithdraw);
                  takeAsk(inputs, oracleSignature);
              }
              /*//////////////////////////////////////////////////////////////
                                    EXECUTION FUNCTIONS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Take a single ask
               * @param order Order of listing to fulfill
               * @param exchange Exchange struct indicating the listing to take and the parameters to match it with
               * @param takerFee Taker fee to be taken
               * @param signature Order signature
               * @param tokenRecipient Address to receive the token transfer
               */
              function _takeAskSingle(
                  Order memory order,
                  Exchange memory exchange,
                  FeeRate memory takerFee,
                  bytes memory signature,
                  address tokenRecipient
              ) internal {
                  Fees memory fees = Fees(protocolFee, takerFee);
                  Listing memory listing = exchange.listing;
                  uint256 takerAmount = exchange.taker.amount;
                  /* Validate the order and listing, revert if not. */
                  if (!_validateOrderAndListing(order, OrderType.ASK, exchange, signature, fees)) {
                      revert InvalidOrder();
                  }
                  /* Create single execution batch and insert the transfer. */
                  bytes memory executionBatch = _initializeSingleExecution(
                      order,
                      OrderType.ASK,
                      listing.tokenId,
                      takerAmount,
                      tokenRecipient
                  );
                  /* Set the fulfillment of the order. */
                  unchecked {
                      amountTaken[order.trader][bytes32(order.salt)][listing.index] += takerAmount;
                  }
                  /* Execute the token transfers, revert if not successful. */
                  {
                      bool[] memory successfulTransfers = _executeNonfungibleTransfers(executionBatch, 1);
                      if (!successfulTransfers[0]) {
                          revert TokenTransferFailed();
                      }
                  }
                  (
                      uint256 totalPrice,
                      uint256 protocolFeeAmount,
                      uint256 makerFeeAmount,
                      uint256 takerFeeAmount
                  ) = _computeFees(listing.price, takerAmount, order.makerFee, fees);
                  /* If there are insufficient funds to cover the price with the fees, revert. */
                  unchecked {
                      if (address(this).balance < totalPrice + takerFeeAmount) {
                          revert InsufficientFunds();
                      }
                  }
                  /* Execute ETH transfers. */
                  _transferETH(fees.protocolFee.recipient, protocolFeeAmount);
                  _transferETH(fees.takerFee.recipient, takerFeeAmount);
                  _transferETH(order.makerFee.recipient, makerFeeAmount);
                  unchecked {
                      _transferETH(order.trader, totalPrice - makerFeeAmount - protocolFeeAmount);
                  }
                  _emitExecutionEvent(executionBatch, order, listing.index, totalPrice, fees, OrderType.ASK);
                  /* Return dust. */
                  _transferETH(msg.sender, address(this).balance);
              }
              /**
               * @notice Take a single bid
               * @param order Order of listing to fulfill
               * @param exchange Exchange struct indicating the listing to take and the parameters to match it with
               * @param takerFee Taker fee to be taken
               * @param signature Order signature
               */
              function _takeBidSingle(
                  Order memory order,
                  Exchange memory exchange,
                  FeeRate memory takerFee,
                  bytes memory signature
              ) internal {
                  Fees memory fees = Fees(protocolFee, takerFee);
                  Listing memory listing = exchange.listing;
                  uint256 takerAmount = exchange.taker.amount;
                  /* Validate the order and listing, revert if not. */
                  if (!_validateOrderAndListing(order, OrderType.BID, exchange, signature, fees)) {
                      revert InvalidOrder();
                  }
                  /* Create single execution batch and insert the transfer. */
                  bytes memory executionBatch = _initializeSingleExecution(
                      order,
                      OrderType.BID,
                      exchange.taker.tokenId,
                      takerAmount,
                      msg.sender
                  );
                  /* Execute the token transfers, revert if not successful. */
                  {
                      bool[] memory successfulTransfers = _executeNonfungibleTransfers(executionBatch, 1);
                      if (!successfulTransfers[0]) {
                          revert TokenTransferFailed();
                      }
                  }
                  (
                      uint256 totalPrice,
                      uint256 protocolFeeAmount,
                      uint256 makerFeeAmount,
                      uint256 takerFeeAmount
                  ) = _computeFees(listing.price, takerAmount, order.makerFee, fees);
                  /* Execute pool transfers and set the fulfillment of the order. */
                  address trader = order.trader;
                  _transferPool(trader, order.makerFee.recipient, makerFeeAmount);
                  _transferPool(trader, fees.takerFee.recipient, takerFeeAmount);
                  _transferPool(trader, fees.protocolFee.recipient, protocolFeeAmount);
                  unchecked {
                      _transferPool(trader, msg.sender, totalPrice - takerFeeAmount - protocolFeeAmount);
                      amountTaken[trader][bytes32(order.salt)][listing.index] += exchange.taker.amount;
                  }
                  _emitExecutionEvent(executionBatch, order, listing.index, totalPrice, fees, OrderType.BID);
              }
              /**
               * @notice Take multiple asks; efficiently verifying and executing the transfers in bulk
               * @param orders List of orders
               * @param exchanges List of exchanges indicating the listing to take and the parameters to match it with
               * @param takerFee Taker fee to be taken on each exchange
               * @param signatures Bytes array of order signatures
               * @param tokenRecipient Address to receive the tokens purchased
               */
              function _takeAsk(
                  Order[] memory orders,
                  Exchange[] memory exchanges,
                  FeeRate memory takerFee,
                  bytes memory signatures,
                  address tokenRecipient
              ) internal {
                  Fees memory fees = Fees(protocolFee, takerFee);
                  /**
                   * Validate all the orders potentially used in the execution and
                   * initialize the arrays for pending fulfillments.
                   */
                  (bool[] memory validOrders, uint256[][] memory pendingAmountTaken) = _validateOrders(
                      orders,
                      OrderType.ASK,
                      signatures,
                      fees
                  );
                  uint256 exchangesLength = exchanges.length;
                  /* Initialize the execution batch structs. */
                  (
                      bytes memory executionBatch,
                      FungibleTransfers memory fungibleTransfers
                  ) = _initializeBatch(exchangesLength, OrderType.ASK, tokenRecipient);
                  Order memory order;
                  Exchange memory exchange;
                  uint256 remainingETH = address(this).balance;
                  for (uint256 i; i < exchangesLength; ) {
                      exchange = exchanges[i];
                      order = orders[exchange.index];
                      /* Check the listing and exchange is valid and its parent order has already been validated. */
                      if (
                          _validateListingFromBatch(
                              order,
                              OrderType.ASK,
                              exchange,
                              validOrders,
                              pendingAmountTaken
                          )
                      ) {
                          /* Insert the transfers into the batch. */
                          bool inserted;
                          (remainingETH, inserted) = _insertExecutionAsk(
                              executionBatch,
                              fungibleTransfers,
                              order,
                              exchange,
                              fees,
                              remainingETH
                          );
                          if (inserted) {
                              unchecked {
                                  pendingAmountTaken[exchange.index][exchange.listing.index] += exchange
                                      .taker
                                      .amount;
                              }
                          }
                      }
                      unchecked {
                          ++i;
                      }
                  }
                  /* Execute all transfers. */
                  _executeBatchTransfer(executionBatch, fungibleTransfers, fees, OrderType.ASK);
                  /* Return dust. */
                  _transferETH(msg.sender, address(this).balance);
              }
              /**
               * @notice Take multiple bids; efficiently verifying and executing the transfers in bulk
               * @param orders List of orders
               * @param exchanges List of exchanges indicating the listing to take and the parameters to match it with
               * @param takerFee Taker fee to be taken on each exchange
               * @param signatures Bytes array of order signatures
               */
              function _takeBid(
                  Order[] memory orders,
                  Exchange[] memory exchanges,
                  FeeRate memory takerFee,
                  bytes memory signatures
              ) internal {
                  Fees memory fees = Fees(protocolFee, takerFee);
                  /**
                   * Validate all the orders potentially used in the execution and
                   * initialize the arrays for pending fulfillments.
                   */
                  (bool[] memory validOrders, uint256[][] memory pendingAmountTaken) = _validateOrders(
                      orders,
                      OrderType.BID,
                      signatures,
                      fees
                  );
                  uint256 exchangesLength = exchanges.length;
                  /* Initialize the execution batch structs. */
                  (
                      bytes memory executionBatch,
                      FungibleTransfers memory fungibleTransfers
                  ) = _initializeBatch(exchangesLength, OrderType.BID, msg.sender);
                  Order memory order;
                  Exchange memory exchange;
                  for (uint256 i; i < exchangesLength; ) {
                      exchange = exchanges[i];
                      order = orders[exchange.index];
                      /* Check the listing and exchange is valid and its parent order has already been validated. */
                      if (
                          _validateListingFromBatch(
                              order,
                              OrderType.BID,
                              exchange,
                              validOrders,
                              pendingAmountTaken
                          )
                      ) {
                          /* Insert the transfers into the batch. */
                          _insertExecutionBid(executionBatch, fungibleTransfers, order, exchange, fees);
                          /* Record the pending fulfillment. */
                          unchecked {
                              pendingAmountTaken[exchange.index][exchange.listing.index] += exchange
                                  .taker
                                  .amount;
                          }
                      }
                      unchecked {
                          ++i;
                      }
                  }
                  /* Execute all transfers. */
                  _executeBatchTransfer(executionBatch, fungibleTransfers, fees, OrderType.BID);
              }
              /*//////////////////////////////////////////////////////////////
                                    EXECUTION HELPERS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Initialize the ExecutionBatch and FungibleTransfers objects for bulk execution
               * @param exchangesLength Number of exchanges
               * @param orderType Order type
               * @param taker Order taker address
               */
              function _initializeBatch(
                  uint256 exchangesLength,
                  OrderType orderType,
                  address taker
              )
                  internal
                  pure
                  returns (bytes memory executionBatch, FungibleTransfers memory fungibleTransfers)
              {
                  /* Initialize the batch. Constructing it manually in calldata packing allows for cheaper delegate execution. */
                  uint256 arrayLength = Transfer_size * exchangesLength + One_word;
                  uint256 executionBatchLength = ExecutionBatch_base_size + arrayLength;
                  executionBatch = new bytes(executionBatchLength);
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      mstore(add(calldataPointer, ExecutionBatch_taker_offset), taker)
                      mstore(add(calldataPointer, ExecutionBatch_orderType_offset), orderType)
                      mstore(add(calldataPointer, ExecutionBatch_transfers_pointer_offset), ExecutionBatch_transfers_offset) // set the transfers pointer
                      mstore(add(calldataPointer, ExecutionBatch_transfers_offset), exchangesLength) // set the length of the transfers array
                  }
                  /* Initialize the fungible transfers object. */
                  AtomicExecution[] memory executions = new AtomicExecution[](exchangesLength);
                  address[] memory feeRecipients = new address[](exchangesLength);
                  address[] memory makers = new address[](exchangesLength);
                  uint256[] memory makerTransfers = new uint256[](exchangesLength);
                  uint256[] memory feeTransfers = new uint256[](exchangesLength);
                  fungibleTransfers = FungibleTransfers({
                      totalProtocolFee: 0,
                      totalSellerTransfer: 0,
                      totalTakerFee: 0,
                      feeRecipientId: 0,
                      feeRecipients: feeRecipients,
                      makerId: 0,
                      makers: makers,
                      feeTransfers: feeTransfers,
                      makerTransfers: makerTransfers,
                      executions: executions
                  });
              }
              /**
               * @notice Initialize the ExecutionBatch object for a single execution
               * @param order Order to take a Listing from
               * @param orderType Order type
               * @param tokenId Token id
               * @param amount ERC721/ERC1155 amount
               * @param taker Order taker address
               */
              function _initializeSingleExecution(
                  Order memory order,
                  OrderType orderType,
                  uint256 tokenId,
                  uint256 amount,
                  address taker
              ) internal pure returns (bytes memory executionBatch) {
                  /* Initialize the batch. Constructing it manually in calldata packing allows for cheaper delegate execution. */
                  uint256 arrayLength = Transfer_size + One_word;
                  uint256 executionBatchLength = ExecutionBatch_base_size + arrayLength;
                  executionBatch = new bytes(executionBatchLength);
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      mstore(add(calldataPointer, ExecutionBatch_taker_offset), taker)
                      mstore(add(calldataPointer, ExecutionBatch_orderType_offset), orderType)
                      mstore(add(calldataPointer, ExecutionBatch_transfers_pointer_offset), ExecutionBatch_transfers_offset) // set the transfers pointer
                      mstore(add(calldataPointer, ExecutionBatch_transfers_offset), 1) // set the length of the transfers array
                  }
                  /* Insert the transfer into the batch. */
                  _insertNonfungibleTransfer(executionBatch, order, tokenId, amount);
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (access/Ownable2Step.sol)
          pragma solidity ^0.8.0;
          import "./OwnableUpgradeable.sol";
          import "../proxy/utils/Initializable.sol";
          /**
           * @dev Contract module which provides access control mechanism, where
           * there is an account (an owner) that can be granted exclusive access to
           * specific functions.
           *
           * By default, the owner account will be the one that deploys the contract. This
           * can later be changed with {transferOwnership} and {acceptOwnership}.
           *
           * This module is used through inheritance. It will make available all functions
           * from parent (Ownable).
           */
          abstract contract Ownable2StepUpgradeable is Initializable, OwnableUpgradeable {
              function __Ownable2Step_init() internal onlyInitializing {
                  __Ownable_init_unchained();
              }
              function __Ownable2Step_init_unchained() internal onlyInitializing {
              }
              address private _pendingOwner;
              event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);
              /**
               * @dev Returns the address of the pending owner.
               */
              function pendingOwner() public view virtual returns (address) {
                  return _pendingOwner;
              }
              /**
               * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
               * Can only be called by the current owner.
               */
              function transferOwnership(address newOwner) public virtual override onlyOwner {
                  _pendingOwner = newOwner;
                  emit OwnershipTransferStarted(owner(), newOwner);
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
               * Internal function without access restriction.
               */
              function _transferOwnership(address newOwner) internal virtual override {
                  delete _pendingOwner;
                  super._transferOwnership(newOwner);
              }
              /**
               * @dev The new owner accepts the ownership transfer.
               */
              function acceptOwnership() external {
                  address sender = _msgSender();
                  require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
                  _transferOwnership(sender);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (proxy/utils/UUPSUpgradeable.sol)
          pragma solidity ^0.8.0;
          import "../../interfaces/draft-IERC1822Upgradeable.sol";
          import "../ERC1967/ERC1967UpgradeUpgradeable.sol";
          import "./Initializable.sol";
          /**
           * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an
           * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.
           *
           * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is
           * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing
           * `UUPSUpgradeable` with a custom implementation of upgrades.
           *
           * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.
           *
           * _Available since v4.1._
           */
          abstract contract UUPSUpgradeable is Initializable, IERC1822ProxiableUpgradeable, ERC1967UpgradeUpgradeable {
              function __UUPSUpgradeable_init() internal onlyInitializing {
              }
              function __UUPSUpgradeable_init_unchained() internal onlyInitializing {
              }
              /// @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
              address private immutable __self = address(this);
              /**
               * @dev Check that the execution is being performed through a delegatecall call and that the execution context is
               * a proxy contract with an implementation (as defined in ERC1967) pointing to self. This should only be the case
               * for UUPS and transparent proxies that are using the current contract as their implementation. Execution of a
               * function through ERC1167 minimal proxies (clones) would not normally pass this test, but is not guaranteed to
               * fail.
               */
              modifier onlyProxy() {
                  require(address(this) != __self, "Function must be called through delegatecall");
                  require(_getImplementation() == __self, "Function must be called through active proxy");
                  _;
              }
              /**
               * @dev Check that the execution is not being performed through a delegate call. This allows a function to be
               * callable on the implementing contract but not through proxies.
               */
              modifier notDelegated() {
                  require(address(this) == __self, "UUPSUpgradeable: must not be called through delegatecall");
                  _;
              }
              /**
               * @dev Implementation of the ERC1822 {proxiableUUID} function. This returns the storage slot used by the
               * implementation. It is used to validate the implementation's compatibility when performing an upgrade.
               *
               * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
               * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
               * function revert if invoked through a proxy. This is guaranteed by the `notDelegated` modifier.
               */
              function proxiableUUID() external view virtual override notDelegated returns (bytes32) {
                  return _IMPLEMENTATION_SLOT;
              }
              /**
               * @dev Upgrade the implementation of the proxy to `newImplementation`.
               *
               * Calls {_authorizeUpgrade}.
               *
               * Emits an {Upgraded} event.
               */
              function upgradeTo(address newImplementation) external virtual onlyProxy {
                  _authorizeUpgrade(newImplementation);
                  _upgradeToAndCallUUPS(newImplementation, new bytes(0), false);
              }
              /**
               * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call
               * encoded in `data`.
               *
               * Calls {_authorizeUpgrade}.
               *
               * Emits an {Upgraded} event.
               */
              function upgradeToAndCall(address newImplementation, bytes memory data) external payable virtual onlyProxy {
                  _authorizeUpgrade(newImplementation);
                  _upgradeToAndCallUUPS(newImplementation, data, true);
              }
              /**
               * @dev Function that should revert when `msg.sender` is not authorized to upgrade the contract. Called by
               * {upgradeTo} and {upgradeToAndCall}.
               *
               * Normally, this function will use an xref:access.adoc[access control] modifier such as {Ownable-onlyOwner}.
               *
               * ```solidity
               * function _authorizeUpgrade(address) internal override onlyOwner {}
               * ```
               */
              function _authorizeUpgrade(address newImplementation) internal virtual;
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { Validation } from "./Validation.sol";
          import "./lib/Constants.sol";
          import {
              Order,
              Exchange,
              FungibleTransfers,
              StateUpdate,
              AtomicExecution,
              AssetType,
              Fees,
              FeeRate,
              Listing,
              Taker,
              Transfer,
              OrderType
          } from "./lib/Structs.sol";
          import { IDelegate } from "./interfaces/IDelegate.sol";
          import { IExecutor } from "./interfaces/IExecutor.sol";
          abstract contract Executor is IExecutor, Validation {
              address private immutable _DELEGATE;
              address private immutable _POOL;
              constructor(address delegate, address pool, address proxy) Validation(proxy) {
                  _DELEGATE = delegate;
                  _POOL = pool;
              }
              receive() external payable {
                  if (msg.sender != _POOL) {
                      revert Unauthorized();
                  }
              }
              /**
               * @notice Insert a validated ask listing into the batch if there's sufficient ETH to fulfill
               * @param executionBatch Execution batch
               * @param fungibleTransfers Fungible transfers
               * @param order Order of the listing to insert
               * @param exchange Exchange containing the listing to insert
               * @param fees Protocol and taker fees
               * @param remainingETH Available ETH remaining
               * @return Available ETH remaining after insertion; if the listing was inserted in the batch
               */
              function _insertExecutionAsk(
                  bytes memory executionBatch,
                  FungibleTransfers memory fungibleTransfers,
                  Order memory order,
                  Exchange memory exchange,
                  Fees memory fees,
                  uint256 remainingETH
              ) internal pure returns (uint256, bool) {
                  uint256 takerAmount = exchange.taker.amount;
                  (
                      uint256 totalPrice,
                      uint256 protocolFeeAmount,
                      uint256 makerFeeAmount,
                      uint256 takerFeeAmount
                  ) = _computeFees(exchange.listing.price, takerAmount, order.makerFee, fees);
                  /* Only insert the executions if there are sufficient funds to execute. */
                  if (remainingETH >= totalPrice + takerFeeAmount) {
                      unchecked {
                          remainingETH = remainingETH - totalPrice - takerFeeAmount;
                      }
                      _setAddresses(fungibleTransfers, order);
                      uint256 index = _insertNonfungibleTransfer(
                          executionBatch,
                          order,
                          exchange.listing.tokenId,
                          takerAmount
                      );
                      _insertFungibleTransfers(
                          fungibleTransfers,
                          takerAmount,
                          exchange.listing,
                          bytes32(order.salt),
                          index,
                          totalPrice,
                          protocolFeeAmount,
                          makerFeeAmount,
                          takerFeeAmount,
                          true
                      );
                      return (remainingETH, true);
                  } else {
                      return (remainingETH, false);
                  }
              }
              /**
               * @notice Insert a validated bid listing into the batch
               * @param executionBatch Execution batch
               * @param fungibleTransfers Fungible transfers
               * @param order Order of the listing to insert
               * @param exchange Exchange containing listing to insert
               * @param fees Protocol and taker fees
               */
              function _insertExecutionBid(
                  bytes memory executionBatch,
                  FungibleTransfers memory fungibleTransfers,
                  Order memory order,
                  Exchange memory exchange,
                  Fees memory fees
              ) internal pure {
                  uint256 takerAmount = exchange.taker.amount;
                  (
                      uint256 totalPrice,
                      uint256 protocolFeeAmount,
                      uint256 makerFeeAmount,
                      uint256 takerFeeAmount
                  ) = _computeFees(exchange.listing.price, takerAmount, order.makerFee, fees);
                  _setAddresses(fungibleTransfers, order);
                  uint256 index = _insertNonfungibleTransfer(
                      executionBatch,
                      order,
                      exchange.taker.tokenId,
                      takerAmount
                  );
                  _insertFungibleTransfers(
                      fungibleTransfers,
                      takerAmount,
                      exchange.listing,
                      bytes32(order.salt),
                      index,
                      totalPrice,
                      protocolFeeAmount,
                      makerFeeAmount,
                      takerFeeAmount,
                      false
                  );
              }
              /**
               * @notice Insert the nonfungible transfer into the batch
               * @param executionBatch Execution batch
               * @param order Order
               * @param tokenId Token id
               * @param amount Number of token units
               * @return transferIndex Index of the transfer
               */
              function _insertNonfungibleTransfer(
                  bytes memory executionBatch,
                  Order memory order,
                  uint256 tokenId,
                  uint256 amount
              ) internal pure returns (uint256 transferIndex) {
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      transferIndex := mload(add(calldataPointer, ExecutionBatch_length_offset))
                      let transfersOffset := mload(add(calldataPointer, ExecutionBatch_transfers_pointer_offset))
                      let transferPointer := add(
                          add(calldataPointer, add(transfersOffset, One_word)),
                          mul(transferIndex, Transfer_size)
                      )
                      mstore(
                          add(transferPointer, Transfer_trader_offset),
                          mload(add(order, Order_trader_offset))
                      ) // set the trader
                      mstore(add(transferPointer, Transfer_id_offset), tokenId) // set the token id
                      mstore(
                          add(transferPointer, Transfer_collection_offset),
                          mload(add(order, Order_collection_offset))
                      ) // set the collection
                      mstore(
                          add(transferPointer, Transfer_assetType_offset),
                          mload(add(order, Order_assetType_offset))
                      ) // set the asset type
                      mstore(add(calldataPointer, ExecutionBatch_length_offset), add(transferIndex, 1)) // increment the batch length
                      if eq(mload(add(order, Order_assetType_offset)), AssetType_ERC1155) {
                          mstore(add(transferPointer, Transfer_amount_offset), amount) // set the amount (don't need to set for ERC721's)
                      }
                  }
              }
              /**
               * @notice Insert the fungible transfers that need to be executed atomically
               * @param fungibleTransfers Fungible transfers struct
               * @param takerAmount Amount of the listing being taken
               * @param listing Listing to execute
               * @param orderHash Order hash
               * @param index Execution index
               * @param totalPrice Total price of the purchased tokens
               * @param protocolFeeAmount Computed protocol fee
               * @param makerFeeAmount Computed maker fee
               * @param takerFeeAmount Computed taker fee
               * @param makerIsSeller Is the order maker the seller
               */
              function _insertFungibleTransfers(
                  FungibleTransfers memory fungibleTransfers,
                  uint256 takerAmount,
                  Listing memory listing,
                  bytes32 orderHash,
                  uint256 index,
                  uint256 totalPrice,
                  uint256 protocolFeeAmount,
                  uint256 makerFeeAmount,
                  uint256 takerFeeAmount,
                  bool makerIsSeller
              ) internal pure {
                  uint256 makerId = fungibleTransfers.makerId;
                  fungibleTransfers.executions[index].makerId = makerId;
                  fungibleTransfers.executions[index].makerFeeRecipientId = fungibleTransfers.feeRecipientId;
                  fungibleTransfers.executions[index].stateUpdate = StateUpdate({
                      trader: fungibleTransfers.makers[makerId],
                      hash: orderHash,
                      index: listing.index,
                      value: takerAmount,
                      maxAmount: listing.amount
                  });
                  if (makerIsSeller) {
                      unchecked {
                          fungibleTransfers.executions[index].sellerAmount =
                              totalPrice -
                              protocolFeeAmount -
                              makerFeeAmount;
                      }
                  } else {
                      unchecked {
                          fungibleTransfers.executions[index].sellerAmount =
                              totalPrice -
                              protocolFeeAmount -
                              takerFeeAmount;
                      }
                  }
                  fungibleTransfers.executions[index].makerFeeAmount = makerFeeAmount;
                  fungibleTransfers.executions[index].takerFeeAmount = takerFeeAmount;
                  fungibleTransfers.executions[index].protocolFeeAmount = protocolFeeAmount;
              }
              /**
               * @notice Set the addresses of the maker fee recipient and order maker if different than currently being batched
               * @param fungibleTransfers Fungible transfers struct
               * @param order Parent order of listing being added to the batch
               */
              function _setAddresses(
                  FungibleTransfers memory fungibleTransfers,
                  Order memory order
              ) internal pure {
                  address feeRecipient = order.makerFee.recipient;
                  uint256 feeRecipientId = fungibleTransfers.feeRecipientId;
                  address currentFeeRecipient = fungibleTransfers.feeRecipients[feeRecipientId];
                  if (feeRecipient != currentFeeRecipient) {
                      if (currentFeeRecipient == address(0)) {
                          fungibleTransfers.feeRecipients[feeRecipientId] = feeRecipient;
                      } else {
                          unchecked {
                              fungibleTransfers.feeRecipients[++feeRecipientId] = feeRecipient;
                          }
                          fungibleTransfers.feeRecipientId = feeRecipientId;
                      }
                  }
                  address trader = order.trader;
                  uint256 makerId = fungibleTransfers.makerId;
                  address currentTrader = fungibleTransfers.makers[makerId];
                  if (trader != currentTrader) {
                      if (currentTrader == address(0)) {
                          fungibleTransfers.makers[makerId] = trader;
                      } else {
                          unchecked {
                              fungibleTransfers.makers[++makerId] = trader;
                          }
                          fungibleTransfers.makerId = makerId;
                      }
                  }
              }
              /**
               * @notice Compute all necessary fees to be taken
               * @param pricePerToken Price per token unit
               * @param takerAmount Number of token units taken (should only be greater than 1 for ERC1155)
               * @param fees Protocol and taker fee set by the transaction
               */
              function _computeFees(
                  uint256 pricePerToken,
                  uint256 takerAmount,
                  FeeRate memory makerFee,
                  Fees memory fees
              )
                  internal
                  pure
                  returns (
                      uint256 totalPrice,
                      uint256 protocolFeeAmount,
                      uint256 makerFeeAmount,
                      uint256 takerFeeAmount
                  )
              {
                  totalPrice = pricePerToken * takerAmount;
                  makerFeeAmount = (totalPrice * makerFee.rate) / _BASIS_POINTS;
                  takerFeeAmount = (totalPrice * fees.takerFee.rate) / _BASIS_POINTS;
                  protocolFeeAmount = (totalPrice * fees.protocolFee.rate) / _BASIS_POINTS;
              }
              /*//////////////////////////////////////////////////////////////
                                  EXECUTION FUNCTIONS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Execute the transfers by first attempting the nonfungible transfers, for the successful transfers sum the fungible transfers by the recipients and execute
               * @param executionBatch Execution batch struct
               * @param fungibleTransfers Fungible transfers struct
               * @param fees Protocol, maker, taker fees (note: makerFee will be inaccurate at this point in execution)
               * @param orderType Order type
               */
              function _executeBatchTransfer(
                  bytes memory executionBatch,
                  FungibleTransfers memory fungibleTransfers,
                  Fees memory fees,
                  OrderType orderType
              ) internal {
                  uint256 batchLength;
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      batchLength := mload(add(calldataPointer, ExecutionBatch_length_offset))
                  }
                  if (batchLength > 0) {
                      bool[] memory successfulTransfers = _executeNonfungibleTransfers(
                          executionBatch,
                          batchLength
                      );
                      uint256 transfersLength = successfulTransfers.length;
                      for (uint256 i; i < transfersLength; ) {
                          if (successfulTransfers[i]) {
                              AtomicExecution memory execution = fungibleTransfers.executions[i];
                              FeeRate memory makerFee;
                              uint256 price;
                              unchecked {
                                  if (orderType == OrderType.ASK) {
                                      fungibleTransfers.makerTransfers[execution.makerId] += execution
                                          .sellerAmount; // amount that needs to be sent *to* the order maker
                                      price =
                                          execution.sellerAmount +
                                          execution.protocolFeeAmount +
                                          execution.makerFeeAmount;
                                  } else {
                                      fungibleTransfers.makerTransfers[execution.makerId] +=
                                          execution.protocolFeeAmount +
                                          execution.makerFeeAmount +
                                          execution.takerFeeAmount +
                                          execution.sellerAmount; // amount that needs to be taken *from* the order maker
                                      price =
                                          execution.sellerAmount +
                                          execution.protocolFeeAmount +
                                          execution.takerFeeAmount;
                                  }
                                  fungibleTransfers.totalSellerTransfer += execution.sellerAmount; // only for bids
                                  fungibleTransfers.totalProtocolFee += execution.protocolFeeAmount;
                                  fungibleTransfers.totalTakerFee += execution.takerFeeAmount;
                                  fungibleTransfers.feeTransfers[execution.makerFeeRecipientId] += execution
                                      .makerFeeAmount;
                                  makerFee = FeeRate(
                                      fungibleTransfers.feeRecipients[execution.makerFeeRecipientId],
                                      uint16((execution.makerFeeAmount * _BASIS_POINTS) / price)
                                  );
                              }
                              /* Commit state updates. */
                              StateUpdate memory stateUpdate = fungibleTransfers.executions[i].stateUpdate;
                              {
                                  address trader = stateUpdate.trader;
                                  bytes32 hash = stateUpdate.hash;
                                  uint256 index = stateUpdate.index;
                                  uint256 _amountTaken = amountTaken[trader][hash][index];
                                  uint256 newAmountTaken = _amountTaken + stateUpdate.value;
                                  /* Overfulfilled Listings should be caught prior to inserting into the batch, but this check prevents any misuse. */
                                  if (newAmountTaken <= stateUpdate.maxAmount) {
                                      amountTaken[trader][hash][index] = newAmountTaken;
                                  } else {
                                      revert OrderFulfilled();
                                  }
                              }
                              _emitExecutionEventFromBatch(
                                  executionBatch,
                                  price,
                                  makerFee,
                                  fees,
                                  stateUpdate,
                                  orderType,
                                  i
                              );
                          }
                          unchecked {
                              ++i;
                          }
                      }
                      if (orderType == OrderType.ASK) {
                          /* Transfer the payments to the sellers. */
                          uint256 makersLength = fungibleTransfers.makerId + 1;
                          for (uint256 i; i < makersLength; ) {
                              _transferETH(fungibleTransfers.makers[i], fungibleTransfers.makerTransfers[i]);
                              unchecked {
                                  ++i;
                              }
                          }
                          /* Transfer the fees to the fee recipients. */
                          uint256 feesLength = fungibleTransfers.feeRecipientId + 1;
                          for (uint256 i; i < feesLength; ) {
                              _transferETH(
                                  fungibleTransfers.feeRecipients[i],
                                  fungibleTransfers.feeTransfers[i]
                              );
                              unchecked {
                                  ++i;
                              }
                          }
                          /* Transfer the protocol fees. */
                          _transferETH(fees.protocolFee.recipient, fungibleTransfers.totalProtocolFee);
                          /* Transfer the taker fees. */
                          _transferETH(fees.takerFee.recipient, fungibleTransfers.totalTakerFee);
                      } else {
                          /* Take the pool funds from the buyers. */
                          uint256 makersLength = fungibleTransfers.makerId + 1;
                          for (uint256 i; i < makersLength; ) {
                              _transferPool(
                                  fungibleTransfers.makers[i],
                                  address(this),
                                  fungibleTransfers.makerTransfers[i]
                              );
                              unchecked {
                                  ++i;
                              }
                          }
                          /* Transfer the payment to the seller. */
                          _transferPool(address(this), msg.sender, fungibleTransfers.totalSellerTransfer);
                          /* Transfer the fees to the fee recipients. */
                          uint256 feesLength = fungibleTransfers.feeRecipientId + 1;
                          for (uint256 i; i < feesLength; ) {
                              _transferPool(
                                  address(this),
                                  fungibleTransfers.feeRecipients[i],
                                  fungibleTransfers.feeTransfers[i]
                              );
                              unchecked {
                                  ++i;
                              }
                          }
                          /* Transfer the protocol fees. */
                          _transferPool(
                              address(this),
                              fees.protocolFee.recipient,
                              fungibleTransfers.totalProtocolFee
                          );
                          /* Transfer the taker fees. */
                          _transferPool(
                              address(this),
                              fees.takerFee.recipient,
                              fungibleTransfers.totalTakerFee
                          );
                      }
                  }
              }
              /**
               * @notice Attempt to execute a series of nonfungible transfers through the delegate; reverts will be skipped
               * @param executionBatch Execution batch struct
               * @param batchIndex Current available transfer slot in the batch
               * @return Array indicating which transfers were successful
               */
              function _executeNonfungibleTransfers(
                  bytes memory executionBatch,
                  uint256 batchIndex
              ) internal returns (bool[] memory) {
                  address delegate = _DELEGATE;
                  /* Initialize the memory space for the successful transfers array returned from the Delegate call. */
                  uint256 successfulTransfersPointer;
                  assembly {
                      successfulTransfersPointer := mload(Memory_pointer)
                      /* Need to shift the free memory pointer ahead one word to account for the array pointer returned from the call. */
                      mstore(Memory_pointer, add(successfulTransfersPointer, One_word))
                  }
                  bool[] memory successfulTransfers = new bool[](batchIndex);
                  assembly {
                      let size := mload(executionBatch)
                      let selectorPointer := add(executionBatch, ExecutionBatch_selector_offset)
                      mstore(selectorPointer, shr(Bytes4_shift, Delegate_transfer_selector))
                      let success := call(
                          gas(),
                          delegate,
                          0,
                          add(selectorPointer, Delegate_transfer_calldata_offset),
                          sub(size, Delegate_transfer_calldata_offset),
                          successfulTransfersPointer,
                          add(0x40, mul(batchIndex, One_word))
                      )
                  }
                  return successfulTransfers;
              }
              /*//////////////////////////////////////////////////////////////
                                  TRANSFER FUNCTIONS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Transfer ETH
               * @param to Recipient address
               * @param amount Amount of ETH to send
               */
              function _transferETH(address to, uint256 amount) internal {
                  if (amount > 0) {
                      bool success;
                      assembly {
                          success := call(gas(), to, amount, 0, 0, 0, 0)
                      }
                      if (!success) {
                          revert ETHTransferFailed();
                      }
                  }
              }
              /**
               * @notice Transfer pool funds on behalf of a user
               * @param from Sender address
               * @param to Recipient address
               * @param amount Amount to send
               */
              function _transferPool(address from, address to, uint256 amount) internal {
                  if (amount > 0) {
                      bool success;
                      address pool = _POOL;
                      assembly {
                          let x := mload(Memory_pointer)
                          mstore(x, ERC20_transferFrom_selector)
                          mstore(add(x, ERC20_transferFrom_from_offset), from)
                          mstore(add(x, ERC20_transferFrom_to_offset), to)
                          mstore(add(x, ERC20_transferFrom_amount_offset), amount)
                          success := call(gas(), pool, 0, x, ERC20_transferFrom_size, 0, 0)
                      }
                      if (!success) {
                          revert PoolTransferFailed();
                      }
                  }
              }
              /**
               * @notice Deposit ETH to user's pool funds
               * @param to Recipient address
               * @param amount Amount of ETH to deposit
               */
              function _depositPool(address to, uint256 amount) internal {
                  bool success;
                  address pool = _POOL;
                  assembly {
                      let x := mload(Memory_pointer)
                      mstore(x, Pool_deposit_selector)
                      mstore(add(x, Pool_deposit_user_offset), to)
                      success := call(gas(), pool, amount, x, Pool_deposit_size, 0, 0)
                  }
                  if (!success) {
                      revert PoolDepositFailed();
                  }
              }
              /**
               * @notice Withdraw ETH from user's pool funds
               * @param from Address to withdraw from
               * @param amount Amount of ETH to withdraw
               */
              function _withdrawFromPool(address from, uint256 amount) internal {
                  bool success;
                  address pool = _POOL;
                  assembly {
                      let x := mload(Memory_pointer)
                      mstore(x, Pool_withdrawFrom_selector)
                      mstore(add(x, Pool_withdrawFrom_from_offset), from)
                      mstore(add(x, Pool_withdrawFrom_to_offset), address())
                      mstore(add(x, Pool_withdrawFrom_amount_offset), amount)
                      success := call(gas(), pool, 0, x, Pool_withdrawFrom_size, 0, 0)
                  }
                  if (!success) {
                      revert PoolWithdrawFromFailed();
                  }
              }
              /*//////////////////////////////////////////////////////////////
                                    EVENT EMITTERS
              //////////////////////////////////////////////////////////////*/
              /**
               * @notice Emit Execution event from a single execution
               * @param executionBatch Execution batch struct
               * @param price Price of the token purchased
               * @param fees Protocol, maker, and taker fees taken
               * @param stateUpdate Fulfillment to be recorded with a successful execution
               * @param orderType Order type
               * @param transferIndex Index of the transfer corresponding to the execution
               */
              function _emitExecutionEventFromBatch(
                  bytes memory executionBatch,
                  uint256 price,
                  FeeRate memory makerFee,
                  Fees memory fees,
                  StateUpdate memory stateUpdate,
                  OrderType orderType,
                  uint256 transferIndex
              ) internal {
                  Transfer memory transfer;
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      let transfersOffset := mload(add(calldataPointer, ExecutionBatch_transfers_pointer_offset))
                      transfer := add(
                          add(calldataPointer, add(transfersOffset, One_word)),
                          mul(transferIndex, Transfer_size)
                      )
                  }
                  _emitOptimalExecutionEvent(
                      transfer,
                      stateUpdate.hash,
                      stateUpdate.index,
                      price,
                      makerFee,
                      fees,
                      orderType
                  );
              }
              /**
               * @notice Emit the Execution event that minimizes the number of bytes in the log
               * @param transfer The nft transfer
               * @param orderHash Order hash
               * @param listingIndex Index of the listing being fulfilled within the order
               * @param price Price of the token purchased
               * @param makerFee Maker fees taken
               * @param fees Protocol, and taker fees taken
               * @param orderType Order type
               */
              function _emitOptimalExecutionEvent(
                  Transfer memory transfer,
                  bytes32 orderHash,
                  uint256 listingIndex,
                  uint256 price,
                  FeeRate memory makerFee,
                  Fees memory fees,
                  OrderType orderType
              ) internal {
                  if (
                      // see _insertNonfungibleTransfer; ERC721 transfers don't set the transfer amount,
                      // so we can assume the transfer amount and not check it
                      transfer.assetType == AssetType.ERC721 &&
                      fees.protocolFee.rate == 0 &&
                      transfer.id < 1 << (11 * 8) &&
                      listingIndex < 1 << (1 * 8) &&
                      price < 1 << (11 * 8)
                  ) {
                      if (makerFee.rate == 0 && fees.takerFee.rate == 0) {
                          emit Execution721Packed(
                              orderHash,
                              packTokenIdListingIndexTrader(transfer.id, listingIndex, transfer.trader),
                              packTypePriceCollection(orderType, price, transfer.collection)
                          );
                          return;
                      } else if (makerFee.rate == 0) {
                          emit Execution721TakerFeePacked(
                              orderHash,
                              packTokenIdListingIndexTrader(transfer.id, listingIndex, transfer.trader),
                              packTypePriceCollection(orderType, price, transfer.collection),
                              packFee(fees.takerFee)
                          );
                          return;
                      } else if (fees.takerFee.rate == 0) {
                          emit Execution721MakerFeePacked(
                              orderHash,
                              packTokenIdListingIndexTrader(transfer.id, listingIndex, transfer.trader),
                              packTypePriceCollection(orderType, price, transfer.collection),
                              packFee(makerFee)
                          );
                          return;
                      }
                  }
                  emit Execution({
                      transfer: transfer,
                      orderHash: orderHash,
                      listingIndex: listingIndex,
                      price: price,
                      makerFee: makerFee,
                      fees: fees,
                      orderType: orderType
                  });
              }
              /**
               * @notice Emit Execution event from a single execution
               * @param executionBatch Execution batch struct
               * @param order Order being fulfilled
               * @param listingIndex Index of the listing being fulfilled within the order
               * @param price Price of the token purchased
               * @param fees Protocol, and taker fees taken
               * @param orderType Order type
               */
              function _emitExecutionEvent(
                  bytes memory executionBatch,
                  Order memory order,
                  uint256 listingIndex,
                  uint256 price,
                  Fees memory fees,
                  OrderType orderType
              ) internal {
                  Transfer memory transfer;
                  assembly {
                      let calldataPointer := add(executionBatch, ExecutionBatch_calldata_offset)
                      let transfersOffset := mload(add(calldataPointer, ExecutionBatch_transfers_pointer_offset))
                      transfer := add(calldataPointer, add(transfersOffset, One_word))
                  }
                  _emitOptimalExecutionEvent(
                      transfer,
                      bytes32(order.salt),
                      listingIndex,
                      price,
                      order.makerFee,
                      fees,
                      orderType
                  );
              }
              function packTokenIdListingIndexTrader(
                  uint256 tokenId,
                  uint256 listingIndex,
                  address trader
              ) private pure returns (uint256) {
                  return (tokenId << (21 * 8)) | (listingIndex << (20 * 8)) | uint160(trader);
              }
              function packTypePriceCollection(
                  OrderType orderType,
                  uint256 price,
                  address collection
              ) private pure returns (uint256) {
                  return (uint256(orderType) << (31 * 8)) | (price << (20 * 8)) | uint160(collection);
              }
              function packFee(FeeRate memory fee) private pure returns (uint256) {
                  return (uint256(fee.rate) << (20 * 8)) | uint160(fee.recipient);
              }
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          uint256 constant Bytes1_shift = 0xf8;
          uint256 constant Bytes4_shift = 0xe0;
          uint256 constant Bytes20_shift = 0x60;
          uint256 constant One_word = 0x20;
          uint256 constant Memory_pointer = 0x40;
          uint256 constant AssetType_ERC721 = 0;
          uint256 constant AssetType_ERC1155 = 1;
          uint256 constant OrderType_ASK = 0;
          uint256 constant OrderType_BID = 1;
          uint256 constant Pool_withdrawFrom_selector = 0x9555a94200000000000000000000000000000000000000000000000000000000;
          uint256 constant Pool_withdrawFrom_from_offset = 0x04;
          uint256 constant Pool_withdrawFrom_to_offset = 0x24;
          uint256 constant Pool_withdrawFrom_amount_offset = 0x44;
          uint256 constant Pool_withdrawFrom_size = 0x64;
          uint256 constant Pool_deposit_selector = 0xf340fa0100000000000000000000000000000000000000000000000000000000;
          uint256 constant Pool_deposit_user_offset = 0x04;
          uint256 constant Pool_deposit_size = 0x24;
          uint256 constant ERC20_transferFrom_selector = 0x23b872dd00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC721_safeTransferFrom_selector = 0x42842e0e00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC1155_safeTransferFrom_selector = 0xf242432a00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC20_transferFrom_size = 0x64;
          uint256 constant ERC721_safeTransferFrom_size = 0x64;
          uint256 constant ERC1155_safeTransferFrom_size = 0xc4;
          uint256 constant OracleSignatures_size = 0x59;
          uint256 constant OracleSignatures_s_offset = 0x20;
          uint256 constant OracleSignatures_v_offset = 0x40;
          uint256 constant OracleSignatures_blockNumber_offset = 0x41;
          uint256 constant OracleSignatures_oracle_offset = 0x45;
          uint256 constant Signatures_size = 0x41;
          uint256 constant Signatures_s_offset = 0x20;
          uint256 constant Signatures_v_offset = 0x40;
          uint256 constant ERC20_transferFrom_from_offset = 0x4;
          uint256 constant ERC20_transferFrom_to_offset = 0x24;
          uint256 constant ERC20_transferFrom_amount_offset = 0x44;
          uint256 constant ERC721_safeTransferFrom_from_offset = 0x4;
          uint256 constant ERC721_safeTransferFrom_to_offset = 0x24;
          uint256 constant ERC721_safeTransferFrom_id_offset = 0x44;
          uint256 constant ERC1155_safeTransferFrom_from_offset = 0x4;
          uint256 constant ERC1155_safeTransferFrom_to_offset = 0x24;
          uint256 constant ERC1155_safeTransferFrom_id_offset = 0x44;
          uint256 constant ERC1155_safeTransferFrom_amount_offset = 0x64;
          uint256 constant ERC1155_safeTransferFrom_data_pointer_offset = 0x84;
          uint256 constant ERC1155_safeTransferFrom_data_offset = 0xa4;
          uint256 constant Delegate_transfer_selector = 0xa1ccb98e00000000000000000000000000000000000000000000000000000000;
          uint256 constant Delegate_transfer_calldata_offset = 0x1c;
          uint256 constant Order_size = 0x100;
          uint256 constant Order_trader_offset = 0x00;
          uint256 constant Order_collection_offset = 0x20;
          uint256 constant Order_listingsRoot_offset = 0x40;
          uint256 constant Order_numberOfListings_offset = 0x60;
          uint256 constant Order_expirationTime_offset = 0x80;
          uint256 constant Order_assetType_offset = 0xa0;
          uint256 constant Order_makerFee_offset = 0xc0;
          uint256 constant Order_salt_offset = 0xe0;
          uint256 constant Exchange_size = 0x80;
          uint256 constant Exchange_askIndex_offset = 0x00;
          uint256 constant Exchange_proof_offset = 0x20;
          uint256 constant Exchange_maker_offset = 0x40;
          uint256 constant Exchange_taker_offset = 0x60;
          uint256 constant BidExchange_size = 0x80;
          uint256 constant BidExchange_askIndex_offset = 0x00;
          uint256 constant BidExchange_proof_offset = 0x20;
          uint256 constant BidExchange_maker_offset = 0x40;
          uint256 constant BidExchange_taker_offset = 0x60;
          uint256 constant Listing_size = 0x80;
          uint256 constant Listing_index_offset = 0x00;
          uint256 constant Listing_tokenId_offset = 0x20;
          uint256 constant Listing_amount_offset = 0x40;
          uint256 constant Listing_price_offset = 0x60;
          uint256 constant Taker_size = 0x40;
          uint256 constant Taker_tokenId_offset = 0x00;
          uint256 constant Taker_amount_offset = 0x20;
          uint256 constant StateUpdate_size = 0x80;
          uint256 constant StateUpdate_salt_offset = 0x20;
          uint256 constant StateUpdate_leaf_offset = 0x40;
          uint256 constant StateUpdate_value_offset = 0x60;
          uint256 constant Transfer_size = 0xa0;
          uint256 constant Transfer_trader_offset = 0x00;
          uint256 constant Transfer_id_offset = 0x20;
          uint256 constant Transfer_amount_offset = 0x40;
          uint256 constant Transfer_collection_offset = 0x60;
          uint256 constant Transfer_assetType_offset = 0x80;
          uint256 constant ExecutionBatch_selector_offset = 0x20;
          uint256 constant ExecutionBatch_calldata_offset = 0x40;
          uint256 constant ExecutionBatch_base_size = 0xa0; // size of the executionBatch without the flattened dynamic elements
          uint256 constant ExecutionBatch_taker_offset = 0x00;
          uint256 constant ExecutionBatch_orderType_offset = 0x20;
          uint256 constant ExecutionBatch_transfers_pointer_offset = 0x40;
          uint256 constant ExecutionBatch_length_offset = 0x60;
          uint256 constant ExecutionBatch_transfers_offset = 0x80;
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.17;
          struct TakeAsk {
              Order[] orders;
              Exchange[] exchanges;
              FeeRate takerFee;
              bytes signatures;
              address tokenRecipient;
          }
          struct TakeAskSingle {
              Order order;
              Exchange exchange;
              FeeRate takerFee;
              bytes signature;
              address tokenRecipient;
          }
          struct TakeBid {
              Order[] orders;
              Exchange[] exchanges;
              FeeRate takerFee;
              bytes signatures;
          }
          struct TakeBidSingle {
              Order order;
              Exchange exchange;
              FeeRate takerFee;
              bytes signature;
          }
          enum AssetType {
              ERC721,
              ERC1155
          }
          enum OrderType {
              ASK,
              BID
          }
          struct Exchange { // Size: 0x80
              uint256 index; // 0x00
              bytes32[] proof; // 0x20
              Listing listing; // 0x40
              Taker taker; // 0x60
          }
          struct Listing { // Size: 0x80
              uint256 index; // 0x00
              uint256 tokenId; // 0x20
              uint256 amount; // 0x40
              uint256 price; // 0x60
          }
          struct Taker { // Size: 0x40
              uint256 tokenId; // 0x00
              uint256 amount; // 0x20
          }
          struct Order { // Size: 0x100
              address trader; // 0x00
              address collection; // 0x20
              bytes32 listingsRoot; // 0x40
              uint256 numberOfListings; // 0x60
              uint256 expirationTime; // 0x80
              AssetType assetType; // 0xa0
              FeeRate makerFee; // 0xc0
              uint256 salt; // 0xe0
          }
          /*
          Reference only; struct is composed manually using calldata formatting in execution
          struct ExecutionBatch { // Size: 0x80
              address taker; // 0x00
              OrderType orderType; // 0x20
              Transfer[] transfers; // 0x40
              uint256 length; // 0x60
          }
          */
          struct Transfer { // Size: 0xa0
              address trader; // 0x00
              uint256 id; // 0x20
              uint256 amount; // 0x40
              address collection; // 0x60
              AssetType assetType; // 0x80
          }
          struct FungibleTransfers {
              uint256 totalProtocolFee;
              uint256 totalSellerTransfer;
              uint256 totalTakerFee;
              uint256 feeRecipientId;
              uint256 makerId;
              address[] feeRecipients;
              address[] makers;
              uint256[] makerTransfers;
              uint256[] feeTransfers;
              AtomicExecution[] executions;
          }
          struct AtomicExecution { // Size: 0xe0
              uint256 makerId; // 0x00
              uint256 sellerAmount; // 0x20
              uint256 makerFeeRecipientId; // 0x40
              uint256 makerFeeAmount; // 0x60
              uint256 takerFeeAmount; // 0x80
              uint256 protocolFeeAmount; // 0xa0
              StateUpdate stateUpdate; // 0xc0
          }
          struct StateUpdate { // Size: 0xa0
              address trader; // 0x00
              bytes32 hash; // 0x20
              uint256 index; // 0x40
              uint256 value; // 0x60
              uint256 maxAmount; // 0x80
          }
          struct Fees { // Size: 0x40
              FeeRate protocolFee; // 0x00
              FeeRate takerFee; // 0x20
          }
          struct FeeRate { // Size: 0x40
              address recipient; // 0x00
              uint16 rate; // 0x20
          }
          struct Cancel {
              bytes32 hash;
              uint256 index;
              uint256 amount;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import {
              TakeAsk,
              TakeBid,
              TakeAskSingle,
              TakeBidSingle,
              Order,
              Exchange,
              Fees,
              FeeRate,
              AssetType,
              OrderType,
              Transfer,
              FungibleTransfers,
              StateUpdate,
              Cancel,
              Listing
          } from "../lib/Structs.sol";
          interface IBlurExchangeV2 {
              error InsufficientFunds();
              error TokenTransferFailed();
              error InvalidOrder();
              error ProtocolFeeTooHigh();
              event NewProtocolFee(address indexed recipient, uint16 indexed rate);
              event NewGovernor(address indexed governor);
              event NewBlockRange(uint256 blockRange);
              event CancelTrade(address indexed user, bytes32 hash, uint256 index, uint256 amount);
              event NonceIncremented(address indexed user, uint256 newNonce);
              event SetOracle(address indexed user, bool approved);
              function initialize() external;
              function setProtocolFee(address recipient, uint16 rate) external;
              function setGovernor(address _governor) external;
              function setOracle(address oracle, bool approved) external;
              function setBlockRange(uint256 _blockRange) external;
              function cancelTrades(Cancel[] memory cancels) external;
              function incrementNonce() external;
              /*//////////////////////////////////////////////////////////////
                                    EXECUTION WRAPPERS
              //////////////////////////////////////////////////////////////*/
              function takeAsk(TakeAsk memory inputs, bytes calldata oracleSignature) external payable;
              function takeBid(TakeBid memory inputs, bytes calldata oracleSignature) external;
              function takeAskSingle(TakeAskSingle memory inputs, bytes calldata oracleSignature) external payable;
              function takeBidSingle(TakeBidSingle memory inputs, bytes calldata oracleSignature) external;
              /*//////////////////////////////////////////////////////////////
                                  EXECUTION POOL WRAPPERS
              //////////////////////////////////////////////////////////////*/
              function takeAskSinglePool(
                  TakeAskSingle memory inputs,
                  bytes calldata oracleSignature,
                  uint256 amountToWithdraw
              ) external payable;
              function takeAskPool(
                  TakeAsk memory inputs,
                  bytes calldata oracleSignature,
                  uint256 amountToWithdraw
              ) external payable;
          }
          // SPDX-License-Identifier: AGPL-3.0-only
          pragma solidity 0.8.17;
          /// @notice Upgradeable gas optimized reentrancy protection for smart contracts.
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/ReentrancyGuard.sol)
          abstract contract ReentrancyGuardUpgradeable {
              uint256 private locked;
              function __Reentrancy_init() internal {
                  locked = 1;
              }
              modifier nonReentrant() virtual {
                  require(locked == 1, "REENTRANCY");
                  locked = 2;
                  _;
                  locked = 1;
              }
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
          pragma solidity ^0.8.0;
          import "../utils/ContextUpgradeable.sol";
          import "../proxy/utils/Initializable.sol";
          /**
           * @dev Contract module which provides a basic access control mechanism, where
           * there is an account (an owner) that can be granted exclusive access to
           * specific functions.
           *
           * By default, the owner account will be the one that deploys the contract. This
           * can later be changed with {transferOwnership}.
           *
           * This module is used through inheritance. It will make available the modifier
           * `onlyOwner`, which can be applied to your functions to restrict their use to
           * the owner.
           */
          abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
              address private _owner;
              event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
              /**
               * @dev Initializes the contract setting the deployer as the initial owner.
               */
              function __Ownable_init() internal onlyInitializing {
                  __Ownable_init_unchained();
              }
              function __Ownable_init_unchained() internal onlyInitializing {
                  _transferOwnership(_msgSender());
              }
              /**
               * @dev Throws if called by any account other than the owner.
               */
              modifier onlyOwner() {
                  _checkOwner();
                  _;
              }
              /**
               * @dev Returns the address of the current owner.
               */
              function owner() public view virtual returns (address) {
                  return _owner;
              }
              /**
               * @dev Throws if the sender is not the owner.
               */
              function _checkOwner() internal view virtual {
                  require(owner() == _msgSender(), "Ownable: caller is not the owner");
              }
              /**
               * @dev Leaves the contract without owner. It will not be possible to call
               * `onlyOwner` functions anymore. Can only be called by the current owner.
               *
               * NOTE: Renouncing ownership will leave the contract without an owner,
               * thereby removing any functionality that is only available to the owner.
               */
              function renounceOwnership() public virtual onlyOwner {
                  _transferOwnership(address(0));
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Can only be called by the current owner.
               */
              function transferOwnership(address newOwner) public virtual onlyOwner {
                  require(newOwner != address(0), "Ownable: new owner is the zero address");
                  _transferOwnership(newOwner);
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Internal function without access restriction.
               */
              function _transferOwnership(address newOwner) internal virtual {
                  address oldOwner = _owner;
                  _owner = newOwner;
                  emit OwnershipTransferred(oldOwner, newOwner);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)
          pragma solidity ^0.8.2;
          import "../../utils/AddressUpgradeable.sol";
          /**
           * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
           * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
           * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
           * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
           *
           * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
           * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
           * case an upgrade adds a module that needs to be initialized.
           *
           * For example:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * contract MyToken is ERC20Upgradeable {
           *     function initialize() initializer public {
           *         __ERC20_init("MyToken", "MTK");
           *     }
           * }
           * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
           *     function initializeV2() reinitializer(2) public {
           *         __ERC20Permit_init("MyToken");
           *     }
           * }
           * ```
           *
           * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
           * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
           *
           * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
           * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
           *
           * [CAUTION]
           * ====
           * Avoid leaving a contract uninitialized.
           *
           * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
           * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
           * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * /// @custom:oz-upgrades-unsafe-allow constructor
           * constructor() {
           *     _disableInitializers();
           * }
           * ```
           * ====
           */
          abstract contract Initializable {
              /**
               * @dev Indicates that the contract has been initialized.
               * @custom:oz-retyped-from bool
               */
              uint8 private _initialized;
              /**
               * @dev Indicates that the contract is in the process of being initialized.
               */
              bool private _initializing;
              /**
               * @dev Triggered when the contract has been initialized or reinitialized.
               */
              event Initialized(uint8 version);
              /**
               * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
               * `onlyInitializing` functions can be used to initialize parent contracts.
               *
               * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
               * constructor.
               *
               * Emits an {Initialized} event.
               */
              modifier initializer() {
                  bool isTopLevelCall = !_initializing;
                  require(
                      (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
                      "Initializable: contract is already initialized"
                  );
                  _initialized = 1;
                  if (isTopLevelCall) {
                      _initializing = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      _initializing = false;
                      emit Initialized(1);
                  }
              }
              /**
               * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
               * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
               * used to initialize parent contracts.
               *
               * A reinitializer may be used after the original initialization step. This is essential to configure modules that
               * are added through upgrades and that require initialization.
               *
               * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
               * cannot be nested. If one is invoked in the context of another, execution will revert.
               *
               * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
               * a contract, executing them in the right order is up to the developer or operator.
               *
               * WARNING: setting the version to 255 will prevent any future reinitialization.
               *
               * Emits an {Initialized} event.
               */
              modifier reinitializer(uint8 version) {
                  require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
                  _initialized = version;
                  _initializing = true;
                  _;
                  _initializing = false;
                  emit Initialized(version);
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} and {reinitializer} modifiers, directly or indirectly.
               */
              modifier onlyInitializing() {
                  require(_initializing, "Initializable: contract is not initializing");
                  _;
              }
              /**
               * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
               * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
               * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
               * through proxies.
               *
               * Emits an {Initialized} event the first time it is successfully executed.
               */
              function _disableInitializers() internal virtual {
                  require(!_initializing, "Initializable: contract is initializing");
                  if (_initialized < type(uint8).max) {
                      _initialized = type(uint8).max;
                      emit Initialized(type(uint8).max);
                  }
              }
              /**
               * @dev Returns the highest version that has been initialized. See {reinitializer}.
               */
              function _getInitializedVersion() internal view returns (uint8) {
                  return _initialized;
              }
              /**
               * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
               */
              function _isInitializing() internal view returns (bool) {
                  return _initializing;
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
          pragma solidity ^0.8.0;
          import "../proxy/utils/Initializable.sol";
          /**
           * @dev Provides information about the current execution context, including the
           * sender of the transaction and its data. While these are generally available
           * via msg.sender and msg.data, they should not be accessed in such a direct
           * manner, since when dealing with meta-transactions the account sending and
           * paying for execution may not be the actual sender (as far as an application
           * is concerned).
           *
           * This contract is only required for intermediate, library-like contracts.
           */
          abstract contract ContextUpgradeable is Initializable {
              function __Context_init() internal onlyInitializing {
              }
              function __Context_init_unchained() internal onlyInitializing {
              }
              function _msgSender() internal view virtual returns (address) {
                  return msg.sender;
              }
              function _msgData() internal view virtual returns (bytes calldata) {
                  return msg.data;
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
          pragma solidity ^0.8.1;
          /**
           * @dev Collection of functions related to the address type
           */
          library AddressUpgradeable {
              /**
               * @dev Returns true if `account` is a contract.
               *
               * [IMPORTANT]
               * ====
               * It is unsafe to assume that an address for which this function returns
               * false is an externally-owned account (EOA) and not a contract.
               *
               * Among others, `isContract` will return false for the following
               * types of addresses:
               *
               *  - an externally-owned account
               *  - a contract in construction
               *  - an address where a contract will be created
               *  - an address where a contract lived, but was destroyed
               * ====
               *
               * [IMPORTANT]
               * ====
               * You shouldn't rely on `isContract` to protect against flash loan attacks!
               *
               * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
               * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
               * constructor.
               * ====
               */
              function isContract(address account) internal view returns (bool) {
                  // This method relies on extcodesize/address.code.length, which returns 0
                  // for contracts in construction, since the code is only stored at the end
                  // of the constructor execution.
                  return account.code.length > 0;
              }
              /**
               * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
               * `recipient`, forwarding all available gas and reverting on errors.
               *
               * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
               * of certain opcodes, possibly making contracts go over the 2300 gas limit
               * imposed by `transfer`, making them unable to receive funds via
               * `transfer`. {sendValue} removes this limitation.
               *
               * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
               *
               * IMPORTANT: because control is transferred to `recipient`, care must be
               * taken to not create reentrancy vulnerabilities. Consider using
               * {ReentrancyGuard} or the
               * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
               */
              function sendValue(address payable recipient, uint256 amount) internal {
                  require(address(this).balance >= amount, "Address: insufficient balance");
                  (bool success, ) = recipient.call{value: amount}("");
                  require(success, "Address: unable to send value, recipient may have reverted");
              }
              /**
               * @dev Performs a Solidity function call using a low level `call`. A
               * plain `call` is an unsafe replacement for a function call: use this
               * function instead.
               *
               * If `target` reverts with a revert reason, it is bubbled up by this
               * function (like regular Solidity function calls).
               *
               * Returns the raw returned data. To convert to the expected return value,
               * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
               *
               * Requirements:
               *
               * - `target` must be a contract.
               * - calling `target` with `data` must not revert.
               *
               * _Available since v3.1._
               */
              function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, "Address: low-level call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
               * `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but also transferring `value` wei to `target`.
               *
               * Requirements:
               *
               * - the calling contract must have an ETH balance of at least `value`.
               * - the called Solidity function must be `payable`.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
              }
              /**
               * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
               * with `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  require(address(this).balance >= value, "Address: insufficient balance for call");
                  (bool success, bytes memory returndata) = target.call{value: value}(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                  return functionStaticCall(target, data, "Address: low-level static call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  (bool success, bytes memory returndata) = target.staticcall(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
               * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
               *
               * _Available since v4.8._
               */
              function verifyCallResultFromTarget(
                  address target,
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  if (success) {
                      if (returndata.length == 0) {
                          // only check isContract if the call was successful and the return data is empty
                          // otherwise we already know that it was a contract
                          require(isContract(target), "Address: call to non-contract");
                      }
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              /**
               * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
               * revert reason or using the provided one.
               *
               * _Available since v4.3._
               */
              function verifyCallResult(
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal pure returns (bytes memory) {
                  if (success) {
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              function _revert(bytes memory returndata, string memory errorMessage) private pure {
                  // Look for revert reason and bubble it up if present
                  if (returndata.length > 0) {
                      // The easiest way to bubble the revert reason is using memory via assembly
                      /// @solidity memory-safe-assembly
                      assembly {
                          let returndata_size := mload(returndata)
                          revert(add(32, returndata), returndata_size)
                      }
                  } else {
                      revert(errorMessage);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
           * proxy whose upgrades are fully controlled by the current implementation.
           */
          interface IERC1822ProxiableUpgradeable {
              /**
               * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
               * address.
               *
               * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
               * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
               * function revert if invoked through a proxy.
               */
              function proxiableUUID() external view returns (bytes32);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.3) (proxy/ERC1967/ERC1967Upgrade.sol)
          pragma solidity ^0.8.2;
          import "../beacon/IBeaconUpgradeable.sol";
          import "../../interfaces/IERC1967Upgradeable.sol";
          import "../../interfaces/draft-IERC1822Upgradeable.sol";
          import "../../utils/AddressUpgradeable.sol";
          import "../../utils/StorageSlotUpgradeable.sol";
          import "../utils/Initializable.sol";
          /**
           * @dev This abstract contract provides getters and event emitting update functions for
           * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
           *
           * _Available since v4.1._
           *
           * @custom:oz-upgrades-unsafe-allow delegatecall
           */
          abstract contract ERC1967UpgradeUpgradeable is Initializable, IERC1967Upgradeable {
              function __ERC1967Upgrade_init() internal onlyInitializing {
              }
              function __ERC1967Upgrade_init_unchained() internal onlyInitializing {
              }
              // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
              bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;
              /**
               * @dev Storage slot with the address of the current implementation.
               * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
              /**
               * @dev Returns the current implementation address.
               */
              function _getImplementation() internal view returns (address) {
                  return StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 implementation slot.
               */
              function _setImplementation(address newImplementation) private {
                  require(AddressUpgradeable.isContract(newImplementation), "ERC1967: new implementation is not a contract");
                  StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
              }
              /**
               * @dev Perform implementation upgrade
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeTo(address newImplementation) internal {
                  _setImplementation(newImplementation);
                  emit Upgraded(newImplementation);
              }
              /**
               * @dev Perform implementation upgrade with additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCall(
                  address newImplementation,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  _upgradeTo(newImplementation);
                  if (data.length > 0 || forceCall) {
                      _functionDelegateCall(newImplementation, data);
                  }
              }
              /**
               * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
               *
               * Emits an {Upgraded} event.
               */
              function _upgradeToAndCallUUPS(
                  address newImplementation,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  // Upgrades from old implementations will perform a rollback test. This test requires the new
                  // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
                  // this special case will break upgrade paths from old UUPS implementation to new ones.
                  if (StorageSlotUpgradeable.getBooleanSlot(_ROLLBACK_SLOT).value) {
                      _setImplementation(newImplementation);
                  } else {
                      try IERC1822ProxiableUpgradeable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                          require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
                      } catch {
                          revert("ERC1967Upgrade: new implementation is not UUPS");
                      }
                      _upgradeToAndCall(newImplementation, data, forceCall);
                  }
              }
              /**
               * @dev Storage slot with the admin of the contract.
               * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
               * validated in the constructor.
               */
              bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
              /**
               * @dev Returns the current admin.
               */
              function _getAdmin() internal view returns (address) {
                  return StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value;
              }
              /**
               * @dev Stores a new address in the EIP1967 admin slot.
               */
              function _setAdmin(address newAdmin) private {
                  require(newAdmin != address(0), "ERC1967: new admin is the zero address");
                  StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
              }
              /**
               * @dev Changes the admin of the proxy.
               *
               * Emits an {AdminChanged} event.
               */
              function _changeAdmin(address newAdmin) internal {
                  emit AdminChanged(_getAdmin(), newAdmin);
                  _setAdmin(newAdmin);
              }
              /**
               * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
               * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
               */
              bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;
              /**
               * @dev Returns the current beacon.
               */
              function _getBeacon() internal view returns (address) {
                  return StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value;
              }
              /**
               * @dev Stores a new beacon in the EIP1967 beacon slot.
               */
              function _setBeacon(address newBeacon) private {
                  require(AddressUpgradeable.isContract(newBeacon), "ERC1967: new beacon is not a contract");
                  require(
                      AddressUpgradeable.isContract(IBeaconUpgradeable(newBeacon).implementation()),
                      "ERC1967: beacon implementation is not a contract"
                  );
                  StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value = newBeacon;
              }
              /**
               * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
               * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
               *
               * Emits a {BeaconUpgraded} event.
               */
              function _upgradeBeaconToAndCall(
                  address newBeacon,
                  bytes memory data,
                  bool forceCall
              ) internal {
                  _setBeacon(newBeacon);
                  emit BeaconUpgraded(newBeacon);
                  if (data.length > 0 || forceCall) {
                      _functionDelegateCall(IBeaconUpgradeable(newBeacon).implementation(), data);
                  }
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a delegate call.
               *
               * _Available since v3.4._
               */
              function _functionDelegateCall(address target, bytes memory data) private returns (bytes memory) {
                  require(AddressUpgradeable.isContract(target), "Address: delegate call to non-contract");
                  // solhint-disable-next-line avoid-low-level-calls
                  (bool success, bytes memory returndata) = target.delegatecall(data);
                  return AddressUpgradeable.verifyCallResult(success, returndata, "Address: low-level delegate call failed");
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev This is the interface that {BeaconProxy} expects of its beacon.
           */
          interface IBeaconUpgradeable {
              /**
               * @dev Must return an address that can be used as a delegate call target.
               *
               * {BeaconProxy} will check that this address is a contract.
               */
              function implementation() external view returns (address);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.3) (interfaces/IERC1967.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.
           *
           * _Available since v4.9._
           */
          interface IERC1967Upgradeable {
              /**
               * @dev Emitted when the implementation is upgraded.
               */
              event Upgraded(address indexed implementation);
              /**
               * @dev Emitted when the admin account has changed.
               */
              event AdminChanged(address previousAdmin, address newAdmin);
              /**
               * @dev Emitted when the beacon is changed.
               */
              event BeaconUpgraded(address indexed beacon);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (utils/StorageSlot.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Library for reading and writing primitive types to specific storage slots.
           *
           * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
           * This library helps with reading and writing to such slots without the need for inline assembly.
           *
           * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
           *
           * Example usage to set ERC1967 implementation slot:
           * ```
           * contract ERC1967 {
           *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
           *
           *     function _getImplementation() internal view returns (address) {
           *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
           *     }
           *
           *     function _setImplementation(address newImplementation) internal {
           *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
           *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
           *     }
           * }
           * ```
           *
           * _Available since v4.1 for `address`, `bool`, `bytes32`, and `uint256`._
           */
          library StorageSlotUpgradeable {
              struct AddressSlot {
                  address value;
              }
              struct BooleanSlot {
                  bool value;
              }
              struct Bytes32Slot {
                  bytes32 value;
              }
              struct Uint256Slot {
                  uint256 value;
              }
              /**
               * @dev Returns an `AddressSlot` with member `value` located at `slot`.
               */
              function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
               */
              function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
               */
              function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
              /**
               * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
               */
              function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      r.slot := slot
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { MerkleProof } from "lib/openzeppelin-contracts/contracts/utils/cryptography/MerkleProof.sol";
          import { Signatures } from "./Signatures.sol";
          import { AssetType, Order, Exchange, Listing, OrderType, FeeRate, Fees, Taker } from "./lib/Structs.sol";
          import { IValidation } from "./interfaces/IValidation.sol";
          abstract contract Validation is IValidation, Signatures {
              uint256 internal constant _BASIS_POINTS = 10_000;
              uint256 internal constant _MAX_PROTOCOL_FEE_RATE = 250;
              FeeRate public protocolFee;
              /* amountTaken[user][orderHash][listingIndex] */
              mapping(address => mapping(bytes32 => mapping(uint256 => uint256))) public amountTaken;
              constructor(address proxy) Signatures(proxy) {}
              /**
               * @notice Check if an order has expired
               * @param order Order to check liveness
               * @return Order is live
               */
              function _checkLiveness(Order memory order) private view returns (bool) {
                  return (order.expirationTime > block.timestamp);
              }
              /**
               * @notice Check that the fees to be taken will not overflow the purchase price
               * @param makerFee Maker fee amount
               * @param fees Protocol and taker fee rates
               * @return Fees are valid
               */
              function _checkFee(FeeRate memory makerFee, Fees memory fees) private pure returns (bool) {
                  return makerFee.rate + fees.takerFee.rate + fees.protocolFee.rate <= _BASIS_POINTS;
              }
              /**
               * @notice Validate a list of orders and prepare arrays for recording pending fulfillments
               * @param orders List of orders
               * @param orderType Order type for all orders
               * @param signatures Bytes array of the order signatures
               * @param fees Protocol and taker fee rates
               */
              function _validateOrders(
                  Order[] memory orders,
                  OrderType orderType,
                  bytes memory signatures,
                  Fees memory fees
              ) internal view returns (bool[] memory validOrders, uint256[][] memory pendingAmountTaken) {
                  uint256 ordersLength = orders.length;
                  validOrders = new bool[](ordersLength);
                  pendingAmountTaken = new uint256[][](ordersLength);
                  for (uint256 i; i < ordersLength; ) {
                      pendingAmountTaken[i] = new uint256[](orders[i].numberOfListings);
                      validOrders[i] = _validateOrder(orders[i], orderType, signatures, fees, i);
                      unchecked {
                          ++i;
                      }
                  }
              }
              /**
               * @notice Validate an order
               * @param order Order to validate
               * @param orderType Order type
               * @param signatures Bytes array of order signatures
               * @param fees Protocol and taker fee rates
               * @param signatureIndex Index of the order signature
               * @return Validity of the order
               */
              function _validateOrder(
                  Order memory order,
                  OrderType orderType,
                  bytes memory signatures,
                  Fees memory fees,
                  uint256 signatureIndex
              ) internal view returns (bool) {
                  bytes32 orderHash = hashOrder(order, orderType);
                  /* After hashing, the salt is no longer needed so we can store the order hash here. */
                  order.salt = uint256(orderHash);
                  return _verifyAuthorization(
                      order.trader,
                      orderHash,
                      signatures,
                      signatureIndex
                  ) &&
                      _checkLiveness(order) &&
                      _checkFee(order.makerFee, fees);
              }
              /**
               * @notice Validate a listing (only valid if the order has be prevalidated)
               * @dev Validation can be manipulated by inputting the same order twice in the orders array,
               * which will effectively bypass the `pendingAmountTaken` check. There is a safety check at the
               * execution phase that will revert the transaction if this manipulation overdraws an order.
               * @param order Order of the listing
               * @param orderType Order type
               * @param exchange Exchange containing the listing
               * @param validOrders List indicated which orders were validated
               * @param pendingAmountTaken Pending fulfillments from the current batch
               * @return validListing Validity of the listing
               */
              function _validateListingFromBatch(
                  Order memory order,
                  OrderType orderType,
                  Exchange memory exchange,
                  bool[] memory validOrders,
                  uint256[][] memory pendingAmountTaken
              ) internal view returns (bool validListing) {
                  Listing memory listing = exchange.listing;
                  uint256 listingIndex = listing.index;
                  uint256 amountTaken = amountTaken[order.trader][bytes32(order.salt)][listingIndex];
                  uint256 pendingAmountTaken = pendingAmountTaken[exchange.index][listingIndex];
                  uint256 takerAmount = exchange.taker.amount;
                  unchecked {
                      validListing =
                          validOrders[exchange.index] &&
                          _validateListing(order, orderType, exchange) &&
                          pendingAmountTaken + takerAmount <= type(uint256).max - amountTaken &&
                          amountTaken + pendingAmountTaken + takerAmount <= listing.amount;
                  }
              }
              /**
               * @notice Validate a listing and its proposed exchange
               * @param order Order of the listing
               * @param orderType Order type
               * @param exchange Exchange containing the listing
               * @return validListing Validity of the listing and its proposed exchange
               */
              function _validateListing(
                  Order memory order,
                  OrderType orderType,
                  Exchange memory exchange
              ) private pure returns (bool validListing) {
                  Listing memory listing = exchange.listing;
                  validListing = MerkleProof.verify(exchange.proof, order.listingsRoot, hashListing(listing));
                  Taker memory taker = exchange.taker;
                  if (orderType == OrderType.ASK) {
                      if (order.assetType == AssetType.ERC721) {
                          validListing = validListing && taker.amount == 1 && listing.amount == 1;
                      }
                      validListing = validListing && listing.tokenId == taker.tokenId;
                  } else {
                      if (order.assetType == AssetType.ERC721) {
                          validListing = validListing && taker.amount == 1;
                      } else {
                          validListing = validListing && listing.tokenId == taker.tokenId;
                      }
                  }
              }
              /**
               * @notice Validate both the listing and it's parent order (only for single executions)
               * @param order Order of the listing
               * @param orderType Order type
               * @param exchange Exchange containing the listing
               * @param signature Order signature
               * @param fees Protocol and taker fee rates
               * @return Validity of the order and listing
               */
              function _validateOrderAndListing(
                  Order memory order,
                  OrderType orderType,
                  Exchange memory exchange,
                  bytes memory signature,
                  Fees memory fees
              ) internal view returns (bool) {
                  Listing memory listing = exchange.listing;
                  uint256 listingIndex = listing.index;
                  return
                      _validateOrder(order, orderType, signature, fees, 0) &&
                      _validateListing(order, orderType, exchange) &&
                      amountTaken[order.trader][bytes32(order.salt)][listingIndex] + exchange.taker.amount <=
                      listing.amount;
              }
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { AssetType, OrderType, Transfer } from "../lib/Structs.sol";
          interface IDelegate {
              function transfer(
                  address caller,
                  OrderType orderType,
                  Transfer[] calldata transfers,
                  uint256 length
              ) external returns (bool[] memory successful);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import {
              Fees,
              FeeRate,
              Transfer,
              OrderType
          } from "../lib/Structs.sol";
          interface IExecutor {
              error ETHTransferFailed();
              error PoolTransferFailed();
              error PoolWithdrawFromFailed();
              error PoolDepositFailed();
              error OrderFulfilled();
              event Execution(
                  Transfer transfer,
                  bytes32 orderHash,
                  uint256 listingIndex,
                  uint256 price,
                  FeeRate makerFee,
                  Fees fees,
                  OrderType orderType
              );
              event Execution721Packed(
                  bytes32 orderHash,
                  uint256 tokenIdListingIndexTrader,
                  uint256 collectionPriceSide
              );
              event Execution721TakerFeePacked(
                  bytes32 orderHash,
                  uint256 tokenIdListingIndexTrader,
                  uint256 collectionPriceSide,
                  uint256 takerFeeRecipientRate
              );
              event Execution721MakerFeePacked(
                  bytes32 orderHash,
                  uint256 tokenIdListingIndexTrader,
                  uint256 collectionPriceSide,
                  uint256 makerFeeRecipientRate
              );
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/MerkleProof.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev These functions deal with verification of Merkle Tree proofs.
           *
           * The tree and the proofs can be generated using our
           * https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
           * You will find a quickstart guide in the readme.
           *
           * WARNING: You should avoid using leaf values that are 64 bytes long prior to
           * hashing, or use a hash function other than keccak256 for hashing leaves.
           * This is because the concatenation of a sorted pair of internal nodes in
           * the merkle tree could be reinterpreted as a leaf value.
           * OpenZeppelin's JavaScript library generates merkle trees that are safe
           * against this attack out of the box.
           */
          library MerkleProof {
              /**
               * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
               * defined by `root`. For this, a `proof` must be provided, containing
               * sibling hashes on the branch from the leaf to the root of the tree. Each
               * pair of leaves and each pair of pre-images are assumed to be sorted.
               */
              function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
                  return processProof(proof, leaf) == root;
              }
              /**
               * @dev Calldata version of {verify}
               *
               * _Available since v4.7._
               */
              function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
                  return processProofCalldata(proof, leaf) == root;
              }
              /**
               * @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
               * from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
               * hash matches the root of the tree. When processing the proof, the pairs
               * of leafs & pre-images are assumed to be sorted.
               *
               * _Available since v4.4._
               */
              function processProof(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32) {
                  bytes32 computedHash = leaf;
                  for (uint256 i = 0; i < proof.length; i++) {
                      computedHash = _hashPair(computedHash, proof[i]);
                  }
                  return computedHash;
              }
              /**
               * @dev Calldata version of {processProof}
               *
               * _Available since v4.7._
               */
              function processProofCalldata(bytes32[] calldata proof, bytes32 leaf) internal pure returns (bytes32) {
                  bytes32 computedHash = leaf;
                  for (uint256 i = 0; i < proof.length; i++) {
                      computedHash = _hashPair(computedHash, proof[i]);
                  }
                  return computedHash;
              }
              /**
               * @dev Returns true if the `leaves` can be simultaneously proven to be a part of a merkle tree defined by
               * `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
               *
               * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
               *
               * _Available since v4.7._
               */
              function multiProofVerify(
                  bytes32[] memory proof,
                  bool[] memory proofFlags,
                  bytes32 root,
                  bytes32[] memory leaves
              ) internal pure returns (bool) {
                  return processMultiProof(proof, proofFlags, leaves) == root;
              }
              /**
               * @dev Calldata version of {multiProofVerify}
               *
               * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
               *
               * _Available since v4.7._
               */
              function multiProofVerifyCalldata(
                  bytes32[] calldata proof,
                  bool[] calldata proofFlags,
                  bytes32 root,
                  bytes32[] memory leaves
              ) internal pure returns (bool) {
                  return processMultiProofCalldata(proof, proofFlags, leaves) == root;
              }
              /**
               * @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
               * proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
               * leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
               * respectively.
               *
               * CAUTION: Not all merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
               * is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
               * tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
               *
               * _Available since v4.7._
               */
              function processMultiProof(
                  bytes32[] memory proof,
                  bool[] memory proofFlags,
                  bytes32[] memory leaves
              ) internal pure returns (bytes32 merkleRoot) {
                  // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
                  // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
                  // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
                  // the merkle tree.
                  uint256 leavesLen = leaves.length;
                  uint256 totalHashes = proofFlags.length;
                  // Check proof validity.
                  require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");
                  // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
                  // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
                  bytes32[] memory hashes = new bytes32[](totalHashes);
                  uint256 leafPos = 0;
                  uint256 hashPos = 0;
                  uint256 proofPos = 0;
                  // At each step, we compute the next hash using two values:
                  // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
                  //   get the next hash.
                  // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
                  //   `proof` array.
                  for (uint256 i = 0; i < totalHashes; i++) {
                      bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                      bytes32 b = proofFlags[i]
                          ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                          : proof[proofPos++];
                      hashes[i] = _hashPair(a, b);
                  }
                  if (totalHashes > 0) {
                      unchecked {
                          return hashes[totalHashes - 1];
                      }
                  } else if (leavesLen > 0) {
                      return leaves[0];
                  } else {
                      return proof[0];
                  }
              }
              /**
               * @dev Calldata version of {processMultiProof}.
               *
               * CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
               *
               * _Available since v4.7._
               */
              function processMultiProofCalldata(
                  bytes32[] calldata proof,
                  bool[] calldata proofFlags,
                  bytes32[] memory leaves
              ) internal pure returns (bytes32 merkleRoot) {
                  // This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
                  // consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
                  // `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
                  // the merkle tree.
                  uint256 leavesLen = leaves.length;
                  uint256 totalHashes = proofFlags.length;
                  // Check proof validity.
                  require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");
                  // The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
                  // `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
                  bytes32[] memory hashes = new bytes32[](totalHashes);
                  uint256 leafPos = 0;
                  uint256 hashPos = 0;
                  uint256 proofPos = 0;
                  // At each step, we compute the next hash using two values:
                  // - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
                  //   get the next hash.
                  // - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
                  //   `proof` array.
                  for (uint256 i = 0; i < totalHashes; i++) {
                      bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
                      bytes32 b = proofFlags[i]
                          ? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
                          : proof[proofPos++];
                      hashes[i] = _hashPair(a, b);
                  }
                  if (totalHashes > 0) {
                      unchecked {
                          return hashes[totalHashes - 1];
                      }
                  } else if (leavesLen > 0) {
                      return leaves[0];
                  } else {
                      return proof[0];
                  }
              }
              function _hashPair(bytes32 a, bytes32 b) private pure returns (bytes32) {
                  return a < b ? _efficientHash(a, b) : _efficientHash(b, a);
              }
              function _efficientHash(bytes32 a, bytes32 b) private pure returns (bytes32 value) {
                  /// @solidity memory-safe-assembly
                  assembly {
                      mstore(0x00, a)
                      mstore(0x20, b)
                      value := keccak256(0x00, 0x40)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import "./lib/Constants.sol";
          import {
              TakeAsk,
              TakeBid,
              TakeAskSingle,
              TakeBidSingle,
              FeeRate,
              Order,
              OrderType,
              AssetType,
              Listing
          } from "./lib/Structs.sol";
          import { ISignatures } from "./interfaces/ISignatures.sol";
          abstract contract Signatures is ISignatures {
              string private constant _NAME = "Blur Exchange";
              string private constant _VERSION = "1.0";
              bytes32 private immutable _FEE_RATE_TYPEHASH;
              bytes32 private immutable _ORDER_TYPEHASH;
              bytes32 private immutable _DOMAIN_SEPARATOR;
              mapping(address => uint256) public oracles;
              mapping(address => uint256) public nonces;
              uint256 public blockRange;
              constructor(address proxy) {
                  (_FEE_RATE_TYPEHASH, _ORDER_TYPEHASH, _DOMAIN_SEPARATOR) = _createTypehashes(proxy);
              }
              /**
               * @notice Verify the domain separator produced during deployment of the implementation matches that of the proxy
               */
              function verifyDomain() public view {
                  bytes32 eip712DomainTypehash = keccak256(
                      bytes.concat(
                          "EIP712Domain(",
                          "string name,",
                          "string version,",
                          "uint256 chainId,",
                          "address verifyingContract",
                          ")"
                      )
                  );
                  bytes32 domainSeparator = _hashDomain(
                      eip712DomainTypehash,
                      keccak256(bytes(_NAME)),
                      keccak256(bytes(_VERSION)),
                      address(this)
                  );
                  if (_DOMAIN_SEPARATOR != domainSeparator) {
                      revert InvalidDomain();
                  }
              }
              /**
               * @notice Return version and domain separator
               */
              function information() external view returns (string memory version, bytes32 domainSeparator) {
                  version = _VERSION;
                  domainSeparator = _DOMAIN_SEPARATOR;
              }
              /**
               * @notice Create a hash of TakeAsk calldata with an approved caller
               * @param inputs TakeAsk inputs
               * @param _caller Address approved to execute the calldata
               * @return Calldata hash
               */
              function hashTakeAsk(TakeAsk memory inputs, address _caller) external pure returns (bytes32) {
                  return _hashCalldata(_caller);
              }
              /**
               * @notice Create a hash of TakeBid calldata with an approved caller
               * @param inputs TakeBid inputs
               * @param _caller Address approved to execute the calldata
               * @return Calldata hash
               */
              function hashTakeBid(TakeBid memory inputs, address _caller) external pure returns (bytes32) {
                  return _hashCalldata(_caller);
              }
              /**
               * @notice Create a hash of TakeAskSingle calldata with an approved caller
               * @param inputs TakeAskSingle inputs
               * @param _caller Address approved to execute the calldata
               * @return Calldata hash
               */
              function hashTakeAskSingle(
                  TakeAskSingle memory inputs,
                  address _caller
              ) external pure returns (bytes32) {
                  return _hashCalldata(_caller);
              }
              /**
               * @notice Create a hash of TakeBidSingle calldata with an approved caller
               * @param inputs TakeBidSingle inputs
               * @param _caller Address approved to execute the calldata
               * @return Calldata hash
               */
              function hashTakeBidSingle(
                  TakeBidSingle memory inputs,
                  address _caller
              ) external pure returns (bytes32) {
                  return _hashCalldata(_caller);
              }
              /**
               * @notice Create an EIP712 hash of an Order
               * @dev Includes two additional parameters not in the struct (orderType, nonce)
               * @param order Order to hash
               * @param orderType OrderType of the Order
               * @return Order EIP712 hash
               */
              function hashOrder(Order memory order, OrderType orderType) public view returns (bytes32) {
                  return
                      keccak256(
                          abi.encode(
                              _ORDER_TYPEHASH,
                              order.trader,
                              order.collection,
                              order.listingsRoot,
                              order.numberOfListings,
                              order.expirationTime,
                              order.assetType,
                              _hashFeeRate(order.makerFee),
                              order.salt,
                              orderType,
                              nonces[order.trader]
                          )
                      );
              }
              /**
               * @notice Create a hash of a Listing struct
               * @param listing Listing to hash
               * @return Listing hash
               */
              function hashListing(Listing memory listing) public pure returns (bytes32) {
                  return keccak256(abi.encode(listing.index, listing.tokenId, listing.amount, listing.price));
              }
              /**
               * @notice Create a hash of calldata with an approved caller
               * @param _caller Address approved to execute the calldata
               * @return hash Calldata hash
               */
              function _hashCalldata(address _caller) internal pure returns (bytes32 hash) {
                  assembly {
                      let nextPointer := mload(0x40)
                      let size := add(sub(nextPointer, 0x80), 0x20)
                      mstore(nextPointer, _caller)
                      hash := keccak256(0x80, size)
                  }
              }
              /**
               * @notice Create an EIP712 hash of a FeeRate struct
               * @param feeRate FeeRate to hash
               * @return FeeRate EIP712 hash
               */
              function _hashFeeRate(FeeRate memory feeRate) private view returns (bytes32) {
                  return keccak256(abi.encode(_FEE_RATE_TYPEHASH, feeRate.recipient, feeRate.rate));
              }
              /**
               * @notice Create an EIP712 hash to sign
               * @param hash Primary EIP712 object hash
               * @return EIP712 hash
               */
              function _hashToSign(bytes32 hash) private view returns (bytes32) {
                  return keccak256(bytes.concat(bytes2(0x1901), _DOMAIN_SEPARATOR, hash));
              }
              /**
               * @notice Generate all EIP712 Typehashes
               */
              function _createTypehashes(
                  address proxy
              )
                  private
                  view
                  returns (bytes32 feeRateTypehash, bytes32 orderTypehash, bytes32 domainSeparator)
              {
                  bytes32 eip712DomainTypehash = keccak256(
                      bytes.concat(
                          "EIP712Domain(",
                          "string name,",
                          "string version,",
                          "uint256 chainId,",
                          "address verifyingContract",
                          ")"
                      )
                  );
                  bytes memory feeRateTypestring = "FeeRate(address recipient,uint16 rate)";
                  orderTypehash = keccak256(
                      bytes.concat(
                          "Order(",
                          "address trader,",
                          "address collection,",
                          "bytes32 listingsRoot,",
                          "uint256 numberOfListings,",
                          "uint256 expirationTime,",
                          "uint8 assetType,",
                          "FeeRate makerFee,",
                          "uint256 salt,",
                          "uint8 orderType,",
                          "uint256 nonce",
                          ")",
                          feeRateTypestring
                      )
                  );
                  feeRateTypehash = keccak256(feeRateTypestring);
                  domainSeparator = _hashDomain(
                      eip712DomainTypehash,
                      keccak256(bytes(_NAME)),
                      keccak256(bytes(_VERSION)),
                      proxy
                  );
              }
              /**
               * @notice Create an EIP712 domain separator
               * @param eip712DomainTypehash Typehash of the EIP712Domain struct
               * @param nameHash Hash of the contract name
               * @param versionHash Hash of the version string
               * @param proxy Address of the proxy this implementation will be behind
               * @return EIP712Domain hash
               */
              function _hashDomain(
                  bytes32 eip712DomainTypehash,
                  bytes32 nameHash,
                  bytes32 versionHash,
                  address proxy
              ) private view returns (bytes32) {
                  return
                      keccak256(
                          abi.encode(eip712DomainTypehash, nameHash, versionHash, block.chainid, proxy)
                      );
              }
              /**
               * @notice Verify EIP712 signature
               * @param signer Address of the alleged signer
               * @param hash EIP712 hash
               * @param signatures Packed bytes array of order signatures
               * @param index Index of the signature to verify
               * @return authorized Validity of the signature
               */
              function _verifyAuthorization(
                  address signer,
                  bytes32 hash,
                  bytes memory signatures,
                  uint256 index
              ) internal view returns (bool authorized) {
                  bytes32 hashToSign = _hashToSign(hash);
                  bytes32 r;
                  bytes32 s;
                  uint8 v;
                  assembly {
                      let signatureOffset := add(add(signatures, One_word), mul(Signatures_size, index))
                      r := mload(signatureOffset)
                      s := mload(add(signatureOffset, Signatures_s_offset))
                      v := shr(Bytes1_shift, mload(add(signatureOffset, Signatures_v_offset)))
                  }
                  authorized = _verify(signer, hashToSign, v, r, s);
              }
              modifier verifyOracleSignature(bytes32 hash, bytes calldata oracleSignature) {
                  bytes32 r;
                  bytes32 s;
                  uint8 v;
                  uint32 blockNumber;
                  address oracle;
                  assembly {
                      let signatureOffset := oracleSignature.offset
                      r := calldataload(signatureOffset)
                      s := calldataload(add(signatureOffset, OracleSignatures_s_offset))
                      v := shr(Bytes1_shift, calldataload(add(signatureOffset, OracleSignatures_v_offset)))
                      blockNumber := shr(
                          Bytes4_shift,
                          calldataload(add(signatureOffset, OracleSignatures_blockNumber_offset))
                      )
                      oracle := shr(
                          Bytes20_shift,
                          calldataload(add(signatureOffset, OracleSignatures_oracle_offset))
                      )
                  }
                  if (blockNumber + blockRange < block.number) {
                      revert ExpiredOracleSignature();
                  }
                  if (oracles[oracle] == 0) {
                      revert UnauthorizedOracle();
                  }
                  if (!_verify(oracle, keccak256(abi.encodePacked(hash, blockNumber)), v, r, s)) {
                      revert InvalidOracleSignature();
                  }
                  _;
              }
              /**
               * @notice Verify signature of digest
               * @param signer Address of expected signer
               * @param digest Signature digest
               * @param v v parameter
               * @param r r parameter
               * @param s s parameter
               */
              function _verify(
                  address signer,
                  bytes32 digest,
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              ) private pure returns (bool valid) {
                  address recoveredSigner = ecrecover(digest, v, r, s);
                  if (recoveredSigner != address(0) && recoveredSigner == signer) {
                      valid = true;
                  }
              }
              uint256[47] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { FeeRate } from "../lib/Structs.sol";
          interface IValidation {
              function protocolFee() external view returns (address, uint16);
              function amountTaken(address user, bytes32 hash, uint256 listingIndex) external view returns (uint256);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import {
              TakeAsk,
              TakeBid,
              TakeAskSingle,
              TakeBidSingle,
              Order,
              OrderType,
              Listing
          } from "../lib/Structs.sol";
          interface ISignatures {
              error Unauthorized();
              error ExpiredOracleSignature();
              error UnauthorizedOracle();
              error InvalidOracleSignature();
              error InvalidDomain();
              function oracles(address oracle) external view returns (uint256);
              function nonces(address user) external view returns (uint256);
              function blockRange() external view returns (uint256);
              function verifyDomain() external view;
              function information() external view returns (string memory version, bytes32 domainSeparator);
              function hashListing(Listing memory listing) external pure returns (bytes32);
              function hashOrder(Order memory order, OrderType orderType) external view returns (bytes32);
              function hashTakeAsk(TakeAsk memory inputs, address _caller) external pure returns (bytes32);
              function hashTakeBid(TakeBid memory inputs, address _caller) external pure returns (bytes32);
              function hashTakeAskSingle(TakeAskSingle memory inputs, address _caller) external pure returns (bytes32);
              function hashTakeBidSingle(TakeBidSingle memory inputs, address _caller) external pure returns (bytes32);
          }
          

          File 4 of 5: Delegate
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          import { ERC721 } from "lib/solmate/src/tokens/ERC721.sol";
          import { ERC1155 } from "lib/solmate/src/tokens/ERC1155.sol";
          import { ERC20 } from "lib/solmate/src/tokens/ERC20.sol";
          import "./lib/Constants.sol";
          import { AssetType, OrderType, Transfer } from "./lib/Structs.sol";
          contract Delegate {
              error Unauthorized();
              error InvalidLength();
              address private immutable _EXCHANGE;
              constructor(address exchange) {
                  _EXCHANGE = exchange;
              }
              modifier onlyApproved() {
                  if (msg.sender != _EXCHANGE) {
                      revert Unauthorized();
                  }
                  _;
              }
              function transfer(
                  address taker,
                  OrderType orderType,
                  Transfer[] calldata transfers,
                  uint256 length
              ) external onlyApproved returns (bool[] memory successful) {
                  if (transfers.length < length) {
                      revert InvalidLength();
                  }
                  successful = new bool[](length);
                  for (uint256 i; i < length; ) {
                      assembly {
                          let calldataPointer := mload(0x40)
                          let transfersPointer := add(transfers.offset, mul(Transfer_size, i))
                          let assetType := calldataload(add(transfersPointer, Transfer_assetType_offset))
                          switch assetType
                          case 0 {
                              // AssetType_ERC721
                              mstore(calldataPointer, ERC721_safeTransferFrom_selector)
                              switch orderType
                              case 0 {
                                  // OrderType_ASK; taker is recipient
                                  mstore(add(calldataPointer, ERC721_safeTransferFrom_to_offset), taker)
                                  mstore(
                                      add(calldataPointer, ERC721_safeTransferFrom_from_offset),
                                      calldataload(add(transfersPointer, Transfer_trader_offset))
                                  )
                              }
                              case 1 {
                                  // OrderType_BID; taker is sender
                                  mstore(add(calldataPointer, ERC721_safeTransferFrom_from_offset), taker)
                                  mstore(
                                      add(calldataPointer, ERC721_safeTransferFrom_to_offset),
                                      calldataload(add(transfersPointer, Transfer_trader_offset))
                                  )
                              }
                              default {
                                  revert(0, 0)
                              }
                              mstore(
                                  add(calldataPointer, ERC721_safeTransferFrom_id_offset),
                                  calldataload(add(transfersPointer, Transfer_id_offset))
                              )
                              let collection := calldataload(
                                  add(transfersPointer, Transfer_collection_offset)
                              )
                              let success := call(
                                  gas(),
                                  collection,
                                  0,
                                  calldataPointer,
                                  ERC721_safeTransferFrom_size,
                                  0,
                                  0
                              )
                              mstore(add(add(successful, 0x20), mul(0x20, i)), success)
                          }
                          case 1 {
                              // AssetType_ERC1155
                              mstore(calldataPointer, ERC1155_safeTransferFrom_selector)
                              switch orderType
                              case 0 {
                                  // OrderType_ASK; taker is recipient
                                  mstore(
                                      add(calldataPointer, ERC1155_safeTransferFrom_from_offset),
                                      calldataload(
                                          add(
                                              transfersPointer,
                                              Transfer_trader_offset
                                          )
                                      )
                                  )
                                  mstore(add(calldataPointer, ERC1155_safeTransferFrom_to_offset), taker)
                              }
                              case 1 {
                                  // OrderType_BID; taker is sender
                                  mstore(
                                      add(calldataPointer, ERC1155_safeTransferFrom_to_offset),
                                      calldataload(
                                          add(
                                              transfersPointer,
                                              Transfer_trader_offset
                                          )
                                      )
                                  )
                                  mstore(add(calldataPointer, ERC1155_safeTransferFrom_from_offset), taker)
                              }
                              default {
                                  revert(0, 0)
                              }
                              mstore(add(calldataPointer, ERC1155_safeTransferFrom_data_pointer_offset), 0xa0)
                              mstore(add(calldataPointer, ERC1155_safeTransferFrom_data_offset), 0)
                              mstore(
                                  add(calldataPointer, ERC1155_safeTransferFrom_id_offset),
                                  calldataload(
                                      add(transfersPointer, Transfer_id_offset)
                                  )
                              )
                              mstore(
                                  add(calldataPointer, ERC1155_safeTransferFrom_amount_offset),
                                  calldataload(
                                      add(
                                          transfersPointer,
                                          Transfer_amount_offset
                                      )
                                  )
                              )
                              let collection := calldataload(
                                  add(
                                      transfersPointer,
                                      Transfer_collection_offset
                                  )
                              )
                              let success := call(
                                  gas(),
                                  collection,
                                  0,
                                  calldataPointer,
                                  ERC1155_safeTransferFrom_size,
                                  0,
                                  0
                              )
                              mstore(add(add(successful, 0x20), mul(0x20, i)), success)
                          }
                          default {
                              revert(0, 0)
                          }
                      }
                      unchecked {
                          ++i;
                      }
                  }
              }
          }
          // SPDX-License-Identifier: AGPL-3.0-only
          pragma solidity >=0.8.0;
          /// @notice Modern, minimalist, and gas efficient ERC-721 implementation.
          /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
          abstract contract ERC721 {
              /*//////////////////////////////////////////////////////////////
                                           EVENTS
              //////////////////////////////////////////////////////////////*/
              event Transfer(address indexed from, address indexed to, uint256 indexed id);
              event Approval(address indexed owner, address indexed spender, uint256 indexed id);
              event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
              /*//////////////////////////////////////////////////////////////
                                   METADATA STORAGE/LOGIC
              //////////////////////////////////////////////////////////////*/
              string public name;
              string public symbol;
              function tokenURI(uint256 id) public view virtual returns (string memory);
              /*//////////////////////////////////////////////////////////////
                                ERC721 BALANCE/OWNER STORAGE
              //////////////////////////////////////////////////////////////*/
              mapping(uint256 => address) internal _ownerOf;
              mapping(address => uint256) internal _balanceOf;
              function ownerOf(uint256 id) public view virtual returns (address owner) {
                  require((owner = _ownerOf[id]) != address(0), "NOT_MINTED");
              }
              function balanceOf(address owner) public view virtual returns (uint256) {
                  require(owner != address(0), "ZERO_ADDRESS");
                  return _balanceOf[owner];
              }
              /*//////////////////////////////////////////////////////////////
                                   ERC721 APPROVAL STORAGE
              //////////////////////////////////////////////////////////////*/
              mapping(uint256 => address) public getApproved;
              mapping(address => mapping(address => bool)) public isApprovedForAll;
              /*//////////////////////////////////////////////////////////////
                                         CONSTRUCTOR
              //////////////////////////////////////////////////////////////*/
              constructor(string memory _name, string memory _symbol) {
                  name = _name;
                  symbol = _symbol;
              }
              /*//////////////////////////////////////////////////////////////
                                        ERC721 LOGIC
              //////////////////////////////////////////////////////////////*/
              function approve(address spender, uint256 id) public virtual {
                  address owner = _ownerOf[id];
                  require(msg.sender == owner || isApprovedForAll[owner][msg.sender], "NOT_AUTHORIZED");
                  getApproved[id] = spender;
                  emit Approval(owner, spender, id);
              }
              function setApprovalForAll(address operator, bool approved) public virtual {
                  isApprovedForAll[msg.sender][operator] = approved;
                  emit ApprovalForAll(msg.sender, operator, approved);
              }
              function transferFrom(
                  address from,
                  address to,
                  uint256 id
              ) public virtual {
                  require(from == _ownerOf[id], "WRONG_FROM");
                  require(to != address(0), "INVALID_RECIPIENT");
                  require(
                      msg.sender == from || isApprovedForAll[from][msg.sender] || msg.sender == getApproved[id],
                      "NOT_AUTHORIZED"
                  );
                  // Underflow of the sender's balance is impossible because we check for
                  // ownership above and the recipient's balance can't realistically overflow.
                  unchecked {
                      _balanceOf[from]--;
                      _balanceOf[to]++;
                  }
                  _ownerOf[id] = to;
                  delete getApproved[id];
                  emit Transfer(from, to, id);
              }
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 id
              ) public virtual {
                  transferFrom(from, to, id);
                  require(
                      to.code.length == 0 ||
                          ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, "") ==
                          ERC721TokenReceiver.onERC721Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 id,
                  bytes calldata data
              ) public virtual {
                  transferFrom(from, to, id);
                  require(
                      to.code.length == 0 ||
                          ERC721TokenReceiver(to).onERC721Received(msg.sender, from, id, data) ==
                          ERC721TokenReceiver.onERC721Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              /*//////////////////////////////////////////////////////////////
                                        ERC165 LOGIC
              //////////////////////////////////////////////////////////////*/
              function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                  return
                      interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                      interfaceId == 0x80ac58cd || // ERC165 Interface ID for ERC721
                      interfaceId == 0x5b5e139f; // ERC165 Interface ID for ERC721Metadata
              }
              /*//////////////////////////////////////////////////////////////
                                  INTERNAL MINT/BURN LOGIC
              //////////////////////////////////////////////////////////////*/
              function _mint(address to, uint256 id) internal virtual {
                  require(to != address(0), "INVALID_RECIPIENT");
                  require(_ownerOf[id] == address(0), "ALREADY_MINTED");
                  // Counter overflow is incredibly unrealistic.
                  unchecked {
                      _balanceOf[to]++;
                  }
                  _ownerOf[id] = to;
                  emit Transfer(address(0), to, id);
              }
              function _burn(uint256 id) internal virtual {
                  address owner = _ownerOf[id];
                  require(owner != address(0), "NOT_MINTED");
                  // Ownership check above ensures no underflow.
                  unchecked {
                      _balanceOf[owner]--;
                  }
                  delete _ownerOf[id];
                  delete getApproved[id];
                  emit Transfer(owner, address(0), id);
              }
              /*//////////////////////////////////////////////////////////////
                                  INTERNAL SAFE MINT LOGIC
              //////////////////////////////////////////////////////////////*/
              function _safeMint(address to, uint256 id) internal virtual {
                  _mint(to, id);
                  require(
                      to.code.length == 0 ||
                          ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, "") ==
                          ERC721TokenReceiver.onERC721Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function _safeMint(
                  address to,
                  uint256 id,
                  bytes memory data
              ) internal virtual {
                  _mint(to, id);
                  require(
                      to.code.length == 0 ||
                          ERC721TokenReceiver(to).onERC721Received(msg.sender, address(0), id, data) ==
                          ERC721TokenReceiver.onERC721Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
          }
          /// @notice A generic interface for a contract which properly accepts ERC721 tokens.
          /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
          abstract contract ERC721TokenReceiver {
              function onERC721Received(
                  address,
                  address,
                  uint256,
                  bytes calldata
              ) external virtual returns (bytes4) {
                  return ERC721TokenReceiver.onERC721Received.selector;
              }
          }
          // SPDX-License-Identifier: AGPL-3.0-only
          pragma solidity >=0.8.0;
          /// @notice Minimalist and gas efficient standard ERC1155 implementation.
          /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
          abstract contract ERC1155 {
              /*//////////////////////////////////////////////////////////////
                                           EVENTS
              //////////////////////////////////////////////////////////////*/
              event TransferSingle(
                  address indexed operator,
                  address indexed from,
                  address indexed to,
                  uint256 id,
                  uint256 amount
              );
              event TransferBatch(
                  address indexed operator,
                  address indexed from,
                  address indexed to,
                  uint256[] ids,
                  uint256[] amounts
              );
              event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
              event URI(string value, uint256 indexed id);
              /*//////////////////////////////////////////////////////////////
                                       ERC1155 STORAGE
              //////////////////////////////////////////////////////////////*/
              mapping(address => mapping(uint256 => uint256)) public balanceOf;
              mapping(address => mapping(address => bool)) public isApprovedForAll;
              /*//////////////////////////////////////////////////////////////
                                       METADATA LOGIC
              //////////////////////////////////////////////////////////////*/
              function uri(uint256 id) public view virtual returns (string memory);
              /*//////////////////////////////////////////////////////////////
                                        ERC1155 LOGIC
              //////////////////////////////////////////////////////////////*/
              function setApprovalForAll(address operator, bool approved) public virtual {
                  isApprovedForAll[msg.sender][operator] = approved;
                  emit ApprovalForAll(msg.sender, operator, approved);
              }
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 id,
                  uint256 amount,
                  bytes calldata data
              ) public virtual {
                  require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                  balanceOf[from][id] -= amount;
                  balanceOf[to][id] += amount;
                  emit TransferSingle(msg.sender, from, to, id, amount);
                  require(
                      to.code.length == 0
                          ? to != address(0)
                          : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, from, id, amount, data) ==
                              ERC1155TokenReceiver.onERC1155Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function safeBatchTransferFrom(
                  address from,
                  address to,
                  uint256[] calldata ids,
                  uint256[] calldata amounts,
                  bytes calldata data
              ) public virtual {
                  require(ids.length == amounts.length, "LENGTH_MISMATCH");
                  require(msg.sender == from || isApprovedForAll[from][msg.sender], "NOT_AUTHORIZED");
                  // Storing these outside the loop saves ~15 gas per iteration.
                  uint256 id;
                  uint256 amount;
                  for (uint256 i = 0; i < ids.length; ) {
                      id = ids[i];
                      amount = amounts[i];
                      balanceOf[from][id] -= amount;
                      balanceOf[to][id] += amount;
                      // An array can't have a total length
                      // larger than the max uint256 value.
                      unchecked {
                          ++i;
                      }
                  }
                  emit TransferBatch(msg.sender, from, to, ids, amounts);
                  require(
                      to.code.length == 0
                          ? to != address(0)
                          : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, from, ids, amounts, data) ==
                              ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function balanceOfBatch(address[] calldata owners, uint256[] calldata ids)
                  public
                  view
                  virtual
                  returns (uint256[] memory balances)
              {
                  require(owners.length == ids.length, "LENGTH_MISMATCH");
                  balances = new uint256[](owners.length);
                  // Unchecked because the only math done is incrementing
                  // the array index counter which cannot possibly overflow.
                  unchecked {
                      for (uint256 i = 0; i < owners.length; ++i) {
                          balances[i] = balanceOf[owners[i]][ids[i]];
                      }
                  }
              }
              /*//////////////////////////////////////////////////////////////
                                        ERC165 LOGIC
              //////////////////////////////////////////////////////////////*/
              function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                  return
                      interfaceId == 0x01ffc9a7 || // ERC165 Interface ID for ERC165
                      interfaceId == 0xd9b67a26 || // ERC165 Interface ID for ERC1155
                      interfaceId == 0x0e89341c; // ERC165 Interface ID for ERC1155MetadataURI
              }
              /*//////////////////////////////////////////////////////////////
                                  INTERNAL MINT/BURN LOGIC
              //////////////////////////////////////////////////////////////*/
              function _mint(
                  address to,
                  uint256 id,
                  uint256 amount,
                  bytes memory data
              ) internal virtual {
                  balanceOf[to][id] += amount;
                  emit TransferSingle(msg.sender, address(0), to, id, amount);
                  require(
                      to.code.length == 0
                          ? to != address(0)
                          : ERC1155TokenReceiver(to).onERC1155Received(msg.sender, address(0), id, amount, data) ==
                              ERC1155TokenReceiver.onERC1155Received.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function _batchMint(
                  address to,
                  uint256[] memory ids,
                  uint256[] memory amounts,
                  bytes memory data
              ) internal virtual {
                  uint256 idsLength = ids.length; // Saves MLOADs.
                  require(idsLength == amounts.length, "LENGTH_MISMATCH");
                  for (uint256 i = 0; i < idsLength; ) {
                      balanceOf[to][ids[i]] += amounts[i];
                      // An array can't have a total length
                      // larger than the max uint256 value.
                      unchecked {
                          ++i;
                      }
                  }
                  emit TransferBatch(msg.sender, address(0), to, ids, amounts);
                  require(
                      to.code.length == 0
                          ? to != address(0)
                          : ERC1155TokenReceiver(to).onERC1155BatchReceived(msg.sender, address(0), ids, amounts, data) ==
                              ERC1155TokenReceiver.onERC1155BatchReceived.selector,
                      "UNSAFE_RECIPIENT"
                  );
              }
              function _batchBurn(
                  address from,
                  uint256[] memory ids,
                  uint256[] memory amounts
              ) internal virtual {
                  uint256 idsLength = ids.length; // Saves MLOADs.
                  require(idsLength == amounts.length, "LENGTH_MISMATCH");
                  for (uint256 i = 0; i < idsLength; ) {
                      balanceOf[from][ids[i]] -= amounts[i];
                      // An array can't have a total length
                      // larger than the max uint256 value.
                      unchecked {
                          ++i;
                      }
                  }
                  emit TransferBatch(msg.sender, from, address(0), ids, amounts);
              }
              function _burn(
                  address from,
                  uint256 id,
                  uint256 amount
              ) internal virtual {
                  balanceOf[from][id] -= amount;
                  emit TransferSingle(msg.sender, from, address(0), id, amount);
              }
          }
          /// @notice A generic interface for a contract which properly accepts ERC1155 tokens.
          /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC1155.sol)
          abstract contract ERC1155TokenReceiver {
              function onERC1155Received(
                  address,
                  address,
                  uint256,
                  uint256,
                  bytes calldata
              ) external virtual returns (bytes4) {
                  return ERC1155TokenReceiver.onERC1155Received.selector;
              }
              function onERC1155BatchReceived(
                  address,
                  address,
                  uint256[] calldata,
                  uint256[] calldata,
                  bytes calldata
              ) external virtual returns (bytes4) {
                  return ERC1155TokenReceiver.onERC1155BatchReceived.selector;
              }
          }
          // SPDX-License-Identifier: AGPL-3.0-only
          pragma solidity >=0.8.0;
          /// @notice Modern and gas efficient ERC20 + EIP-2612 implementation.
          /// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC20.sol)
          /// @author Modified from Uniswap (https://github.com/Uniswap/uniswap-v2-core/blob/master/contracts/UniswapV2ERC20.sol)
          /// @dev Do not manually set balances without updating totalSupply, as the sum of all user balances must not exceed it.
          abstract contract ERC20 {
              /*//////////////////////////////////////////////////////////////
                                           EVENTS
              //////////////////////////////////////////////////////////////*/
              event Transfer(address indexed from, address indexed to, uint256 amount);
              event Approval(address indexed owner, address indexed spender, uint256 amount);
              /*//////////////////////////////////////////////////////////////
                                      METADATA STORAGE
              //////////////////////////////////////////////////////////////*/
              string public name;
              string public symbol;
              uint8 public immutable decimals;
              /*//////////////////////////////////////////////////////////////
                                        ERC20 STORAGE
              //////////////////////////////////////////////////////////////*/
              uint256 public totalSupply;
              mapping(address => uint256) public balanceOf;
              mapping(address => mapping(address => uint256)) public allowance;
              /*//////////////////////////////////////////////////////////////
                                      EIP-2612 STORAGE
              //////////////////////////////////////////////////////////////*/
              uint256 internal immutable INITIAL_CHAIN_ID;
              bytes32 internal immutable INITIAL_DOMAIN_SEPARATOR;
              mapping(address => uint256) public nonces;
              /*//////////////////////////////////////////////////////////////
                                         CONSTRUCTOR
              //////////////////////////////////////////////////////////////*/
              constructor(
                  string memory _name,
                  string memory _symbol,
                  uint8 _decimals
              ) {
                  name = _name;
                  symbol = _symbol;
                  decimals = _decimals;
                  INITIAL_CHAIN_ID = block.chainid;
                  INITIAL_DOMAIN_SEPARATOR = computeDomainSeparator();
              }
              /*//////////////////////////////////////////////////////////////
                                         ERC20 LOGIC
              //////////////////////////////////////////////////////////////*/
              function approve(address spender, uint256 amount) public virtual returns (bool) {
                  allowance[msg.sender][spender] = amount;
                  emit Approval(msg.sender, spender, amount);
                  return true;
              }
              function transfer(address to, uint256 amount) public virtual returns (bool) {
                  balanceOf[msg.sender] -= amount;
                  // Cannot overflow because the sum of all user
                  // balances can't exceed the max uint256 value.
                  unchecked {
                      balanceOf[to] += amount;
                  }
                  emit Transfer(msg.sender, to, amount);
                  return true;
              }
              function transferFrom(
                  address from,
                  address to,
                  uint256 amount
              ) public virtual returns (bool) {
                  uint256 allowed = allowance[from][msg.sender]; // Saves gas for limited approvals.
                  if (allowed != type(uint256).max) allowance[from][msg.sender] = allowed - amount;
                  balanceOf[from] -= amount;
                  // Cannot overflow because the sum of all user
                  // balances can't exceed the max uint256 value.
                  unchecked {
                      balanceOf[to] += amount;
                  }
                  emit Transfer(from, to, amount);
                  return true;
              }
              /*//////////////////////////////////////////////////////////////
                                       EIP-2612 LOGIC
              //////////////////////////////////////////////////////////////*/
              function permit(
                  address owner,
                  address spender,
                  uint256 value,
                  uint256 deadline,
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              ) public virtual {
                  require(deadline >= block.timestamp, "PERMIT_DEADLINE_EXPIRED");
                  // Unchecked because the only math done is incrementing
                  // the owner's nonce which cannot realistically overflow.
                  unchecked {
                      address recoveredAddress = ecrecover(
                          keccak256(
                              abi.encodePacked(
                                  "\\x19\\x01",
                                  DOMAIN_SEPARATOR(),
                                  keccak256(
                                      abi.encode(
                                          keccak256(
                                              "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
                                          ),
                                          owner,
                                          spender,
                                          value,
                                          nonces[owner]++,
                                          deadline
                                      )
                                  )
                              )
                          ),
                          v,
                          r,
                          s
                      );
                      require(recoveredAddress != address(0) && recoveredAddress == owner, "INVALID_SIGNER");
                      allowance[recoveredAddress][spender] = value;
                  }
                  emit Approval(owner, spender, value);
              }
              function DOMAIN_SEPARATOR() public view virtual returns (bytes32) {
                  return block.chainid == INITIAL_CHAIN_ID ? INITIAL_DOMAIN_SEPARATOR : computeDomainSeparator();
              }
              function computeDomainSeparator() internal view virtual returns (bytes32) {
                  return
                      keccak256(
                          abi.encode(
                              keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
                              keccak256(bytes(name)),
                              keccak256("1"),
                              block.chainid,
                              address(this)
                          )
                      );
              }
              /*//////////////////////////////////////////////////////////////
                                  INTERNAL MINT/BURN LOGIC
              //////////////////////////////////////////////////////////////*/
              function _mint(address to, uint256 amount) internal virtual {
                  totalSupply += amount;
                  // Cannot overflow because the sum of all user
                  // balances can't exceed the max uint256 value.
                  unchecked {
                      balanceOf[to] += amount;
                  }
                  emit Transfer(address(0), to, amount);
              }
              function _burn(address from, uint256 amount) internal virtual {
                  balanceOf[from] -= amount;
                  // Cannot underflow because a user's balance
                  // will never be larger than the total supply.
                  unchecked {
                      totalSupply -= amount;
                  }
                  emit Transfer(from, address(0), amount);
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity 0.8.17;
          uint256 constant Bytes1_shift = 0xf8;
          uint256 constant Bytes4_shift = 0xe0;
          uint256 constant Bytes20_shift = 0x60;
          uint256 constant One_word = 0x20;
          uint256 constant Memory_pointer = 0x40;
          uint256 constant AssetType_ERC721 = 0;
          uint256 constant AssetType_ERC1155 = 1;
          uint256 constant OrderType_ASK = 0;
          uint256 constant OrderType_BID = 1;
          uint256 constant Pool_withdrawFrom_selector = 0x9555a94200000000000000000000000000000000000000000000000000000000;
          uint256 constant Pool_withdrawFrom_from_offset = 0x04;
          uint256 constant Pool_withdrawFrom_to_offset = 0x24;
          uint256 constant Pool_withdrawFrom_amount_offset = 0x44;
          uint256 constant Pool_withdrawFrom_size = 0x64;
          uint256 constant Pool_deposit_selector = 0xf340fa0100000000000000000000000000000000000000000000000000000000;
          uint256 constant Pool_deposit_user_offset = 0x04;
          uint256 constant Pool_deposit_size = 0x24;
          uint256 constant ERC20_transferFrom_selector = 0x23b872dd00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC721_safeTransferFrom_selector = 0x42842e0e00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC1155_safeTransferFrom_selector = 0xf242432a00000000000000000000000000000000000000000000000000000000;
          uint256 constant ERC20_transferFrom_size = 0x64;
          uint256 constant ERC721_safeTransferFrom_size = 0x64;
          uint256 constant ERC1155_safeTransferFrom_size = 0xc4;
          uint256 constant OracleSignatures_size = 0x59;
          uint256 constant OracleSignatures_s_offset = 0x20;
          uint256 constant OracleSignatures_v_offset = 0x40;
          uint256 constant OracleSignatures_blockNumber_offset = 0x41;
          uint256 constant OracleSignatures_oracle_offset = 0x45;
          uint256 constant Signatures_size = 0x41;
          uint256 constant Signatures_s_offset = 0x20;
          uint256 constant Signatures_v_offset = 0x40;
          uint256 constant ERC20_transferFrom_from_offset = 0x4;
          uint256 constant ERC20_transferFrom_to_offset = 0x24;
          uint256 constant ERC20_transferFrom_amount_offset = 0x44;
          uint256 constant ERC721_safeTransferFrom_from_offset = 0x4;
          uint256 constant ERC721_safeTransferFrom_to_offset = 0x24;
          uint256 constant ERC721_safeTransferFrom_id_offset = 0x44;
          uint256 constant ERC1155_safeTransferFrom_from_offset = 0x4;
          uint256 constant ERC1155_safeTransferFrom_to_offset = 0x24;
          uint256 constant ERC1155_safeTransferFrom_id_offset = 0x44;
          uint256 constant ERC1155_safeTransferFrom_amount_offset = 0x64;
          uint256 constant ERC1155_safeTransferFrom_data_pointer_offset = 0x84;
          uint256 constant ERC1155_safeTransferFrom_data_offset = 0xa4;
          uint256 constant Delegate_transfer_selector = 0xa1ccb98e00000000000000000000000000000000000000000000000000000000;
          uint256 constant Delegate_transfer_calldata_offset = 0x1c;
          uint256 constant Order_size = 0x100;
          uint256 constant Order_trader_offset = 0x00;
          uint256 constant Order_collection_offset = 0x20;
          uint256 constant Order_listingsRoot_offset = 0x40;
          uint256 constant Order_numberOfListings_offset = 0x60;
          uint256 constant Order_expirationTime_offset = 0x80;
          uint256 constant Order_assetType_offset = 0xa0;
          uint256 constant Order_makerFee_offset = 0xc0;
          uint256 constant Order_salt_offset = 0xe0;
          uint256 constant Exchange_size = 0x80;
          uint256 constant Exchange_askIndex_offset = 0x00;
          uint256 constant Exchange_proof_offset = 0x20;
          uint256 constant Exchange_maker_offset = 0x40;
          uint256 constant Exchange_taker_offset = 0x60;
          uint256 constant BidExchange_size = 0x80;
          uint256 constant BidExchange_askIndex_offset = 0x00;
          uint256 constant BidExchange_proof_offset = 0x20;
          uint256 constant BidExchange_maker_offset = 0x40;
          uint256 constant BidExchange_taker_offset = 0x60;
          uint256 constant Listing_size = 0x80;
          uint256 constant Listing_index_offset = 0x00;
          uint256 constant Listing_tokenId_offset = 0x20;
          uint256 constant Listing_amount_offset = 0x40;
          uint256 constant Listing_price_offset = 0x60;
          uint256 constant Taker_size = 0x40;
          uint256 constant Taker_tokenId_offset = 0x00;
          uint256 constant Taker_amount_offset = 0x20;
          uint256 constant StateUpdate_size = 0x80;
          uint256 constant StateUpdate_salt_offset = 0x20;
          uint256 constant StateUpdate_leaf_offset = 0x40;
          uint256 constant StateUpdate_value_offset = 0x60;
          uint256 constant Transfer_size = 0xa0;
          uint256 constant Transfer_trader_offset = 0x00;
          uint256 constant Transfer_id_offset = 0x20;
          uint256 constant Transfer_amount_offset = 0x40;
          uint256 constant Transfer_collection_offset = 0x60;
          uint256 constant Transfer_assetType_offset = 0x80;
          uint256 constant ExecutionBatch_selector_offset = 0x20;
          uint256 constant ExecutionBatch_calldata_offset = 0x40;
          uint256 constant ExecutionBatch_base_size = 0xa0; // size of the executionBatch without the flattened dynamic elements
          uint256 constant ExecutionBatch_taker_offset = 0x00;
          uint256 constant ExecutionBatch_orderType_offset = 0x20;
          uint256 constant ExecutionBatch_transfers_pointer_offset = 0x40;
          uint256 constant ExecutionBatch_length_offset = 0x60;
          uint256 constant ExecutionBatch_transfers_offset = 0x80;
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.17;
          struct TakeAsk {
              Order[] orders;
              Exchange[] exchanges;
              FeeRate takerFee;
              bytes signatures;
              address tokenRecipient;
          }
          struct TakeAskSingle {
              Order order;
              Exchange exchange;
              FeeRate takerFee;
              bytes signature;
              address tokenRecipient;
          }
          struct TakeBid {
              Order[] orders;
              Exchange[] exchanges;
              FeeRate takerFee;
              bytes signatures;
          }
          struct TakeBidSingle {
              Order order;
              Exchange exchange;
              FeeRate takerFee;
              bytes signature;
          }
          enum AssetType {
              ERC721,
              ERC1155
          }
          enum OrderType {
              ASK,
              BID
          }
          struct Exchange { // Size: 0x80
              uint256 index; // 0x00
              bytes32[] proof; // 0x20
              Listing listing; // 0x40
              Taker taker; // 0x60
          }
          struct Listing { // Size: 0x80
              uint256 index; // 0x00
              uint256 tokenId; // 0x20
              uint256 amount; // 0x40
              uint256 price; // 0x60
          }
          struct Taker { // Size: 0x40
              uint256 tokenId; // 0x00
              uint256 amount; // 0x20
          }
          struct Order { // Size: 0x100
              address trader; // 0x00
              address collection; // 0x20
              bytes32 listingsRoot; // 0x40
              uint256 numberOfListings; // 0x60
              uint256 expirationTime; // 0x80
              AssetType assetType; // 0xa0
              FeeRate makerFee; // 0xc0
              uint256 salt; // 0xe0
          }
          /*
          Reference only; struct is composed manually using calldata formatting in execution
          struct ExecutionBatch { // Size: 0x80
              address taker; // 0x00
              OrderType orderType; // 0x20
              Transfer[] transfers; // 0x40
              uint256 length; // 0x60
          }
          */
          struct Transfer { // Size: 0xa0
              address trader; // 0x00
              uint256 id; // 0x20
              uint256 amount; // 0x40
              address collection; // 0x60
              AssetType assetType; // 0x80
          }
          struct FungibleTransfers {
              uint256 totalProtocolFee;
              uint256 totalSellerTransfer;
              uint256 totalTakerFee;
              uint256 feeRecipientId;
              uint256 makerId;
              address[] feeRecipients;
              address[] makers;
              uint256[] makerTransfers;
              uint256[] feeTransfers;
              AtomicExecution[] executions;
          }
          struct AtomicExecution { // Size: 0xe0
              uint256 makerId; // 0x00
              uint256 sellerAmount; // 0x20
              uint256 makerFeeRecipientId; // 0x40
              uint256 makerFeeAmount; // 0x60
              uint256 takerFeeAmount; // 0x80
              uint256 protocolFeeAmount; // 0xa0
              StateUpdate stateUpdate; // 0xc0
          }
          struct StateUpdate { // Size: 0xa0
              address trader; // 0x00
              bytes32 hash; // 0x20
              uint256 index; // 0x40
              uint256 value; // 0x60
              uint256 maxAmount; // 0x80
          }
          struct Fees { // Size: 0x40
              FeeRate protocolFee; // 0x00
              FeeRate takerFee; // 0x20
          }
          struct FeeRate { // Size: 0x40
              address recipient; // 0x00
              uint16 rate; // 0x20
          }
          struct Cancel {
              bytes32 hash;
              uint256 index;
              uint256 amount;
          }
          

          File 5 of 5: Archetype
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (interfaces/IERC2981.sol)
          pragma solidity ^0.8.0;
          import "../utils/introspection/IERC165Upgradeable.sol";
          /**
           * @dev Interface for the NFT Royalty Standard.
           *
           * A standardized way to retrieve royalty payment information for non-fungible tokens (NFTs) to enable universal
           * support for royalty payments across all NFT marketplaces and ecosystem participants.
           *
           * _Available since v4.5._
           */
          interface IERC2981Upgradeable is IERC165Upgradeable {
              /**
               * @dev Returns how much royalty is owed and to whom, based on a sale price that may be denominated in any unit of
               * exchange. The royalty amount is denominated and should be paid in that same unit of exchange.
               */
              function royaltyInfo(uint256 tokenId, uint256 salePrice)
                  external
                  view
                  returns (address receiver, uint256 royaltyAmount);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (proxy/utils/Initializable.sol)
          pragma solidity ^0.8.2;
          import "../../utils/AddressUpgradeable.sol";
          /**
           * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
           * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
           * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
           * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
           *
           * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
           * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
           * case an upgrade adds a module that needs to be initialized.
           *
           * For example:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * contract MyToken is ERC20Upgradeable {
           *     function initialize() initializer public {
           *         __ERC20_init("MyToken", "MTK");
           *     }
           * }
           * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
           *     function initializeV2() reinitializer(2) public {
           *         __ERC20Permit_init("MyToken");
           *     }
           * }
           * ```
           *
           * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
           * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
           *
           * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
           * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
           *
           * [CAUTION]
           * ====
           * Avoid leaving a contract uninitialized.
           *
           * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
           * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
           * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
           *
           * [.hljs-theme-light.nopadding]
           * ```
           * /// @custom:oz-upgrades-unsafe-allow constructor
           * constructor() {
           *     _disableInitializers();
           * }
           * ```
           * ====
           */
          abstract contract Initializable {
              /**
               * @dev Indicates that the contract has been initialized.
               * @custom:oz-retyped-from bool
               */
              uint8 private _initialized;
              /**
               * @dev Indicates that the contract is in the process of being initialized.
               */
              bool private _initializing;
              /**
               * @dev Triggered when the contract has been initialized or reinitialized.
               */
              event Initialized(uint8 version);
              /**
               * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
               * `onlyInitializing` functions can be used to initialize parent contracts.
               *
               * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
               * constructor.
               *
               * Emits an {Initialized} event.
               */
              modifier initializer() {
                  bool isTopLevelCall = !_initializing;
                  require(
                      (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
                      "Initializable: contract is already initialized"
                  );
                  _initialized = 1;
                  if (isTopLevelCall) {
                      _initializing = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      _initializing = false;
                      emit Initialized(1);
                  }
              }
              /**
               * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
               * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
               * used to initialize parent contracts.
               *
               * A reinitializer may be used after the original initialization step. This is essential to configure modules that
               * are added through upgrades and that require initialization.
               *
               * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
               * cannot be nested. If one is invoked in the context of another, execution will revert.
               *
               * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
               * a contract, executing them in the right order is up to the developer or operator.
               *
               * WARNING: setting the version to 255 will prevent any future reinitialization.
               *
               * Emits an {Initialized} event.
               */
              modifier reinitializer(uint8 version) {
                  require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
                  _initialized = version;
                  _initializing = true;
                  _;
                  _initializing = false;
                  emit Initialized(version);
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} and {reinitializer} modifiers, directly or indirectly.
               */
              modifier onlyInitializing() {
                  require(_initializing, "Initializable: contract is not initializing");
                  _;
              }
              /**
               * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
               * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
               * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
               * through proxies.
               *
               * Emits an {Initialized} event the first time it is successfully executed.
               */
              function _disableInitializers() internal virtual {
                  require(!_initializing, "Initializable: contract is initializing");
                  if (_initialized < type(uint8).max) {
                      _initialized = type(uint8).max;
                      emit Initialized(type(uint8).max);
                  }
              }
              /**
               * @dev Internal function that returns the initialized version. Returns `_initialized`
               */
              function _getInitializedVersion() internal view returns (uint8) {
                  return _initialized;
              }
              /**
               * @dev Internal function that returns the initialized version. Returns `_initializing`
               */
              function _isInitializing() internal view returns (bool) {
                  return _initializing;
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.7.0) (token/common/ERC2981.sol)
          pragma solidity ^0.8.0;
          import "../../interfaces/IERC2981Upgradeable.sol";
          import "../../utils/introspection/ERC165Upgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation of the NFT Royalty Standard, a standardized way to retrieve royalty payment information.
           *
           * Royalty information can be specified globally for all token ids via {_setDefaultRoyalty}, and/or individually for
           * specific token ids via {_setTokenRoyalty}. The latter takes precedence over the first.
           *
           * Royalty is specified as a fraction of sale price. {_feeDenominator} is overridable but defaults to 10000, meaning the
           * fee is specified in basis points by default.
           *
           * IMPORTANT: ERC-2981 only specifies a way to signal royalty information and does not enforce its payment. See
           * https://eips.ethereum.org/EIPS/eip-2981#optional-royalty-payments[Rationale] in the EIP. Marketplaces are expected to
           * voluntarily pay royalties together with sales, but note that this standard is not yet widely supported.
           *
           * _Available since v4.5._
           */
          abstract contract ERC2981Upgradeable is Initializable, IERC2981Upgradeable, ERC165Upgradeable {
              function __ERC2981_init() internal onlyInitializing {
              }
              function __ERC2981_init_unchained() internal onlyInitializing {
              }
              struct RoyaltyInfo {
                  address receiver;
                  uint96 royaltyFraction;
              }
              RoyaltyInfo private _defaultRoyaltyInfo;
              mapping(uint256 => RoyaltyInfo) private _tokenRoyaltyInfo;
              /**
               * @dev See {IERC165-supportsInterface}.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165Upgradeable, ERC165Upgradeable) returns (bool) {
                  return interfaceId == type(IERC2981Upgradeable).interfaceId || super.supportsInterface(interfaceId);
              }
              /**
               * @inheritdoc IERC2981Upgradeable
               */
              function royaltyInfo(uint256 _tokenId, uint256 _salePrice) public view virtual override returns (address, uint256) {
                  RoyaltyInfo memory royalty = _tokenRoyaltyInfo[_tokenId];
                  if (royalty.receiver == address(0)) {
                      royalty = _defaultRoyaltyInfo;
                  }
                  uint256 royaltyAmount = (_salePrice * royalty.royaltyFraction) / _feeDenominator();
                  return (royalty.receiver, royaltyAmount);
              }
              /**
               * @dev The denominator with which to interpret the fee set in {_setTokenRoyalty} and {_setDefaultRoyalty} as a
               * fraction of the sale price. Defaults to 10000 so fees are expressed in basis points, but may be customized by an
               * override.
               */
              function _feeDenominator() internal pure virtual returns (uint96) {
                  return 10000;
              }
              /**
               * @dev Sets the royalty information that all ids in this contract will default to.
               *
               * Requirements:
               *
               * - `receiver` cannot be the zero address.
               * - `feeNumerator` cannot be greater than the fee denominator.
               */
              function _setDefaultRoyalty(address receiver, uint96 feeNumerator) internal virtual {
                  require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
                  require(receiver != address(0), "ERC2981: invalid receiver");
                  _defaultRoyaltyInfo = RoyaltyInfo(receiver, feeNumerator);
              }
              /**
               * @dev Removes default royalty information.
               */
              function _deleteDefaultRoyalty() internal virtual {
                  delete _defaultRoyaltyInfo;
              }
              /**
               * @dev Sets the royalty information for a specific token id, overriding the global default.
               *
               * Requirements:
               *
               * - `receiver` cannot be the zero address.
               * - `feeNumerator` cannot be greater than the fee denominator.
               */
              function _setTokenRoyalty(
                  uint256 tokenId,
                  address receiver,
                  uint96 feeNumerator
              ) internal virtual {
                  require(feeNumerator <= _feeDenominator(), "ERC2981: royalty fee will exceed salePrice");
                  require(receiver != address(0), "ERC2981: Invalid parameters");
                  _tokenRoyaltyInfo[tokenId] = RoyaltyInfo(receiver, feeNumerator);
              }
              /**
               * @dev Resets royalty information for the token id back to the global default.
               */
              function _resetTokenRoyalty(uint256 tokenId) internal virtual {
                  delete _tokenRoyaltyInfo[tokenId];
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[48] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Interface of the ERC20 standard as defined in the EIP.
           */
          interface IERC20Upgradeable {
              /**
               * @dev Emitted when `value` tokens are moved from one account (`from`) to
               * another (`to`).
               *
               * Note that `value` may be zero.
               */
              event Transfer(address indexed from, address indexed to, uint256 value);
              /**
               * @dev Emitted when the allowance of a `spender` for an `owner` is set by
               * a call to {approve}. `value` is the new allowance.
               */
              event Approval(address indexed owner, address indexed spender, uint256 value);
              /**
               * @dev Returns the amount of tokens in existence.
               */
              function totalSupply() external view returns (uint256);
              /**
               * @dev Returns the amount of tokens owned by `account`.
               */
              function balanceOf(address account) external view returns (uint256);
              /**
               * @dev Moves `amount` tokens from the caller's account to `to`.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * Emits a {Transfer} event.
               */
              function transfer(address to, uint256 amount) external returns (bool);
              /**
               * @dev Returns the remaining number of tokens that `spender` will be
               * allowed to spend on behalf of `owner` through {transferFrom}. This is
               * zero by default.
               *
               * This value changes when {approve} or {transferFrom} are called.
               */
              function allowance(address owner, address spender) external view returns (uint256);
              /**
               * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * IMPORTANT: Beware that changing an allowance with this method brings the risk
               * that someone may use both the old and the new allowance by unfortunate
               * transaction ordering. One possible solution to mitigate this race
               * condition is to first reduce the spender's allowance to 0 and set the
               * desired value afterwards:
               * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
               *
               * Emits an {Approval} event.
               */
              function approve(address spender, uint256 amount) external returns (bool);
              /**
               * @dev Moves `amount` tokens from `from` to `to` using the
               * allowance mechanism. `amount` is then deducted from the caller's
               * allowance.
               *
               * Returns a boolean value indicating whether the operation succeeded.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 amount
              ) external returns (bool);
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
          pragma solidity ^0.8.1;
          /**
           * @dev Collection of functions related to the address type
           */
          library AddressUpgradeable {
              /**
               * @dev Returns true if `account` is a contract.
               *
               * [IMPORTANT]
               * ====
               * It is unsafe to assume that an address for which this function returns
               * false is an externally-owned account (EOA) and not a contract.
               *
               * Among others, `isContract` will return false for the following
               * types of addresses:
               *
               *  - an externally-owned account
               *  - a contract in construction
               *  - an address where a contract will be created
               *  - an address where a contract lived, but was destroyed
               * ====
               *
               * [IMPORTANT]
               * ====
               * You shouldn't rely on `isContract` to protect against flash loan attacks!
               *
               * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
               * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
               * constructor.
               * ====
               */
              function isContract(address account) internal view returns (bool) {
                  // This method relies on extcodesize/address.code.length, which returns 0
                  // for contracts in construction, since the code is only stored at the end
                  // of the constructor execution.
                  return account.code.length > 0;
              }
              /**
               * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
               * `recipient`, forwarding all available gas and reverting on errors.
               *
               * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
               * of certain opcodes, possibly making contracts go over the 2300 gas limit
               * imposed by `transfer`, making them unable to receive funds via
               * `transfer`. {sendValue} removes this limitation.
               *
               * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
               *
               * IMPORTANT: because control is transferred to `recipient`, care must be
               * taken to not create reentrancy vulnerabilities. Consider using
               * {ReentrancyGuard} or the
               * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
               */
              function sendValue(address payable recipient, uint256 amount) internal {
                  require(address(this).balance >= amount, "Address: insufficient balance");
                  (bool success, ) = recipient.call{value: amount}("");
                  require(success, "Address: unable to send value, recipient may have reverted");
              }
              /**
               * @dev Performs a Solidity function call using a low level `call`. A
               * plain `call` is an unsafe replacement for a function call: use this
               * function instead.
               *
               * If `target` reverts with a revert reason, it is bubbled up by this
               * function (like regular Solidity function calls).
               *
               * Returns the raw returned data. To convert to the expected return value,
               * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
               *
               * Requirements:
               *
               * - `target` must be a contract.
               * - calling `target` with `data` must not revert.
               *
               * _Available since v3.1._
               */
              function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, "Address: low-level call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
               * `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, 0, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but also transferring `value` wei to `target`.
               *
               * Requirements:
               *
               * - the calling contract must have an ETH balance of at least `value`.
               * - the called Solidity function must be `payable`.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value
              ) internal returns (bytes memory) {
                  return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
              }
              /**
               * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
               * with `errorMessage` as a fallback revert reason when `target` reverts.
               *
               * _Available since v3.1._
               */
              function functionCallWithValue(
                  address target,
                  bytes memory data,
                  uint256 value,
                  string memory errorMessage
              ) internal returns (bytes memory) {
                  require(address(this).balance >= value, "Address: insufficient balance for call");
                  (bool success, bytes memory returndata) = target.call{value: value}(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                  return functionStaticCall(target, data, "Address: low-level static call failed");
              }
              /**
               * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
               * but performing a static call.
               *
               * _Available since v3.3._
               */
              function functionStaticCall(
                  address target,
                  bytes memory data,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  (bool success, bytes memory returndata) = target.staticcall(data);
                  return verifyCallResultFromTarget(target, success, returndata, errorMessage);
              }
              /**
               * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
               * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
               *
               * _Available since v4.8._
               */
              function verifyCallResultFromTarget(
                  address target,
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal view returns (bytes memory) {
                  if (success) {
                      if (returndata.length == 0) {
                          // only check isContract if the call was successful and the return data is empty
                          // otherwise we already know that it was a contract
                          require(isContract(target), "Address: call to non-contract");
                      }
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              /**
               * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
               * revert reason or using the provided one.
               *
               * _Available since v4.3._
               */
              function verifyCallResult(
                  bool success,
                  bytes memory returndata,
                  string memory errorMessage
              ) internal pure returns (bytes memory) {
                  if (success) {
                      return returndata;
                  } else {
                      _revert(returndata, errorMessage);
                  }
              }
              function _revert(bytes memory returndata, string memory errorMessage) private pure {
                  // Look for revert reason and bubble it up if present
                  if (returndata.length > 0) {
                      // The easiest way to bubble the revert reason is using memory via assembly
                      /// @solidity memory-safe-assembly
                      assembly {
                          let returndata_size := mload(returndata)
                          revert(add(32, returndata), returndata_size)
                      }
                  } else {
                      revert(errorMessage);
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)
          pragma solidity ^0.8.0;
          import "./IERC165Upgradeable.sol";
          import "../../proxy/utils/Initializable.sol";
          /**
           * @dev Implementation of the {IERC165} interface.
           *
           * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
           * for the additional interface id that will be supported. For example:
           *
           * ```solidity
           * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
           *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
           * }
           * ```
           *
           * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
           */
          abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
              function __ERC165_init() internal onlyInitializing {
              }
              function __ERC165_init_unchained() internal onlyInitializing {
              }
              /**
               * @dev See {IERC165-supportsInterface}.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                  return interfaceId == type(IERC165Upgradeable).interfaceId;
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[50] private __gap;
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
          pragma solidity ^0.8.0;
          /**
           * @dev Interface of the ERC165 standard, as defined in the
           * https://eips.ethereum.org/EIPS/eip-165[EIP].
           *
           * Implementers can declare support of contract interfaces, which can then be
           * queried by others ({ERC165Checker}).
           *
           * For an implementation, see {ERC165}.
           */
          interface IERC165Upgradeable {
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30 000 gas.
               */
              function supportsInterface(bytes4 interfaceId) external view returns (bool);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Optimized and flexible operator filterer to abide to OpenSea's
          /// mandatory on-chain royalty enforcement in order for new collections to
          /// receive royalties.
          /// For more information, see:
          /// See: https://github.com/ProjectOpenSea/operator-filter-registry
          abstract contract OperatorFilterer {
              /// @dev The default OpenSea operator blocklist subscription.
              address internal constant _DEFAULT_SUBSCRIPTION = 0x3cc6CddA760b79bAfa08dF41ECFA224f810dCeB6;
              /// @dev The OpenSea operator filter registry.
              address internal constant _OPERATOR_FILTER_REGISTRY = 0x000000000000AAeB6D7670E522A718067333cd4E;
              /// @dev Registers the current contract to OpenSea's operator filter,
              /// and subscribe to the default OpenSea operator blocklist.
              /// Note: Will not revert nor update existing settings for repeated registration.
              function _registerForOperatorFiltering() internal virtual {
                  _registerForOperatorFiltering(_DEFAULT_SUBSCRIPTION, true);
              }
              /// @dev Registers the current contract to OpenSea's operator filter.
              /// Note: Will not revert nor update existing settings for repeated registration.
              function _registerForOperatorFiltering(address subscriptionOrRegistrantToCopy, bool subscribe)
                  internal
                  virtual
              {
                  /// @solidity memory-safe-assembly
                  assembly {
                      let functionSelector := 0x7d3e3dbe // `registerAndSubscribe(address,address)`.
                      // Clean the upper 96 bits of `subscriptionOrRegistrantToCopy` in case they are dirty.
                      subscriptionOrRegistrantToCopy := shr(96, shl(96, subscriptionOrRegistrantToCopy))
                      for {} iszero(subscribe) {} {
                          if iszero(subscriptionOrRegistrantToCopy) {
                              functionSelector := 0x4420e486 // `register(address)`.
                              break
                          }
                          functionSelector := 0xa0af2903 // `registerAndCopyEntries(address,address)`.
                          break
                      }
                      // Store the function selector.
                      mstore(0x00, shl(224, functionSelector))
                      // Store the `address(this)`.
                      mstore(0x04, address())
                      // Store the `subscriptionOrRegistrantToCopy`.
                      mstore(0x24, subscriptionOrRegistrantToCopy)
                      // Register into the registry.
                      if iszero(call(gas(), _OPERATOR_FILTER_REGISTRY, 0, 0x00, 0x44, 0x00, 0x04)) {
                          // If the function selector has not been overwritten,
                          // it is an out-of-gas error.
                          if eq(shr(224, mload(0x00)), functionSelector) {
                              // To prevent gas under-estimation.
                              revert(0, 0)
                          }
                      }
                      // Restore the part of the free memory pointer that was overwritten,
                      // which is guaranteed to be zero, because of Solidity's memory size limits.
                      mstore(0x24, 0)
                  }
              }
              /// @dev Modifier to guard a function and revert if the caller is a blocked operator.
              modifier onlyAllowedOperator(address from) virtual {
                  if (from != msg.sender) {
                      if (!_isPriorityOperator(msg.sender)) {
                          if (_operatorFilteringEnabled()) _revertIfBlocked(msg.sender);
                      }
                  }
                  _;
              }
              /// @dev Modifier to guard a function from approving a blocked operator..
              modifier onlyAllowedOperatorApproval(address operator) virtual {
                  if (!_isPriorityOperator(operator)) {
                      if (_operatorFilteringEnabled()) _revertIfBlocked(operator);
                  }
                  _;
              }
              /// @dev Helper function that reverts if the `operator` is blocked by the registry.
              function _revertIfBlocked(address operator) private view {
                  /// @solidity memory-safe-assembly
                  assembly {
                      // Store the function selector of `isOperatorAllowed(address,address)`,
                      // shifted left by 6 bytes, which is enough for 8tb of memory.
                      // We waste 6-3 = 3 bytes to save on 6 runtime gas (PUSH1 0x224 SHL).
                      mstore(0x00, 0xc6171134001122334455)
                      // Store the `address(this)`.
                      mstore(0x1a, address())
                      // Store the `operator`.
                      mstore(0x3a, operator)
                      // `isOperatorAllowed` always returns true if it does not revert.
                      if iszero(staticcall(gas(), _OPERATOR_FILTER_REGISTRY, 0x16, 0x44, 0x00, 0x00)) {
                          // Bubble up the revert if the staticcall reverts.
                          returndatacopy(0x00, 0x00, returndatasize())
                          revert(0x00, returndatasize())
                      }
                      // We'll skip checking if `from` is inside the blacklist.
                      // Even though that can block transferring out of wrapper contracts,
                      // we don't want tokens to be stuck.
                      // Restore the part of the free memory pointer that was overwritten,
                      // which is guaranteed to be zero, if less than 8tb of memory is used.
                      mstore(0x3a, 0)
                  }
              }
              /// @dev For deriving contracts to override, so that operator filtering
              /// can be turned on / off.
              /// Returns true by default.
              function _operatorFilteringEnabled() internal view virtual returns (bool) {
                  return true;
              }
              /// @dev For deriving contracts to override, so that preferred marketplaces can
              /// skip operator filtering, helping users save gas.
              /// Returns false for all inputs by default.
              function _isPriorityOperator(address) internal view virtual returns (bool) {
                  return false;
              }
          }
          // SPDX-License-Identifier: MIT
          // Archetype v0.6.0
          //
          //        d8888                 888               888
          //       d88888                 888               888
          //      d88P888                 888               888
          //     d88P 888 888d888 .d8888b 88888b.   .d88b.  888888 888  888 88888b.   .d88b.
          //    d88P  888 888P"  d88P"    888 "88b d8P  Y8b 888    888  888 888 "88b d8P  Y8b
          //   d88P   888 888    888      888  888 88888888 888    888  888 888  888 88888888
          //  d8888888888 888    Y88b.    888  888 Y8b.     Y88b.  Y88b 888 888 d88P Y8b.
          // d88P     888 888     "Y8888P 888  888  "Y8888   "Y888  "Y88888 88888P"   "Y8888
          //                                                            888 888
          //                                                       Y8b d88P 888
          //                                                        "Y88P"  888
          pragma solidity ^0.8.4;
          import "./ArchetypeLogic.sol";
          import "erc721a-upgradeable/contracts/ERC721AUpgradeable.sol";
          import "erc721a-upgradeable/contracts/ERC721A__Initializable.sol";
          import "erc721a-upgradeable/contracts/extensions/ERC721AQueryableUpgradeable.sol";
          import "./ERC721A__OwnableUpgradeable.sol";
          import "solady/src/utils/LibString.sol";
          import "closedsea/src/OperatorFilterer.sol";
          import "@openzeppelin/contracts-upgradeable/token/common/ERC2981Upgradeable.sol";
          contract Archetype is
            ERC721A__Initializable,
            ERC721AUpgradeable,
            OperatorFilterer,
            ERC721A__OwnableUpgradeable,
            ERC2981Upgradeable,
            ERC721AQueryableUpgradeable
          {
            //
            // EVENTS
            //
            event Invited(bytes32 indexed key, bytes32 indexed cid);
            event Referral(address indexed affiliate, address token, uint128 wad, uint256 numMints);
            event Withdrawal(address indexed src, address token, uint128 wad);
            //
            // VARIABLES
            //
            mapping(bytes32 => DutchInvite) public invites;
            mapping(address => mapping(bytes32 => uint256)) private _minted;
            mapping(bytes32 => uint256) private _listSupply;
            mapping(address => OwnerBalance) private _ownerBalance;
            mapping(address => mapping(address => uint128)) private _affiliateBalance;
            Config public config;
            BurnConfig public burnConfig;
            Options public options;
            //
            // METHODS
            //
            function initialize(
              string memory name,
              string memory symbol,
              Config calldata config_,
              address _receiver
            ) external initializerERC721A {
              __ERC721A_init(name, symbol);
              // check max bps not reached and min platform fee.
              if (
                config_.affiliateFee > MAXBPS ||
                config_.platformFee > MAXBPS ||
                config_.platformFee < 500 ||
                config_.discounts.affiliateDiscount > MAXBPS ||
                config_.affiliateSigner == address(0) ||
                config_.maxBatchSize == 0
              ) {
                revert InvalidConfig();
              }
              // ensure mint tiers are correctly ordered from highest to lowest.
              for (uint256 i = 1; i < config_.discounts.mintTiers.length; ) {
                if (
                  config_.discounts.mintTiers[i].mintDiscount > MAXBPS ||
                  config_.discounts.mintTiers[i].numMints > config_.discounts.mintTiers[i - 1].numMints
                ) {
                  revert InvalidConfig();
                }
                unchecked {
                  ++i;
                }
              }
              config = config_;
              __Ownable_init();
              if (config.ownerAltPayout != address(0)) {
                setDefaultRoyalty(config.ownerAltPayout, config.defaultRoyalty);
              } else {
                setDefaultRoyalty(_receiver, config.defaultRoyalty);
              }
            }
            //
            // PUBLIC
            //
            function mint(
              Auth calldata auth,
              uint256 quantity,
              address affiliate,
              bytes calldata signature
            ) external payable {
              mintTo(auth, quantity, _msgSender(), affiliate, signature);
            }
            function batchMintTo(
              Auth calldata auth,
              address[] calldata toList,
              uint256[] calldata quantityList,
              address affiliate,
              bytes calldata signature
            ) external payable {
              if (quantityList.length != toList.length) {
                revert InvalidConfig();
              }
              DutchInvite storage invite = invites[auth.key];
              uint256 curSupply = _totalMinted();
              uint256 quantity;
              for (uint256 i; i < toList.length; ) {
                uint256 quantityToAdd;
                if (invite.unitSize > 1) {
                  quantityToAdd = quantityList[i] * invite.unitSize;
                } else {
                  quantityToAdd = quantityList[i];
                }
                quantity += quantityToAdd;
                _mint(toList[i], quantityToAdd);
                unchecked {
                  ++i;
                }
              }
              ArchetypeLogic.validateMint(
                invite,
                config,
                auth,
                quantity,
                owner(),
                affiliate,
                curSupply,
                _minted,
                _listSupply,
                signature
              );
              if (invite.limit < invite.maxSupply) {
                _minted[_msgSender()][auth.key] += quantity;
              }
              if (invite.maxSupply < config.maxSupply) {
                _listSupply[auth.key] += quantity;
              }
              ArchetypeLogic.updateBalances(
                invite,
                config,
                _ownerBalance,
                _affiliateBalance,
                affiliate,
                quantity
              );
            }
            function mintTo(
              Auth calldata auth,
              uint256 quantity,
              address to,
              address affiliate,
              bytes calldata signature
            ) public payable {
              DutchInvite storage i = invites[auth.key];
              if (i.unitSize > 1) {
                quantity = quantity * i.unitSize;
              }
              uint256 curSupply = _totalMinted();
              ArchetypeLogic.validateMint(
                i,
                config,
                auth,
                quantity,
                owner(),
                affiliate,
                curSupply,
                _minted,
                _listSupply,
                signature
              );
              _mint(to, quantity);
              if (i.limit < i.maxSupply) {
                _minted[_msgSender()][auth.key] += quantity;
              }
              if (i.maxSupply < config.maxSupply) {
                _listSupply[auth.key] += quantity;
              }
              ArchetypeLogic.updateBalances(i, config, _ownerBalance, _affiliateBalance, affiliate, quantity);
            }
            function burnToMint(uint256[] calldata tokenIds) external {
              uint256 curSupply = _totalMinted();
              ArchetypeLogic.validateBurnToMint(config, burnConfig, tokenIds, curSupply, _minted);
              address msgSender = _msgSender();
              for (uint256 i; i < tokenIds.length; ) {
                address burnAddress = burnConfig.burnAddress != address(0)
                  ? burnConfig.burnAddress
                  : address(0x000000000000000000000000000000000000dEaD);
                burnConfig.archetype.transferFrom(msgSender, burnAddress, tokenIds[i]);
                unchecked {
                  ++i;
                }
              }
              uint256 quantity = burnConfig.reversed
                ? tokenIds.length * burnConfig.ratio
                : tokenIds.length / burnConfig.ratio;
              _mint(msgSender, quantity);
              if (burnConfig.limit < config.maxSupply) {
                _minted[msgSender][bytes32("burn")] += quantity;
              }
            }
            function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
              if (!_exists(tokenId)) revert URIQueryForNonexistentToken();
              return
                bytes(config.baseUri).length != 0
                  ? string(abi.encodePacked(config.baseUri, LibString.toString(tokenId)))
                  : "";
            }
            function withdraw() external {
              address[] memory tokens = new address[](1);
              tokens[0] = address(0);
              withdrawTokens(tokens);
            }
            function withdrawTokens(address[] memory tokens) public {
              ArchetypeLogic.withdrawTokens(config, _ownerBalance, _affiliateBalance, owner(), tokens);
            }
            function ownerBalance() external view returns (OwnerBalance memory) {
              return _ownerBalance[address(0)];
            }
            function ownerBalanceToken(address token) external view returns (OwnerBalance memory) {
              return _ownerBalance[token];
            }
            function affiliateBalance(address affiliate) external view returns (uint128) {
              return _affiliateBalance[affiliate][address(0)];
            }
            function affiliateBalanceToken(address affiliate, address token) external view returns (uint128) {
              return _affiliateBalance[affiliate][token];
            }
            function minted(address minter, bytes32 key) external view returns (uint256) {
              return _minted[minter][key];
            }
            function listSupply(bytes32 key) external view returns (uint256) {
              return _listSupply[key];
            }
            function platform() external pure returns (address) {
              return PLATFORM;
            }
            function computePrice(
              bytes32 key,
              uint256 quantity,
              bool affiliateUsed
            ) external view returns (uint256) {
              DutchInvite storage i = invites[key];
              return ArchetypeLogic.computePrice(i, config.discounts, quantity, affiliateUsed);
            }
            //
            // OWNER ONLY
            //
            function setBaseURI(string memory baseUri) external _onlyOwner {
              if (options.uriLocked) {
                revert LockedForever();
              }
              config.baseUri = baseUri;
            }
            /// @notice the password is "forever"
            function lockURI(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.uriLocked = true;
            }
            /// @notice the password is "forever"
            // max supply cannot subceed total supply. Be careful changing.
            function setMaxSupply(uint32 maxSupply, string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              if (options.maxSupplyLocked) {
                revert LockedForever();
              }
              if (maxSupply < _totalMinted()) {
                revert MaxSupplyExceeded();
              }
              config.maxSupply = maxSupply;
            }
            /// @notice the password is "forever"
            function lockMaxSupply(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.maxSupplyLocked = true;
            }
            function setAffiliateFee(uint16 affiliateFee) external _onlyOwner {
              if (options.affiliateFeeLocked) {
                revert LockedForever();
              }
              if (affiliateFee > MAXBPS) {
                revert InvalidConfig();
              }
              config.affiliateFee = affiliateFee;
            }
            /// @notice the password is "forever"
            function lockAffiliateFee(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.affiliateFeeLocked = true;
            }
            function setDiscounts(Discount calldata discounts) external _onlyOwner {
              if (options.discountsLocked) {
                revert LockedForever();
              }
              if (discounts.affiliateDiscount > MAXBPS) {
                revert InvalidConfig();
              }
              // ensure mint tiers are correctly ordered from highest to lowest.
              for (uint256 i = 1; i < discounts.mintTiers.length; ) {
                if (
                  discounts.mintTiers[i].mintDiscount > MAXBPS ||
                  discounts.mintTiers[i].numMints > discounts.mintTiers[i - 1].numMints
                ) {
                  revert InvalidConfig();
                }
                unchecked {
                  ++i;
                }
              }
              config.discounts = discounts;
            }
            /// @notice the password is "forever"
            function lockDiscounts(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.discountsLocked = true;
            }
            function setOwnerAltPayout(address ownerAltPayout) external _onlyOwner {
              if (options.ownerAltPayoutLocked) {
                revert LockedForever();
              }
              config.ownerAltPayout = ownerAltPayout;
            }
            /// @notice the password is "forever"
            function lockOwnerAltPayout(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.ownerAltPayoutLocked = true;
            }
            function setMaxBatchSize(uint32 maxBatchSize) external _onlyOwner {
              config.maxBatchSize = maxBatchSize;
            }
            function setInvite(
              bytes32 _key,
              bytes32 _cid,
              Invite calldata _invite
            ) external _onlyOwner {
              invites[_key] = DutchInvite({
                price: _invite.price,
                reservePrice: _invite.price,
                delta: 0,
                start: _invite.start,
                end: _invite.end,
                limit: _invite.limit,
                maxSupply: _invite.maxSupply,
                interval: 0,
                unitSize: _invite.unitSize,
                tokenAddress: _invite.tokenAddress
              });
              emit Invited(_key, _cid);
            }
            function setDutchInvite(
              bytes32 _key,
              bytes32 _cid,
              DutchInvite memory _dutchInvite
            ) external _onlyOwner {
              if (_dutchInvite.start < block.timestamp) {
                _dutchInvite.start = uint32(block.timestamp);
              }
              invites[_key] = _dutchInvite;
              emit Invited(_key, _cid);
            }
            function enableBurnToMint(
              address archetype,
              address burnAddress,
              bool reversed,
              uint16 ratio,
              uint64 start,
              uint64 limit
            ) external _onlyOwner {
              burnConfig = BurnConfig({
                archetype: IERC721AUpgradeable(archetype),
                burnAddress: burnAddress,
                enabled: true,
                reversed: reversed,
                ratio: ratio,
                start: start,
                limit: limit
              });
            }
            function disableBurnToMint() external _onlyOwner {
              burnConfig = BurnConfig({
                archetype: IERC721AUpgradeable(address(0)),
                burnAddress: address(0),
                enabled: false,
                reversed: false,
                ratio: 0,
                start: 0,
                limit: 0
              });
            }
            //
            // PLATFORM ONLY
            //
            function setSuperAffiliatePayout(address superAffiliatePayout) external _onlyPlatform {
              config.superAffiliatePayout = superAffiliatePayout;
            }
            //
            // INTERNAL
            //
            function _startTokenId() internal view virtual override returns (uint256) {
              return 1;
            }
            function _msgSender() internal view returns (address) {
              return msg.sender == BATCH ? tx.origin : msg.sender;
            }
            modifier _onlyPlatform() {
              if (_msgSender() != PLATFORM) {
                revert NotPlatform();
              }
              _;
            }
            modifier _onlyOwner() {
              if (_msgSender() != owner()) {
                revert NotOwner();
              }
              _;
            }
            // OPTIONAL ROYALTY ENFORCEMENT WITH OPENSEA
            function enableRoyaltyEnforcement() external _onlyOwner {
              if (options.royaltyEnforcementLocked) {
                revert LockedForever();
              }
              _registerForOperatorFiltering();
              options.royaltyEnforcementEnabled = true;
            }
            function disableRoyaltyEnforcement() external _onlyOwner {
              if (options.royaltyEnforcementLocked) {
                revert LockedForever();
              }
              options.royaltyEnforcementEnabled = false;
            }
            /// @notice the password is "forever"
            function lockRoyaltyEnforcement(string memory password) external _onlyOwner {
              if (keccak256(abi.encodePacked(password)) != keccak256(abi.encodePacked("forever"))) {
                revert WrongPassword();
              }
              options.royaltyEnforcementLocked = true;
            }
            function setApprovalForAll(address operator, bool approved)
              public
              override
              onlyAllowedOperatorApproval(operator)
            {
              super.setApprovalForAll(operator, approved);
            }
            function approve(address operator, uint256 tokenId)
              public
              payable
              override
              onlyAllowedOperatorApproval(operator)
            {
              super.approve(operator, tokenId);
            }
            function transferFrom(
              address from,
              address to,
              uint256 tokenId
            ) public payable override onlyAllowedOperator(from) {
              super.transferFrom(from, to, tokenId);
            }
            function safeTransferFrom(
              address from,
              address to,
              uint256 tokenId
            ) public payable override onlyAllowedOperator(from) {
              super.safeTransferFrom(from, to, tokenId);
            }
            function safeTransferFrom(
              address from,
              address to,
              uint256 tokenId,
              bytes memory data
            ) public payable override onlyAllowedOperator(from) {
              super.safeTransferFrom(from, to, tokenId, data);
            }
            function _operatorFilteringEnabled() internal view override returns (bool) {
              return options.royaltyEnforcementEnabled;
            }
            //ERC2981 ROYALTY
            function supportsInterface(bytes4 interfaceId)
              public
              view
              virtual
              override(ERC721AUpgradeable, ERC2981Upgradeable)
              returns (bool)
            {
              // Supports the following `interfaceId`s:
              // - IERC165: 0x01ffc9a7
              // - IERC721: 0x80ac58cd
              // - IERC721Metadata: 0x5b5e139f
              // - IERC2981: 0x2a55205a
              return
                ERC721AUpgradeable.supportsInterface(interfaceId) ||
                ERC2981Upgradeable.supportsInterface(interfaceId);
            }
            function setDefaultRoyalty(address receiver, uint16 feeNumerator) public _onlyOwner {
              config.defaultRoyalty = feeNumerator;
              _setDefaultRoyalty(receiver, feeNumerator);
            }
          }
          // SPDX-License-Identifier: MIT
          // ArchetypeLogic v0.6.0
          //
          //        d8888                 888               888
          //       d88888                 888               888
          //      d88P888                 888               888
          //     d88P 888 888d888 .d8888b 88888b.   .d88b.  888888 888  888 88888b.   .d88b.
          //    d88P  888 888P"  d88P"    888 "88b d8P  Y8b 888    888  888 888 "88b d8P  Y8b
          //   d88P   888 888    888      888  888 88888888 888    888  888 888  888 88888888
          //  d8888888888 888    Y88b.    888  888 Y8b.     Y88b.  Y88b 888 888 d88P Y8b.
          // d88P     888 888     "Y8888P 888  888  "Y8888   "Y888  "Y88888 88888P"   "Y8888
          //                                                            888 888
          //                                                       Y8b d88P 888
          //                                                        "Y88P"  888
          pragma solidity ^0.8.4;
          import "erc721a-upgradeable/contracts/ERC721AUpgradeable.sol";
          import "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
          import "solady/src/utils/MerkleProofLib.sol";
          import "solady/src/utils/ECDSA.sol";
          error InvalidConfig();
          error MintNotYetStarted();
          error MintEnded();
          error WalletUnauthorizedToMint();
          error InsufficientEthSent();
          error ExcessiveEthSent();
          error Erc20BalanceTooLow();
          error MaxSupplyExceeded();
          error ListMaxSupplyExceeded();
          error NumberOfMintsExceeded();
          error MintingPaused();
          error InvalidReferral();
          error InvalidSignature();
          error BalanceEmpty();
          error TransferFailed();
          error MaxBatchSizeExceeded();
          error BurnToMintDisabled();
          error NotTokenOwner();
          error NotPlatform();
          error NotOwner();
          error NotApprovedToTransfer();
          error InvalidAmountOfTokens();
          error WrongPassword();
          error LockedForever();
          //
          // STRUCTS
          //
          struct Auth {
            bytes32 key;
            bytes32[] proof;
          }
          struct MintTier {
            uint16 numMints;
            uint16 mintDiscount; //BPS
          }
          struct Discount {
            uint16 affiliateDiscount; //BPS
            MintTier[] mintTiers;
          }
          struct Config {
            string baseUri;
            address affiliateSigner;
            address ownerAltPayout; // optional alternative address for owner withdrawals.
            address superAffiliatePayout; // optional super affiliate address, will receive half of platform fee if set.
            uint32 maxSupply;
            uint32 maxBatchSize;
            uint16 affiliateFee; //BPS
            uint16 platformFee; //BPS
            uint16 defaultRoyalty; //BPS
            Discount discounts;
          }
          struct Options {
            bool uriLocked;
            bool maxSupplyLocked;
            bool affiliateFeeLocked;
            bool discountsLocked;
            bool ownerAltPayoutLocked;
            bool royaltyEnforcementEnabled;
            bool royaltyEnforcementLocked;
          }
          struct DutchInvite {
            uint128 price;
            uint128 reservePrice;
            uint128 delta;
            uint32 start;
            uint32 end;
            uint32 limit;
            uint32 maxSupply;
            uint32 interval;
            uint32 unitSize; // mint 1 get x
            address tokenAddress;
          }
          struct Invite {
            uint128 price;
            uint32 start;
            uint32 end;
            uint32 limit;
            uint32 maxSupply;
            uint32 unitSize; // mint 1 get x
            address tokenAddress;
          }
          struct OwnerBalance {
            uint128 owner;
            uint128 platform;
          }
          struct BurnConfig {
            IERC721AUpgradeable archetype;
            address burnAddress;
            bool enabled;
            bool reversed; // side of the ratio (false=burn {ratio} get 1, true=burn 1 get {ratio})
            uint16 ratio;
            uint64 start;
            uint64 limit;
          }
          address constant PLATFORM = 0x86B82972282Dd22348374bC63fd21620F7ED847B;
          address constant BATCH = 0x6Bc558A6DC48dEfa0e7022713c23D65Ab26e4Fa7;
          uint16 constant MAXBPS = 5000; // max fee or discount is 50%
          library ArchetypeLogic {
            //
            // EVENTS
            //
            event Invited(bytes32 indexed key, bytes32 indexed cid);
            event Referral(address indexed affiliate, address token, uint128 wad, uint256 numMints);
            event Withdrawal(address indexed src, address token, uint128 wad);
            // calculate price based on affiliate usage and mint discounts
            function computePrice(
              DutchInvite storage invite,
              Discount storage discounts,
              uint256 numTokens,
              bool affiliateUsed
            ) public view returns (uint256) {
              uint256 price = invite.price;
              if (invite.interval != 0) {
                uint256 diff = (((block.timestamp - invite.start) / invite.interval) * invite.delta);
                if (price > invite.reservePrice) {
                  if (diff > price - invite.reservePrice) {
                    price = invite.reservePrice;
                  } else {
                    price = price - diff;
                  }
                } else if (price < invite.reservePrice) {
                  if (diff > invite.reservePrice - price) {
                    price = invite.reservePrice;
                  } else {
                    price = price + diff;
                  }
                }
              }
              uint256 cost = price * numTokens;
              if (affiliateUsed) {
                cost = cost - ((cost * discounts.affiliateDiscount) / 10000);
              }
              uint256 numMints = discounts.mintTiers.length;
              for (uint256 i; i < numMints; ) {
                uint256 tierNumMints = discounts.mintTiers[i].numMints;
                if (numTokens >= tierNumMints) {
                  return cost - ((cost * discounts.mintTiers[i].mintDiscount) / 10000);
                }
                unchecked {
                  ++i;
                }
              }
              return cost;
            }
            function validateMint(
              DutchInvite storage i,
              Config storage config,
              Auth calldata auth,
              uint256 quantity,
              address owner,
              address affiliate,
              uint256 curSupply,
              mapping(address => mapping(bytes32 => uint256)) storage minted,
              mapping(bytes32 => uint256) storage listSupply,
              bytes calldata signature
            ) public view {
              address msgSender = _msgSender();
              if (affiliate != address(0)) {
                if (affiliate == PLATFORM || affiliate == owner || affiliate == msgSender) {
                  revert InvalidReferral();
                }
                validateAffiliate(affiliate, signature, config.affiliateSigner);
              }
              if (i.limit == 0) {
                revert MintingPaused();
              }
              if (!verify(auth, i.tokenAddress, msgSender)) {
                revert WalletUnauthorizedToMint();
              }
              if (block.timestamp < i.start) {
                revert MintNotYetStarted();
              }
              if (i.end > i.start && block.timestamp > i.end) {
                revert MintEnded();
              }
              if (i.limit < i.maxSupply) {
                uint256 totalAfterMint = minted[msgSender][auth.key] + quantity;
                if (totalAfterMint > i.limit) {
                  revert NumberOfMintsExceeded();
                }
              }
              if (i.maxSupply < config.maxSupply) {
                uint256 totalAfterMint = listSupply[auth.key] + quantity;
                if (totalAfterMint > i.maxSupply) {
                  revert ListMaxSupplyExceeded();
                }
              }
              if (quantity > config.maxBatchSize) {
                revert MaxBatchSizeExceeded();
              }
              if ((curSupply + quantity) > config.maxSupply) {
                revert MaxSupplyExceeded();
              }
              uint256 cost = computePrice(i, config.discounts, quantity, affiliate != address(0));
              if (i.tokenAddress != address(0)) {
                IERC20Upgradeable erc20Token = IERC20Upgradeable(i.tokenAddress);
                if (erc20Token.allowance(msgSender, address(this)) < cost) {
                  revert NotApprovedToTransfer();
                }
                if (erc20Token.balanceOf(msgSender) < cost) {
                  revert Erc20BalanceTooLow();
                }
                if (msg.value != 0) {
                  revert ExcessiveEthSent();
                }
              } else {
                if (msg.value < cost) {
                  revert InsufficientEthSent();
                }
                if (msg.value > cost) {
                  revert ExcessiveEthSent();
                }
              }
            }
            function validateBurnToMint(
              Config storage config,
              BurnConfig storage burnConfig,
              uint256[] calldata tokenIds,
              uint256 curSupply,
              mapping(address => mapping(bytes32 => uint256)) storage minted
            ) public view {
              if (!burnConfig.enabled) {
                revert BurnToMintDisabled();
              }
              if (block.timestamp < burnConfig.start) {
                revert MintNotYetStarted();
              }
              // check if msgSender owns tokens and has correct approvals
              address msgSender = _msgSender();
              for (uint256 i; i < tokenIds.length; ) {
                if (burnConfig.archetype.ownerOf(tokenIds[i]) != msgSender) {
                  revert NotTokenOwner();
                }
                unchecked {
                  ++i;
                }
              }
              if (!burnConfig.archetype.isApprovedForAll(msgSender, address(this))) {
                revert NotApprovedToTransfer();
              }
              uint256 quantity;
              if (burnConfig.reversed) {
                quantity = tokenIds.length * burnConfig.ratio;
              } else {
                if (tokenIds.length % burnConfig.ratio != 0) {
                  revert InvalidAmountOfTokens();
                }
                quantity = tokenIds.length / burnConfig.ratio;
              }
              if (quantity > config.maxBatchSize) {
                revert MaxBatchSizeExceeded();
              }
              if (burnConfig.limit < config.maxSupply) {
                uint256 totalAfterMint = minted[msgSender][bytes32("burn")] + quantity;
                if (totalAfterMint > burnConfig.limit) {
                  revert NumberOfMintsExceeded();
                }
              }
              if ((curSupply + quantity) > config.maxSupply) {
                revert MaxSupplyExceeded();
              }
            }
            function updateBalances(
              DutchInvite storage i,
              Config storage config,
              mapping(address => OwnerBalance) storage _ownerBalance,
              mapping(address => mapping(address => uint128)) storage _affiliateBalance,
              address affiliate,
              uint256 quantity
            ) public {
              address tokenAddress = i.tokenAddress;
              uint128 value = uint128(msg.value);
              if (tokenAddress != address(0)) {
                value = uint128(computePrice(i, config.discounts, quantity, affiliate != address(0)));
              }
              uint128 affiliateWad;
              if (affiliate != address(0)) {
                affiliateWad = (value * config.affiliateFee) / 10000;
                _affiliateBalance[affiliate][tokenAddress] += affiliateWad;
                emit Referral(affiliate, tokenAddress, affiliateWad, quantity);
              }
              uint128 superAffiliateWad;
              if (config.superAffiliatePayout != address(0)) {
                superAffiliateWad = ((value * config.platformFee) / 2) / 10000;
                _affiliateBalance[config.superAffiliatePayout][tokenAddress] += superAffiliateWad;
              }
              OwnerBalance memory balance = _ownerBalance[tokenAddress];
              uint128 platformWad = ((value * config.platformFee) / 10000) - superAffiliateWad;
              uint128 ownerWad = value - affiliateWad - platformWad - superAffiliateWad;
              _ownerBalance[tokenAddress] = OwnerBalance({
                owner: balance.owner + ownerWad,
                platform: balance.platform + platformWad
              });
              if (tokenAddress != address(0)) {
                IERC20Upgradeable erc20Token = IERC20Upgradeable(tokenAddress);
                erc20Token.transferFrom(_msgSender(), address(this), value);
              }
            }
            function withdrawTokens(
              Config storage config,
              mapping(address => OwnerBalance) storage _ownerBalance,
              mapping(address => mapping(address => uint128)) storage _affiliateBalance,
              address owner,
              address[] calldata tokens
            ) public {
              address msgSender = _msgSender();
              for (uint256 i; i < tokens.length; ) {
                address tokenAddress = tokens[i];
                uint128 wad;
                if (msgSender == owner || msgSender == config.ownerAltPayout || msgSender == PLATFORM) {
                  OwnerBalance storage balance = _ownerBalance[tokenAddress];
                  if (msgSender == owner || msgSender == config.ownerAltPayout) {
                    wad = balance.owner;
                    balance.owner = 0;
                  } else {
                    wad = balance.platform;
                    balance.platform = 0;
                  }
                } else {
                  wad = _affiliateBalance[msgSender][tokenAddress];
                  _affiliateBalance[msgSender][tokenAddress] = 0;
                }
                if (wad == 0) {
                  revert BalanceEmpty();
                }
                if (tokenAddress == address(0)) {
                  bool success = false;
                  // send to ownerAltPayout if set and owner is withdrawing
                  if (msgSender == owner && config.ownerAltPayout != address(0)) {
                    (success, ) = payable(config.ownerAltPayout).call{ value: wad }("");
                  } else {
                    (success, ) = msgSender.call{ value: wad }("");
                  }
                  if (!success) {
                    revert TransferFailed();
                  }
                } else {
                  IERC20Upgradeable erc20Token = IERC20Upgradeable(tokenAddress);
                  if (msgSender == owner && config.ownerAltPayout != address(0)) {
                    erc20Token.transfer(config.ownerAltPayout, wad);
                  } else {
                    erc20Token.transfer(msgSender, wad);
                  }
                }
                emit Withdrawal(msgSender, tokenAddress, wad);
                unchecked {
                  ++i;
                }
              }
            }
            function validateAffiliate(
              address affiliate,
              bytes calldata signature,
              address affiliateSigner
            ) public view {
              bytes32 signedMessagehash = ECDSA.toEthSignedMessageHash(
                keccak256(abi.encodePacked(affiliate))
              );
              address signer = ECDSA.recover(signedMessagehash, signature);
              if (signer != affiliateSigner) {
                revert InvalidSignature();
              }
            }
            function verify(
              Auth calldata auth,
              address tokenAddress,
              address account
            ) public pure returns (bool) {
              // keys 0-255 and tokenAddress are public
              if (uint256(auth.key) <= 0xff || auth.key == keccak256(abi.encodePacked(tokenAddress))) {
                return true;
              }
              return MerkleProofLib.verify(auth.proof, auth.key, keccak256(abi.encodePacked(account)));
            }
            function _msgSender() internal view returns (address) {
              return msg.sender == BATCH ? tx.origin : msg.sender;
            }
          }
          // SPDX-License-Identifier: MIT
          // OpenZeppelin Contracts v4.4.1 (access/Ownable.sol)
          import 'erc721a-upgradeable/contracts/ERC721A__Initializable.sol';
          import 'erc721a-upgradeable/contracts/ERC721AUpgradeable.sol';
          pragma solidity ^0.8.4;
          /**
           * @dev Contract module which provides a basic access control mechanism, where
           * there is an account (an owner) that can be granted exclusive access to
           * specific functions.
           *
           * By default, the owner account will be the one that deploys the contract. This
           * can later be changed with {transferOwnership}.
           *
           * This module is used through inheritance. It will make available the modifier
           * `onlyOwner`, which can be applied to your functions to restrict their use to
           * the owner.
           */
          abstract contract ERC721A__OwnableUpgradeable is ERC721A__Initializable, ERC721AUpgradeable {
              address private _owner;
              event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
              /**
               * @dev Initializes the contract setting the deployer as the initial owner.
               */
              function __Ownable_init() internal onlyInitializingERC721A {
                  __Ownable_init_unchained();
              }
              function __Ownable_init_unchained() internal onlyInitializingERC721A {
                  _transferOwnership(_msgSenderERC721A());
              }
              /**
               * @dev Returns the address of the current owner.
               */
              function owner() public view virtual returns (address) {
                  return _owner;
              }
              /**
               * @dev Throws if called by any account other than the owner.
               */
              modifier onlyOwner() {
                  _isOwner();
                  _;
              }
              function _isOwner() internal view {
                  require(owner() == _msgSenderERC721A(), "Ownable: caller is not the owner");
              }
              /**
               * @dev Leaves the contract without owner. It will not be possible to call
               * `onlyOwner` functions anymore. Can only be called by the current owner.
               *
               * NOTE: Renouncing ownership will leave the contract without an owner,
               * thereby removing any functionality that is only available to the owner.
               */
              function renounceOwnership() public virtual onlyOwner {
                  _transferOwnership(address(0));
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Can only be called by the current owner.
               */
              function transferOwnership(address newOwner) public virtual onlyOwner {
                  require(newOwner != address(0), "Ownable: new owner is the zero address");
                  _transferOwnership(newOwner);
              }
              /**
               * @dev Transfers ownership of the contract to a new account (`newOwner`).
               * Internal function without access restriction.
               */
              function _transferOwnership(address newOwner) internal virtual {
                  address oldOwner = _owner;
                  _owner = newOwner;
                  emit OwnershipTransferred(oldOwner, newOwner);
              }
              /**
               * @dev This empty reserved space is put in place to allow future versions to add new
               * variables without shifting down storage in the inheritance chain.
               * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
               */
              uint256[49] private __gap;
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          /**
           * @dev This is a base contract to aid in writing upgradeable diamond facet contracts, or any kind of contract that will be deployed
           * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
           * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
           * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
           *
           * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
           * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
           *
           * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
           * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
           */
          import {ERC721A__InitializableStorage} from './ERC721A__InitializableStorage.sol';
          abstract contract ERC721A__Initializable {
              using ERC721A__InitializableStorage for ERC721A__InitializableStorage.Layout;
              /**
               * @dev Modifier to protect an initializer function from being invoked twice.
               */
              modifier initializerERC721A() {
                  // If the contract is initializing we ignore whether _initialized is set in order to support multiple
                  // inheritance patterns, but we only do this in the context of a constructor, because in other contexts the
                  // contract may have been reentered.
                  require(
                      ERC721A__InitializableStorage.layout()._initializing
                          ? _isConstructor()
                          : !ERC721A__InitializableStorage.layout()._initialized,
                      'ERC721A__Initializable: contract is already initialized'
                  );
                  bool isTopLevelCall = !ERC721A__InitializableStorage.layout()._initializing;
                  if (isTopLevelCall) {
                      ERC721A__InitializableStorage.layout()._initializing = true;
                      ERC721A__InitializableStorage.layout()._initialized = true;
                  }
                  _;
                  if (isTopLevelCall) {
                      ERC721A__InitializableStorage.layout()._initializing = false;
                  }
              }
              /**
               * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
               * {initializer} modifier, directly or indirectly.
               */
              modifier onlyInitializingERC721A() {
                  require(
                      ERC721A__InitializableStorage.layout()._initializing,
                      'ERC721A__Initializable: contract is not initializing'
                  );
                  _;
              }
              /// @dev Returns true if and only if the function is running in the constructor
              function _isConstructor() private view returns (bool) {
                  // extcodesize checks the size of the code stored in an address, and
                  // address returns the current address. Since the code is still not
                  // deployed when running a constructor, any checks on its code size will
                  // yield zero, making it an effective way to detect if a contract is
                  // under construction or not.
                  address self = address(this);
                  uint256 cs;
                  assembly {
                      cs := extcodesize(self)
                  }
                  return cs == 0;
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          /**
           * @dev This is a base storage for the  initialization function for upgradeable diamond facet contracts
           **/
          library ERC721A__InitializableStorage {
              struct Layout {
                  /*
                   * Indicates that the contract has been initialized.
                   */
                  bool _initialized;
                  /*
                   * Indicates that the contract is in the process of being initialized.
                   */
                  bool _initializing;
              }
              bytes32 internal constant STORAGE_SLOT = keccak256('ERC721A.contracts.storage.initializable.facet');
              function layout() internal pure returns (Layout storage l) {
                  bytes32 slot = STORAGE_SLOT;
                  assembly {
                      l.slot := slot
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.0;
          library ERC721AStorage {
              // Bypass for a `--via-ir` bug (https://github.com/chiru-labs/ERC721A/pull/364).
              struct TokenApprovalRef {
                  address value;
              }
              struct Layout {
                  // =============================================================
                  //                            STORAGE
                  // =============================================================
                  // The next token ID to be minted.
                  uint256 _currentIndex;
                  // The number of tokens burned.
                  uint256 _burnCounter;
                  // Token name
                  string _name;
                  // Token symbol
                  string _symbol;
                  // Mapping from token ID to ownership details
                  // An empty struct value does not necessarily mean the token is unowned.
                  // See {_packedOwnershipOf} implementation for details.
                  //
                  // Bits Layout:
                  // - [0..159]   `addr`
                  // - [160..223] `startTimestamp`
                  // - [224]      `burned`
                  // - [225]      `nextInitialized`
                  // - [232..255] `extraData`
                  mapping(uint256 => uint256) _packedOwnerships;
                  // Mapping owner address to address data.
                  //
                  // Bits Layout:
                  // - [0..63]    `balance`
                  // - [64..127]  `numberMinted`
                  // - [128..191] `numberBurned`
                  // - [192..255] `aux`
                  mapping(address => uint256) _packedAddressData;
                  // Mapping from token ID to approved address.
                  mapping(uint256 => ERC721AStorage.TokenApprovalRef) _tokenApprovals;
                  // Mapping from owner to operator approvals
                  mapping(address => mapping(address => bool)) _operatorApprovals;
              }
              bytes32 internal constant STORAGE_SLOT = keccak256('ERC721A.contracts.storage.ERC721A');
              function layout() internal pure returns (Layout storage l) {
                  bytes32 slot = STORAGE_SLOT;
                  assembly {
                      l.slot := slot
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import './IERC721AUpgradeable.sol';
          import {ERC721AStorage} from './ERC721AStorage.sol';
          import './ERC721A__Initializable.sol';
          /**
           * @dev Interface of ERC721 token receiver.
           */
          interface ERC721A__IERC721ReceiverUpgradeable {
              function onERC721Received(
                  address operator,
                  address from,
                  uint256 tokenId,
                  bytes calldata data
              ) external returns (bytes4);
          }
          /**
           * @title ERC721A
           *
           * @dev Implementation of the [ERC721](https://eips.ethereum.org/EIPS/eip-721)
           * Non-Fungible Token Standard, including the Metadata extension.
           * Optimized for lower gas during batch mints.
           *
           * Token IDs are minted in sequential order (e.g. 0, 1, 2, 3, ...)
           * starting from `_startTokenId()`.
           *
           * Assumptions:
           *
           * - An owner cannot have more than 2**64 - 1 (max value of uint64) of supply.
           * - The maximum token ID cannot exceed 2**256 - 1 (max value of uint256).
           */
          contract ERC721AUpgradeable is ERC721A__Initializable, IERC721AUpgradeable {
              using ERC721AStorage for ERC721AStorage.Layout;
              // =============================================================
              //                           CONSTANTS
              // =============================================================
              // Mask of an entry in packed address data.
              uint256 private constant _BITMASK_ADDRESS_DATA_ENTRY = (1 << 64) - 1;
              // The bit position of `numberMinted` in packed address data.
              uint256 private constant _BITPOS_NUMBER_MINTED = 64;
              // The bit position of `numberBurned` in packed address data.
              uint256 private constant _BITPOS_NUMBER_BURNED = 128;
              // The bit position of `aux` in packed address data.
              uint256 private constant _BITPOS_AUX = 192;
              // Mask of all 256 bits in packed address data except the 64 bits for `aux`.
              uint256 private constant _BITMASK_AUX_COMPLEMENT = (1 << 192) - 1;
              // The bit position of `startTimestamp` in packed ownership.
              uint256 private constant _BITPOS_START_TIMESTAMP = 160;
              // The bit mask of the `burned` bit in packed ownership.
              uint256 private constant _BITMASK_BURNED = 1 << 224;
              // The bit position of the `nextInitialized` bit in packed ownership.
              uint256 private constant _BITPOS_NEXT_INITIALIZED = 225;
              // The bit mask of the `nextInitialized` bit in packed ownership.
              uint256 private constant _BITMASK_NEXT_INITIALIZED = 1 << 225;
              // The bit position of `extraData` in packed ownership.
              uint256 private constant _BITPOS_EXTRA_DATA = 232;
              // Mask of all 256 bits in a packed ownership except the 24 bits for `extraData`.
              uint256 private constant _BITMASK_EXTRA_DATA_COMPLEMENT = (1 << 232) - 1;
              // The mask of the lower 160 bits for addresses.
              uint256 private constant _BITMASK_ADDRESS = (1 << 160) - 1;
              // The maximum `quantity` that can be minted with {_mintERC2309}.
              // This limit is to prevent overflows on the address data entries.
              // For a limit of 5000, a total of 3.689e15 calls to {_mintERC2309}
              // is required to cause an overflow, which is unrealistic.
              uint256 private constant _MAX_MINT_ERC2309_QUANTITY_LIMIT = 5000;
              // The `Transfer` event signature is given by:
              // `keccak256(bytes("Transfer(address,address,uint256)"))`.
              bytes32 private constant _TRANSFER_EVENT_SIGNATURE =
                  0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef;
              // =============================================================
              //                          CONSTRUCTOR
              // =============================================================
              function __ERC721A_init(string memory name_, string memory symbol_) internal onlyInitializingERC721A {
                  __ERC721A_init_unchained(name_, symbol_);
              }
              function __ERC721A_init_unchained(string memory name_, string memory symbol_) internal onlyInitializingERC721A {
                  ERC721AStorage.layout()._name = name_;
                  ERC721AStorage.layout()._symbol = symbol_;
                  ERC721AStorage.layout()._currentIndex = _startTokenId();
              }
              // =============================================================
              //                   TOKEN COUNTING OPERATIONS
              // =============================================================
              /**
               * @dev Returns the starting token ID.
               * To change the starting token ID, please override this function.
               */
              function _startTokenId() internal view virtual returns (uint256) {
                  return 0;
              }
              /**
               * @dev Returns the next token ID to be minted.
               */
              function _nextTokenId() internal view virtual returns (uint256) {
                  return ERC721AStorage.layout()._currentIndex;
              }
              /**
               * @dev Returns the total number of tokens in existence.
               * Burned tokens will reduce the count.
               * To get the total number of tokens minted, please see {_totalMinted}.
               */
              function totalSupply() public view virtual override returns (uint256) {
                  // Counter underflow is impossible as _burnCounter cannot be incremented
                  // more than `_currentIndex - _startTokenId()` times.
                  unchecked {
                      return ERC721AStorage.layout()._currentIndex - ERC721AStorage.layout()._burnCounter - _startTokenId();
                  }
              }
              /**
               * @dev Returns the total amount of tokens minted in the contract.
               */
              function _totalMinted() internal view virtual returns (uint256) {
                  // Counter underflow is impossible as `_currentIndex` does not decrement,
                  // and it is initialized to `_startTokenId()`.
                  unchecked {
                      return ERC721AStorage.layout()._currentIndex - _startTokenId();
                  }
              }
              /**
               * @dev Returns the total number of tokens burned.
               */
              function _totalBurned() internal view virtual returns (uint256) {
                  return ERC721AStorage.layout()._burnCounter;
              }
              // =============================================================
              //                    ADDRESS DATA OPERATIONS
              // =============================================================
              /**
               * @dev Returns the number of tokens in `owner`'s account.
               */
              function balanceOf(address owner) public view virtual override returns (uint256) {
                  if (owner == address(0)) revert BalanceQueryForZeroAddress();
                  return ERC721AStorage.layout()._packedAddressData[owner] & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the number of tokens minted by `owner`.
               */
              function _numberMinted(address owner) internal view returns (uint256) {
                  return
                      (ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_NUMBER_MINTED) & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the number of tokens burned by or on behalf of `owner`.
               */
              function _numberBurned(address owner) internal view returns (uint256) {
                  return
                      (ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_NUMBER_BURNED) & _BITMASK_ADDRESS_DATA_ENTRY;
              }
              /**
               * Returns the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
               */
              function _getAux(address owner) internal view returns (uint64) {
                  return uint64(ERC721AStorage.layout()._packedAddressData[owner] >> _BITPOS_AUX);
              }
              /**
               * Sets the auxiliary data for `owner`. (e.g. number of whitelist mint slots used).
               * If there are multiple variables, please pack them into a uint64.
               */
              function _setAux(address owner, uint64 aux) internal virtual {
                  uint256 packed = ERC721AStorage.layout()._packedAddressData[owner];
                  uint256 auxCasted;
                  // Cast `aux` with assembly to avoid redundant masking.
                  assembly {
                      auxCasted := aux
                  }
                  packed = (packed & _BITMASK_AUX_COMPLEMENT) | (auxCasted << _BITPOS_AUX);
                  ERC721AStorage.layout()._packedAddressData[owner] = packed;
              }
              // =============================================================
              //                            IERC165
              // =============================================================
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30000 gas.
               */
              function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                  // The interface IDs are constants representing the first 4 bytes
                  // of the XOR of all function selectors in the interface.
                  // See: [ERC165](https://eips.ethereum.org/EIPS/eip-165)
                  // (e.g. `bytes4(i.functionA.selector ^ i.functionB.selector ^ ...)`)
                  return
                      interfaceId == 0x01ffc9a7 || // ERC165 interface ID for ERC165.
                      interfaceId == 0x80ac58cd || // ERC165 interface ID for ERC721.
                      interfaceId == 0x5b5e139f; // ERC165 interface ID for ERC721Metadata.
              }
              // =============================================================
              //                        IERC721Metadata
              // =============================================================
              /**
               * @dev Returns the token collection name.
               */
              function name() public view virtual override returns (string memory) {
                  return ERC721AStorage.layout()._name;
              }
              /**
               * @dev Returns the token collection symbol.
               */
              function symbol() public view virtual override returns (string memory) {
                  return ERC721AStorage.layout()._symbol;
              }
              /**
               * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
               */
              function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
                  if (!_exists(tokenId)) revert URIQueryForNonexistentToken();
                  string memory baseURI = _baseURI();
                  return bytes(baseURI).length != 0 ? string(abi.encodePacked(baseURI, _toString(tokenId))) : '';
              }
              /**
               * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
               * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
               * by default, it can be overridden in child contracts.
               */
              function _baseURI() internal view virtual returns (string memory) {
                  return '';
              }
              // =============================================================
              //                     OWNERSHIPS OPERATIONS
              // =============================================================
              /**
               * @dev Returns the owner of the `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function ownerOf(uint256 tokenId) public view virtual override returns (address) {
                  return address(uint160(_packedOwnershipOf(tokenId)));
              }
              /**
               * @dev Gas spent here starts off proportional to the maximum mint batch size.
               * It gradually moves to O(1) as tokens get transferred around over time.
               */
              function _ownershipOf(uint256 tokenId) internal view virtual returns (TokenOwnership memory) {
                  return _unpackedOwnership(_packedOwnershipOf(tokenId));
              }
              /**
               * @dev Returns the unpacked `TokenOwnership` struct at `index`.
               */
              function _ownershipAt(uint256 index) internal view virtual returns (TokenOwnership memory) {
                  return _unpackedOwnership(ERC721AStorage.layout()._packedOwnerships[index]);
              }
              /**
               * @dev Initializes the ownership slot minted at `index` for efficiency purposes.
               */
              function _initializeOwnershipAt(uint256 index) internal virtual {
                  if (ERC721AStorage.layout()._packedOwnerships[index] == 0) {
                      ERC721AStorage.layout()._packedOwnerships[index] = _packedOwnershipOf(index);
                  }
              }
              /**
               * Returns the packed ownership data of `tokenId`.
               */
              function _packedOwnershipOf(uint256 tokenId) private view returns (uint256 packed) {
                  if (_startTokenId() <= tokenId) {
                      packed = ERC721AStorage.layout()._packedOwnerships[tokenId];
                      // If not burned.
                      if (packed & _BITMASK_BURNED == 0) {
                          // If the data at the starting slot does not exist, start the scan.
                          if (packed == 0) {
                              if (tokenId >= ERC721AStorage.layout()._currentIndex) revert OwnerQueryForNonexistentToken();
                              // Invariant:
                              // There will always be an initialized ownership slot
                              // (i.e. `ownership.addr != address(0) && ownership.burned == false`)
                              // before an unintialized ownership slot
                              // (i.e. `ownership.addr == address(0) && ownership.burned == false`)
                              // Hence, `tokenId` will not underflow.
                              //
                              // We can directly compare the packed value.
                              // If the address is zero, packed will be zero.
                              for (;;) {
                                  unchecked {
                                      packed = ERC721AStorage.layout()._packedOwnerships[--tokenId];
                                  }
                                  if (packed == 0) continue;
                                  return packed;
                              }
                          }
                          // Otherwise, the data exists and is not burned. We can skip the scan.
                          // This is possible because we have already achieved the target condition.
                          // This saves 2143 gas on transfers of initialized tokens.
                          return packed;
                      }
                  }
                  revert OwnerQueryForNonexistentToken();
              }
              /**
               * @dev Returns the unpacked `TokenOwnership` struct from `packed`.
               */
              function _unpackedOwnership(uint256 packed) private pure returns (TokenOwnership memory ownership) {
                  ownership.addr = address(uint160(packed));
                  ownership.startTimestamp = uint64(packed >> _BITPOS_START_TIMESTAMP);
                  ownership.burned = packed & _BITMASK_BURNED != 0;
                  ownership.extraData = uint24(packed >> _BITPOS_EXTRA_DATA);
              }
              /**
               * @dev Packs ownership data into a single uint256.
               */
              function _packOwnershipData(address owner, uint256 flags) private view returns (uint256 result) {
                  assembly {
                      // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      owner := and(owner, _BITMASK_ADDRESS)
                      // `owner | (block.timestamp << _BITPOS_START_TIMESTAMP) | flags`.
                      result := or(owner, or(shl(_BITPOS_START_TIMESTAMP, timestamp()), flags))
                  }
              }
              /**
               * @dev Returns the `nextInitialized` flag set if `quantity` equals 1.
               */
              function _nextInitializedFlag(uint256 quantity) private pure returns (uint256 result) {
                  // For branchless setting of the `nextInitialized` flag.
                  assembly {
                      // `(quantity == 1) << _BITPOS_NEXT_INITIALIZED`.
                      result := shl(_BITPOS_NEXT_INITIALIZED, eq(quantity, 1))
                  }
              }
              // =============================================================
              //                      APPROVAL OPERATIONS
              // =============================================================
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account. See {ERC721A-_approve}.
               *
               * Requirements:
               *
               * - The caller must own the token or be an approved operator.
               */
              function approve(address to, uint256 tokenId) public payable virtual override {
                  _approve(to, tokenId, true);
              }
              /**
               * @dev Returns the account approved for `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function getApproved(uint256 tokenId) public view virtual override returns (address) {
                  if (!_exists(tokenId)) revert ApprovalQueryForNonexistentToken();
                  return ERC721AStorage.layout()._tokenApprovals[tokenId].value;
              }
              /**
               * @dev Approve or remove `operator` as an operator for the caller.
               * Operators can call {transferFrom} or {safeTransferFrom}
               * for any token owned by the caller.
               *
               * Requirements:
               *
               * - The `operator` cannot be the caller.
               *
               * Emits an {ApprovalForAll} event.
               */
              function setApprovalForAll(address operator, bool approved) public virtual override {
                  ERC721AStorage.layout()._operatorApprovals[_msgSenderERC721A()][operator] = approved;
                  emit ApprovalForAll(_msgSenderERC721A(), operator, approved);
              }
              /**
               * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
               *
               * See {setApprovalForAll}.
               */
              function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
                  return ERC721AStorage.layout()._operatorApprovals[owner][operator];
              }
              /**
               * @dev Returns whether `tokenId` exists.
               *
               * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
               *
               * Tokens start existing when they are minted. See {_mint}.
               */
              function _exists(uint256 tokenId) internal view virtual returns (bool) {
                  return
                      _startTokenId() <= tokenId &&
                      tokenId < ERC721AStorage.layout()._currentIndex && // If within bounds,
                      ERC721AStorage.layout()._packedOwnerships[tokenId] & _BITMASK_BURNED == 0; // and not burned.
              }
              /**
               * @dev Returns whether `msgSender` is equal to `approvedAddress` or `owner`.
               */
              function _isSenderApprovedOrOwner(
                  address approvedAddress,
                  address owner,
                  address msgSender
              ) private pure returns (bool result) {
                  assembly {
                      // Mask `owner` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      owner := and(owner, _BITMASK_ADDRESS)
                      // Mask `msgSender` to the lower 160 bits, in case the upper bits somehow aren't clean.
                      msgSender := and(msgSender, _BITMASK_ADDRESS)
                      // `msgSender == owner || msgSender == approvedAddress`.
                      result := or(eq(msgSender, owner), eq(msgSender, approvedAddress))
                  }
              }
              /**
               * @dev Returns the storage slot and value for the approved address of `tokenId`.
               */
              function _getApprovedSlotAndAddress(uint256 tokenId)
                  private
                  view
                  returns (uint256 approvedAddressSlot, address approvedAddress)
              {
                  ERC721AStorage.TokenApprovalRef storage tokenApproval = ERC721AStorage.layout()._tokenApprovals[tokenId];
                  // The following is equivalent to `approvedAddress = _tokenApprovals[tokenId].value`.
                  assembly {
                      approvedAddressSlot := tokenApproval.slot
                      approvedAddress := sload(approvedAddressSlot)
                  }
              }
              // =============================================================
              //                      TRANSFER OPERATIONS
              // =============================================================
              /**
               * @dev Transfers `tokenId` from `from` to `to`.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) public payable virtual override {
                  uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);
                  if (address(uint160(prevOwnershipPacked)) != from) revert TransferFromIncorrectOwner();
                  (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);
                  // The nested ifs save around 20+ gas over a compound boolean condition.
                  if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                      if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();
                  if (to == address(0)) revert TransferToZeroAddress();
                  _beforeTokenTransfers(from, to, tokenId, 1);
                  // Clear approvals from the previous owner.
                  assembly {
                      if approvedAddress {
                          // This is equivalent to `delete _tokenApprovals[tokenId]`.
                          sstore(approvedAddressSlot, 0)
                      }
                  }
                  // Underflow of the sender's balance is impossible because we check for
                  // ownership above and the recipient's balance can't realistically overflow.
                  // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
                  unchecked {
                      // We can directly increment and decrement the balances.
                      --ERC721AStorage.layout()._packedAddressData[from]; // Updates: `balance -= 1`.
                      ++ERC721AStorage.layout()._packedAddressData[to]; // Updates: `balance += 1`.
                      // Updates:
                      // - `address` to the next owner.
                      // - `startTimestamp` to the timestamp of transfering.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `true`.
                      ERC721AStorage.layout()._packedOwnerships[tokenId] = _packOwnershipData(
                          to,
                          _BITMASK_NEXT_INITIALIZED | _nextExtraData(from, to, prevOwnershipPacked)
                      );
                      // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
                      if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                          uint256 nextTokenId = tokenId + 1;
                          // If the next slot's address is zero and not burned (i.e. packed value is zero).
                          if (ERC721AStorage.layout()._packedOwnerships[nextTokenId] == 0) {
                              // If the next slot is within bounds.
                              if (nextTokenId != ERC721AStorage.layout()._currentIndex) {
                                  // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                                  ERC721AStorage.layout()._packedOwnerships[nextTokenId] = prevOwnershipPacked;
                              }
                          }
                      }
                  }
                  emit Transfer(from, to, tokenId);
                  _afterTokenTransfers(from, to, tokenId, 1);
              }
              /**
               * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) public payable virtual override {
                  safeTransferFrom(from, to, tokenId, '');
              }
              /**
               * @dev Safely transfers `tokenId` token from `from` to `to`.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must exist and be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
               *
               * Emits a {Transfer} event.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes memory _data
              ) public payable virtual override {
                  transferFrom(from, to, tokenId);
                  if (to.code.length != 0)
                      if (!_checkContractOnERC721Received(from, to, tokenId, _data)) {
                          revert TransferToNonERC721ReceiverImplementer();
                      }
              }
              /**
               * @dev Hook that is called before a set of serially-ordered token IDs
               * are about to be transferred. This includes minting.
               * And also called before burning one token.
               *
               * `startTokenId` - the first token ID to be transferred.
               * `quantity` - the amount to be transferred.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
               * transferred to `to`.
               * - When `from` is zero, `tokenId` will be minted for `to`.
               * - When `to` is zero, `tokenId` will be burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _beforeTokenTransfers(
                  address from,
                  address to,
                  uint256 startTokenId,
                  uint256 quantity
              ) internal virtual {}
              /**
               * @dev Hook that is called after a set of serially-ordered token IDs
               * have been transferred. This includes minting.
               * And also called after one token has been burned.
               *
               * `startTokenId` - the first token ID to be transferred.
               * `quantity` - the amount to be transferred.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` has been
               * transferred to `to`.
               * - When `from` is zero, `tokenId` has been minted for `to`.
               * - When `to` is zero, `tokenId` has been burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _afterTokenTransfers(
                  address from,
                  address to,
                  uint256 startTokenId,
                  uint256 quantity
              ) internal virtual {}
              /**
               * @dev Private function to invoke {IERC721Receiver-onERC721Received} on a target contract.
               *
               * `from` - Previous owner of the given token ID.
               * `to` - Target address that will receive the token.
               * `tokenId` - Token ID to be transferred.
               * `_data` - Optional data to send along with the call.
               *
               * Returns whether the call correctly returned the expected magic value.
               */
              function _checkContractOnERC721Received(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes memory _data
              ) private returns (bool) {
                  try
                      ERC721A__IERC721ReceiverUpgradeable(to).onERC721Received(_msgSenderERC721A(), from, tokenId, _data)
                  returns (bytes4 retval) {
                      return retval == ERC721A__IERC721ReceiverUpgradeable(to).onERC721Received.selector;
                  } catch (bytes memory reason) {
                      if (reason.length == 0) {
                          revert TransferToNonERC721ReceiverImplementer();
                      } else {
                          assembly {
                              revert(add(32, reason), mload(reason))
                          }
                      }
                  }
              }
              // =============================================================
              //                        MINT OPERATIONS
              // =============================================================
              /**
               * @dev Mints `quantity` tokens and transfers them to `to`.
               *
               * Requirements:
               *
               * - `to` cannot be the zero address.
               * - `quantity` must be greater than 0.
               *
               * Emits a {Transfer} event for each mint.
               */
              function _mint(address to, uint256 quantity) internal virtual {
                  uint256 startTokenId = ERC721AStorage.layout()._currentIndex;
                  if (quantity == 0) revert MintZeroQuantity();
                  _beforeTokenTransfers(address(0), to, startTokenId, quantity);
                  // Overflows are incredibly unrealistic.
                  // `balance` and `numberMinted` have a maximum limit of 2**64.
                  // `tokenId` has a maximum limit of 2**256.
                  unchecked {
                      // Updates:
                      // - `balance += quantity`.
                      // - `numberMinted += quantity`.
                      //
                      // We can directly add to the `balance` and `numberMinted`.
                      ERC721AStorage.layout()._packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);
                      // Updates:
                      // - `address` to the owner.
                      // - `startTimestamp` to the timestamp of minting.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `quantity == 1`.
                      ERC721AStorage.layout()._packedOwnerships[startTokenId] = _packOwnershipData(
                          to,
                          _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
                      );
                      uint256 toMasked;
                      uint256 end = startTokenId + quantity;
                      // Use assembly to loop and emit the `Transfer` event for gas savings.
                      // The duplicated `log4` removes an extra check and reduces stack juggling.
                      // The assembly, together with the surrounding Solidity code, have been
                      // delicately arranged to nudge the compiler into producing optimized opcodes.
                      assembly {
                          // Mask `to` to the lower 160 bits, in case the upper bits somehow aren't clean.
                          toMasked := and(to, _BITMASK_ADDRESS)
                          // Emit the `Transfer` event.
                          log4(
                              0, // Start of data (0, since no data).
                              0, // End of data (0, since no data).
                              _TRANSFER_EVENT_SIGNATURE, // Signature.
                              0, // `address(0)`.
                              toMasked, // `to`.
                              startTokenId // `tokenId`.
                          )
                          // The `iszero(eq(,))` check ensures that large values of `quantity`
                          // that overflows uint256 will make the loop run out of gas.
                          // The compiler will optimize the `iszero` away for performance.
                          for {
                              let tokenId := add(startTokenId, 1)
                          } iszero(eq(tokenId, end)) {
                              tokenId := add(tokenId, 1)
                          } {
                              // Emit the `Transfer` event. Similar to above.
                              log4(0, 0, _TRANSFER_EVENT_SIGNATURE, 0, toMasked, tokenId)
                          }
                      }
                      if (toMasked == 0) revert MintToZeroAddress();
                      ERC721AStorage.layout()._currentIndex = end;
                  }
                  _afterTokenTransfers(address(0), to, startTokenId, quantity);
              }
              /**
               * @dev Mints `quantity` tokens and transfers them to `to`.
               *
               * This function is intended for efficient minting only during contract creation.
               *
               * It emits only one {ConsecutiveTransfer} as defined in
               * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309),
               * instead of a sequence of {Transfer} event(s).
               *
               * Calling this function outside of contract creation WILL make your contract
               * non-compliant with the ERC721 standard.
               * For full ERC721 compliance, substituting ERC721 {Transfer} event(s) with the ERC2309
               * {ConsecutiveTransfer} event is only permissible during contract creation.
               *
               * Requirements:
               *
               * - `to` cannot be the zero address.
               * - `quantity` must be greater than 0.
               *
               * Emits a {ConsecutiveTransfer} event.
               */
              function _mintERC2309(address to, uint256 quantity) internal virtual {
                  uint256 startTokenId = ERC721AStorage.layout()._currentIndex;
                  if (to == address(0)) revert MintToZeroAddress();
                  if (quantity == 0) revert MintZeroQuantity();
                  if (quantity > _MAX_MINT_ERC2309_QUANTITY_LIMIT) revert MintERC2309QuantityExceedsLimit();
                  _beforeTokenTransfers(address(0), to, startTokenId, quantity);
                  // Overflows are unrealistic due to the above check for `quantity` to be below the limit.
                  unchecked {
                      // Updates:
                      // - `balance += quantity`.
                      // - `numberMinted += quantity`.
                      //
                      // We can directly add to the `balance` and `numberMinted`.
                      ERC721AStorage.layout()._packedAddressData[to] += quantity * ((1 << _BITPOS_NUMBER_MINTED) | 1);
                      // Updates:
                      // - `address` to the owner.
                      // - `startTimestamp` to the timestamp of minting.
                      // - `burned` to `false`.
                      // - `nextInitialized` to `quantity == 1`.
                      ERC721AStorage.layout()._packedOwnerships[startTokenId] = _packOwnershipData(
                          to,
                          _nextInitializedFlag(quantity) | _nextExtraData(address(0), to, 0)
                      );
                      emit ConsecutiveTransfer(startTokenId, startTokenId + quantity - 1, address(0), to);
                      ERC721AStorage.layout()._currentIndex = startTokenId + quantity;
                  }
                  _afterTokenTransfers(address(0), to, startTokenId, quantity);
              }
              /**
               * @dev Safely mints `quantity` tokens and transfers them to `to`.
               *
               * Requirements:
               *
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called for each safe transfer.
               * - `quantity` must be greater than 0.
               *
               * See {_mint}.
               *
               * Emits a {Transfer} event for each mint.
               */
              function _safeMint(
                  address to,
                  uint256 quantity,
                  bytes memory _data
              ) internal virtual {
                  _mint(to, quantity);
                  unchecked {
                      if (to.code.length != 0) {
                          uint256 end = ERC721AStorage.layout()._currentIndex;
                          uint256 index = end - quantity;
                          do {
                              if (!_checkContractOnERC721Received(address(0), to, index++, _data)) {
                                  revert TransferToNonERC721ReceiverImplementer();
                              }
                          } while (index < end);
                          // Reentrancy protection.
                          if (ERC721AStorage.layout()._currentIndex != end) revert();
                      }
                  }
              }
              /**
               * @dev Equivalent to `_safeMint(to, quantity, '')`.
               */
              function _safeMint(address to, uint256 quantity) internal virtual {
                  _safeMint(to, quantity, '');
              }
              // =============================================================
              //                       APPROVAL OPERATIONS
              // =============================================================
              /**
               * @dev Equivalent to `_approve(to, tokenId, false)`.
               */
              function _approve(address to, uint256 tokenId) internal virtual {
                  _approve(to, tokenId, false);
              }
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account.
               * The approval is cleared when the token is transferred.
               *
               * Only a single account can be approved at a time, so approving the
               * zero address clears previous approvals.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               *
               * Emits an {Approval} event.
               */
              function _approve(
                  address to,
                  uint256 tokenId,
                  bool approvalCheck
              ) internal virtual {
                  address owner = ownerOf(tokenId);
                  if (approvalCheck)
                      if (_msgSenderERC721A() != owner)
                          if (!isApprovedForAll(owner, _msgSenderERC721A())) {
                              revert ApprovalCallerNotOwnerNorApproved();
                          }
                  ERC721AStorage.layout()._tokenApprovals[tokenId].value = to;
                  emit Approval(owner, to, tokenId);
              }
              // =============================================================
              //                        BURN OPERATIONS
              // =============================================================
              /**
               * @dev Equivalent to `_burn(tokenId, false)`.
               */
              function _burn(uint256 tokenId) internal virtual {
                  _burn(tokenId, false);
              }
              /**
               * @dev Destroys `tokenId`.
               * The approval is cleared when the token is burned.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               *
               * Emits a {Transfer} event.
               */
              function _burn(uint256 tokenId, bool approvalCheck) internal virtual {
                  uint256 prevOwnershipPacked = _packedOwnershipOf(tokenId);
                  address from = address(uint160(prevOwnershipPacked));
                  (uint256 approvedAddressSlot, address approvedAddress) = _getApprovedSlotAndAddress(tokenId);
                  if (approvalCheck) {
                      // The nested ifs save around 20+ gas over a compound boolean condition.
                      if (!_isSenderApprovedOrOwner(approvedAddress, from, _msgSenderERC721A()))
                          if (!isApprovedForAll(from, _msgSenderERC721A())) revert TransferCallerNotOwnerNorApproved();
                  }
                  _beforeTokenTransfers(from, address(0), tokenId, 1);
                  // Clear approvals from the previous owner.
                  assembly {
                      if approvedAddress {
                          // This is equivalent to `delete _tokenApprovals[tokenId]`.
                          sstore(approvedAddressSlot, 0)
                      }
                  }
                  // Underflow of the sender's balance is impossible because we check for
                  // ownership above and the recipient's balance can't realistically overflow.
                  // Counter overflow is incredibly unrealistic as `tokenId` would have to be 2**256.
                  unchecked {
                      // Updates:
                      // - `balance -= 1`.
                      // - `numberBurned += 1`.
                      //
                      // We can directly decrement the balance, and increment the number burned.
                      // This is equivalent to `packed -= 1; packed += 1 << _BITPOS_NUMBER_BURNED;`.
                      ERC721AStorage.layout()._packedAddressData[from] += (1 << _BITPOS_NUMBER_BURNED) - 1;
                      // Updates:
                      // - `address` to the last owner.
                      // - `startTimestamp` to the timestamp of burning.
                      // - `burned` to `true`.
                      // - `nextInitialized` to `true`.
                      ERC721AStorage.layout()._packedOwnerships[tokenId] = _packOwnershipData(
                          from,
                          (_BITMASK_BURNED | _BITMASK_NEXT_INITIALIZED) | _nextExtraData(from, address(0), prevOwnershipPacked)
                      );
                      // If the next slot may not have been initialized (i.e. `nextInitialized == false`) .
                      if (prevOwnershipPacked & _BITMASK_NEXT_INITIALIZED == 0) {
                          uint256 nextTokenId = tokenId + 1;
                          // If the next slot's address is zero and not burned (i.e. packed value is zero).
                          if (ERC721AStorage.layout()._packedOwnerships[nextTokenId] == 0) {
                              // If the next slot is within bounds.
                              if (nextTokenId != ERC721AStorage.layout()._currentIndex) {
                                  // Initialize the next slot to maintain correctness for `ownerOf(tokenId + 1)`.
                                  ERC721AStorage.layout()._packedOwnerships[nextTokenId] = prevOwnershipPacked;
                              }
                          }
                      }
                  }
                  emit Transfer(from, address(0), tokenId);
                  _afterTokenTransfers(from, address(0), tokenId, 1);
                  // Overflow not possible, as _burnCounter cannot be exceed _currentIndex times.
                  unchecked {
                      ERC721AStorage.layout()._burnCounter++;
                  }
              }
              // =============================================================
              //                     EXTRA DATA OPERATIONS
              // =============================================================
              /**
               * @dev Directly sets the extra data for the ownership data `index`.
               */
              function _setExtraDataAt(uint256 index, uint24 extraData) internal virtual {
                  uint256 packed = ERC721AStorage.layout()._packedOwnerships[index];
                  if (packed == 0) revert OwnershipNotInitializedForExtraData();
                  uint256 extraDataCasted;
                  // Cast `extraData` with assembly to avoid redundant masking.
                  assembly {
                      extraDataCasted := extraData
                  }
                  packed = (packed & _BITMASK_EXTRA_DATA_COMPLEMENT) | (extraDataCasted << _BITPOS_EXTRA_DATA);
                  ERC721AStorage.layout()._packedOwnerships[index] = packed;
              }
              /**
               * @dev Called during each token transfer to set the 24bit `extraData` field.
               * Intended to be overridden by the cosumer contract.
               *
               * `previousExtraData` - the value of `extraData` before transfer.
               *
               * Calling conditions:
               *
               * - When `from` and `to` are both non-zero, `from`'s `tokenId` will be
               * transferred to `to`.
               * - When `from` is zero, `tokenId` will be minted for `to`.
               * - When `to` is zero, `tokenId` will be burned by `from`.
               * - `from` and `to` are never both zero.
               */
              function _extraData(
                  address from,
                  address to,
                  uint24 previousExtraData
              ) internal view virtual returns (uint24) {}
              /**
               * @dev Returns the next extra data for the packed ownership data.
               * The returned result is shifted into position.
               */
              function _nextExtraData(
                  address from,
                  address to,
                  uint256 prevOwnershipPacked
              ) private view returns (uint256) {
                  uint24 extraData = uint24(prevOwnershipPacked >> _BITPOS_EXTRA_DATA);
                  return uint256(_extraData(from, to, extraData)) << _BITPOS_EXTRA_DATA;
              }
              // =============================================================
              //                       OTHER OPERATIONS
              // =============================================================
              /**
               * @dev Returns the message sender (defaults to `msg.sender`).
               *
               * If you are writing GSN compatible contracts, you need to override this function.
               */
              function _msgSenderERC721A() internal view virtual returns (address) {
                  return msg.sender;
              }
              /**
               * @dev Converts a uint256 to its ASCII string decimal representation.
               */
              function _toString(uint256 value) internal pure virtual returns (string memory str) {
                  assembly {
                      // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
                      // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
                      // We will need 1 word for the trailing zeros padding, 1 word for the length,
                      // and 3 words for a maximum of 78 digits. Total: 5 * 0x20 = 0xa0.
                      let m := add(mload(0x40), 0xa0)
                      // Update the free memory pointer to allocate.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end of the memory to calculate the length later.
                      let end := str
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 1)
                          // Write the character to the pointer.
                          // The ASCII index of the '0' character is 48.
                          mstore8(str, add(48, mod(temp, 10)))
                          // Keep dividing `temp` until zero.
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      let length := sub(end, str)
                      // Move the pointer 32 bytes leftwards to make room for the length.
                      str := sub(str, 0x20)
                      // Store the length.
                      mstore(str, length)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import './IERC721AQueryableUpgradeable.sol';
          import '../ERC721AUpgradeable.sol';
          import '../ERC721A__Initializable.sol';
          /**
           * @title ERC721AQueryable.
           *
           * @dev ERC721A subclass with convenience query functions.
           */
          abstract contract ERC721AQueryableUpgradeable is
              ERC721A__Initializable,
              ERC721AUpgradeable,
              IERC721AQueryableUpgradeable
          {
              function __ERC721AQueryable_init() internal onlyInitializingERC721A {
                  __ERC721AQueryable_init_unchained();
              }
              function __ERC721AQueryable_init_unchained() internal onlyInitializingERC721A {}
              /**
               * @dev Returns the `TokenOwnership` struct at `tokenId` without reverting.
               *
               * If the `tokenId` is out of bounds:
               *
               * - `addr = address(0)`
               * - `startTimestamp = 0`
               * - `burned = false`
               * - `extraData = 0`
               *
               * If the `tokenId` is burned:
               *
               * - `addr = <Address of owner before token was burned>`
               * - `startTimestamp = <Timestamp when token was burned>`
               * - `burned = true`
               * - `extraData = <Extra data when token was burned>`
               *
               * Otherwise:
               *
               * - `addr = <Address of owner>`
               * - `startTimestamp = <Timestamp of start of ownership>`
               * - `burned = false`
               * - `extraData = <Extra data at start of ownership>`
               */
              function explicitOwnershipOf(uint256 tokenId) public view virtual override returns (TokenOwnership memory) {
                  TokenOwnership memory ownership;
                  if (tokenId < _startTokenId() || tokenId >= _nextTokenId()) {
                      return ownership;
                  }
                  ownership = _ownershipAt(tokenId);
                  if (ownership.burned) {
                      return ownership;
                  }
                  return _ownershipOf(tokenId);
              }
              /**
               * @dev Returns an array of `TokenOwnership` structs at `tokenIds` in order.
               * See {ERC721AQueryable-explicitOwnershipOf}
               */
              function explicitOwnershipsOf(uint256[] calldata tokenIds)
                  external
                  view
                  virtual
                  override
                  returns (TokenOwnership[] memory)
              {
                  unchecked {
                      uint256 tokenIdsLength = tokenIds.length;
                      TokenOwnership[] memory ownerships = new TokenOwnership[](tokenIdsLength);
                      for (uint256 i; i != tokenIdsLength; ++i) {
                          ownerships[i] = explicitOwnershipOf(tokenIds[i]);
                      }
                      return ownerships;
                  }
              }
              /**
               * @dev Returns an array of token IDs owned by `owner`,
               * in the range [`start`, `stop`)
               * (i.e. `start <= tokenId < stop`).
               *
               * This function allows for tokens to be queried if the collection
               * grows too big for a single call of {ERC721AQueryable-tokensOfOwner}.
               *
               * Requirements:
               *
               * - `start < stop`
               */
              function tokensOfOwnerIn(
                  address owner,
                  uint256 start,
                  uint256 stop
              ) external view virtual override returns (uint256[] memory) {
                  unchecked {
                      if (start >= stop) revert InvalidQueryRange();
                      uint256 tokenIdsIdx;
                      uint256 stopLimit = _nextTokenId();
                      // Set `start = max(start, _startTokenId())`.
                      if (start < _startTokenId()) {
                          start = _startTokenId();
                      }
                      // Set `stop = min(stop, stopLimit)`.
                      if (stop > stopLimit) {
                          stop = stopLimit;
                      }
                      uint256 tokenIdsMaxLength = balanceOf(owner);
                      // Set `tokenIdsMaxLength = min(balanceOf(owner), stop - start)`,
                      // to cater for cases where `balanceOf(owner)` is too big.
                      if (start < stop) {
                          uint256 rangeLength = stop - start;
                          if (rangeLength < tokenIdsMaxLength) {
                              tokenIdsMaxLength = rangeLength;
                          }
                      } else {
                          tokenIdsMaxLength = 0;
                      }
                      uint256[] memory tokenIds = new uint256[](tokenIdsMaxLength);
                      if (tokenIdsMaxLength == 0) {
                          return tokenIds;
                      }
                      // We need to call `explicitOwnershipOf(start)`,
                      // because the slot at `start` may not be initialized.
                      TokenOwnership memory ownership = explicitOwnershipOf(start);
                      address currOwnershipAddr;
                      // If the starting slot exists (i.e. not burned), initialize `currOwnershipAddr`.
                      // `ownership.address` will not be zero, as `start` is clamped to the valid token ID range.
                      if (!ownership.burned) {
                          currOwnershipAddr = ownership.addr;
                      }
                      for (uint256 i = start; i != stop && tokenIdsIdx != tokenIdsMaxLength; ++i) {
                          ownership = _ownershipAt(i);
                          if (ownership.burned) {
                              continue;
                          }
                          if (ownership.addr != address(0)) {
                              currOwnershipAddr = ownership.addr;
                          }
                          if (currOwnershipAddr == owner) {
                              tokenIds[tokenIdsIdx++] = i;
                          }
                      }
                      // Downsize the array to fit.
                      assembly {
                          mstore(tokenIds, tokenIdsIdx)
                      }
                      return tokenIds;
                  }
              }
              /**
               * @dev Returns an array of token IDs owned by `owner`.
               *
               * This function scans the ownership mapping and is O(`totalSupply`) in complexity.
               * It is meant to be called off-chain.
               *
               * See {ERC721AQueryable-tokensOfOwnerIn} for splitting the scan into
               * multiple smaller scans if the collection is large enough to cause
               * an out-of-gas error (10K collections should be fine).
               */
              function tokensOfOwner(address owner) external view virtual override returns (uint256[] memory) {
                  unchecked {
                      uint256 tokenIdsIdx;
                      address currOwnershipAddr;
                      uint256 tokenIdsLength = balanceOf(owner);
                      uint256[] memory tokenIds = new uint256[](tokenIdsLength);
                      TokenOwnership memory ownership;
                      for (uint256 i = _startTokenId(); tokenIdsIdx != tokenIdsLength; ++i) {
                          ownership = _ownershipAt(i);
                          if (ownership.burned) {
                              continue;
                          }
                          if (ownership.addr != address(0)) {
                              currOwnershipAddr = ownership.addr;
                          }
                          if (currOwnershipAddr == owner) {
                              tokenIds[tokenIdsIdx++] = i;
                          }
                      }
                      return tokenIds;
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          import '../IERC721AUpgradeable.sol';
          /**
           * @dev Interface of ERC721AQueryable.
           */
          interface IERC721AQueryableUpgradeable is IERC721AUpgradeable {
              /**
               * Invalid query range (`start` >= `stop`).
               */
              error InvalidQueryRange();
              /**
               * @dev Returns the `TokenOwnership` struct at `tokenId` without reverting.
               *
               * If the `tokenId` is out of bounds:
               *
               * - `addr = address(0)`
               * - `startTimestamp = 0`
               * - `burned = false`
               * - `extraData = 0`
               *
               * If the `tokenId` is burned:
               *
               * - `addr = <Address of owner before token was burned>`
               * - `startTimestamp = <Timestamp when token was burned>`
               * - `burned = true`
               * - `extraData = <Extra data when token was burned>`
               *
               * Otherwise:
               *
               * - `addr = <Address of owner>`
               * - `startTimestamp = <Timestamp of start of ownership>`
               * - `burned = false`
               * - `extraData = <Extra data at start of ownership>`
               */
              function explicitOwnershipOf(uint256 tokenId) external view returns (TokenOwnership memory);
              /**
               * @dev Returns an array of `TokenOwnership` structs at `tokenIds` in order.
               * See {ERC721AQueryable-explicitOwnershipOf}
               */
              function explicitOwnershipsOf(uint256[] memory tokenIds) external view returns (TokenOwnership[] memory);
              /**
               * @dev Returns an array of token IDs owned by `owner`,
               * in the range [`start`, `stop`)
               * (i.e. `start <= tokenId < stop`).
               *
               * This function allows for tokens to be queried if the collection
               * grows too big for a single call of {ERC721AQueryable-tokensOfOwner}.
               *
               * Requirements:
               *
               * - `start < stop`
               */
              function tokensOfOwnerIn(
                  address owner,
                  uint256 start,
                  uint256 stop
              ) external view returns (uint256[] memory);
              /**
               * @dev Returns an array of token IDs owned by `owner`.
               *
               * This function scans the ownership mapping and is O(`totalSupply`) in complexity.
               * It is meant to be called off-chain.
               *
               * See {ERC721AQueryable-tokensOfOwnerIn} for splitting the scan into
               * multiple smaller scans if the collection is large enough to cause
               * an out-of-gas error (10K collections should be fine).
               */
              function tokensOfOwner(address owner) external view returns (uint256[] memory);
          }
          // SPDX-License-Identifier: MIT
          // ERC721A Contracts v4.2.3
          // Creator: Chiru Labs
          pragma solidity ^0.8.4;
          /**
           * @dev Interface of ERC721A.
           */
          interface IERC721AUpgradeable {
              /**
               * The caller must own the token or be an approved operator.
               */
              error ApprovalCallerNotOwnerNorApproved();
              /**
               * The token does not exist.
               */
              error ApprovalQueryForNonexistentToken();
              /**
               * Cannot query the balance for the zero address.
               */
              error BalanceQueryForZeroAddress();
              /**
               * Cannot mint to the zero address.
               */
              error MintToZeroAddress();
              /**
               * The quantity of tokens minted must be more than zero.
               */
              error MintZeroQuantity();
              /**
               * The token does not exist.
               */
              error OwnerQueryForNonexistentToken();
              /**
               * The caller must own the token or be an approved operator.
               */
              error TransferCallerNotOwnerNorApproved();
              /**
               * The token must be owned by `from`.
               */
              error TransferFromIncorrectOwner();
              /**
               * Cannot safely transfer to a contract that does not implement the
               * ERC721Receiver interface.
               */
              error TransferToNonERC721ReceiverImplementer();
              /**
               * Cannot transfer to the zero address.
               */
              error TransferToZeroAddress();
              /**
               * The token does not exist.
               */
              error URIQueryForNonexistentToken();
              /**
               * The `quantity` minted with ERC2309 exceeds the safety limit.
               */
              error MintERC2309QuantityExceedsLimit();
              /**
               * The `extraData` cannot be set on an unintialized ownership slot.
               */
              error OwnershipNotInitializedForExtraData();
              // =============================================================
              //                            STRUCTS
              // =============================================================
              struct TokenOwnership {
                  // The address of the owner.
                  address addr;
                  // Stores the start time of ownership with minimal overhead for tokenomics.
                  uint64 startTimestamp;
                  // Whether the token has been burned.
                  bool burned;
                  // Arbitrary data similar to `startTimestamp` that can be set via {_extraData}.
                  uint24 extraData;
              }
              // =============================================================
              //                         TOKEN COUNTERS
              // =============================================================
              /**
               * @dev Returns the total number of tokens in existence.
               * Burned tokens will reduce the count.
               * To get the total number of tokens minted, please see {_totalMinted}.
               */
              function totalSupply() external view returns (uint256);
              // =============================================================
              //                            IERC165
              // =============================================================
              /**
               * @dev Returns true if this contract implements the interface defined by
               * `interfaceId`. See the corresponding
               * [EIP section](https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified)
               * to learn more about how these ids are created.
               *
               * This function call must use less than 30000 gas.
               */
              function supportsInterface(bytes4 interfaceId) external view returns (bool);
              // =============================================================
              //                            IERC721
              // =============================================================
              /**
               * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
               */
              event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);
              /**
               * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
               */
              event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);
              /**
               * @dev Emitted when `owner` enables or disables
               * (`approved`) `operator` to manage all of its assets.
               */
              event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
              /**
               * @dev Returns the number of tokens in `owner`'s account.
               */
              function balanceOf(address owner) external view returns (uint256 balance);
              /**
               * @dev Returns the owner of the `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function ownerOf(uint256 tokenId) external view returns (address owner);
              /**
               * @dev Safely transfers `tokenId` token from `from` to `to`,
               * checking first that contract recipients are aware of the ERC721 protocol
               * to prevent tokens from being forever locked.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must exist and be owned by `from`.
               * - If the caller is not `from`, it must be have been allowed to move
               * this token by either {approve} or {setApprovalForAll}.
               * - If `to` refers to a smart contract, it must implement
               * {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
               *
               * Emits a {Transfer} event.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId,
                  bytes calldata data
              ) external payable;
              /**
               * @dev Equivalent to `safeTransferFrom(from, to, tokenId, '')`.
               */
              function safeTransferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) external payable;
              /**
               * @dev Transfers `tokenId` from `from` to `to`.
               *
               * WARNING: Usage of this method is discouraged, use {safeTransferFrom}
               * whenever possible.
               *
               * Requirements:
               *
               * - `from` cannot be the zero address.
               * - `to` cannot be the zero address.
               * - `tokenId` token must be owned by `from`.
               * - If the caller is not `from`, it must be approved to move this token
               * by either {approve} or {setApprovalForAll}.
               *
               * Emits a {Transfer} event.
               */
              function transferFrom(
                  address from,
                  address to,
                  uint256 tokenId
              ) external payable;
              /**
               * @dev Gives permission to `to` to transfer `tokenId` token to another account.
               * The approval is cleared when the token is transferred.
               *
               * Only a single account can be approved at a time, so approving the
               * zero address clears previous approvals.
               *
               * Requirements:
               *
               * - The caller must own the token or be an approved operator.
               * - `tokenId` must exist.
               *
               * Emits an {Approval} event.
               */
              function approve(address to, uint256 tokenId) external payable;
              /**
               * @dev Approve or remove `operator` as an operator for the caller.
               * Operators can call {transferFrom} or {safeTransferFrom}
               * for any token owned by the caller.
               *
               * Requirements:
               *
               * - The `operator` cannot be the caller.
               *
               * Emits an {ApprovalForAll} event.
               */
              function setApprovalForAll(address operator, bool _approved) external;
              /**
               * @dev Returns the account approved for `tokenId` token.
               *
               * Requirements:
               *
               * - `tokenId` must exist.
               */
              function getApproved(uint256 tokenId) external view returns (address operator);
              /**
               * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
               *
               * See {setApprovalForAll}.
               */
              function isApprovedForAll(address owner, address operator) external view returns (bool);
              // =============================================================
              //                        IERC721Metadata
              // =============================================================
              /**
               * @dev Returns the token collection name.
               */
              function name() external view returns (string memory);
              /**
               * @dev Returns the token collection symbol.
               */
              function symbol() external view returns (string memory);
              /**
               * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
               */
              function tokenURI(uint256 tokenId) external view returns (string memory);
              // =============================================================
              //                           IERC2309
              // =============================================================
              /**
               * @dev Emitted when tokens in `fromTokenId` to `toTokenId`
               * (inclusive) is transferred from `from` to `to`, as defined in the
               * [ERC2309](https://eips.ethereum.org/EIPS/eip-2309) standard.
               *
               * See {_mintERC2309} for more details.
               */
              event ConsecutiveTransfer(uint256 indexed fromTokenId, uint256 toTokenId, address indexed from, address indexed to);
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Gas optimized ECDSA wrapper.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/ECDSA.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/ECDSA.sol)
          /// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/ECDSA.sol)
          library ECDSA {
              function recover(bytes32 hash, bytes calldata signature) internal view returns (address result) {
                  assembly {
                      if eq(signature.length, 65) {
                          // Copy the free memory pointer so that we can restore it later.
                          let m := mload(0x40)
                          // Directly copy `r` and `s` from the calldata.
                          calldatacopy(0x40, signature.offset, 0x40)
                          // If `s` in lower half order, such that the signature is not malleable.
                          // prettier-ignore
                          if iszero(gt(mload(0x60), 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0)) {
                              mstore(0x00, hash)
                              // Compute `v` and store it in the scratch space.
                              mstore(0x20, byte(0, calldataload(add(signature.offset, 0x40))))
                              pop(
                                  staticcall(
                                      gas(), // Amount of gas left for the transaction.
                                      0x01, // Address of `ecrecover`.
                                      0x00, // Start of input.
                                      0x80, // Size of input.
                                      0x40, // Start of output.
                                      0x20 // Size of output.
                                  )
                              )
                              // Restore the zero slot.
                              mstore(0x60, 0)
                              // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                              result := mload(sub(0x60, returndatasize()))
                          }
                          // Restore the free memory pointer.
                          mstore(0x40, m)
                      }
                  }
              }
              function recover(
                  bytes32 hash,
                  bytes32 r,
                  bytes32 vs
              ) internal view returns (address result) {
                  assembly {
                      // Copy the free memory pointer so that we can restore it later.
                      let m := mload(0x40)
                      // prettier-ignore
                      let s := and(vs, 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff)
                      // If `s` in lower half order, such that the signature is not malleable.
                      // prettier-ignore
                      if iszero(gt(s, 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0)) {
                          mstore(0x00, hash)
                          mstore(0x20, add(shr(255, vs), 27))
                          mstore(0x40, r)
                          mstore(0x60, s)
                          pop(
                              staticcall(
                                  gas(), // Amount of gas left for the transaction.
                                  0x01, // Address of `ecrecover`.
                                  0x00, // Start of input.
                                  0x80, // Size of input.
                                  0x40, // Start of output.
                                  0x20 // Size of output.
                              )
                          )
                          // Restore the zero slot.
                          mstore(0x60, 0)
                          // `returndatasize()` will be `0x20` upon success, and `0x00` otherwise.
                          result := mload(sub(0x60, returndatasize()))
                      }
                      // Restore the free memory pointer.
                      mstore(0x40, m)
                  }
              }
              function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 result) {
                  assembly {
                      // Store into scratch space for keccak256.
                      mstore(0x20, hash)
                      mstore(0x00, "\\x00\\x00\\x00\\x00\\x19Ethereum Signed Message:\
          32")
                      // 0x40 - 0x04 = 0x3c
                      result := keccak256(0x04, 0x3c)
                  }
              }
              function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32 result) {
                  assembly {
                      // We need at most 128 bytes for Ethereum signed message header.
                      // The max length of the ASCII reprenstation of a uint256 is 78 bytes.
                      // The length of "\\x19Ethereum Signed Message:\
          " is 26 bytes (i.e. 0x1a).
                      // The next multiple of 32 above 78 + 26 is 128 (i.e. 0x80).
                      // Instead of allocating, we temporarily copy the 128 bytes before the
                      // start of `s` data to some variables.
                      let m3 := mload(sub(s, 0x60))
                      let m2 := mload(sub(s, 0x40))
                      let m1 := mload(sub(s, 0x20))
                      // The length of `s` is in bytes.
                      let sLength := mload(s)
                      let ptr := add(s, 0x20)
                      // `end` marks the end of the memory which we will compute the keccak256 of.
                      let end := add(ptr, sLength)
                      // Convert the length of the bytes to ASCII decimal representation
                      // and store it into the memory.
                      // prettier-ignore
                      for { let temp := sLength } 1 {} {
                          ptr := sub(ptr, 1)
                          mstore8(ptr, add(48, mod(temp, 10)))
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      // Copy the header over to the memory.
                      mstore(sub(ptr, 0x20), "\\x00\\x00\\x00\\x00\\x00\\x00\\x19Ethereum Signed Message:\
          ")
                      // Compute the keccak256 of the memory.
                      result := keccak256(sub(ptr, 0x1a), sub(end, sub(ptr, 0x1a)))
                      // Restore the previous memory.
                      mstore(s, sLength)
                      mstore(sub(s, 0x20), m1)
                      mstore(sub(s, 0x40), m2)
                      mstore(sub(s, 0x60), m3)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Library for converting numbers into strings and other string operations.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibString.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibString.sol)
          library LibString {
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                        CUSTOM ERRORS                       */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              error HexLengthInsufficient();
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                     DECIMAL OPERATIONS                     */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function toString(uint256 value) internal pure returns (string memory str) {
                  assembly {
                      // The maximum value of a uint256 contains 78 digits (1 byte per digit), but
                      // we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
                      // We will need 1 word for the trailing zeros padding, 1 word for the length,
                      // and 3 words for a maximum of 78 digits. Total: 5 * 0x20 = 0xa0.
                      let m := add(mload(0x40), 0xa0)
                      // Update the free memory pointer to allocate.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end of the memory to calculate the length later.
                      let end := str
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 1)
                          // Write the character to the pointer.
                          // The ASCII index of the '0' character is 48.
                          mstore8(str, add(48, mod(temp, 10)))
                          // Keep dividing `temp` until zero.
                          temp := div(temp, 10)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      let length := sub(end, str)
                      // Move the pointer 32 bytes leftwards to make room for the length.
                      str := sub(str, 0x20)
                      // Store the length.
                      mstore(str, length)
                  }
              }
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                   HEXADECIMAL OPERATIONS                   */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function toHexString(uint256 value, uint256 length) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the trailing zeros padding, `length * 2` bytes
                      // for the digits, 0x02 bytes for the prefix, and 0x20 bytes for the length.
                      // We add 0x20 to the total and round down to a multiple of 0x20.
                      // (0x20 + 0x20 + 0x02 + 0x20) = 0x62.
                      let m := add(start, and(add(shl(1, length), 0x62), not(0x1f)))
                      // Allocate the memory.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end to calculate the length later.
                      let end := str
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      let temp := value
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for {} 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          length := sub(length, 1)
                          // prettier-ignore
                          if iszero(length) { break }
                      }
                      if temp {
                          // Store the function selector of `HexLengthInsufficient()`.
                          mstore(0x00, 0x2194895a)
                          // Revert with (offset, size).
                          revert(0x1c, 0x04)
                      }
                      // Compute the string's length.
                      let strLength := add(sub(end, str), 2)
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 0x20)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, strLength)
                  }
              }
              function toHexString(uint256 value) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
                      // 0x02 bytes for the prefix, and 0x40 bytes for the digits.
                      // The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x40) is 0xa0.
                      let m := add(start, 0xa0)
                      // Allocate the memory.
                      mstore(0x40, m)
                      // Assign the `str` to the end.
                      str := sub(m, 0x20)
                      // Zeroize the slot after the string.
                      mstore(str, 0)
                      // Cache the end to calculate the length later.
                      let end := str
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          // prettier-ignore
                          if iszero(temp) { break }
                      }
                      // Compute the string's length.
                      let strLength := add(sub(end, str), 2)
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 0x20)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, strLength)
                  }
              }
              function toHexString(address value) internal pure returns (string memory str) {
                  assembly {
                      let start := mload(0x40)
                      // We need 0x20 bytes for the length, 0x02 bytes for the prefix,
                      // and 0x28 bytes for the digits.
                      // The next multiple of 0x20 above (0x20 + 0x02 + 0x28) is 0x60.
                      str := add(start, 0x60)
                      // Allocate the memory.
                      mstore(0x40, str)
                      // Store "0123456789abcdef" in scratch space.
                      mstore(0x0f, 0x30313233343536373839616263646566)
                      let length := 20
                      // We write the string from rightmost digit to leftmost digit.
                      // The following is essentially a do-while loop that also handles the zero case.
                      // prettier-ignore
                      for { let temp := value } 1 {} {
                          str := sub(str, 2)
                          mstore8(add(str, 1), mload(and(temp, 15)))
                          mstore8(str, mload(and(shr(4, temp), 15)))
                          temp := shr(8, temp)
                          length := sub(length, 1)
                          // prettier-ignore
                          if iszero(length) { break }
                      }
                      // Move the pointer and write the "0x" prefix.
                      str := sub(str, 32)
                      mstore(str, 0x3078)
                      // Move the pointer and write the length.
                      str := sub(str, 2)
                      mstore(str, 42)
                  }
              }
              /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
              /*                   OTHER STRING OPERATIONS                  */
              /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
              function replace(
                  string memory subject,
                  string memory search,
                  string memory replacement
              ) internal pure returns (string memory result) {
                  assembly {
                      let subjectLength := mload(subject)
                      let searchLength := mload(search)
                      let replacementLength := mload(replacement)
                      subject := add(subject, 0x20)
                      search := add(search, 0x20)
                      replacement := add(replacement, 0x20)
                      result := add(mload(0x40), 0x20)
                      let subjectEnd := add(subject, subjectLength)
                      if iszero(gt(searchLength, subjectLength)) {
                          let subjectSearchEnd := add(sub(subjectEnd, searchLength), 1)
                          let h := 0
                          if iszero(lt(searchLength, 32)) {
                              h := keccak256(search, searchLength)
                          }
                          let m := shl(3, sub(32, and(searchLength, 31)))
                          let s := mload(search)
                          // prettier-ignore
                          for {} 1 {} {
                              let t := mload(subject)
                              // Whether the first `searchLength % 32` bytes of 
                              // `subject` and `search` matches.
                              if iszero(shr(m, xor(t, s))) {
                                  if h {
                                      if iszero(eq(keccak256(subject, searchLength), h)) {
                                          mstore(result, t)
                                          result := add(result, 1)
                                          subject := add(subject, 1)
                                          // prettier-ignore
                                          if iszero(lt(subject, subjectSearchEnd)) { break }
                                          continue
                                      }
                                  }
                                  // Copy the `replacement` one word at a time.
                                  // prettier-ignore
                                  for { let o := 0 } 1 {} {
                                      mstore(add(result, o), mload(add(replacement, o)))
                                      o := add(o, 0x20)
                                      // prettier-ignore
                                      if iszero(lt(o, replacementLength)) { break }
                                  }
                                  result := add(result, replacementLength)
                                  subject := add(subject, searchLength)    
                                  if iszero(searchLength) {
                                      mstore(result, t)
                                      result := add(result, 1)
                                      subject := add(subject, 1)
                                  }
                                  // prettier-ignore
                                  if iszero(lt(subject, subjectSearchEnd)) { break }
                                  continue
                              }
                              mstore(result, t)
                              result := add(result, 1)
                              subject := add(subject, 1)
                              // prettier-ignore
                              if iszero(lt(subject, subjectSearchEnd)) { break }
                          }
                      }
                      let resultRemainder := result
                      result := add(mload(0x40), 0x20)
                      let k := add(sub(resultRemainder, result), sub(subjectEnd, subject))
                      // Copy the rest of the string one word at a time.
                      // prettier-ignore
                      for {} lt(subject, subjectEnd) {} {
                          mstore(resultRemainder, mload(subject))
                          resultRemainder := add(resultRemainder, 0x20)
                          subject := add(subject, 0x20)
                      }
                      // Allocate memory for the length and the bytes,
                      // rounded up to a multiple of 32.
                      mstore(0x40, add(result, and(add(k, 0x40), not(0x1f))))
                      result := sub(result, 0x20)
                      mstore(result, k)
                  }
              }
          }
          // SPDX-License-Identifier: MIT
          pragma solidity ^0.8.4;
          /// @notice Gas optimized verification of proof of inclusion for a leaf in a Merkle tree.
          /// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MerkleProofLib.sol)
          /// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/MerkleProofLib.sol)
          /// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/MerkleProof.sol)
          library MerkleProofLib {
              function verify(
                  bytes32[] calldata proof,
                  bytes32 root,
                  bytes32 leaf
              ) internal pure returns (bool isValid) {
                  assembly {
                      if proof.length {
                          // Left shift by 5 is equivalent to multiplying by 0x20.
                          let end := add(proof.offset, shl(5, proof.length))
                          // Initialize `offset` to the offset of `proof` in the calldata.
                          let offset := proof.offset
                          // Iterate over proof elements to compute root hash.
                          // prettier-ignore
                          for {} 1 {} {
                              // Slot of `leaf` in scratch space.
                              // If the condition is true: 0x20, otherwise: 0x00.
                              let scratch := shl(5, gt(leaf, calldataload(offset)))
                              // Store elements to hash contiguously in scratch space.
                              // Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
                              mstore(scratch, leaf)
                              mstore(xor(scratch, 0x20), calldataload(offset))
                              // Reuse `leaf` to store the hash to reduce stack operations.
                              leaf := keccak256(0x00, 0x40)
                              offset := add(offset, 0x20)
                              // prettier-ignore
                              if iszero(lt(offset, end)) { break }
                          }
                      }
                      isValid := eq(leaf, root)
                  }
              }
              function verifyMultiProof(
                  bytes32[] calldata proof,
                  bytes32 root,
                  bytes32[] calldata leafs,
                  bool[] calldata flags
              ) internal pure returns (bool isValid) {
                  // Rebuilds the root by consuming and producing values on a queue.
                  // The queue starts with the `leafs` array, and goes into a `hashes` array.
                  // After the process, the last element on the queue is verified
                  // to be equal to the `root`.
                  //
                  // The `flags` array denotes whether the sibling
                  // should be popped from the queue (`flag == true`), or
                  // should be popped from the `proof` (`flag == false`).
                  assembly {
                      // If the number of flags is correct.
                      // prettier-ignore
                      for {} eq(add(leafs.length, proof.length), add(flags.length, 1)) {} {
                          // Left shift by 5 is equivalent to multiplying by 0x20.
                          // Compute the end calldata offset of `leafs`.
                          let leafsEnd := add(leafs.offset, shl(5, leafs.length))
                          // These are the calldata offsets.
                          let leafsOffset := leafs.offset
                          let flagsOffset := flags.offset
                          let proofOffset := proof.offset
                          // We can use the free memory space for the queue.
                          // We don't need to allocate, since the queue is temporary.
                          let hashesFront := mload(0x40)
                          let hashesBack := hashesFront
                          // This is the end of the memory for the queue.
                          let end := add(hashesBack, shl(5, flags.length))
                          // For the case where `proof.length + leafs.length == 1`.
                          if iszero(flags.length) {
                              // If `proof.length` is zero, `leafs.length` is 1.
                              if iszero(proof.length) {
                                  isValid := eq(calldataload(leafsOffset), root)
                                  break
                              }
                              // If `leafs.length` is zero, `proof.length` is 1.
                              if iszero(leafs.length) {
                                  isValid := eq(calldataload(proofOffset), root)
                                  break
                              }
                          }
                          // prettier-ignore
                          for {} 1 {} {
                              let a := 0
                              // Pops a value from the queue into `a`.
                              switch lt(leafsOffset, leafsEnd)
                              case 0 {
                                  // Pop from `hashes` if there are no more leafs.
                                  a := mload(hashesFront)
                                  hashesFront := add(hashesFront, 0x20)
                              }
                              default {
                                  // Otherwise, pop from `leafs`.
                                  a := calldataload(leafsOffset)
                                  leafsOffset := add(leafsOffset, 0x20)
                              }
                              let b := 0
                              // If the flag is false, load the next proof,
                              // else, pops from the queue.
                              switch calldataload(flagsOffset)
                              case 0 {
                                  // Loads the next proof.
                                  b := calldataload(proofOffset)
                                  proofOffset := add(proofOffset, 0x20)
                              }
                              default {
                                  // Pops a value from the queue into `a`.
                                  switch lt(leafsOffset, leafsEnd)
                                  case 0 {
                                      // Pop from `hashes` if there are no more leafs.
                                      b := mload(hashesFront)
                                      hashesFront := add(hashesFront, 0x20)
                                  }
                                  default {
                                      // Otherwise, pop from `leafs`.
                                      b := calldataload(leafsOffset)
                                      leafsOffset := add(leafsOffset, 0x20)
                                  }
                              }
                              // Advance to the next flag offset.
                              flagsOffset := add(flagsOffset, 0x20)
                              // Slot of `a` in scratch space.
                              // If the condition is true: 0x20, otherwise: 0x00.
                              let scratch := shl(5, gt(a, b))
                              // Hash the scratch space and push the result onto the queue.
                              mstore(scratch, a)
                              mstore(xor(scratch, 0x20), b)
                              mstore(hashesBack, keccak256(0x00, 0x40))
                              hashesBack := add(hashesBack, 0x20)
                              // prettier-ignore
                              if iszero(lt(hashesBack, end)) { break }
                          }
                          // Checks if the last value in the queue is same as the root.
                          isValid := eq(mload(sub(hashesBack, 0x20)), root)
                          break
                      }
                  }
              }
          }