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// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {IERC721} from "openzeppelin-contracts/token/ERC721/ERC721.sol";
import {ProofTest} from "proof/constants/Testing.sol";
import {IDelegationRegistry} from "delegation-registry/DelegationRegistry.sol";

import {ISellable, CallbackerWithAccessControl} from "./CallbackerWithAccessControl.sol";
import {ExactSettableFixedPrice} from "./ExactSettableFixedPrice.sol";
import {InternallyPriced, ExactInternallyPriced} from "../base/InternallyPriced.sol";

import {NestingLevelLib} from "../mechanics/NestingLevelLib.sol";
import {MoonbirdNestingLevelGated} from "../../src/mechanics/MoonbirdNestingLevelGated.sol";
import {DelegatedTokenApprovalChecker} from "../base/TokenApprovalChecker.sol";

/**
 * @notice Public seller with a fixed price.
 */
contract DelegatedMoonbirdNestingLevelGatedSettablePrice is
    MoonbirdNestingLevelGated,
    DelegatedTokenApprovalChecker,
    ExactSettableFixedPrice
{
    constructor(
        address admin,
        address steerer,
        ISellable sellable_,
        uint256 price,
        IERC721 gatingToken,
        NestingLevelLib.NestingLevel requiredLevel,
        IDelegationRegistry registry
    )
        CallbackerWithAccessControl(admin, steerer, sellable_)
        MoonbirdNestingLevelGated(gatingToken, requiredLevel)
        DelegatedTokenApprovalChecker(registry)
        ExactSettableFixedPrice(price)
    {}

    function _checkAndModifyPurchase(address to, uint64 num, uint256 cost_, bytes memory data)
        internal
        view
        virtual
        override(InternallyPriced, ExactInternallyPriced)
        returns (address, uint64, uint256)
    {
        return ExactInternallyPriced._checkAndModifyPurchase(to, num, cost_, data);
    }

    /**
     * @notice Changes set of signers authorised to sign allowances.
     */
    function changeAllowlistSigners(address[] calldata rm, address[] calldata add)
        public
        onlyRole(DEFAULT_STEERING_ROLE)
    {
        _changeAllowlistSigners(rm, add);
    }
}

// SPDX-License-Identifier: CC0-1.0
pragma solidity ^0.8.17;

import {IDelegationRegistry} from "./IDelegationRegistry.sol";
import {EnumerableSet} from "openzeppelin-contracts/contracts/utils/structs/EnumerableSet.sol";
import {ERC165} from "openzeppelin-contracts/contracts/utils/introspection/ERC165.sol";

/**
 * @title DelegationRegistry
 * @custom:version 1.0
 * @notice An immutable registry contract to be deployed as a standalone primitive.
 * @dev See EIP-5639, new project launches can read previous cold wallet -> hot wallet delegations
 * from here and integrate those permissions into their flow.
 * @custom:coauthor foobar (0xfoobar)
 * @custom:coauthor wwchung (manifoldxyz)
 * @custom:coauthor purplehat (artblocks)
 * @custom:coauthor ryley-o (artblocks)
 * @custom:coauthor andy8052 (tessera)
 * @custom:coauthor punk6529 (open metaverse)
 * @custom:coauthor loopify (loopiverse)
 * @custom:coauthor emiliano (nftrentals)
 * @custom:coauthor arran (proof)
 * @custom:coauthor james (collabland)
 * @custom:coauthor john (gnosis safe)
 * @custom:coauthor 0xrusowsky
 */
contract DelegationRegistry is IDelegationRegistry, ERC165 {
    using EnumerableSet for EnumerableSet.AddressSet;
    using EnumerableSet for EnumerableSet.Bytes32Set;

    /// @notice The global mapping and single source of truth for delegations
    /// @dev vault -> vaultVersion -> delegationHash
    mapping(address => mapping(uint256 => EnumerableSet.Bytes32Set)) internal delegations;

    /// @notice A mapping of wallets to versions (for cheap revocation)
    mapping(address => uint256) internal vaultVersion;

    /// @notice A mapping of wallets to delegates to versions (for cheap revocation)
    mapping(address => mapping(address => uint256)) internal delegateVersion;

    /// @notice A secondary mapping to return onchain enumerability of delegations that a given address can perform
    /// @dev delegate -> delegationHashes
    mapping(address => EnumerableSet.Bytes32Set) internal delegationHashes;

    /// @notice A secondary mapping used to return delegation information about a delegation
    /// @dev delegationHash -> DelegateInfo
    mapping(bytes32 => IDelegationRegistry.DelegationInfo) internal delegationInfo;

    /**
     * @inheritdoc ERC165
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override (ERC165) returns (bool) {
        return interfaceId == type(IDelegationRegistry).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * -----------  WRITE -----------
     */

    /**
     * @inheritdoc IDelegationRegistry
     */
    function delegateForAll(address delegate, bool value) external override {
        bytes32 delegationHash = _computeAllDelegationHash(msg.sender, delegate);
        _setDelegationValues(
            delegate, delegationHash, value, IDelegationRegistry.DelegationType.ALL, msg.sender, address(0), 0
        );
        emit IDelegationRegistry.DelegateForAll(msg.sender, delegate, value);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function delegateForContract(address delegate, address contract_, bool value) external override {
        bytes32 delegationHash = _computeContractDelegationHash(msg.sender, delegate, contract_);
        _setDelegationValues(
            delegate, delegationHash, value, IDelegationRegistry.DelegationType.CONTRACT, msg.sender, contract_, 0
        );
        emit IDelegationRegistry.DelegateForContract(msg.sender, delegate, contract_, value);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function delegateForToken(address delegate, address contract_, uint256 tokenId, bool value) external override {
        bytes32 delegationHash = _computeTokenDelegationHash(msg.sender, delegate, contract_, tokenId);
        _setDelegationValues(
            delegate, delegationHash, value, IDelegationRegistry.DelegationType.TOKEN, msg.sender, contract_, tokenId
        );
        emit IDelegationRegistry.DelegateForToken(msg.sender, delegate, contract_, tokenId, value);
    }

    /**
     * @dev Helper function to set all delegation values and enumeration sets
     */
    function _setDelegationValues(
        address delegate,
        bytes32 delegateHash,
        bool value,
        IDelegationRegistry.DelegationType type_,
        address vault,
        address contract_,
        uint256 tokenId
    ) internal {
        if (value) {
            delegations[vault][vaultVersion[vault]].add(delegateHash);
            delegationHashes[delegate].add(delegateHash);
            delegationInfo[delegateHash] =
                DelegationInfo({vault: vault, delegate: delegate, type_: type_, contract_: contract_, tokenId: tokenId});
        } else {
            delegations[vault][vaultVersion[vault]].remove(delegateHash);
            delegationHashes[delegate].remove(delegateHash);
            delete delegationInfo[delegateHash];
        }
    }

    /**
     * @dev Helper function to compute delegation hash for wallet delegation
     */
    function _computeAllDelegationHash(address vault, address delegate) internal view returns (bytes32) {
        uint256 vaultVersion_ = vaultVersion[vault];
        uint256 delegateVersion_ = delegateVersion[vault][delegate];
        return keccak256(abi.encode(delegate, vault, vaultVersion_, delegateVersion_));
    }

    /**
     * @dev Helper function to compute delegation hash for contract delegation
     */
    function _computeContractDelegationHash(address vault, address delegate, address contract_)
        internal
        view
        returns (bytes32)
    {
        uint256 vaultVersion_ = vaultVersion[vault];
        uint256 delegateVersion_ = delegateVersion[vault][delegate];
        return keccak256(abi.encode(delegate, vault, contract_, vaultVersion_, delegateVersion_));
    }

    /**
     * @dev Helper function to compute delegation hash for token delegation
     */
    function _computeTokenDelegationHash(address vault, address delegate, address contract_, uint256 tokenId)
        internal
        view
        returns (bytes32)
    {
        uint256 vaultVersion_ = vaultVersion[vault];
        uint256 delegateVersion_ = delegateVersion[vault][delegate];
        return keccak256(abi.encode(delegate, vault, contract_, tokenId, vaultVersion_, delegateVersion_));
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function revokeAllDelegates() external override {
        ++vaultVersion[msg.sender];
        emit IDelegationRegistry.RevokeAllDelegates(msg.sender);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function revokeDelegate(address delegate) external override {
        _revokeDelegate(delegate, msg.sender);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function revokeSelf(address vault) external override {
        _revokeDelegate(msg.sender, vault);
    }

    /**
     * @dev Revoke the `delegate` hotwallet from the `vault` coldwallet.
     */
    function _revokeDelegate(address delegate, address vault) internal {
        ++delegateVersion[vault][delegate];
        // For enumerations, filter in the view functions
        emit IDelegationRegistry.RevokeDelegate(vault, msg.sender);
    }

    /**
     * -----------  READ -----------
     */

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getDelegationsByDelegate(address delegate)
        external
        view
        returns (IDelegationRegistry.DelegationInfo[] memory info)
    {
        EnumerableSet.Bytes32Set storage potentialDelegationHashes = delegationHashes[delegate];
        uint256 potentialDelegationHashesLength = potentialDelegationHashes.length();
        uint256 delegationCount = 0;
        info = new IDelegationRegistry.DelegationInfo[](potentialDelegationHashesLength);
        for (uint256 i = 0; i < potentialDelegationHashesLength;) {
            bytes32 delegateHash = potentialDelegationHashes.at(i);
            IDelegationRegistry.DelegationInfo memory delegationInfo_ = delegationInfo[delegateHash];
            address vault = delegationInfo_.vault;
            IDelegationRegistry.DelegationType type_ = delegationInfo_.type_;
            bool valid = false;
            if (type_ == IDelegationRegistry.DelegationType.ALL) {
                if (delegateHash == _computeAllDelegationHash(vault, delegate)) {
                    valid = true;
                }
            } else if (type_ == IDelegationRegistry.DelegationType.CONTRACT) {
                if (delegateHash == _computeContractDelegationHash(vault, delegate, delegationInfo_.contract_)) {
                    valid = true;
                }
            } else if (type_ == IDelegationRegistry.DelegationType.TOKEN) {
                if (
                    delegateHash
                        == _computeTokenDelegationHash(vault, delegate, delegationInfo_.contract_, delegationInfo_.tokenId)
                ) {
                    valid = true;
                }
            }
            if (valid) {
                info[delegationCount++] = delegationInfo_;
            }
            unchecked {
                ++i;
            }
        }
        if (potentialDelegationHashesLength > delegationCount) {
            assembly {
                let decrease := sub(potentialDelegationHashesLength, delegationCount)
                mstore(info, sub(mload(info), decrease))
            }
        }
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getDelegatesForAll(address vault) external view returns (address[] memory delegates) {
        return _getDelegatesForLevel(vault, IDelegationRegistry.DelegationType.ALL, address(0), 0);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getDelegatesForContract(address vault, address contract_)
        external
        view
        override
        returns (address[] memory delegates)
    {
        return _getDelegatesForLevel(vault, IDelegationRegistry.DelegationType.CONTRACT, contract_, 0);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getDelegatesForToken(address vault, address contract_, uint256 tokenId)
        external
        view
        override
        returns (address[] memory delegates)
    {
        return _getDelegatesForLevel(vault, IDelegationRegistry.DelegationType.TOKEN, contract_, tokenId);
    }

    function _getDelegatesForLevel(
        address vault,
        IDelegationRegistry.DelegationType delegationType,
        address contract_,
        uint256 tokenId
    ) internal view returns (address[] memory delegates) {
        EnumerableSet.Bytes32Set storage delegationHashes_ = delegations[vault][vaultVersion[vault]];
        uint256 potentialDelegatesLength = delegationHashes_.length();
        uint256 delegatesCount = 0;
        delegates = new address[](potentialDelegatesLength);
        for (uint256 i = 0; i < potentialDelegatesLength;) {
            bytes32 delegationHash = delegationHashes_.at(i);
            DelegationInfo storage delegationInfo_ = delegationInfo[delegationHash];
            if (delegationInfo_.type_ == delegationType) {
                if (delegationType == IDelegationRegistry.DelegationType.ALL) {
                    // check delegate version by validating the hash
                    if (delegationHash == _computeAllDelegationHash(vault, delegationInfo_.delegate)) {
                        delegates[delegatesCount++] = delegationInfo_.delegate;
                    }
                } else if (delegationType == IDelegationRegistry.DelegationType.CONTRACT) {
                    if (delegationInfo_.contract_ == contract_) {
                        // check delegate version by validating the hash
                        if (
                            delegationHash == _computeContractDelegationHash(vault, delegationInfo_.delegate, contract_)
                        ) {
                            delegates[delegatesCount++] = delegationInfo_.delegate;
                        }
                    }
                } else if (delegationType == IDelegationRegistry.DelegationType.TOKEN) {
                    if (delegationInfo_.contract_ == contract_ && delegationInfo_.tokenId == tokenId) {
                        // check delegate version by validating the hash
                        if (
                            delegationHash
                                == _computeTokenDelegationHash(vault, delegationInfo_.delegate, contract_, tokenId)
                        ) {
                            delegates[delegatesCount++] = delegationInfo_.delegate;
                        }
                    }
                }
            }
            unchecked {
                ++i;
            }
        }
        if (potentialDelegatesLength > delegatesCount) {
            assembly {
                let decrease := sub(potentialDelegatesLength, delegatesCount)
                mstore(delegates, sub(mload(delegates), decrease))
            }
        }
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getContractLevelDelegations(address vault)
        external
        view
        returns (IDelegationRegistry.ContractDelegation[] memory contractDelegations)
    {
        EnumerableSet.Bytes32Set storage delegationHashes_ = delegations[vault][vaultVersion[vault]];
        uint256 potentialLength = delegationHashes_.length();
        uint256 delegationCount = 0;
        contractDelegations = new IDelegationRegistry.ContractDelegation[](potentialLength);
        for (uint256 i = 0; i < potentialLength;) {
            bytes32 delegationHash = delegationHashes_.at(i);
            DelegationInfo storage delegationInfo_ = delegationInfo[delegationHash];
            if (delegationInfo_.type_ == IDelegationRegistry.DelegationType.CONTRACT) {
                // check delegate version by validating the hash
                if (
                    delegationHash
                        == _computeContractDelegationHash(vault, delegationInfo_.delegate, delegationInfo_.contract_)
                ) {
                    contractDelegations[delegationCount++] = IDelegationRegistry.ContractDelegation({
                        contract_: delegationInfo_.contract_,
                        delegate: delegationInfo_.delegate
                    });
                }
            }
            unchecked {
                ++i;
            }
        }
        if (potentialLength > delegationCount) {
            assembly {
                let decrease := sub(potentialLength, delegationCount)
                mstore(contractDelegations, sub(mload(contractDelegations), decrease))
            }
        }
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function getTokenLevelDelegations(address vault)
        external
        view
        returns (IDelegationRegistry.TokenDelegation[] memory tokenDelegations)
    {
        EnumerableSet.Bytes32Set storage delegationHashes_ = delegations[vault][vaultVersion[vault]];
        uint256 potentialLength = delegationHashes_.length();
        uint256 delegationCount = 0;
        tokenDelegations = new IDelegationRegistry.TokenDelegation[](potentialLength);
        for (uint256 i = 0; i < potentialLength;) {
            bytes32 delegationHash = delegationHashes_.at(i);
            DelegationInfo storage delegationInfo_ = delegationInfo[delegationHash];
            if (delegationInfo_.type_ == IDelegationRegistry.DelegationType.TOKEN) {
                // check delegate version by validating the hash
                if (
                    delegationHash
                        == _computeTokenDelegationHash(
                            vault, delegationInfo_.delegate, delegationInfo_.contract_, delegationInfo_.tokenId
                        )
                ) {
                    tokenDelegations[delegationCount++] = IDelegationRegistry.TokenDelegation({
                        contract_: delegationInfo_.contract_,
                        tokenId: delegationInfo_.tokenId,
                        delegate: delegationInfo_.delegate
                    });
                }
            }
            unchecked {
                ++i;
            }
        }
        if (potentialLength > delegationCount) {
            assembly {
                let decrease := sub(potentialLength, delegationCount)
                mstore(tokenDelegations, sub(mload(tokenDelegations), decrease))
            }
        }
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function checkDelegateForAll(address delegate, address vault) public view override returns (bool) {
        bytes32 delegateHash =
            keccak256(abi.encode(delegate, vault, vaultVersion[vault], delegateVersion[vault][delegate]));
        return delegations[vault][vaultVersion[vault]].contains(delegateHash);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function checkDelegateForContract(address delegate, address vault, address contract_)
        public
        view
        override
        returns (bool)
    {
        bytes32 delegateHash =
            keccak256(abi.encode(delegate, vault, contract_, vaultVersion[vault], delegateVersion[vault][delegate]));
        return delegations[vault][vaultVersion[vault]].contains(delegateHash)
            ? true
            : checkDelegateForAll(delegate, vault);
    }

    /**
     * @inheritdoc IDelegationRegistry
     */
    function checkDelegateForToken(address delegate, address vault, address contract_, uint256 tokenId)
        public
        view
        override
        returns (bool)
    {
        bytes32 delegateHash = keccak256(
            abi.encode(delegate, vault, contract_, tokenId, vaultVersion[vault], delegateVersion[vault][delegate])
        );
        return delegations[vault][vaultVersion[vault]].contains(delegateHash)
            ? true
            : checkDelegateForContract(delegate, vault, contract_);
    }
}

// SPDX-License-Identifier: CC0-1.0
pragma solidity ^0.8.17;

/**
 * @title An immutable registry contract to be deployed as a standalone primitive
 * @dev See EIP-5639, new project launches can read previous cold wallet -> hot wallet delegations
 * from here and integrate those permissions into their flow
 */
interface IDelegationRegistry {
    /// @notice Delegation type
    enum DelegationType {
        NONE,
        ALL,
        CONTRACT,
        TOKEN
    }

    /// @notice Info about a single delegation, used for onchain enumeration
    struct DelegationInfo {
        DelegationType type_;
        address vault;
        address delegate;
        address contract_;
        uint256 tokenId;
    }

    /// @notice Info about a single contract-level delegation
    struct ContractDelegation {
        address contract_;
        address delegate;
    }

    /// @notice Info about a single token-level delegation
    struct TokenDelegation {
        address contract_;
        uint256 tokenId;
        address delegate;
    }

    /// @notice Emitted when a user delegates their entire wallet
    event DelegateForAll(address vault, address delegate, bool value);

    /// @notice Emitted when a user delegates a specific contract
    event DelegateForContract(address vault, address delegate, address contract_, bool value);

    /// @notice Emitted when a user delegates a specific token
    event DelegateForToken(address vault, address delegate, address contract_, uint256 tokenId, bool value);

    /// @notice Emitted when a user revokes all delegations
    event RevokeAllDelegates(address vault);

    /// @notice Emitted when a user revoes all delegations for a given delegate
    event RevokeDelegate(address vault, address delegate);

    /**
     * -----------  WRITE -----------
     */

    /**
     * @notice Allow the delegate to act on your behalf for all contracts
     * @param delegate The hotwallet to act on your behalf
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForAll(address delegate, bool value) external;

    /**
     * @notice Allow the delegate to act on your behalf for a specific contract
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForContract(address delegate, address contract_, bool value) external;

    /**
     * @notice Allow the delegate to act on your behalf for a specific token
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param tokenId The token id for the token you're delegating
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForToken(address delegate, address contract_, uint256 tokenId, bool value) external;

    /**
     * @notice Revoke all delegates
     */
    function revokeAllDelegates() external;

    /**
     * @notice Revoke a specific delegate for all their permissions
     * @param delegate The hotwallet to revoke
     */
    function revokeDelegate(address delegate) external;

    /**
     * @notice Remove yourself as a delegate for a specific vault
     * @param vault The vault which delegated to the msg.sender, and should be removed
     */
    function revokeSelf(address vault) external;

    /**
     * -----------  READ -----------
     */

    /**
     * @notice Returns all active delegations a given delegate is able to claim on behalf of
     * @param delegate The delegate that you would like to retrieve delegations for
     * @return info Array of DelegationInfo structs
     */
    function getDelegationsByDelegate(address delegate) external view returns (DelegationInfo[] memory);

    /**
     * @notice Returns an array of wallet-level delegates for a given vault
     * @param vault The cold wallet who issued the delegation
     * @return addresses Array of wallet-level delegates for a given vault
     */
    function getDelegatesForAll(address vault) external view returns (address[] memory);

    /**
     * @notice Returns an array of contract-level delegates for a given vault and contract
     * @param vault The cold wallet who issued the delegation
     * @param contract_ The address for the contract you're delegating
     * @return addresses Array of contract-level delegates for a given vault and contract
     */
    function getDelegatesForContract(address vault, address contract_) external view returns (address[] memory);

    /**
     * @notice Returns an array of contract-level delegates for a given vault's token
     * @param vault The cold wallet who issued the delegation
     * @param contract_ The address for the contract holding the token
     * @param tokenId The token id for the token you're delegating
     * @return addresses Array of contract-level delegates for a given vault's token
     */
    function getDelegatesForToken(address vault, address contract_, uint256 tokenId)
        external
        view
        returns (address[] memory);

    /**
     * @notice Returns all contract-level delegations for a given vault
     * @param vault The cold wallet who issued the delegations
     * @return delegations Array of ContractDelegation structs
     */
    function getContractLevelDelegations(address vault)
        external
        view
        returns (ContractDelegation[] memory delegations);

    /**
     * @notice Returns all token-level delegations for a given vault
     * @param vault The cold wallet who issued the delegations
     * @return delegations Array of TokenDelegation structs
     */
    function getTokenLevelDelegations(address vault) external view returns (TokenDelegation[] memory delegations);

    /**
     * @notice Returns true if the address is delegated to act on the entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForAll(address delegate, address vault) external view returns (bool);

    /**
     * @notice Returns true if the address is delegated to act on your behalf for a token contract or an entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForContract(address delegate, address vault, address contract_)
        external
        view
        returns (bool);

    /**
     * @notice Returns true if the address is delegated to act on your behalf for a specific token, the token's contract or an entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param tokenId The token id for the token you're delegating
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForToken(address delegate, address vault, address contract_, uint256 tokenId)
        external
        view
        returns (bool);
}

// SPDX-License-Identifier: GPL-3.0-or-later

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity >=0.5.0;

contract DSTest {
    event log                    (string);
    event logs                   (bytes);

    event log_address            (address);
    event log_bytes32            (bytes32);
    event log_int                (int);
    event log_uint               (uint);
    event log_bytes              (bytes);
    event log_string             (string);

    event log_named_address      (string key, address val);
    event log_named_bytes32      (string key, bytes32 val);
    event log_named_decimal_int  (string key, int val, uint decimals);
    event log_named_decimal_uint (string key, uint val, uint decimals);
    event log_named_int          (string key, int val);
    event log_named_uint         (string key, uint val);
    event log_named_bytes        (string key, bytes val);
    event log_named_string       (string key, string val);

    bool public IS_TEST = true;
    bool private _failed;

    address constant HEVM_ADDRESS =
        address(bytes20(uint160(uint256(keccak256('hevm cheat code')))));

    modifier mayRevert() { _; }
    modifier testopts(string memory) { _; }

    function failed() public returns (bool) {
        if (_failed) {
            return _failed;
        } else {
            bool globalFailed = false;
            if (hasHEVMContext()) {
                (, bytes memory retdata) = HEVM_ADDRESS.call(
                    abi.encodePacked(
                        bytes4(keccak256("load(address,bytes32)")),
                        abi.encode(HEVM_ADDRESS, bytes32("failed"))
                    )
                );
                globalFailed = abi.decode(retdata, (bool));
            }
            return globalFailed;
        }
    } 

    function fail() internal {
        if (hasHEVMContext()) {
            (bool status, ) = HEVM_ADDRESS.call(
                abi.encodePacked(
                    bytes4(keccak256("store(address,bytes32,bytes32)")),
                    abi.encode(HEVM_ADDRESS, bytes32("failed"), bytes32(uint256(0x01)))
                )
            );
            status; // Silence compiler warnings
        }
        _failed = true;
    }

    function hasHEVMContext() internal view returns (bool) {
        uint256 hevmCodeSize = 0;
        assembly {
            hevmCodeSize := extcodesize(0x7109709ECfa91a80626fF3989D68f67F5b1DD12D)
        }
        return hevmCodeSize > 0;
    }

    modifier logs_gas() {
        uint startGas = gasleft();
        _;
        uint endGas = gasleft();
        emit log_named_uint("gas", startGas - endGas);
    }

    function assertTrue(bool condition) internal {
        if (!condition) {
            emit log("Error: Assertion Failed");
            fail();
        }
    }

    function assertTrue(bool condition, string memory err) internal {
        if (!condition) {
            emit log_named_string("Error", err);
            assertTrue(condition);
        }
    }

    function assertEq(address a, address b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [address]");
            emit log_named_address("      Left", a);
            emit log_named_address("     Right", b);
            fail();
        }
    }
    function assertEq(address a, address b, string memory err) internal {
        if (a != b) {
            emit log_named_string ("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(bytes32 a, bytes32 b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [bytes32]");
            emit log_named_bytes32("      Left", a);
            emit log_named_bytes32("     Right", b);
            fail();
        }
    }
    function assertEq(bytes32 a, bytes32 b, string memory err) internal {
        if (a != b) {
            emit log_named_string ("Error", err);
            assertEq(a, b);
        }
    }
    function assertEq32(bytes32 a, bytes32 b) internal {
        assertEq(a, b);
    }
    function assertEq32(bytes32 a, bytes32 b, string memory err) internal {
        assertEq(a, b, err);
    }

    function assertEq(int a, int b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [int]");
            emit log_named_int("      Left", a);
            emit log_named_int("     Right", b);
            fail();
        }
    }
    function assertEq(int a, int b, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }
    function assertEq(uint a, uint b) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [uint]");
            emit log_named_uint("      Left", a);
            emit log_named_uint("     Right", b);
            fail();
        }
    }
    function assertEq(uint a, uint b, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }
    function assertEqDecimal(int a, int b, uint decimals) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [decimal int]");
            emit log_named_decimal_int("      Left", a, decimals);
            emit log_named_decimal_int("     Right", b, decimals);
            fail();
        }
    }
    function assertEqDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEqDecimal(a, b, decimals);
        }
    }
    function assertEqDecimal(uint a, uint b, uint decimals) internal {
        if (a != b) {
            emit log("Error: a == b not satisfied [decimal uint]");
            emit log_named_decimal_uint("      Left", a, decimals);
            emit log_named_decimal_uint("     Right", b, decimals);
            fail();
        }
    }
    function assertEqDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEqDecimal(a, b, decimals);
        }
    }

    function assertGt(uint a, uint b) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertGt(uint a, uint b, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGt(a, b);
        }
    }
    function assertGt(int a, int b) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertGt(int a, int b, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGt(a, b);
        }
    }
    function assertGtDecimal(int a, int b, uint decimals) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertGtDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGtDecimal(a, b, decimals);
        }
    }
    function assertGtDecimal(uint a, uint b, uint decimals) internal {
        if (a <= b) {
            emit log("Error: a > b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertGtDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a <= b) {
            emit log_named_string("Error", err);
            assertGtDecimal(a, b, decimals);
        }
    }

    function assertGe(uint a, uint b) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertGe(uint a, uint b, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGe(a, b);
        }
    }
    function assertGe(int a, int b) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertGe(int a, int b, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGe(a, b);
        }
    }
    function assertGeDecimal(int a, int b, uint decimals) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertGeDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }
    function assertGeDecimal(uint a, uint b, uint decimals) internal {
        if (a < b) {
            emit log("Error: a >= b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertGeDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a < b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }

    function assertLt(uint a, uint b) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertLt(uint a, uint b, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLt(a, b);
        }
    }
    function assertLt(int a, int b) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertLt(int a, int b, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLt(a, b);
        }
    }
    function assertLtDecimal(int a, int b, uint decimals) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertLtDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLtDecimal(a, b, decimals);
        }
    }
    function assertLtDecimal(uint a, uint b, uint decimals) internal {
        if (a >= b) {
            emit log("Error: a < b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertLtDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a >= b) {
            emit log_named_string("Error", err);
            assertLtDecimal(a, b, decimals);
        }
    }

    function assertLe(uint a, uint b) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [uint]");
            emit log_named_uint("  Value a", a);
            emit log_named_uint("  Value b", b);
            fail();
        }
    }
    function assertLe(uint a, uint b, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLe(a, b);
        }
    }
    function assertLe(int a, int b) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [int]");
            emit log_named_int("  Value a", a);
            emit log_named_int("  Value b", b);
            fail();
        }
    }
    function assertLe(int a, int b, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLe(a, b);
        }
    }
    function assertLeDecimal(int a, int b, uint decimals) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [decimal int]");
            emit log_named_decimal_int("  Value a", a, decimals);
            emit log_named_decimal_int("  Value b", b, decimals);
            fail();
        }
    }
    function assertLeDecimal(int a, int b, uint decimals, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertLeDecimal(a, b, decimals);
        }
    }
    function assertLeDecimal(uint a, uint b, uint decimals) internal {
        if (a > b) {
            emit log("Error: a <= b not satisfied [decimal uint]");
            emit log_named_decimal_uint("  Value a", a, decimals);
            emit log_named_decimal_uint("  Value b", b, decimals);
            fail();
        }
    }
    function assertLeDecimal(uint a, uint b, uint decimals, string memory err) internal {
        if (a > b) {
            emit log_named_string("Error", err);
            assertGeDecimal(a, b, decimals);
        }
    }

    function assertEq(string memory a, string memory b) internal {
        if (keccak256(abi.encodePacked(a)) != keccak256(abi.encodePacked(b))) {
            emit log("Error: a == b not satisfied [string]");
            emit log_named_string("      Left", a);
            emit log_named_string("     Right", b);
            fail();
        }
    }
    function assertEq(string memory a, string memory b, string memory err) internal {
        if (keccak256(abi.encodePacked(a)) != keccak256(abi.encodePacked(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function checkEq0(bytes memory a, bytes memory b) internal pure returns (bool ok) {
        ok = true;
        if (a.length == b.length) {
            for (uint i = 0; i < a.length; i++) {
                if (a[i] != b[i]) {
                    ok = false;
                }
            }
        } else {
            ok = false;
        }
    }
    function assertEq0(bytes memory a, bytes memory b) internal {
        if (!checkEq0(a, b)) {
            emit log("Error: a == b not satisfied [bytes]");
            emit log_named_bytes("      Left", a);
            emit log_named_bytes("     Right", b);
            fail();
        }
    }
    function assertEq0(bytes memory a, bytes memory b, string memory err) internal {
        if (!checkEq0(a, b)) {
            emit log_named_string("Error", err);
            assertEq0(a, b);
        }
    }
}

// SPDX-License-Identifier: MIT
// Copyright (c) 2023 the ethier authors (github.com/divergencetech/ethier)
pragma solidity >=0.8.0 <0.9.0;

import {AccessControlEnumerable as ACE} from "@openzeppelin/contracts/access/AccessControlEnumerable.sol";

contract AccessControlEnumerable is ACE {
    /// @notice The default role intended to perform access-restricted actions.
    /// @dev We are using this instead of DEFAULT_ADMIN_ROLE because the latter
    /// is intended to grant/revoke roles and will be secured differently.
    bytes32 public constant DEFAULT_STEERING_ROLE =
        keccak256("DEFAULT_STEERING_ROLE");

    /// @dev Overrides supportsInterface so that inheriting contracts can
    /// reference this contract instead of OZ's version for further overrides.
    function supportsInterface(bytes4 interfaceId)
        public
        view
        virtual
        override(ACE)
        returns (bool)
    {
        return ACE.supportsInterface(interfaceId);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import {StdStorage} from "./StdStorage.sol";
import {Vm, VmSafe} from "./Vm.sol";

abstract contract CommonBase {
    // Cheat code address, 0x7109709ECfa91a80626fF3989D68f67F5b1DD12D.
    address internal constant VM_ADDRESS = address(uint160(uint256(keccak256("hevm cheat code"))));
    // console.sol and console2.sol work by executing a staticcall to this address.
    address internal constant CONSOLE = 0x000000000000000000636F6e736F6c652e6c6f67;
    // Default address for tx.origin and msg.sender, 0x1804c8AB1F12E6bbf3894d4083f33e07309d1f38.
    address internal constant DEFAULT_SENDER = address(uint160(uint256(keccak256("foundry default caller"))));
    // Address of the test contract, deployed by the DEFAULT_SENDER.
    address internal constant DEFAULT_TEST_CONTRACT = 0x5615dEB798BB3E4dFa0139dFa1b3D433Cc23b72f;
    // Deterministic deployment address of the Multicall3 contract.
    address internal constant MULTICALL3_ADDRESS = 0xcA11bde05977b3631167028862bE2a173976CA11;

    uint256 internal constant UINT256_MAX =
        115792089237316195423570985008687907853269984665640564039457584007913129639935;

    Vm internal constant vm = Vm(VM_ADDRESS);
    StdStorage internal stdstore;
}

abstract contract TestBase is CommonBase {}

abstract contract ScriptBase is CommonBase {
    // Used when deploying with create2, https://github.com/Arachnid/deterministic-deployment-proxy.
    address internal constant CREATE2_FACTORY = 0x4e59b44847b379578588920cA78FbF26c0B4956C;

    VmSafe internal constant vmSafe = VmSafe(VM_ADDRESS);
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import {DSTest} from "ds-test/test.sol";
import {stdMath} from "./StdMath.sol";

abstract contract StdAssertions is DSTest {
    event log_array(uint256[] val);
    event log_array(int256[] val);
    event log_array(address[] val);
    event log_named_array(string key, uint256[] val);
    event log_named_array(string key, int256[] val);
    event log_named_array(string key, address[] val);

    function fail(string memory err) internal virtual {
        emit log_named_string("Error", err);
        fail();
    }

    function assertFalse(bool data) internal virtual {
        assertTrue(!data);
    }

    function assertFalse(bool data, string memory err) internal virtual {
        assertTrue(!data, err);
    }

    function assertEq(bool a, bool b) internal virtual {
        if (a != b) {
            emit log("Error: a == b not satisfied [bool]");
            emit log_named_string("  Expected", b ? "true" : "false");
            emit log_named_string("    Actual", a ? "true" : "false");
            fail();
        }
    }

    function assertEq(bool a, bool b, string memory err) internal virtual {
        if (a != b) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(bytes memory a, bytes memory b) internal virtual {
        assertEq0(a, b);
    }

    function assertEq(bytes memory a, bytes memory b, string memory err) internal virtual {
        assertEq0(a, b, err);
    }

    function assertEq(uint256[] memory a, uint256[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [uint[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(int256[] memory a, int256[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [int[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(address[] memory a, address[] memory b) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log("Error: a == b not satisfied [address[]]");
            emit log_named_array("  Expected", b);
            emit log_named_array("    Actual", a);
            fail();
        }
    }

    function assertEq(uint256[] memory a, uint256[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(int256[] memory a, int256[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    function assertEq(address[] memory a, address[] memory b, string memory err) internal virtual {
        if (keccak256(abi.encode(a)) != keccak256(abi.encode(b))) {
            emit log_named_string("Error", err);
            assertEq(a, b);
        }
    }

    // Legacy helper
    function assertEqUint(uint256 a, uint256 b) internal virtual {
        assertEq(uint256(a), uint256(b));
    }

    function assertApproxEqAbs(uint256 a, uint256 b, uint256 maxDelta) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_uint("  Expected", b);
            emit log_named_uint("    Actual", a);
            emit log_named_uint(" Max Delta", maxDelta);
            emit log_named_uint("     Delta", delta);
            fail();
        }
    }

    function assertApproxEqAbs(uint256 a, uint256 b, uint256 maxDelta, string memory err) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbs(a, b, maxDelta);
        }
    }

    function assertApproxEqAbsDecimal(uint256 a, uint256 b, uint256 maxDelta, uint256 decimals) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_decimal_uint("  Expected", b, decimals);
            emit log_named_decimal_uint("    Actual", a, decimals);
            emit log_named_decimal_uint(" Max Delta", maxDelta, decimals);
            emit log_named_decimal_uint("     Delta", delta, decimals);
            fail();
        }
    }

    function assertApproxEqAbsDecimal(uint256 a, uint256 b, uint256 maxDelta, uint256 decimals, string memory err)
        internal
        virtual
    {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbsDecimal(a, b, maxDelta, decimals);
        }
    }

    function assertApproxEqAbs(int256 a, int256 b, uint256 maxDelta) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_int("  Expected", b);
            emit log_named_int("    Actual", a);
            emit log_named_uint(" Max Delta", maxDelta);
            emit log_named_uint("     Delta", delta);
            fail();
        }
    }

    function assertApproxEqAbs(int256 a, int256 b, uint256 maxDelta, string memory err) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbs(a, b, maxDelta);
        }
    }

    function assertApproxEqAbsDecimal(int256 a, int256 b, uint256 maxDelta, uint256 decimals) internal virtual {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_decimal_int("  Expected", b, decimals);
            emit log_named_decimal_int("    Actual", a, decimals);
            emit log_named_decimal_uint(" Max Delta", maxDelta, decimals);
            emit log_named_decimal_uint("     Delta", delta, decimals);
            fail();
        }
    }

    function assertApproxEqAbsDecimal(int256 a, int256 b, uint256 maxDelta, uint256 decimals, string memory err)
        internal
        virtual
    {
        uint256 delta = stdMath.delta(a, b);

        if (delta > maxDelta) {
            emit log_named_string("Error", err);
            assertApproxEqAbsDecimal(a, b, maxDelta, decimals);
        }
    }

    function assertApproxEqRel(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta // An 18 decimal fixed point number, where 1e18 == 100%
    ) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_uint("    Expected", b);
            emit log_named_uint("      Actual", a);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRel(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta, // An 18 decimal fixed point number, where 1e18 == 100%
        string memory err
    ) internal virtual {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRel(a, b, maxPercentDelta);
        }
    }

    function assertApproxEqRelDecimal(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta, // An 18 decimal fixed point number, where 1e18 == 100%
        uint256 decimals
    ) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [uint]");
            emit log_named_decimal_uint("    Expected", b, decimals);
            emit log_named_decimal_uint("      Actual", a, decimals);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRelDecimal(
        uint256 a,
        uint256 b,
        uint256 maxPercentDelta, // An 18 decimal fixed point number, where 1e18 == 100%
        uint256 decimals,
        string memory err
    ) internal virtual {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRelDecimal(a, b, maxPercentDelta, decimals);
        }
    }

    function assertApproxEqRel(int256 a, int256 b, uint256 maxPercentDelta) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_int("    Expected", b);
            emit log_named_int("      Actual", a);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRel(int256 a, int256 b, uint256 maxPercentDelta, string memory err) internal virtual {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRel(a, b, maxPercentDelta);
        }
    }

    function assertApproxEqRelDecimal(int256 a, int256 b, uint256 maxPercentDelta, uint256 decimals) internal virtual {
        if (b == 0) return assertEq(a, b); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log("Error: a ~= b not satisfied [int]");
            emit log_named_decimal_int("    Expected", b, decimals);
            emit log_named_decimal_int("      Actual", a, decimals);
            emit log_named_decimal_uint(" Max % Delta", maxPercentDelta, 18);
            emit log_named_decimal_uint("     % Delta", percentDelta, 18);
            fail();
        }
    }

    function assertApproxEqRelDecimal(int256 a, int256 b, uint256 maxPercentDelta, uint256 decimals, string memory err)
        internal
        virtual
    {
        if (b == 0) return assertEq(a, b, err); // If the expected is 0, actual must be too.

        uint256 percentDelta = stdMath.percentDelta(a, b);

        if (percentDelta > maxPercentDelta) {
            emit log_named_string("Error", err);
            assertApproxEqRelDecimal(a, b, maxPercentDelta, decimals);
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

import {VmSafe} from "./Vm.sol";

/**
 * StdChains provides information about EVM compatible chains that can be used in scripts/tests.
 * For each chain, the chain's name, chain ID, and a default RPC URL are provided. Chains are
 * identified by their alias, which is the same as the alias in the `[rpc_endpoints]` section of
 * the `foundry.toml` file. For best UX, ensure the alias in the `foundry.toml` file match the
 * alias used in this contract, which can be found as the first argument to the
 * `setChainWithDefaultRpcUrl` call in the `initialize` function.
 *
 * There are two main ways to use this contract:
 *   1. Set a chain with `setChain(string memory chainAlias, ChainData memory chain)` or
 *      `setChain(string memory chainAlias, Chain memory chain)`
 *   2. Get a chain with `getChain(string memory chainAlias)` or `getChain(uint256 chainId)`.
 *
 * The first time either of those are used, chains are initialized with the default set of RPC URLs.
 * This is done in `initialize`, which uses `setChainWithDefaultRpcUrl`. Defaults are recorded in
 * `defaultRpcUrls`.
 *
 * The `setChain` function is straightforward, and it simply saves off the given chain data.
 *
 * The `getChain` methods use `getChainWithUpdatedRpcUrl` to return a chain. For example, let's say
 * we want to retrieve `mainnet`'s RPC URL:
 *   - If you haven't set any mainnet chain info with `setChain`, you haven't specified that
 *     chain in `foundry.toml` and no env var is set, the default data and RPC URL will be returned.
 *   - If you have set a mainnet RPC URL in `foundry.toml` it will return that, if valid (e.g. if
 *     a URL is given or if an environment variable is given and that environment variable exists).
 *     Otherwise, the default data is returned.
 *   - If you specified data with `setChain` it will return that.
 *
 * Summarizing the above, the prioritization hierarchy is `setChain` -> `foundry.toml` -> environment variable -> defaults.
 */
abstract contract StdChains {
    VmSafe private constant vm = VmSafe(address(uint160(uint256(keccak256("hevm cheat code")))));

    bool private initialized;

    struct ChainData {
        string name;
        uint256 chainId;
        string rpcUrl;
    }

    struct Chain {
        // The chain name.
        string name;
        // The chain's Chain ID.
        uint256 chainId;
        // The chain's alias. (i.e. what gets specified in `foundry.toml`).
        string chainAlias;
        // A default RPC endpoint for this chain.
        // NOTE: This default RPC URL is included for convenience to facilitate quick tests and
        // experimentation. Do not use this RPC URL for production test suites, CI, or other heavy
        // usage as you will be throttled and this is a disservice to others who need this endpoint.
        string rpcUrl;
    }

    // Maps from the chain's alias (matching the alias in the `foundry.toml` file) to chain data.
    mapping(string => Chain) private chains;
    // Maps from the chain's alias to it's default RPC URL.
    mapping(string => string) private defaultRpcUrls;
    // Maps from a chain ID to it's alias.
    mapping(uint256 => string) private idToAlias;

    bool private fallbackToDefaultRpcUrls = true;

    // The RPC URL will be fetched from config or defaultRpcUrls if possible.
    function getChain(string memory chainAlias) internal virtual returns (Chain memory chain) {
        require(bytes(chainAlias).length != 0, "StdChains getChain(string): Chain alias cannot be the empty string.");

        initialize();
        chain = chains[chainAlias];
        require(
            chain.chainId != 0,
            string(abi.encodePacked("StdChains getChain(string): Chain with alias \"", chainAlias, "\" not found."))
        );

        chain = getChainWithUpdatedRpcUrl(chainAlias, chain);
    }

    function getChain(uint256 chainId) internal virtual returns (Chain memory chain) {
        require(chainId != 0, "StdChains getChain(uint256): Chain ID cannot be 0.");
        initialize();
        string memory chainAlias = idToAlias[chainId];

        chain = chains[chainAlias];

        require(
            chain.chainId != 0,
            string(abi.encodePacked("StdChains getChain(uint256): Chain with ID ", vm.toString(chainId), " not found."))
        );

        chain = getChainWithUpdatedRpcUrl(chainAlias, chain);
    }

    // set chain info, with priority to argument's rpcUrl field.
    function setChain(string memory chainAlias, ChainData memory chain) internal virtual {
        require(
            bytes(chainAlias).length != 0,
            "StdChains setChain(string,ChainData): Chain alias cannot be the empty string."
        );

        require(chain.chainId != 0, "StdChains setChain(string,ChainData): Chain ID cannot be 0.");

        initialize();
        string memory foundAlias = idToAlias[chain.chainId];

        require(
            bytes(foundAlias).length == 0 || keccak256(bytes(foundAlias)) == keccak256(bytes(chainAlias)),
            string(
                abi.encodePacked(
                    "StdChains setChain(string,ChainData): Chain ID ",
                    vm.toString(chain.chainId),
                    " already used by \"",
                    foundAlias,
                    "\"."
                )
            )
        );

        uint256 oldChainId = chains[chainAlias].chainId;
        delete idToAlias[oldChainId];

        chains[chainAlias] =
            Chain({name: chain.name, chainId: chain.chainId, chainAlias: chainAlias, rpcUrl: chain.rpcUrl});
        idToAlias[chain.chainId] = chainAlias;
    }

    // set chain info, with priority to argument's rpcUrl field.
    function setChain(string memory chainAlias, Chain memory chain) internal virtual {
        setChain(chainAlias, ChainData({name: chain.name, chainId: chain.chainId, rpcUrl: chain.rpcUrl}));
    }

    function _toUpper(string memory str) private pure returns (string memory) {
        bytes memory strb = bytes(str);
        bytes memory copy = new bytes(strb.length);
        for (uint256 i = 0; i < strb.length; i++) {
            bytes1 b = strb[i];
            if (b >= 0x61 && b <= 0x7A) {
                copy[i] = bytes1(uint8(b) - 32);
            } else {
                copy[i] = b;
            }
        }
        return string(copy);
    }

    // lookup rpcUrl, in descending order of priority:
    // current -> config (foundry.toml) -> environment variable -> default
    function getChainWithUpdatedRpcUrl(string memory chainAlias, Chain memory chain) private returns (Chain memory) {
        if (bytes(chain.rpcUrl).length == 0) {
            try vm.rpcUrl(chainAlias) returns (string memory configRpcUrl) {
                chain.rpcUrl = configRpcUrl;
            } catch (bytes memory err) {
                string memory envName = string(abi.encodePacked(_toUpper(chainAlias), "_RPC_URL"));
                if (fallbackToDefaultRpcUrls) {
                    chain.rpcUrl = vm.envOr(envName, defaultRpcUrls[chainAlias]);
                } else {
                    chain.rpcUrl = vm.envString(envName);
                }
                // distinguish 'not found' from 'cannot read'
                bytes memory notFoundError =
                    abi.encodeWithSignature("CheatCodeError", string(abi.encodePacked("invalid rpc url ", chainAlias)));
                if (keccak256(notFoundError) != keccak256(err) || bytes(chain.rpcUrl).length == 0) {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, err), mload(err))
                    }
                }
            }
        }
        return chain;
    }

    function setFallbackToDefaultRpcUrls(bool useDefault) internal {
        fallbackToDefaultRpcUrls = useDefault;
    }

    function initialize() private {
        if (initialized) return;

        initialized = true;

        // If adding an RPC here, make sure to test the default RPC URL in `testRpcs`
        setChainWithDefaultRpcUrl("anvil", ChainData("Anvil", 31337, "http://127.0.0.1:8545"));
        setChainWithDefaultRpcUrl(
            "mainnet", ChainData("Mainnet", 1, "https://mainnet.infura.io/v3/f4a0bdad42674adab5fc0ac077ffab2b")
        );
        setChainWithDefaultRpcUrl(
            "goerli", ChainData("Goerli", 5, "https://goerli.infura.io/v3/f4a0bdad42674adab5fc0ac077ffab2b")
        );
        setChainWithDefaultRpcUrl(
            "sepolia", ChainData("Sepolia", 11155111, "https://sepolia.infura.io/v3/f4a0bdad42674adab5fc0ac077ffab2b")
        );
        setChainWithDefaultRpcUrl("optimism", ChainData("Optimism", 10, "https://mainnet.optimism.io"));
        setChainWithDefaultRpcUrl("optimism_goerli", ChainData("Optimism Goerli", 420, "https://goerli.optimism.io"));
        setChainWithDefaultRpcUrl("arbitrum_one", ChainData("Arbitrum One", 42161, "https://arb1.arbitrum.io/rpc"));
        setChainWithDefaultRpcUrl(
            "arbitrum_one_goerli", ChainData("Arbitrum One Goerli", 421613, "https://goerli-rollup.arbitrum.io/rpc")
        );
        setChainWithDefaultRpcUrl("arbitrum_nova", ChainData("Arbitrum Nova", 42170, "https://nova.arbitrum.io/rpc"));
        setChainWithDefaultRpcUrl("polygon", ChainData("Polygon", 137, "https://polygon-rpc.com"));
        setChainWithDefaultRpcUrl(
            "polygon_mumbai", ChainData("Polygon Mumbai", 80001, "https://rpc-mumbai.maticvigil.com")
        );
        setChainWithDefaultRpcUrl("avalanche", ChainData("Avalanche", 43114, "https://api.avax.network/ext/bc/C/rpc"));
        setChainWithDefaultRpcUrl(
            "avalanche_fuji", ChainData("Avalanche Fuji", 43113, "https://api.avax-test.network/ext/bc/C/rpc")
        );
        setChainWithDefaultRpcUrl(
            "bnb_smart_chain", ChainData("BNB Smart Chain", 56, "https://bsc-dataseed1.binance.org")
        );
        setChainWithDefaultRpcUrl(
            "bnb_smart_chain_testnet",
            ChainData("BNB Smart Chain Testnet", 97, "https://rpc.ankr.com/bsc_testnet_chapel")
        );
        setChainWithDefaultRpcUrl("gnosis_chain", ChainData("Gnosis Chain", 100, "https://rpc.gnosischain.com"));
    }

    // set chain info, with priority to chainAlias' rpc url in foundry.toml
    function setChainWithDefaultRpcUrl(string memory chainAlias, ChainData memory chain) private {
        string memory rpcUrl = chain.rpcUrl;
        defaultRpcUrls[chainAlias] = rpcUrl;
        chain.rpcUrl = "";
        setChain(chainAlias, chain);
        chain.rpcUrl = rpcUrl; // restore argument
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

import {StdStorage, stdStorage} from "./StdStorage.sol";
import {Vm} from "./Vm.sol";

abstract contract StdCheatsSafe {
    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    bool private gasMeteringOff;

    // Data structures to parse Transaction objects from the broadcast artifact
    // that conform to EIP1559. The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct RawTx1559 {
        string[] arguments;
        address contractAddress;
        string contractName;
        // json value name = function
        string functionSig;
        bytes32 hash;
        // json value name = tx
        RawTx1559Detail txDetail;
        // json value name = type
        string opcode;
    }

    struct RawTx1559Detail {
        AccessList[] accessList;
        bytes data;
        address from;
        bytes gas;
        bytes nonce;
        address to;
        bytes txType;
        bytes value;
    }

    struct Tx1559 {
        string[] arguments;
        address contractAddress;
        string contractName;
        string functionSig;
        bytes32 hash;
        Tx1559Detail txDetail;
        string opcode;
    }

    struct Tx1559Detail {
        AccessList[] accessList;
        bytes data;
        address from;
        uint256 gas;
        uint256 nonce;
        address to;
        uint256 txType;
        uint256 value;
    }

    // Data structures to parse Transaction objects from the broadcast artifact
    // that DO NOT conform to EIP1559. The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct TxLegacy {
        string[] arguments;
        address contractAddress;
        string contractName;
        string functionSig;
        string hash;
        string opcode;
        TxDetailLegacy transaction;
    }

    struct TxDetailLegacy {
        AccessList[] accessList;
        uint256 chainId;
        bytes data;
        address from;
        uint256 gas;
        uint256 gasPrice;
        bytes32 hash;
        uint256 nonce;
        bytes1 opcode;
        bytes32 r;
        bytes32 s;
        uint256 txType;
        address to;
        uint8 v;
        uint256 value;
    }

    struct AccessList {
        address accessAddress;
        bytes32[] storageKeys;
    }

    // Data structures to parse Receipt objects from the broadcast artifact.
    // The Raw structs is what is parsed from the JSON
    // and then converted to the one that is used by the user for better UX.

    struct RawReceipt {
        bytes32 blockHash;
        bytes blockNumber;
        address contractAddress;
        bytes cumulativeGasUsed;
        bytes effectiveGasPrice;
        address from;
        bytes gasUsed;
        RawReceiptLog[] logs;
        bytes logsBloom;
        bytes status;
        address to;
        bytes32 transactionHash;
        bytes transactionIndex;
    }

    struct Receipt {
        bytes32 blockHash;
        uint256 blockNumber;
        address contractAddress;
        uint256 cumulativeGasUsed;
        uint256 effectiveGasPrice;
        address from;
        uint256 gasUsed;
        ReceiptLog[] logs;
        bytes logsBloom;
        uint256 status;
        address to;
        bytes32 transactionHash;
        uint256 transactionIndex;
    }

    // Data structures to parse the entire broadcast artifact, assuming the
    // transactions conform to EIP1559.

    struct EIP1559ScriptArtifact {
        string[] libraries;
        string path;
        string[] pending;
        Receipt[] receipts;
        uint256 timestamp;
        Tx1559[] transactions;
        TxReturn[] txReturns;
    }

    struct RawEIP1559ScriptArtifact {
        string[] libraries;
        string path;
        string[] pending;
        RawReceipt[] receipts;
        TxReturn[] txReturns;
        uint256 timestamp;
        RawTx1559[] transactions;
    }

    struct RawReceiptLog {
        // json value = address
        address logAddress;
        bytes32 blockHash;
        bytes blockNumber;
        bytes data;
        bytes logIndex;
        bool removed;
        bytes32[] topics;
        bytes32 transactionHash;
        bytes transactionIndex;
        bytes transactionLogIndex;
    }

    struct ReceiptLog {
        // json value = address
        address logAddress;
        bytes32 blockHash;
        uint256 blockNumber;
        bytes data;
        uint256 logIndex;
        bytes32[] topics;
        uint256 transactionIndex;
        uint256 transactionLogIndex;
        bool removed;
    }

    struct TxReturn {
        string internalType;
        string value;
    }

    function assumeNoPrecompiles(address addr) internal virtual {
        // Assembly required since `block.chainid` was introduced in 0.8.0.
        uint256 chainId;
        assembly {
            chainId := chainid()
        }
        assumeNoPrecompiles(addr, chainId);
    }

    function assumeNoPrecompiles(address addr, uint256 chainId) internal pure virtual {
        // Note: For some chains like Optimism these are technically predeploys (i.e. bytecode placed at a specific
        // address), but the same rationale for excluding them applies so we include those too.

        // These should be present on all EVM-compatible chains.
        vm.assume(addr < address(0x1) || addr > address(0x9));

        // forgefmt: disable-start
        if (chainId == 10 || chainId == 420) {
            // https://github.com/ethereum-optimism/optimism/blob/eaa371a0184b56b7ca6d9eb9cb0a2b78b2ccd864/op-bindings/predeploys/addresses.go#L6-L21
            vm.assume(addr < address(0x4200000000000000000000000000000000000000) || addr > address(0x4200000000000000000000000000000000000800));
        } else if (chainId == 42161 || chainId == 421613) {
            // https://developer.arbitrum.io/useful-addresses#arbitrum-precompiles-l2-same-on-all-arb-chains
            vm.assume(addr < address(0x0000000000000000000000000000000000000064) || addr > address(0x0000000000000000000000000000000000000068));
        } else if (chainId == 43114 || chainId == 43113) {
            // https://github.com/ava-labs/subnet-evm/blob/47c03fd007ecaa6de2c52ea081596e0a88401f58/precompile/params.go#L18-L59
            vm.assume(addr < address(0x0100000000000000000000000000000000000000) || addr > address(0x01000000000000000000000000000000000000ff));
            vm.assume(addr < address(0x0200000000000000000000000000000000000000) || addr > address(0x02000000000000000000000000000000000000FF));
            vm.assume(addr < address(0x0300000000000000000000000000000000000000) || addr > address(0x03000000000000000000000000000000000000Ff));
        }
        // forgefmt: disable-end
    }

    function readEIP1559ScriptArtifact(string memory path)
        internal
        view
        virtual
        returns (EIP1559ScriptArtifact memory)
    {
        string memory data = vm.readFile(path);
        bytes memory parsedData = vm.parseJson(data);
        RawEIP1559ScriptArtifact memory rawArtifact = abi.decode(parsedData, (RawEIP1559ScriptArtifact));
        EIP1559ScriptArtifact memory artifact;
        artifact.libraries = rawArtifact.libraries;
        artifact.path = rawArtifact.path;
        artifact.timestamp = rawArtifact.timestamp;
        artifact.pending = rawArtifact.pending;
        artifact.txReturns = rawArtifact.txReturns;
        artifact.receipts = rawToConvertedReceipts(rawArtifact.receipts);
        artifact.transactions = rawToConvertedEIPTx1559s(rawArtifact.transactions);
        return artifact;
    }

    function rawToConvertedEIPTx1559s(RawTx1559[] memory rawTxs) internal pure virtual returns (Tx1559[] memory) {
        Tx1559[] memory txs = new Tx1559[](rawTxs.length);
        for (uint256 i; i < rawTxs.length; i++) {
            txs[i] = rawToConvertedEIPTx1559(rawTxs[i]);
        }
        return txs;
    }

    function rawToConvertedEIPTx1559(RawTx1559 memory rawTx) internal pure virtual returns (Tx1559 memory) {
        Tx1559 memory transaction;
        transaction.arguments = rawTx.arguments;
        transaction.contractName = rawTx.contractName;
        transaction.functionSig = rawTx.functionSig;
        transaction.hash = rawTx.hash;
        transaction.txDetail = rawToConvertedEIP1559Detail(rawTx.txDetail);
        transaction.opcode = rawTx.opcode;
        return transaction;
    }

    function rawToConvertedEIP1559Detail(RawTx1559Detail memory rawDetail)
        internal
        pure
        virtual
        returns (Tx1559Detail memory)
    {
        Tx1559Detail memory txDetail;
        txDetail.data = rawDetail.data;
        txDetail.from = rawDetail.from;
        txDetail.to = rawDetail.to;
        txDetail.nonce = _bytesToUint(rawDetail.nonce);
        txDetail.txType = _bytesToUint(rawDetail.txType);
        txDetail.value = _bytesToUint(rawDetail.value);
        txDetail.gas = _bytesToUint(rawDetail.gas);
        txDetail.accessList = rawDetail.accessList;
        return txDetail;
    }

    function readTx1559s(string memory path) internal view virtual returns (Tx1559[] memory) {
        string memory deployData = vm.readFile(path);
        bytes memory parsedDeployData = vm.parseJson(deployData, ".transactions");
        RawTx1559[] memory rawTxs = abi.decode(parsedDeployData, (RawTx1559[]));
        return rawToConvertedEIPTx1559s(rawTxs);
    }

    function readTx1559(string memory path, uint256 index) internal view virtual returns (Tx1559 memory) {
        string memory deployData = vm.readFile(path);
        string memory key = string(abi.encodePacked(".transactions[", vm.toString(index), "]"));
        bytes memory parsedDeployData = vm.parseJson(deployData, key);
        RawTx1559 memory rawTx = abi.decode(parsedDeployData, (RawTx1559));
        return rawToConvertedEIPTx1559(rawTx);
    }

    // Analogous to readTransactions, but for receipts.
    function readReceipts(string memory path) internal view virtual returns (Receipt[] memory) {
        string memory deployData = vm.readFile(path);
        bytes memory parsedDeployData = vm.parseJson(deployData, ".receipts");
        RawReceipt[] memory rawReceipts = abi.decode(parsedDeployData, (RawReceipt[]));
        return rawToConvertedReceipts(rawReceipts);
    }

    function readReceipt(string memory path, uint256 index) internal view virtual returns (Receipt memory) {
        string memory deployData = vm.readFile(path);
        string memory key = string(abi.encodePacked(".receipts[", vm.toString(index), "]"));
        bytes memory parsedDeployData = vm.parseJson(deployData, key);
        RawReceipt memory rawReceipt = abi.decode(parsedDeployData, (RawReceipt));
        return rawToConvertedReceipt(rawReceipt);
    }

    function rawToConvertedReceipts(RawReceipt[] memory rawReceipts) internal pure virtual returns (Receipt[] memory) {
        Receipt[] memory receipts = new Receipt[](rawReceipts.length);
        for (uint256 i; i < rawReceipts.length; i++) {
            receipts[i] = rawToConvertedReceipt(rawReceipts[i]);
        }
        return receipts;
    }

    function rawToConvertedReceipt(RawReceipt memory rawReceipt) internal pure virtual returns (Receipt memory) {
        Receipt memory receipt;
        receipt.blockHash = rawReceipt.blockHash;
        receipt.to = rawReceipt.to;
        receipt.from = rawReceipt.from;
        receipt.contractAddress = rawReceipt.contractAddress;
        receipt.effectiveGasPrice = _bytesToUint(rawReceipt.effectiveGasPrice);
        receipt.cumulativeGasUsed = _bytesToUint(rawReceipt.cumulativeGasUsed);
        receipt.gasUsed = _bytesToUint(rawReceipt.gasUsed);
        receipt.status = _bytesToUint(rawReceipt.status);
        receipt.transactionIndex = _bytesToUint(rawReceipt.transactionIndex);
        receipt.blockNumber = _bytesToUint(rawReceipt.blockNumber);
        receipt.logs = rawToConvertedReceiptLogs(rawReceipt.logs);
        receipt.logsBloom = rawReceipt.logsBloom;
        receipt.transactionHash = rawReceipt.transactionHash;
        return receipt;
    }

    function rawToConvertedReceiptLogs(RawReceiptLog[] memory rawLogs)
        internal
        pure
        virtual
        returns (ReceiptLog[] memory)
    {
        ReceiptLog[] memory logs = new ReceiptLog[](rawLogs.length);
        for (uint256 i; i < rawLogs.length; i++) {
            logs[i].logAddress = rawLogs[i].logAddress;
            logs[i].blockHash = rawLogs[i].blockHash;
            logs[i].blockNumber = _bytesToUint(rawLogs[i].blockNumber);
            logs[i].data = rawLogs[i].data;
            logs[i].logIndex = _bytesToUint(rawLogs[i].logIndex);
            logs[i].topics = rawLogs[i].topics;
            logs[i].transactionIndex = _bytesToUint(rawLogs[i].transactionIndex);
            logs[i].transactionLogIndex = _bytesToUint(rawLogs[i].transactionLogIndex);
            logs[i].removed = rawLogs[i].removed;
        }
        return logs;
    }

    // Deploy a contract by fetching the contract bytecode from
    // the artifacts directory
    // e.g. `deployCode(code, abi.encode(arg1,arg2,arg3))`
    function deployCode(string memory what, bytes memory args) internal virtual returns (address addr) {
        bytes memory bytecode = abi.encodePacked(vm.getCode(what), args);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(0, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,bytes): Deployment failed.");
    }

    function deployCode(string memory what) internal virtual returns (address addr) {
        bytes memory bytecode = vm.getCode(what);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(0, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string): Deployment failed.");
    }

    /// @dev deploy contract with value on construction
    function deployCode(string memory what, bytes memory args, uint256 val) internal virtual returns (address addr) {
        bytes memory bytecode = abi.encodePacked(vm.getCode(what), args);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(val, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,bytes,uint256): Deployment failed.");
    }

    function deployCode(string memory what, uint256 val) internal virtual returns (address addr) {
        bytes memory bytecode = vm.getCode(what);
        /// @solidity memory-safe-assembly
        assembly {
            addr := create(val, add(bytecode, 0x20), mload(bytecode))
        }

        require(addr != address(0), "StdCheats deployCode(string,uint256): Deployment failed.");
    }

    // creates a labeled address and the corresponding private key
    function makeAddrAndKey(string memory name) internal virtual returns (address addr, uint256 privateKey) {
        privateKey = uint256(keccak256(abi.encodePacked(name)));
        addr = vm.addr(privateKey);
        vm.label(addr, name);
    }

    // creates a labeled address
    function makeAddr(string memory name) internal virtual returns (address addr) {
        (addr,) = makeAddrAndKey(name);
    }

    function deriveRememberKey(string memory mnemonic, uint32 index)
        internal
        virtual
        returns (address who, uint256 privateKey)
    {
        privateKey = vm.deriveKey(mnemonic, index);
        who = vm.rememberKey(privateKey);
    }

    function _bytesToUint(bytes memory b) private pure returns (uint256) {
        require(b.length <= 32, "StdCheats _bytesToUint(bytes): Bytes length exceeds 32.");
        return abi.decode(abi.encodePacked(new bytes(32 - b.length), b), (uint256));
    }

    function isFork() internal view virtual returns (bool status) {
        try vm.activeFork() {
            status = true;
        } catch (bytes memory) {}
    }

    modifier skipWhenForking() {
        if (!isFork()) {
            _;
        }
    }

    modifier skipWhenNotForking() {
        if (isFork()) {
            _;
        }
    }

    modifier noGasMetering() {
        vm.pauseGasMetering();
        // To prevent turning gas monitoring back on with nested functions that use this modifier,
        // we check if gasMetering started in the off position. If it did, we don't want to turn
        // it back on until we exit the top level function that used the modifier
        //
        // i.e. funcA() noGasMetering { funcB() }, where funcB has noGasMetering as well.
        // funcA will have `gasStartedOff` as false, funcB will have it as true,
        // so we only turn metering back on at the end of the funcA
        bool gasStartedOff = gasMeteringOff;
        gasMeteringOff = true;

        _;

        // if gas metering was on when this modifier was called, turn it back on at the end
        if (!gasStartedOff) {
            gasMeteringOff = false;
            vm.resumeGasMetering();
        }
    }

    // a cheat for fuzzing addresses that are payable only
    // see https://github.com/foundry-rs/foundry/issues/3631
    function assumePayable(address addr) internal virtual {
        (bool success,) = payable(addr).call{value: 0}("");
        vm.assume(success);
    }
}

// Wrappers around cheatcodes to avoid footguns
abstract contract StdCheats is StdCheatsSafe {
    using stdStorage for StdStorage;

    StdStorage private stdstore;
    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    // Skip forward or rewind time by the specified number of seconds
    function skip(uint256 time) internal virtual {
        vm.warp(block.timestamp + time);
    }

    function rewind(uint256 time) internal virtual {
        vm.warp(block.timestamp - time);
    }

    // Setup a prank from an address that has some ether
    function hoax(address msgSender) internal virtual {
        vm.deal(msgSender, 1 << 128);
        vm.prank(msgSender);
    }

    function hoax(address msgSender, uint256 give) internal virtual {
        vm.deal(msgSender, give);
        vm.prank(msgSender);
    }

    function hoax(address msgSender, address origin) internal virtual {
        vm.deal(msgSender, 1 << 128);
        vm.prank(msgSender, origin);
    }

    function hoax(address msgSender, address origin, uint256 give) internal virtual {
        vm.deal(msgSender, give);
        vm.prank(msgSender, origin);
    }

    // Start perpetual prank from an address that has some ether
    function startHoax(address msgSender) internal virtual {
        vm.deal(msgSender, 1 << 128);
        vm.startPrank(msgSender);
    }

    function startHoax(address msgSender, uint256 give) internal virtual {
        vm.deal(msgSender, give);
        vm.startPrank(msgSender);
    }

    // Start perpetual prank from an address that has some ether
    // tx.origin is set to the origin parameter
    function startHoax(address msgSender, address origin) internal virtual {
        vm.deal(msgSender, 1 << 128);
        vm.startPrank(msgSender, origin);
    }

    function startHoax(address msgSender, address origin, uint256 give) internal virtual {
        vm.deal(msgSender, give);
        vm.startPrank(msgSender, origin);
    }

    function changePrank(address msgSender) internal virtual {
        vm.stopPrank();
        vm.startPrank(msgSender);
    }

    // The same as Vm's `deal`
    // Use the alternative signature for ERC20 tokens
    function deal(address to, uint256 give) internal virtual {
        vm.deal(to, give);
    }

    // Set the balance of an account for any ERC20 token
    // Use the alternative signature to update `totalSupply`
    function deal(address token, address to, uint256 give) internal virtual {
        deal(token, to, give, false);
    }

    function deal(address token, address to, uint256 give, bool adjust) internal virtual {
        // get current balance
        (, bytes memory balData) = token.call(abi.encodeWithSelector(0x70a08231, to));
        uint256 prevBal = abi.decode(balData, (uint256));

        // update balance
        stdstore.target(token).sig(0x70a08231).with_key(to).checked_write(give);

        // update total supply
        if (adjust) {
            (, bytes memory totSupData) = token.call(abi.encodeWithSelector(0x18160ddd));
            uint256 totSup = abi.decode(totSupData, (uint256));
            if (give < prevBal) {
                totSup -= (prevBal - give);
            } else {
                totSup += (give - prevBal);
            }
            stdstore.target(token).sig(0x18160ddd).checked_write(totSup);
        }
    }
}

// SPDX-License-Identifier: MIT
// Panics work for versions >=0.8.0, but we lowered the pragma to make this compatible with Test
pragma solidity >=0.6.2 <0.9.0;

library stdError {
    bytes public constant assertionError = abi.encodeWithSignature("Panic(uint256)", 0x01);
    bytes public constant arithmeticError = abi.encodeWithSignature("Panic(uint256)", 0x11);
    bytes public constant divisionError = abi.encodeWithSignature("Panic(uint256)", 0x12);
    bytes public constant enumConversionError = abi.encodeWithSignature("Panic(uint256)", 0x21);
    bytes public constant encodeStorageError = abi.encodeWithSignature("Panic(uint256)", 0x22);
    bytes public constant popError = abi.encodeWithSignature("Panic(uint256)", 0x31);
    bytes public constant indexOOBError = abi.encodeWithSignature("Panic(uint256)", 0x32);
    bytes public constant memOverflowError = abi.encodeWithSignature("Panic(uint256)", 0x41);
    bytes public constant zeroVarError = abi.encodeWithSignature("Panic(uint256)", 0x51);
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

contract StdInvariant {
    struct FuzzSelector {
        address addr;
        bytes4[] selectors;
    }

    address[] private _excludedContracts;
    address[] private _excludedSenders;
    address[] private _targetedContracts;
    address[] private _targetedSenders;

    string[] private _excludedArtifacts;
    string[] private _targetedArtifacts;

    FuzzSelector[] private _targetedArtifactSelectors;
    FuzzSelector[] private _targetedSelectors;

    // Functions for users:
    // These are intended to be called in tests.

    function excludeContract(address newExcludedContract_) internal {
        _excludedContracts.push(newExcludedContract_);
    }

    function excludeSender(address newExcludedSender_) internal {
        _excludedSenders.push(newExcludedSender_);
    }

    function excludeArtifact(string memory newExcludedArtifact_) internal {
        _excludedArtifacts.push(newExcludedArtifact_);
    }

    function targetArtifact(string memory newTargetedArtifact_) internal {
        _targetedArtifacts.push(newTargetedArtifact_);
    }

    function targetArtifactSelector(FuzzSelector memory newTargetedArtifactSelector_) internal {
        _targetedArtifactSelectors.push(newTargetedArtifactSelector_);
    }

    function targetContract(address newTargetedContract_) internal {
        _targetedContracts.push(newTargetedContract_);
    }

    function targetSelector(FuzzSelector memory newTargetedSelector_) internal {
        _targetedSelectors.push(newTargetedSelector_);
    }

    function targetSender(address newTargetedSender_) internal {
        _targetedSenders.push(newTargetedSender_);
    }

    // Functions for forge:
    // These are called by forge to run invariant tests and don't need to be called in tests.

    function excludeArtifacts() public view returns (string[] memory excludedArtifacts_) {
        excludedArtifacts_ = _excludedArtifacts;
    }

    function excludeContracts() public view returns (address[] memory excludedContracts_) {
        excludedContracts_ = _excludedContracts;
    }

    function excludeSenders() public view returns (address[] memory excludedSenders_) {
        excludedSenders_ = _excludedSenders;
    }

    function targetArtifacts() public view returns (string[] memory targetedArtifacts_) {
        targetedArtifacts_ = _targetedArtifacts;
    }

    function targetArtifactSelectors() public view returns (FuzzSelector[] memory targetedArtifactSelectors_) {
        targetedArtifactSelectors_ = _targetedArtifactSelectors;
    }

    function targetContracts() public view returns (address[] memory targetedContracts_) {
        targetedContracts_ = _targetedContracts;
    }

    function targetSelectors() public view returns (FuzzSelector[] memory targetedSelectors_) {
        targetedSelectors_ = _targetedSelectors;
    }

    function targetSenders() public view returns (address[] memory targetedSenders_) {
        targetedSenders_ = _targetedSenders;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.9.0;

pragma experimental ABIEncoderV2;

import {VmSafe} from "./Vm.sol";

// Helpers for parsing and writing JSON files
// To parse:
// ```
// using stdJson for string;
// string memory json = vm.readFile("some_peth");
// json.parseUint("<json_path>");
// ```
// To write:
// ```
// using stdJson for string;
// string memory json = "deploymentArtifact";
// Contract contract = new Contract();
// json.serialize("contractAddress", address(contract));
// json = json.serialize("deploymentTimes", uint(1));
// // store the stringified JSON to the 'json' variable we have been using as a key
// // as we won't need it any longer
// string memory json2 = "finalArtifact";
// string memory final = json2.serialize("depArtifact", json);
// final.write("<some_path>");
// ```

library stdJson {
    VmSafe private constant vm = VmSafe(address(uint160(uint256(keccak256("hevm cheat code")))));

    function parseRaw(string memory json, string memory key) internal pure returns (bytes memory) {
        return vm.parseJson(json, key);
    }

    function readUint(string memory json, string memory key) internal returns (uint256) {
        return vm.parseJsonUint(json, key);
    }

    function readUintArray(string memory json, string memory key) internal returns (uint256[] memory) {
        return vm.parseJsonUintArray(json, key);
    }

    function readInt(string memory json, string memory key) internal returns (int256) {
        return vm.parseJsonInt(json, key);
    }

    function readIntArray(string memory json, string memory key) internal returns (int256[] memory) {
        return vm.parseJsonIntArray(json, key);
    }

    function readBytes32(string memory json, string memory key) internal returns (bytes32) {
        return vm.parseJsonBytes32(json, key);
    }

    function readBytes32Array(string memory json, string memory key) internal returns (bytes32[] memory) {
        return vm.parseJsonBytes32Array(json, key);
    }

    function readString(string memory json, string memory key) internal returns (string memory) {
        return vm.parseJsonString(json, key);
    }

    function readStringArray(string memory json, string memory key) internal returns (string[] memory) {
        return vm.parseJsonStringArray(json, key);
    }

    function readAddress(string memory json, string memory key) internal returns (address) {
        return vm.parseJsonAddress(json, key);
    }

    function readAddressArray(string memory json, string memory key) internal returns (address[] memory) {
        return vm.parseJsonAddressArray(json, key);
    }

    function readBool(string memory json, string memory key) internal returns (bool) {
        return vm.parseJsonBool(json, key);
    }

    function readBoolArray(string memory json, string memory key) internal returns (bool[] memory) {
        return vm.parseJsonBoolArray(json, key);
    }

    function readBytes(string memory json, string memory key) internal returns (bytes memory) {
        return vm.parseJsonBytes(json, key);
    }

    function readBytesArray(string memory json, string memory key) internal returns (bytes[] memory) {
        return vm.parseJsonBytesArray(json, key);
    }

    function serialize(string memory jsonKey, string memory key, bool value) internal returns (string memory) {
        return vm.serializeBool(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bool[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBool(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, uint256 value) internal returns (string memory) {
        return vm.serializeUint(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, uint256[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeUint(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, int256 value) internal returns (string memory) {
        return vm.serializeInt(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, int256[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeInt(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, address value) internal returns (string memory) {
        return vm.serializeAddress(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, address[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeAddress(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes32 value) internal returns (string memory) {
        return vm.serializeBytes32(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes32[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBytes32(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes memory value) internal returns (string memory) {
        return vm.serializeBytes(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, bytes[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeBytes(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, string memory value)
        internal
        returns (string memory)
    {
        return vm.serializeString(jsonKey, key, value);
    }

    function serialize(string memory jsonKey, string memory key, string[] memory value)
        internal
        returns (string memory)
    {
        return vm.serializeString(jsonKey, key, value);
    }

    function write(string memory jsonKey, string memory path) internal {
        vm.writeJson(jsonKey, path);
    }

    function write(string memory jsonKey, string memory path, string memory valueKey) internal {
        vm.writeJson(jsonKey, path, valueKey);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

library stdMath {
    int256 private constant INT256_MIN = -57896044618658097711785492504343953926634992332820282019728792003956564819968;

    function abs(int256 a) internal pure returns (uint256) {
        // Required or it will fail when `a = type(int256).min`
        if (a == INT256_MIN) {
            return 57896044618658097711785492504343953926634992332820282019728792003956564819968;
        }

        return uint256(a > 0 ? a : -a);
    }

    function delta(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a - b : b - a;
    }

    function delta(int256 a, int256 b) internal pure returns (uint256) {
        // a and b are of the same sign
        // this works thanks to two's complement, the left-most bit is the sign bit
        if ((a ^ b) > -1) {
            return delta(abs(a), abs(b));
        }

        // a and b are of opposite signs
        return abs(a) + abs(b);
    }

    function percentDelta(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 absDelta = delta(a, b);

        return absDelta * 1e18 / b;
    }

    function percentDelta(int256 a, int256 b) internal pure returns (uint256) {
        uint256 absDelta = delta(a, b);
        uint256 absB = abs(b);

        return absDelta * 1e18 / absB;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

import {Vm} from "./Vm.sol";

struct StdStorage {
    mapping(address => mapping(bytes4 => mapping(bytes32 => uint256))) slots;
    mapping(address => mapping(bytes4 => mapping(bytes32 => bool))) finds;
    bytes32[] _keys;
    bytes4 _sig;
    uint256 _depth;
    address _target;
    bytes32 _set;
}

library stdStorageSafe {
    event SlotFound(address who, bytes4 fsig, bytes32 keysHash, uint256 slot);
    event WARNING_UninitedSlot(address who, uint256 slot);

    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    function sigs(string memory sigStr) internal pure returns (bytes4) {
        return bytes4(keccak256(bytes(sigStr)));
    }

    /// @notice find an arbitrary storage slot given a function sig, input data, address of the contract and a value to check against
    // slot complexity:
    //  if flat, will be bytes32(uint256(uint));
    //  if map, will be keccak256(abi.encode(key, uint(slot)));
    //  if deep map, will be keccak256(abi.encode(key1, keccak256(abi.encode(key0, uint(slot)))));
    //  if map struct, will be bytes32(uint256(keccak256(abi.encode(key1, keccak256(abi.encode(key0, uint(slot)))))) + structFieldDepth);
    function find(StdStorage storage self) internal returns (uint256) {
        address who = self._target;
        bytes4 fsig = self._sig;
        uint256 field_depth = self._depth;
        bytes32[] memory ins = self._keys;

        // calldata to test against
        if (self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]) {
            return self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))];
        }
        bytes memory cald = abi.encodePacked(fsig, flatten(ins));
        vm.record();
        bytes32 fdat;
        {
            (, bytes memory rdat) = who.staticcall(cald);
            fdat = bytesToBytes32(rdat, 32 * field_depth);
        }

        (bytes32[] memory reads,) = vm.accesses(address(who));
        if (reads.length == 1) {
            bytes32 curr = vm.load(who, reads[0]);
            if (curr == bytes32(0)) {
                emit WARNING_UninitedSlot(who, uint256(reads[0]));
            }
            if (fdat != curr) {
                require(
                    false,
                    "stdStorage find(StdStorage): Packed slot. This would cause dangerous overwriting and currently isn't supported."
                );
            }
            emit SlotFound(who, fsig, keccak256(abi.encodePacked(ins, field_depth)), uint256(reads[0]));
            self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = uint256(reads[0]);
            self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = true;
        } else if (reads.length > 1) {
            for (uint256 i = 0; i < reads.length; i++) {
                bytes32 prev = vm.load(who, reads[i]);
                if (prev == bytes32(0)) {
                    emit WARNING_UninitedSlot(who, uint256(reads[i]));
                }
                // store
                vm.store(who, reads[i], bytes32(hex"1337"));
                bool success;
                bytes memory rdat;
                {
                    (success, rdat) = who.staticcall(cald);
                    fdat = bytesToBytes32(rdat, 32 * field_depth);
                }

                if (success && fdat == bytes32(hex"1337")) {
                    // we found which of the slots is the actual one
                    emit SlotFound(who, fsig, keccak256(abi.encodePacked(ins, field_depth)), uint256(reads[i]));
                    self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = uint256(reads[i]);
                    self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))] = true;
                    vm.store(who, reads[i], prev);
                    break;
                }
                vm.store(who, reads[i], prev);
            }
        } else {
            revert("stdStorage find(StdStorage): No storage use detected for target.");
        }

        require(
            self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))],
            "stdStorage find(StdStorage): Slot(s) not found."
        );

        delete self._target;
        delete self._sig;
        delete self._keys;
        delete self._depth;

        return self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))];
    }

    function target(StdStorage storage self, address _target) internal returns (StdStorage storage) {
        self._target = _target;
        return self;
    }

    function sig(StdStorage storage self, bytes4 _sig) internal returns (StdStorage storage) {
        self._sig = _sig;
        return self;
    }

    function sig(StdStorage storage self, string memory _sig) internal returns (StdStorage storage) {
        self._sig = sigs(_sig);
        return self;
    }

    function with_key(StdStorage storage self, address who) internal returns (StdStorage storage) {
        self._keys.push(bytes32(uint256(uint160(who))));
        return self;
    }

    function with_key(StdStorage storage self, uint256 amt) internal returns (StdStorage storage) {
        self._keys.push(bytes32(amt));
        return self;
    }

    function with_key(StdStorage storage self, bytes32 key) internal returns (StdStorage storage) {
        self._keys.push(key);
        return self;
    }

    function depth(StdStorage storage self, uint256 _depth) internal returns (StdStorage storage) {
        self._depth = _depth;
        return self;
    }

    function read(StdStorage storage self) private returns (bytes memory) {
        address t = self._target;
        uint256 s = find(self);
        return abi.encode(vm.load(t, bytes32(s)));
    }

    function read_bytes32(StdStorage storage self) internal returns (bytes32) {
        return abi.decode(read(self), (bytes32));
    }

    function read_bool(StdStorage storage self) internal returns (bool) {
        int256 v = read_int(self);
        if (v == 0) return false;
        if (v == 1) return true;
        revert("stdStorage read_bool(StdStorage): Cannot decode. Make sure you are reading a bool.");
    }

    function read_address(StdStorage storage self) internal returns (address) {
        return abi.decode(read(self), (address));
    }

    function read_uint(StdStorage storage self) internal returns (uint256) {
        return abi.decode(read(self), (uint256));
    }

    function read_int(StdStorage storage self) internal returns (int256) {
        return abi.decode(read(self), (int256));
    }

    function bytesToBytes32(bytes memory b, uint256 offset) private pure returns (bytes32) {
        bytes32 out;

        uint256 max = b.length > 32 ? 32 : b.length;
        for (uint256 i = 0; i < max; i++) {
            out |= bytes32(b[offset + i] & 0xFF) >> (i * 8);
        }
        return out;
    }

    function flatten(bytes32[] memory b) private pure returns (bytes memory) {
        bytes memory result = new bytes(b.length * 32);
        for (uint256 i = 0; i < b.length; i++) {
            bytes32 k = b[i];
            /// @solidity memory-safe-assembly
            assembly {
                mstore(add(result, add(32, mul(32, i))), k)
            }
        }

        return result;
    }
}

library stdStorage {
    Vm private constant vm = Vm(address(uint160(uint256(keccak256("hevm cheat code")))));

    function sigs(string memory sigStr) internal pure returns (bytes4) {
        return stdStorageSafe.sigs(sigStr);
    }

    function find(StdStorage storage self) internal returns (uint256) {
        return stdStorageSafe.find(self);
    }

    function target(StdStorage storage self, address _target) internal returns (StdStorage storage) {
        return stdStorageSafe.target(self, _target);
    }

    function sig(StdStorage storage self, bytes4 _sig) internal returns (StdStorage storage) {
        return stdStorageSafe.sig(self, _sig);
    }

    function sig(StdStorage storage self, string memory _sig) internal returns (StdStorage storage) {
        return stdStorageSafe.sig(self, _sig);
    }

    function with_key(StdStorage storage self, address who) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, who);
    }

    function with_key(StdStorage storage self, uint256 amt) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, amt);
    }

    function with_key(StdStorage storage self, bytes32 key) internal returns (StdStorage storage) {
        return stdStorageSafe.with_key(self, key);
    }

    function depth(StdStorage storage self, uint256 _depth) internal returns (StdStorage storage) {
        return stdStorageSafe.depth(self, _depth);
    }

    function checked_write(StdStorage storage self, address who) internal {
        checked_write(self, bytes32(uint256(uint160(who))));
    }

    function checked_write(StdStorage storage self, uint256 amt) internal {
        checked_write(self, bytes32(amt));
    }

    function checked_write(StdStorage storage self, bool write) internal {
        bytes32 t;
        /// @solidity memory-safe-assembly
        assembly {
            t := write
        }
        checked_write(self, t);
    }

    function checked_write(StdStorage storage self, bytes32 set) internal {
        address who = self._target;
        bytes4 fsig = self._sig;
        uint256 field_depth = self._depth;
        bytes32[] memory ins = self._keys;

        bytes memory cald = abi.encodePacked(fsig, flatten(ins));
        if (!self.finds[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]) {
            find(self);
        }
        bytes32 slot = bytes32(self.slots[who][fsig][keccak256(abi.encodePacked(ins, field_depth))]);

        bytes32 fdat;
        {
            (, bytes memory rdat) = who.staticcall(cald);
            fdat = bytesToBytes32(rdat, 32 * field_depth);
        }
        bytes32 curr = vm.load(who, slot);

        if (fdat != curr) {
            require(
                false,
                "stdStorage find(StdStorage): Packed slot. This would cause dangerous overwriting and currently isn't supported."
            );
        }
        vm.store(who, slot, set);
        delete self._target;
        delete self._sig;
        delete self._keys;
        delete self._depth;
    }

    function read_bytes32(StdStorage storage self) internal returns (bytes32) {
        return stdStorageSafe.read_bytes32(self);
    }

    function read_bool(StdStorage storage self) internal returns (bool) {
        return stdStorageSafe.read_bool(self);
    }

    function read_address(StdStorage storage self) internal returns (address) {
        return stdStorageSafe.read_address(self);
    }

    function read_uint(StdStorage storage self) internal returns (uint256) {
        return stdStorageSafe.read_uint(self);
    }

    function read_int(StdStorage storage self) internal returns (int256) {
        return stdStorageSafe.read_int(self);
    }

    // Private function so needs to be copied over
    function bytesToBytes32(bytes memory b, uint256 offset) private pure returns (bytes32) {
        bytes32 out;

        uint256 max = b.length > 32 ? 32 : b.length;
        for (uint256 i = 0; i < max; i++) {
            out |= bytes32(b[offset + i] & 0xFF) >> (i * 8);
        }
        return out;
    }

    // Private function so needs to be copied over
    function flatten(bytes32[] memory b) private pure returns (bytes memory) {
        bytes memory result = new bytes(b.length * 32);
        for (uint256 i = 0; i < b.length; i++) {
            bytes32 k = b[i];
            /// @solidity memory-safe-assembly
            assembly {
                mstore(add(result, add(32, mul(32, i))), k)
            }
        }

        return result;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

import {IMulticall3} from "./interfaces/IMulticall3.sol";
// TODO Remove import.
import {VmSafe} from "./Vm.sol";

abstract contract StdUtils {
    /*//////////////////////////////////////////////////////////////////////////
                                     CONSTANTS
    //////////////////////////////////////////////////////////////////////////*/

    IMulticall3 private constant multicall = IMulticall3(0xcA11bde05977b3631167028862bE2a173976CA11);
    VmSafe private constant vm = VmSafe(address(uint160(uint256(keccak256("hevm cheat code")))));
    address private constant CONSOLE2_ADDRESS = 0x000000000000000000636F6e736F6c652e6c6f67;
    uint256 private constant INT256_MIN_ABS =
        57896044618658097711785492504343953926634992332820282019728792003956564819968;
    uint256 private constant UINT256_MAX =
        115792089237316195423570985008687907853269984665640564039457584007913129639935;

    // Used by default when deploying with create2, https://github.com/Arachnid/deterministic-deployment-proxy.
    address private constant CREATE2_FACTORY = 0x4e59b44847b379578588920cA78FbF26c0B4956C;

    /*//////////////////////////////////////////////////////////////////////////
                                 INTERNAL FUNCTIONS
    //////////////////////////////////////////////////////////////////////////*/

    function _bound(uint256 x, uint256 min, uint256 max) internal pure virtual returns (uint256 result) {
        require(min <= max, "StdUtils bound(uint256,uint256,uint256): Max is less than min.");
        // If x is between min and max, return x directly. This is to ensure that dictionary values
        // do not get shifted if the min is nonzero. More info: https://github.com/foundry-rs/forge-std/issues/188
        if (x >= min && x <= max) return x;

        uint256 size = max - min + 1;

        // If the value is 0, 1, 2, 3, warp that to min, min+1, min+2, min+3. Similarly for the UINT256_MAX side.
        // This helps ensure coverage of the min/max values.
        if (x <= 3 && size > x) return min + x;
        if (x >= UINT256_MAX - 3 && size > UINT256_MAX - x) return max - (UINT256_MAX - x);

        // Otherwise, wrap x into the range [min, max], i.e. the range is inclusive.
        if (x > max) {
            uint256 diff = x - max;
            uint256 rem = diff % size;
            if (rem == 0) return max;
            result = min + rem - 1;
        } else if (x < min) {
            uint256 diff = min - x;
            uint256 rem = diff % size;
            if (rem == 0) return min;
            result = max - rem + 1;
        }
    }

    function bound(uint256 x, uint256 min, uint256 max) internal view virtual returns (uint256 result) {
        result = _bound(x, min, max);
        console2_log("Bound Result", result);
    }

    function bound(int256 x, int256 min, int256 max) internal view virtual returns (int256 result) {
        require(min <= max, "StdUtils bound(int256,int256,int256): Max is less than min.");

        // Shifting all int256 values to uint256 to use _bound function. The range of two types are:
        // int256 : -(2**255) ~ (2**255 - 1)
        // uint256:     0     ~ (2**256 - 1)
        // So, add 2**255, INT256_MIN_ABS to the integer values.
        //
        // If the given integer value is -2**255, we cannot use `-uint256(-x)` because of the overflow.
        // So, use `~uint256(x) + 1` instead.
        uint256 _x = x < 0 ? (INT256_MIN_ABS - ~uint256(x) - 1) : (uint256(x) + INT256_MIN_ABS);
        uint256 _min = min < 0 ? (INT256_MIN_ABS - ~uint256(min) - 1) : (uint256(min) + INT256_MIN_ABS);
        uint256 _max = max < 0 ? (INT256_MIN_ABS - ~uint256(max) - 1) : (uint256(max) + INT256_MIN_ABS);

        uint256 y = _bound(_x, _min, _max);

        // To move it back to int256 value, subtract INT256_MIN_ABS at here.
        result = y < INT256_MIN_ABS ? int256(~(INT256_MIN_ABS - y) + 1) : int256(y - INT256_MIN_ABS);
        console2_log("Bound result", vm.toString(result));
    }

    function bytesToUint(bytes memory b) internal pure virtual returns (uint256) {
        require(b.length <= 32, "StdUtils bytesToUint(bytes): Bytes length exceeds 32.");
        return abi.decode(abi.encodePacked(new bytes(32 - b.length), b), (uint256));
    }

    /// @dev Compute the address a contract will be deployed at for a given deployer address and nonce
    /// @notice adapted from Solmate implementation (https://github.com/Rari-Capital/solmate/blob/main/src/utils/LibRLP.sol)
    function computeCreateAddress(address deployer, uint256 nonce) internal pure virtual returns (address) {
        // forgefmt: disable-start
        // The integer zero is treated as an empty byte string, and as a result it only has a length prefix, 0x80, computed via 0x80 + 0.
        // A one byte integer uses its own value as its length prefix, there is no additional "0x80 + length" prefix that comes before it.
        if (nonce == 0x00)      return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd6), bytes1(0x94), deployer, bytes1(0x80))));
        if (nonce <= 0x7f)      return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd6), bytes1(0x94), deployer, uint8(nonce))));

        // Nonces greater than 1 byte all follow a consistent encoding scheme, where each value is preceded by a prefix of 0x80 + length.
        if (nonce <= 2**8 - 1)  return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd7), bytes1(0x94), deployer, bytes1(0x81), uint8(nonce))));
        if (nonce <= 2**16 - 1) return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd8), bytes1(0x94), deployer, bytes1(0x82), uint16(nonce))));
        if (nonce <= 2**24 - 1) return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xd9), bytes1(0x94), deployer, bytes1(0x83), uint24(nonce))));
        // forgefmt: disable-end

        // More details about RLP encoding can be found here: https://eth.wiki/fundamentals/rlp
        // 0xda = 0xc0 (short RLP prefix) + 0x16 (length of: 0x94 ++ proxy ++ 0x84 ++ nonce)
        // 0x94 = 0x80 + 0x14 (0x14 = the length of an address, 20 bytes, in hex)
        // 0x84 = 0x80 + 0x04 (0x04 = the bytes length of the nonce, 4 bytes, in hex)
        // We assume nobody can have a nonce large enough to require more than 32 bytes.
        return addressFromLast20Bytes(
            keccak256(abi.encodePacked(bytes1(0xda), bytes1(0x94), deployer, bytes1(0x84), uint32(nonce)))
        );
    }

    function computeCreate2Address(bytes32 salt, bytes32 initcodeHash, address deployer)
        internal
        pure
        virtual
        returns (address)
    {
        return addressFromLast20Bytes(keccak256(abi.encodePacked(bytes1(0xff), deployer, salt, initcodeHash)));
    }

    /// @dev returns the address of a contract created with CREATE2 using the default CREATE2 deployer
    function computeCreate2Address(bytes32 salt, bytes32 initCodeHash) internal pure returns (address) {
        return computeCreate2Address(salt, initCodeHash, CREATE2_FACTORY);
    }

    /// @dev returns the hash of the init code (creation code + no args) used in CREATE2 with no constructor arguments
    /// @param creationCode the creation code of a contract C, as returned by type(C).creationCode
    function hashInitCode(bytes memory creationCode) internal pure returns (bytes32) {
        return hashInitCode(creationCode, "");
    }

    /// @dev returns the hash of the init code (creation code + ABI-encoded args) used in CREATE2
    /// @param creationCode the creation code of a contract C, as returned by type(C).creationCode
    /// @param args the ABI-encoded arguments to the constructor of C
    function hashInitCode(bytes memory creationCode, bytes memory args) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked(creationCode, args));
    }

    // Performs a single call with Multicall3 to query the ERC-20 token balances of the given addresses.
    function getTokenBalances(address token, address[] memory addresses)
        internal
        virtual
        returns (uint256[] memory balances)
    {
        uint256 tokenCodeSize;
        assembly {
            tokenCodeSize := extcodesize(token)
        }
        require(tokenCodeSize > 0, "StdUtils getTokenBalances(address,address[]): Token address is not a contract.");

        // ABI encode the aggregate call to Multicall3.
        uint256 length = addresses.length;
        IMulticall3.Call[] memory calls = new IMulticall3.Call[](length);
        for (uint256 i = 0; i < length; ++i) {
            // 0x70a08231 = bytes4("balanceOf(address)"))
            calls[i] = IMulticall3.Call({target: token, callData: abi.encodeWithSelector(0x70a08231, (addresses[i]))});
        }

        // Make the aggregate call.
        (, bytes[] memory returnData) = multicall.aggregate(calls);

        // ABI decode the return data and return the balances.
        balances = new uint256[](length);
        for (uint256 i = 0; i < length; ++i) {
            balances[i] = abi.decode(returnData[i], (uint256));
        }
    }

    /*//////////////////////////////////////////////////////////////////////////
                                 PRIVATE FUNCTIONS
    //////////////////////////////////////////////////////////////////////////*/

    function addressFromLast20Bytes(bytes32 bytesValue) private pure returns (address) {
        return address(uint160(uint256(bytesValue)));
    }

    // Used to prevent the compilation of console, which shortens the compilation time when console is not used elsewhere.

    function console2_log(string memory p0, uint256 p1) private view {
        (bool status,) = address(CONSOLE2_ADDRESS).staticcall(abi.encodeWithSignature("log(string,uint256)", p0, p1));
        status;
    }

    function console2_log(string memory p0, string memory p1) private view {
        (bool status,) = address(CONSOLE2_ADDRESS).staticcall(abi.encodeWithSignature("log(string,string)", p0, p1));
        status;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

// 💬 ABOUT
// Standard Library's default Test

// 🧩 MODULES
import {console} from "./console.sol";
import {console2} from "./console2.sol";
import {StdAssertions} from "./StdAssertions.sol";
import {StdChains} from "./StdChains.sol";
import {StdCheats} from "./StdCheats.sol";
import {stdError} from "./StdError.sol";
import {StdInvariant} from "./StdInvariant.sol";
import {stdJson} from "./StdJson.sol";
import {stdMath} from "./StdMath.sol";
import {StdStorage, stdStorage} from "./StdStorage.sol";
import {StdUtils} from "./StdUtils.sol";
import {Vm} from "./Vm.sol";

// 📦 BOILERPLATE
import {TestBase} from "./Base.sol";
import {DSTest} from "ds-test/test.sol";

// ⭐️ TEST
abstract contract Test is DSTest, StdAssertions, StdChains, StdCheats, StdInvariant, StdUtils, TestBase {
// Note: IS_TEST() must return true.
// Note: Must have failure system, https://github.com/dapphub/ds-test/blob/cd98eff28324bfac652e63a239a60632a761790b/src/test.sol#L39-L76.
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

// Cheatcodes are marked as view/pure/none using the following rules:
// 0. A call's observable behaviour includes its return value, logs, reverts and state writes,
// 1. If you can influence a later call's observable behaviour, you're neither `view` nor `pure (you are modifying some state be it the EVM, interpreter, filesystem, etc),
// 2. Otherwise if you can be influenced by an earlier call, or if reading some state, you're `view`,
// 3. Otherwise you're `pure`.

interface VmSafe {
    struct Log {
        bytes32[] topics;
        bytes data;
        address emitter;
    }

    struct Rpc {
        string key;
        string url;
    }

    struct FsMetadata {
        bool isDir;
        bool isSymlink;
        uint256 length;
        bool readOnly;
        uint256 modified;
        uint256 accessed;
        uint256 created;
    }

    // Loads a storage slot from an address
    function load(address target, bytes32 slot) external view returns (bytes32 data);
    // Signs data
    function sign(uint256 privateKey, bytes32 digest) external pure returns (uint8 v, bytes32 r, bytes32 s);
    // Gets the address for a given private key
    function addr(uint256 privateKey) external pure returns (address keyAddr);
    // Gets the nonce of an account
    function getNonce(address account) external view returns (uint64 nonce);
    // Performs a foreign function call via the terminal
    function ffi(string[] calldata commandInput) external returns (bytes memory result);
    // Sets environment variables
    function setEnv(string calldata name, string calldata value) external;
    // Reads environment variables, (name) => (value)
    function envBool(string calldata name) external view returns (bool value);
    function envUint(string calldata name) external view returns (uint256 value);
    function envInt(string calldata name) external view returns (int256 value);
    function envAddress(string calldata name) external view returns (address value);
    function envBytes32(string calldata name) external view returns (bytes32 value);
    function envString(string calldata name) external view returns (string memory value);
    function envBytes(string calldata name) external view returns (bytes memory value);
    // Reads environment variables as arrays
    function envBool(string calldata name, string calldata delim) external view returns (bool[] memory value);
    function envUint(string calldata name, string calldata delim) external view returns (uint256[] memory value);
    function envInt(string calldata name, string calldata delim) external view returns (int256[] memory value);
    function envAddress(string calldata name, string calldata delim) external view returns (address[] memory value);
    function envBytes32(string calldata name, string calldata delim) external view returns (bytes32[] memory value);
    function envString(string calldata name, string calldata delim) external view returns (string[] memory value);
    function envBytes(string calldata name, string calldata delim) external view returns (bytes[] memory value);
    // Read environment variables with default value
    function envOr(string calldata name, bool defaultValue) external returns (bool value);
    function envOr(string calldata name, uint256 defaultValue) external returns (uint256 value);
    function envOr(string calldata name, int256 defaultValue) external returns (int256 value);
    function envOr(string calldata name, address defaultValue) external returns (address value);
    function envOr(string calldata name, bytes32 defaultValue) external returns (bytes32 value);
    function envOr(string calldata name, string calldata defaultValue) external returns (string memory value);
    function envOr(string calldata name, bytes calldata defaultValue) external returns (bytes memory value);
    // Read environment variables as arrays with default value
    function envOr(string calldata name, string calldata delim, bool[] calldata defaultValue)
        external
        returns (bool[] memory value);
    function envOr(string calldata name, string calldata delim, uint256[] calldata defaultValue)
        external
        returns (uint256[] memory value);
    function envOr(string calldata name, string calldata delim, int256[] calldata defaultValue)
        external
        returns (int256[] memory value);
    function envOr(string calldata name, string calldata delim, address[] calldata defaultValue)
        external
        returns (address[] memory value);
    function envOr(string calldata name, string calldata delim, bytes32[] calldata defaultValue)
        external
        returns (bytes32[] memory value);
    function envOr(string calldata name, string calldata delim, string[] calldata defaultValue)
        external
        returns (string[] memory value);
    function envOr(string calldata name, string calldata delim, bytes[] calldata defaultValue)
        external
        returns (bytes[] memory value);
    // Records all storage reads and writes
    function record() external;
    // Gets all accessed reads and write slot from a recording session, for a given address
    function accesses(address target) external returns (bytes32[] memory readSlots, bytes32[] memory writeSlots);
    // Gets the _creation_ bytecode from an artifact file. Takes in the relative path to the json file
    function getCode(string calldata artifactPath) external view returns (bytes memory creationBytecode);
    // Gets the _deployed_ bytecode from an artifact file. Takes in the relative path to the json file
    function getDeployedCode(string calldata artifactPath) external view returns (bytes memory runtimeBytecode);
    // Labels an address in call traces
    function label(address account, string calldata newLabel) external;
    // Using the address that calls the test contract, has the next call (at this call depth only) create a transaction that can later be signed and sent onchain
    function broadcast() external;
    // Has the next call (at this call depth only) create a transaction with the address provided as the sender that can later be signed and sent onchain
    function broadcast(address signer) external;
    // Has the next call (at this call depth only) create a transaction with the private key provided as the sender that can later be signed and sent onchain
    function broadcast(uint256 privateKey) external;
    // Using the address that calls the test contract, has all subsequent calls (at this call depth only) create transactions that can later be signed and sent onchain
    function startBroadcast() external;
    // Has all subsequent calls (at this call depth only) create transactions with the address provided that can later be signed and sent onchain
    function startBroadcast(address signer) external;
    // Has all subsequent calls (at this call depth only) create transactions with the private key provided that can later be signed and sent onchain
    function startBroadcast(uint256 privateKey) external;
    // Stops collecting onchain transactions
    function stopBroadcast() external;
    // Reads the entire content of file to string
    function readFile(string calldata path) external view returns (string memory data);
    // Reads the entire content of file as binary. Path is relative to the project root.
    function readFileBinary(string calldata path) external view returns (bytes memory data);
    // Get the path of the current project root
    function projectRoot() external view returns (string memory path);
    // Get the metadata for a file/directory
    function fsMetadata(string calldata fileOrDir) external returns (FsMetadata memory metadata);
    // Reads next line of file to string
    function readLine(string calldata path) external view returns (string memory line);
    // Writes data to file, creating a file if it does not exist, and entirely replacing its contents if it does.
    function writeFile(string calldata path, string calldata data) external;
    // Writes binary data to a file, creating a file if it does not exist, and entirely replacing its contents if it does.
    // Path is relative to the project root.
    function writeFileBinary(string calldata path, bytes calldata data) external;
    // Writes line to file, creating a file if it does not exist.
    function writeLine(string calldata path, string calldata data) external;
    // Closes file for reading, resetting the offset and allowing to read it from beginning with readLine.
    function closeFile(string calldata path) external;
    // Removes file. This cheatcode will revert in the following situations, but is not limited to just these cases:
    // - Path points to a directory.
    // - The file doesn't exist.
    // - The user lacks permissions to remove the file.
    function removeFile(string calldata path) external;
    // Convert values to a string
    function toString(address value) external pure returns (string memory stringifiedValue);
    function toString(bytes calldata value) external pure returns (string memory stringifiedValue);
    function toString(bytes32 value) external pure returns (string memory stringifiedValue);
    function toString(bool value) external pure returns (string memory stringifiedValue);
    function toString(uint256 value) external pure returns (string memory stringifiedValue);
    function toString(int256 value) external pure returns (string memory stringifiedValue);
    // Convert values from a string
    function parseBytes(string calldata stringifiedValue) external pure returns (bytes memory parsedValue);
    function parseAddress(string calldata stringifiedValue) external pure returns (address parsedValue);
    function parseUint(string calldata stringifiedValue) external pure returns (uint256 parsedValue);
    function parseInt(string calldata stringifiedValue) external pure returns (int256 parsedValue);
    function parseBytes32(string calldata stringifiedValue) external pure returns (bytes32 parsedValue);
    function parseBool(string calldata stringifiedValue) external pure returns (bool parsedValue);
    // Record all the transaction logs
    function recordLogs() external;
    // Gets all the recorded logs
    function getRecordedLogs() external returns (Log[] memory logs);
    // Derive a private key from a provided mnenomic string (or mnenomic file path) at the derivation path m/44'/60'/0'/0/{index}
    function deriveKey(string calldata mnemonic, uint32 index) external pure returns (uint256 privateKey);
    // Derive a private key from a provided mnenomic string (or mnenomic file path) at {derivationPath}{index}
    function deriveKey(string calldata mnemonic, string calldata derivationPath, uint32 index)
        external
        pure
        returns (uint256 privateKey);
    // Adds a private key to the local forge wallet and returns the address
    function rememberKey(uint256 privateKey) external returns (address keyAddr);
    //
    // parseJson
    //
    // ----
    // In case the returned value is a JSON object, it's encoded as a ABI-encoded tuple. As JSON objects
    // don't have the notion of ordered, but tuples do, they JSON object is encoded with it's fields ordered in
    // ALPHABETICAL order. That means that in order to successfully decode the tuple, we need to define a tuple that
    // encodes the fields in the same order, which is alphabetical. In the case of Solidity structs, they are encoded
    // as tuples, with the attributes in the order in which they are defined.
    // For example: json = { 'a': 1, 'b': 0xa4tb......3xs}
    // a: uint256
    // b: address
    // To decode that json, we need to define a struct or a tuple as follows:
    // struct json = { uint256 a; address b; }
    // If we defined a json struct with the opposite order, meaning placing the address b first, it would try to
    // decode the tuple in that order, and thus fail.
    // ----
    // Given a string of JSON, return it as ABI-encoded
    function parseJson(string calldata json, string calldata key) external pure returns (bytes memory abiEncodedData);
    function parseJson(string calldata json) external pure returns (bytes memory abiEncodedData);

    // The following parseJson cheatcodes will do type coercion, for the type that they indicate.
    // For example, parseJsonUint will coerce all values to a uint256. That includes stringified numbers '12'
    // and hex numbers '0xEF'.
    // Type coercion works ONLY for discrete values or arrays. That means that the key must return a value or array, not
    // a JSON object.
    function parseJsonUint(string calldata, string calldata) external returns (uint256);
    function parseJsonUintArray(string calldata, string calldata) external returns (uint256[] memory);
    function parseJsonInt(string calldata, string calldata) external returns (int256);
    function parseJsonIntArray(string calldata, string calldata) external returns (int256[] memory);
    function parseJsonBool(string calldata, string calldata) external returns (bool);
    function parseJsonBoolArray(string calldata, string calldata) external returns (bool[] memory);
    function parseJsonAddress(string calldata, string calldata) external returns (address);
    function parseJsonAddressArray(string calldata, string calldata) external returns (address[] memory);
    function parseJsonString(string calldata, string calldata) external returns (string memory);
    function parseJsonStringArray(string calldata, string calldata) external returns (string[] memory);
    function parseJsonBytes(string calldata, string calldata) external returns (bytes memory);
    function parseJsonBytesArray(string calldata, string calldata) external returns (bytes[] memory);
    function parseJsonBytes32(string calldata, string calldata) external returns (bytes32);
    function parseJsonBytes32Array(string calldata, string calldata) external returns (bytes32[] memory);

    // Serialize a key and value to a JSON object stored in-memory that can be later written to a file
    // It returns the stringified version of the specific JSON file up to that moment.
    function serializeBool(string calldata objectKey, string calldata valueKey, bool value)
        external
        returns (string memory json);
    function serializeUint(string calldata objectKey, string calldata valueKey, uint256 value)
        external
        returns (string memory json);
    function serializeInt(string calldata objectKey, string calldata valueKey, int256 value)
        external
        returns (string memory json);
    function serializeAddress(string calldata objectKey, string calldata valueKey, address value)
        external
        returns (string memory json);
    function serializeBytes32(string calldata objectKey, string calldata valueKey, bytes32 value)
        external
        returns (string memory json);
    function serializeString(string calldata objectKey, string calldata valueKey, string calldata value)
        external
        returns (string memory json);
    function serializeBytes(string calldata objectKey, string calldata valueKey, bytes calldata value)
        external
        returns (string memory json);

    function serializeBool(string calldata objectKey, string calldata valueKey, bool[] calldata values)
        external
        returns (string memory json);
    function serializeUint(string calldata objectKey, string calldata valueKey, uint256[] calldata values)
        external
        returns (string memory json);
    function serializeInt(string calldata objectKey, string calldata valueKey, int256[] calldata values)
        external
        returns (string memory json);
    function serializeAddress(string calldata objectKey, string calldata valueKey, address[] calldata values)
        external
        returns (string memory json);
    function serializeBytes32(string calldata objectKey, string calldata valueKey, bytes32[] calldata values)
        external
        returns (string memory json);
    function serializeString(string calldata objectKey, string calldata valueKey, string[] calldata values)
        external
        returns (string memory json);
    function serializeBytes(string calldata objectKey, string calldata valueKey, bytes[] calldata values)
        external
        returns (string memory json);

    //
    // writeJson
    //
    // ----
    // Write a serialized JSON object to a file. If the file exists, it will be overwritten.
    // Let's assume we want to write the following JSON to a file:
    //
    // { "boolean": true, "number": 342, "object": { "title": "finally json serialization" } }
    //
    // ```
    //  string memory json1 = "some key";
    //  vm.serializeBool(json1, "boolean", true);
    //  vm.serializeBool(json1, "number", uint256(342));
    //  json2 = "some other key";
    //  string memory output = vm.serializeString(json2, "title", "finally json serialization");
    //  string memory finalJson = vm.serialize(json1, "object", output);
    //  vm.writeJson(finalJson, "./output/example.json");
    // ```
    // The critical insight is that every invocation of serialization will return the stringified version of the JSON
    // up to that point. That means we can construct arbitrary JSON objects and then use the return stringified version
    // to serialize them as values to another JSON object.
    //
    // json1 and json2 are simply keys used by the backend to keep track of the objects. So vm.serializeJson(json1,..)
    // will find the object in-memory that is keyed by "some key".
    function writeJson(string calldata json, string calldata path) external;
    // Write a serialized JSON object to an **existing** JSON file, replacing a value with key = <value_key>
    // This is useful to replace a specific value of a JSON file, without having to parse the entire thing
    function writeJson(string calldata json, string calldata path, string calldata valueKey) external;
    // Returns the RPC url for the given alias
    function rpcUrl(string calldata rpcAlias) external view returns (string memory json);
    // Returns all rpc urls and their aliases `[alias, url][]`
    function rpcUrls() external view returns (string[2][] memory urls);
    // Returns all rpc urls and their aliases as structs.
    function rpcUrlStructs() external view returns (Rpc[] memory urls);
    // If the condition is false, discard this run's fuzz inputs and generate new ones.
    function assume(bool condition) external pure;
    // Pauses gas metering (i.e. gas usage is not counted). Noop if already paused.
    function pauseGasMetering() external;
    // Resumes gas metering (i.e. gas usage is counted again). Noop if already on.
    function resumeGasMetering() external;
}

interface Vm is VmSafe {
    // Sets block.timestamp
    function warp(uint256 newTimestamp) external;
    // Sets block.height
    function roll(uint256 newHeight) external;
    // Sets block.basefee
    function fee(uint256 newBasefee) external;
    // Sets block.difficulty
    function difficulty(uint256 newDifficulty) external;
    // Sets block.chainid
    function chainId(uint256 newChainId) external;
    // Stores a value to an address' storage slot.
    function store(address target, bytes32 slot, bytes32 value) external;
    // Sets the nonce of an account; must be higher than the current nonce of the account
    function setNonce(address account, uint64 newNonce) external;
    // Sets the *next* call's msg.sender to be the input address
    function prank(address msgSender) external;
    // Sets all subsequent calls' msg.sender to be the input address until `stopPrank` is called
    function startPrank(address msgSender) external;
    // Sets the *next* call's msg.sender to be the input address, and the tx.origin to be the second input
    function prank(address msgSender, address txOrigin) external;
    // Sets all subsequent calls' msg.sender to be the input address until `stopPrank` is called, and the tx.origin to be the second input
    function startPrank(address msgSender, address txOrigin) external;
    // Resets subsequent calls' msg.sender to be `address(this)`
    function stopPrank() external;
    // Sets an address' balance
    function deal(address account, uint256 newBalance) external;
    // Sets an address' code
    function etch(address target, bytes calldata newRuntimeBytecode) external;
    // Expects an error on next call
    function expectRevert(bytes calldata revertData) external;
    function expectRevert(bytes4 revertData) external;
    function expectRevert() external;
    // Prepare an expected log with (bool checkTopic1, bool checkTopic2, bool checkTopic3, bool checkData).
    // Call this function, then emit an event, then call a function. Internally after the call, we check if
    // logs were emitted in the expected order with the expected topics and data (as specified by the booleans)
    function expectEmit(bool checkTopic1, bool checkTopic2, bool checkTopic3, bool checkData) external;
    function expectEmit(bool checkTopic1, bool checkTopic2, bool checkTopic3, bool checkData, address emitter)
        external;
    // Mocks a call to an address, returning specified data.
    // Calldata can either be strict or a partial match, e.g. if you only
    // pass a Solidity selector to the expected calldata, then the entire Solidity
    // function will be mocked.
    function mockCall(address callee, bytes calldata data, bytes calldata returnData) external;
    // Mocks a call to an address with a specific msg.value, returning specified data.
    // Calldata match takes precedence over msg.value in case of ambiguity.
    function mockCall(address callee, uint256 msgValue, bytes calldata data, bytes calldata returnData) external;
    // Clears all mocked calls
    function clearMockedCalls() external;
    // Expects a call to an address with the specified calldata.
    // Calldata can either be a strict or a partial match
    function expectCall(address callee, bytes calldata data) external;
    // Expects a call to an address with the specified msg.value and calldata
    function expectCall(address callee, uint256 msgValue, bytes calldata data) external;
    // Sets block.coinbase
    function coinbase(address newCoinbase) external;
    // Snapshot the current state of the evm.
    // Returns the id of the snapshot that was created.
    // To revert a snapshot use `revertTo`
    function snapshot() external returns (uint256 snapshotId);
    // Revert the state of the EVM to a previous snapshot
    // Takes the snapshot id to revert to.
    // This deletes the snapshot and all snapshots taken after the given snapshot id.
    function revertTo(uint256 snapshotId) external returns (bool success);
    // Creates a new fork with the given endpoint and block and returns the identifier of the fork
    function createFork(string calldata urlOrAlias, uint256 blockNumber) external returns (uint256 forkId);
    // Creates a new fork with the given endpoint and the _latest_ block and returns the identifier of the fork
    function createFork(string calldata urlOrAlias) external returns (uint256 forkId);
    // Creates a new fork with the given endpoint and at the block the given transaction was mined in, replays all transaction mined in the block before the transaction,
    // and returns the identifier of the fork
    function createFork(string calldata urlOrAlias, bytes32 txHash) external returns (uint256 forkId);
    // Creates _and_ also selects a new fork with the given endpoint and block and returns the identifier of the fork
    function createSelectFork(string calldata urlOrAlias, uint256 blockNumber) external returns (uint256 forkId);
    // Creates _and_ also selects new fork with the given endpoint and at the block the given transaction was mined in, replays all transaction mined in the block before
    // the transaction, returns the identifier of the fork
    function createSelectFork(string calldata urlOrAlias, bytes32 txHash) external returns (uint256 forkId);
    // Creates _and_ also selects a new fork with the given endpoint and the latest block and returns the identifier of the fork
    function createSelectFork(string calldata urlOrAlias) external returns (uint256 forkId);
    // Takes a fork identifier created by `createFork` and sets the corresponding forked state as active.
    function selectFork(uint256 forkId) external;
    /// Returns the identifier of the currently active fork. Reverts if no fork is currently active.
    function activeFork() external view returns (uint256 forkId);
    // Updates the currently active fork to given block number
    // This is similar to `roll` but for the currently active fork
    function rollFork(uint256 blockNumber) external;
    // Updates the currently active fork to given transaction
    // this will `rollFork` with the number of the block the transaction was mined in and replays all transaction mined before it in the block
    function rollFork(bytes32 txHash) external;
    // Updates the given fork to given block number
    function rollFork(uint256 forkId, uint256 blockNumber) external;
    // Updates the given fork to block number of the given transaction and replays all transaction mined before it in the block
    function rollFork(uint256 forkId, bytes32 txHash) external;
    // Marks that the account(s) should use persistent storage across fork swaps in a multifork setup
    // Meaning, changes made to the state of this account will be kept when switching forks
    function makePersistent(address account) external;
    function makePersistent(address account0, address account1) external;
    function makePersistent(address account0, address account1, address account2) external;
    function makePersistent(address[] calldata accounts) external;
    // Revokes persistent status from the address, previously added via `makePersistent`
    function revokePersistent(address account) external;
    function revokePersistent(address[] calldata accounts) external;
    // Returns true if the account is marked as persistent
    function isPersistent(address account) external view returns (bool persistent);
    // In forking mode, explicitly grant the given address cheatcode access
    function allowCheatcodes(address account) external;
    // Fetches the given transaction from the active fork and executes it on the current state
    function transact(bytes32 txHash) external;
    // Fetches the given transaction from the given fork and executes it on the current state
    function transact(uint256 forkId, bytes32 txHash) external;
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

library console {
    address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

    function _sendLogPayload(bytes memory payload) private view {
        uint256 payloadLength = payload.length;
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            let payloadStart := add(payload, 32)
            let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
        }
    }

    function log() internal view {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }

    function logInt(int p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int)", p0));
    }

    function logUint(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function logString(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
    }

    function log(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint)", p0, p1));
    }

    function log(uint p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string)", p0, p1));
    }

    function log(uint p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool)", p0, p1));
    }

    function log(uint p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address)", p0, p1));
    }

    function log(string memory p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint)", p0, p1));
    }

    function log(bool p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint)", p0, p1));
    }

    function log(address p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
    }

    function log(uint p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
    }

    function log(uint p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
    }

    function log(uint p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
    }

    function log(uint p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
    }

    function log(uint p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
    }

    function log(uint p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
    }

    function log(uint p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
    }

    function log(uint p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
    }

    function log(uint p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
    }

    function log(uint p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
    }

    function log(uint p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
    }

    function log(uint p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
    }

    function log(bool p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
    }

    function log(bool p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
    }

    function log(bool p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
    }

    function log(address p0, uint p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
    }

    function log(address p0, uint p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
    }

    function log(address p0, uint p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}

// SPDX-License-Identifier: MIT
pragma solidity >=0.4.22 <0.9.0;

/// @dev The original console.sol uses `int` and `uint` for computing function selectors, but it should
/// use `int256` and `uint256`. This modified version fixes that. This version is recommended
/// over `console.sol` if you don't need compatibility with Hardhat as the logs will show up in
/// forge stack traces. If you do need compatibility with Hardhat, you must use `console.sol`.
/// Reference: https://github.com/NomicFoundation/hardhat/issues/2178
library console2 {
    address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

    function _sendLogPayload(bytes memory payload) private view {
        uint256 payloadLength = payload.length;
        address consoleAddress = CONSOLE_ADDRESS;
        /// @solidity memory-safe-assembly
        assembly {
            let payloadStart := add(payload, 32)
            let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
        }
    }

    function log() internal view {
        _sendLogPayload(abi.encodeWithSignature("log()"));
    }

    function logInt(int256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int256)", p0));
    }

    function logUint(uint256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function logString(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function logBool(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function logAddress(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function logBytes(bytes memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
    }

    function logBytes1(bytes1 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
    }

    function logBytes2(bytes2 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
    }

    function logBytes3(bytes3 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
    }

    function logBytes4(bytes4 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
    }

    function logBytes5(bytes5 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
    }

    function logBytes6(bytes6 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
    }

    function logBytes7(bytes7 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
    }

    function logBytes8(bytes8 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
    }

    function logBytes9(bytes9 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
    }

    function logBytes10(bytes10 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
    }

    function logBytes11(bytes11 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
    }

    function logBytes12(bytes12 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
    }

    function logBytes13(bytes13 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
    }

    function logBytes14(bytes14 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
    }

    function logBytes15(bytes15 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
    }

    function logBytes16(bytes16 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
    }

    function logBytes17(bytes17 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
    }

    function logBytes18(bytes18 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
    }

    function logBytes19(bytes19 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
    }

    function logBytes20(bytes20 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
    }

    function logBytes21(bytes21 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
    }

    function logBytes22(bytes22 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
    }

    function logBytes23(bytes23 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
    }

    function logBytes24(bytes24 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
    }

    function logBytes25(bytes25 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
    }

    function logBytes26(bytes26 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
    }

    function logBytes27(bytes27 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
    }

    function logBytes28(bytes28 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
    }

    function logBytes29(bytes29 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
    }

    function logBytes30(bytes30 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
    }

    function logBytes31(bytes31 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
    }

    function logBytes32(bytes32 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
    }

    function log(uint256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256)", p0));
    }

    function log(int256 p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(int256)", p0));
    }

    function log(string memory p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string)", p0));
    }

    function log(bool p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
    }

    function log(address p0) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address)", p0));
    }

    function log(uint256 p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256)", p0, p1));
    }

    function log(uint256 p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string)", p0, p1));
    }

    function log(uint256 p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool)", p0, p1));
    }

    function log(uint256 p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address)", p0, p1));
    }

    function log(string memory p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256)", p0, p1));
    }

    function log(string memory p0, int256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,int256)", p0, p1));
    }

    function log(string memory p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
    }

    function log(string memory p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
    }

    function log(string memory p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
    }

    function log(bool p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256)", p0, p1));
    }

    function log(bool p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
    }

    function log(bool p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
    }

    function log(bool p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
    }

    function log(address p0, uint256 p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256)", p0, p1));
    }

    function log(address p0, string memory p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
    }

    function log(address p0, bool p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
    }

    function log(address p0, address p1) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
    }

    function log(uint256 p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool)", p0, p1, p2));
    }

    function log(uint256 p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool)", p0, p1, p2));
    }

    function log(uint256 p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool)", p0, p1, p2));
    }

    function log(uint256 p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool)", p0, p1, p2));
    }

    function log(string memory p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
    }

    function log(string memory p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
    }

    function log(string memory p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
    }

    function log(string memory p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256)", p0, p1, p2));
    }

    function log(string memory p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
    }

    function log(string memory p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
    }

    function log(string memory p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool)", p0, p1, p2));
    }

    function log(bool p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
    }

    function log(bool p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
    }

    function log(bool p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256)", p0, p1, p2));
    }

    function log(bool p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
    }

    function log(bool p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
    }

    function log(bool p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
    }

    function log(bool p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256)", p0, p1, p2));
    }

    function log(bool p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
    }

    function log(bool p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
    }

    function log(bool p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool)", p0, p1, p2));
    }

    function log(address p0, uint256 p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address)", p0, p1, p2));
    }

    function log(address p0, string memory p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256)", p0, p1, p2));
    }

    function log(address p0, string memory p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
    }

    function log(address p0, string memory p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
    }

    function log(address p0, string memory p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
    }

    function log(address p0, bool p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256)", p0, p1, p2));
    }

    function log(address p0, bool p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
    }

    function log(address p0, bool p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
    }

    function log(address p0, bool p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
    }

    function log(address p0, address p1, uint256 p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256)", p0, p1, p2));
    }

    function log(address p0, address p1, string memory p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
    }

    function log(address p0, address p1, bool p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
    }

    function log(address p0, address p1, address p2) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,string,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,bool,address,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,string,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,bool,address)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,string)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,bool)", p0, p1, p2, p3));
    }

    function log(uint256 p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(uint256,address,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
    }

    function log(string memory p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
    }

    function log(bool p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, uint256 p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,uint256,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, string memory p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, bool p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, uint256 p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,uint256,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, string memory p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, bool p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, uint256 p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint256)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, string memory p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, bool p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
    }

    function log(address p0, address p1, address p2, address p3) internal view {
        _sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
    }

}

// SPDX-License-Identifier: MIT
pragma solidity >=0.6.2 <0.9.0;

pragma experimental ABIEncoderV2;

interface IMulticall3 {
    struct Call {
        address target;
        bytes callData;
    }

    struct Call3 {
        address target;
        bool allowFailure;
        bytes callData;
    }

    struct Call3Value {
        address target;
        bool allowFailure;
        uint256 value;
        bytes callData;
    }

    struct Result {
        bool success;
        bytes returnData;
    }

    function aggregate(Call[] calldata calls)
        external
        payable
        returns (uint256 blockNumber, bytes[] memory returnData);

    function aggregate3(Call3[] calldata calls) external payable returns (Result[] memory returnData);

    function aggregate3Value(Call3Value[] calldata calls) external payable returns (Result[] memory returnData);

    function blockAndAggregate(Call[] calldata calls)
        external
        payable
        returns (uint256 blockNumber, bytes32 blockHash, Result[] memory returnData);

    function getBasefee() external view returns (uint256 basefee);

    function getBlockHash(uint256 blockNumber) external view returns (bytes32 blockHash);

    function getBlockNumber() external view returns (uint256 blockNumber);

    function getChainId() external view returns (uint256 chainid);

    function getCurrentBlockCoinbase() external view returns (address coinbase);

    function getCurrentBlockDifficulty() external view returns (uint256 difficulty);

    function getCurrentBlockGasLimit() external view returns (uint256 gaslimit);

    function getCurrentBlockTimestamp() external view returns (uint256 timestamp);

    function getEthBalance(address addr) external view returns (uint256 balance);

    function getLastBlockHash() external view returns (bytes32 blockHash);

    function tryAggregate(bool requireSuccess, Call[] calldata calls)
        external
        payable
        returns (Result[] memory returnData);

    function tryBlockAndAggregate(bool requireSuccess, Call[] calldata calls)
        external
        payable
        returns (uint256 blockNumber, bytes32 blockHash, Result[] memory returnData);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (access/AccessControl.sol)

pragma solidity ^0.8.0;

import "./IAccessControl.sol";
import "../utils/Context.sol";
import "../utils/Strings.sol";
import "../utils/introspection/ERC165.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```
 * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
 * ```
 *
 * Roles can be used to represent a set of permissions. To restrict access to a
 * function call, use {hasRole}:
 *
 * ```
 * function foo() public {
 *     require(hasRole(MY_ROLE, msg.sender));
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {_setRoleAdmin}.
 *
 * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it.
 */
abstract contract AccessControl is Context, IAccessControl, ERC165 {
    struct RoleData {
        mapping(address => bool) members;
        bytes32 adminRole;
    }

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with a standardized message including the required role.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IAccessControl).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @dev Revert with a standard message if `_msgSender()` is missing `role`.
     * Overriding this function changes the behavior of the {onlyRole} modifier.
     *
     * Format of the revert message is described in {_checkRole}.
     *
     * _Available since v4.6._
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Revert with a standard message if `account` is missing `role`.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        Strings.toHexString(account),
                        " is missing role ",
                        Strings.toHexString(uint256(role), 32)
                    )
                )
            );
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        require(account == _msgSender(), "AccessControl: can only renounce roles for self");

        _revokeRole(role, account);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event. Note that unlike {grantRole}, this function doesn't perform any
     * checks on the calling account.
     *
     * May emit a {RoleGranted} event.
     *
     * [WARNING]
     * ====
     * This function should only be called from the constructor when setting
     * up the initial roles for the system.
     *
     * Using this function in any other way is effectively circumventing the admin
     * system imposed by {AccessControl}.
     * ====
     *
     * NOTE: This function is deprecated in favor of {_grantRole}.
     */
    function _setupRole(bytes32 role, address account) internal virtual {
        _grantRole(role, account);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (access/AccessControlEnumerable.sol)

pragma solidity ^0.8.0;

import "./IAccessControlEnumerable.sol";
import "./AccessControl.sol";
import "../utils/structs/EnumerableSet.sol";

/**
 * @dev Extension of {AccessControl} that allows enumerating the members of each role.
 */
abstract contract AccessControlEnumerable is IAccessControlEnumerable, AccessControl {
    using EnumerableSet for EnumerableSet.AddressSet;

    mapping(bytes32 => EnumerableSet.AddressSet) private _roleMembers;

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IAccessControlEnumerable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev Returns one of the accounts that have `role`. `index` must be a
     * value between 0 and {getRoleMemberCount}, non-inclusive.
     *
     * Role bearers are not sorted in any particular way, and their ordering may
     * change at any point.
     *
     * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
     * you perform all queries on the same block. See the following
     * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
     * for more information.
     */
    function getRoleMember(bytes32 role, uint256 index) public view virtual override returns (address) {
        return _roleMembers[role].at(index);
    }

    /**
     * @dev Returns the number of accounts that have `role`. Can be used
     * together with {getRoleMember} to enumerate all bearers of a role.
     */
    function getRoleMemberCount(bytes32 role) public view virtual override returns (uint256) {
        return _roleMembers[role].length();
    }

    /**
     * @dev Overload {_grantRole} to track enumerable memberships
     */
    function _grantRole(bytes32 role, address account) internal virtual override {
        super._grantRole(role, account);
        _roleMembers[role].add(account);
    }

    /**
     * @dev Overload {_revokeRole} to track enumerable memberships
     */
    function _revokeRole(bytes32 role, address account) internal virtual override {
        super._revokeRole(role, account);
        _roleMembers[role].remove(account);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControl {
    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes32 role, address account) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControlEnumerable.sol)

pragma solidity ^0.8.0;

import "./IAccessControl.sol";

/**
 * @dev External interface of AccessControlEnumerable declared to support ERC165 detection.
 */
interface IAccessControlEnumerable is IAccessControl {
    /**
     * @dev Returns one of the accounts that have `role`. `index` must be a
     * value between 0 and {getRoleMemberCount}, non-inclusive.
     *
     * Role bearers are not sorted in any particular way, and their ordering may
     * change at any point.
     *
     * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
     * you perform all queries on the same block. See the following
     * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
     * for more information.
     */
    function getRoleMember(bytes32 role, uint256 index) external view returns (address);

    /**
     * @dev Returns the number of accounts that have `role`. Can be used
     * together with {getRoleMember} to enumerate all bearers of a role.
     */
    function getRoleMemberCount(bytes32 role) external view returns (uint256);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;

/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.

    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;
    }

    function _nonReentrantAfter() private {
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721.sol";
import "./IERC721Receiver.sol";
import "./extensions/IERC721Metadata.sol";
import "../../utils/Address.sol";
import "../../utils/Context.sol";
import "../../utils/Strings.sol";
import "../../utils/introspection/ERC165.sol";

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
contract ERC721 is Context, ERC165, IERC721, IERC721Metadata {
    using Address for address;
    using Strings for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to owner address
    mapping(uint256 => address) private _owners;

    // Mapping owner address to token count
    mapping(address => uint256) private _balances;

    // Mapping from token ID to approved address
    mapping(uint256 => address) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    /**
     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) {
        return
            interfaceId == type(IERC721).interfaceId ||
            interfaceId == type(IERC721Metadata).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: address zero is not a valid owner");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _ownerOf(tokenId);
        require(owner != address(0), "ERC721: invalid token ID");
        return owner;
    }

    /**
     * @dev See {IERC721Metadata-name}.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev See {IERC721Metadata-symbol}.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        _requireMinted(tokenId);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : "";
    }

    /**
     * @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, can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(
            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not token owner or approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        _requireMinted(tokenId);

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC721-isApprovedForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");

        _transfer(from, to, tokenId);
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) public virtual override {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");
        _safeTransfer(from, to, tokenId, data);
    }

    /**
     * @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.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @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 (`_mint`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _ownerOf(tokenId) != address(0);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        address owner = ERC721.ownerOf(tokenId);
        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal virtual {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(
        address to,
        uint256 tokenId,
        bytes memory data
    ) internal virtual {
        _mint(to, tokenId);
        require(
            _checkOnERC721Received(address(0), to, tokenId, data),
            "ERC721: transfer to non ERC721Receiver implementer"
        );
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId, 1);

        // Check that tokenId was not minted by `_beforeTokenTransfer` hook
        require(!_exists(tokenId), "ERC721: token already minted");

        unchecked {
            // Will not overflow unless all 2**256 token ids are minted to the same owner.
            // Given that tokens are minted one by one, it is impossible in practice that
            // this ever happens. Might change if we allow batch minting.
            // The ERC fails to describe this case.
            _balances[to] += 1;
        }

        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);

        _afterTokenTransfer(address(0), to, tokenId, 1);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId, 1);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721.ownerOf(tokenId);

        // Clear approvals
        delete _tokenApprovals[tokenId];

        unchecked {
            // Cannot overflow, as that would require more tokens to be burned/transferred
            // out than the owner initially received through minting and transferring in.
            _balances[owner] -= 1;
        }
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);

        _afterTokenTransfer(owner, address(0), tokenId, 1);
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(
        address from,
        address to,
        uint256 tokenId
    ) internal virtual {
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId, 1);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");

        // Clear approvals from the previous owner
        delete _tokenApprovals[tokenId];

        unchecked {
            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:
            // `from`'s balance is the number of token held, which is at least one before the current
            // transfer.
            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require
            // all 2**256 token ids to be minted, which in practice is impossible.
            _balances[from] -= 1;
            _balances[to] += 1;
        }
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId, 1);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721.ownerOf(tokenId), to, tokenId);
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(
        address owner,
        address operator,
        bool approved
    ) internal virtual {
        require(owner != operator, "ERC721: approve to caller");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` has not been minted yet.
     */
    function _requireMinted(uint256 tokenId) internal view virtual {
        require(_exists(tokenId), "ERC721: invalid token ID");
    }

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) private returns (bool) {
        if (to.isContract()) {
            try IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {
                return retval == IERC721Receiver.onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256, /* firstTokenId */
        uint256 batchSize
    ) internal virtual {
        if (batchSize > 1) {
            if (from != address(0)) {
                _balances[from] -= batchSize;
            }
            if (to != address(0)) {
                _balances[to] += batchSize;
            }
        }
    }

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual {}
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @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`.
     *
     * 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 calldata data
    ) external;

    /**
     * @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 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
    ) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * 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;

    /**
     * @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;

    /**
     * @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);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721Receiver {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {
    /**
     * @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);
}

// 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
     * ====
     *
     * [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 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 v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;

/**
 * @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 Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/Math.sol";

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = Math.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, Math.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

import "../Strings.sol";

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV // Deprecated in v4.8
    }

    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert("ECDSA: invalid signature");
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert("ECDSA: invalid signature length");
        } else if (error == RecoverError.InvalidSignatureS) {
            revert("ECDSA: invalid signature 's' value");
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature` or error string. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength);
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature`. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     */
    function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, signature);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address, RecoverError) {
        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
        uint8 v = uint8((uint256(vs) >> 255) + 27);
        return tryRecover(hash, v, r, s);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
     *
     * _Available since v4.2._
     */
    function recover(
        bytes32 hash,
        bytes32 r,
        bytes32 vs
    ) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, r, vs);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
     * `r` and `s` signature fields separately.
     *
     * _Available since v4.3._
     */
    function tryRecover(
        bytes32 hash,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address, RecoverError) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
            return (address(0), RecoverError.InvalidSignatureS);
        }

        // If the signature is valid (and not malleable), return the signer address
        address signer = ecrecover(hash, v, r, s);
        if (signer == address(0)) {
            return (address(0), RecoverError.InvalidSignature);
        }

        return (signer, RecoverError.NoError);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `v`,
     * `r` and `s` signature fields separately.
     */
    function recover(
        bytes32 hash,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from a `hash`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n32", hash));
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from `s`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s));
    }

    /**
     * @dev Returns an Ethereum Signed Typed Data, created from a
     * `domainSeparator` and a `structHash`. This produces hash corresponding
     * to the one signed with the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
     * JSON-RPC method as part of EIP-712.
     *
     * See {recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.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 ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

// 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 IERC165 {
    /**
     * @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
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1);

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

                // Subtract 256 bit number from 512 bit number.
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
            // See https://cs.stackexchange.com/q/138556/92363.

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

                // Divide [prod1 prod0] by twos.
                prod0 := div(prod0, twos)

                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                twos := add(div(sub(0, twos), twos), 1)
            }

            // Shift in bits from prod1 into prod0.
            prod0 |= prod1 * twos;

            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
            // in modular arithmetic, doubling the correct bits in each step.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // inverse mod 2^256

            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inverse;
            return result;
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator,
        Rounding rounding
    ) internal pure returns (uint256) {
        uint256 result = mulDiv(x, y, denominator);
        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
            result += 1;
        }
        return result;
    }

    /**
     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
     *
     * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        //
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
        //
        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10**64) {
                value /= 10**64;
                result += 64;
            }
            if (value >= 10**32) {
                value /= 10**32;
                result += 32;
            }
            if (value >= 10**16) {
                value /= 10**16;
                result += 16;
            }
            if (value >= 10**8) {
                value /= 10**8;
                result += 8;
            }
            if (value >= 10**4) {
                value /= 10**4;
                result += 4;
            }
            if (value >= 10**2) {
                value /= 10**2;
                result += 2;
            }
            if (value >= 10**1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

pragma solidity ^0.8.0;

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits");
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits");
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits");
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.2._
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits");
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits");
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits");
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits");
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits");
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits");
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits");
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits");
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits");
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits");
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits");
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits");
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v2.5._
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits");
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits");
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits");
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.2._
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits");
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits");
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits");
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits");
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v2.5._
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits");
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits");
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits");
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits");
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v2.5._
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits");
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits");
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v2.5._
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits");
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v2.5._
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     *
     * _Available since v3.0._
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        require(value >= 0, "SafeCast: value must be positive");
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.7._
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v3.1._
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.7._
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v3.1._
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v3.1._
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v3.1._
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v3.1._
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     *
     * _Available since v3.0._
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256");
        return int256(value);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/structs/BitMaps.sol)
pragma solidity ^0.8.0;

/**
 * @dev Library for managing uint256 to bool mapping in a compact and efficient way, providing the keys are sequential.
 * Largely inspired by Uniswap's https://github.com/Uniswap/merkle-distributor/blob/master/contracts/MerkleDistributor.sol[merkle-distributor].
 */
library BitMaps {
    struct BitMap {
        mapping(uint256 => uint256) _data;
    }

    /**
     * @dev Returns whether the bit at `index` is set.
     */
    function get(BitMap storage bitmap, uint256 index) internal view returns (bool) {
        uint256 bucket = index >> 8;
        uint256 mask = 1 << (index & 0xff);
        return bitmap._data[bucket] & mask != 0;
    }

    /**
     * @dev Sets the bit at `index` to the boolean `value`.
     */
    function setTo(
        BitMap storage bitmap,
        uint256 index,
        bool value
    ) internal {
        if (value) {
            set(bitmap, index);
        } else {
            unset(bitmap, index);
        }
    }

    /**
     * @dev Sets the bit at `index`.
     */
    function set(BitMap storage bitmap, uint256 index) internal {
        uint256 bucket = index >> 8;
        uint256 mask = 1 << (index & 0xff);
        bitmap._data[bucket] |= mask;
    }

    /**
     * @dev Unsets the bit at `index`.
     */
    function unset(BitMap storage bitmap, uint256 index) internal {
        uint256 bucket = index >> 8;
        uint256 mask = 1 << (index & 0xff);
        bitmap._data[bucket] &= ~mask;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/structs/EnumerableSet.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableSet.
 * ====
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastValue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastValue;
                // Update the index for the moved value
                set._indexes[lastValue] = valueIndex; // Replace lastValue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function _values(Set storage set) private view returns (bytes32[] memory) {
        return set._values;
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
        bytes32[] memory store = _values(set._inner);
        bytes32[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(AddressSet storage set) internal view returns (address[] memory) {
        bytes32[] memory store = _values(set._inner);
        address[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(UintSet storage set) internal view returns (uint256[] memory) {
        bytes32[] memory store = _values(set._inner);
        uint256[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.15;

library Math {
    /**
     * @notice Returns the largest integer less than or equal to the square root of a given integer.
     * @dev Uses the Babylonian method.
     * @dev Not optimised and should therefore only be used for testing.
     * TODO(arran): control this through Bazel visibility
     */
    function intSqrt(uint256 x) internal pure returns (uint256) {
        if (x == 0) {
            return 0;
        }

        if (x < 4) {
            return 1;
        }

        uint256 z = x;
        uint256 y = x / 2 + 1;
        while (y < z) {
            z = y;
            y = (x / y + y) / 2;
        }

        return z;
    }
}

// SPDX-License-Identifier: MIT
// Copyright (c) 2022 the ethier authors (github.com/divergencetech/ethier)
pragma solidity ^0.8.15;

import {Test} from "forge-std/Test.sol";

import {Address} from "openzeppelin-contracts/utils/Address.sol";
import {Strings} from "openzeppelin-contracts/utils/Strings.sol";
import {IERC721, ERC721} from "openzeppelin-contracts/token/ERC721/ERC721.sol";
import {AccessControlEnumerable} from "ethier/utils/AccessControlEnumerable.sol";

import {Math} from "./Math.sol";

contract ProofTest is Test {
    using Address for address;

    bytes32 public immutable DEFAULT_ADMIN_ROLE;
    bytes32 public immutable DEFAULT_STEERING_ROLE;

    constructor() {
        AccessControlEnumerable ace = new AccessControlEnumerable();
        DEFAULT_ADMIN_ROLE = ace.DEFAULT_ADMIN_ROLE();
        DEFAULT_STEERING_ROLE = ace.DEFAULT_STEERING_ROLE();
    }

    address public immutable admin = makeAddr("admin");
    address public immutable steerer = makeAddr("steerer");

    function missingRoleError(address account, bytes32 role) public pure returns (bytes memory) {
        return bytes(
            string.concat(
                "AccessControl: account ", Strings.toHexString(account), " is missing role ", vm.toString(role)
            )
        );
    }

    function _assumeNotContract(address account) public view {
        vm.assume(uint160(account) > 10);
        vm.assume(!account.isContract());
    }

    modifier assertBalanceChangedBy(address account, int256 delta) {
        uint256 balance = account.balance;
        _;
        assertEq(account.balance, uint256(int256(balance) + delta));
    }

    modifier assertERC721BalanceChangedBy(IERC721 token, address account, int256 delta) {
        // Excluding this since balance checks of most ERC721 implementations will fail if the account is the zero address.
        vm.assume(account != address(0));
        uint256 balance = token.balanceOf(account);
        _;
        assertEq(token.balanceOf(account), uint256(int256(balance) + delta));
    }

    modifier assertERC721TokenBurned(IERC721 token, uint256 tokenId) {
        // Checking that it did not revert before.
        token.ownerOf(tokenId);
        _;
        // Not checking a specific revert here since the ERC721 standard does not mandate a specific error and it will differ across implementations.
        // TODO (dave): explore EIP165 checks to determine the implementation
        vm.expectRevert();
        token.ownerOf(tokenId);
    }

    function sequence(uint256 from, uint256 to) public pure returns (uint256[] memory) {
        uint256 num = to - from;
        uint256[] memory seq = new uint[](num);
        for (uint256 i = 0; i < num; i++) {
            seq[i] = from + i;
        }
        return seq;
    }

    function slice(uint256[] memory x, uint256 from, uint256 to) public pure returns (uint256[] memory) {
        uint256 num = to - from;
        uint256[] memory s = new uint256[](num);
        for (uint256 i = 0; i < num; i++) {
            s[i] = x[from + i];
        }
        return s;
    }

    function _deltasToAbsolute(uint256[] memory deltas, uint256 offset) private pure returns (uint256[] memory) {
        uint256[] memory tokenIds = new uint[](deltas.length);
        uint256 tokenId = 0;
        for (uint256 i = 0; i < deltas.length; i++) {
            tokenId += uint256(deltas[i]) + offset;
            tokenIds[i] = tokenId;
        }
        return tokenIds;
    }

    function deltasToAbsolute(uint256[] memory deltas) public pure returns (uint256[] memory) {
        return _deltasToAbsolute(deltas, 0);
    }

    function deltasToUniqueAbsolute(uint256[] memory deltas) public pure returns (uint256[] memory) {
        return _deltasToAbsolute(deltas, 1);
    }

    function assertBoundedIncl(uint256 x, uint256 lower, uint256 upper, string memory reason) public {
        string memory err =
            string.concat(reason, " ", vm.toString(x), " not in [", vm.toString(lower), ",", vm.toString(upper), "]");

        assertLe(x, upper, err);
        assertGe(x, lower, err);
    }

    function assertBoundedIncl(uint256 x, uint256 lower, uint256 upper) public {
        assertBoundedIncl(x, lower, upper, "");
    }

    function assertBinomialBoundedIncl(uint256 x, uint256 mean, uint256 numSigma) public {
        assertBinomialBoundedIncl(x, mean, numSigma, "");
    }

    function assertBinomialBoundedIncl(uint256 x, uint256 mean, uint256 numSigma, string memory reason) public {
        // crude approximation of the confidence interval via the central limit theorem
        // the approximation is only good if mean is sufficiently large
        // https://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval#Normal_approximation_interval
        uint256 tolerance = numSigma * Math.intSqrt(mean);
        assertBoundedIncl(x, mean > tolerance ? mean - tolerance : 0, mean + tolerance, reason);
    }

    function expectRevertNotSteererThenPrank(address vandal) public {
        vm.assume(vandal != steerer);
        vm.expectRevert(missingRoleError(vandal, DEFAULT_STEERING_ROLE));
        vm.prank(vandal, steerer);
    }

    // TODO(dave): generated these programmatically via a go template and add more.

    function toUint64s(uint8[1] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint8[2] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint8[3] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint8[4] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint8[5] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint32[1] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint32[2] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint32[3] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint32[4] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint64[1] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint64[2] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint64[3] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint64s(uint64[4] memory input) public pure returns (uint64[] memory output) {
        output = new uint64[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint8[1] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint8[2] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint8[3] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint8[4] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint128[1] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint128[2] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint128[3] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint128s(uint128[4] memory input) public pure returns (uint128[] memory output) {
        output = new uint128[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[1] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[2] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[3] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[4] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[5] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint8[6] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[1] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[2] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[3] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[4] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[5] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint16[6] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint32[20] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint32[50] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint32[100] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint128[1] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint128[2] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint128[3] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint128[4] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toUint256s(uint256[4] memory input) public pure returns (uint256[] memory output) {
        output = new uint256[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }

    function toAddresses(address[1] memory input) public pure returns (address[] memory output) {
        output = new address[](input.length);
        for (uint256 i; i < input.length; ++i) {
            output[i] = input[i];
        }
    }
}

contract SignerTest is Test {
    address public immutable signer;
    uint256 public immutable signerKey;

    constructor() {
        (signer, signerKey) = makeAddrAndKey("signer");
    }

    function _sign(uint256 key, bytes32 digest) internal pure returns (bytes memory) {
        (uint8 v, bytes32 r, bytes32 s) = vm.sign(key, digest);
        return abi.encodePacked(r, s, v);
    }
}

contract ERC721Fake is ERC721("Fake", "FAKE") {
    function mint(address to, uint256 tokenId) public {
        _mint(to, tokenId);
    }

    function mint(address to, uint256[] memory tokenIds) public {
        for (uint256 i; i < tokenIds.length; ++i) {
            mint(to, tokenIds[i]);
        }
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity >=0.8.0 <0.9.0;

import {Seller} from "./Seller.sol";

/**
 * @notice Extends the basic seller by assuming that the total cost of the purchase can be computed by an internal
 * function and is not supplied externally.
 */
abstract contract InternallyPriced is Seller {
    /**
     * @notice Computes the total cost of purchasing `num` tokens.
     * @dev This is intended to be overridden by derived contracts.
     */
    function _cost(uint64 num) internal view virtual returns (uint256);

    /**
     * @notice Returns the total cost of purchasing `num` tokens.
     * @dev Intended for third-party integrations.
     */
    function cost(uint64 num) external view returns (uint256) {
        return _cost(num);
    }
    /**
     * @dev Replaces the cost of the purchase with the computed value.
     */

    function _checkAndModifyPurchase(address to, uint64 num, uint256 cost_, bytes memory data)
        internal
        view
        virtual
        override
        returns (address, uint64, uint256)
    {
        (to, num, cost_) = super._checkAndModifyPurchase(to, num, cost_, data);
        return (to, num, _cost(num));
    }

    /**
     * @dev Convenience function without cost that is now computed internally instead.
     */
    function _purchase(address to, uint64 num, bytes memory data) internal {
        _purchase(to, num, _UNDEFINED_COST, data);
    }
}

/**
 * @notice Extends internally priced sellers by ensuring that the sent value matches the computed cost exactly.
 */
abstract contract ExactInternallyPriced is InternallyPriced {
    // =========================================================================
    //                           Errors
    // =========================================================================

    /**
     * @notice Thrown if the payment does not match the computed cost.
     */
    error WrongPayment(uint256 actual, uint256 expected);

    /**
     * @inheritdoc Seller
     */
    function _checkAndModifyPurchase(address to, uint64 num, uint256 cost_, bytes memory data)
        internal
        view
        virtual
        override
        returns (address, uint64, uint256)
    {
        (to, num, cost_) = InternallyPriced._checkAndModifyPurchase(to, num, cost_, data);
        if (msg.value != cost_) {
            revert WrongPayment(msg.value, cost_);
        }
        return (to, num, cost_);
    }
}

/**
 * @notice Public seller with a fixed price.
 */
abstract contract ExactFixedPrice is ExactInternallyPriced {
    constructor(uint256 price) {
        _setPrice(price);
    }

    /**
     * @notice The price of a single purchase.
     */
    uint256 private _price;

    /**
     * @notice Computes the cost of a purchase.
     */
    function _cost(uint64 num) internal view virtual override returns (uint256) {
        return num * _price;
    }

    /**
     * @notice Sets the price of a single purchase.
     */
    function _setPrice(uint256 price) internal {
        _price = price;
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {IERC721} from "openzeppelin-contracts/token/ERC721/IERC721.sol";
import {SafeCast} from "openzeppelin-contracts/utils/math/SafeCast.sol";

import {InternallyPriced} from "../base/InternallyPriced.sol";
import {TokenUsageTracker} from "../base/TokenUsageTracker.sol";

/**
 * @notice Introduces claimability based on ERC721 token ownership.
 */
abstract contract InternallyPricedTokenGated is InternallyPriced, TokenUsageTracker {
    constructor(IERC721 token) TokenUsageTracker(token) {}

    /**
     * @notice Redeems claims with a list of given token ids.
     * @dev Reverts if the sender is not allowed to spend one or more of the
     * listed tokens or if a token has already been used.
     */
    function _purchase(uint256[] memory tokenIds) internal virtual {
        TokenUsageTracker._checkAndTrackPurchasesWithTokens(msg.sender, tokenIds);
        InternallyPriced._purchase(msg.sender, SafeCast.toUint64(tokenIds.length), "");
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity >=0.8.0 <0.9.0;

import {ISellable} from "../interfaces/ISellable.sol";
import {PurchaseExecuter} from "../interfaces/PurchaseExecuter.sol";

/**
 * @notice Executes a purchase by calling the purchase interface of a `ISellable`  contract.
 */
abstract contract SellableCallbacker is PurchaseExecuter {
    /**
     * @notice Emitted when the callback to the `ISellable` contract fails.
     */
    error CallbackFailed(bytes reason);

    /**
     * @notice The `ISellable` contract that will be called to execute the purchase.
     */
    ISellable public immutable sellable;

    constructor(ISellable sellable_) {
        sellable = ISellable(sellable_);
    }

    /**
     * @notice Executes a purchase by calling the sale interface of a `ISellable` contract.
     */
    function _executePurchase(address to, uint64 num, uint256 cost, bytes memory data) internal virtual override {
        try sellable.handleSale{value: cost}(to, num, data) {}
        catch (bytes memory reason) {
            // TODO(dave): the reason is empty if the above call runs OutOfFund. Explore ways to bubble this up more cleanly.
            revert CallbackFailed(reason);
        }
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity >=0.8.0 <0.9.0;

import {ReentrancyGuard} from "openzeppelin-contracts/security/ReentrancyGuard.sol";
import {PurchaseExecuter} from "../interfaces/PurchaseExecuter.sol";

/**
 * @notice Abstract base contract for all `Seller`s.
 * @dev The intention of this contract is to provide an extensible base for various kinds of Seller modules that can be
 * flexibly composed to build more complex sellers - allowing effective code reuse.
 * Derived contracts are intended to implement their logic by overriding and extending the `_checkAndModifyPurchase` and
 * `_beforePurchase` hooks (calling the parent implementation(s) to compose logic). The former is intended to perform
 * manipulations and checks of the input data; the latter to update the internal state of the module.
 * Final sellers will compose these modules and expose an addition external purchase function for buyers.
 */

abstract contract Seller is PurchaseExecuter, ReentrancyGuard {
    uint256 internal constant _UNDEFINED_COST = type(uint256).max;

    /**
     * @notice Internal function handling a given purchase, performing checks and input manipulations depending on the
     * logic in the hooks.
     * @param to The receiver of the purchase
     * @param num Number of requested purchases
     * @param externalTotalCost Total cost of the purchase
     * @dev This function is intended to be wrapped in an external method for final sellers. Since we cannot foresee
     * what logic will be implemented in the hooks, we added a reentrancy guard for safety.
     */
    function _purchase(address to, uint64 num, uint256 externalTotalCost, bytes memory data)
        internal
        virtual
        nonReentrant
    {
        uint256 totalCost;
        (to, num, totalCost) = _checkAndModifyPurchase(to, num, externalTotalCost, data);
        _beforePurchase(to, num, totalCost, data);
        _executePurchase(to, num, totalCost, data);
    }

    // =================================================================================================================
    //                           Hooks
    // =================================================================================================================

    /**
     * @notice Hook that is called before handling a purchase (even before `_beforePurchase`)
     * @dev The intent of this hook is to manipulate the input data and perform  checks before actually handling the
     * purchase.
     * @param to The receiver of the purchase
     * @param num Number of requested purchases
     * @param totalCost Total cost of the purchase
     * @dev This function MUST return sensible values, since these will be used to perfom the purchase.
     */
    function _checkAndModifyPurchase(address to, uint64 num, uint256 totalCost, bytes memory)
        internal
        view
        virtual
        returns (address, uint64, uint256)
    {
        return (to, num, totalCost);
    }

    /**
     * @notice Hook that is called before handling a purchase.
     * @dev The intent of this hook is to update the internal state of the seller (module) if necessary.
     * It is critical that the updates happen here and not in `_checkAndModifyPurchase` because only after calling that
     * function the purchase parameters can be considered fixed.
     */
    function _beforePurchase(address to, uint64 num, uint256 totalCost, bytes memory data) internal virtual {
        // solhint-disable-line no-empty-blocks
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {IERC721} from "openzeppelin-contracts/token/ERC721/IERC721.sol";
import {IDelegationRegistry} from "delegation-registry/IDelegationRegistry.sol";

/**
 * @notice Checks if an operator is allowed to purchase with given ERC721 tokens.
 */
abstract contract TokenApprovalChecker {
    /**
     * @notice Determines if a given operator is allowed to purchase with a given token.
     */
    function _isAllowedToPurchaseWithToken(address operator, IERC721 token, uint256 tokenId)
        internal
        view
        virtual
        returns (bool);
}

/**
 * @notice Allows the token owner and any ERC721-approved operator to purchase.
 */
contract DefaultTokenApprovalChecker is TokenApprovalChecker {
    /**
     * @inheritdoc TokenApprovalChecker
     */
    function _isAllowedToPurchaseWithToken(address operator, IERC721 token, uint256 tokenId)
        internal
        view
        virtual
        override
        returns (bool)
    {
        address tokenOwner = token.ownerOf(tokenId);
        return (operator == tokenOwner) || token.isApprovedForAll(tokenOwner, operator)
            || (operator == token.getApproved(tokenId));
    }
}

/**
 * @notice Extension to `DefaultTokenApprovalChecker` that additionally allows delegated operators via delegate.cash.
 */
contract DelegatedTokenApprovalChecker is TokenApprovalChecker {
    /**
     * @notice The delegate.cash delegation registry.
     */
    IDelegationRegistry internal immutable _delegationRegistry;

    constructor(IDelegationRegistry delegationRegistry) {
        _delegationRegistry = delegationRegistry;
    }

    /**
     * @inheritdoc TokenApprovalChecker
     */
    function _isAllowedToPurchaseWithToken(address operator, IERC721 token, uint256 tokenId)
        internal
        view
        virtual
        override
        returns (bool)
    {
        // Reimplemententing the standard checks instead of calling
        // `super._isAllowedToClaim` here to have a specific ordering for gas
        // efficiency: 1. owner, 2. delegation, 3. ERC721 approvals.
        address tokenOwner = token.ownerOf(tokenId);
        return (operator == tokenOwner)
            || _delegationRegistry.checkDelegateForToken(operator, tokenOwner, address(token), tokenId)
            || token.isApprovedForAll(tokenOwner, operator) || (operator == token.getApproved(tokenId));
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {IERC721} from "openzeppelin-contracts/token/ERC721/IERC721.sol";
import {BitMaps} from "openzeppelin-contracts/utils/structs/BitMaps.sol";

import {TokenApprovalChecker} from "./TokenApprovalChecker.sol";

/**
 * @notice Checks if an operator is allowed to purchase with given ERC721 tokens and keeps track of already used tokens.
 */
abstract contract TokenUsageTracker is TokenApprovalChecker {
    using BitMaps for BitMaps.BitMap;

    // =========================================================================
    //                           Errors
    // =========================================================================

    /**
     * @notice Thrown if the operator is not allowed to act with a given token.
     */
    error OperatorNotAllowedToPurchaseWithToken(address operator, uint256 tokenId);

    /**
     * @notice Thrown if a token was already used to claim.
     */
    error TokenAlreadyUsedForPurchase(uint256 tokenId);

    // =========================================================================
    //                           Constants
    // =========================================================================

    /**
     * @notice The ERC721 contract for token-gating.
     */
    IERC721 internal immutable _token;

    // =========================================================================
    //                           Storage
    // =========================================================================

    /**
     * @notice Keeps track of tokens that have already been used for redemptions.
     */
    BitMaps.BitMap private _usedTokens;

    constructor(IERC721 token) {
        _token = token;
    }

    // =========================================================================
    //                           Accounting
    // =========================================================================

    /**
     * @notice Checks if a token has already been used to purchase.
     */
    function alreadyPurchasedWithTokens(uint256[] calldata tokenIds) external view returns (bool[] memory) {
        bool[] memory used = new bool[](tokenIds.length);
        for (uint256 i; i < tokenIds.length; ++i) {
            used[i] = _usedTokens.get(tokenIds[i]);
        }
        return used;
    }

    /**
     * @notice Checks if the operator is allowed to purchase with the given tokens and marks them as used.
     * @dev Reverts if the operator is not allowed to spend one or more of the listed tokens or if a token has already
     * been used.
     */
    function _checkAndTrackPurchasesWithTokens(address operator, uint256[] memory tokenIds) internal virtual {
        for (uint256 i; i < tokenIds.length; ++i) {
            if (!_isAllowedToPurchaseWithToken(operator, _token, tokenIds[i])) {
                revert OperatorNotAllowedToPurchaseWithToken(operator, tokenIds[i]);
            }

            if (_usedTokens.get(tokenIds[i])) {
                revert TokenAlreadyUsedForPurchase(tokenIds[i]);
            }
            _usedTokens.set(tokenIds[i]);
        }
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity >=0.8.0 <0.9.0;

/**
 * @notice Basic interface for a contract providing sellable content.
 */
interface ISellable {
    /**
     * @notice Handles the sale of sellable content.
     * @dev This is usually only callable by Sellers.
     */
    function handleSale(address to, uint64 num, bytes calldata data) external payable;
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity >=0.8.0 <0.9.0;

/**
 * @notice Interface to execute purchases in `Seller`s.
 * @dev This executes the final purchase. This can be anything from minting ERC721 tokens to transfering funds, etc.
 */
abstract contract PurchaseExecuter {
    function _executePurchase(address to, uint64 num, uint256 cost, bytes memory data) internal virtual;
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {EnumerableSet} from "openzeppelin-contracts/utils/structs/EnumerableSet.sol";

import {NestingLevelLib} from "./NestingLevelLib.sol";
import {IERC721, InternallyPricedTokenGated} from "./TokenGated.sol";
import {Seller} from "../base/Seller.sol";

/**
 * @notice Introduces claimability based on signed MoonbirdNestingLevels.
 */
abstract contract MoonbirdNestingLevelGated is InternallyPricedTokenGated {
    using EnumerableSet for EnumerableSet.AddressSet;
    using NestingLevelLib for NestingLevelLib.MoonbirdNestingLevel;
    using NestingLevelLib for NestingLevelLib.SignedMoonbirdNestingLevel;

    // =================================================================================================================
    //                           Errors
    // =================================================================================================================

    /**
     * @notice Thrown if a the signer of a MoonbirdNestingLevels is not authorised.
     */
    error UnauthorisedSigner(NestingLevelLib.SignedMoonbirdNestingLevel, address recovered);

    /**
     * @notice Thrown if the nesting level of a given Moonbird is insufficient, i.e. lower than `requiredNestingLevel`.
     */
    error InsufficientNestingLevel(
        NestingLevelLib.MoonbirdNestingLevel moonbirdNestingLevel, NestingLevelLib.NestingLevel requiredNestingLevel
    );

    // =================================================================================================================
    //                           Storage
    // =================================================================================================================

    /**
     * @notice The minimum nesting level required to purchase.
     */
    NestingLevelLib.NestingLevel public immutable requiredNestingLevel;

    /**
     * @notice The set of autorised moonbirdNestingLevel signers.
     */
    EnumerableSet.AddressSet private _signers;

    constructor(IERC721 token, NestingLevelLib.NestingLevel requiredNestingLevel_) InternallyPricedTokenGated(token) {
        requiredNestingLevel = requiredNestingLevel_;
    }

    // =================================================================================================================
    //                           Purchasing
    // =================================================================================================================

    /**
     * @notice Computes the hash of a given MoonbirdNestingLevel.
     * @dev This is the raw bytes32 message that will finally be signed by one of the authorised `_signers`.
     */
    function digest(NestingLevelLib.MoonbirdNestingLevel memory moonbirdNestingLevel) public view returns (bytes32) {
        return moonbirdNestingLevel.digest();
    }

    /**
     * @notice Interface to perform purchases with signed MoonbirdNestingLevels.
     */
    function purchase(NestingLevelLib.SignedMoonbirdNestingLevel[] calldata sigs) public payable virtual {
        uint256[] memory tokenIds = new uint[](sigs.length);
        for (uint256 i; i < sigs.length; ++i) {
            address signer = sigs[i].recoverSigner();
            if (!_signers.contains(signer)) {
                revert UnauthorisedSigner(sigs[i], signer);
            }

            if (sigs[i].payload.nestingLevel < requiredNestingLevel) {
                revert InsufficientNestingLevel(sigs[i].payload, requiredNestingLevel);
            }

            tokenIds[i] = sigs[i].payload.tokenId;
        }

        InternallyPricedTokenGated._purchase(tokenIds);
    }

    // =================================================================================================================
    //                           Steering
    // =================================================================================================================

    /**
     * @notice Changes set of signers authorised to sign MoonbirdNestingLevels.
     */
    function _changeAllowlistSigners(address[] calldata rm, address[] calldata add) internal {
        for (uint256 i; i < rm.length; ++i) {
            _signers.remove(rm[i]);
        }
        for (uint256 i; i < add.length; ++i) {
            _signers.add(add[i]);
        }
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {ECDSA} from "openzeppelin-contracts/utils/cryptography/ECDSA.sol";

library NestingLevelLib {
    using NestingLevelLib for MoonbirdNestingLevel;
    using NestingLevelLib for SignedMoonbirdNestingLevel;

    /**
     * @notice The nesting levels of a Moonbird.
     */
    enum NestingLevel {
        Unnested,
        Straw,
        Bronze,
        Silver,
        Gold,
        Diamond
    }

    /**
     * @notice Associates a moonbird with its nesting level.
     * @dev Encodes the payload to be signed by a trusted signer.
     */
    struct MoonbirdNestingLevel {
        uint256 tokenId;
        NestingLevel nestingLevel;
    }

    /**
     * @notice A MoonbirdNestingLevel with signature proving that the given nesting level is correct.
     * @dev The signature will be issued by a trusted signer.
     */
    struct SignedMoonbirdNestingLevel {
        MoonbirdNestingLevel payload;
        bytes signature;
    }

    /**
     * @notice Computes the hash of a given MoonbirdNestingLevel depending on chainId.
     */
    function digest(MoonbirdNestingLevel memory payload, uint256 chainId) internal pure returns (bytes32) {
        // We do not use EIP712 signatures here for the time being for simplicity (and since we will be the only ones
        // signing).
        return ECDSA.toEthSignedMessageHash(
            abi.encode(
                payload,
                // Adding chain id to prevent replay attacks using testnet signatures.
                chainId
            )
        );
    }

    /**
     * @notice Convenience wrapper around `digest(MoonbirdNestingLevel, uint256)` that uses the current chainId.
     */
    function digest(MoonbirdNestingLevel memory payload) internal view returns (bytes32) {
        return digest(payload, block.chainid);
    }

    /**
     * @notice Performs ECDSA.recover()y on the digest of the signed payload.
     */
    function recoverSigner(SignedMoonbirdNestingLevel memory signed, uint256 chainId) internal pure returns (address) {
        return ECDSA.recover(signed.payload.digest(chainId), signed.signature);
    }

    /**
     * @notice Convenience wrapper for `recoverSigner(SignedMoonbirdNestingLevel, block.chainid)`.
     */
    function recoverSigner(SignedMoonbirdNestingLevel memory signed) internal view returns (address) {
        return signed.recoverSigner(block.chainid);
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {IERC721} from "openzeppelin-contracts/token/ERC721/IERC721.sol";
import {BitMaps} from "openzeppelin-contracts/utils/structs/BitMaps.sol";
import {SafeCast} from "openzeppelin-contracts/utils/math/SafeCast.sol";
import {IDelegationRegistry} from "delegation-registry/IDelegationRegistry.sol";

import {InternallyPricedTokenGated} from "../base/InternallyPricedTokenGated.sol";
import {
    TokenApprovalChecker,
    DefaultTokenApprovalChecker,
    DelegatedTokenApprovalChecker
} from "../base/TokenApprovalChecker.sol";

/**
 * @notice Introduces claimability based on ERC721 token ownership.
 */
abstract contract TokenGated is InternallyPricedTokenGated {
    constructor(IERC721 token) InternallyPricedTokenGated(token) {}

    /**
     * @notice Redeems claims with a list of given token ids.
     * @dev Reverts if the sender is not allowed to spend one or more of the listed tokens or if a token has already
     * been used.
     */
    function purchase(uint256[] calldata tokenIds) external payable virtual {
        InternallyPricedTokenGated._purchase(tokenIds);
    }
}

/**
 * @notice Introduces claimability based on ERC721 token ownership.
 */
abstract contract DefaultTokenGated is TokenGated, DefaultTokenApprovalChecker {
    constructor(IERC721 token) TokenGated(token) {}

    /**
     * @inheritdoc TokenApprovalChecker
     */
    function _isAllowedToPurchaseWithToken(address operator, IERC721 token, uint256 tokenId)
        internal
        view
        virtual
        override(TokenApprovalChecker, DefaultTokenApprovalChecker)
        returns (bool)
    {
        return DefaultTokenApprovalChecker._isAllowedToPurchaseWithToken(operator, token, tokenId);
    }
}

/**
 * @notice Extension to `TokenGated` adding delegation via delegate.cash.
 */
abstract contract DelegatedTokenGated is TokenGated, DelegatedTokenApprovalChecker {
    constructor(IERC721 token, IDelegationRegistry delegationRegistry)
        TokenGated(token)
        DelegatedTokenApprovalChecker(delegationRegistry)
    {}

    /**
     * @inheritdoc TokenApprovalChecker
     */
    function _isAllowedToPurchaseWithToken(address operator, IERC721 token, uint256 tokenId)
        internal
        view
        virtual
        override(TokenApprovalChecker, DelegatedTokenApprovalChecker)
        returns (bool)
    {
        return DelegatedTokenApprovalChecker._isAllowedToPurchaseWithToken(operator, token, tokenId);
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {AccessControlEnumerable} from "ethier/utils/AccessControlEnumerable.sol";
import {ISellable, SellableCallbacker} from "../base/SellableCallbacker.sol";

/**
 * @notice Base contract for seller presets that call back to a sellable contract.
 */
contract CallbackerWithAccessControl is SellableCallbacker, AccessControlEnumerable {
    constructor(address admin, address steerer, ISellable sellable_) SellableCallbacker(sellable_) {
        _grantRole(DEFAULT_ADMIN_ROLE, admin);
        _grantRole(DEFAULT_STEERING_ROLE, steerer);
    }
}

// SPDX-License-Identifier: MIT
// Copyright 2023 PROOF Holdings Inc
pragma solidity ^0.8.16;

import {CallbackerWithAccessControl} from "./CallbackerWithAccessControl.sol";
import {ExactFixedPrice} from "../base/InternallyPriced.sol";

/**
 * @notice Seller with a steerer-settable price.
 */
abstract contract ExactSettableFixedPrice is ExactFixedPrice, CallbackerWithAccessControl {
    constructor(uint256 price) ExactFixedPrice(price) {}

    /**
     * @notice Sets the price of a single purchase.
     */
    function setPrice(uint256 price) external onlyRole(DEFAULT_STEERING_ROLE) {
        _setPrice(price);
    }
}

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• No Contract Security Audit Submitted- Submit Audit Here

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00000000000000000000000070c71b539bdcb5b59edd42a500fd95bdec96265000000000000000000000000032220f07dbcd18149f619f28cd09fd911cc0372d00000000000000000000000013303b4ee819fac204be5ef77523cfcd558c082f000000000000000000000000000000000000000000000000000000000000000000000000000000000000000023581767a106ae21c074b2276d25e5c3e136a68b000000000000000000000000000000000000000000000000000000000000000500000000000000000000000000000000000076a84fef008cdabe6409d2fe638b

-----Decoded View---------------
Arg [0] : admin (address): 0x70c71b539BDcB5b59Edd42a500Fd95bdeC962650
Arg [1] : steerer (address): 0x32220f07DBcd18149f619F28cD09FD911cc0372D
Arg [2] : sellable_ (address): 0x13303b4EE819FAc204be5eF77523cfCd558c082f
Arg [3] : price (uint256): 0
Arg [4] : gatingToken (address): 0x23581767a106ae21c074b2276D25e5C3e136a68b
Arg [5] : requiredLevel (uint8): 5
Arg [6] : registry (address): 0x00000000000076A84feF008CDAbe6409d2FE638B

-----Encoded View---------------
7 Constructor Arguments found :
Arg [0] : 00000000000000000000000070c71b539bdcb5b59edd42a500fd95bdec962650
Arg [1] : 00000000000000000000000032220f07dbcd18149f619f28cd09fd911cc0372d
Arg [2] : 00000000000000000000000013303b4ee819fac204be5ef77523cfcd558c082f
Arg [3] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [4] : 00000000000000000000000023581767a106ae21c074b2276d25e5c3e136a68b
Arg [5] : 0000000000000000000000000000000000000000000000000000000000000005
Arg [6] : 00000000000000000000000000000000000076a84fef008cdabe6409d2fe638b