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// SPDX-License-Identifier: MIT

pragma solidity =0.8.20;

import { IERC4626Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/interfaces/IERC4626Upgradeable.sol";
import { SafeERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/utils/SafeERC20Upgradeable.sol";
import { IERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/IERC20Upgradeable.sol";

import { LinearRewardDistributor } from "../../common/rewards/distributor/LinearRewardDistributor.sol";
import { ConcentratorCompounderBase } from "../ConcentratorCompounderBase.sol";

import { ICvxFxnCompounder } from "../../interfaces/concentrator/ICvxFxnCompounder.sol";
import { IConvexFXNDepositor } from "../../interfaces/convex/IConvexFXNDepositor.sol";
import { ICurveFactoryPlainPool } from "../../interfaces/ICurveFactoryPlainPool.sol";

// solhint-disable const-name-snakecase
// solhint-disable no-empty-blocks

contract CvxFxnCompounder is ConcentratorCompounderBase, ICvxFxnCompounder {
  using SafeERC20Upgradeable for IERC20Upgradeable;

  /*************
   * Constants *
   *************/

  /// @dev The address of FXN token.
  address private constant FXN = 0x365AccFCa291e7D3914637ABf1F7635dB165Bb09;

  /// @dev The address of cvxFXN token.
  address private constant cvxFXN = 0x183395DbD0B5e93323a7286D1973150697FFFCB3;

  /// @dev The address of stkCvxFxn token.
  address private constant stkCvxFxn = 0xEC60Cd4a5866fb3B0DD317A46d3B474a24e06beF;

  /// @dev The address of Curve FXN/cvxFXN pool.
  address private constant CURVE_POOL = 0x1062FD8eD633c1f080754c19317cb3912810B5e5;

  /// @dev The address of Convex's FXN => cvxFXN depositor Contract.
  address private constant FXN_DEPOSITOR = 0x56B3c8eF8A095f8637B6A84942aA898326B82b91;

  /***************
   * Constructor *
   ***************/

  constructor(uint40 _periodLength) LinearRewardDistributor(_periodLength) {}

  function initialize(
    string memory _name,
    string memory _symbol,
    address _treasury,
    address _harvester,
    address _converter,
    address _strategy
  ) external initializer {
    __Context_init(); // from ContextUpgradeable
    __ERC165_init(); // from ERC165Upgradeable
    __AccessControl_init(); // from AccessControlUpgradeable
    __ReentrancyGuard_init(); // from ReentrancyGuardUpgradeable
    __ERC20_init(_name, _symbol); // from ERC20Upgradeable
    __ERC20Permit_init(_name); // from ERC20PermitUpgradeable

    __ConcentratorBaseV2_init(_treasury, _harvester, _converter); // from ConcentratorBaseV2
    __LinearRewardDistributor_init(cvxFXN); // from LinearRewardDistributor
    __ConcentratorCompounderBase_init(_strategy); // from ConcentratorCompounderBase

    // access control
    _grantRole(DEFAULT_ADMIN_ROLE, _msgSender());

    // approval
    IERC20Upgradeable(FXN).safeApprove(FXN_DEPOSITOR, type(uint256).max);
    IERC20Upgradeable(FXN).safeApprove(CURVE_POOL, type(uint256).max);
  }

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @inheritdoc ICvxFxnCompounder
  ///
  /// @dev If the caller wants to deposit all held tokens, use `_assets=type(uint256).max`.
  function depositWithStkCvxFxn(uint256 _assets, address _receiver)
    external
    override
    nonReentrant
    returns (uint256 _shares)
  {
    _distributePendingReward();

    address _sender = _msgSender();
    if (_assets == type(uint256).max) {
      _assets = IERC20Upgradeable(stkCvxFxn).balanceOf(_sender);
    }
    IERC20Upgradeable(stkCvxFxn).safeTransferFrom(_sender, strategy, _assets);

    _shares = _deposit(_assets, _receiver, address(0));
  }

  /// @inheritdoc ICvxFxnCompounder
  ///
  /// @dev If the caller wants to deposit all held tokens, use `_assets=type(uint256).max`.
  function depositWithFXN(
    uint256 _assets,
    address _receiver,
    uint256 _minShares
  ) external override nonReentrant returns (uint256 _shares) {
    _distributePendingReward();

    address _sender = _msgSender();
    if (_assets == type(uint256).max) {
      _assets = IERC20Upgradeable(FXN).balanceOf(_sender);
    }
    IERC20Upgradeable(FXN).safeTransferFrom(_sender, address(this), _assets);

    address _strategy = strategy;
    _assets = _swapFxnToCvxFxn(_assets, _strategy);

    _shares = _deposit(_assets, _receiver, _strategy);
    if (_shares < _minShares) revert InsufficientShares();
  }

  /**********************
   * Internal Functions *
   **********************/

  /// @inheritdoc ConcentratorCompounderBase
  function _getAsset() internal view virtual override returns (address) {
    return cvxFXN;
  }

  /// @inheritdoc ConcentratorCompounderBase
  function _getIntermediateToken() internal view virtual override returns (address) {
    return FXN;
  }

  /// @dev Internal function to swap FXN to cvxFXN
  ///
  /// @param _amountIn The amount of FXN to swap.
  /// @param _receiver The address of recipient who will recieve the cvxFXN.
  /// @return _amountOut The amount of cvxFXN received.
  function _swapFxnToCvxFxn(uint256 _amountIn, address _receiver) internal returns (uint256 _amountOut) {
    // CRV swap to cvxFXN or stake to cvxFXN
    _amountOut = ICurveFactoryPlainPool(CURVE_POOL).get_dy(0, 1, _amountIn);
    bool useCurve = _amountOut > _amountIn;

    if (useCurve) {
      _amountOut = ICurveFactoryPlainPool(CURVE_POOL).exchange(0, 1, _amountIn, 0, _receiver);
    } else {
      // no lock incentive, we don't explicit lock to save gas.
      IConvexFXNDepositor(FXN_DEPOSITOR).deposit(_amountIn, false);
      if (_receiver != address(this)) {
        IERC20Upgradeable(cvxFXN).safeTransfer(_receiver, _amountIn);
      }
      _amountOut = _amountIn;
    }
  }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/AccessControl.sol)

pragma solidity ^0.8.0;

import "./IAccessControlUpgradeable.sol";
import "../utils/ContextUpgradeable.sol";
import "../utils/StringsUpgradeable.sol";
import "../utils/introspection/ERC165Upgradeable.sol";
import "../proxy/utils/Initializable.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:
 *
 * ```solidity
 * 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}:
 *
 * ```solidity
 * 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. We recommend using {AccessControlDefaultAdminRules}
 * to enforce additional security measures for this role.
 */
abstract contract AccessControlUpgradeable is Initializable, ContextUpgradeable, IAccessControlUpgradeable, ERC165Upgradeable {
    function __AccessControl_init() internal onlyInitializing {
    }

    function __AccessControl_init_unchained() internal onlyInitializing {
    }
    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(IAccessControlUpgradeable).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 ",
                        StringsUpgradeable.toHexString(account),
                        " is missing role ",
                        StringsUpgradeable.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());
        }
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControlUpgradeable {
    /**
     * @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 (last updated v4.9.0) (interfaces/IERC4626.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20Upgradeable.sol";
import "../token/ERC20/extensions/IERC20MetadataUpgradeable.sol";

/**
 * @dev Interface of the ERC4626 "Tokenized Vault Standard", as defined in
 * https://eips.ethereum.org/EIPS/eip-4626[ERC-4626].
 *
 * _Available since v4.7._
 */
interface IERC4626Upgradeable is IERC20Upgradeable, IERC20MetadataUpgradeable {
    event Deposit(address indexed sender, address indexed owner, uint256 assets, uint256 shares);

    event Withdraw(
        address indexed sender,
        address indexed receiver,
        address indexed owner,
        uint256 assets,
        uint256 shares
    );

    /**
     * @dev Returns the address of the underlying token used for the Vault for accounting, depositing, and withdrawing.
     *
     * - MUST be an ERC-20 token contract.
     * - MUST NOT revert.
     */
    function asset() external view returns (address assetTokenAddress);

    /**
     * @dev Returns the total amount of the underlying asset that is “managed” by Vault.
     *
     * - SHOULD include any compounding that occurs from yield.
     * - MUST be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT revert.
     */
    function totalAssets() external view returns (uint256 totalManagedAssets);

    /**
     * @dev Returns the amount of shares that the Vault would exchange for the amount of assets provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToShares(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Returns the amount of assets that the Vault would exchange for the amount of shares provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToAssets(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be deposited into the Vault for the receiver,
     * through a deposit call.
     *
     * - MUST return a limited value if receiver is subject to some deposit limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of assets that may be deposited.
     * - MUST NOT revert.
     */
    function maxDeposit(address receiver) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their deposit at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of Vault shares that would be minted in a deposit
     *   call in the same transaction. I.e. deposit should return the same or more shares as previewDeposit if called
     *   in the same transaction.
     * - MUST NOT account for deposit limits like those returned from maxDeposit and should always act as though the
     *   deposit would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewDeposit SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewDeposit(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Mints shares Vault shares to receiver by depositing exactly amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   deposit execution, and are accounted for during deposit.
     * - MUST revert if all of assets cannot be deposited (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function deposit(uint256 assets, address receiver) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of the Vault shares that can be minted for the receiver, through a mint call.
     * - MUST return a limited value if receiver is subject to some mint limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of shares that may be minted.
     * - MUST NOT revert.
     */
    function maxMint(address receiver) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their mint at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of assets that would be deposited in a mint call
     *   in the same transaction. I.e. mint should return the same or fewer assets as previewMint if called in the
     *   same transaction.
     * - MUST NOT account for mint limits like those returned from maxMint and should always act as though the mint
     *   would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewMint SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by minting.
     */
    function previewMint(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Mints exactly shares Vault shares to receiver by depositing amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the mint
     *   execution, and are accounted for during mint.
     * - MUST revert if all of shares cannot be minted (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function mint(uint256 shares, address receiver) external returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be withdrawn from the owner balance in the
     * Vault, through a withdraw call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxWithdraw(address owner) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their withdrawal at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of Vault shares that would be burned in a withdraw
     *   call in the same transaction. I.e. withdraw should return the same or fewer shares as previewWithdraw if
     *   called
     *   in the same transaction.
     * - MUST NOT account for withdrawal limits like those returned from maxWithdraw and should always act as though
     *   the withdrawal would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewWithdraw SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewWithdraw(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Burns shares from owner and sends exactly assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   withdraw execution, and are accounted for during withdraw.
     * - MUST revert if all of assets cannot be withdrawn (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * Note that some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function withdraw(uint256 assets, address receiver, address owner) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of Vault shares that can be redeemed from the owner balance in the Vault,
     * through a redeem call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST return balanceOf(owner) if owner is not subject to any withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxRedeem(address owner) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their redeemption at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of assets that would be withdrawn in a redeem call
     *   in the same transaction. I.e. redeem should return the same or more assets as previewRedeem if called in the
     *   same transaction.
     * - MUST NOT account for redemption limits like those returned from maxRedeem and should always act as though the
     *   redemption would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewRedeem SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by redeeming.
     */
    function previewRedeem(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Burns exactly shares from owner and sends assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   redeem execution, and are accounted for during redeem.
     * - MUST revert if all of shares cannot be redeemed (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * NOTE: some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function redeem(uint256 shares, address receiver, address owner) external returns (uint256 assets);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC5267.sol)

pragma solidity ^0.8.0;

interface IERC5267Upgradeable {
    /**
     * @dev MAY be emitted to signal that the domain could have changed.
     */
    event EIP712DomainChanged();

    /**
     * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
     * signature.
     */
    function eip712Domain()
        external
        view
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        );
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```solidity
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 *
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized != type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Returns the highest version that has been initialized. See {reinitializer}.
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

/**
 * @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 ReentrancyGuardUpgradeable is Initializable {
    // 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;

    function __ReentrancyGuard_init() internal onlyInitializing {
        __ReentrancyGuard_init_unchained();
    }

    function __ReentrancyGuard_init_unchained() internal onlyInitializing {
        _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;
    }

    /**
     * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
     * `nonReentrant` function in the call stack.
     */
    function _reentrancyGuardEntered() internal view returns (bool) {
        return _status == _ENTERED;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;

import "./IERC20Upgradeable.sol";
import "./extensions/IERC20MetadataUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
    mapping(address => uint256) private _balances;

    mapping(address => mapping(address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC20_init_unchained(name_, symbol_);
    }

    function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the default value returned by this function, unless
     * it's overridden.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address to, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address from, address to, uint256 amount) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, allowance(owner, spender) + addedValue);
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        address owner = _msgSender();
        uint256 currentAllowance = allowance(owner, spender);
        require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
        unchecked {
            _approve(owner, spender, currentAllowance - subtractedValue);
        }

        return true;
    }

    /**
     * @dev Moves `amount` of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     */
    function _transfer(address from, address to, uint256 amount) internal virtual {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
            // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
            // decrementing then incrementing.
            _balances[to] += amount;
        }

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply += amount;
        unchecked {
            // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
            _balances[account] += amount;
        }
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
            // Overflow not possible: amount <= accountBalance <= totalSupply.
            _totalSupply -= amount;
        }

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(address owner, address spender, uint256 amount) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(address owner, address spender, uint256 amount) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual {}

    /**
     * @dev Hook that is called after any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * has been transferred to `to`.
     * - when `from` is zero, `amount` tokens have been minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(address from, address to, uint256 amount) internal virtual {}

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[45] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/ERC20Permit.sol)

pragma solidity ^0.8.0;

import "./IERC20PermitUpgradeable.sol";
import "../ERC20Upgradeable.sol";
import "../../../utils/cryptography/ECDSAUpgradeable.sol";
import "../../../utils/cryptography/EIP712Upgradeable.sol";
import "../../../utils/CountersUpgradeable.sol";
import "../../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 *
 * _Available since v3.4._
 *
 * @custom:storage-size 51
 */
abstract contract ERC20PermitUpgradeable is Initializable, ERC20Upgradeable, IERC20PermitUpgradeable, EIP712Upgradeable {
    using CountersUpgradeable for CountersUpgradeable.Counter;

    mapping(address => CountersUpgradeable.Counter) private _nonces;

    // solhint-disable-next-line var-name-mixedcase
    bytes32 private constant _PERMIT_TYPEHASH =
        keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    /**
     * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`.
     * However, to ensure consistency with the upgradeable transpiler, we will continue
     * to reserve a slot.
     * @custom:oz-renamed-from _PERMIT_TYPEHASH
     */
    // solhint-disable-next-line var-name-mixedcase
    bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT;

    /**
     * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
     *
     * It's a good idea to use the same `name` that is defined as the ERC20 token name.
     */
    function __ERC20Permit_init(string memory name) internal onlyInitializing {
        __EIP712_init_unchained(name, "1");
    }

    function __ERC20Permit_init_unchained(string memory) internal onlyInitializing {}

    /**
     * @dev See {IERC20Permit-permit}.
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        require(block.timestamp <= deadline, "ERC20Permit: expired deadline");

        bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));

        bytes32 hash = _hashTypedDataV4(structHash);

        address signer = ECDSAUpgradeable.recover(hash, v, r, s);
        require(signer == owner, "ERC20Permit: invalid signature");

        _approve(owner, spender, value);
    }

    /**
     * @dev See {IERC20Permit-nonces}.
     */
    function nonces(address owner) public view virtual override returns (uint256) {
        return _nonces[owner].current();
    }

    /**
     * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view override returns (bytes32) {
        return _domainSeparatorV4();
    }

    /**
     * @dev "Consume a nonce": return the current value and increment.
     *
     * _Available since v4.1._
     */
    function _useNonce(address owner) internal virtual returns (uint256 current) {
        CountersUpgradeable.Counter storage nonce = _nonces[owner];
        current = nonce.current();
        nonce.increment();
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20MetadataUpgradeable is IERC20Upgradeable {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20PermitUpgradeable {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20Upgradeable {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 amount) external returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";
import "../extensions/IERC20PermitUpgradeable.sol";
import "../../../utils/AddressUpgradeable.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20Upgradeable {
    using AddressUpgradeable for address;

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20Upgradeable token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20Upgradeable token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20Upgradeable token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        require(
            (value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeIncreaseAllowance(IERC20Upgradeable token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeDecreaseAllowance(IERC20Upgradeable token, address spender, uint256 value) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     */
    function forceApprove(IERC20Upgradeable token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
     * Revert on invalid signature.
     */
    function safePermit(
        IERC20PermitUpgradeable token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20Upgradeable token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20Upgradeable token, bytes memory data) private returns (bool) {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
        // and not revert is the subcall reverts.

        (bool success, bytes memory returndata) = address(token).call(data);
        return
            success && (returndata.length == 0 || abi.decode(returndata, (bool))) && AddressUpgradeable.isContract(address(token));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract ContextUpgradeable is Initializable {
    function __Context_init() internal onlyInitializing {
    }

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)

pragma solidity ^0.8.0;

/**
 * @title Counters
 * @author Matt Condon (@shrugs)
 * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
 * of elements in a mapping, issuing ERC721 ids, or counting request ids.
 *
 * Include with `using Counters for Counters.Counter;`
 */
library CountersUpgradeable {
    struct Counter {
        // This variable should never be directly accessed by users of the library: interactions must be restricted to
        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
        // this feature: see https://github.com/ethereum/solidity/issues/4637
        uint256 _value; // default: 0
    }

    function current(Counter storage counter) internal view returns (uint256) {
        return counter._value;
    }

    function increment(Counter storage counter) internal {
        unchecked {
            counter._value += 1;
        }
    }

    function decrement(Counter storage counter) internal {
        uint256 value = counter._value;
        require(value > 0, "Counter: decrement overflow");
        unchecked {
            counter._value = value - 1;
        }
    }

    function reset(Counter storage counter) internal {
        counter._value = 0;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/ECDSA.sol)

pragma solidity ^0.8.0;

import "../StringsUpgradeable.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 ECDSAUpgradeable {
    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 message) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, "\x19Ethereum Signed Message:\n32")
            mstore(0x1c, hash)
            message := keccak256(0x00, 0x3c)
        }
    }

    /**
     * @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", StringsUpgradeable.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 data) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40)
            mstore(ptr, "\x19\x01")
            mstore(add(ptr, 0x02), domainSeparator)
            mstore(add(ptr, 0x22), structHash)
            data := keccak256(ptr, 0x42)
        }
    }

    /**
     * @dev Returns an Ethereum Signed Data with intended validator, created from a
     * `validator` and `data` according to the version 0 of EIP-191.
     *
     * See {recover}.
     */
    function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x00", validator, data));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/EIP712.sol)

pragma solidity ^0.8.8;

import "./ECDSAUpgradeable.sol";
import "../../interfaces/IERC5267Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
 *
 * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
 * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
 * they need in their contracts using a combination of `abi.encode` and `keccak256`.
 *
 * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
 * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
 * ({_hashTypedDataV4}).
 *
 * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
 * the chain id to protect against replay attacks on an eventual fork of the chain.
 *
 * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
 * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
 *
 * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
 * separator of the implementation contract. This will cause the `_domainSeparatorV4` function to always rebuild the
 * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
 *
 * _Available since v3.4._
 *
 * @custom:storage-size 52
 */
abstract contract EIP712Upgradeable is Initializable, IERC5267Upgradeable {
    bytes32 private constant _TYPE_HASH =
        keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");

    /// @custom:oz-renamed-from _HASHED_NAME
    bytes32 private _hashedName;
    /// @custom:oz-renamed-from _HASHED_VERSION
    bytes32 private _hashedVersion;

    string private _name;
    string private _version;

    /**
     * @dev Initializes the domain separator and parameter caches.
     *
     * The meaning of `name` and `version` is specified in
     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
     *
     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
     * - `version`: the current major version of the signing domain.
     *
     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
     * contract upgrade].
     */
    function __EIP712_init(string memory name, string memory version) internal onlyInitializing {
        __EIP712_init_unchained(name, version);
    }

    function __EIP712_init_unchained(string memory name, string memory version) internal onlyInitializing {
        _name = name;
        _version = version;

        // Reset prior values in storage if upgrading
        _hashedName = 0;
        _hashedVersion = 0;
    }

    /**
     * @dev Returns the domain separator for the current chain.
     */
    function _domainSeparatorV4() internal view returns (bytes32) {
        return _buildDomainSeparator();
    }

    function _buildDomainSeparator() private view returns (bytes32) {
        return keccak256(abi.encode(_TYPE_HASH, _EIP712NameHash(), _EIP712VersionHash(), block.chainid, address(this)));
    }

    /**
     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
     * function returns the hash of the fully encoded EIP712 message for this domain.
     *
     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
     *
     * ```solidity
     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
     *     keccak256("Mail(address to,string contents)"),
     *     mailTo,
     *     keccak256(bytes(mailContents))
     * )));
     * address signer = ECDSA.recover(digest, signature);
     * ```
     */
    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
        return ECDSAUpgradeable.toTypedDataHash(_domainSeparatorV4(), structHash);
    }

    /**
     * @dev See {EIP-5267}.
     *
     * _Available since v4.9._
     */
    function eip712Domain()
        public
        view
        virtual
        override
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        )
    {
        // If the hashed name and version in storage are non-zero, the contract hasn't been properly initialized
        // and the EIP712 domain is not reliable, as it will be missing name and version.
        require(_hashedName == 0 && _hashedVersion == 0, "EIP712: Uninitialized");

        return (
            hex"0f", // 01111
            _EIP712Name(),
            _EIP712Version(),
            block.chainid,
            address(this),
            bytes32(0),
            new uint256[](0)
        );
    }

    /**
     * @dev The name parameter for the EIP712 domain.
     *
     * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
     * are a concern.
     */
    function _EIP712Name() internal virtual view returns (string memory) {
        return _name;
    }

    /**
     * @dev The version parameter for the EIP712 domain.
     *
     * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
     * are a concern.
     */
    function _EIP712Version() internal virtual view returns (string memory) {
        return _version;
    }

    /**
     * @dev The hash of the name parameter for the EIP712 domain.
     *
     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Name` instead.
     */
    function _EIP712NameHash() internal view returns (bytes32) {
        string memory name = _EIP712Name();
        if (bytes(name).length > 0) {
            return keccak256(bytes(name));
        } else {
            // If the name is empty, the contract may have been upgraded without initializing the new storage.
            // We return the name hash in storage if non-zero, otherwise we assume the name is empty by design.
            bytes32 hashedName = _hashedName;
            if (hashedName != 0) {
                return hashedName;
            } else {
                return keccak256("");
            }
        }
    }

    /**
     * @dev The hash of the version parameter for the EIP712 domain.
     *
     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Version` instead.
     */
    function _EIP712VersionHash() internal view returns (bytes32) {
        string memory version = _EIP712Version();
        if (bytes(version).length > 0) {
            return keccak256(bytes(version));
        } else {
            // If the version is empty, the contract may have been upgraded without initializing the new storage.
            // We return the version hash in storage if non-zero, otherwise we assume the version is empty by design.
            bytes32 hashedVersion = _hashedVersion;
            if (hashedVersion != 0) {
                return hashedVersion;
            } else {
                return keccak256("");
            }
        }
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[48] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
    function __ERC165_init() internal onlyInitializing {
    }

    function __ERC165_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165Upgradeable).interfaceId;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165Upgradeable {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library MathUpgradeable {
    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) {
                // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                // The surrounding unchecked block does not change this fact.
                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1, "Math: mulDiv overflow");

            ///////////////////////////////////////////////
            // 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 256, 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 << 3) < 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 SafeCastUpgradeable {
    /**
     * @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/math/SignedMath.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMathUpgradeable {
    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two signed numbers without overflow.
     * The result is rounded towards zero.
     */
    function average(int256 a, int256 b) internal pure returns (int256) {
        // Formula from the book "Hacker's Delight"
        int256 x = (a & b) + ((a ^ b) >> 1);
        return x + (int256(uint256(x) >> 255) & (a ^ b));
    }

    /**
     * @dev Returns the absolute unsigned value of a signed value.
     */
    function abs(int256 n) internal pure returns (uint256) {
        unchecked {
            // must be unchecked in order to support `n = type(int256).min`
            return uint256(n >= 0 ? n : -n);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/MathUpgradeable.sol";
import "./math/SignedMathUpgradeable.sol";

/**
 * @dev String operations.
 */
library StringsUpgradeable {
    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 = MathUpgradeable.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 `int256` to its ASCII `string` decimal representation.
     */
    function toString(int256 value) internal pure returns (string memory) {
        return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMathUpgradeable.abs(value))));
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, MathUpgradeable.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);
    }

    /**
     * @dev Returns true if the two strings are equal.
     */
    function equal(string memory a, string memory b) internal pure returns (bool) {
        return keccak256(bytes(a)) == keccak256(bytes(b));
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

// solhint-disable no-inline-assembly

/// @dev A subset copied from the following contracts:
///
/// + `balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol`
/// + `balancer-labs/v2-solidity-utils/contracts/helpers/WordCodecHelpers.sol`
library WordCodec {
  /// @dev Inserts an unsigned integer of bitLength, shifted by an offset, into a 256 bit word,
  /// replacing the old value. Returns the new word.
  function insertUint(
    bytes32 word,
    uint256 value,
    uint256 offset,
    uint256 bitLength
  ) internal pure returns (bytes32 result) {
    // Equivalent to:
    // uint256 mask = (1 << bitLength) - 1;
    // bytes32 clearedWord = bytes32(uint256(word) & ~(mask << offset));
    // result = clearedWord | bytes32(value << offset);
    assembly {
      let mask := sub(shl(bitLength, 1), 1)
      let clearedWord := and(word, not(shl(offset, mask)))
      result := or(clearedWord, shl(offset, value))
    }
  }

  /// @dev Decodes and returns an unsigned integer with `bitLength` bits, shifted by an offset, from a 256 bit word.
  function decodeUint(
    bytes32 word,
    uint256 offset,
    uint256 bitLength
  ) internal pure returns (uint256 result) {
    // Equivalent to:
    // result = uint256(word >> offset) & ((1 << bitLength) - 1);
    assembly {
      result := and(shr(offset, word), sub(shl(bitLength, 1), 1))
    }
  }

  /// @dev Inserts a signed integer shifted by an offset into a 256 bit word, replacing the old value. Returns
  /// the new word.
  ///
  /// Assumes `value` can be represented using `bitLength` bits.
  function insertInt(
    bytes32 word,
    int256 value,
    uint256 offset,
    uint256 bitLength
  ) internal pure returns (bytes32) {
    unchecked {
      uint256 mask = (1 << bitLength) - 1;
      bytes32 clearedWord = bytes32(uint256(word) & ~(mask << offset));
      // Integer values need masking to remove the upper bits of negative values.
      return clearedWord | bytes32((uint256(value) & mask) << offset);
    }
  }

  /// @dev Decodes and returns a signed integer with `bitLength` bits, shifted by an offset, from a 256 bit word.
  function decodeInt(
    bytes32 word,
    uint256 offset,
    uint256 bitLength
  ) internal pure returns (int256 result) {
    unchecked {
      int256 maxInt = int256((1 << (bitLength - 1)) - 1);
      uint256 mask = (1 << bitLength) - 1;

      int256 value = int256(uint256(word >> offset) & mask);
      // In case the decoded value is greater than the max positive integer that can be represented with bitLength
      // bits, we know it was originally a negative integer. Therefore, we mask it to restore the sign in the 256 bit
      // representation.
      //
      // Equivalent to:
      // result = value > maxInt ? (value | int256(~mask)) : value;
      assembly {
        result := or(mul(gt(value, maxInt), not(mask)), value)
      }
    }
  }

  /// @dev Decodes and returns a boolean shifted by an offset from a 256 bit word.
  function decodeBool(bytes32 word, uint256 offset) internal pure returns (bool result) {
    // Equivalent to:
    // result = (uint256(word >> offset) & 1) == 1;
    assembly {
      result := and(shr(offset, word), 1)
    }
  }

  /// @dev Inserts a boolean value shifted by an offset into a 256 bit word, replacing the old value. Returns the new
  /// word.
  function insertBool(
    bytes32 word,
    bool value,
    uint256 offset
  ) internal pure returns (bytes32 result) {
    // Equivalent to:
    // bytes32 clearedWord = bytes32(uint256(word) & ~(1 << offset));
    // bytes32 referenceInsertBool = clearedWord | bytes32(uint256(value ? 1 : 0) << offset);
    assembly {
      let clearedWord := and(word, not(shl(offset, 1)))
      result := or(clearedWord, shl(offset, value))
    }
  }

  function clearWordAtPosition(
    bytes32 word,
    uint256 offset,
    uint256 bitLength
  ) internal pure returns (bytes32 clearedWord) {
    unchecked {
      uint256 mask = (1 << bitLength) - 1;
      clearedWord = bytes32(uint256(word) & ~(mask << offset));
    }
  }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { AccessControlUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/access/AccessControlUpgradeable.sol";

import { WordCodec } from "../codec/WordCodec.sol";

// solhint-disable no-inline-assembly

abstract contract CustomFeeRate is AccessControlUpgradeable {
  using WordCodec for bytes32;

  /**********
   * Events *
   **********/

  /// @notice Emitted when the default fee rate is updated.
  /// @param feeType The type of fee to set.
  /// @param oldRate The value of previous default fee rate, multiplied by 1e9.
  /// @param newRate The value of current default fee rate, multiplied by 1e9.
  event SetDefaultFeeRate(uint256 indexed feeType, uint32 oldRate, uint32 newRate);

  /// @notice Emitted when a fee customization is set.
  /// @param account The address of user to set.
  /// @param feeType The type of fee to set.
  /// @param rate The fee rate for the user, multiplied by 1e9.
  event SetCustomFeeRate(address indexed account, uint256 indexed feeType, uint32 rate);

  /// @notice Emitted when a fee customization is cancled.
  /// @param account The address of user to cancle.
  /// @param feeType The type of fee to cancle.
  event ResetCustomFeeRate(address indexed account, uint256 indexed feeType);

  /**********
   * Errors *
   **********/

  /// @dev Thrown when the fee type given is not in range `[0, 8)`.
  error FeeTypeTooLarge();

  /// @dev Thrown when the fee rate given exceed 100%.
  error FeeRateTooLarge();

  /*************
   * Constants *
   *************/

  /// @notice The role for setting custom fee.
  bytes32 public constant CUSTOM_FEE_RATIO_SETTER_ROLE = keccak256("CUSTOM_FEE_RATIO_SETTER_ROLE");

  /// @dev The fee denominator used for rate calculation.
  uint256 internal constant FEE_PRECISION = 1e9;

  /*************
   * Variables *
   *************/

  /// @dev `_defaultFeeData` is a storage slot that can be used to store different types of fee rate.
  ///
  /// All fee rate should not exceed the `FEE_PRECISION` which fits in to 32-bits unsigned integer.
  /// The *type 0 fee rate* is stored in the first most significant 32 bits, and the *type 1 fee rate* is
  /// stored in the next most significant 32 bits, and so on.
  ///
  /// [ type 0 fee rate | type 1 fee rate | ... | type 7 fee rate ]
  /// [     32 bits     |     32 bits     | ... |     32 bits     ]
  /// [ MSB                                                   LSB ]
  bytes32 private _defaultFeeData;

  /// @dev Mapping from user address to user customized fee data.
  ///
  /// All fee rate should not exceed the `FEE_PRECISION` which fits in to 31-bits unsigned integer. So
  /// we use an extra bit as the flag to show whether the fee type is customized for this user.
  ///
  /// The *type 0 fee rate* is stored in the first most significant 32 bits, and the *type 1 fee rate* is
  /// stored in the next most significant 32 bits, and so on.
  ///
  /// [ type 0 fee rate | type 1 fee rate | ... | type 7 fee rate ]
  /// [     32 bits     |     32 bits     | ... |     32 bits     ]
  /// [ MSB                                                   LSB ]
  mapping(address => bytes32) private _customFeeData;

  /// @dev reserved slots.
  uint256[48] private __gap;

  /*************************
   * Public View Functions *
   *************************/

  /// @notice Return the fee rate for the user
  /// @param _feeType The type of fee to query.
  /// @param _account The address of user to query.
  /// @return rate The rate of fee for the user, multiplied by 1e9.
  function getFeeRate(uint256 _feeType, address _account) public view returns (uint256 rate) {
    if (_feeType >= 8) revert FeeTypeTooLarge();

    unchecked {
      rate = _defaultFeeRate(_feeType);
      uint256 _customized = _customFeeData[_account].decodeUint(_feeType * 32, 32);
      if ((_customized & 1) == 1) {
        rate = _customized >> 1;
      }
    }
  }

  /************************
   * Restricted Functions *
   ************************/

  /// @notice Set the default fee rate of the given fee type.
  /// @param _feeType The fee type to update.
  /// @param _newRate The value of new fee rate.
  function setDefaultFeeRate(uint256 _feeType, uint32 _newRate) external onlyRole(CUSTOM_FEE_RATIO_SETTER_ROLE) {
    _validateFeeTypeAndRatio(_feeType, _newRate);

    uint32 _oldRate;
    unchecked {
      bytes32 _data = _defaultFeeData;
      uint256 _offset = _feeType * 32;
      _oldRate = uint32(_data.decodeUint(_offset, 32));
      _defaultFeeData = _data.insertUint(_newRate, _offset, 32);
    }

    emit SetDefaultFeeRate(_feeType, _oldRate, _newRate);
  }

  /// @notice Set the fee rate of the given fee type for some user.
  /// @param _account The address of the user to update.
  /// @param _feeType The fee type to update.
  /// @param _newRate The value of new fee rate.
  function setCustomFeeRate(
    address _account,
    uint256 _feeType,
    uint32 _newRate
  ) external onlyRole(CUSTOM_FEE_RATIO_SETTER_ROLE) {
    _validateFeeTypeAndRatio(_feeType, _newRate);

    unchecked {
      bytes32 _data = _customFeeData[_account];
      _customFeeData[_account] = _data.insertUint(((_newRate << 1) | 1), _feeType * 32, 32);
    }

    emit SetCustomFeeRate(_account, _feeType, _newRate);
  }

  /// @notice Reset the customized fee rate of the given fee type for some user.
  /// @param _account The address of the user to update.
  /// @param _feeType The fee type to update.
  function resetCustomFeeRate(address _account, uint256 _feeType) external onlyRole(CUSTOM_FEE_RATIO_SETTER_ROLE) {
    if (_feeType >= 8) revert FeeTypeTooLarge();

    unchecked {
      bytes32 _data = _customFeeData[_account];
      _customFeeData[_account] = _data.clearWordAtPosition(_feeType * 32, 32);
    }

    emit ResetCustomFeeRate(_account, _feeType);
  }

  /**********************
   * Internal Functions *
   **********************/

  /// @dev Internal function to validate the fee type and fee rate.
  /// @param _feeType The value of the fee type.
  /// @param _rate The value of the fee rate.
  function _validateFeeTypeAndRatio(uint256 _feeType, uint32 _rate) private pure {
    if (_feeType >= 8) revert FeeTypeTooLarge();
    if (_rate > FEE_PRECISION) revert FeeRateTooLarge();
  }

  /// @dev Internal function to return the default fee rate for certain type.
  ///
  /// @param _feeType The type of fee to query.
  /// @return rate The default rate of fee, multiplied by 1e9
  function _defaultFeeRate(uint256 _feeType) internal view virtual returns (uint32 rate) {
    unchecked {
      rate = uint32(_defaultFeeData.decodeUint(_feeType * 32, 32));
    }
  }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IRewardDistributor {
  /**********
   * Events *
   **********/

  /// @notice Emitted when a reward token is deposited.
  ///
  /// @param amount The amount of reward token deposited.
  event DepositReward(uint256 amount);

  /*************************
   * Public View Functions *
   *************************/

  /// @notice Return the address of reward token.
  function rewardToken() external view returns (address);

  /// @notice Return the amount of pending distributed rewards in current period.
  /// @return distributable The amount of reward token can be distributed in current period.
  /// @return undistributed The amount of reward token still locked in current period.
  function pendingRewards() external view returns (uint256 distributable, uint256 undistributed);

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @notice Deposit new rewards to this contract.
  ///
  /// @param amount The amount of new rewards.
  function depositReward(uint256 amount) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { SafeCastUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/utils/math/SafeCastUpgradeable.sol";

// solhint-disable not-rely-on-time

library LinearReward {
  using SafeCastUpgradeable for uint256;

  /// @dev Compiler will pack this into single `uint256`.
  /// Usually, we assume the amount of rewards won't exceed `uint96.max`.
  /// In such case, the rate won't exceed `uint80.max`, since `periodLength` is at least `86400`.
  /// Also `uint40.max` is enough for timestamp, which is about 30000 years.
  struct RewardData {
    // The amount of rewards pending to distribute.
    uint96 queued;
    // The current reward rate per second.
    uint80 rate;
    // The last timestamp when the reward is distributed.
    uint40 lastUpdate;
    // The timestamp when this period will finish.
    uint40 finishAt;
  }

  /// @dev Add new rewards to current one. It is possible that the rewards will not distribute immediately.
  /// The rewards will be only distributed when current period is end or the current increase or
  /// decrease no more than 10%.
  ///
  /// @param _data The struct of reward data, will be modified inplace.
  /// @param _periodLength The length of a period, caller should make sure it is at least `86400`.
  /// @param _amount The amount of new rewards to distribute.
  function increase(
    RewardData memory _data,
    uint256 _periodLength,
    uint256 _amount
  ) internal view {
    _amount = _amount + _data.queued;
    _data.queued = 0;

    if (block.timestamp >= _data.finishAt) {
      // period finished, distribute to next period
      _data.rate = (_amount / _periodLength).toUint80();
      _data.queued = uint96(_amount - (_data.rate * _periodLength)); // keep rounding error
      _data.lastUpdate = uint40(block.timestamp);
      _data.finishAt = uint40(block.timestamp + _periodLength);
    } else {
      uint256 _elapsed = block.timestamp - (_data.finishAt - _periodLength);
      uint256 _distributed = uint256(_data.rate) * _elapsed;
      if (_distributed * 9 <= _amount * 10) {
        // APR increase or drop no more than 10%, distribute
        _amount = _amount + uint256(_data.rate) * (_data.finishAt - _data.lastUpdate);
        _data.rate = (_amount / _periodLength).toUint80();
        _data.queued = uint96(_amount - (_data.rate * _periodLength)); // keep rounding error
        _data.lastUpdate = uint40(block.timestamp);
        _data.finishAt = uint40(block.timestamp + _periodLength);
        _data.lastUpdate = uint40(block.timestamp);
      } else {
        // APR drop more than 10%, wait for more rewards
        _data.queued = _amount.toUint96();
      }
    }
  }

  /// @dev Return the amount of pending distributed rewards in current period.
  ///
  /// @param _data The struct of reward data.
  function pending(RewardData memory _data) internal view returns (uint256, uint256) {
    uint256 _elapsed;
    uint256 _left;
    if (block.timestamp > _data.finishAt) {
      // finishAt >= lastUpdate will happen, if `_notifyReward` is not called during current period.
      _elapsed = _data.finishAt >= _data.lastUpdate ? _data.finishAt - _data.lastUpdate : 0;
    } else {
      unchecked {
        _elapsed = block.timestamp - _data.lastUpdate;
        _left = uint256(_data.finishAt) - block.timestamp;
      }
    }

    return (uint256(_data.rate) * _elapsed, uint256(_data.rate) * _left);
  }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { AccessControlUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/access/AccessControlUpgradeable.sol";
import { IERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/IERC20Upgradeable.sol";
import { SafeERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/utils/SafeERC20Upgradeable.sol";

import { IRewardDistributor } from "./IRewardDistributor.sol";
import { LinearReward } from "./LinearReward.sol";

// solhint-disable no-empty-blocks
// solhint-disable not-rely-on-time

abstract contract LinearRewardDistributor is AccessControlUpgradeable, IRewardDistributor {
  using SafeERC20Upgradeable for IERC20Upgradeable;

  using LinearReward for LinearReward.RewardData;

  /*************
   * Constants *
   *************/

  /// @notice The role used to deposit rewards.
  bytes32 public constant REWARD_DEPOSITOR_ROLE = keccak256("REWARD_DEPOSITOR_ROLE");

  /// @notice The length of reward period in seconds.
  /// @dev If the value is zero, the reward will be distributed immediately.
  /// It is either zero or at least 1 day (which is 86400).
  uint40 public immutable periodLength;

  /*************
   * Variables *
   *************/

  /// @notice The linear distribution reward data.
  LinearReward.RewardData public rewardData;

  /// @inheritdoc IRewardDistributor
  address public override rewardToken;

  /// @dev reserved slots.
  uint256[48] private __gap;

  /***************
   * Constructor *
   ***************/

  constructor(uint40 _periodLength) {
    require(_periodLength == 0 || (_periodLength >= 1 days && _periodLength <= 28 days), "invalid period length");

    periodLength = _periodLength;
  }

  // solhint-disable-next-line func-name-mixedcase
  function __LinearRewardDistributor_init(address _rewardToken) internal onlyInitializing {
    rewardToken = _rewardToken;
  }

  /*************************
   * Public View Functions *
   *************************/

  /// @inheritdoc IRewardDistributor
  function pendingRewards() public view override returns (uint256, uint256) {
    return rewardData.pending();
  }

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @inheritdoc IRewardDistributor
  function depositReward(uint256 _amount) external override onlyRole(REWARD_DEPOSITOR_ROLE) {
    if (_amount > 0) {
      IERC20Upgradeable(rewardToken).safeTransferFrom(msg.sender, address(this), _amount);
    }

    _distributePendingReward();

    _notifyReward(_amount);

    _afterRewardDeposit(_amount);

    emit DepositReward(_amount);
  }

  /**********************
   * Internal Functions *
   **********************/

  /// @dev Internal function to notify new rewards.
  ///
  /// @param _amount The amount of new rewards.
  function _notifyReward(uint256 _amount) internal {
    if (periodLength == 0) {
      _accumulateReward(_amount);
    } else {
      LinearReward.RewardData memory _data = rewardData;
      _data.increase(periodLength, _amount);
      rewardData = _data;
    }
  }

  /// @dev Internal function to distribute all pending reward tokens.
  function _distributePendingReward() internal {
    if (periodLength == 0) return;

    (uint256 _pending, ) = rewardData.pending();
    rewardData.lastUpdate = uint40(block.timestamp);

    if (_pending > 0) {
      _accumulateReward(_pending);
    }
  }

  /// @dev Internal function to accumulate distributed rewards.
  ///
  /// @param _amount The amount of rewards to accumulate.
  function _accumulateReward(uint256 _amount) internal virtual;

  /// @dev The hook for the deposited rewards.
  /// @param _amount The amount of rewards deposited.
  function _afterRewardDeposit(uint256 _amount) internal virtual {}
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { AccessControlUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/access/AccessControlUpgradeable.sol";

import { WordCodec } from "../common/codec/WordCodec.sol";

import { IConcentratorBase } from "../interfaces/concentrator/IConcentratorBase.sol";

// solhint-disable func-name-mixedcase
// solhint-disable no-inline-assembly

abstract contract ConcentratorBaseV2 is AccessControlUpgradeable, IConcentratorBase {
  using WordCodec for bytes32;

  /*************
   * Constants *
   *************/

  /// @dev The fee denominator used for rate calculation.
  uint256 internal constant RATE_PRECISION = 1e9;

  /// @dev The maximum expense ratio.
  uint256 private constant MAX_EXPENSE_RATIO = 5e8; // 50%

  /// @dev The maximum harvester ratio.
  uint256 private constant MAX_HARVESTER_RATIO = 1e8; // 20%

  /// @dev The maximum withdraw fee percentage.
  uint256 private constant MAX_WITHDRAW_FEE_PERCENTAGE = 1e8; // 10%

  /// @dev The offset of expense ratio in `_miscData`.
  uint256 private constant EXPENSE_RATIO_OFFSET = 0;

  /// @dev The offset of harvester ratio in `_miscData`.
  uint256 private constant HARVESTER_RATIO_OFFSET = 30;

  /// @dev The offset of withdraw fee percentage in `_miscData`.
  uint256 private constant WITHDRAW_FEE_PERCENTAGE_OFFSET = 60;

  /*************
   * Variables *
   *************/

  /// @inheritdoc IConcentratorBase
  address public treasury;

  /// @inheritdoc IConcentratorBase
  address public harvester;

  /// @inheritdoc IConcentratorBase
  address public converter;

  /// @dev `_miscData` is a storage slot that can be used to store unrelated pieces of information.
  /// All pools store the *expense ratio*, *harvester ratio* and *withdraw fee percentage*, but
  /// the `miscData`can be extended to store more pieces of information.
  ///
  /// The *expense ratio* is stored in the first most significant 32 bits, and the *harvester ratio* is
  /// stored in the next most significant 32 bits, and the *withdraw fee percentage* is stored in the
  /// next most significant 32 bits, leaving the remaining 160 bits free to store any other information
  /// derived pools might need.
  ///
  /// - The *expense ratio* and *harvester ratio* are charged each time when harvester harvest the pool revenue.
  /// - The *withdraw fee percentage* is charged each time when user try to withdraw assets from the pool.
  ///
  /// [ expense ratio | harvester ratio | withdraw fee | available ]
  /// [    30 bits    |     30 bits     |   30  bits   |  166 bits ]
  /// [ MSB                                                    LSB ]
  bytes32 internal _miscData;

  /// @dev reserved slots.
  uint256[46] private __gap;

  /*************
   * Modifiers *
   *************/

  modifier onlyHarvester() {
    address _harvester = harvester;
    if (_harvester != address(0) && _harvester != _msgSender()) {
      revert CallerIsNotHarvester();
    }
    _;
  }

  /***************
   * Constructor *
   ***************/

  function __ConcentratorBaseV2_init(
    address _treasury,
    address _harvester,
    address _converter
  ) internal onlyInitializing {
    _updateTreasury(_treasury);
    _updateHarvester(_harvester);
    _updateConverter(_converter);
  }

  /*************************
   * Public View Functions *
   *************************/

  /// @inheritdoc IConcentratorBase
  function getExpenseRatio() public view override returns (uint256) {
    return _miscData.decodeUint(EXPENSE_RATIO_OFFSET, 30);
  }

  /// @inheritdoc IConcentratorBase
  function getHarvesterRatio() public view override returns (uint256) {
    return _miscData.decodeUint(HARVESTER_RATIO_OFFSET, 30);
  }

  /// @inheritdoc IConcentratorBase
  function getWithdrawFeePercentage() public view override returns (uint256) {
    return _miscData.decodeUint(WITHDRAW_FEE_PERCENTAGE_OFFSET, 30);
  }

  /************************
   * Restricted Functions *
   ************************/

  /// @notice Update the address of treasury contract.
  ///
  /// @param _newTreasury The address of the new treasury contract.
  function updateTreasury(address _newTreasury) external onlyRole(DEFAULT_ADMIN_ROLE) {
    _updateTreasury(_newTreasury);
  }

  /// @notice Update the address of harvester contract.
  ///
  /// @param _newHarvester The address of the new harvester contract.
  function updateHarvester(address _newHarvester) external onlyRole(DEFAULT_ADMIN_ROLE) {
    _updateHarvester(_newHarvester);
  }

  /// @notice Update the address of converter contract.
  ///
  /// @param _newConverter The address of the new converter contract.
  function updateConverter(address _newConverter) external onlyRole(DEFAULT_ADMIN_ROLE) {
    _updateConverter(_newConverter);
  }

  /// @notice Update the fee ratio distributed to treasury.
  /// @param _newRatio The new ratio to update, multiplied by 1e9.
  function updateExpenseRatio(uint32 _newRatio) external onlyRole(DEFAULT_ADMIN_ROLE) {
    if (uint256(_newRatio) > MAX_EXPENSE_RATIO) {
      revert ExpenseRatioTooLarge();
    }

    bytes32 _data = _miscData;
    uint256 _oldRatio = _miscData.decodeUint(EXPENSE_RATIO_OFFSET, 30);
    _miscData = _data.insertUint(_newRatio, EXPENSE_RATIO_OFFSET, 30);

    emit UpdateExpenseRatio(_oldRatio, _newRatio);
  }

  /// @notice Update the fee ratio distributed to harvester.
  /// @param _newRatio The new ratio to update, multiplied by 1e9.
  function updateHarvesterRatio(uint32 _newRatio) external onlyRole(DEFAULT_ADMIN_ROLE) {
    if (uint256(_newRatio) > MAX_HARVESTER_RATIO) {
      revert HarvesterRatioTooLarge();
    }

    bytes32 _data = _miscData;
    uint256 _oldRatio = _miscData.decodeUint(HARVESTER_RATIO_OFFSET, 30);
    _miscData = _data.insertUint(_newRatio, HARVESTER_RATIO_OFFSET, 30);

    emit UpdateHarvesterRatio(_oldRatio, _newRatio);
  }

  /// @notice Update the withdraw fee percentage
  /// @param _newPercentage The new ratio to update, multiplied by 1e9.
  function updateWithdrawFeePercentage(uint32 _newPercentage) external onlyRole(DEFAULT_ADMIN_ROLE) {
    if (uint256(_newPercentage) > MAX_WITHDRAW_FEE_PERCENTAGE) {
      revert WithdrawFeePercentageTooLarge();
    }

    bytes32 _data = _miscData;
    uint256 _oldPercentage = _miscData.decodeUint(WITHDRAW_FEE_PERCENTAGE_OFFSET, 30);
    _miscData = _data.insertUint(_newPercentage, WITHDRAW_FEE_PERCENTAGE_OFFSET, 30);

    emit UpdateWithdrawFeePercentage(_oldPercentage, _newPercentage);
  }

  /**********************
   * Internal Functions *
   **********************/

  /// @dev Internal function to update the address of treasury contract.
  ///
  /// @param _newTreasury The address of the new treasury contract.
  function _updateTreasury(address _newTreasury) private {
    if (_newTreasury == address(0)) revert TreasuryIsZero();

    address _oldTreasury = treasury;
    treasury = _newTreasury;

    emit UpdateTreasury(_oldTreasury, _newTreasury);
  }

  /// @dev Internal function to update the address of harvester contract.
  ///
  /// @param _newHarvester The address of the new harvester contract.
  function _updateHarvester(address _newHarvester) private {
    address _oldHarvester = harvester;
    harvester = _newHarvester;

    emit UpdateHarvester(_oldHarvester, _newHarvester);
  }

  /// @dev Internal function to update the address of converter contract.
  ///
  /// @param _newConverter The address of the new converter contract.
  function _updateConverter(address _newConverter) private {
    if (_newConverter == address(0)) revert ConverterIsZero();

    address _oldConverter = converter;
    converter = _newConverter;

    emit UpdateConverter(_oldConverter, _newConverter);
  }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { IERC4626Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/interfaces/IERC4626Upgradeable.sol";
import { ReentrancyGuardUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/security/ReentrancyGuardUpgradeable.sol";
import { ERC20PermitUpgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/extensions/ERC20PermitUpgradeable.sol";
import { SafeERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/utils/SafeERC20Upgradeable.sol";
import { IERC20Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/token/ERC20/IERC20Upgradeable.sol";

import { CustomFeeRate } from "../common/fees/CustomFeeRate.sol";
import { LinearRewardDistributor } from "../common/rewards/distributor/LinearRewardDistributor.sol";
import { ConcentratorBaseV2 } from "./ConcentratorBaseV2.sol";

import { IConcentratorCompounder } from "../interfaces/concentrator/IConcentratorCompounder.sol";
import { IConcentratorStrategy } from "../interfaces/concentrator/IConcentratorStrategy.sol";

// solhint-disable func-name-mixedcase
// solhint-disable no-empty-blocks

abstract contract ConcentratorCompounderBase is
  ReentrancyGuardUpgradeable,
  ERC20PermitUpgradeable,
  ConcentratorBaseV2,
  CustomFeeRate,
  LinearRewardDistributor,
  IConcentratorCompounder
{
  using SafeERC20Upgradeable for IERC20Upgradeable;

  /*************
   * Constants *
   *************/

  /// @dev The fee type for withdrawal.
  uint256 private constant WITHDRAWAL_FEE_TYPE = 0;

  /*************
   * Variables *
   *************/

  /// @inheritdoc IERC4626Upgradeable
  uint256 public override totalAssets;

  /// @inheritdoc IConcentratorCompounder
  address public override strategy;

  /// @dev reserved slots.
  uint256[48] private __gap;

  /***************
   * Constructor *
   ***************/

  function __ConcentratorCompounderBase_init(address _strategy) internal onlyInitializing {
    strategy = _strategy;
  }

  /*************************
   * Public View Functions *
   *************************/

  /// @inheritdoc IERC4626Upgradeable
  function asset() external view override returns (address) {
    return _getAsset();
  }

  /// @inheritdoc IERC4626Upgradeable
  function convertToShares(uint256 _assets) public view override returns (uint256) {
    uint256 _totalAssets = totalAssets;
    if (_totalAssets == 0) return _assets;

    uint256 _totalShares = totalSupply();
    return (_totalShares * _assets) / _totalAssets;
  }

  /// @inheritdoc IERC4626Upgradeable
  function convertToAssets(uint256 _shares) public view override returns (uint256) {
    uint256 _totalShares = totalSupply();
    if (_totalShares == 0) return _shares;

    uint256 _totalAssets = totalAssets;
    return (_totalAssets * _shares) / _totalShares;
  }

  /// @inheritdoc IERC4626Upgradeable
  function maxDeposit(address) external pure override returns (uint256) {
    return type(uint256).max;
  }

  /// @inheritdoc IERC4626Upgradeable
  function previewDeposit(uint256 _assets) external view override returns (uint256) {
    return convertToShares(_assets);
  }

  /// @inheritdoc IERC4626Upgradeable
  function maxMint(address) external pure override returns (uint256) {
    return type(uint256).max;
  }

  /// @inheritdoc IERC4626Upgradeable
  function previewMint(uint256 _shares) external view override returns (uint256) {
    return convertToAssets(_shares);
  }

  /// @inheritdoc IERC4626Upgradeable
  function maxWithdraw(address) external pure override returns (uint256) {
    return type(uint256).max;
  }

  /// @inheritdoc IERC4626Upgradeable
  function previewWithdraw(uint256 _assets) external view override returns (uint256) {
    uint256 _totalAssets = totalAssets;
    if (_assets > _totalAssets) revert WithdrawExceedTotalAssets();

    uint256 _shares = convertToShares(_assets);
    if (_assets == _totalAssets) {
      return _shares;
    } else {
      unchecked {
        return (_shares * FEE_PRECISION) / (FEE_PRECISION - getWithdrawFeePercentage());
      }
    }
  }

  /// @inheritdoc IERC4626Upgradeable
  function maxRedeem(address) external pure override returns (uint256) {
    return type(uint256).max;
  }

  /// @inheritdoc IERC4626Upgradeable
  function previewRedeem(uint256 _shares) external view override returns (uint256) {
    uint256 _totalShares = totalSupply();
    if (_shares > _totalShares) revert RedeemExceedTotalSupply();

    uint256 _assets = convertToAssets(_shares);
    if (_shares == _totalShares) {
      return _assets;
    } else {
      unchecked {
        uint256 _withdrawFee = (_assets * getWithdrawFeePercentage()) / FEE_PRECISION;
        return _assets - _withdrawFee;
      }
    }
  }

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @inheritdoc IERC4626Upgradeable
  ///
  /// @dev If the caller wants to deposit all held tokens, use `_assets=type(uint256).max`.
  function deposit(uint256 _assets, address _receiver) external override nonReentrant returns (uint256) {
    _distributePendingReward();

    address _owner = _msgSender();
    if (_assets == type(uint256).max) {
      _assets = IERC20Upgradeable(_getAsset()).balanceOf(_owner);
    }

    return _deposit(_assets, _receiver, _owner);
  }

  /// @inheritdoc IERC4626Upgradeable
  function mint(uint256 _shares, address _receiver) external override nonReentrant returns (uint256) {
    _distributePendingReward();

    uint256 _assets = convertToAssets(_shares);

    _deposit(_assets, _receiver, _msgSender());
    return _assets;
  }

  /// @inheritdoc IERC4626Upgradeable
  ///
  /// @dev If the caller wants to withdraw all held shares, use `_assets=type(uint256).max`.
  function withdraw(
    uint256 _assets,
    address _receiver,
    address _owner
  ) external override nonReentrant returns (uint256) {
    _distributePendingReward();

    if (_assets == type(uint256).max) {
      _assets = convertToAssets(balanceOf(_owner));
    }

    uint256 _totalAssets = totalAssets;
    if (_assets > _totalAssets) revert WithdrawExceedTotalAssets();

    uint256 _shares = convertToShares(_assets);
    if (_assets < _totalAssets) {
      uint256 _withdrawPercentage = getFeeRate(WITHDRAWAL_FEE_TYPE, _owner);
      unchecked {
        _shares = (_shares * FEE_PRECISION) / (FEE_PRECISION - _withdrawPercentage);
      }
    }

    address _caller = _msgSender();
    if (_caller != _owner) {
      _spendAllowance(_owner, _caller, _shares);
    }

    _withdraw(_shares, _receiver, _owner);
    return _shares;
  }

  /// @inheritdoc IERC4626Upgradeable
  ///
  /// @dev If the caller wants to withdraw all held shares, use `_shares=type(uint256).max`.
  function redeem(
    uint256 _shares,
    address _receiver,
    address _owner
  ) external override nonReentrant returns (uint256) {
    _distributePendingReward();

    if (_shares == type(uint256).max) {
      _shares = balanceOf(_owner);
    }

    address _caller = _msgSender();
    if (_caller != _owner) {
      _spendAllowance(_owner, _caller, _shares);
    }

    return _withdraw(_shares, _receiver, _owner);
  }

  /// @inheritdoc IConcentratorCompounder
  function checkpoint() external nonReentrant {
    _distributePendingReward();
  }

  /// @inheritdoc IConcentratorCompounder
  function harvest(address _receiver, uint256 _minAssets)
    external
    override
    nonReentrant
    onlyHarvester
    returns (uint256 _assets)
  {
    _distributePendingReward();

    _assets = IConcentratorStrategy(strategy).harvest(converter, _getIntermediateToken());
    if (_assets < _minAssets) revert InsufficientHarvestedAssets();

    uint256 _totalAssets = totalAssets;
    uint256 _totalShares = totalSupply();

    // @note The shares minted to treasury and harvester will be a little more than the actual percentage,
    // since we are doing the minting before the rewards distribution. But it is ok with us.
    uint256 _performanceFee;
    uint256 _expenseRatio = getExpenseRatio();
    if (_expenseRatio > 0) {
      _performanceFee = (_assets * _expenseRatio) / FEE_PRECISION;
      _mint(treasury, (_performanceFee * _totalShares) / _totalAssets);
    }

    uint256 _harvesterBounty;
    uint256 _harvesterRatio = getHarvesterRatio();
    if (_harvesterRatio > 0) {
      _harvesterBounty = (_assets * _harvesterRatio) / FEE_PRECISION;
      _mint(_receiver, (_harvesterBounty * _totalShares) / _totalAssets);
    }

    emit Harvest(_msgSender(), _receiver, _assets, _performanceFee, _harvesterBounty);

    unchecked {
      totalAssets = _totalAssets + _performanceFee + _harvesterBounty;
      _notifyReward(_assets - _performanceFee - _harvesterBounty);
    }
  }

  /************************
   * Restricted Functions *
   ************************/

  /// @inheritdoc IConcentratorCompounder
  function migrateStrategy(address _newStrategy) external onlyRole(DEFAULT_ADMIN_ROLE) {
    if (_newStrategy == address(0)) revert StrategyIsZero();

    // This is the actual assets deposited into strategy.
    (uint256 _distributable, uint256 _undistributed) = pendingRewards();
    uint256 _totalAssets = totalAssets + _distributable + _undistributed + rewardData.queued;

    address _oldStrategy = strategy;
    strategy = _newStrategy;

    IConcentratorStrategy(_oldStrategy).prepareMigrate(_newStrategy);
    IConcentratorStrategy(_oldStrategy).withdraw(_newStrategy, _totalAssets);
    IConcentratorStrategy(_oldStrategy).finishMigrate(_newStrategy);

    IConcentratorStrategy(_newStrategy).deposit(address(this), _totalAssets);

    emit Migrate(_oldStrategy, _newStrategy);
  }

  /**********************
   * Internal Functions *
   **********************/

  /// @inheritdoc CustomFeeRate
  function _defaultFeeRate(uint256 _feeType) internal view virtual override returns (uint32) {
    if (_feeType == WITHDRAWAL_FEE_TYPE) return uint32(getWithdrawFeePercentage());
    else return CustomFeeRate._defaultFeeRate(_feeType);
  }

  /// @inheritdoc LinearRewardDistributor
  /// @dev This function will deposit the underlying assets to strategy to generate yields.
  /// It will also make sure no underlying assets are left in this contract.
  function _afterRewardDeposit(uint256 _amount) internal virtual override {
    if (_amount > 0) {
      address _strategy = strategy;
      IERC20Upgradeable(_getAsset()).safeTransfer(strategy, _amount);
      IConcentratorStrategy(_strategy).deposit(address(this), _amount);
    }
  }

  /// @inheritdoc LinearRewardDistributor
  function _accumulateReward(uint256 _amount) internal virtual override {
    if (_amount > 0) {
      unchecked {
        totalAssets += _amount;
      }
    }
  }

  /// @dev Internal function to mint pool share for someone.
  ///
  /// The caller should make sure `_distributePendingReward` is called before.
  ///
  /// @param _receiver The address of account who will receive the pool share.
  /// @param _assets The amount of assets used to mint new shares.
  /// @return _shares the amount of pool shares to be received.
  function _mintShare(address _receiver, uint256 _assets) internal returns (uint256 _shares) {
    uint256 _totalAssets = totalAssets;
    uint256 _totalShares = totalSupply();

    if (_totalAssets == 0) {
      _shares = _assets;
    } else {
      _shares = (_assets * _totalShares) / _totalAssets;
    }

    _mint(_receiver, _shares);

    unchecked {
      totalAssets = _totalAssets + _assets;
    }
  }

  /// @dev Internal function to burn pool share.
  ///
  /// The caller should make sure `_distributePendingReward` is called before.
  ///
  /// @param _owner The address of user to withdraw from.
  /// @param _shares The amount of pool share to burn.
  /// @return _assets The amount of underlying assets to be received.
  function _burnShare(address _owner, uint256 _shares) internal returns (uint256 _assets) {
    uint256 _totalAssets = totalAssets;
    uint256 _totalShares = totalSupply();

    _burn(_owner, _shares);

    _assets = (_shares * _totalAssets) / _totalShares;
    if (_totalShares != _shares) {
      // take withdraw fee if it is not the last user.
      uint256 _withdrawPercentage = getFeeRate(WITHDRAWAL_FEE_TYPE, _owner);
      unchecked {
        uint256 _withdrawFee = (_assets * _withdrawPercentage) / FEE_PRECISION;
        _assets = _assets - _withdrawFee;
      }
    } else {
      // @note If it is the last user, some extra rewards still pending.
      // We just ignore it for now.
    }

    unchecked {
      // it should never overflow
      totalAssets = _totalAssets - _assets;
    }
  }

  /// @dev Internal function to deposit assets and transfer to `_receiver`.
  ///
  /// - If the address of `_owner` is zero, we assume the assets are already
  ///   transfered to strategy and deposited.
  /// - If the address of `_owner` is `strategy`, we assume the assets are
  ///   already transfered to strategy and but not deposited.
  ///
  /// @param _assets The amount of asset to deposit.
  /// @param _receiver The address of account who will receive the pool share.
  /// @param _owner The address of user who provides the assets.
  /// @return _shares The amount of pool shares to be received.
  function _deposit(
    uint256 _assets,
    address _receiver,
    address _owner
  ) internal virtual returns (uint256 _shares) {
    if (_assets == 0) revert DepositZeroAmount();

    if (_owner != address(0)) {
      address _strategy = strategy;
      if (_owner == address(this)) {
        // It is cheaper use `transfer` when `_owner` is `address(this)`.
        IERC20Upgradeable(_getAsset()).safeTransfer(_strategy, _assets);
      } else if (_owner != _strategy) {
        IERC20Upgradeable(_getAsset()).safeTransferFrom(_owner, _strategy, _assets);
      }
      IConcentratorStrategy(_strategy).deposit(_receiver, _assets);
    }

    _shares = _mintShare(_receiver, _assets);

    emit Deposit(_msgSender(), _receiver, _assets, _shares);
  }

  /// @dev Internal function to withdraw assets from `_owner` and transfer to `_receiver`.
  /// @param _shares The amount of pool share to burn.
  /// @param _receiver The address of account who will receive the assets.
  /// @param _owner The address of user to withdraw from.
  /// @return _assets The amount of underlying assets to be received.
  function _withdraw(
    uint256 _shares,
    address _receiver,
    address _owner
  ) internal virtual returns (uint256 _assets) {
    if (_shares == 0) revert WithdrawZeroShare();

    _assets = _burnShare(_owner, _shares);

    IConcentratorStrategy(strategy).withdraw(_receiver, _assets);

    emit Withdraw(_msgSender(), _receiver, _owner, _assets, _shares);
  }

  /// @dev return the underlying asset token.
  function _getAsset() internal view virtual returns (address);

  /// @dev return the intermediate token. It is used for underlying strategy contract.
  function _getIntermediateToken() internal view virtual returns (address);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IConcentratorBase {
  /**********
   * Events *
   **********/

  /// @notice Emitted when the treasury contract is updated.
  ///
  /// @param oldTreasury The address of the previous treasury contract.
  /// @param newTreasury The address of the current treasury contract.
  event UpdateTreasury(address indexed oldTreasury, address indexed newTreasury);

  /// @notice Emitted when the harvester contract is updated.
  ///
  /// @param oldHarvester The address of the previous harvester contract.
  /// @param newHarvester The address of the current harvester contract.
  event UpdateHarvester(address indexed oldHarvester, address indexed newHarvester);

  /// @notice Emitted when the converter contract is updated.
  ///
  /// @param oldConverter The address of the previous converter contract.
  /// @param newConverter The address of the current converter contract.
  event UpdateConverter(address indexed oldConverter, address indexed newConverter);

  /// @notice Emitted when the ratio for treasury is updated.
  /// @param oldRatio The value of the previous ratio, multipled by 1e9.
  /// @param newRatio The value of the current ratio, multipled by 1e9.
  event UpdateExpenseRatio(uint256 oldRatio, uint256 newRatio);

  /// @notice Emitted when the ratio for harvester is updated.
  /// @param oldRatio The value of the previous ratio, multipled by 1e9.
  /// @param newRatio The value of the current ratio, multipled by 1e9.
  event UpdateHarvesterRatio(uint256 oldRatio, uint256 newRatio);

  /// @notice Emitted when the fee percentage for withdrawal is updated.
  /// @param oldPercentage The value of the previous fee percentage, multipled by 1e9.
  /// @param newPercentage The value of the current fee percentage, multipled by 1e9.
  event UpdateWithdrawFeePercentage(uint256 oldPercentage, uint256 newPercentage);

  /**********
   * Errors *
   **********/

  /// @dev Thrown when caller is not harvester and try to call some harvester only functions.
  error CallerIsNotHarvester();

  /// @dev Thrown when the address of converter contract is zero.
  error ConverterIsZero();

  /// @dev Thrown when the address of treasury contract is zero.
  error TreasuryIsZero();

  /// @dev Thrown when the expense ratio exceeds `MAX_EXPENSE_RATIO`.
  error ExpenseRatioTooLarge();

  /// @dev Thrown when the harvester ratio exceeds `MAX_HARVESTER_RATIO`.
  error HarvesterRatioTooLarge();

  /// @dev Thrown when the withdraw fee percentage exceeds `MAX_WITHDRAW_FEE_PERCENTAGE`.
  error WithdrawFeePercentageTooLarge();

  /*************************
   * Public View Functions *
   *************************/

  /// @notice The address of protocol revenue holder.
  function treasury() external view returns (address);

  /// @notice The address of harvester contract.
  function harvester() external view returns (address);

  /// @notice The address of converter contract.
  function converter() external view returns (address);

  /// @notice Return the fee ratio distributed to treasury, multipled by 1e9.
  function getExpenseRatio() external view returns (uint256);

  /// @notice Return the fee ratio distributed to harvester, multipled by 1e9.
  function getHarvesterRatio() external view returns (uint256);

  /// @notice Return the withdraw fee percentage, multipled by 1e9.
  function getWithdrawFeePercentage() external view returns (uint256);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

import { IERC4626Upgradeable } from "@openzeppelin/contracts-upgradeable-v4/interfaces/IERC4626Upgradeable.sol";

import { IRewardDistributor } from "../../common/rewards/distributor/IRewardDistributor.sol";
import { IConcentratorBase } from "./IConcentratorBase.sol";

interface IConcentratorCompounder is IERC4626Upgradeable, IConcentratorBase, IRewardDistributor {
  /**********
   * Events *
   **********/

  /// @notice Emitted when pool assets migrated.
  ///
  /// @param oldStrategy The address of old strategy.
  /// @param newStrategy The address of current strategy.
  event Migrate(address indexed oldStrategy, address indexed newStrategy);

  /// @notice Emitted when someone harvests pending rewards.
  /// @param caller The address who call the function.
  /// @param receiver The address of account to recieve the harvest bounty.
  /// @param assets The total amount of underlying asset harvested.
  /// @param performanceFee The amount of harvested assets as performance fee.
  /// @param harvesterBounty The amount of harvested assets as harvester bounty.
  event Harvest(
    address indexed caller,
    address indexed receiver,
    uint256 assets,
    uint256 performanceFee,
    uint256 harvesterBounty
  );

  /**********
   * Errors *
   **********/

  /// @dev Thrown when deposit amount is zero.
  error DepositZeroAmount();

  /// @dev Thrown when withdraw share is zero.
  error WithdrawZeroShare();

  /// @dev Thrown when user try to withdraw assets more than the total assets.
  error WithdrawExceedTotalAssets();

  /// @dev Thrown when user try to redeem shares more than the total supply.
  error RedeemExceedTotalSupply();

  /// @dev Thrown when the harvested assets is not enough compared to off-chain computation.
  error InsufficientHarvestedAssets();

  /// @dev Thrown when try to migrate to a zero strategy contract.
  error StrategyIsZero();

  /*************************
   * Public View Functions *
   *************************/

  /// @notice Return the address of underlying strategy contract.
  function strategy() external view returns (address);

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @notice External function to force distribute pending reward.
  function checkpoint() external;

  /// @notice Harvest rewards and convert to underlying asset.
  ///
  /// @param receiver The address of account to recieve the harvest bounty.
  /// @param minAssets The minimum amount of underlying asset harvested.
  /// @return assets The total amount of underlying asset harvested.
  function harvest(address receiver, uint256 minAssets) external returns (uint256 assets);

  /// @notice Migrate pool assets to new strategy.
  /// @param newStrategy The address of new strategy.
  function migrateStrategy(address newStrategy) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0 || ^0.8.0;

interface IConcentratorStrategy {
  /// @notice Return then name of the strategy.
  function name() external view returns (string memory);

  /// @notice Update the list of reward tokens.
  /// @param _rewards The address list of reward tokens to update.
  function updateRewards(address[] memory _rewards) external;

  /// @notice Deposit token to corresponding strategy.
  /// @dev Requirements:
  ///   + Caller should make sure the token is already transfered into the strategy contract.
  ///   + Caller should make sure the deposit amount is greater than zero.
  ///
  /// @param _recipient The address of recipient who will receive the share.
  /// @param _amount The amount of token to deposit.
  function deposit(address _recipient, uint256 _amount) external;

  /// @notice Withdraw underlying token or yield token from corresponding strategy.
  /// @dev Requirements:
  ///   + Caller should make sure the withdraw amount is greater than zero.
  ///
  /// @param _recipient The address of recipient who will receive the token.
  /// @param _amount The amount of token to withdraw.
  function withdraw(address _recipient, uint256 _amount) external;

  /// @notice Harvest possible rewards from strategy.
  ///
  /// @param _zapper The address of zap contract used to zap rewards.
  /// @param _intermediate The address of intermediate token to zap.
  /// @return amount The amount of corresponding reward token.
  function harvest(address _zapper, address _intermediate) external returns (uint256 amount);

  /// @notice Emergency function to execute arbitrary call.
  /// @dev This function should be only used in case of emergency. It should never be called explicitly
  ///  in any contract in normal case.
  ///
  /// @param _to The address of target contract to call.
  /// @param _value The value passed to the target contract.
  /// @param _data The calldata pseed to the target contract.
  function execute(
    address _to,
    uint256 _value,
    bytes calldata _data
  ) external payable returns (bool, bytes memory);

  /// @notice Do some extra work before migration.
  /// @param _newStrategy The address of new strategy.
  function prepareMigrate(address _newStrategy) external;

  /// @notice Do some extra work after migration.
  /// @param _newStrategy The address of new strategy.
  function finishMigrate(address _newStrategy) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

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

interface ICvxFxnCompounder is IConcentratorCompounder {
  /**********
   * Errors *
   **********/

  /// @dev Thrown when the shares minted is not enough compared to off-chain computation.
  error InsufficientShares();

  /****************************
   * Public Mutated Functions *
   ****************************/

  /// @notice Deposit stkCvxFxn into the contract.
  ///
  /// @param assets The amount of stkCvxFxn to desposit.
  /// @param receiver The address of account who will receive the pool share.
  /// @return shares The amount of pool shares received.
  function depositWithStkCvxFxn(uint256 assets, address receiver) external returns (uint256 shares);

  /// @notice Deposit FXN into the contract.
  ///
  /// @param assets The amount of FXN to desposit.
  /// @param receiver The address of account who will receive the pool share.
  /// @param _minShares The minimum amount of share to receive.
  /// @return shares The amount of pool shares received.
  function depositWithFXN(
    uint256 assets,
    address receiver,
    uint256 _minShares
  ) external returns (uint256 shares);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;

interface IConvexFXNDepositor {
  //deposit fxn for cvxfxn
  function deposit(uint256 _amount, bool _lock) external;

  function depositAll(bool _lock) external;

  function lockFxn() external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0 || ^0.8.0;

// solhint-disable var-name-mixedcase, func-name-mixedcase
interface ICurveFactoryPlainPool {
  function remove_liquidity_one_coin(
    uint256 token_amount,
    int128 i,
    uint256 min_amount
  ) external returns (uint256);

  function calc_withdraw_one_coin(uint256 _token_amount, int128 i) external view returns (uint256);

  function exchange(
    int128 i,
    int128 j,
    uint256 _dx,
    uint256 _min_dy,
    address _receiver
  ) external returns (uint256);

  function get_dy(
    int128 i,
    int128 j,
    uint256 dx
  ) external view returns (uint256);

  function coins(uint256 index) external view returns (address);

  function balances(uint256 index) external view returns (uint256);

  function A_precise() external view returns (uint256);

  function fee() external view returns (uint256);
}

/// @dev This is the interface of Curve Factory Plain Pool with 2 tokens, examples:
interface ICurveFactoryPlain2Pool is ICurveFactoryPlainPool {
  function add_liquidity(uint256[2] memory amounts, uint256 min_mint_amount) external returns (uint256);

  function calc_token_amount(uint256[2] memory amounts, bool _is_deposit) external view returns (uint256);
}

/// @dev This is the interface of Curve Factory Plain Pool with 3 tokens, examples:
interface ICurveFactoryPlain3Pool is ICurveFactoryPlainPool {
  function add_liquidity(uint256[3] memory amounts, uint256 min_mint_amount) external returns (uint256);

  function calc_token_amount(uint256[3] memory amounts, bool _is_deposit) external view returns (uint256);
}

/// @dev This is the interface of Curve Factory Plain Pool with 4 tokens, examples:
interface ICurveFactoryPlain4Pool is ICurveFactoryPlainPool {
  function add_liquidity(uint256[4] memory amounts, uint256 min_mint_amount) external returns (uint256);

  function calc_token_amount(uint256[4] memory amounts, bool _is_deposit) external view returns (uint256);
}

{
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "evmVersion": "shanghai",
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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0000000000000000000000000000000000000000000000000000000000093a80

-----Decoded View---------------
Arg [0] : _periodLength (uint40): 604800

-----Encoded View---------------
1 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000093a80