Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta
• Remix IDE

More Options

• Similar
• Sol2Uml
• Submit Audit
• Compare

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

pragma solidity ^0.8.7;

import "./tStorage.sol";
import "../utils/Ownership.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";
import "@openzeppelin/contracts-upgradeable/governance/utils/VotesUpgradeable.sol";
import "@openzeppelin/contracts/utils/math/SafeCast.sol";
import "@solmate/src/utils/FixedPointMathLib.sol";

/**
 * @title stFlip token contract
 * @notice This is the token contract for StakedFLIP. It is backed 1:1 by native FLIP. 
 * It is rebasing and also a voting token. After each transfer, a new checkpoint is added via `votesUpgradeable` which we have modified to automatically
 * self-delegate every address and disable delegation to every address, thus the latest checkpoint is the
 * shares for a given address. This fork is here: https://github.com/thunderhead-labs/openzeppelin-contracts-upgradeable.
 * The changes are trivial. `shares` is the representation used for balance in storage,
 * although the real balance multiplies shares by totalSupply/totalShares. totalSupply linearly increases after 
 * the Rebaser calls syncSupply which starts a new reward distribution interval. Shares have 24 decimals while actual balance has 18 decimals
 * this is to avoid rounding issues when dealing with 1 wei of balance. Relevant sources: https://forum.openzeppelin.com/t/self-delegation-in-erc20votes/17501/17 and 
 * https://github.com/aragon/osx/blob/a52bbae69f78e74d6a17647370ccfa2f2ea9bbf0/packages/contracts/src/token/ERC20/governance/GovernanceERC20.sol#L113
 */
contract stFlip is Initializable, Ownership, TokenStorage, VotesUpgradeable {
    using FixedPointMathLib for uint256;
    constructor() {
        _disableInitializers();
    }

    /**
     * @notice Event emitted when tokens are rebased
     */
    event Rebase(uint256 epoch, uint256 currentSupply, uint256 newSupply, uint256 rebaseInterval);

    /* - ERC20 Events - */

    /**
     * @notice EIP20 Transfer event
     */
    event Transfer(address indexed from, address indexed to, uint amount);

    /**
     * @notice EIP20 Approval event
     */
    event Approval(address indexed owner, address indexed spender, uint amount);

    /* - Extra Events - */
    /**
     * @notice Tokens minted event
     */
    event Mint(address to, uint256 amount);

    error TransferIsPaused();

    error MintIsPaused();

    error BurnIsPaused();

    error RebaseIsPaused();


    /**
     * Modifier to ensure token is not paused from transferring
     */
    modifier notTransferPaused() {
        if (transferPaused == true) {
            revert TransferIsPaused();
        }
        _;
    }

    /**
     * Modifier to ensure token is not paused from minting
     */
    modifier notMintPaused() {
        if (mintPaused == true) {
            revert MintIsPaused();
        }
        _;
    }

    /**
     * Modifier to ensure token is not paused from burning
     */
    modifier notBurnPaused() {
        if (burnPaused == true) {
            revert BurnIsPaused();
        }
        _;
    }

    /**
     * Modifier to ensure rebase are not paused
     */
    modifier notRebasePaused() {
        if (rebasePaused == true) {
            revert RebaseIsPaused();
        }
        _;
    }

    
    /**
     * Sets initial initialization parameters
     * @param name_ Token name (Staked Chainflip)
     * @param symbol_ Token symbol (stFLIP)
     * @param decimals_ Decimals (18)
     * @param gov_ Governance address
     * @param initialSupply_ Initial supply (0)
     */
    function initialize(string memory name_, string memory symbol_, uint8 decimals_, address gov_, uint256 initialSupply_, address burner, address minter, address rebaser) initializer public {
        name = name_;
        symbol = symbol_;
        decimals = decimals_;

        preSyncSupply = SafeCast.toUint96(initialSupply_);
        rewardsToSync = 0;
        syncEnd = SafeCast.toUint32(block.timestamp);
        syncStart = SafeCast.toUint32(block.timestamp);

        _transfer(address(0), gov_, initialSupply_);
        __AccessControlDefaultAdminRules_init(0, gov_);
        _grantRole(REBASER_ROLE, gov_);
        _grantRole(MINTER_ROLE, gov_);
        _grantRole(PAUSER_ROLE, gov_);


        _grantRole(BURNER_ROLE, burner);
        _grantRole(MINTER_ROLE, minter);
        _grantRole(MINTER_ROLE, rebaser);
        _grantRole(REBASER_ROLE, rebaser);

    }


    /**
    * @notice Sets transfer pause status 
    * @dev Necessary incase an operator messes up claim timing
    * or oracle is wrong
    */
    function pauseTransfer(bool status) external onlyRole(PAUSER_ROLE) returns (bool) {
        transferPaused = status;
        return true;
    }

    /**
    * @notice Sets mint pause status 
    */
    function pauseMint(bool status) external onlyRole(PAUSER_ROLE) returns (bool) {
        mintPaused = status;
        return true;
    }

    /**
    * @notice Sets burn pause status
    */
    function pauseBurn(bool status) external onlyRole(PAUSER_ROLE) returns (bool) {
        burnPaused = status;
        return true;
    }

    /**
    * @notice Sets rebase pause status
    */
    function pauseRebase(bool status) external onlyRole(PAUSER_ROLE) returns (bool) {
        rebasePaused = status;
        return true;
    }


    /**`
    * @notice Mints new tokens, increasing totalSupply, initSupply, and a users balance.
    * @dev Limited to onlyMinter modifier
    */
    function mint(address to, uint256 amount) external onlyRole(MINTER_ROLE) notMintPaused returns (bool) {
        _mint(to, amount);
        return true;
    }

    /**
     * Mint functions
     * @param to Address to mint to
     * @param amount Amount to mint
     */
    function _mint(address to, uint256 amount) internal {

        _transfer(address(0), to, amount);

        emit Mint(to, amount);
    }

    /**
     * Internal function to handle transfers/mints/burns
     * @param from address to decrease balance
     * @param to address to increase balance
     * @param amount balance delta
     * @dev _transferVotingRights handles the checkpointing functionality
     * within `VotesUpgradeable`. If the `to` or `from` address is zero address
     * then the function will increment/decrement total supply depending on whether
     * it is a mint or a burn. If it is just a normal transfer then it will append a new 
     * checkpoint to the `from` address and the `to` address with their new balances. Rewards
     * are not high enough to have to worry about preSyncSupply underflowing. 
     */
    function _transfer(address from, address to, uint256 amount) internal {

        uint256 shares = _balanceToShares(amount);

        if (from == address(0)) {
            preSyncSupply += SafeCast.toUint96(amount);
        } else if (to == address(0)) {
            preSyncSupply -= SafeCast.toUint96(amount);
        }

        _transferVotingUnits(from, to, shares);

        emit Transfer(from, to, amount);
    }

    /**
    * @dev Transfer tokens to a specified address.
    * @param to The address to transfer to.
    * @param value The amount to be transferred.
    * @return True on success, false otherwise.
    */
    function transfer(address to, uint256 value) external notTransferPaused returns (bool) {

        _transfer(msg.sender, to, value);

        return true;
    }

    /**
     * Burn tokens
     * @param value Amount to burn
     * @param refundee Address to burn from
     */
    function burn(uint256 value, address refundee) external notBurnPaused onlyRole(BURNER_ROLE) returns (bool) {
        _burn(value, refundee);
        return true;
    } 

    /**
     * Burn tokens
     * @param value Amount to burn
     * @param refundee Address to burn from
     * @dev Only the burner contract can burn tokens.
     */
    function _burn(uint256 value, address refundee) internal {
        _transfer(refundee, address(0), value);
    }
    /**
    * @dev Transfer tokens from one address to another.
    * @param from The address you want to send tokens from.
    * @param to The address you want to transfer to.
    * @param value The amount of tokens to be transferred.
    */
    function transferFrom(address from, address to, uint256 value) external notTransferPaused returns (bool) {
        // decrease allowance
        _allowedBalances[from][msg.sender] = _allowedBalances[from][msg.sender] - value;

        _transfer(from, to, value);

        return true;
    }

    /**
    * @param who The address to query.
    * @return The balance of the specified address.
    */
    function balanceOf(address who) external view returns (uint256) {
        return _balanceOf(who);
    }

    /**
     * Queries balance of address
     * @param who The address to query
     * @dev This retrieves the underlying shares from `VotesUpgradeable`
     * which is the value of the latest balance checkpoint. It is then converted
     * to actual balance
     */
    function _balanceOf(address who) internal view returns (uint256) {
        return _sharesToBalance(super.getVotes(who));
    }

    /** @notice Currently returns the internal storage amount
    * @param who The address to query.
    * @return The underlying shares of the specified address.
    */
    function sharesOf(address who) external view returns (uint256) {
        return super.getVotes(who);
    }

    /**
     * @dev Function to check the amount of tokens that an owner has allowed to a spender.
     * @param owner_ The address which owns the funds.
     * @param spender The address which will spend the funds.
     * @return The number of tokens still available for the spender.
     */
    function allowance(address owner_, address spender) external view returns (uint256) {
        return _allowedBalances[owner_][spender];
    }

    /**
     * @dev Approve the passed address to spend the specified amount of tokens on behalf of
     * msg.sender. This method is included for ERC20 compatibility.
     * @param spender The address which will spend the funds.
     * @param value The amount of tokens to be spent.
     */
    function approve(address spender, uint256 value) external returns (bool) {
        _allowedBalances[msg.sender][spender] = value;
        emit Approval(msg.sender, spender, value);
        return true;
    }

    /**
     * Function called by rebaser that will initiate a new rewards distribution
     * @param epoch Used for event
     * @param newSupply Value to set the new supply to
     * @param syncInterval Time for the token to reach the `newSupply`
     * If the newSupply is less than current supply (a slash), we will set this as the newSupply
     * without an interval. If the supply exceeds, then we will set the preSyncSupply to the current 
     * supply and adjust rewardsToSync to sync the delta over the syncInterval. Interruptions to a sync
     * interval can be handled fine, but the Rebaser can only rebase every syncInterval in any case.  
     */
    function syncSupply(uint256 epoch, uint256 newSupply, uint256 syncInterval) external onlyRole(REBASER_ROLE) notRebasePaused returns (bool) {
        uint256 currentSupply = _totalSupply();

        if (newSupply < currentSupply) {
            preSyncSupply = SafeCast.toUint96(newSupply);
            rewardsToSync = 0;
            syncEnd       = SafeCast.toUint32(block.timestamp);
            syncStart     = SafeCast.toUint32(block.timestamp);
        } else {
            preSyncSupply = SafeCast.toUint96(currentSupply);
            rewardsToSync = SafeCast.toUint96(newSupply - currentSupply);
            syncEnd       = SafeCast.toUint32(block.timestamp + syncInterval);
            syncStart     = SafeCast.toUint32(block.timestamp);
        }

        emit Rebase(epoch, currentSupply, newSupply, syncInterval);

        return true;
    }

    /**
     * Converts from actual balance to underlying shares
     * @param balance Balance value to convert
     * @dev Keep in mind that one unit of balance is 18 decimals 
     * while one unit of share is 24 decimals. 
     */
    function balanceToShares(uint256 balance) external view returns (uint256) {
        return _balanceToShares(balance);
    }

    /**
     * Converts from underlying shares to actual balance
     * @param shares Share value to convert
     * @dev Keep in mind that one unit of balance is 18 decimals 
     * while one unit of share is 24 decimals. 
     */
    function sharesToBalance(uint256 shares) external view returns (uint256) {
        return _sharesToBalance(shares);
    }

    /**
     * @param balance Balance value to convert
     * @dev We divide total shares by total supply to get the balance/shares conversion factor.
     * We use raw total supply to avoid intermediate rounding error.
     */
    function _balanceToShares(uint256 balance) internal view returns (uint256) {
        uint256 totalShares = _getTotalSupply();
        return totalShares == 0 ? balance * balanceToShareDecimals :  balance.mulDivDown(totalShares * balanceToShareDecimals,  _totalSupplyRaw()) ; //mulDivDown(totalShares * 10**18, _totalSupplyRaw());
    }

    /**
     * @param shares Share value to convert
     * @dev We divide total supply by total shares to get the shares/balance conversion factor.
     * Raw total supply used to avoid intermediate rounding error. 
     */
    function _sharesToBalance(uint256 shares) internal view returns (uint256) {
        uint256 totalShares = _getTotalSupply();
        return totalShares == 0 ? shares / balanceToShareDecimals : shares.mulDivDown( _totalSupplyRaw(), totalShares * balanceToShareDecimals);        //.mulDivDown(_totalSupplyRaw(),totalShares * 10**24);
    }

    /**
     * Gives the amount of balance (18 decimals) per share (24 decimals)
     */
    function balancePerShare() external view returns (uint256) {
        return _sharesToBalance(shareDecimals);
    }

    /**
     * Perform rescues in case they are needed
     * @param token token address
     * @param to recipient address
     * @param amount amount
     */
    function rescueTokens(address token, address to, uint256 amount) external onlyRole(DEFAULT_ADMIN_ROLE) returns (bool) {
        IERC20(token).transfer(to, amount);
        return true;
    }

    /**
     * Returns the components to calculate the total supply
     * @dev This function allows us to calculate stuff with total
     * supply while avoiding intermediate rounding error. The actual 
     * total supply is preSyncSupply + rewardsNumerator/rewardsDenominator
     * We return the components of the fraction separately. This function 
     * also linearly increases the totalSupply over the syncInterval so rewards
     * are distributed monotonically
     * @return preSyncSupply
     * @return rewardsNumerator
     * @return rewardsDenominator
     */
    function _totalSupplyComponents() internal view returns (uint256, uint256, uint256) {
        uint32 blockTimestamp = SafeCast.toUint32(block.timestamp);
        uint32 syncEnd_ = syncEnd;
        uint32 syncStart_ = syncStart;
        uint96 preSyncSupply_ = preSyncSupply;
        uint96 rewardsToSync_ = rewardsToSync;
        
        if (blockTimestamp >= syncEnd_) {
            return (preSyncSupply_, rewardsToSync_, 1);
        }

        if (blockTimestamp == syncStart_) {
            return (preSyncSupply_, 0 ,1);
        }

        uint256 rewardsNumerator = uint256(rewardsToSync_) * (blockTimestamp - syncStart_);
        uint256 rewardsDenominator = (syncEnd_ - syncStart_);
        return (preSyncSupply_, rewardsNumerator, rewardsDenominator);
    }

    /**
     * @dev Returns total supply to 24 decimals for share calculations
     */
    function _totalSupplyRaw() internal view returns (uint256) {
        (uint256 a, uint256 b, uint256 c) = _totalSupplyComponents();
        return a*balanceToShareDecimals + b.mulDivDown(balanceToShareDecimals, c);
    }

    function totalSupplyRaw() external view returns (uint256) {
        return _totalSupplyRaw();
    }

    /**
     * @dev returns the total supply to 18 deciamls for public consumption
     */
    function _totalSupply() internal view returns (uint256) {
        return _totalSupplyRaw() / balanceToShareDecimals;
    }

    /**
     * Public getter for total supply of stFLIP
     */
    function totalSupply() external view returns (uint256) {
        return _totalSupply();
    }

    /**
     * Public getter for total shares of stFLIP
     */
    function totalShares() external view returns (uint256) {
        return _getTotalSupply();
    }

    /**
     * Overriding the clock set in `VotesUpgradeable` since
     * GovernorOmega uses timestamp
     */
    function clock() public view override returns (uint48) {
        return uint48(block.timestamp);
    }

    // solhint-disable-next-line func-name-mixedcase
    function CLOCK_MODE() public pure override returns (string memory) {
        return "mode=timestamp";
    }

    function balanceOf(address account, uint256 timepoint) external view returns (uint256) {
        return getPastVotes(account, timepoint);
    }

    function getVotes(address account, uint256 timepoint) external view returns (uint256) {
        return getPastVotes(account, timepoint);
    }

    function totalSupplyAt(uint256 timepoint) external view returns (uint256) {
        return getPastTotalSupply(timepoint);
    }

    function newSnapshotTime(uint256 snapshot) external onlyRole(GOVERNOR_ROLE) returns (bool) {
        lastSnapshotTime = SafeCast.toUint32(snapshot);
        return true;
    }

    function delegate(address) external {}
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.20;


import "@openzeppelin/contracts/utils/math/Math.sol";
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";


// Storage for a YAM token
contract TokenStorage {

    /**
     * @notice EIP-20 token name for this token
     */
    string public name;

    /**
     * @notice EIP-20 token symbol for this token
     */
    string public symbol;

    /**
     * @notice EIP-20 token decimals for this token
     */
    uint8 public decimals;

    /**
     * @notice Whether transfers are paused
     */
    bool public transferPaused;

    /**
     * @notice Whether transfers are paused
     */
    bool public mintPaused;

    /**
     * @notice Whether transfers are paused
     */
    bool public burnPaused;

    /**
     * @notice Whether rebase are paused
     */
    bool public rebasePaused;

    /**
     * @notice Last proposal start period
     */
    uint32 public lastSnapshotTime;

    /**
     * @notice Decimal difference between shares and actual balance
     */
    uint256 public constant balanceToShareDecimals = 10**6;

    /**
     * @notice One share unit
     */
    uint256 public constant shareDecimals = 10**24;

    /**
     * @notice Map of token allowances
     */
    mapping (address => mapping (address => uint256)) internal _allowedBalances;

    /**
     * @notice The last timestamp that `syncSupply` was called
     * @dev Set to uint32 so balance calcs can use 1 sload
     */
    uint32 public syncStart;

    /**
     * @notice The end of the current reward distribution interval
     * @dev Set to uint32 so balance calcs can use 1 sload
     */
    uint32 public syncEnd;

    /**
     * @notice The `totalSupply` at `syncStart`
     * @dev Set to uint96 for balance calculations to use 1 ssload
     */
    uint96 public preSyncSupply;

    /**
     * @notice The amount of rewards to distribute over the interval
     * @dev Set to uint96 for balance calculations to use 1 ssload
     */
    uint96 public rewardsToSync;

    uint256[45] private __gap;
}

// Thunderhead: https://github.com/thunderhead-labs


// Author(s)
// Addison Spiegel: https://addison.is
// Pierre Spiegel: https://pierre.wtf

pragma solidity 0.8.20;

import "@openzeppelin/contracts-upgradeable/access/AccessControlDefaultAdminRulesUpgradeable.sol";


/**
 * @title Ownership contract for stFLIP
 * @notice Contains all the roles that the contracts have
 */
contract Ownership is AccessControlDefaultAdminRulesUpgradeable {
    bytes32 public constant GOVERNOR_ROLE = keccak256("GOVERNOR_ROLE");
    bytes32 public constant MANAGER_ROLE = keccak256("MANAGER_ROLE");
    bytes32 public constant FEE_RECIPIENT_ROLE = keccak256("FEE_RECIPIENT_ROLE");
    bytes32 public constant REBASER_ROLE = keccak256("REBASER_ROLE");
    bytes32 public constant MINTER_ROLE = keccak256("MINTER_ROLE");
    bytes32 public constant BURNER_ROLE = keccak256("BURNER_ROLE");
    bytes32 public constant PAUSER_ROLE = keccak256("PAUSER_ROLE");
}

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

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/IERC20Permit.sol";
import "../../../utils/Address.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 SafeERC20 {
    using Address 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(IERC20 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(IERC20 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(IERC20 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(IERC20 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(IERC20 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(IERC20 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(
        IERC20Permit 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(IERC20 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(IERC20 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))) && Address.isContract(address(token));
    }
}

// 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) (governance/utils/Votes.sol)
pragma solidity ^0.8.0;

import "../../interfaces/IERC5805Upgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../utils/CountersUpgradeable.sol";
import "../../utils/CheckpointsUpgradeable.sol";
import "../../utils/cryptography/EIP712Upgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev This is a base abstract contract that tracks voting units, which are a measure of voting power that can be
 * transferred, and provides a system of vote delegation, where an account can delegate its voting units to a sort of
 * "representative" that will pool delegated voting units from different accounts and can then use it to vote in
 * decisions. In fact, voting units _must_ be delegated in order to count as actual votes, and an account has to
 * delegate those votes to itself if it wishes to participate in decisions and does not have a trusted representative.
 *
 * This contract is often combined with a token contract such that voting units correspond to token units. For an
 * example, see {ERC721Votes}.
 *
 * The full history of delegate votes is tracked on-chain so that governance protocols can consider votes as distributed
 * at a particular block number to protect against flash loans and double voting. The opt-in delegate system makes the
 * cost of this history tracking optional.
 *
 * When using this module the derived contract must implement {_getVotingUnits} (for example, make it return
 * {ERC721-balanceOf}), and can use {_transferVotingUnits} to track a change in the distribution of those units (in the
 * previous example, it would be included in {ERC721-_beforeTokenTransfer}).
 *4 insertions 45 deletions
 * _Available since v4.5._
 *  
 * FORK INFORMATION
 * This contract has been modified for use in thunderhead-labs/stflip-contracts. stFLIP is an LST that also serves as a voting
 * token in governance to ensure it remains non-custodial. Voting should not be opt-in to ensure users keep control.
 * 
 * Modifications made in order of appearance:
 * 1. No longer inherits `ContextUpgradeable, EIP712Upgradeable, IERC5805Upgradeable` since it does not fit those interfaces
 * anymore
 * 2. Removed `_DELEGATION_TYPEHASH, _delegation, _nonces` since delegation is disabled. The "delegate" for an address is itself
 * 3. Removed functions `_delegate, delegateBySig, delegate` since delegation is disabled
 * 4. Modified `delegates(address who)` to always return `who`
 * 5. Changed `_moveDelegateVotes(delegates(from), delegates(to), amount)` to `_moveDelegateVotes(from, to, amount)` since an address delegates to itself
 * 6. Removed `DelegateVotesChanged` emission in `_moveDelegateVotes` since `Transfer` makes it redundant
 * 7. Removed functions `_useNonce, nonces, DOMAIN_SEPARATOR, _getVotingUnits` since delegation is disabled
 * 8. Increased __gap length by 2 to account for previously removed variables
 * 
 * This change is 4/45 source insertions and deletions respectively
 */
abstract contract VotesUpgradeable is Initializable, IERC5805Upgradeable {
    function __Votes_init() internal onlyInitializing {
    }

    function __Votes_init_unchained() internal onlyInitializing {
    }
    using CheckpointsUpgradeable for CheckpointsUpgradeable.Trace224;

    /// @custom:oz-retyped-from mapping(address => Checkpoints.History)
    mapping(address => CheckpointsUpgradeable.Trace224) private _delegateCheckpoints;

    /// @custom:oz-retyped-from Checkpoints.History
    CheckpointsUpgradeable.Trace224 private _totalCheckpoints;

    /**
     * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based
     * checkpoints (and voting), in which case {CLOCK_MODE} should be overridden as well to match.
     */
    function clock() public view virtual override returns (uint48) {
        return SafeCastUpgradeable.toUint48(block.number);
    }

    /**
     * @dev Machine-readable description of the clock as specified in EIP-6372.
     */
    // solhint-disable-next-line func-name-mixedcase
    function CLOCK_MODE() public view virtual override returns (string memory) {
        // Check that the clock was not modified
        require(clock() == block.number, "Votes: broken clock mode");
        return "mode=blocknumber&from=default";
    }

    /**
     * @dev Returns the current amount of votes that `account` has.
     */
    function getVotes(address account) public view virtual override returns (uint256) {
        return _delegateCheckpoints[account].latest();
    }

    /**
     * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     *
     * Requirements:
     *
     * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
     */
    function getPastVotes(address account, uint256 timepoint) public view virtual override returns (uint256) {
        require(timepoint < clock(), "Votes: future lookup");
        return _delegateCheckpoints[account].upperLookupRecent(SafeCastUpgradeable.toUint32(timepoint));
    }

    /**
     * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     *
     * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
     * Votes that have not been delegated are still part of total supply, even though they would not participate in a
     * vote.
     *
     * Requirements:
     *
     * - `timepoint` must be in the past. If operating using block numbers, the block must be already mined.
     */
    function getPastTotalSupply(uint256 timepoint) public view virtual override returns (uint256) {
        require(timepoint < clock(), "Votes: future lookup");
        return _totalCheckpoints.upperLookupRecent(SafeCastUpgradeable.toUint32(timepoint));
    }

    /**
     * @dev Returns the current total supply of votes.
     */
    function _getTotalSupply() internal view virtual returns (uint256) {
        return _totalCheckpoints.latest();
    }

    /**
     * @dev Returns the delegate that `account` has chosen.
     */
    function delegates(address account) public view virtual override returns (address) {
        return account;
    }

    /**
     * @dev Transfers, mints, or burns voting units. To register a mint, `from` should be zero. To register a burn, `to`
     * should be zero. Total supply of voting units will be adjusted with mints and burns.
     */
    function _transferVotingUnits(address from, address to, uint256 amount) internal virtual {
        if (from == address(0)) {
            _push(_totalCheckpoints, _add, SafeCastUpgradeable.toUint224(amount));
        }
        if (to == address(0)) {
            _push(_totalCheckpoints, _subtract, SafeCastUpgradeable.toUint224(amount));
        }
        _moveDelegateVotes(from, to, amount);
    }

    /**
     * @dev Moves delegated votes from one delegate to another.
     */
    function _moveDelegateVotes(address from, address to, uint256 amount) private {
        if (from != to && amount > 0) {
            if (from != address(0)) {
                (uint256 oldValue, uint256 newValue) = _push(
                    _delegateCheckpoints[from],
                    _subtract,
                    SafeCastUpgradeable.toUint224(amount)
                );
            }
            if (to != address(0)) {
                (uint256 oldValue, uint256 newValue) = _push(
                    _delegateCheckpoints[to],
                    _add,
                    SafeCastUpgradeable.toUint224(amount)
                );
            }
        }
    }

    function _push(
        CheckpointsUpgradeable.Trace224 storage store,
        function(uint224, uint224) view returns (uint224) op,
        uint224 delta
    ) private returns (uint224, uint224) {
        return store.push(SafeCastUpgradeable.toUint32(clock()), op(store.latest(), delta));
    }

    function _add(uint224 a, uint224 b) private pure returns (uint224) {
        return a + b;
    }

    function _subtract(uint224 a, uint224 b) private pure returns (uint224) {
        return a - b;
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

pragma solidity ^0.8.0;

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits");
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits");
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits");
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.2._
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits");
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits");
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits");
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits");
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits");
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits");
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits");
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits");
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits");
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits");
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits");
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits");
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v2.5._
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits");
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits");
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits");
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.2._
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits");
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits");
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits");
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits");
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v2.5._
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits");
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits");
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits");
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits");
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v2.5._
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits");
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits");
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v2.5._
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits");
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v2.5._
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     *
     * _Available since v3.0._
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        require(value >= 0, "SafeCast: value must be positive");
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.7._
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v3.1._
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.7._
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v3.1._
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v3.1._
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v3.1._
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v3.1._
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     *
     * _Available since v3.0._
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256");
        return int256(value);
    }
}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;

/// @notice Arithmetic library with operations for fixed-point numbers.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/FixedPointMathLib.sol)
/// @author Inspired by USM (https://github.com/usmfum/USM/blob/master/contracts/WadMath.sol)
library FixedPointMathLib {
    /*//////////////////////////////////////////////////////////////
                    SIMPLIFIED FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/

    uint256 internal constant MAX_UINT256 = 2**256 - 1;

    uint256 internal constant WAD = 1e18; // The scalar of ETH and most ERC20s.

    function mulWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, y, WAD); // Equivalent to (x * y) / WAD rounded down.
    }

    function mulWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, y, WAD); // Equivalent to (x * y) / WAD rounded up.
    }

    function divWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, WAD, y); // Equivalent to (x * WAD) / y rounded down.
    }

    function divWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, WAD, y); // Equivalent to (x * WAD) / y rounded up.
    }

    /*//////////////////////////////////////////////////////////////
                    LOW LEVEL FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/

    function mulDivDown(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }

            // Divide x * y by the denominator.
            z := div(mul(x, y), denominator)
        }
    }

    function mulDivUp(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }

            // If x * y modulo the denominator is strictly greater than 0,
            // 1 is added to round up the division of x * y by the denominator.
            z := add(gt(mod(mul(x, y), denominator), 0), div(mul(x, y), denominator))
        }
    }

    function rpow(
        uint256 x,
        uint256 n,
        uint256 scalar
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            switch x
            case 0 {
                switch n
                case 0 {
                    // 0 ** 0 = 1
                    z := scalar
                }
                default {
                    // 0 ** n = 0
                    z := 0
                }
            }
            default {
                switch mod(n, 2)
                case 0 {
                    // If n is even, store scalar in z for now.
                    z := scalar
                }
                default {
                    // If n is odd, store x in z for now.
                    z := x
                }

                // Shifting right by 1 is like dividing by 2.
                let half := shr(1, scalar)

                for {
                    // Shift n right by 1 before looping to halve it.
                    n := shr(1, n)
                } n {
                    // Shift n right by 1 each iteration to halve it.
                    n := shr(1, n)
                } {
                    // Revert immediately if x ** 2 would overflow.
                    // Equivalent to iszero(eq(div(xx, x), x)) here.
                    if shr(128, x) {
                        revert(0, 0)
                    }

                    // Store x squared.
                    let xx := mul(x, x)

                    // Round to the nearest number.
                    let xxRound := add(xx, half)

                    // Revert if xx + half overflowed.
                    if lt(xxRound, xx) {
                        revert(0, 0)
                    }

                    // Set x to scaled xxRound.
                    x := div(xxRound, scalar)

                    // If n is even:
                    if mod(n, 2) {
                        // Compute z * x.
                        let zx := mul(z, x)

                        // If z * x overflowed:
                        if iszero(eq(div(zx, x), z)) {
                            // Revert if x is non-zero.
                            if iszero(iszero(x)) {
                                revert(0, 0)
                            }
                        }

                        // Round to the nearest number.
                        let zxRound := add(zx, half)

                        // Revert if zx + half overflowed.
                        if lt(zxRound, zx) {
                            revert(0, 0)
                        }

                        // Return properly scaled zxRound.
                        z := div(zxRound, scalar)
                    }
                }
            }
        }
    }

    /*//////////////////////////////////////////////////////////////
                        GENERAL NUMBER UTILITIES
    //////////////////////////////////////////////////////////////*/

    function sqrt(uint256 x) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            let y := x // We start y at x, which will help us make our initial estimate.

            z := 181 // The "correct" value is 1, but this saves a multiplication later.

            // This segment is to get a reasonable initial estimate for the Babylonian method. With a bad
            // start, the correct # of bits increases ~linearly each iteration instead of ~quadratically.

            // We check y >= 2^(k + 8) but shift right by k bits
            // each branch to ensure that if x >= 256, then y >= 256.
            if iszero(lt(y, 0x10000000000000000000000000000000000)) {
                y := shr(128, y)
                z := shl(64, z)
            }
            if iszero(lt(y, 0x1000000000000000000)) {
                y := shr(64, y)
                z := shl(32, z)
            }
            if iszero(lt(y, 0x10000000000)) {
                y := shr(32, y)
                z := shl(16, z)
            }
            if iszero(lt(y, 0x1000000)) {
                y := shr(16, y)
                z := shl(8, z)
            }

            // Goal was to get z*z*y within a small factor of x. More iterations could
            // get y in a tighter range. Currently, we will have y in [256, 256*2^16).
            // We ensured y >= 256 so that the relative difference between y and y+1 is small.
            // That's not possible if x < 256 but we can just verify those cases exhaustively.

            // Now, z*z*y <= x < z*z*(y+1), and y <= 2^(16+8), and either y >= 256, or x < 256.
            // Correctness can be checked exhaustively for x < 256, so we assume y >= 256.
            // Then z*sqrt(y) is within sqrt(257)/sqrt(256) of sqrt(x), or about 20bps.

            // For s in the range [1/256, 256], the estimate f(s) = (181/1024) * (s+1) is in the range
            // (1/2.84 * sqrt(s), 2.84 * sqrt(s)), with largest error when s = 1 and when s = 256 or 1/256.

            // Since y is in [256, 256*2^16), let a = y/65536, so that a is in [1/256, 256). Then we can estimate
            // sqrt(y) using sqrt(65536) * 181/1024 * (a + 1) = 181/4 * (y + 65536)/65536 = 181 * (y + 65536)/2^18.

            // There is no overflow risk here since y < 2^136 after the first branch above.
            z := shr(18, mul(z, add(y, 65536))) // A mul() is saved from starting z at 181.

            // Given the worst case multiplicative error of 2.84 above, 7 iterations should be enough.
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))

            // If x+1 is a perfect square, the Babylonian method cycles between
            // floor(sqrt(x)) and ceil(sqrt(x)). This statement ensures we return floor.
            // See: https://en.wikipedia.org/wiki/Integer_square_root#Using_only_integer_division
            // Since the ceil is rare, we save gas on the assignment and repeat division in the rare case.
            // If you don't care whether the floor or ceil square root is returned, you can remove this statement.
            z := sub(z, lt(div(x, z), z))
        }
    }

    function unsafeMod(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Mod x by y. Note this will return
            // 0 instead of reverting if y is zero.
            z := mod(x, y)
        }
    }

    function unsafeDiv(uint256 x, uint256 y) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Divide x by y. Note this will return
            // 0 instead of reverting if y is zero.
            r := div(x, y)
        }
    }

    function unsafeDivUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Add 1 to x * y if x % y > 0. Note this will
            // return 0 instead of reverting if y is zero.
            z := add(gt(mod(x, y), 0), div(x, y))
        }
    }
}

// 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 Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                // 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 v4.9.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @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 v4.9.0) (access/AccessControlDefaultAdminRules.sol)

pragma solidity ^0.8.0;

import "./AccessControlUpgradeable.sol";
import "./IAccessControlDefaultAdminRulesUpgradeable.sol";
import "../utils/math/SafeCastUpgradeable.sol";
import "../interfaces/IERC5313Upgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Extension of {AccessControl} that allows specifying special rules to manage
 * the `DEFAULT_ADMIN_ROLE` holder, which is a sensitive role with special permissions
 * over other roles that may potentially have privileged rights in the system.
 *
 * If a specific role doesn't have an admin role assigned, the holder of the
 * `DEFAULT_ADMIN_ROLE` will have the ability to grant it and revoke it.
 *
 * This contract implements the following risk mitigations on top of {AccessControl}:
 *
 * * Only one account holds the `DEFAULT_ADMIN_ROLE` since deployment until it's potentially renounced.
 * * Enforces a 2-step process to transfer the `DEFAULT_ADMIN_ROLE` to another account.
 * * Enforces a configurable delay between the two steps, with the ability to cancel before the transfer is accepted.
 * * The delay can be changed by scheduling, see {changeDefaultAdminDelay}.
 * * It is not possible to use another role to manage the `DEFAULT_ADMIN_ROLE`.
 *
 * Example usage:
 *
 * ```solidity
 * contract MyToken is AccessControlDefaultAdminRules {
 *   constructor() AccessControlDefaultAdminRules(
 *     3 days,
 *     msg.sender // Explicit initial `DEFAULT_ADMIN_ROLE` holder
 *    ) {}
 * }
 * ```
 *
 * _Available since v4.9._
 */
abstract contract AccessControlDefaultAdminRulesUpgradeable is Initializable, IAccessControlDefaultAdminRulesUpgradeable, IERC5313Upgradeable, AccessControlUpgradeable {
    // pending admin pair read/written together frequently
    address private _pendingDefaultAdmin;
    uint48 private _pendingDefaultAdminSchedule; // 0 == unset

    uint48 private _currentDelay;
    address private _currentDefaultAdmin;

    // pending delay pair read/written together frequently
    uint48 private _pendingDelay;
    uint48 private _pendingDelaySchedule; // 0 == unset

    /**
     * @dev Sets the initial values for {defaultAdminDelay} and {defaultAdmin} address.
     */
    function __AccessControlDefaultAdminRules_init(uint48 initialDelay, address initialDefaultAdmin) internal onlyInitializing {
        __AccessControlDefaultAdminRules_init_unchained(initialDelay, initialDefaultAdmin);
    }

    function __AccessControlDefaultAdminRules_init_unchained(uint48 initialDelay, address initialDefaultAdmin) internal onlyInitializing {
        require(initialDefaultAdmin != address(0), "AccessControl: 0 default admin");
        _currentDelay = initialDelay;
        _grantRole(DEFAULT_ADMIN_ROLE, initialDefaultAdmin);
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IAccessControlDefaultAdminRulesUpgradeable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC5313-owner}.
     */
    function owner() public view virtual returns (address) {
        return defaultAdmin();
    }

    ///
    /// Override AccessControl role management
    ///

    /**
     * @dev See {AccessControl-grantRole}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function grantRole(bytes32 role, address account) public virtual override(AccessControlUpgradeable, IAccessControlUpgradeable) {
        require(role != DEFAULT_ADMIN_ROLE, "AccessControl: can't directly grant default admin role");
        super.grantRole(role, account);
    }

    /**
     * @dev See {AccessControl-revokeRole}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function revokeRole(bytes32 role, address account) public virtual override(AccessControlUpgradeable, IAccessControlUpgradeable) {
        require(role != DEFAULT_ADMIN_ROLE, "AccessControl: can't directly revoke default admin role");
        super.revokeRole(role, account);
    }

    /**
     * @dev See {AccessControl-renounceRole}.
     *
     * For the `DEFAULT_ADMIN_ROLE`, it only allows renouncing in two steps by first calling
     * {beginDefaultAdminTransfer} to the `address(0)`, so it's required that the {pendingDefaultAdmin} schedule
     * has also passed when calling this function.
     *
     * After its execution, it will not be possible to call `onlyRole(DEFAULT_ADMIN_ROLE)` functions.
     *
     * NOTE: Renouncing `DEFAULT_ADMIN_ROLE` will leave the contract without a {defaultAdmin},
     * thereby disabling any functionality that is only available for it, and the possibility of reassigning a
     * non-administrated role.
     */
    function renounceRole(bytes32 role, address account) public virtual override(AccessControlUpgradeable, IAccessControlUpgradeable) {
        if (role == DEFAULT_ADMIN_ROLE && account == defaultAdmin()) {
            (address newDefaultAdmin, uint48 schedule) = pendingDefaultAdmin();
            require(
                newDefaultAdmin == address(0) && _isScheduleSet(schedule) && _hasSchedulePassed(schedule),
                "AccessControl: only can renounce in two delayed steps"
            );
            delete _pendingDefaultAdminSchedule;
        }
        super.renounceRole(role, account);
    }

    /**
     * @dev See {AccessControl-_grantRole}.
     *
     * For `DEFAULT_ADMIN_ROLE`, it only allows granting if there isn't already a {defaultAdmin} or if the
     * role has been previously renounced.
     *
     * NOTE: Exposing this function through another mechanism may make the `DEFAULT_ADMIN_ROLE`
     * assignable again. Make sure to guarantee this is the expected behavior in your implementation.
     */
    function _grantRole(bytes32 role, address account) internal virtual override {
        if (role == DEFAULT_ADMIN_ROLE) {
            require(defaultAdmin() == address(0), "AccessControl: default admin already granted");
            _currentDefaultAdmin = account;
        }
        super._grantRole(role, account);
    }

    /**
     * @dev See {AccessControl-_revokeRole}.
     */
    function _revokeRole(bytes32 role, address account) internal virtual override {
        if (role == DEFAULT_ADMIN_ROLE && account == defaultAdmin()) {
            delete _currentDefaultAdmin;
        }
        super._revokeRole(role, account);
    }

    /**
     * @dev See {AccessControl-_setRoleAdmin}. Reverts for `DEFAULT_ADMIN_ROLE`.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual override {
        require(role != DEFAULT_ADMIN_ROLE, "AccessControl: can't violate default admin rules");
        super._setRoleAdmin(role, adminRole);
    }

    ///
    /// AccessControlDefaultAdminRules accessors
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function defaultAdmin() public view virtual returns (address) {
        return _currentDefaultAdmin;
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function pendingDefaultAdmin() public view virtual returns (address newAdmin, uint48 schedule) {
        return (_pendingDefaultAdmin, _pendingDefaultAdminSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function defaultAdminDelay() public view virtual returns (uint48) {
        uint48 schedule = _pendingDelaySchedule;
        return (_isScheduleSet(schedule) && _hasSchedulePassed(schedule)) ? _pendingDelay : _currentDelay;
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function pendingDefaultAdminDelay() public view virtual returns (uint48 newDelay, uint48 schedule) {
        schedule = _pendingDelaySchedule;
        return (_isScheduleSet(schedule) && !_hasSchedulePassed(schedule)) ? (_pendingDelay, schedule) : (0, 0);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function defaultAdminDelayIncreaseWait() public view virtual returns (uint48) {
        return 5 days;
    }

    ///
    /// AccessControlDefaultAdminRules public and internal setters for defaultAdmin/pendingDefaultAdmin
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function beginDefaultAdminTransfer(address newAdmin) public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _beginDefaultAdminTransfer(newAdmin);
    }

    /**
     * @dev See {beginDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _beginDefaultAdminTransfer(address newAdmin) internal virtual {
        uint48 newSchedule = SafeCastUpgradeable.toUint48(block.timestamp) + defaultAdminDelay();
        _setPendingDefaultAdmin(newAdmin, newSchedule);
        emit DefaultAdminTransferScheduled(newAdmin, newSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function cancelDefaultAdminTransfer() public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _cancelDefaultAdminTransfer();
    }

    /**
     * @dev See {cancelDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _cancelDefaultAdminTransfer() internal virtual {
        _setPendingDefaultAdmin(address(0), 0);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function acceptDefaultAdminTransfer() public virtual {
        (address newDefaultAdmin, ) = pendingDefaultAdmin();
        require(_msgSender() == newDefaultAdmin, "AccessControl: pending admin must accept");
        _acceptDefaultAdminTransfer();
    }

    /**
     * @dev See {acceptDefaultAdminTransfer}.
     *
     * Internal function without access restriction.
     */
    function _acceptDefaultAdminTransfer() internal virtual {
        (address newAdmin, uint48 schedule) = pendingDefaultAdmin();
        require(_isScheduleSet(schedule) && _hasSchedulePassed(schedule), "AccessControl: transfer delay not passed");
        _revokeRole(DEFAULT_ADMIN_ROLE, defaultAdmin());
        _grantRole(DEFAULT_ADMIN_ROLE, newAdmin);
        delete _pendingDefaultAdmin;
        delete _pendingDefaultAdminSchedule;
    }

    ///
    /// AccessControlDefaultAdminRules public and internal setters for defaultAdminDelay/pendingDefaultAdminDelay
    ///

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function changeDefaultAdminDelay(uint48 newDelay) public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _changeDefaultAdminDelay(newDelay);
    }

    /**
     * @dev See {changeDefaultAdminDelay}.
     *
     * Internal function without access restriction.
     */
    function _changeDefaultAdminDelay(uint48 newDelay) internal virtual {
        uint48 newSchedule = SafeCastUpgradeable.toUint48(block.timestamp) + _delayChangeWait(newDelay);
        _setPendingDelay(newDelay, newSchedule);
        emit DefaultAdminDelayChangeScheduled(newDelay, newSchedule);
    }

    /**
     * @inheritdoc IAccessControlDefaultAdminRulesUpgradeable
     */
    function rollbackDefaultAdminDelay() public virtual onlyRole(DEFAULT_ADMIN_ROLE) {
        _rollbackDefaultAdminDelay();
    }

    /**
     * @dev See {rollbackDefaultAdminDelay}.
     *
     * Internal function without access restriction.
     */
    function _rollbackDefaultAdminDelay() internal virtual {
        _setPendingDelay(0, 0);
    }

    /**
     * @dev Returns the amount of seconds to wait after the `newDelay` will
     * become the new {defaultAdminDelay}.
     *
     * The value returned guarantees that if the delay is reduced, it will go into effect
     * after a wait that honors the previously set delay.
     *
     * See {defaultAdminDelayIncreaseWait}.
     */
    function _delayChangeWait(uint48 newDelay) internal view virtual returns (uint48) {
        uint48 currentDelay = defaultAdminDelay();

        // When increasing the delay, we schedule the delay change to occur after a period of "new delay" has passed, up
        // to a maximum given by defaultAdminDelayIncreaseWait, by default 5 days. For example, if increasing from 1 day
        // to 3 days, the new delay will come into effect after 3 days. If increasing from 1 day to 10 days, the new
        // delay will come into effect after 5 days. The 5 day wait period is intended to be able to fix an error like
        // using milliseconds instead of seconds.
        //
        // When decreasing the delay, we wait the difference between "current delay" and "new delay". This guarantees
        // that an admin transfer cannot be made faster than "current delay" at the time the delay change is scheduled.
        // For example, if decreasing from 10 days to 3 days, the new delay will come into effect after 7 days.
        return
            newDelay > currentDelay
                ? uint48(MathUpgradeable.min(newDelay, defaultAdminDelayIncreaseWait())) // no need to safecast, both inputs are uint48
                : currentDelay - newDelay;
    }

    ///
    /// Private setters
    ///

    /**
     * @dev Setter of the tuple for pending admin and its schedule.
     *
     * May emit a DefaultAdminTransferCanceled event.
     */
    function _setPendingDefaultAdmin(address newAdmin, uint48 newSchedule) private {
        (, uint48 oldSchedule) = pendingDefaultAdmin();

        _pendingDefaultAdmin = newAdmin;
        _pendingDefaultAdminSchedule = newSchedule;

        // An `oldSchedule` from `pendingDefaultAdmin()` is only set if it hasn't been accepted.
        if (_isScheduleSet(oldSchedule)) {
            // Emit for implicit cancellations when another default admin was scheduled.
            emit DefaultAdminTransferCanceled();
        }
    }

    /**
     * @dev Setter of the tuple for pending delay and its schedule.
     *
     * May emit a DefaultAdminDelayChangeCanceled event.
     */
    function _setPendingDelay(uint48 newDelay, uint48 newSchedule) private {
        uint48 oldSchedule = _pendingDelaySchedule;

        if (_isScheduleSet(oldSchedule)) {
            if (_hasSchedulePassed(oldSchedule)) {
                // Materialize a virtual delay
                _currentDelay = _pendingDelay;
            } else {
                // Emit for implicit cancellations when another delay was scheduled.
                emit DefaultAdminDelayChangeCanceled();
            }
        }

        _pendingDelay = newDelay;
        _pendingDelaySchedule = newSchedule;
    }

    ///
    /// Private helpers
    ///

    /**
     * @dev Defines if an `schedule` is considered set. For consistency purposes.
     */
    function _isScheduleSet(uint48 schedule) private pure returns (bool) {
        return schedule != 0;
    }

    /**
     * @dev Defines if an `schedule` is considered passed. For consistency purposes.
     */
    function _hasSchedulePassed(uint48 schedule) private view returns (bool) {
        return schedule < block.timestamp;
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (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.
 *
 * ==== Security Considerations
 *
 * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
 * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
 * considered as an intention to spend the allowance in any specific way. The second is that because permits have
 * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
 * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
 * generally recommended is:
 *
 * ```solidity
 * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
 *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
 *     doThing(..., value);
 * }
 *
 * function doThing(..., uint256 value) public {
 *     token.safeTransferFrom(msg.sender, address(this), value);
 *     ...
 * }
 * ```
 *
 * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
 * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
 * {SafeERC20-safeTransferFrom}).
 *
 * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
 * contracts should have entry points that don't rely on permit.
 */
interface IERC20Permit {
    /**
     * @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].
     *
     * CAUTION: See Security Considerations above.
     */
    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) (utils/Address.sol)

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (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 (last updated v4.9.0) (interfaces/IERC5805.sol)

pragma solidity ^0.8.0;

import "../governance/utils/IVotesUpgradeable.sol";
import "./IERC6372Upgradeable.sol";

interface IERC5805Upgradeable is IERC6372Upgradeable, IVotesUpgradeable {}

// 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/Checkpoints.sol)
// This file was procedurally generated from scripts/generate/templates/Checkpoints.js.

pragma solidity ^0.8.0;

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

/**
 * @dev This library defines the `History` struct, for checkpointing values as they change at different points in
 * time, and later looking up past values by block number. See {Votes} as an example.
 *
 * To create a history of checkpoints define a variable type `Checkpoints.History` in your contract, and store a new
 * checkpoint for the current transaction block using the {push} function.
 *
 * _Available since v4.5._
 */
library CheckpointsUpgradeable {
    struct History {
        Checkpoint[] _checkpoints;
    }

    struct Checkpoint {
        uint32 _blockNumber;
        uint224 _value;
    }

    /**
     * @dev Returns the value at a given block number. If a checkpoint is not available at that block, the closest one
     * before it is returned, or zero otherwise. Because the number returned corresponds to that at the end of the
     * block, the requested block number must be in the past, excluding the current block.
     */
    function getAtBlock(History storage self, uint256 blockNumber) internal view returns (uint256) {
        require(blockNumber < block.number, "Checkpoints: block not yet mined");
        uint32 key = SafeCastUpgradeable.toUint32(blockNumber);

        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value at a given block number. If a checkpoint is not available at that block, the closest one
     * before it is returned, or zero otherwise. Similar to {upperLookup} but optimized for the case when the searched
     * checkpoint is probably "recent", defined as being among the last sqrt(N) checkpoints where N is the number of
     * checkpoints.
     */
    function getAtProbablyRecentBlock(History storage self, uint256 blockNumber) internal view returns (uint256) {
        require(blockNumber < block.number, "Checkpoints: block not yet mined");
        uint32 key = SafeCastUpgradeable.toUint32(blockNumber);

        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - MathUpgradeable.sqrt(len);
            if (key < _unsafeAccess(self._checkpoints, mid)._blockNumber) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }

        uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);

        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Pushes a value onto a History so that it is stored as the checkpoint for the current block.
     *
     * Returns previous value and new value.
     */
    function push(History storage self, uint256 value) internal returns (uint256, uint256) {
        return _insert(self._checkpoints, SafeCastUpgradeable.toUint32(block.number), SafeCastUpgradeable.toUint224(value));
    }

    /**
     * @dev Pushes a value onto a History, by updating the latest value using binary operation `op`. The new value will
     * be set to `op(latest, delta)`.
     *
     * Returns previous value and new value.
     */
    function push(
        History storage self,
        function(uint256, uint256) view returns (uint256) op,
        uint256 delta
    ) internal returns (uint256, uint256) {
        return push(self, op(latest(self), delta));
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(History storage self) internal view returns (uint224) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function latestCheckpoint(
        History storage self
    ) internal view returns (bool exists, uint32 _blockNumber, uint224 _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, 0);
        } else {
            Checkpoint memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._blockNumber, ckpt._value);
        }
    }

    /**
     * @dev Returns the number of checkpoint.
     */
    function length(History storage self) internal view returns (uint256) {
        return self._checkpoints.length;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
     * or by updating the last one.
     */
    function _insert(Checkpoint[] storage self, uint32 key, uint224 value) private returns (uint224, uint224) {
        uint256 pos = self.length;

        if (pos > 0) {
            // Copying to memory is important here.
            Checkpoint memory last = _unsafeAccess(self, pos - 1);

            // Checkpoint keys must be non-decreasing.
            require(last._blockNumber <= key, "Checkpoint: decreasing keys");

            // Update or push new checkpoint
            if (last._blockNumber == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(Checkpoint({_blockNumber: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(Checkpoint({_blockNumber: key, _value: value}));
            return (0, value);
        }
    }

    /**
     * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _upperBinaryLookup(
        Checkpoint[] storage self,
        uint32 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._blockNumber > key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return high;
    }

    /**
     * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _lowerBinaryLookup(
        Checkpoint[] storage self,
        uint32 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._blockNumber < key) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return high;
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _unsafeAccess(Checkpoint[] storage self, uint256 pos) private pure returns (Checkpoint storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }

    struct Trace224 {
        Checkpoint224[] _checkpoints;
    }

    struct Checkpoint224 {
        uint32 _key;
        uint224 _value;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into a Trace224 so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     */
    function push(Trace224 storage self, uint32 key, uint224 value) internal returns (uint224, uint224) {
        return _insert(self._checkpoints, key, value);
    }

    /**
     * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if there is none.
     */
    function lowerLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero if there is none.
     */
    function upperLookup(Trace224 storage self, uint32 key) internal view returns (uint224) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero if there is none.
     *
     * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high keys).
     */
    function upperLookupRecent(Trace224 storage self, uint32 key) internal view returns (uint224) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - MathUpgradeable.sqrt(len);
            if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }

        uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);

        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(Trace224 storage self) internal view returns (uint224) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function latestCheckpoint(Trace224 storage self) internal view returns (bool exists, uint32 _key, uint224 _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, 0);
        } else {
            Checkpoint224 memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._value);
        }
    }

    /**
     * @dev Returns the number of checkpoint.
     */
    function length(Trace224 storage self) internal view returns (uint256) {
        return self._checkpoints.length;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
     * or by updating the last one.
     */
    function _insert(Checkpoint224[] storage self, uint32 key, uint224 value) private returns (uint224, uint224) {
        uint256 pos = self.length;

        if (pos > 0) {
            // Copying to memory is important here.
            Checkpoint224 memory last = _unsafeAccess(self, pos - 1);

            // Checkpoint keys must be non-decreasing.
            require(last._key <= key, "Checkpoint: decreasing keys");

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(Checkpoint224({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(Checkpoint224({_key: key, _value: value}));
            return (0, value);
        }
    }

    /**
     * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _upperBinaryLookup(
        Checkpoint224[] storage self,
        uint32 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._key > key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return high;
    }

    /**
     * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _lowerBinaryLookup(
        Checkpoint224[] storage self,
        uint32 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._key < key) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return high;
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _unsafeAccess(
        Checkpoint224[] storage self,
        uint256 pos
    ) private pure returns (Checkpoint224 storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }

    struct Trace160 {
        Checkpoint160[] _checkpoints;
    }

    struct Checkpoint160 {
        uint96 _key;
        uint160 _value;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into a Trace160 so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     */
    function push(Trace160 storage self, uint96 key, uint160 value) internal returns (uint160, uint160) {
        return _insert(self._checkpoints, key, value);
    }

    /**
     * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if there is none.
     */
    function lowerLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? 0 : _unsafeAccess(self._checkpoints, pos)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero if there is none.
     */
    function upperLookup(Trace160 storage self, uint96 key) internal view returns (uint160) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero if there is none.
     *
     * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high keys).
     */
    function upperLookupRecent(Trace160 storage self, uint96 key) internal view returns (uint160) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - MathUpgradeable.sqrt(len);
            if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }

        uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);

        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(Trace160 storage self) internal view returns (uint160) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? 0 : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function latestCheckpoint(Trace160 storage self) internal view returns (bool exists, uint96 _key, uint160 _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, 0);
        } else {
            Checkpoint160 memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._value);
        }
    }

    /**
     * @dev Returns the number of checkpoint.
     */
    function length(Trace160 storage self) internal view returns (uint256) {
        return self._checkpoints.length;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
     * or by updating the last one.
     */
    function _insert(Checkpoint160[] storage self, uint96 key, uint160 value) private returns (uint160, uint160) {
        uint256 pos = self.length;

        if (pos > 0) {
            // Copying to memory is important here.
            Checkpoint160 memory last = _unsafeAccess(self, pos - 1);

            // Checkpoint keys must be non-decreasing.
            require(last._key <= key, "Checkpoint: decreasing keys");

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(Checkpoint160({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(Checkpoint160({_key: key, _value: value}));
            return (0, value);
        }
    }

    /**
     * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _upperBinaryLookup(
        Checkpoint160[] storage self,
        uint96 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._key > key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return high;
    }

    /**
     * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or `high` if there is none.
     * `low` and `high` define a section where to do the search, with inclusive `low` and exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _lowerBinaryLookup(
        Checkpoint160[] storage self,
        uint96 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = MathUpgradeable.average(low, high);
            if (_unsafeAccess(self, mid)._key < key) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return high;
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _unsafeAccess(
        Checkpoint160[] storage self,
        uint256 pos
    ) private pure returns (Checkpoint160 storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }
}

// 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 (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 (last updated v4.9.0) (access/IAccessControlDefaultAdminRules.sol)

pragma solidity ^0.8.0;

import "./IAccessControlUpgradeable.sol";

/**
 * @dev External interface of AccessControlDefaultAdminRules declared to support ERC165 detection.
 *
 * _Available since v4.9._
 */
interface IAccessControlDefaultAdminRulesUpgradeable is IAccessControlUpgradeable {
    /**
     * @dev Emitted when a {defaultAdmin} transfer is started, setting `newAdmin` as the next
     * address to become the {defaultAdmin} by calling {acceptDefaultAdminTransfer} only after `acceptSchedule`
     * passes.
     */
    event DefaultAdminTransferScheduled(address indexed newAdmin, uint48 acceptSchedule);

    /**
     * @dev Emitted when a {pendingDefaultAdmin} is reset if it was never accepted, regardless of its schedule.
     */
    event DefaultAdminTransferCanceled();

    /**
     * @dev Emitted when a {defaultAdminDelay} change is started, setting `newDelay` as the next
     * delay to be applied between default admin transfer after `effectSchedule` has passed.
     */
    event DefaultAdminDelayChangeScheduled(uint48 newDelay, uint48 effectSchedule);

    /**
     * @dev Emitted when a {pendingDefaultAdminDelay} is reset if its schedule didn't pass.
     */
    event DefaultAdminDelayChangeCanceled();

    /**
     * @dev Returns the address of the current `DEFAULT_ADMIN_ROLE` holder.
     */
    function defaultAdmin() external view returns (address);

    /**
     * @dev Returns a tuple of a `newAdmin` and an accept schedule.
     *
     * After the `schedule` passes, the `newAdmin` will be able to accept the {defaultAdmin} role
     * by calling {acceptDefaultAdminTransfer}, completing the role transfer.
     *
     * A zero value only in `acceptSchedule` indicates no pending admin transfer.
     *
     * NOTE: A zero address `newAdmin` means that {defaultAdmin} is being renounced.
     */
    function pendingDefaultAdmin() external view returns (address newAdmin, uint48 acceptSchedule);

    /**
     * @dev Returns the delay required to schedule the acceptance of a {defaultAdmin} transfer started.
     *
     * This delay will be added to the current timestamp when calling {beginDefaultAdminTransfer} to set
     * the acceptance schedule.
     *
     * NOTE: If a delay change has been scheduled, it will take effect as soon as the schedule passes, making this
     * function returns the new delay. See {changeDefaultAdminDelay}.
     */
    function defaultAdminDelay() external view returns (uint48);

    /**
     * @dev Returns a tuple of `newDelay` and an effect schedule.
     *
     * After the `schedule` passes, the `newDelay` will get into effect immediately for every
     * new {defaultAdmin} transfer started with {beginDefaultAdminTransfer}.
     *
     * A zero value only in `effectSchedule` indicates no pending delay change.
     *
     * NOTE: A zero value only for `newDelay` means that the next {defaultAdminDelay}
     * will be zero after the effect schedule.
     */
    function pendingDefaultAdminDelay() external view returns (uint48 newDelay, uint48 effectSchedule);

    /**
     * @dev Starts a {defaultAdmin} transfer by setting a {pendingDefaultAdmin} scheduled for acceptance
     * after the current timestamp plus a {defaultAdminDelay}.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * Emits a DefaultAdminRoleChangeStarted event.
     */
    function beginDefaultAdminTransfer(address newAdmin) external;

    /**
     * @dev Cancels a {defaultAdmin} transfer previously started with {beginDefaultAdminTransfer}.
     *
     * A {pendingDefaultAdmin} not yet accepted can also be cancelled with this function.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * May emit a DefaultAdminTransferCanceled event.
     */
    function cancelDefaultAdminTransfer() external;

    /**
     * @dev Completes a {defaultAdmin} transfer previously started with {beginDefaultAdminTransfer}.
     *
     * After calling the function:
     *
     * - `DEFAULT_ADMIN_ROLE` should be granted to the caller.
     * - `DEFAULT_ADMIN_ROLE` should be revoked from the previous holder.
     * - {pendingDefaultAdmin} should be reset to zero values.
     *
     * Requirements:
     *
     * - Only can be called by the {pendingDefaultAdmin}'s `newAdmin`.
     * - The {pendingDefaultAdmin}'s `acceptSchedule` should've passed.
     */
    function acceptDefaultAdminTransfer() external;

    /**
     * @dev Initiates a {defaultAdminDelay} update by setting a {pendingDefaultAdminDelay} scheduled for getting
     * into effect after the current timestamp plus a {defaultAdminDelay}.
     *
     * This function guarantees that any call to {beginDefaultAdminTransfer} done between the timestamp this
     * method is called and the {pendingDefaultAdminDelay} effect schedule will use the current {defaultAdminDelay}
     * set before calling.
     *
     * The {pendingDefaultAdminDelay}'s effect schedule is defined in a way that waiting until the schedule and then
     * calling {beginDefaultAdminTransfer} with the new delay will take at least the same as another {defaultAdmin}
     * complete transfer (including acceptance).
     *
     * The schedule is designed for two scenarios:
     *
     * - When the delay is changed for a larger one the schedule is `block.timestamp + newDelay` capped by
     * {defaultAdminDelayIncreaseWait}.
     * - When the delay is changed for a shorter one, the schedule is `block.timestamp + (current delay - new delay)`.
     *
     * A {pendingDefaultAdminDelay} that never got into effect will be canceled in favor of a new scheduled change.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * Emits a DefaultAdminDelayChangeScheduled event and may emit a DefaultAdminDelayChangeCanceled event.
     */
    function changeDefaultAdminDelay(uint48 newDelay) external;

    /**
     * @dev Cancels a scheduled {defaultAdminDelay} change.
     *
     * Requirements:
     *
     * - Only can be called by the current {defaultAdmin}.
     *
     * May emit a DefaultAdminDelayChangeCanceled event.
     */
    function rollbackDefaultAdminDelay() external;

    /**
     * @dev Maximum time in seconds for an increase to {defaultAdminDelay} (that is scheduled using {changeDefaultAdminDelay})
     * to take effect. Default to 5 days.
     *
     * When the {defaultAdminDelay} is scheduled to be increased, it goes into effect after the new delay has passed with
     * the purpose of giving enough time for reverting any accidental change (i.e. using milliseconds instead of seconds)
     * that may lock the contract. However, to avoid excessive schedules, the wait is capped by this function and it can
     * be overrode for a custom {defaultAdminDelay} increase scheduling.
     *
     * IMPORTANT: Make sure to add a reasonable amount of time while overriding this value, otherwise,
     * there's a risk of setting a high new delay that goes into effect almost immediately without the
     * possibility of human intervention in the case of an input error (eg. set milliseconds instead of seconds).
     */
    function defaultAdminDelayIncreaseWait() external view returns (uint48);
}

// 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 v4.9.0) (interfaces/IERC5313.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface for the Light Contract Ownership Standard.
 *
 * A standardized minimal interface required to identify an account that controls a contract
 *
 * _Available since v4.9._
 */
interface IERC5313Upgradeable {
    /**
     * @dev Gets the address of the owner.
     */
    function owner() external view returns (address);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (governance/utils/IVotes.sol)
pragma solidity ^0.8.0;

/**
 * @dev Common interface for {ERC20Votes}, {ERC721Votes}, and other {Votes}-enabled contracts.
 *
 * _Available since v4.5._
 * 
 * FORK INFORMATION
 * This contract has been modified for use in thunderhead-labs/stflip-contracts. 
 * 
 * Modifications in order of appearence:
 * 1. Removed event `DelegateChanged` since a delegate cannot change
 * 2. Removed event `DelegateVotesChanged` since EIP20 `Transfer` makes this redundant
 * 3. Removed `delegate` and `delegateBySig` since delegation is disabled
 */
interface IVotesUpgradeable {
    /**
     * @dev Returns the current amount of votes that `account` has.
     */
    function getVotes(address account) external view returns (uint256);

    /**
     * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     */
    function getPastVotes(address account, uint256 timepoint) external view returns (uint256);

    /**
     * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     *
     * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
     * Votes that have not been delegated are still part of total supply, even though they would not participate in a
     * vote.
     */
    function getPastTotalSupply(uint256 timepoint) external view returns (uint256);

    /**
     * @dev Returns the delegate that `account` has chosen.
     */
    function delegates(address account) external view returns (address);

}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC6372.sol)

pragma solidity ^0.8.0;

interface IERC6372Upgradeable {
    /**
     * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based checkpoints (and voting).
     */
    function clock() external view returns (uint48);

    /**
     * @dev Description of the clock
     */
    // solhint-disable-next-line func-name-mixedcase
    function CLOCK_MODE() external view returns (string memory);
}

// 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 v4.9.0) (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) (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 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) (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
// 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 (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 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);
}

{
  "remappings": [
    "@openzeppelin/contracts/=lib/openzeppelin-contracts/contracts/",
    "@openzeppelin/contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/contracts/",
    "@src/=src/",
    "@test/=test/",
    "@script-deploy/=script/deploy/",
    "@governance/=lib/frax-governance/",
    "@solmate/=lib/solmate/",
    "@chainlink/=lib/frax-governance/node_modules/@chainlink/",
    "@eth-optimism/=lib/frax-governance/node_modules/@eth-optimism/contracts/",
    "@gnosis.pm/=lib/frax-governance/node_modules/@gnosis.pm/",
    "ds-test/=lib/frax-governance/node_modules/ds-test/src/",
    "erc4626-tests/=lib/openzeppelin-contracts-upgradeable/lib/erc4626-tests/",
    "forge-std/=lib/forge-std/src/",
    "frax-governance/=lib/frax-governance/",
    "frax-standard-solidity/=lib/frax-governance/node_modules/frax-standard-solidity/src/",
    "frax-std/=lib/frax-governance/node_modules/frax-standard-solidity/src/",
    "openzeppelin-contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/",
    "openzeppelin-solidity/=lib/frax-governance/node_modules/openzeppelin-solidity/contracts/",
    "openzeppelin/=lib/openzeppelin-contracts-upgradeable/contracts/",
    "safe-contracts/=lib/frax-governance/node_modules/@gnosis.pm/safe-contracts/contracts/",
    "safe-tools/=lib/frax-governance/node_modules/safe-tools/src/",
    "solady/=lib/frax-governance/node_modules/solady/src/",
    "solmate/=lib/solmate/src/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "ipfs",
    "appendCBOR": true
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "shanghai",
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"BurnIsPaused","type":"error"},{"inputs":[],"name":"MintIsPaused","type":"error"},{"inputs":[],"name":"RebaseIsPaused","type":"error"},{"inputs":[],"name":"TransferIsPaused","type":"error"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"owner","type":"address"},{"indexed":true,"internalType":"address","name":"spender","type":"address"},{"indexed":false,"internalType":"uint256","name":"amount","type":"uint256"}],"name":"Approval","type":"event"},{"anonymous":false,"inputs":[],"name":"DefaultAdminDelayChangeCanceled","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint48","name":"newDelay","type":"uint48"},{"indexed":false,"internalType":"uint48","name":"effectSchedule","type":"uint48"}],"name":"DefaultAdminDelayChangeScheduled","type":"event"},{"anonymous":false,"inputs":[],"name":"DefaultAdminTransferCanceled","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"newAdmin","type":"address"},{"indexed":false,"internalType":"uint48","name":"acceptSchedule","type":"uint48"}],"name":"DefaultAdminTransferScheduled","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint8","name":"version","type":"uint8"}],"name":"Initialized","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256","name":"amount","type":"uint256"}],"name":"Mint","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"epoch","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"currentSupply","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"newSupply","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"rebaseInterval","type":"uint256"}],"name":"Rebase","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"bytes32","name":"role","type":"bytes32"},{"indexed":true,"internalType":"bytes32","name":"previousAdminRole","type":"bytes32"},{"indexed":true,"internalType":"bytes32","name":"newAdminRole","type":"bytes32"}],"name":"RoleAdminChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"bytes32","name":"role","type":"bytes32"},{"indexed":true,"internalType":"address","name":"account","type":"address"},{"indexed":true,"internalType":"address","name":"sender","type":"address"}],"name":"RoleGranted","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"bytes32","name":"role","type":"bytes32"},{"indexed":true,"internalType":"address","name":"account","type":"address"},{"indexed":true,"internalType":"address","name":"sender","type":"address"}],"name":"RoleRevoked","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256","name":"amount","type":"uint256"}],"name":"Transfer","type":"event"},{"inputs":[],"name":"BURNER_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"CLOCK_MODE","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"DEFAULT_ADMIN_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"FEE_RECIPIENT_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"GOVERNOR_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"MANAGER_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"MINTER_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"PAUSER_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"REBASER_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"acceptDefaultAdminTransfer","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"owner_","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"allowance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"}],"name":"approve","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"who","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"balancePerShare","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"balanceToShareDecimals","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"balance","type":"uint256"}],"name":"balanceToShares","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"newAdmin","type":"address"}],"name":"beginDefaultAdminTransfer","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"address","name":"refundee","type":"address"}],"name":"burn","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"burnPaused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"cancelDefaultAdminTransfer","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint48","name":"newDelay","type":"uint48"}],"name":"changeDefaultAdminDelay","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"clock","outputs":[{"internalType":"uint48","name":"","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"decimals","outputs":[{"internalType":"uint8","name":"","type":"uint8"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"defaultAdmin","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"defaultAdminDelay","outputs":[{"internalType":"uint48","name":"","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"defaultAdminDelayIncreaseWait","outputs":[{"internalType":"uint48","name":"","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"}],"name":"delegate","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"delegates","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"getPastTotalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"getPastVotes","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"}],"name":"getRoleAdmin","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"getVotes","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"getVotes","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"grantRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"hasRole","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"string","name":"name_","type":"string"},{"internalType":"string","name":"symbol_","type":"string"},{"internalType":"uint8","name":"decimals_","type":"uint8"},{"internalType":"address","name":"gov_","type":"address"},{"internalType":"uint256","name":"initialSupply_","type":"uint256"},{"internalType":"address","name":"burner","type":"address"},{"internalType":"address","name":"minter","type":"address"},{"internalType":"address","name":"rebaser","type":"address"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"lastSnapshotTime","outputs":[{"internalType":"uint32","name":"","type":"uint32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"mint","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"mintPaused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"snapshot","type":"uint256"}],"name":"newSnapshotTime","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"owner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bool","name":"status","type":"bool"}],"name":"pauseBurn","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"status","type":"bool"}],"name":"pauseMint","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"status","type":"bool"}],"name":"pauseRebase","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"status","type":"bool"}],"name":"pauseTransfer","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"pendingDefaultAdmin","outputs":[{"internalType":"address","name":"newAdmin","type":"address"},{"internalType":"uint48","name":"schedule","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"pendingDefaultAdminDelay","outputs":[{"internalType":"uint48","name":"newDelay","type":"uint48"},{"internalType":"uint48","name":"schedule","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"preSyncSupply","outputs":[{"internalType":"uint96","name":"","type":"uint96"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"rebasePaused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"renounceRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"token","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"rescueTokens","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"revokeRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"rewardsToSync","outputs":[{"internalType":"uint96","name":"","type":"uint96"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"rollbackDefaultAdminDelay","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"shareDecimals","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"who","type":"address"}],"name":"sharesOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"shares","type":"uint256"}],"name":"sharesToBalance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes4","name":"interfaceId","type":"bytes4"}],"name":"supportsInterface","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"syncEnd","outputs":[{"internalType":"uint32","name":"","type":"uint32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"syncStart","outputs":[{"internalType":"uint32","name":"","type":"uint32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"epoch","type":"uint256"},{"internalType":"uint256","name":"newSupply","type":"uint256"},{"internalType":"uint256","name":"syncInterval","type":"uint256"}],"name":"syncSupply","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"totalShares","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"totalSupplyAt","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalSupplyRaw","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"}],"name":"transfer","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"}],"name":"transferFrom","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"transferPaused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"}]

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