// SPDX-License-Identifier: AGPL-3.0
pragma solidity 0.8.13;

import {AccessControlEnumerable} from "@openzeppelin/contracts/access/AccessControlEnumerable.sol";
import {ERC20, IERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import {Math} from "../libraries/Math.sol";
import {IVotingEscrowV2} from "../VoterV5/VotingEscrow/IVotingEscrowV2.sol";
import {IVoter} from "../interfaces/IVoter.sol";
import {IPair} from "../interfaces/IPair.sol";
import {IGauge} from "../interfaces/IGauge.sol";
import {IRouter} from "../interfaces/IRouter.sol";
import {IDynamicTwapOracle} from "./DynamicTwapOracle/IDynamicTwapOracle.sol";
import {IOptionTokenV3_1} from "./IOptionTokenV3_1.sol";
import {IOptionFeeDistributor} from "./IOptionFeeDistributor.sol";
import {IOption} from "./IOption.sol";
import {IVersionable} from "../interfaces/IVersionable.sol";

/// @title Option Token
/// @notice Option token representing the right to purchase the underlying token
/// at TWAP reduced rate. Similar to call options but with a variable strike
/// price that's always at a certain discount to the market price.
/// @dev
/// - This OptionToken uses an Algebra style TWAP for pricing, but deposits LP tokens into a Solidly type pool.
/// - WARN The accuracy of TWAP oracles relies on sufficient liquidity, and they may not provide real-time price data,
///   which can be an issue for applications requiring up-to-date information.
/// Credit to Velocimeter for the original implementation
contract OptionTokenV3 is IOptionTokenV3_1, IVersionable, ERC20, AccessControlEnumerable {
    using SafeERC20 for IERC20;

    /// -----------------------------------------------------------------------
    /// Constants
    /// -----------------------------------------------------------------------
    string public constant override VERSION = "3.1.0";

    /// @dev MAX_DISCOUNT and MIN_DISCOUNT are handled opposite to discount, lpDiscount and veDiscount where 0 = 100% discount
    uint256 public constant MAX_DISCOUNT = 100; // 100%
    uint256 public constant MIN_DISCOUNT = 0; // 0%
    uint256 public constant MAX_TWAP_SECONDS = 2 days;
    uint256 public constant MIN_TWAP_SECONDS = 1 hours;

    /// @dev Lock set to 2 years
    uint256 public constant FULL_LOCK = 2 * 365 * 1 days; // 2 years

    /// -----------------------------------------------------------------------
    /// Roles
    /// -----------------------------------------------------------------------
    /// @dev The identifier of the role which maintains other roles and settings
    bytes32 public constant override ADMIN_ROLE = keccak256("ADMIN");

    /// @dev The identifier of the role which is allowed to mint options token
    bytes32 public constant override MINTER_ROLE = keccak256("MINTER");

    /// @dev The identifier of the role which allows accounts to pause exercising options
    /// in case of emergency
    bytes32 public constant override PAUSER_ROLE = keccak256("PAUSER");

    /// -----------------------------------------------------------------------
    /// Immutable parameters
    /// -----------------------------------------------------------------------

    /// @notice The token paid by the options token holder during redemption
    IERC20 public override paymentToken;

    /// @notice The underlying token purchased during redemption
    IERC20 public immutable UNDERLYING_TOKEN;

    /// @notice The voter contract
    address public voter;

    /// -----------------------------------------------------------------------
    /// Storage variables
    /// -----------------------------------------------------------------------

    /// @notice The router for adding liquidity
    address public router; // this should not be immutable

    /// @notice The pair contract used to deposit LP option
    IPair public pair;

    /// @notice The guage contract for the pair
    address public gauge;

    /// @notice The oracle contract that provides the current TWAP price to purchase
    /// the underlying token while exercising options (the strike price)
    IDynamicTwapOracle public twapOracle;

    /// @notice The contract that receives the payment tokens when options are exercised
    IOptionFeeDistributor public feeDistributor;

    /// @notice the discount given during exercising with locking to the LP
    uint256 public maxLPDiscount = 20; //  User pays 20%
    uint256 public minLPDiscount = 80; //  User pays 80%

    /// @notice the lock duration for max discount to create locked LP
    uint256 public lockDurationForMaxLpDiscount = FULL_LOCK; // 52 weeks

    /// @notice the lock duration for max discount to create locked LP
    uint256 public lockDurationForMinLpDiscount = 1 weeks;

    /// @notice the lock duration for min discount to create locked veToken
    uint256 public lockDurationForMinVeDiscount = 2 weeks;

    /// @notice the discount given during exercising. 30 = user pays 30%
    uint256 public discount = 40;

    /// @notice the max discount allowed for vote escrow exercise
    uint256 public veMaxDiscount = 0; // User pays 0%
    /// @notice the min discount allowed for vote escrow exercise
    uint256 public veMinDiscount = 40; // User pays 40%

    /// @notice controls the duration of the twap used to calculate the strike price
    uint32 public twapSeconds = 2 hours;

    /// @notice Is exercising options currently paused
    bool public isPaused;

    /// @notice Is minting new options currently permissioned
    bool public permissionedMint = false;

    /// @notice allows to expand options with new contracts
    mapping(address => bool) isExternalOption;

    /// -----------------------------------------------------------------------
    /// Events
    /// -----------------------------------------------------------------------

    event Exercise(address indexed sender, address indexed recipient, uint256 amount, uint256 paymentAmount);
    event ExerciseVe(
        address indexed sender,
        address indexed recipient,
        uint256 amount,
        uint256 paymentAmount,
        uint256 nftId
    );
    event ExerciseLp(
        address indexed sender,
        address indexed recipient,
        uint256 amount,
        uint256 paymentAmount,
        uint256 lpAmount
    );
    event SetPaymentConfiguration(
        IPair indexed pair,
        IDynamicTwapOracle indexed twapOracle,
        address indexed paymentToken
    );
    event SetGauge(address indexed newGauge);
    event SetRouter(address indexed router);
    event SetFeeDistributor(IOptionFeeDistributor indexed newFeeDistributor);
    event SetDiscount(uint256 discount);
    event SetVeMaxDiscount(uint256 veMaxDiscount);
    event SetVeMinDiscount(uint256 veMinDiscount);
    event SetMinLPDiscount(uint256 lpMinDiscount);
    event SetMaxLPDiscount(uint256 lpMaxDiscount);
    event SetLockDurationForMaxLpDiscount(uint256 lockDurationForMaxLpDiscount);
    event SetLockDurationForMinLpDiscount(uint256 lockDurationForMinLpDiscount);
    event SetLockDurationForMinVeDiscount(uint256 lockDurationForMinVeDiscount);
    event PauseStateChanged(bool isPaused);
    event SetTwapSeconds(uint32 twapSeconds);
    event ToggleExternalOption(address option, bool enabled);

    /// -----------------------------------------------------------------------
    /// Errors
    /// -----------------------------------------------------------------------
    error OptionToken_PastDeadline();
    error OptionToken_NoAdminRole();
    error OptionToken_NoMinterRole();
    error OptionToken_NoPauserRole();
    error OptionToken_SlippageTooHigh();
    error OptionToken_PaymentTooHigh();
    error OptionToken_InvalidDiscount();
    error OptionToken_Paused();
    error OptionToken_InvalidTwapSeconds();
    error OptionToken_IncorrectPairToken();
    error OptionToken_IncorrectTwapOracle();
    error OptionToken_InvalidLockDuration();
    error OptionToken_InvalidOption();
    error OptionToken_NoGaugeForLp();

    /// -----------------------------------------------------------------------
    /// Modifiers
    /// -----------------------------------------------------------------------
    /// @dev A modifier which checks that the caller has the admin role.
    modifier onlyAdmin() {
        if (!hasRole(ADMIN_ROLE, msg.sender)) revert OptionToken_NoAdminRole();
        _;
    }

    /// @dev A modifier which checks that the caller has the admin or minter role.
    modifier onlyMinter() {
        if (permissionedMint && !hasRole(ADMIN_ROLE, msg.sender) && !hasRole(MINTER_ROLE, msg.sender))
            revert OptionToken_NoMinterRole();
        _;
    }

    /// @dev A modifier which checks that the caller has the pause role.
    modifier onlyPauser() {
        if (!hasRole(PAUSER_ROLE, msg.sender)) revert OptionToken_NoPauserRole();
        _;
    }

    /// @dev A modifier which checks that the deadline has not passed.
    modifier checkDeadline(uint256 _deadline) {
        if (block.timestamp > _deadline) {
            revert OptionToken_PastDeadline();
        }
        _;
    }

    /// @dev A modifier which checks that the contract is not paused.
    modifier notPaused() {
        if (isPaused) {
            revert OptionToken_Paused();
        }
        _;
    }

    /// -----------------------------------------------------------------------
    /// Constructor
    /// -----------------------------------------------------------------------

    constructor(
        string memory _name,
        string memory _symbol,
        address _admin,
        ERC20 _paymentToken,
        ERC20 _underlyingToken,
        IDynamicTwapOracle _twapOracle,
        IOptionFeeDistributor _feeDistributor,
        address _voter,
        IPair _pair,
        address _router
    ) ERC20(_name, _symbol) {
        _grantRole(DEFAULT_ADMIN_ROLE, _admin);
        _grantRole(ADMIN_ROLE, _admin);
        _grantRole(PAUSER_ROLE, _admin);
        _setRoleAdmin(ADMIN_ROLE, ADMIN_ROLE);
        _setRoleAdmin(MINTER_ROLE, ADMIN_ROLE);
        _setRoleAdmin(PAUSER_ROLE, ADMIN_ROLE);

        UNDERLYING_TOKEN = _underlyingToken;
        twapOracle = _twapOracle;
        feeDistributor = _feeDistributor;
        router = _router;
        voter = _voter;

        _setPaymentConfiguration(_pair, _twapOracle, address(_paymentToken));
        updateGauge();
        emit SetRouter(router);
        emit SetFeeDistributor(_feeDistributor);
        emit SetDiscount(discount);
        emit SetVeMaxDiscount(veMaxDiscount);
        emit SetVeMinDiscount(veMinDiscount);
        emit SetMinLPDiscount(minLPDiscount);
        emit SetMaxLPDiscount(maxLPDiscount);
    }

    /// -----------------------------------------------------------------------
    /// External functions
    /// -----------------------------------------------------------------------

    /// @notice Exercises options tokens to purchase the underlying tokens.
    /// @dev The oracle may revert if it cannot give a secure result.
    /// @param _amount The amount of options tokens to exercise
    /// @param _maxPaymentAmount The maximum acceptable amount to pay. Used for slippage protection.
    /// @param _recipient The recipient of the purchased underlying tokens
    /// @return paymentAmount The amount paid to the fee distributor to purchase the underlying tokens
    function exercise(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient
    ) external returns (uint256 paymentAmount) {
        return _exercise(_amount, _maxPaymentAmount, _recipient);
    }

    /// @notice Exercises options tokens to purchase the underlying tokens.
    /// @dev The oracle may revert if it cannot give a secure result.
    /// @param _amount The amount of options tokens to exercise
    /// @param _maxPaymentAmount The maximum acceptable amount to pay. Used for slippage protection.
    /// @param _recipient The recipient of the purchased underlying tokens
    /// @param _deadline The Unix timestamp (in seconds) after which the call will revert
    /// @return The amount paid to the fee distributor to purchase the underlying tokens
    function exercise(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient,
        uint256 _deadline
    ) external checkDeadline(_deadline) returns (uint256) {
        return _exercise(_amount, _maxPaymentAmount, _recipient);
    }

    /// @notice Exercises options tokens to purchase the underlying tokens.
    /// @dev The oracle may revert if it cannot give a secure result.
    /// @param _amount The amount of options tokens to exercise
    /// @param _maxPaymentAmount The maximum acceptable amount to pay. Used for slippage protection.
    /// @param _recipient The recipient of the purchased underlying tokens
    /// @param _deadline The Unix timestamp (in seconds) after which the call will revert
    /// @return The amount paid to the fee distributor to purchase the underlying tokens
    function exerciseVe(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient,
        uint256 _discount,
        uint256 _deadline
    ) external checkDeadline(_deadline) returns (uint256, uint256) {
        return _exerciseVe(_amount, _maxPaymentAmount, _discount, _recipient);
    }

    /// @notice Exercises options tokens to create LP and stake in gauges with lock.
    /// @dev The oracle may revert if it cannot give a secure result.
    /// @param _oTokenRedeemAmount The amount of options tokens to exercise
    /// @param _maxPaymentAmountForExercise The maximum acceptable paymentToken amount to deposit for LP. Used for slippage protection.
    /// @param _minPaymentAmountToAddLiquidity The minimum acceptable paymentToken amount to deposit for LP. Used for slippage protection.
    /// @param _recipient The recipient of the LP tokens created.
    /// @param _discount The desired discount
    /// @param _deadline The Unix timestamp (in seconds) after which the call will revert
    /// @return The amount paid to the treasury to purchase the underlying tokens
    function exerciseLp(
        uint256 _oTokenRedeemAmount,
        uint256 _maxPaymentAmountForExercise,
        uint256 _maxPaymentAmountToAddLiquidity,
        uint256 _minPaymentAmountToAddLiquidity,
        address _recipient,
        uint256 _discount,
        uint256 _deadline
    ) external checkDeadline(_deadline) returns (uint256, uint256) {
        return
            _exerciseLp(
                _oTokenRedeemAmount,
                _maxPaymentAmountForExercise,
                _maxPaymentAmountToAddLiquidity,
                _minPaymentAmountToAddLiquidity,
                _recipient,
                _discount
            );
    }

    /// @notice Exercises options tokens to purchase the underlying tokens from an external option contract.
    /// @param _option The external option contract
    /// @param _amount The amount of options tokens to exercise
    /// @param _deadline The Unix timestamp (in seconds) after which the call will revert
    /// @param _data The data to pass to the external option contract
    function exerciseExternal(
        IOption _option,
        uint256 _amount,
        uint256 _deadline,
        bytes calldata _data
    ) external checkDeadline(_deadline) returns (uint256 paymentAmount) {
        if (!isExternalOption[address(_option)]) {
            revert OptionToken_InvalidOption();
        }
        paymentAmount = _option.getPaymentAmount(_amount, _data);
        _burn(msg.sender, _amount);
        _option.paymentToken().safeTransferFrom(msg.sender, address(_option), paymentAmount);
        UNDERLYING_TOKEN.approve(address(_option), 0);
        UNDERLYING_TOKEN.approve(address(_option), _amount);
        _option.exercise(_amount, msg.sender, _data);
        UNDERLYING_TOKEN.approve(address(_option), 0);
    }

    /// -----------------------------------------------------------------------
    /// Public functions
    /// -----------------------------------------------------------------------

    function getVotingEscrow() external view returns (address votingEscrow) {
        votingEscrow = IVoter(voter).ve();
    }

    /// @notice Returns the discounted price in paymentTokens for a given amount of options tokens
    /// @param _amount The amount of options tokens to exercise
    /// @return The amount of payment tokens to pay to purchase the underlying tokens
    function getDiscountedPrice(uint256 _amount) public view returns (uint256) {
        return getDiscountedPrice(_amount, discount);
    }

    /// @notice Returns the discounted price in paymentTokens for a given amount of options tokens redeemed to veToken
    /// @param _amount The amount of options tokens to exercise
    /// @param _discount The discount amount
    /// @return The amount of payment tokens to pay to purchase the underlying tokens
    function getDiscountedPrice(uint256 _amount, uint256 _discount) public view returns (uint256) {
        return (getTimeWeightedAveragePrice(_amount) * _discount) / 100;
    }

    /// @notice Returns the average price in payment tokens over period defined in twapSeconds for an amount of tokens
    /// @param _amount The amount of underlying tokens to purchase
    /// @return The amount of payment tokens
    function getTimeWeightedAveragePrice(uint256 _amount) public view returns (uint256) {
        return twapOracle.estimateAmountOut(address(UNDERLYING_TOKEN), uint128(_amount), twapSeconds);
    }

    /// @notice Returns the lock duration for a desired discount to create locked LP
    function getLockDurationForLpDiscount(uint256 _discount) public view returns (uint256 duration) {
        (int256 slope, int256 intercept) = getSlopeInterceptForLpDiscount();
        duration = Math.abs(slope * int256(_discount) + intercept);
    }

    /// @notice Returns the lock duration for a desired discount to create locked VE
    function getLockDurationForVeDiscount(uint256 _discount) public view returns (uint256 duration) {
        (int256 slope, int256 intercept) = getSlopeInterceptForVeDiscount();
        duration = Math.abs(slope * int256(_discount) + intercept);
    }

    /// @notice Returns the amount in paymentTokens for a given amount of options tokens required for the LP exercise lp
    /// @param _amount The amount of options tokens to exercise
    /// @param _discount The discount amount
    function getPaymentTokenAmountForExerciseLp(
        uint256 _amount,
        uint256 _discount
    ) public view returns (uint256 paymentAmount, uint256 paymentAmountToAddLiquidity) {
        paymentAmount = getDiscountedPrice(_amount, _discount);
        (uint256 underlyingReserve, uint256 paymentReserve) = IRouter(router).getReserves(
            address(UNDERLYING_TOKEN),
            address(paymentToken),
            false
        );
        paymentAmountToAddLiquidity = (_amount * paymentReserve) / underlyingReserve;
    }

    function getSlopeInterceptForLpDiscount() public view returns (int256 slope, int256 intercept) {
        slope =
            int256(lockDurationForMaxLpDiscount - lockDurationForMinLpDiscount) /
            (int256(maxLPDiscount) - int256(minLPDiscount));
        intercept = int256(lockDurationForMinLpDiscount) - (slope * int256(minLPDiscount));
    }

    function getSlopeInterceptForVeDiscount() public view returns (int256 slope, int256 intercept) {
        slope = int256(FULL_LOCK - lockDurationForMinVeDiscount) / (int256(veMaxDiscount) - int256(veMinDiscount));
        intercept = int256(lockDurationForMinVeDiscount) - (slope * int256(veMinDiscount));
    }

    /// -----------------------------------------------------------------------
    /// Admin functions
    /// -----------------------------------------------------------------------

    /// @notice Sets the twap oracle contract address.
    /// @param _pair The pair contract
    /// @param _twapOracle The twap oracle contract
    /// @param _paymentToken The payment token
    function setPaymentConfiguration(
        IPair _pair,
        IDynamicTwapOracle _twapOracle,
        address _paymentToken
    ) external onlyAdmin {
        _setPaymentConfiguration(_pair, _twapOracle, _paymentToken);
    }

    function _setPaymentConfiguration(IPair _pair, IDynamicTwapOracle _twapOracle, address _paymentToken) internal {
        // Validate Pair
        (address token0, address token1) = _pair.tokens();
        if (
            !((token0 == _paymentToken && token1 == address(UNDERLYING_TOKEN)) ||
                (token0 == address(UNDERLYING_TOKEN) && token1 == _paymentToken))
        ) {
            revert OptionToken_IncorrectPairToken();
        }
        pair = _pair;
        // Validate Twap Oracle
        if (
            !((_twapOracle.token0() == _paymentToken && _twapOracle.token1() == address(UNDERLYING_TOKEN)) ||
                (_twapOracle.token0() == address(UNDERLYING_TOKEN) && _twapOracle.token1() == _paymentToken))
        ) {
            revert OptionToken_IncorrectTwapOracle();
        }
        twapOracle = _twapOracle;
        // Set Payment Token
        if (address(paymentToken) != _paymentToken) {
            if (address(paymentToken) != address(0)) {
                paymentToken.approve(address(feeDistributor), 0);
            }
            paymentToken = ERC20(_paymentToken);
            paymentToken.approve(address(feeDistributor), type(uint256).max);
        }

        emit SetPaymentConfiguration(_pair, _twapOracle, _paymentToken);
    }

    /// @notice Sets the fee distributor. Only callable by the admin.
    /// @param _feeDistributor The new fee distributor.
    function setFeeDistributor(IOptionFeeDistributor _feeDistributor) external onlyAdmin {
        paymentToken.approve(address(feeDistributor), 0);
        feeDistributor = _feeDistributor;
        paymentToken.approve(address(_feeDistributor), type(uint256).max);
        emit SetFeeDistributor(_feeDistributor);
    }

    /// @notice Sets the discount amount. Only callable by the admin.
    /// @param _discount The new discount amount.
    function setDiscount(uint256 _discount) external onlyAdmin {
        if (_discount > MAX_DISCOUNT || _discount == MIN_DISCOUNT) {
            revert OptionToken_InvalidDiscount();
        }
        discount = _discount;
        emit SetDiscount(_discount);
    }

    /// @notice Sets the max discount rate for locking. Only callable by the admin.
    /// @param _veMaxDiscount The new maximum discount amount.
    function setVeMaxDiscount(uint256 _veMaxDiscount) external onlyAdmin {
        if (_veMaxDiscount > MAX_DISCOUNT || _veMaxDiscount == MIN_DISCOUNT || veMinDiscount >= _veMaxDiscount) {
            revert OptionToken_InvalidDiscount();
        }
        veMaxDiscount = _veMaxDiscount;
        emit SetVeMaxDiscount(_veMaxDiscount);
    }

    /// @notice Sets the min discount rate for locking. Only callable by the admin.
    /// @param _veMinDiscount The new minimum discount amount.
    function setVeMinDiscount(uint256 _veMinDiscount) external onlyAdmin {
        if (_veMinDiscount > MAX_DISCOUNT || _veMinDiscount == MIN_DISCOUNT || _veMinDiscount >= veMaxDiscount) {
            revert OptionToken_InvalidDiscount();
        }
        veMinDiscount = _veMinDiscount;
        emit SetVeMinDiscount(_veMinDiscount);
    }

    /// @notice Sets the twap seconds to control the length of our twap
    /// @param _twapSeconds The new twap points.
    function setTwapSeconds(uint32 _twapSeconds) external onlyAdmin {
        if (_twapSeconds > MAX_TWAP_SECONDS || _twapSeconds < MIN_TWAP_SECONDS) {
            revert OptionToken_InvalidTwapSeconds();
        }
        twapSeconds = _twapSeconds;
        emit SetTwapSeconds(_twapSeconds);
    }

    /// @notice Update gauge address to match with Voter contract
    function updateGauge() public {
        address newGauge = IVoter(voter).gauges(address(pair));
        if(newGauge != address(0)) {
            gauge = newGauge;
            emit SetGauge(newGauge);
        }
    }

    /// @notice Sets the gauge address when the gauge is not listed in Voter. Only callable by the admin.
    /// @param _gauge The new treasury address
    function setGauge(address _gauge) external onlyAdmin {
        gauge = _gauge;
        emit SetGauge(_gauge);
    }

    /// @notice Sets the router address. Only callable by the admin.
    /// @param _router The new router address
    function setRouter(address _router) external onlyAdmin {
        router = _router;
        emit SetRouter(_router);
    }

    /// @notice Sets the discount amount for lp. Only callable by the admin.
    /// @param _lpMinDiscount The new discount amount.
    function setMinLPDiscount(uint256 _lpMinDiscount) external onlyAdmin {
        /// @dev Cannot be lower than MIN_DISCOUNT or gte maxLPDiscount
        if (_lpMinDiscount > MAX_DISCOUNT || _lpMinDiscount == MIN_DISCOUNT || maxLPDiscount >= _lpMinDiscount) {
            revert OptionToken_InvalidDiscount();
        }
        minLPDiscount = _lpMinDiscount;
        emit SetMinLPDiscount(_lpMinDiscount);
    }

    /// @notice Sets the discount amount for lp. Only callable by the admin.
    /// @param _lpMaxDiscount The new discount amount.
    function setMaxLPDiscount(uint256 _lpMaxDiscount) external onlyAdmin {
        /// @dev Cannot be higher than MAX_DISCOUNT or lte minLPDiscount
        if (_lpMaxDiscount > MAX_DISCOUNT || _lpMaxDiscount == MIN_DISCOUNT || _lpMaxDiscount >= minLPDiscount) {
            revert OptionToken_InvalidDiscount();
        }
        maxLPDiscount = _lpMaxDiscount;
        emit SetMaxLPDiscount(_lpMaxDiscount);
    }

    /// @notice Sets the lock duration for max discount amount to create LP and stake in gauge.
    /// @param _duration The new lock duration.
    function setLockDurationForMaxLpDiscount(uint256 _duration) external onlyAdmin {
        if (_duration > FULL_LOCK || _duration <= lockDurationForMinLpDiscount) {
            revert OptionToken_InvalidLockDuration();
        }
        lockDurationForMaxLpDiscount = _duration;
        emit SetLockDurationForMaxLpDiscount(_duration);
    }

    // @notice Sets the lock duration for min discount amount to create LP and stake in gauge.
    /// @param _duration The new lock duration.
    function setLockDurationForMinLpDiscount(uint256 _duration) external onlyAdmin {
        if (_duration > lockDurationForMaxLpDiscount) {
            revert OptionToken_InvalidLockDuration();
        }
        lockDurationForMinLpDiscount = _duration;
        emit SetLockDurationForMinLpDiscount(_duration);
    }

    /// @notice Sets the lock duration for min discount amount for locked veToken.
    /// @param _duration The new lock duration.
    function setLockDurationForMinVeDiscount(uint256 _duration) external onlyAdmin {
        if (_duration > FULL_LOCK) {
            revert OptionToken_InvalidLockDuration();
        }
        lockDurationForMinVeDiscount = _duration;
        emit SetLockDurationForMinVeDiscount(_duration);
    }

    /// @notice Called by the admin to burn options tokens and transfer underlying tokens to the caller.
    /// @param _amount The amount of options tokens that will be burned and underlying tokens transferred to the caller
    function burn(uint256 _amount) external onlyAdmin {
        // transfer underlying tokens to the caller
        UNDERLYING_TOKEN.safeTransfer(msg.sender, _amount);
        // burn option tokens
        _burn(msg.sender, _amount);
    }

    /// @notice called by the admin to re-enable option exercising from a paused state.
    function unPause() external onlyAdmin {
        if (!isPaused) return;
        isPaused = false;
        emit PauseStateChanged(false);
    }

    /// @notice called by the admin to re-enable option exercising from a paused state.
    function togglePermissionedMint() external onlyAdmin {
        permissionedMint = !permissionedMint;
    }

    function toggleExternalOption(address option, bool enabled) external onlyAdmin {
        isExternalOption[option] = enabled;
        emit ToggleExternalOption(option, enabled);
    }

    /// -----------------------------------------------------------------------
    /// Minter functions
    /// -----------------------------------------------------------------------

    /// @notice Called by the minter to mint options tokens. Admin must grant token approval.
    /// @param _to The address that will receive the minted options tokens
    /// @param _amount The amount of options tokens that will be minted
    function mint(address _to, uint256 _amount) external onlyMinter {
        // transfer underlying tokens from the caller
        UNDERLYING_TOKEN.safeTransferFrom(msg.sender, address(this), _amount);
        // mint options tokens
        _mint(_to, _amount);
    }

    /// -----------------------------------------------------------------------
    /// Pauser functions
    /// -----------------------------------------------------------------------
    function pause() external onlyPauser {
        if (isPaused) return;
        isPaused = true;
        emit PauseStateChanged(true);
    }

    /// -----------------------------------------------------------------------
    /// Internal functions
    /// -----------------------------------------------------------------------

    function _exercise(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient
    ) internal notPaused returns (uint256 paymentAmount) {

        // burn callers tokens
        _burn(msg.sender, _amount);
        paymentAmount = getDiscountedPrice(_amount);
        if (paymentAmount > _maxPaymentAmount) { 
            revert OptionToken_SlippageTooHigh();
        }

        // transfer payment tokens from msg.sender to the fee distributor
        paymentToken.safeTransferFrom(msg.sender, address(this), paymentAmount);
        feeDistributor.distribute(address(paymentToken), paymentAmount);

        // send underlying tokens to recipient
        UNDERLYING_TOKEN.safeTransfer(_recipient, _amount); // will revert on failure

        emit Exercise(msg.sender, _recipient, _amount, paymentAmount);
    }

    function _exerciseVe(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        uint256 _discount,
        address _recipient
    ) internal notPaused returns (uint256 paymentAmount, uint256 nftId) {
        if (_discount > veMinDiscount || _discount < veMaxDiscount) { 
            revert OptionToken_InvalidDiscount();
        }

        // burn callers tokens
        _burn(msg.sender, _amount);
        paymentAmount = getDiscountedPrice(_amount, _discount);
        if (paymentAmount > _maxPaymentAmount) {
            revert OptionToken_SlippageTooHigh();
        }

        // transfer payment tokens from msg.sender to the fee distributor
        paymentToken.safeTransferFrom(msg.sender, address(this), paymentAmount);
        feeDistributor.distribute(address(paymentToken), paymentAmount);

        address votingEscrow = IVoter(voter).ve();

        // lock underlying tokens to vote escrow
        UNDERLYING_TOKEN.approve(votingEscrow, _amount);
        nftId = IVotingEscrowV2(votingEscrow).createLockFor(
            _amount,
            getLockDurationForVeDiscount(_discount),
            _recipient,
            false
        );

        emit ExerciseVe(msg.sender, _recipient, _amount, paymentAmount, nftId);
    }

    function _exerciseLp(
        uint256 _oTokenRedeemAmount,
        uint256 _maxPaymentAmountForExercise,
        uint256 _maxPaymentAmountToAddLiquidity,
        uint256 _minPaymentAmountToAddLiquidity,
        address _recipient,
        uint256 _discount
    ) internal notPaused returns (uint256 paymentAmount, uint256 lpAmount) {
        if(gauge == address(0)) {
            revert OptionToken_NoGaugeForLp();
        }

        if (_discount > minLPDiscount || _discount < maxLPDiscount) {
            revert OptionToken_InvalidDiscount();
        }

        // burn callers tokens
        _burn(msg.sender, _oTokenRedeemAmount);
        uint256 paymentAmountToAddLiquidity;
        (paymentAmount, paymentAmountToAddLiquidity) = getPaymentTokenAmountForExerciseLp(
            _oTokenRedeemAmount,
            _discount
        );

        if (paymentAmount > _maxPaymentAmountForExercise) {
            revert OptionToken_PaymentTooHigh();
        }

        if (
            paymentAmountToAddLiquidity > _maxPaymentAmountToAddLiquidity ||
            paymentAmountToAddLiquidity < _minPaymentAmountToAddLiquidity
        ) {
            revert OptionToken_SlippageTooHigh();
        }

        /// @notice user pays redeem amount + required payment for LP deposit
        paymentToken.safeTransferFrom(msg.sender, address(this), paymentAmount + paymentAmountToAddLiquidity);

        // transfer payment tokens to the fee distributor
        feeDistributor.distribute(address(paymentToken), paymentAmount);

        // Create Lp for users
        UNDERLYING_TOKEN.approve(router, _oTokenRedeemAmount);
        paymentToken.approve(router, paymentAmountToAddLiquidity);
        (, , lpAmount) = IRouter(router).addLiquidity(
            address(UNDERLYING_TOKEN),
            address(paymentToken),
            false,
            _oTokenRedeemAmount,
            paymentAmountToAddLiquidity,
            1,
            _minPaymentAmountToAddLiquidity,
            address(this),
            block.timestamp
        );

        IERC20(address(pair)).approve(gauge, lpAmount);

        IGauge(gauge).depositWithLock(_recipient, lpAmount, getLockDurationForLpDiscount(_discount));

        emit ExerciseLp(msg.sender, _recipient, _oTokenRedeemAmount, paymentAmount, lpAmount);
    }
}

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC721/extensions/IERC721Enumerable.sol)

pragma solidity ^0.8.0;

import "../IERC721Upgradeable.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721EnumerableUpgradeable is IERC721Upgradeable {
    /**
     * @dev Returns the total amount of tokens stored by the contract.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns a token ID owned by `owner` at a given `index` of its token list.
     * Use along with {balanceOf} to enumerate all of ``owner``'s tokens.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256);

    /**
     * @dev Returns a token ID at a given `index` of all the tokens stored by the contract.
     * Use along with {totalSupply} to enumerate all tokens.
     */
    function tokenByIndex(uint256 index) external view returns (uint256);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721Upgradeable is IERC165Upgradeable {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.0;

import "./IAccessControl.sol";
import "../utils/Context.sol";
import "../utils/Strings.sol";
import "../utils/introspection/ERC165.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```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 AccessControl is Context, IAccessControl, ERC165 {
    struct RoleData {
        mapping(address => bool) members;
        bytes32 adminRole;
    }

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with a standardized message including the required role.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

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

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @dev Revert with a standard message if `_msgSender()` is missing `role`.
     * Overriding this function changes the behavior of the {onlyRole} modifier.
     *
     * Format of the revert message is described in {_checkRole}.
     *
     * _Available since v4.6._
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Revert with a standard message if `account` is missing `role`.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        Strings.toHexString(account),
                        " is missing role ",
                        Strings.toHexString(uint256(role), 32)
                    )
                )
            );
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        require(account == _msgSender(), "AccessControl: can only renounce roles for self");

        _revokeRole(role, account);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event. Note that unlike {grantRole}, this function doesn't perform any
     * checks on the calling account.
     *
     * May emit a {RoleGranted} event.
     *
     * [WARNING]
     * ====
     * This function should only be called from the constructor when setting
     * up the initial roles for the system.
     *
     * Using this function in any other way is effectively circumventing the admin
     * system imposed by {AccessControl}.
     * ====
     *
     * NOTE: This function is deprecated in favor of {_grantRole}.
     */
    function _setupRole(bytes32 role, address account) internal virtual {
        _grantRole(role, account);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (access/AccessControlEnumerable.sol)

pragma solidity ^0.8.0;

import "./IAccessControlEnumerable.sol";
import "./AccessControl.sol";
import "../utils/structs/EnumerableSet.sol";

/**
 * @dev Extension of {AccessControl} that allows enumerating the members of each role.
 */
abstract contract AccessControlEnumerable is IAccessControlEnumerable, AccessControl {
    using EnumerableSet for EnumerableSet.AddressSet;

    mapping(bytes32 => EnumerableSet.AddressSet) private _roleMembers;

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

    /**
     * @dev Returns one of the accounts that have `role`. `index` must be a
     * value between 0 and {getRoleMemberCount}, non-inclusive.
     *
     * Role bearers are not sorted in any particular way, and their ordering may
     * change at any point.
     *
     * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
     * you perform all queries on the same block. See the following
     * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
     * for more information.
     */
    function getRoleMember(bytes32 role, uint256 index) public view virtual override returns (address) {
        return _roleMembers[role].at(index);
    }

    /**
     * @dev Returns the number of accounts that have `role`. Can be used
     * together with {getRoleMember} to enumerate all bearers of a role.
     */
    function getRoleMemberCount(bytes32 role) public view virtual override returns (uint256) {
        return _roleMembers[role].length();
    }

    /**
     * @dev Overload {_grantRole} to track enumerable memberships
     */
    function _grantRole(bytes32 role, address account) internal virtual override {
        super._grantRole(role, account);
        _roleMembers[role].add(account);
    }

    /**
     * @dev Overload {_revokeRole} to track enumerable memberships
     */
    function _revokeRole(bytes32 role, address account) internal virtual override {
        super._revokeRole(role, account);
        _roleMembers[role].remove(account);
    }
}

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

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControl {
    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes32 role, address account) external;
}

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

pragma solidity ^0.8.0;

import "./IAccessControl.sol";

/**
 * @dev External interface of AccessControlEnumerable declared to support ERC165 detection.
 */
interface IAccessControlEnumerable is IAccessControl {
    /**
     * @dev Returns one of the accounts that have `role`. `index` must be a
     * value between 0 and {getRoleMemberCount}, non-inclusive.
     *
     * Role bearers are not sorted in any particular way, and their ordering may
     * change at any point.
     *
     * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
     * you perform all queries on the same block. See the following
     * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
     * for more information.
     */
    function getRoleMember(bytes32 role, uint256 index) external view returns (address);

    /**
     * @dev Returns the number of accounts that have `role`. Can be used
     * together with {getRoleMember} to enumerate all bearers of a role.
     */
    function getRoleMemberCount(bytes32 role) external view returns (uint256);
}

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

pragma solidity ^0.8.0;

import "./IERC20.sol";
import "./extensions/IERC20Metadata.sol";
import "../../utils/Context.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is Context, IERC20, IERC20Metadata {
    mapping(address => uint256) private _balances;

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

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

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

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

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

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

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

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

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

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

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

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

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

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

        return true;
    }

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

        _beforeTokenTransfer(from, to, amount);

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

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.4) (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) (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 v4.9.3) (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) (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 v4.9.4) (utils/Context.sol)

pragma solidity ^0.8.0;

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

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

    function _contextSuffixLength() internal view virtual returns (uint256) {
        return 0;
    }
}

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

pragma solidity ^0.8.0;

import "./IERC165.sol";

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

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

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (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 v4.8.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

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

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

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

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

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

pragma solidity ^0.8.0;

import "./math/Math.sol";
import "./math/SignedMath.sol";

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = Math.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toString(int256 value) internal pure returns (string memory) {
        return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.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, Math.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }

    /**
     * @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 (last updated v4.9.0) (utils/structs/EnumerableSet.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```solidity
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableSet.
 * ====
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastValue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastValue;
                // Update the index for the moved value
                set._indexes[lastValue] = valueIndex; // Replace lastValue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function _values(Set storage set) private view returns (bytes32[] memory) {
        return set._values;
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
        bytes32[] memory store = _values(set._inner);
        bytes32[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(AddressSet storage set) internal view returns (address[] memory) {
        bytes32[] memory store = _values(set._inner);
        address[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(UintSet storage set) internal view returns (uint256[] memory) {
        bytes32[] memory store = _values(set._inner);
        uint256[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

interface IGauge {
    function notifyRewardAmount(address token, uint amount) external;

    function getReward(address account, address[] memory tokens) external;

    function getReward(address account) external;

    function claimFees() external returns (uint claimed0, uint claimed1);

    function rewardRate(address _pair) external view returns (uint);

    function balanceOf(address _account) external view returns (uint);

    function isForPair() external view returns (bool);

    function totalSupply() external view returns (uint);

    function earned(address token, address account) external view returns (uint);

    function stakeToken() external view returns (address);

    function setDistribution(address _distro) external;

    function addRewardToken(address _rewardToken) external;

    function removeRewardToken(address _rewardToken) external;

    function updateRewardToken() external;

    function activateEmergencyMode() external;

    function stopEmergencyMode() external;

    function setInternalBribe(address intbribe) external;

    function setGaugeRewarder(address _gr) external;

    function setFeeVault(address _feeVault) external;

    function depositWithLock(address account, uint256 amount, uint256 _lockDuration) external;

    function sweepTokens(address[] memory tokens, uint256[] memory amounts, address to) external;

    function initialize(address _rewardToken,address _ve,address _stakeToken,address _distribution, address _internal_bribe, address _external_bribe, bool _isForPair) external;
    
    }

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

interface IPair {
    function metadata() external view returns (uint dec0, uint dec1, uint r0, uint r1, bool st, address t0, address t1);
    function claimFees() external returns (uint, uint);
    function tokens() external view returns (address, address);
    function token0() external view returns (address);
    function token1() external view returns (address);
    function fees() external view returns (address);
    function transferFrom(address src, address dst, uint amount) external returns (bool);
    function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
    function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
    function burn(address to) external returns (uint amount0, uint amount1);
    function mint(address to) external returns (uint liquidity);
    function getReserves() external view returns (uint _reserve0, uint _reserve1, uint _blockTimestampLast);
    function getAmountOut(uint amountIn, address tokenIn) external view returns (uint);

    function name() external view returns(string memory);
    function symbol() external view returns(string memory);
    function totalSupply() external view returns (uint);
    function decimals() external view returns (uint8);

    function claimable0(address _user) external view returns (uint);
    function claimable1(address _user) external view returns (uint);

    function isStable() external view returns(bool);


}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

interface IRouter { 
    function factory() external view returns (address);
    function pairFor(address tokenA, address tokenB, bool stable) external view returns (address pair);
    function addLiquidity(address tokenA,address tokenB,bool stable,uint amountADesired,uint amountBDesired,uint amountAMin,uint amountBMin,address to,uint deadline) external returns (uint amountA, uint amountB, uint liquidity);
    function getReserves(address tokenA, address tokenB, bool stable) external view returns (uint reserveA, uint reserveB);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

interface IVersionable {
    function VERSION() external view returns (string memory);
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

interface IVoter {
    function length() external view returns (uint);
    function pools(uint index) external view returns (address);
    function isAlive(address _gauge) external view returns (bool);
    function ve() external view returns (address);
    function gauges(address _pair) external view returns (address);
    function isGauge(address _gauge) external view returns (bool);
    function poolForGauge(address _gauge) external view returns (address);
    function factory() external view returns (address);
    function minter() external view returns(address);
    function isWhitelisted(address token) external view returns (bool);
    function notifyRewardAmount(uint amount) external;
    function distributeAll() external;
    function distribute(address[] memory _gauges) external;
    function distributeFees(address[] memory _gauges) external;

    function internal_bribes(address _gauge) external view returns (address);
    function external_bribes(address _gauge) external view returns (address);

    function usedWeights(uint id) external view returns(uint);
    function lastVoted(uint id) external view returns(uint);
    function poolVote(uint id, uint _index) external view returns(address _pair);
    function votes(uint id, address _pool) external view returns(uint votes);
    function poolVoteLength(uint tokenId) external view returns(uint);
    
    function attachTokenToGauge(uint _tokenId, address account) external;
    function detachTokenFromGauge(uint _tokenId, address account) external;
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

library Math {
    function max(uint a, uint b) internal pure returns (uint) {
        return a >= b ? a : b;
    }
    function min(uint a, uint b) internal pure returns (uint) {
        return a < b ? a : b;
    }
    function sqrt(uint y) internal pure returns (uint z) {
        if (y > 3) {
            z = y;
            uint x = y / 2 + 1;
            while (x < z) {
                z = x;
                x = (y / x + x) / 2;
            }
        } else if (y != 0) {
            z = 1;
        }
    }
    function cbrt(uint256 n) internal pure returns (uint256) { unchecked {
        uint256 x = 0;
        for (uint256 y = 1 << 255; y > 0; y >>= 3) {
            x <<= 1;
            uint256 z = 3 * x * (x + 1) + 1;
            if (n / y >= z) {
                n -= y * z;
                x += 1;
            }
        }
        return x;
    }}
    function sub(uint x, uint y) internal pure returns (uint z) {
        require((z = x - y) <= x, 'Math: Sub-underflow');
    }
    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: GPL-3.0-only
pragma solidity >=0.7.0;

interface IDynamicTwapOracle {
    /**
     * @notice Get the address of the pool
     * @return The address of the pool
     */
    function pool() external view returns (address);

    /**
     * @notice Get the address of the first token in the pool
     * @return The address of the first token
     */
    function token0() external view returns (address);
    
    /**
     * @notice Get the address of the second token in the pool
     * @return The address of the second token
     */
    function token1() external view returns (address);

    /**
     * @notice Estimate the output amount of a trade
     * @param tokenIn The address of the input token
     * @param amountIn The amount of the input token
     * @param secondsAgo The number of seconds ago to start the TWAP
     * @return amountOut The estimated output amount
     */
    function estimateAmountOut(
        address tokenIn,
        uint128 amountIn,
        uint32 secondsAgo
    ) external view returns (uint amountOut);
}

// SPDX-License-Identifier: GPL-3.0-only
pragma solidity 0.8.13;

import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {IAccessControl} from "@openzeppelin/contracts/access/IAccessControl.sol";

interface IOption is IAccessControl {
    function paymentToken() external view returns (IERC20);

    function getPaymentAmount(uint256 _amount, bytes calldata _data) external view returns (uint256);

    function exercise(uint256 _amount, address sender, bytes calldata _data) external returns (uint256);
}

// SPDX-License-Identifier: GPL-3.0-only
pragma solidity 0.8.13;

interface IOptionFeeDistributor {
    function distribute(address token, uint256 amount) external;
}

// SPDX-License-Identifier: GPL-3.0-only
pragma solidity 0.8.13;

import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {IAccessControl} from "@openzeppelin/contracts/access/IAccessControl.sol";
import {IDynamicTwapOracle} from "./DynamicTwapOracle/IDynamicTwapOracle.sol";
import {IOptionFeeDistributor} from "./IOptionFeeDistributor.sol";
import {IPair} from "../interfaces/IPair.sol";
import {IOption} from "./IOption.sol";

interface IOptionTokenV3_1 is IERC20, IAccessControl {
    function ADMIN_ROLE() external view returns (bytes32);

    function MINTER_ROLE() external view returns (bytes32);

    function PAUSER_ROLE() external view returns (bytes32);

    function paymentToken() external view returns (IERC20);

    function UNDERLYING_TOKEN() external view returns (IERC20);

    function voter() external view returns (address);

    function mint(address _to, uint256 _amount) external;

    function exercise(uint256 _amount, uint256 _maxPaymentAmount, address _recipient) external returns (uint256);

    function exercise(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient,
        uint256 _deadline
    ) external returns (uint256);

    function exerciseVe(
        uint256 _amount,
        uint256 _maxPaymentAmount,
        address _recipient,
        uint256 _discount,
        uint256 _deadline
    ) external returns (uint256, uint256);

    function exerciseLp(
        uint256 _oTokenRedeemAmount,
        uint256 _maxPaymentAmountForExercise,
        uint256 _maxPaymentAmountToAddLiquidity,
        uint256 _minPaymentAmountToAddLiquidity,
        address _recipient,
        uint256 _discount,
        uint256 _deadline
    ) external returns (uint256, uint256);

    function exerciseExternal(
        IOption _option,
        uint256 _amount,
        uint256 _deadline,
        bytes calldata _data
    ) external returns (uint256);

    function getVotingEscrow() external view returns (address votingEscrow);

    function getLockDurationForVeDiscount(uint256 _discount) external view returns (uint256 duration);

    function getSlopeInterceptForVeDiscount() external view returns (int256 slope, int256 intercept);

    function togglePermissionedMint() external;

    function toggleExternalOption(address option, bool enabled) external;

    function getDiscountedPrice(uint256 _amount) external view returns (uint256);

    function getDiscountedPrice(uint256 _amount, uint256 _discount) external view returns (uint256);

    function getLockDurationForLpDiscount(uint256 _amount) external view returns (uint256);

    function getPaymentTokenAmountForExerciseLp(
        uint256 _amount,
        uint256 _discount
    ) external view returns (uint256, uint256);

    function getSlopeInterceptForLpDiscount() external view returns (int256, int256);

    function getTimeWeightedAveragePrice(uint256 _amount) external view returns (uint256);

    function setPaymentConfiguration(IPair _pair, IDynamicTwapOracle _twapOracle, address _paymentToken) external;

    function setFeeDistributor(IOptionFeeDistributor _feeDistributor) external;

    function setDiscount(uint256 _discount) external;

    function setVeMaxDiscount(uint256 _veMaxDiscount) external;

    function setVeMinDiscount(uint256 _veMinDiscount) external;

    function setMinLPDiscount(uint256 _lpMinDiscount) external;

    function setMaxLPDiscount(uint256 _lpMaxDiscount) external;

    function setLockDurationForMaxLpDiscount(uint256 _duration) external;

    function setLockDurationForMinLpDiscount(uint256 _duration) external;

    function setTwapSeconds(uint32 _twapSeconds) external;

    function burn(uint256 _amount) external;

    function updateGauge() external;

    function setGauge(address _gauge) external;

    function setRouter(address _router) external;

    function unPause() external;

    function pause() external;
}

// SPDX-License-Identifier: CC0-1.0
pragma solidity ^0.8.0;
import "@openzeppelin/contracts-upgradeable/token/ERC721/IERC721Upgradeable.sol";
/**
 * @title Non-Fungible Vesting Token Standard.
 * @notice A non-fungible token standard used to vest ERC-20 tokens over a vesting release curve
 *  scheduled using timestamps.
 * @dev Because this standard relies on timestamps for the vesting schedule, it's important to keep track of the
 *  tokens claimed per Vesting NFT so that a user cannot withdraw more tokens than allotted for a specific Vesting NFT.
 * @custom:interface-id 0xbd3a202b
 */
interface IERC5725Upgradeable is IERC721Upgradeable {
    /**
     *  This event is emitted when the payout is claimed through the claim function.
     *  @param tokenId the NFT tokenId of the assets being claimed.
     *  @param recipient The address which is receiving the payout.
     *  @param claimAmount The amount of tokens being claimed.
     */
    event PayoutClaimed(uint256 indexed tokenId, address indexed recipient, uint256 claimAmount);

    /**
     *  This event is emitted when an `owner` sets an address to manage token claims for all tokens.
     *  @param owner The address setting a manager to manage all tokens.
     *  @param spender The address being permitted to manage all tokens.
     *  @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    event ClaimApprovalForAll(address indexed owner, address indexed spender, bool approved);

    /**
     *  This event is emitted when an `owner` sets an address to manage token claims for a `tokenId`.
     *  @param owner The `owner` of `tokenId`.
     *  @param spender The address being permitted to manage a tokenId.
     *  @param tokenId The unique identifier of the token being managed.
     *  @param approved A boolean indicating whether the spender is approved to claim for `tokenId`.
     */
    event ClaimApproval(address indexed owner, address indexed spender, uint256 indexed tokenId, bool approved);

    /**
     * @notice Claim the pending payout for the NFT.
     * @dev MUST grant the claimablePayout value at the time of claim being called to `msg.sender`.
     *  MUST revert if not called by the token owner or approved users.
     *  MUST emit PayoutClaimed.
     *  SHOULD revert if there is nothing to claim.
     * @param tokenId The NFT token id.
     */
    function claim(uint256 tokenId) external;

    /**
     * @notice Number of tokens for the NFT which have been claimed at the current timestamp.
     * @param tokenId The NFT token id.
     * @return payout The total amount of payout tokens claimed for this NFT.
     */
    function claimedPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Number of tokens for the NFT which can be claimed at the current timestamp.
     * @dev It is RECOMMENDED that this is calculated as the `vestedPayout()` subtracted from `payoutClaimed()`.
     * @param tokenId The NFT token id.
     * @return payout The amount of unlocked payout tokens for the NFT which have not yet been claimed.
     */
    function claimablePayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Total amount of tokens which have been vested at the current timestamp.
     *  This number also includes vested tokens which have been claimed.
     * @dev It is RECOMMENDED that this function calls `vestedPayoutAtTime`
     *  with `block.timestamp` as the `timestamp` parameter.
     * @param tokenId The NFT token id.
     * @return payout Total amount of tokens which have been vested at the current timestamp.
     */
    function vestedPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Total amount of vested tokens at the provided timestamp.
     *  This number also includes vested tokens which have been claimed.
     * @dev `timestamp` MAY be both in the future and in the past.
     *  Zero MUST be returned if the timestamp is before the token was minted.
     * @param tokenId The NFT token id.
     * @param timestamp The timestamp to check on, can be both in the past and the future.
     * @return payout Total amount of tokens which have been vested at the provided timestamp.
     */
    function vestedPayoutAtTime(uint256 tokenId, uint256 timestamp) external view returns (uint256 payout);

    /**
     * @notice Number of tokens for an NFT which are currently vesting.
     * @dev The sum of vestedPayout and vestingPayout SHOULD always be the total payout.
     * @param tokenId The NFT token id.
     * @return payout The number of tokens for the NFT which are vesting until a future date.
     */
    function vestingPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice The start and end timestamps for the vesting of the provided NFT.
     *  MUST return the timestamp where no further increase in vestedPayout occurs for `vestingEnd`.
     * @param tokenId The NFT token id.
     * @return vestingStart The beginning of the vesting as a unix timestamp.
     * @return vestingEnd The ending of the vesting as a unix timestamp.
     */
    function vestingPeriod(uint256 tokenId) external view returns (uint256 vestingStart, uint256 vestingEnd);

    /**
     * @notice Token which is used to pay out the vesting claims.
     * @param tokenId The NFT token id.
     * @return token The token which is used to pay out the vesting claims.
     */
    function payoutToken(uint256 tokenId) external view returns (address token);

    /**
     * @notice Sets a global `operator` with permission to manage all tokens owned by the current `msg.sender`.
     * @param operator The address to let manage all tokens.
     * @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    function setClaimApprovalForAll(address operator, bool approved) external;

    /**
     * @notice Sets a tokenId `operator` with permission to manage a single `tokenId` owned by the `msg.sender`.
     * @param operator The address to let manage a single `tokenId`.
     * @param tokenId the `tokenId` to be managed.
     * @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    function setClaimApproval(address operator, bool approved, uint256 tokenId) external;

    /**
     * @notice Returns true if `owner` has set `operator` to manage all `tokenId`s.
     * @param owner The owner allowing `operator` to manage all `tokenId`s.
     * @param operator The address who is given permission to spend tokens on behalf of the `owner`.
     */
    function isClaimApprovedForAll(address owner, address operator) external view returns (bool isClaimApproved);

    /**
     * @notice Returns the operating address for a `tokenId`.
     *  If `tokenId` is not managed, then returns the zero address.
     * @param tokenId The NFT `tokenId` to query for a `tokenId` manager.
     */
    function getClaimApproved(uint256 tokenId) external view returns (address operator);
}

interface IERC5725_ExtendedApproval is IERC5725Upgradeable {
    /**
     * @notice Returns true if `operator` is allowed to transfer the `tokenId` NFT.
     * @param operator The address to check if it is approved for the transfer
     * @param tokenId The token id to check if the operator is approved for
     */
    function isApprovedOrOwner(address operator, uint tokenId) external view returns (bool);

    /**
     * @notice Returns true if `operator` is allowed to claim for the provided tokenId
     * @param operator The address to check if it is approved for the claim or owner of the token
     * @param tokenId The token id to check if the operator is approved for
     */
    function isApprovedClaimOrOwner(address operator, uint256 tokenId) external view returns (bool);
}

// 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._
 */
interface IVotes {
    /**
     * @dev Emitted when an account changes their delegate.
     */
    event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);

    /**
     * @dev Emitted when a token transfer or delegate change results in changes to a delegate's number of votes.
     */
    event DelegateVotesChanged(address indexed delegate, uint256 previousBalance, uint256 newBalance);

    /**
     * @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);

    /**
     * @dev Delegates votes from the sender to `delegatee`.
     */
    function delegate(address delegatee) external;

    /**
     * @notice Removed from the interface to avoid signature conflicts.
     * @dev Delegates votes from signer to `delegatee`.
     */
    // function delegateBySig(address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s) external;
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

import {IVotes} from "./interfaces/IVotes.sol";
import {Checkpoints} from "./libraries/Checkpoints.sol";
import {IERC5725_ExtendedApproval} from "./erc5725/IERC5725Upgradeable.sol";
import {IERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
import {IERC721EnumerableUpgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC721/extensions/IERC721EnumerableUpgradeable.sol";
import {IVersionable} from "../../interfaces/IVersionable.sol";

/**
 * @title Voting Escrow V2 Interface for Upgrades
 */
interface IVotingEscrowV2 is IVotes, IERC5725_ExtendedApproval, IERC721EnumerableUpgradeable, IVersionable {
    struct LockDetails {
        uint256 amount; /// @dev amount of tokens locked
        uint256 startTime; /// @dev when locking started
        uint256 endTime; /// @dev when locking ends
        bool isPermanent; /// @dev if its a permanent lock
    }

    /// -----------------------------------------------------------------------
    /// Events
    /// -----------------------------------------------------------------------

    event SupplyUpdated(uint256 oldSupply, uint256 newSupply);
    /// @notice Lock events
    event LockCreated(uint256 indexed tokenId, address indexed to, uint256 value, uint256 unlockTime, bool isPermanent);
    event LockUpdated(uint256 indexed tokenId, uint256 value, uint256 unlockTime, bool isPermanent);
    event LockMerged(
        uint256 indexed fromTokenId,
        uint256 indexed toTokenId,
        uint256 totalValue,
        uint256 unlockTime,
        bool isPermanent
    );
    event LockSplit(uint256[] splitWeights, uint256 indexed _tokenId);
    event LockDurationExtended(uint256 indexed tokenId, uint256 newUnlockTime, bool isPermanent);
    event LockAmountIncreased(uint256 indexed tokenId, uint256 value);
    event UnlockPermanent(uint256 indexed tokenId, address indexed sender, uint256 unlockTime);
    /// @notice Delegate events
    event LockDelegateChanged(
        uint256 indexed tokenId,
        address indexed delegator,
        address fromDelegate,
        address indexed toDelegate
    );

    /// -----------------------------------------------------------------------
    /// Errors
    /// -----------------------------------------------------------------------

    error AlreadyVoted();
    error InvalidNonce();
    error InvalidDelegatee();
    error InvalidSignature();
    error InvalidSignatureS();
    error InvalidWeights();
    error LockDurationNotInFuture();
    error LockDurationTooLong();
    error LockExpired();
    error LockNotExpired();
    error LockHoldsValue();
    error LockModifiedDelay();
    error NotPermanentLock();
    error PermanentLock();
    error PermanentLockMismatch();
    error SameNFT();
    error SignatureExpired();
    error ZeroAmount();
    error NotLockOwner();

    function supply() external view returns (uint);

    function token() external view returns (IERC20Upgradeable);

    function totalNftsMinted() external view returns (uint256);

    function balanceOfNFT(uint256 _tokenId) external view returns (uint256);

    function balanceOfNFTAt(uint256 _tokenId, uint256 _timestamp) external view returns (uint256);

    function delegates(uint256 tokenId, uint48 timestamp) external view returns (address);

    function lockDetails(uint256 tokenId) external view returns (LockDetails calldata);

    function getPastEscrowPoint(
        uint256 _tokenId,
        uint256 _timePoint
    ) external view returns (Checkpoints.Point memory, uint48);

    function getFirstEscrowPoint(uint256 _tokenId) external view returns (Checkpoints.Point memory, uint48);

    function checkpoint() external;

    function increaseAmount(uint256 _tokenId, uint256 _value) external;

    function createLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        bool _permanent
    ) external returns (uint256);

    function createDelegatedLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        address _delegatee,
        bool _permanent
    ) external returns (uint256);

    function split(uint256[] memory _weights, uint256 _tokenId) external;

    function merge(uint256 _from, uint256 _to) external;

    function burn(uint256 _tokenId) external;

    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT
// This file was derived from OpenZeppelin Contracts (last updated v5.0.0) (utils/structs/Checkpoints.sol)

pragma solidity 0.8.13;

import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";

/**
 * @dev This library defines the `Trace*` 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.Trace*` in your contract, and store a new
 * checkpoint for the current transaction block using the {push} function.
 */
library Checkpoints {
    struct Trace {
        Checkpoint[] _checkpoints;
    }

    /**
     * @dev Struct to keep track of the voting power over time.
     */
    struct Point {
        /// @dev The voting power at a specific time
        /// - MUST never be negative.
        int128 bias;
        /// @dev The rate at which the voting power decreases over time.
        int128 slope;
        /// @dev The value of tokens which do not decrease over time, representing permanent voting power
        /// - MUST never be negative.
        int128 permanent;
    }

    struct Checkpoint {
        uint48 _key;
        Point _value;
    }

    /**
     * @dev A value was attempted to be inserted on a past checkpoint.
     */
    error CheckpointUnorderedInsertions();

    /**
     * @dev Pushes a (`key`, `value`) pair into a Trace so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     *
     * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
     * library.
     */
    function push(Trace storage self, uint48 key, Point memory value) internal returns (Point memory, Point memory) {
        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(Trace storage self, uint48 key) internal view returns (Point memory) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? blankPoint() : _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(
        Trace storage self,
        uint48 key
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);

        exists = pos != 0;
        _value = exists ? _unsafeAccess(self._checkpoints, pos - 1)._value : blankPoint();
        _key = exists ? _unsafeAccess(self._checkpoints, pos - 1)._key : 0;
    }

    /**
     * @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(
        Trace storage self,
        uint48 key
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

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

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

        exists = pos != 0;
        _value = exists ? _unsafeAccess(self._checkpoints, pos - 1)._value : blankPoint();
        _key = exists ? _unsafeAccess(self._checkpoints, pos - 1)._key : 0;
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(Trace storage self) internal view returns (Point memory) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? blankPoint() : _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(
        Trace storage self
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, blankPoint());
        } else {
            Checkpoint memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._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 firstCheckpoint(
        Trace storage self
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, blankPoint());
        } else {
            Checkpoint memory ckpt = _unsafeAccess(self._checkpoints, 0);
            return (true, ckpt._key, ckpt._value);
        }
    }

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

    /**
     * @dev Returns checkpoint at given position.
     */
    function at(Trace storage self, uint48 pos) internal view returns (Checkpoint memory) {
        return self._checkpoints[pos];
    }

    /**
     * @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,
        uint48 key,
        Point memory value
    ) private returns (Point memory, Point memory) {
        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.
            if (last._key > key) {
                revert CheckpointUnorderedInsertions();
            }

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(Checkpoint({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(Checkpoint({_key: key, _value: value}));
            return (blankPoint(), 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,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.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(
        Checkpoint[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.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(Checkpoint[] storage self, uint256 pos) private view returns (Checkpoint storage result) {
        return self[pos];
    }

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

    function blankPoint() internal pure returns (Point memory) {
        return Point({bias: 0, slope: 0, permanent: 0});
    }

    struct TraceAddress {
        CheckpointAddress[] _checkpoints;
    }

    struct CheckpointAddress {
        uint48 _key;
        address _value;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into a TraceAddress so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     *
     * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
     * library.
     */
    function push(TraceAddress storage self, uint48 key, address value) internal returns (address, address) {
        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(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? address(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(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
        return pos == 0 ? address(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(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - Math.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 ? address(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(TraceAddress storage self) internal view returns (address) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? address(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(
        TraceAddress storage self
    ) internal view returns (bool exists, uint48 _key, address _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, address(0));
        } else {
            CheckpointAddress memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._value);
        }
    }

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

    /**
     * @dev Returns checkpoint at given position.
     */
    function at(TraceAddress storage self, uint48 pos) internal view returns (CheckpointAddress memory) {
        return self._checkpoints[pos];
    }

    /**
     * @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(CheckpointAddress[] storage self, uint48 key, address value) private returns (address, address) {
        uint256 pos = self.length;

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

            // Checkpoint keys must be non-decreasing.
            if (last._key > key) {
                revert CheckpointUnorderedInsertions();
            }

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(CheckpointAddress({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(CheckpointAddress({_key: key, _value: value}));
            return (address(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(
        CheckpointAddress[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.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(
        CheckpointAddress[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.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(
        CheckpointAddress[] storage self,
        uint256 pos
    ) private pure returns (CheckpointAddress storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }
}

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

• No Contract Security Audit Submitted- Submit Audit Here

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