{
  "language": "Solidity",
  "sources": {
    "contracts/Peronio.sol": {
      "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.17;\n\n// OpenZeppelin imports\nimport {AccessControl} from \"@openzeppelin/contracts_latest/access/AccessControl.sol\";\nimport {ReentrancyGuard} from \"@openzeppelin/contracts_latest/security/ReentrancyGuard.sol\";\nimport {ERC20} from \"@openzeppelin/contracts_latest/token/ERC20/ERC20.sol\";\nimport {IERC20} from \"@openzeppelin/contracts_latest/token/ERC20/IERC20.sol\";\nimport {ERC20Permit} from \"@openzeppelin/contracts_latest/token/ERC20/extensions/draft-ERC20Permit.sol\";\nimport {ERC20Burnable} from \"@openzeppelin/contracts_latest/token/ERC20/extensions/ERC20Burnable.sol\";\nimport {SafeERC20} from \"@openzeppelin/contracts_latest/token/ERC20/utils/SafeERC20.sol\";\nimport {ERC165} from \"@openzeppelin/contracts/utils/introspection/ERC165.sol\";\n\n// QiDao\nimport {IFarm} from \"./qidao/IFarm.sol\";\n\n// UniSwap\nimport {IERC20Uniswap} from \"./uniswap/interfaces/IERC20Uniswap.sol\";\nimport {IUniswapV2Pair} from \"./uniswap/interfaces/IUniswapV2Pair.sol\";\nimport {IUniswapV2Router02} from \"./uniswap/interfaces/IUniswapV2Router02.sol\";\n\n// Interface & support\nimport \"./PeronioSupport.sol\";\n\nstring constant NAME = \"Peronio\";\nstring constant SYMBOL = \"P\";\n\ncontract Peronio is IPeronio, ERC20, ERC20Burnable, ERC20Permit, ERC165, AccessControl, ReentrancyGuard {\n    using SafeERC20 for IERC20;\n\n    // Roles\n    RoleId public constant override MARKUP_ROLE = RoleId.wrap(keccak256(\"MARKUP_ROLE\"));\n    RoleId public constant override REWARDS_ROLE = RoleId.wrap(keccak256(\"REWARDS_ROLE\"));\n    RoleId public constant override MIGRATOR_ROLE = RoleId.wrap(keccak256(\"MIGRATOR_ROLE\"));\n\n    // USDC Token Address\n    address public immutable override usdcAddress;\n    // MAI Token Address\n    address public immutable override maiAddress;\n    // LP USDC/MAI Address from QuickSwap\n    address public immutable override lpAddress;\n    // QI Token Address\n    address public immutable override qiAddress;\n\n    // QuickSwap Router Address\n    address public immutable override quickSwapRouterAddress;\n\n    // QiDao Farm Address\n    address public immutable override qiDaoFarmAddress;\n    // QiDao Pool ID\n    uint256 public immutable override qiDaoPoolId;\n\n    // Constant number of significant decimals\n    uint8 private constant DECIMALS = 6;\n\n    // One-hour constant\n    uint256 private constant ONE_HOUR = 60 * 60; /* 60 minutes * 60 seconds */\n\n    // Rational constant one\n    RatioWith6Decimals private constant ONE = RatioWith6Decimals.wrap(10**DECIMALS);\n\n    // Fees\n    RatioWith6Decimals public override markupFee = RatioWith6Decimals.wrap(50000); // 5.00%\n    RatioWith6Decimals public override swapFee = RatioWith6Decimals.wrap(1500); // 0.15%\n\n    // Initialization can only be run once\n    bool public override initialized;\n\n    /**\n     * Allow execution by the default admin only\n     *\n     */\n    modifier onlyAdminRole() {\n        _checkRole(DEFAULT_ADMIN_ROLE);\n        _;\n    }\n\n    /**\n     * Allow execution by the markup-setter only\n     *\n     */\n    modifier onlyMarkupRole() {\n        _checkRole(RoleId.unwrap(MARKUP_ROLE));\n        _;\n    }\n\n    /**\n     * Allow execution by the rewards-reaper only\n     *\n     */\n    modifier onlyRewardsRole() {\n        _checkRole(RoleId.unwrap(REWARDS_ROLE));\n        _;\n    }\n\n    /**\n     * Allow execution by the migrator only\n     *\n     */\n    modifier onlyMigratorRole() {\n        _checkRole(RoleId.unwrap(MIGRATOR_ROLE));\n        _;\n    }\n\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n    // --- Public Interface -----------------------------------------------------------------------------------------------------------------------------------\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Construct a new Peronio contract\n     *\n     * @param _usdcAddress  Address used for the USDC tokens in vault\n     * @param _maiAddress  Address used for the MAI tokens in vault\n     * @param _lpAddress  LP Address for MAI/USDC\n     * @param _qiAddress  Address used for the QI tokens in vault\n     * @param _quickSwapRouterAddress  Address of the QuickSwap Router to talk to\n     * @param _qiDaoFarmAddress  Address of the QiDao Farm to use\n     * @param _qiDaoPoolId  Pool ID within the QiDao Farm\n     */\n    constructor(\n        address _usdcAddress,\n        address _maiAddress,\n        address _lpAddress,\n        address _qiAddress,\n        address _quickSwapRouterAddress,\n        address _qiDaoFarmAddress,\n        uint256 _qiDaoPoolId\n    ) ERC20(NAME, SYMBOL) ERC20Permit(NAME) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address sender = _msgSender();\n\n        // Stablecoin Addresses\n        usdcAddress = _usdcAddress;\n        maiAddress = _maiAddress;\n\n        // LP USDC/MAI Address\n        lpAddress = _lpAddress;\n\n        // Router Address\n        quickSwapRouterAddress = _quickSwapRouterAddress;\n\n        // QiDao Data\n        qiDaoFarmAddress = _qiDaoFarmAddress;\n        qiDaoPoolId = _qiDaoPoolId;\n        qiAddress = _qiAddress;\n\n        // Grant roles\n        _setupRole(DEFAULT_ADMIN_ROLE, sender);\n        _setupRole(RoleId.unwrap(MARKUP_ROLE), sender);\n        _setupRole(RoleId.unwrap(REWARDS_ROLE), sender);\n        _setupRole(RoleId.unwrap(MIGRATOR_ROLE), sender);\n    }\n\n    /**\n     * Implementation of the IERC165 interface\n     *\n     * @param interfaceId  Interface ID to check against\n     * @return  Whether the provided interface ID is supported\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override(AccessControl, ERC165) returns (bool) {\n        return interfaceId == type(IPeronio).interfaceId || super.supportsInterface(interfaceId);\n    }\n\n    // --- Decimals -------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the number of decimals the PE token will work with\n     *\n     * @return decimals_  This will always be 6\n     */\n    function decimals() public view virtual override(ERC20, IPeronio) returns (uint8 decimals_) {\n        decimals_ = DECIMALS;\n    }\n\n    // --- Markup fee change ----------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Set the markup fee to the given value (take into account that this will use `DECIMALS` decimals implicitly)\n     *\n     * @param newMarkupFee  New markup fee value\n     * @return prevMarkupFee  Previous markup fee value\n     * @custom:emit  MarkupFeeUpdated\n     */\n    function setMarkupFee(RatioWith6Decimals newMarkupFee) external override onlyMarkupRole returns (RatioWith6Decimals prevMarkupFee) {\n        (prevMarkupFee, markupFee) = (markupFee, newMarkupFee);\n\n        emit MarkupFeeUpdated(_msgSender(), newMarkupFee);\n    }\n\n    // --- Initialization -------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Initialize the PE token by providing collateral USDC tokens - initial conversion rate will be set at the given starting ratio\n     *\n     * @param usdcAmount  Number of collateral USDC tokens\n     * @param startingRatio  Initial minting ratio in PE tokens per USDC tokens minted (including DECIMALS)\n     * @custom:emit  Initialized\n     */\n    function initialize(UsdcQuantity usdcAmount, PePerUsdcQuantity startingRatio) external override onlyAdminRole {\n        // Prevent double initialization\n        require(!initialized, \"Contract already initialized\");\n        initialized = true;\n\n        // --- Gas Saving -------------------------------------------------------------------------\n        IERC20 maiERC20 = IERC20(maiAddress);\n        IERC20 usdcERC20 = IERC20(usdcAddress);\n        IERC20 lpERC20 = IERC20(lpAddress);\n        IERC20 qiERC20 = IERC20(qiAddress);\n        address sender = _msgSender();\n        address _quickSwapRouterAddress = quickSwapRouterAddress;\n        uint256 maxVal = type(uint256).max;\n\n        // Transfer initial USDC amount from user to current contract\n        usdcERC20.safeTransferFrom(sender, address(this), UsdcQuantity.unwrap(usdcAmount));\n\n        // Unlimited ERC20 approval for Router\n        maiERC20.approve(_quickSwapRouterAddress, maxVal);\n        usdcERC20.approve(_quickSwapRouterAddress, maxVal);\n        lpERC20.approve(_quickSwapRouterAddress, maxVal);\n        qiERC20.approve(_quickSwapRouterAddress, maxVal);\n\n        // Commit the complete initial USDC amount\n        _zapIn(usdcAmount);\n        usdcAmount = _stakedValue();\n\n        // Mints exactly startingRatio for each collateral USDC token\n        _mint(sender, PeQuantity.unwrap(mulDiv(usdcAmount, startingRatio, ONE)));\n\n        emit Initialized(sender, usdcAmount, startingRatio);\n    }\n\n    // --- State views ----------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the USDC and MAI token reserves present in QuickSwap\n     *\n     * @return usdcReserves  Number of USDC tokens in reserve\n     * @return maiReserves  Number of MAI tokens in reserve\n     */\n    function getLpReserves() external view override returns (UsdcQuantity usdcReserves, MaiQuantity maiReserves) {\n        (usdcReserves, maiReserves) = _getLpReserves();\n    }\n\n    /**\n     * Return the number of LP USDC/MAI tokens on stake at QiDao's Farm\n     *\n     * @return lpAmount  Number of LP USDC/MAI token on stake\n     */\n    function stakedBalance() external view override returns (LpQuantity lpAmount) {\n        lpAmount = _stakedBalance();\n    }\n\n    /**\n     * Return the number of USDC and MAI tokens on stake at QiDao's Farm\n     *\n     * @return usdcAmount  Number of USDC tokens on stake\n     * @return maiAmount  Number of MAI tokens on stake\n     */\n    function stakedTokens() external view override returns (UsdcQuantity usdcAmount, MaiQuantity maiAmount) {\n        (usdcAmount, maiAmount) = _stakedTokens();\n    }\n\n    /**\n     * Return the equivalent number of USDC tokens on stake at QiDao's Farm\n     *\n     * @return usdcAmount  Total equivalent number of USDC token on stake\n     */\n    function stakedValue() external view override returns (UsdcQuantity usdcAmount) {\n        usdcAmount = _stakedValue();\n    }\n\n    /**\n     * Return the _collateralized_ price in USDC tokens per PE token\n     *\n     * @return price  Collateralized price in USDC tokens per PE token\n     */\n    function usdcPrice() external view override returns (PePerUsdcQuantity price) {\n        price = mulDiv(ONE, _totalSupply(), _stakedValue());\n    }\n\n    /**\n     * Return the effective _minting_ price in USDC tokens per PE token\n     *\n     * @return price  Minting price in USDC tokens per PE token\n     */\n    function buyingPrice() external view override returns (UsdcPerPeQuantity price) {\n        price = mulDiv(_collateralRatio(), add(ONE, markupFee), ONE);\n    }\n\n    /**\n     * Return the ratio of total number of USDC tokens per PE token\n     *\n     * @return ratio  Ratio of USDC tokens per PE token, with `_decimal` decimals\n     */\n    function collateralRatio() external view override returns (UsdcPerPeQuantity ratio) {\n        ratio = _collateralRatio();\n    }\n\n    // --- State changers -------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Mint PE tokens using the provided USDC tokens as collateral\n     *\n     * @param to  The address to transfer the minted PE tokens to\n     * @param usdcAmount  Number of USDC tokens to use as collateral\n     * @param minReceive  The minimum number of PE tokens to mint\n     * @return peAmount  The number of PE tokens actually minted\n     * @custom:emit  Minted\n     */\n    function mint(\n        address to,\n        UsdcQuantity usdcAmount,\n        PeQuantity minReceive\n    ) external override nonReentrant returns (PeQuantity peAmount) {\n        peAmount = _mintPe(to, usdcAmount, minReceive, markupFee);\n    }\n\n    /**\n     * Mint PE tokens using the provided USDC tokens as collateral --- used by the migrators in order not to incur normal fees\n     *\n     * @param to  The address to transfer the minted PE tokens to\n     * @param usdcAmount  Number of USDC tokens to use as collateral\n     * @param minReceive  The minimum number of PE tokens to mint\n     * @return peAmount  The number of PE tokens actually minted\n     * @custom:emit  Minted\n     */\n    function mintForMigration(\n        address to,\n        UsdcQuantity usdcAmount,\n        PeQuantity minReceive\n    ) external override nonReentrant onlyMigratorRole returns (PeQuantity peAmount) {\n        peAmount = _mintPe(to, usdcAmount, minReceive, RatioWith6Decimals.wrap(0));\n    }\n\n    /**\n     * Extract the given number of PE tokens as USDC tokens\n     *\n     * @param to  Address to deposit extracted USDC tokens into\n     * @param peAmount  Number of PE tokens to withdraw\n     * @return usdcTotal  Number of USDC tokens extracted\n     * @custom:emit  Withdrawal\n     */\n    function withdraw(address to, PeQuantity peAmount) external override nonReentrant returns (UsdcQuantity usdcTotal) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address sender = _msgSender();\n\n        // Calculate equivalent number of LP USDC/MAI tokens for the given burnt PE tokens\n        LpQuantity lpAmount = mulDiv(peAmount, _stakedBalance(), _totalSupply());\n\n        // Extract the given number of LP USDC/MAI tokens as USDC tokens\n        usdcTotal = _zapOut(lpAmount);\n\n        // Transfer USDC tokens the the given address\n        IERC20(usdcAddress).safeTransfer(to, UsdcQuantity.unwrap(usdcTotal));\n\n        // Burn the given number of PE tokens\n        _burn(sender, PeQuantity.unwrap(peAmount));\n\n        emit Withdrawal(sender, usdcTotal, peAmount);\n    }\n\n    /**\n     * Extract the given number of PE tokens as LP USDC/MAI tokens\n     *\n     * @param to  Address to deposit extracted LP USDC/MAI tokens into\n     * @param peAmount  Number of PE tokens to withdraw liquidity for\n     * @return lpAmount  Number of LP USDC/MAI tokens extracted\n     * @custom:emit LiquidityWithdrawal\n     */\n    function withdrawLiquidity(address to, PeQuantity peAmount) external override nonReentrant returns (LpQuantity lpAmount) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address sender = _msgSender();\n\n        // Calculate equivalent number of LP USDC/MAI tokens for the given burnt PE tokens\n        lpAmount = mulDiv(peAmount, _stakedBalance(), _totalSupply());\n\n        // Get LP USDC/MAI tokens out of QiDao's Farm\n        _unstakeLP(lpAmount);\n\n        // Transfer LP USDC/MAI tokens to the given address\n        IERC20(lpAddress).safeTransfer(to, LpQuantity.unwrap(lpAmount));\n\n        // Burn the given number of PE tokens\n        _burn(sender, PeQuantity.unwrap(peAmount));\n\n        emit LiquidityWithdrawal(sender, lpAmount, peAmount);\n    }\n\n    // --- Rewards --------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the rewards accrued by staking LP USDC/MAI tokens in QiDao's Farm (in QI tokens)\n     *\n     * @return qiAmount  Number of QI tokens accrued\n     */\n    function getPendingRewardsAmount() external view override returns (QiQuantity qiAmount) {\n        qiAmount = _getPendingRewardsAmount();\n    }\n\n    /**\n     * Claim QiDao's QI token rewards, and re-invest them in the QuickSwap liquidity pool and QiDao's Farm\n     *\n     * @return usdcAmount  The number of USDC tokens being re-invested\n     * @return lpAmount  The number of LP USDC/MAI tokens being put on stake\n     * @custom:emit CompoundRewards\n     */\n    function compoundRewards() external override onlyRewardsRole returns (UsdcQuantity usdcAmount, LpQuantity lpAmount) {\n        // Claim rewards from QiDao's Farm\n        IFarm(qiDaoFarmAddress).deposit(qiDaoPoolId, 0);\n\n        // Retrieve the number of QI tokens rewarded and swap them to USDC tokens\n        QiQuantity amount = QiQuantity.wrap(IERC20(qiAddress).balanceOf(address(this)));\n        _swapTokens(amount);\n\n        // Commit all USDC tokens so converted to the QuickSwap liquidity pool\n        usdcAmount = UsdcQuantity.wrap(IERC20(usdcAddress).balanceOf(address(this)));\n        lpAmount = _zapIn(usdcAmount);\n\n        emit CompoundRewards(amount, usdcAmount, lpAmount);\n    }\n\n    // --- Quotes ---------------------------------------------------------------------------------------------------------------------------------------------\n    //\n    // Quotes are created by inlining the calls to mint (for quoteIn) and withdraw (for quoteOut), and discarding state-changing statements\n    //\n\n    /**\n     * Retrieve the expected number of PE tokens corresponding to the given number of USDC tokens for minting.\n     *\n     * @dev This method was obtained by _inlining_ the call to mint() across contracts, and cleaning up the result.\n     *\n     * @param usdc  Number of USDC tokens to quote for\n     * @return pe  Number of PE tokens quoted for the given number of USDC tokens\n     */\n    function quoteIn(UsdcQuantity usdc) external view override returns (PeQuantity pe) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address _lpAddress = lpAddress;\n\n        // retrieve LP state (simulations will modify these)\n        (UsdcQuantity usdcReserves, MaiQuantity maiReserves) = _getLpReserves();\n        LpQuantity lpTotalSupply = LpQuantity.wrap(IERC20(_lpAddress).totalSupply());\n\n        // -- SPLIT -------------------------------------------------------------------------------\n        UsdcQuantity usdcAmount = _calculateSwapInAmount(usdcReserves, usdc);\n        MaiQuantity maiAmount = _getAmountOut(usdcAmount, usdcReserves, maiReserves);\n\n        // simulate LP state update\n        usdcReserves = add(usdcReserves, usdcAmount);\n        maiReserves = sub(maiReserves, maiAmount);\n\n        // -- SWAP --------------------------------------------------------------------------------\n\n        // calculate actual values swapped\n        {\n            MaiQuantity amountMaiOptimal = mulDiv(sub(usdc, usdcAmount), maiReserves, usdcReserves);\n            if (lte(amountMaiOptimal, maiAmount)) {\n                (usdcAmount, maiAmount) = (sub(usdc, usdcAmount), amountMaiOptimal);\n            } else {\n                UsdcQuantity amountUsdcOptimal = mulDiv(maiAmount, usdcReserves, maiReserves);\n                (usdcAmount, maiAmount) = (amountUsdcOptimal, maiAmount);\n            }\n        }\n\n        // deal with LP minting when changing its K\n        {\n            UniSwapRootKQuantity rootK = sqrt(mul(usdcReserves, maiReserves));\n            UniSwapRootKQuantity rootKLast = sqrt(UniSwapKQuantity.wrap(IUniswapV2Pair(_lpAddress).kLast()));\n            if (lt(rootKLast, rootK)) {\n                lpTotalSupply = add(lpTotalSupply, mulDiv(lpTotalSupply, sub(rootK, rootKLast), add(mul(rootK, 5), rootKLast)));\n            }\n        }\n\n        // calculate LP values actually provided\n        LpQuantity zapInLps;\n        {\n            LpQuantity maiCandidate = mulDiv(maiAmount, lpTotalSupply, maiReserves);\n            LpQuantity usdcCandidate = mulDiv(usdcAmount, lpTotalSupply, usdcReserves);\n            zapInLps = min(maiCandidate, usdcCandidate);\n        }\n\n        // -- PERONIO -----------------------------------------------------------------------------\n        LpQuantity lpAmount = mulDiv(zapInLps, sub(ONE, _totalMintFee(markupFee)), ONE);\n        pe = mulDiv(lpAmount, _totalSupply(), _stakedBalance());\n    }\n\n    /**\n     * Retrieve the expected number of USDC tokens corresponding to the given number of PE tokens for withdrawal.\n     *\n     * @dev This method was obtained by _inlining_ the call to withdraw() across contracts, and cleaning up the result.\n     *\n     * @param pe  Number of PE tokens to quote for\n     * @return usdc  Number of USDC tokens quoted for the given number of PE tokens\n     */\n    function quoteOut(PeQuantity pe) external view override returns (UsdcQuantity usdc) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address _lpAddress = lpAddress;\n\n        (UsdcQuantity usdcReserves, MaiQuantity maiReserves) = _getLpReserves();\n        LpQuantity lpTotalSupply = LpQuantity.wrap(IERC20(_lpAddress).totalSupply());\n\n        // deal with LP minting when changing its K\n        {\n            UniSwapRootKQuantity rootK = sqrt(mul(usdcReserves, maiReserves));\n            UniSwapRootKQuantity rootKLast = sqrt(UniSwapKQuantity.wrap(IUniswapV2Pair(_lpAddress).kLast()));\n            if (lt(rootKLast, rootK)) {\n                lpTotalSupply = add(lpTotalSupply, mulDiv(lpTotalSupply, sub(rootK, rootKLast), add(mul(rootK, 5), rootKLast)));\n            }\n        }\n\n        // calculate LP values actually withdrawn\n        LpQuantity lpAmount = add(LpQuantity.wrap(IERC20Uniswap(_lpAddress).balanceOf(_lpAddress)), mulDiv(pe, _stakedBalance(), _totalSupply()));\n\n        UsdcQuantity usdcAmount = mulDiv(usdcReserves, lpAmount, lpTotalSupply);\n        MaiQuantity maiAmount = mulDiv(maiReserves, lpAmount, lpTotalSupply);\n\n        usdc = add(usdcAmount, _getAmountOut(maiAmount, sub(maiReserves, maiAmount), sub(usdcReserves, usdcAmount)));\n    }\n\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n    // --- Private Interface ----------------------------------------------------------------------------------------------------------------------------------\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the number of PE tokens in existence\n     *\n     * @return peAmount  Number of PE tokens in existence\n     */\n    function _totalSupply() internal view returns (PeQuantity peAmount) {\n        peAmount = PeQuantity.wrap(totalSupply());\n    }\n\n    /**\n     * Return the USDC and MAI token reserves present in QuickSwap\n     *\n     * @return usdcReserves  Number of USDC tokens in reserve\n     * @return maiReserves  Number of MAI tokens in reserve\n     */\n    function _getLpReserves() internal view returns (UsdcQuantity usdcReserves, MaiQuantity maiReserves) {\n        (uint112 reserve0, uint112 reserve1, ) = IUniswapV2Pair(lpAddress).getReserves();\n        (usdcReserves, maiReserves) = usdcAddress < maiAddress\n            ? (UsdcQuantity.wrap(reserve0), MaiQuantity.wrap(reserve1))\n            : (UsdcQuantity.wrap(reserve1), MaiQuantity.wrap(reserve0));\n    }\n\n    /**\n     * Return the number of LP USDC/MAI tokens on stake at QiDao's Farm\n     *\n     * @return lpAmount  Number of LP USDC/MAI token on stake\n     */\n    function _stakedBalance() internal view returns (LpQuantity lpAmount) {\n        lpAmount = LpQuantity.wrap(IFarm(qiDaoFarmAddress).deposited(qiDaoPoolId, address(this)));\n    }\n\n    /**\n     * Return the number of USDC and MAI tokens on stake at QiDao's Farm\n     *\n     * @return usdcAmount  Number of USDC tokens on stake\n     * @return maiAmount  Number of MAI tokens on stake\n     */\n    function _stakedTokens() internal view returns (UsdcQuantity usdcAmount, MaiQuantity maiAmount) {\n        LpQuantity lpAmount = _stakedBalance();\n        LpQuantity lpTotalSupply = LpQuantity.wrap(IERC20(lpAddress).totalSupply());\n\n        (UsdcQuantity usdcReserves, MaiQuantity maiReserves) = _getLpReserves();\n\n        usdcAmount = mulDiv(lpAmount, usdcReserves, lpTotalSupply);\n        maiAmount = mulDiv(lpAmount, maiReserves, lpTotalSupply);\n    }\n\n    /**\n     * Return the equivalent number of USDC tokens on stake at QiDao's Farm\n     *\n     * This method will return the equivalent number of USDC tokens for the number of USDC and MAI tokens on stake.\n     *\n     * @return totalUSDC  Total equivalent number of USDC token on stake\n     */\n    function _stakedValue() internal view returns (UsdcQuantity totalUSDC) {\n        (UsdcQuantity usdcReserves, MaiQuantity maiReserves) = _getLpReserves();\n        (UsdcQuantity usdcAmount, MaiQuantity maiAmount) = _stakedTokens();\n\n        // Simulate Swap\n        totalUSDC = add(usdcAmount, _getAmountOut(maiAmount, maiReserves, usdcReserves));\n    }\n\n    /**\n     * Return the ratio of total number of USDC tokens per PE token\n     *\n     * @return ratio  Ratio of USDC tokens per PE token, with `_decimal` decimals\n     */\n    function _collateralRatio() internal view returns (UsdcPerPeQuantity ratio) {\n        ratio = mulDiv(ONE, _stakedValue(), _totalSupply());\n    }\n\n    /**\n     * Return the total minting fee to apply\n     *\n     * @return totalFee  The total fee to apply on minting\n     */\n    function _totalMintFee(RatioWith6Decimals _markupFee) internal view returns (RatioWith6Decimals totalFee) {\n        // Retrieve the deposit fee from QiDao's Farm (this is always expressed with 4 decimals, as \"basic points\")\n        // Convert these \"basic points\" to `DECIMALS` precision\n        (, , , , uint16 depositFeeBP) = IFarm(qiDaoFarmAddress).poolInfo(qiDaoPoolId);\n        RatioWith6Decimals depositFee = ratio4to6(RatioWith4Decimals.wrap(depositFeeBP));\n\n        // Calculate total fee to apply\n        // (ie. the swapFee and the depositFee are included in the total markup fee, thus, we don't double charge for both the markup fee itself\n        // and the swap and deposit fees)\n        totalFee = max(_markupFee, add(swapFee, depositFee));\n    }\n\n    /**\n     * Actually mint PE tokens using the provided USDC tokens as collateral, applying the given markup fee\n     *\n     * @param to  The address to transfer the minted PE tokens to\n     * @param usdcAmount  Number of USDC tokens to use as collateral\n     * @param minReceive  The minimum number of PE tokens to mint\n     * @param _markupFee  The markup fee to apply\n     * @return peAmount  The number of PE tokens actually minted\n     * @custom:emit  Minted\n     */\n    function _mintPe(\n        address to,\n        UsdcQuantity usdcAmount,\n        PeQuantity minReceive,\n        RatioWith6Decimals _markupFee\n    ) internal returns (PeQuantity peAmount) {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address sender = _msgSender();\n\n        // Transfer USDC tokens as collateral to this contract\n        IERC20(usdcAddress).safeTransferFrom(sender, address(this), UsdcQuantity.unwrap(usdcAmount));\n\n        // Remember the previously staked balance\n        LpQuantity stakedAmount = _stakedBalance();\n\n        // Commit USDC tokens, and discount fees totalling the markup fee\n        LpQuantity lpAmount = mulDiv(_zapIn(usdcAmount), sub(ONE, _totalMintFee(_markupFee)), ONE);\n\n        // Calculate the number of PE tokens as the proportion of liquidity provided\n        peAmount = mulDiv(lpAmount, _totalSupply(), stakedAmount);\n\n        require(lte(minReceive, peAmount), \"Minimum required not met\");\n\n        // Actually mint the PE tokens\n        _mint(to, PeQuantity.unwrap(peAmount));\n\n        emit Minted(sender, usdcAmount, peAmount);\n    }\n\n    /**\n     * Commit the given number of USDC tokens\n     *\n     * This method will:\n     *   1. split the given USDC amount into USDC/MAI amounts so as to provide balanced liquidity,\n     *   2. add the given amounts of USDC and MAI tokens to the liquidity pool, and obtain LP USDC/MAI tokens in return, and\n     *   3. stake the given LP USDC/MAI tokens in QiDao's Farm so as to accrue rewards therein.\n     *\n     * @param usdcAmount  Number of USDC tokens to commit\n     * @return lpAmount  Number of LP USDC/MAI tokens committed\n     */\n    function _zapIn(UsdcQuantity usdcAmount) internal returns (LpQuantity lpAmount) {\n        MaiQuantity maiAmount;\n\n        (usdcAmount, maiAmount) = _splitUSDC(usdcAmount);\n        lpAmount = _addLiquidity(usdcAmount, maiAmount);\n        _stakeLP(lpAmount);\n    }\n\n    /**\n     * Extract the given number of LP USDC/MAI tokens\n     *\n     * This method will:\n     *   1. unstake the given number of LP USDC/MAI tokens from QuiDao's Farm,\n     *   2. remove the liquidity provided by the given number of LP USDC/MAI tokens from the liquidity pool, and\n     *   3. convert the MAI tokens back into USDC tokens.\n     *\n     * @param lpAmount  Number of LP USDC/MAI tokens to extract\n     * @return usdcAmount  Number of extracted USDC tokens\n     */\n    function _zapOut(LpQuantity lpAmount) internal returns (UsdcQuantity usdcAmount) {\n        MaiQuantity maiAmount;\n\n        _unstakeLP(lpAmount);\n        (usdcAmount, maiAmount) = _removeLiquidity(lpAmount);\n        usdcAmount = _unsplitUSDC(usdcAmount, maiAmount);\n    }\n\n    /**\n     * Given a USDC token amount, split a portion of it into MAI tokens so as to provide balanced liquidity\n     *\n     * @param amount  Number of USDC tokens to split\n     * @return usdcAmount  Number of resulting USDC tokens\n     * @return maiAmount  Number of resulting MAI tokens\n     */\n    function _splitUSDC(UsdcQuantity amount) internal returns (UsdcQuantity usdcAmount, MaiQuantity maiAmount) {\n        (UsdcQuantity usdcReserves, ) = _getLpReserves();\n        UsdcQuantity amountToSwap = _calculateSwapInAmount(usdcReserves, amount);\n\n        require(lt(UsdcQuantity.wrap(0), amountToSwap), \"Nothing to swap\");\n\n        maiAmount = _swapTokens(amountToSwap);\n        usdcAmount = sub(amount, amountToSwap);\n    }\n\n    /**\n     * Given a USDC token amount and a MAI token amount, swap MAIs into USDCs and consolidate\n     *\n     * @param amount  Number of USDC tokens to consolidate with\n     * @param maiAmount  Number of MAI tokens to consolidate in\n     * @return usdcAmount  Consolidated USDC amount\n     */\n    function _unsplitUSDC(UsdcQuantity amount, MaiQuantity maiAmount) internal returns (UsdcQuantity usdcAmount) {\n        usdcAmount = add(amount, _swapTokens(maiAmount));\n    }\n\n    /**\n     * Add liquidity to the QuickSwap Liquidity Pool, as much as indicated by the given pair od USDC/MAI amounts\n     *\n     * @param usdcAmount  Number of USDC tokens to add\n     * @param maiAmount  Number of MAI tokens to add\n     * @return lpAmount  Number of LP USDC/MAI tokens obtained\n     */\n    function _addLiquidity(UsdcQuantity usdcAmount, MaiQuantity maiAmount) internal returns (LpQuantity lpAmount) {\n        (, , uint256 _lpAmount) = IUniswapV2Router02(quickSwapRouterAddress).addLiquidity(\n            usdcAddress,\n            maiAddress,\n            UsdcQuantity.unwrap(usdcAmount),\n            MaiQuantity.unwrap(maiAmount),\n            1,\n            1,\n            address(this),\n            block.timestamp + ONE_HOUR\n        );\n        lpAmount = LpQuantity.wrap(_lpAmount);\n    }\n\n    /**\n     * Remove liquidity from the QuickSwap Liquidity Pool, as much as indicated by the given amount of LP tokens\n     *\n     * @param lpAmount  Number of LP USDC/MAI tokens to withdraw\n     * @return usdcAmount  Number of USDC tokens withdrawn\n     * @return maiAmount  Number of MAI tokens withdrawn\n     */\n    function _removeLiquidity(LpQuantity lpAmount) internal returns (UsdcQuantity usdcAmount, MaiQuantity maiAmount) {\n        (uint256 _usdcAmount, uint256 _maiAmount) = IUniswapV2Router02(quickSwapRouterAddress).removeLiquidity(\n            usdcAddress,\n            maiAddress,\n            LpQuantity.unwrap(lpAmount),\n            1,\n            1,\n            address(this),\n            block.timestamp + ONE_HOUR\n        );\n        (usdcAmount, maiAmount) = (UsdcQuantity.wrap(_usdcAmount), MaiQuantity.wrap(_maiAmount));\n    }\n\n    /**\n     * Deposit the given number of LP tokens into QiDao's Farm\n     *\n     * @param lpAmount  Number of LP USDC/MAI tokens to deposit into QiDao's Farm\n     */\n    function _stakeLP(LpQuantity lpAmount) internal {\n        // --- Gas Saving -------------------------------------------------------------------------\n        address _qiDaoFarmAddress = qiDaoFarmAddress;\n\n        IERC20(lpAddress).approve(_qiDaoFarmAddress, LpQuantity.unwrap(lpAmount));\n        IFarm(_qiDaoFarmAddress).deposit(qiDaoPoolId, LpQuantity.unwrap(lpAmount));\n    }\n\n    /**\n     * Remove the given number of LP tokens from QiDao's Farm\n     *\n     * @param lpAmount  Number of LP USDC/MAI tokens to remove from QiDao's Farm\n     */\n    function _unstakeLP(LpQuantity lpAmount) internal {\n        IFarm(qiDaoFarmAddress).withdraw(qiDaoPoolId, LpQuantity.unwrap(lpAmount));\n    }\n\n    /**\n     * Return the rewards accrued by staking LP USDC/MAI tokens in QiDao's Farm (in QI tokens)\n     *\n     * @return qiAmount  Number of QI tokens accrued\n     */\n    function _getPendingRewardsAmount() internal view returns (QiQuantity qiAmount) {\n        // Get rewards on Farm\n        qiAmount = QiQuantity.wrap(IFarm(qiDaoFarmAddress).pending(qiDaoPoolId, address(this)));\n    }\n\n    /**\n     * Swap the given number of MAI tokens to USDC\n     *\n     * @param maiAmount  Number of MAI tokens to swap\n     * @return usdcAmount  Number of USDC tokens obtained\n     */\n    function _swapTokens(MaiQuantity maiAmount) internal returns (UsdcQuantity usdcAmount) {\n        usdcAmount = UsdcQuantity.wrap(_swapTokens(maiAddress, usdcAddress, MaiQuantity.unwrap(maiAmount)));\n    }\n\n    /**\n     * Swap the given number of USDC tokens to MAI\n     *\n     * @param usdcAmount  Number of USDC tokens to swap\n     * @return maiAmount  Number of MAI tokens obtained\n     */\n    function _swapTokens(UsdcQuantity usdcAmount) internal returns (MaiQuantity maiAmount) {\n        maiAmount = MaiQuantity.wrap(_swapTokens(usdcAddress, maiAddress, UsdcQuantity.unwrap(usdcAmount)));\n    }\n\n    /**\n     * Swap the given number of QI tokens to USDC\n     *\n     * @param qiAmount  Number of QI tokens to swap\n     * @return usdcAmount  Number of USDC tokens obtained\n     */\n    function _swapTokens(QiQuantity qiAmount) internal returns (UsdcQuantity usdcAmount) {\n        usdcAmount = UsdcQuantity.wrap(_swapTokens(qiAddress, usdcAddress, QiQuantity.unwrap(qiAmount)));\n    }\n\n    /**\n     * Swap the given amount of tokens from the given \"from\" address to the given \"to\" address via QuickSwap, and return the amount of \"to\" tokens swapped\n     *\n     * @param fromAddress  Address to get swap tokens from\n     * @param toAddress  Address to get swap tokens to\n     * @param amount  Amount of tokens to swap (from)\n     * @return swappedAmount  Amount of tokens deposited in addressTo\n     */\n    function _swapTokens(\n        address fromAddress,\n        address toAddress,\n        uint256 amount\n    ) internal returns (uint256 swappedAmount) {\n        address[] memory path = new address[](2);\n        (path[0], path[1]) = (fromAddress, toAddress);\n\n        swappedAmount = IUniswapV2Router02(quickSwapRouterAddress).swapExactTokensForTokens(amount, 1, path, address(this), block.timestamp + ONE_HOUR)[1];\n    }\n\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n    // --- UniSwap Simulation ---------------------------------------------------------------------------------------------------------------------------------\n    // --------------------------------------------------------------------------------------------------------------------------------------------------------\n\n    function _calculateSwapInAmount(UsdcQuantity reserveIn, UsdcQuantity userIn) internal pure returns (UsdcQuantity amount) {\n        amount = sub(sqrt(mulDiv(add(mul(3988009, reserveIn), mul(3988000, userIn)), reserveIn, 3976036)), mulDiv(reserveIn, 1997, 1994));\n    }\n\n    function _getAmountOut(\n        uint256 amountIn,\n        uint256 reserveIn,\n        uint256 reserveOut\n    ) internal pure returns (uint256 amountOut) {\n        uint256 amountInWithFee = amountIn * 997;\n        amountOut = Math.mulDiv(amountInWithFee, reserveOut, reserveIn * 1000 + amountInWithFee);\n    }\n\n    function _getAmountOut(\n        MaiQuantity amountIn,\n        MaiQuantity reserveIn,\n        UsdcQuantity reserveOut\n    ) internal pure returns (UsdcQuantity) {\n        return UsdcQuantity.wrap(_getAmountOut(MaiQuantity.unwrap(amountIn), MaiQuantity.unwrap(reserveIn), UsdcQuantity.unwrap(reserveOut)));\n    }\n\n    function _getAmountOut(\n        UsdcQuantity amountIn,\n        UsdcQuantity reserveIn,\n        MaiQuantity reserveOut\n    ) internal pure returns (MaiQuantity amountOut) {\n        return MaiQuantity.wrap(_getAmountOut(UsdcQuantity.unwrap(amountIn), UsdcQuantity.unwrap(reserveIn), MaiQuantity.unwrap(reserveOut)));\n    }\n}\n"
    },
    "contracts/qidao/IFarm.sol": {
      "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.17;\n\ninterface IFarm {\n    function add(\n        uint256 _allocPoint,\n        address _lpToken,\n        bool _withUpdate,\n        uint16 _depositFeeBP\n    ) external;\n\n    function deposit(uint256 _pid, uint256 _amount) external;\n\n    function deposited(uint256 _pid, address _user) external view returns (uint256);\n\n    function emergencyWithdraw(uint256 _pid) external;\n\n    function endBlock() external view returns (uint256);\n\n    function erc20() external view returns (address);\n\n    function feeAddress() external view returns (address);\n\n    function fund(uint256 _amount) external;\n\n    function massUpdatePools() external;\n\n    function owner() external view returns (address);\n\n    function paidOut() external view returns (uint256);\n\n    function pending(uint256 _pid, address _user) external view returns (uint256);\n\n    function poolInfo(uint256)\n        external\n        view\n        returns (\n            address lpToken,\n            uint256 allocPoint,\n            uint256 lastRewardBlock,\n            uint256 accERC20PerShare,\n            uint16 depositFeeBP\n        );\n\n    function poolLength() external view returns (uint256);\n\n    function renounceOwnership() external;\n\n    function rewardPerBlock() external view returns (uint256);\n\n    function set(\n        uint256 _pid,\n        uint256 _allocPoint,\n        bool _withUpdate\n    ) external;\n\n    function setFeeAddress(address _feeAddress) external;\n\n    function startBlock() external view returns (uint256);\n\n    function totalAllocPoint() external view returns (uint256);\n\n    function totalPending() external view returns (uint256);\n\n    function transferOwnership(address newOwner) external;\n\n    function updatePool(uint256 _pid) external;\n\n    function userInfo(uint256, address) external view returns (uint256 amount, uint256 rewardDebt);\n\n    function withdraw(uint256 _pid, uint256 _amount) external;\n}\n"
    },
    "contracts/uniswap/interfaces/IERC20Uniswap.sol": {
      "content": "// SPDX-License-Identifier: GPL-3.0\n\npragma solidity ^0.8.17;\n\ninterface IERC20Uniswap {\n    event Approval(address indexed owner, address indexed spender, uint256 value);\n    event Transfer(address indexed from, address indexed to, uint256 value);\n\n    function name() external view returns (string memory);\n\n    function symbol() external view returns (string memory);\n\n    function decimals() external view returns (uint8);\n\n    function totalSupply() external view returns (uint256);\n\n    function balanceOf(address owner) external view returns (uint256);\n\n    function allowance(address owner, address spender) external view returns (uint256);\n\n    function approve(address spender, uint256 value) external returns (bool);\n\n    function transfer(address to, uint256 value) external returns (bool);\n\n    function transferFrom(\n        address from,\n        address to,\n        uint256 value\n    ) external returns (bool);\n}\n"
    },
    "contracts/uniswap/interfaces/IUniswapV2Pair.sol": {
      "content": "// SPDX-License-Identifier: GPL-3.0\n\npragma solidity ^0.8.17;\n\ninterface IUniswapV2Pair {\n    event Approval(address indexed owner, address indexed spender, uint256 value);\n    event Transfer(address indexed from, address indexed to, uint256 value);\n\n    function NAME() external pure returns (string memory);\n\n    function SYMBOL() external pure returns (string memory);\n\n    function DECIMALS() external pure returns (uint8);\n\n    function totalSupply() external view returns (uint256);\n\n    function balanceOf(address owner) external view returns (uint256);\n\n    function allowance(address owner, address spender) external view returns (uint256);\n\n    function approve(address spender, uint256 value) external returns (bool);\n\n    function transfer(address to, uint256 value) external returns (bool);\n\n    function transferFrom(\n        address from,\n        address to,\n        uint256 value\n    ) external returns (bool);\n\n    function DOMAIN_SEPARATOR() external view returns (bytes32);\n\n    function PERMIT_TYPEHASH() external pure returns (bytes32);\n\n    function nonces(address owner) external view returns (uint256);\n\n    function permit(\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external;\n\n    event Mint(address indexed sender, uint256 amount0, uint256 amount1);\n    event Burn(address indexed sender, uint256 amount0, uint256 amount1, address indexed to);\n    event Swap(address indexed sender, uint256 amount0In, uint256 amount1In, uint256 amount0Out, uint256 amount1Out, address indexed to);\n    event Sync(uint112 reserve0, uint112 reserve1);\n\n    function MINIMUM_LIQUIDITY() external pure returns (uint256);\n\n    function factory() external view returns (address);\n\n    function token0() external view returns (address);\n\n    function token1() external view returns (address);\n\n    function getReserves()\n        external\n        view\n        returns (\n            uint112 reserve0,\n            uint112 reserve1,\n            uint32 blockTimestampLast\n        );\n\n    function price0CumulativeLast() external view returns (uint256);\n\n    function price1CumulativeLast() external view returns (uint256);\n\n    function kLast() external view returns (uint256);\n\n    function mint(address to) external returns (uint256 liquidity);\n\n    function burn(address to) external returns (uint256 amount0, uint256 amount1);\n\n    function swap(\n        uint256 amount0Out,\n        uint256 amount1Out,\n        address to,\n        bytes calldata data\n    ) external;\n\n    function skim(address to) external;\n\n    function sync() external;\n\n    function initialize(address, address) external;\n}\n"
    },
    "contracts/uniswap/interfaces/IUniswapV2Router02.sol": {
      "content": "// SPDX-License-Identifier: GPL-3.0\n\npragma solidity ^0.8.17;\n\nimport \"./IUniswapV2Router01.sol\";\n\ninterface IUniswapV2Router02 is IUniswapV2Router01 {\n    function removeLiquidityETHSupportingFeeOnTransferTokens(\n        address token,\n        uint256 liquidity,\n        uint256 amountTokenMin,\n        uint256 amountETHMin,\n        address to,\n        uint256 deadline\n    ) external returns (uint256 amountETH);\n\n    function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(\n        address token,\n        uint256 liquidity,\n        uint256 amountTokenMin,\n        uint256 amountETHMin,\n        address to,\n        uint256 deadline,\n        bool approveMax,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external returns (uint256 amountETH);\n\n    function swapExactTokensForTokensSupportingFeeOnTransferTokens(\n        uint256 amountIn,\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external;\n\n    function swapExactETHForTokensSupportingFeeOnTransferTokens(\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external payable;\n\n    function swapExactTokensForETHSupportingFeeOnTransferTokens(\n        uint256 amountIn,\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external;\n}\n"
    },
    "contracts/PeronioSupport.sol": {
      "content": "pragma solidity ^0.8.17;\n\n// SPDX-License-Identifier: MIT\n\nimport \"./IPeronioSupport.sol\";\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- Implementation-side user defined value types -----------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\ntype UniSwapKQuantity is uint256;\ntype UniSwapRootKQuantity is uint256;\ntype UsdcSqQuantity is uint256;\ntype RatioWith4Decimals is uint256;\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- Standard Numeric Types ---------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n//\n// Standard Numeric Types (SNTs) can be operated with in the same manner as \"normal\" numeric types can.\n// This means that SNTs can:\n//   - be added together,\n//   - be subtracted from each other,\n//   - be multiplied by a scalar value (only uint256 in this implementation) - both on the left and on the right,\n//   - the minimum be calculated among them,\n//   - the maximum be calculated among them,\n//   - the \"==\", \"!=\", \"<=\", \"<\", \">\", and \">=\" relations established between them, and\n// The mulDiv() interactions will be taken care of later.\n//\n\n// --- UniSwap K ----------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(UniSwapKQuantity.unwrap(left) + UniSwapKQuantity.unwrap(right));\n}\n\nfunction sub(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(UniSwapKQuantity.unwrap(left) - UniSwapKQuantity.unwrap(right));\n}\n\nfunction mul(UniSwapKQuantity val, uint256 x) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(UniSwapKQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, UniSwapKQuantity val) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(x * UniSwapKQuantity.unwrap(val));\n}\n\nfunction min(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.min(UniSwapKQuantity.unwrap(left), UniSwapKQuantity.unwrap(right)));\n}\n\nfunction max(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.max(UniSwapKQuantity.unwrap(left), UniSwapKQuantity.unwrap(right)));\n}\n\nfunction eq(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) == UniSwapKQuantity.unwrap(right);\n}\n\nfunction neq(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) != UniSwapKQuantity.unwrap(right);\n}\n\nfunction lt(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) < UniSwapKQuantity.unwrap(right);\n}\n\nfunction gt(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) > UniSwapKQuantity.unwrap(right);\n}\n\nfunction lte(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) <= UniSwapKQuantity.unwrap(right);\n}\n\nfunction gte(UniSwapKQuantity left, UniSwapKQuantity right) pure returns (bool) {\n    return UniSwapKQuantity.unwrap(left) >= UniSwapKQuantity.unwrap(right);\n}\n\n// --- UniSwap rootK ------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(UniSwapRootKQuantity.unwrap(left) + UniSwapRootKQuantity.unwrap(right));\n}\n\nfunction sub(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(UniSwapRootKQuantity.unwrap(left) - UniSwapRootKQuantity.unwrap(right));\n}\n\nfunction mul(UniSwapRootKQuantity val, uint256 x) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(UniSwapRootKQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, UniSwapRootKQuantity val) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(x * UniSwapRootKQuantity.unwrap(val));\n}\n\nfunction min(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.min(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right)));\n}\n\nfunction max(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.max(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right)));\n}\n\nfunction eq(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) == UniSwapRootKQuantity.unwrap(right);\n}\n\nfunction neq(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) != UniSwapRootKQuantity.unwrap(right);\n}\n\nfunction lt(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) < UniSwapRootKQuantity.unwrap(right);\n}\n\nfunction gt(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) > UniSwapRootKQuantity.unwrap(right);\n}\n\nfunction lte(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) <= UniSwapRootKQuantity.unwrap(right);\n}\n\nfunction gte(UniSwapRootKQuantity left, UniSwapRootKQuantity right) pure returns (bool) {\n    return UniSwapRootKQuantity.unwrap(left) >= UniSwapRootKQuantity.unwrap(right);\n}\n\n// --- USDC-squared -------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(UsdcSqQuantity.unwrap(left) + UsdcSqQuantity.unwrap(right));\n}\n\nfunction sub(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(UsdcSqQuantity.unwrap(left) - UsdcSqQuantity.unwrap(right));\n}\n\nfunction mul(UsdcSqQuantity val, uint256 x) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(UsdcSqQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, UsdcSqQuantity val) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(x * UsdcSqQuantity.unwrap(val));\n}\n\nfunction min(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.min(UsdcSqQuantity.unwrap(left), UsdcSqQuantity.unwrap(right)));\n}\n\nfunction max(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.max(UsdcSqQuantity.unwrap(left), UsdcSqQuantity.unwrap(right)));\n}\n\nfunction eq(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) == UsdcSqQuantity.unwrap(right);\n}\n\nfunction neq(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) != UsdcSqQuantity.unwrap(right);\n}\n\nfunction lt(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) < UsdcSqQuantity.unwrap(right);\n}\n\nfunction gt(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) > UsdcSqQuantity.unwrap(right);\n}\n\nfunction lte(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) <= UsdcSqQuantity.unwrap(right);\n}\n\nfunction gte(UsdcSqQuantity left, UsdcSqQuantity right) pure returns (bool) {\n    return UsdcSqQuantity.unwrap(left) >= UsdcSqQuantity.unwrap(right);\n}\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- USDC-squared quantities --------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\nfunction sqrt(UsdcSqQuantity x) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.sqrt(UsdcSqQuantity.unwrap(x)));\n}\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- UniSwap K-values ---------------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\nfunction mul(UsdcQuantity left, MaiQuantity right) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(UsdcQuantity.unwrap(left) * MaiQuantity.unwrap(right));\n}\n\nfunction sqrt(UniSwapKQuantity x) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.sqrt(UniSwapKQuantity.unwrap(x)));\n}\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- Ratio conversion ---------------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\nfunction ratio4to6(RatioWith4Decimals x) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(RatioWith4Decimals.unwrap(x) * 10**2);\n}\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- MulDiv Interactions ------------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\nfunction mulDiv(\n    LpQuantity left,\n    RatioWith4Decimals right,\n    LpQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(LpQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UniSwapKQuantity right,\n    LpQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UniSwapRootKQuantity right,\n    LpQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcSqQuantity right,\n    LpQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    RatioWith4Decimals right,\n    MaiQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(MaiQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UniSwapKQuantity right,\n    MaiQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UniSwapRootKQuantity right,\n    MaiQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcQuantity right,\n    UniSwapKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(MaiQuantity.unwrap(left), UsdcQuantity.unwrap(right), UniSwapKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcQuantity right,\n    uint256 div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcSqQuantity right,\n    MaiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcSqQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcSqQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    RatioWith4Decimals right,\n    PePerUsdcQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UniSwapKQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UniSwapRootKQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcSqQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith4Decimals right,\n    PeQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UniSwapKQuantity right,\n    PeQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UniSwapRootKQuantity right,\n    PeQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcSqQuantity right,\n    PeQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    RatioWith4Decimals right,\n    QiQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(QiQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UniSwapKQuantity right,\n    QiQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UniSwapRootKQuantity right,\n    QiQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcSqQuantity right,\n    QiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    LpQuantity right,\n    RatioWith4Decimals div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), LpQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    MaiQuantity right,\n    RatioWith4Decimals div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), MaiQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    PePerUsdcQuantity right,\n    RatioWith4Decimals div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), PePerUsdcQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    PeQuantity right,\n    RatioWith4Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), PeQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    QiQuantity right,\n    RatioWith4Decimals div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), QiQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    RatioWith6Decimals right,\n    RatioWith4Decimals div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UniSwapKQuantity right,\n    RatioWith4Decimals div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UniSwapKQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UniSwapRootKQuantity right,\n    RatioWith4Decimals div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UniSwapRootKQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcPerPeQuantity right,\n    RatioWith4Decimals div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcPerPeQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcQuantity right,\n    RatioWith4Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcSqQuantity right,\n    RatioWith4Decimals div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcSqQuantity.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    uint256 right,\n    RatioWith4Decimals div\n) pure returns (uint256) {\n    return Math.mulDiv(RatioWith4Decimals.unwrap(left), right, RatioWith4Decimals.unwrap(div));\n}\n\nfunction mulDiv(\n    RatioWith4Decimals left,\n    uint256 right,\n    uint256 div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith4Decimals.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    RatioWith4Decimals right,\n    RatioWith6Decimals div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UniSwapKQuantity right,\n    RatioWith6Decimals div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UniSwapKQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UniSwapRootKQuantity right,\n    RatioWith6Decimals div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UniSwapRootKQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcSqQuantity right,\n    RatioWith6Decimals div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcSqQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    LpQuantity right,\n    UniSwapKQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), LpQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    MaiQuantity right,\n    UniSwapKQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), MaiQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    PePerUsdcQuantity right,\n    UniSwapKQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    PeQuantity right,\n    UniSwapKQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), PeQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    QiQuantity right,\n    UniSwapKQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), QiQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    RatioWith4Decimals right,\n    UniSwapKQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    RatioWith6Decimals right,\n    UniSwapKQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcPerPeQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcQuantity right,\n    MaiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcQuantity right,\n    UsdcSqQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcSqQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    uint256 right,\n    MaiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), right, MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    uint256 right,\n    UniSwapKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UniSwapKQuantity.unwrap(left), right, UniSwapKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    uint256 right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), right, UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    uint256 right,\n    UsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), right, UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapKQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapKQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    LpQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), LpQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    MaiQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), MaiQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    PePerUsdcQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    PeQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), PeQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    QiQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), QiQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    RatioWith4Decimals right,\n    UniSwapRootKQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    RatioWith6Decimals right,\n    UniSwapRootKQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapRootKQuantity right,\n    MaiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapRootKQuantity right,\n    UsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UniSwapRootKQuantity right,\n    uint256 div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcPerPeQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcSqQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    uint256 right,\n    UniSwapRootKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UniSwapRootKQuantity.unwrap(left), right, UniSwapRootKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UniSwapRootKQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UniSwapRootKQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    RatioWith4Decimals right,\n    UsdcPerPeQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UniSwapKQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UniSwapRootKQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UsdcSqQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    MaiQuantity right,\n    UniSwapKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), UniSwapKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    MaiQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    MaiQuantity right,\n    uint256 div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith4Decimals right,\n    UsdcQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapKQuantity right,\n    MaiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapKQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapKQuantity right,\n    UsdcSqQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UniSwapRootKQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcQuantity right,\n    UsdcSqQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcSqQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcQuantity right,\n    uint256 div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcSqQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    LpQuantity right,\n    UsdcSqQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), LpQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    MaiQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), MaiQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    MaiQuantity right,\n    UsdcQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), MaiQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    MaiQuantity right,\n    UsdcSqQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), MaiQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    PePerUsdcQuantity right,\n    UsdcSqQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    PeQuantity right,\n    UsdcSqQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), PeQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    QiQuantity right,\n    UsdcSqQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), QiQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    RatioWith4Decimals right,\n    UsdcSqQuantity div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), RatioWith4Decimals.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    RatioWith6Decimals right,\n    UsdcSqQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UniSwapKQuantity right,\n    UsdcSqQuantity div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UniSwapKQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UniSwapRootKQuantity right,\n    UsdcSqQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UniSwapRootKQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcSqQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UsdcQuantity right,\n    UsdcSqQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    uint256 right,\n    UsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), right, UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    uint256 right,\n    UsdcSqQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UsdcSqQuantity.unwrap(left), right, UsdcSqQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UsdcSqQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(UsdcSqQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    RatioWith4Decimals right,\n    RatioWith4Decimals div\n) pure returns (uint256) {\n    return Math.mulDiv(left, RatioWith4Decimals.unwrap(right), RatioWith4Decimals.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    RatioWith4Decimals right,\n    uint256 div\n) pure returns (RatioWith4Decimals) {\n    return RatioWith4Decimals.wrap(Math.mulDiv(left, RatioWith4Decimals.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapKQuantity right,\n    MaiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(left, UniSwapKQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapKQuantity right,\n    UniSwapKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, UniSwapKQuantity.unwrap(right), UniSwapKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(left, UniSwapKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapKQuantity right,\n    UsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(left, UniSwapKQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapKQuantity right,\n    uint256 div\n) pure returns (UniSwapKQuantity) {\n    return UniSwapKQuantity.wrap(Math.mulDiv(left, UniSwapKQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapRootKQuantity right,\n    UniSwapRootKQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, UniSwapRootKQuantity.unwrap(right), UniSwapRootKQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UniSwapRootKQuantity right,\n    uint256 div\n) pure returns (UniSwapRootKQuantity) {\n    return UniSwapRootKQuantity.wrap(Math.mulDiv(left, UniSwapRootKQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcSqQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(left, UsdcSqQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcSqQuantity right,\n    UsdcSqQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, UsdcSqQuantity.unwrap(right), UsdcSqQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcSqQuantity right,\n    uint256 div\n) pure returns (UsdcSqQuantity) {\n    return UsdcSqQuantity.wrap(Math.mulDiv(left, UsdcSqQuantity.unwrap(right), div));\n}\n"
    },
    "@openzeppelin/contracts_latest/access/AccessControl.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (access/AccessControl.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IAccessControl.sol\";\nimport \"../utils/Context.sol\";\nimport \"../utils/Strings.sol\";\nimport \"../utils/introspection/ERC165.sol\";\n\n/**\n * @dev Contract module that allows children to implement role-based access\n * control mechanisms. This is a lightweight version that doesn't allow enumerating role\n * members except through off-chain means by accessing the contract event logs. Some\n * applications may benefit from on-chain enumerability, for those cases see\n * {AccessControlEnumerable}.\n *\n * Roles are referred to by their `bytes32` identifier. These should be exposed\n * in the external API and be unique. The best way to achieve this is by\n * using `public constant` hash digests:\n *\n * ```\n * bytes32 public constant MY_ROLE = keccak256(\"MY_ROLE\");\n * ```\n *\n * Roles can be used to represent a set of permissions. To restrict access to a\n * function call, use {hasRole}:\n *\n * ```\n * function foo() public {\n *     require(hasRole(MY_ROLE, msg.sender));\n *     ...\n * }\n * ```\n *\n * Roles can be granted and revoked dynamically via the {grantRole} and\n * {revokeRole} functions. Each role has an associated admin role, and only\n * accounts that have a role's admin role can call {grantRole} and {revokeRole}.\n *\n * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means\n * that only accounts with this role will be able to grant or revoke other\n * roles. More complex role relationships can be created by using\n * {_setRoleAdmin}.\n *\n * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to\n * grant and revoke this role. Extra precautions should be taken to secure\n * accounts that have been granted it.\n */\nabstract contract AccessControl is Context, IAccessControl, ERC165 {\n    struct RoleData {\n        mapping(address => bool) members;\n        bytes32 adminRole;\n    }\n\n    mapping(bytes32 => RoleData) private _roles;\n\n    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;\n\n    /**\n     * @dev Modifier that checks that an account has a specific role. Reverts\n     * with a standardized message including the required role.\n     *\n     * The format of the revert reason is given by the following regular expression:\n     *\n     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/\n     *\n     * _Available since v4.1._\n     */\n    modifier onlyRole(bytes32 role) {\n        _checkRole(role);\n        _;\n    }\n\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n        return interfaceId == type(IAccessControl).interfaceId || super.supportsInterface(interfaceId);\n    }\n\n    /**\n     * @dev Returns `true` if `account` has been granted `role`.\n     */\n    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {\n        return _roles[role].members[account];\n    }\n\n    /**\n     * @dev Revert with a standard message if `_msgSender()` is missing `role`.\n     * Overriding this function changes the behavior of the {onlyRole} modifier.\n     *\n     * Format of the revert message is described in {_checkRole}.\n     *\n     * _Available since v4.6._\n     */\n    function _checkRole(bytes32 role) internal view virtual {\n        _checkRole(role, _msgSender());\n    }\n\n    /**\n     * @dev Revert with a standard message if `account` is missing `role`.\n     *\n     * The format of the revert reason is given by the following regular expression:\n     *\n     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/\n     */\n    function _checkRole(bytes32 role, address account) internal view virtual {\n        if (!hasRole(role, account)) {\n            revert(\n                string(\n                    abi.encodePacked(\n                        \"AccessControl: account \",\n                        Strings.toHexString(uint160(account), 20),\n                        \" is missing role \",\n                        Strings.toHexString(uint256(role), 32)\n                    )\n                )\n            );\n        }\n    }\n\n    /**\n     * @dev Returns the admin role that controls `role`. See {grantRole} and\n     * {revokeRole}.\n     *\n     * To change a role's admin, use {_setRoleAdmin}.\n     */\n    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {\n        return _roles[role].adminRole;\n    }\n\n    /**\n     * @dev Grants `role` to `account`.\n     *\n     * If `account` had not been already granted `role`, emits a {RoleGranted}\n     * event.\n     *\n     * Requirements:\n     *\n     * - the caller must have ``role``'s admin role.\n     *\n     * May emit a {RoleGranted} event.\n     */\n    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {\n        _grantRole(role, account);\n    }\n\n    /**\n     * @dev Revokes `role` from `account`.\n     *\n     * If `account` had been granted `role`, emits a {RoleRevoked} event.\n     *\n     * Requirements:\n     *\n     * - the caller must have ``role``'s admin role.\n     *\n     * May emit a {RoleRevoked} event.\n     */\n    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {\n        _revokeRole(role, account);\n    }\n\n    /**\n     * @dev Revokes `role` from the calling account.\n     *\n     * Roles are often managed via {grantRole} and {revokeRole}: this function's\n     * purpose is to provide a mechanism for accounts to lose their privileges\n     * if they are compromised (such as when a trusted device is misplaced).\n     *\n     * If the calling account had been revoked `role`, emits a {RoleRevoked}\n     * event.\n     *\n     * Requirements:\n     *\n     * - the caller must be `account`.\n     *\n     * May emit a {RoleRevoked} event.\n     */\n    function renounceRole(bytes32 role, address account) public virtual override {\n        require(account == _msgSender(), \"AccessControl: can only renounce roles for self\");\n\n        _revokeRole(role, account);\n    }\n\n    /**\n     * @dev Grants `role` to `account`.\n     *\n     * If `account` had not been already granted `role`, emits a {RoleGranted}\n     * event. Note that unlike {grantRole}, this function doesn't perform any\n     * checks on the calling account.\n     *\n     * May emit a {RoleGranted} event.\n     *\n     * [WARNING]\n     * ====\n     * This function should only be called from the constructor when setting\n     * up the initial roles for the system.\n     *\n     * Using this function in any other way is effectively circumventing the admin\n     * system imposed by {AccessControl}.\n     * ====\n     *\n     * NOTE: This function is deprecated in favor of {_grantRole}.\n     */\n    function _setupRole(bytes32 role, address account) internal virtual {\n        _grantRole(role, account);\n    }\n\n    /**\n     * @dev Sets `adminRole` as ``role``'s admin role.\n     *\n     * Emits a {RoleAdminChanged} event.\n     */\n    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {\n        bytes32 previousAdminRole = getRoleAdmin(role);\n        _roles[role].adminRole = adminRole;\n        emit RoleAdminChanged(role, previousAdminRole, adminRole);\n    }\n\n    /**\n     * @dev Grants `role` to `account`.\n     *\n     * Internal function without access restriction.\n     *\n     * May emit a {RoleGranted} event.\n     */\n    function _grantRole(bytes32 role, address account) internal virtual {\n        if (!hasRole(role, account)) {\n            _roles[role].members[account] = true;\n            emit RoleGranted(role, account, _msgSender());\n        }\n    }\n\n    /**\n     * @dev Revokes `role` from `account`.\n     *\n     * Internal function without access restriction.\n     *\n     * May emit a {RoleRevoked} event.\n     */\n    function _revokeRole(bytes32 role, address account) internal virtual {\n        if (hasRole(role, account)) {\n            _roles[role].members[account] = false;\n            emit RoleRevoked(role, account, _msgSender());\n        }\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/security/ReentrancyGuard.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (security/ReentrancyGuard.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Contract module that helps prevent reentrant calls to a function.\n *\n * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier\n * available, which can be applied to functions to make sure there are no nested\n * (reentrant) calls to them.\n *\n * Note that because there is a single `nonReentrant` guard, functions marked as\n * `nonReentrant` may not call one another. This can be worked around by making\n * those functions `private`, and then adding `external` `nonReentrant` entry\n * points to them.\n *\n * TIP: If you would like to learn more about reentrancy and alternative ways\n * to protect against it, check out our blog post\n * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].\n */\nabstract contract ReentrancyGuard {\n    // Booleans are more expensive than uint256 or any type that takes up a full\n    // word because each write operation emits an extra SLOAD to first read the\n    // slot's contents, replace the bits taken up by the boolean, and then write\n    // back. This is the compiler's defense against contract upgrades and\n    // pointer aliasing, and it cannot be disabled.\n\n    // The values being non-zero value makes deployment a bit more expensive,\n    // but in exchange the refund on every call to nonReentrant will be lower in\n    // amount. Since refunds are capped to a percentage of the total\n    // transaction's gas, it is best to keep them low in cases like this one, to\n    // increase the likelihood of the full refund coming into effect.\n    uint256 private constant _NOT_ENTERED = 1;\n    uint256 private constant _ENTERED = 2;\n\n    uint256 private _status;\n\n    constructor() {\n        _status = _NOT_ENTERED;\n    }\n\n    /**\n     * @dev Prevents a contract from calling itself, directly or indirectly.\n     * Calling a `nonReentrant` function from another `nonReentrant`\n     * function is not supported. It is possible to prevent this from happening\n     * by making the `nonReentrant` function external, and making it call a\n     * `private` function that does the actual work.\n     */\n    modifier nonReentrant() {\n        // On the first call to nonReentrant, _notEntered will be true\n        require(_status != _ENTERED, \"ReentrancyGuard: reentrant call\");\n\n        // Any calls to nonReentrant after this point will fail\n        _status = _ENTERED;\n\n        _;\n\n        // By storing the original value once again, a refund is triggered (see\n        // https://eips.ethereum.org/EIPS/eip-2200)\n        _status = _NOT_ENTERED;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/ERC20.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/ERC20.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IERC20.sol\";\nimport \"./extensions/IERC20Metadata.sol\";\nimport \"../../utils/Context.sol\";\n\n/**\n * @dev Implementation of the {IERC20} interface.\n *\n * This implementation is agnostic to the way tokens are created. This means\n * that a supply mechanism has to be added in a derived contract using {_mint}.\n * For a generic mechanism see {ERC20PresetMinterPauser}.\n *\n * TIP: For a detailed writeup see our guide\n * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How\n * to implement supply mechanisms].\n *\n * We have followed general OpenZeppelin Contracts guidelines: functions revert\n * instead returning `false` on failure. This behavior is nonetheless\n * conventional and does not conflict with the expectations of ERC20\n * applications.\n *\n * Additionally, an {Approval} event is emitted on calls to {transferFrom}.\n * This allows applications to reconstruct the allowance for all accounts just\n * by listening to said events. Other implementations of the EIP may not emit\n * these events, as it isn't required by the specification.\n *\n * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}\n * functions have been added to mitigate the well-known issues around setting\n * allowances. See {IERC20-approve}.\n */\ncontract ERC20 is Context, IERC20, IERC20Metadata {\n    mapping(address => uint256) private _balances;\n\n    mapping(address => mapping(address => uint256)) private _allowances;\n\n    uint256 private _totalSupply;\n\n    string private _name;\n    string private _symbol;\n\n    /**\n     * @dev Sets the values for {name} and {symbol}.\n     *\n     * The default value of {decimals} is 18. To select a different value for\n     * {decimals} you should overload it.\n     *\n     * All two of these values are immutable: they can only be set once during\n     * construction.\n     */\n    constructor(string memory name_, string memory symbol_) {\n        _name = name_;\n        _symbol = symbol_;\n    }\n\n    /**\n     * @dev Returns the name of the token.\n     */\n    function name() public view virtual override returns (string memory) {\n        return _name;\n    }\n\n    /**\n     * @dev Returns the symbol of the token, usually a shorter version of the\n     * name.\n     */\n    function symbol() public view virtual override returns (string memory) {\n        return _symbol;\n    }\n\n    /**\n     * @dev Returns the number of decimals used to get its user representation.\n     * For example, if `decimals` equals `2`, a balance of `505` tokens should\n     * be displayed to a user as `5.05` (`505 / 10 ** 2`).\n     *\n     * Tokens usually opt for a value of 18, imitating the relationship between\n     * Ether and Wei. This is the value {ERC20} uses, unless this function is\n     * overridden;\n     *\n     * NOTE: This information is only used for _display_ purposes: it in\n     * no way affects any of the arithmetic of the contract, including\n     * {IERC20-balanceOf} and {IERC20-transfer}.\n     */\n    function decimals() public view virtual override returns (uint8) {\n        return 18;\n    }\n\n    /**\n     * @dev See {IERC20-totalSupply}.\n     */\n    function totalSupply() public view virtual override returns (uint256) {\n        return _totalSupply;\n    }\n\n    /**\n     * @dev See {IERC20-balanceOf}.\n     */\n    function balanceOf(address account) public view virtual override returns (uint256) {\n        return _balances[account];\n    }\n\n    /**\n     * @dev See {IERC20-transfer}.\n     *\n     * Requirements:\n     *\n     * - `to` cannot be the zero address.\n     * - the caller must have a balance of at least `amount`.\n     */\n    function transfer(address to, uint256 amount) public virtual override returns (bool) {\n        address owner = _msgSender();\n        _transfer(owner, to, amount);\n        return true;\n    }\n\n    /**\n     * @dev See {IERC20-allowance}.\n     */\n    function allowance(address owner, address spender) public view virtual override returns (uint256) {\n        return _allowances[owner][spender];\n    }\n\n    /**\n     * @dev See {IERC20-approve}.\n     *\n     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on\n     * `transferFrom`. This is semantically equivalent to an infinite approval.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     */\n    function approve(address spender, uint256 amount) public virtual override returns (bool) {\n        address owner = _msgSender();\n        _approve(owner, spender, amount);\n        return true;\n    }\n\n    /**\n     * @dev See {IERC20-transferFrom}.\n     *\n     * Emits an {Approval} event indicating the updated allowance. This is not\n     * required by the EIP. See the note at the beginning of {ERC20}.\n     *\n     * NOTE: Does not update the allowance if the current allowance\n     * is the maximum `uint256`.\n     *\n     * Requirements:\n     *\n     * - `from` and `to` cannot be the zero address.\n     * - `from` must have a balance of at least `amount`.\n     * - the caller must have allowance for ``from``'s tokens of at least\n     * `amount`.\n     */\n    function transferFrom(\n        address from,\n        address to,\n        uint256 amount\n    ) public virtual override returns (bool) {\n        address spender = _msgSender();\n        _spendAllowance(from, spender, amount);\n        _transfer(from, to, amount);\n        return true;\n    }\n\n    /**\n     * @dev Atomically increases the allowance granted to `spender` by the caller.\n     *\n     * This is an alternative to {approve} that can be used as a mitigation for\n     * problems described in {IERC20-approve}.\n     *\n     * Emits an {Approval} event indicating the updated allowance.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     */\n    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {\n        address owner = _msgSender();\n        _approve(owner, spender, allowance(owner, spender) + addedValue);\n        return true;\n    }\n\n    /**\n     * @dev Atomically decreases the allowance granted to `spender` by the caller.\n     *\n     * This is an alternative to {approve} that can be used as a mitigation for\n     * problems described in {IERC20-approve}.\n     *\n     * Emits an {Approval} event indicating the updated allowance.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     * - `spender` must have allowance for the caller of at least\n     * `subtractedValue`.\n     */\n    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {\n        address owner = _msgSender();\n        uint256 currentAllowance = allowance(owner, spender);\n        require(currentAllowance >= subtractedValue, \"ERC20: decreased allowance below zero\");\n        unchecked {\n            _approve(owner, spender, currentAllowance - subtractedValue);\n        }\n\n        return true;\n    }\n\n    /**\n     * @dev Moves `amount` of tokens from `from` to `to`.\n     *\n     * This internal function is equivalent to {transfer}, and can be used to\n     * e.g. implement automatic token fees, slashing mechanisms, etc.\n     *\n     * Emits a {Transfer} event.\n     *\n     * Requirements:\n     *\n     * - `from` cannot be the zero address.\n     * - `to` cannot be the zero address.\n     * - `from` must have a balance of at least `amount`.\n     */\n    function _transfer(\n        address from,\n        address to,\n        uint256 amount\n    ) internal virtual {\n        require(from != address(0), \"ERC20: transfer from the zero address\");\n        require(to != address(0), \"ERC20: transfer to the zero address\");\n\n        _beforeTokenTransfer(from, to, amount);\n\n        uint256 fromBalance = _balances[from];\n        require(fromBalance >= amount, \"ERC20: transfer amount exceeds balance\");\n        unchecked {\n            _balances[from] = fromBalance - amount;\n        }\n        _balances[to] += amount;\n\n        emit Transfer(from, to, amount);\n\n        _afterTokenTransfer(from, to, amount);\n    }\n\n    /** @dev Creates `amount` tokens and assigns them to `account`, increasing\n     * the total supply.\n     *\n     * Emits a {Transfer} event with `from` set to the zero address.\n     *\n     * Requirements:\n     *\n     * - `account` cannot be the zero address.\n     */\n    function _mint(address account, uint256 amount) internal virtual {\n        require(account != address(0), \"ERC20: mint to the zero address\");\n\n        _beforeTokenTransfer(address(0), account, amount);\n\n        _totalSupply += amount;\n        _balances[account] += amount;\n        emit Transfer(address(0), account, amount);\n\n        _afterTokenTransfer(address(0), account, amount);\n    }\n\n    /**\n     * @dev Destroys `amount` tokens from `account`, reducing the\n     * total supply.\n     *\n     * Emits a {Transfer} event with `to` set to the zero address.\n     *\n     * Requirements:\n     *\n     * - `account` cannot be the zero address.\n     * - `account` must have at least `amount` tokens.\n     */\n    function _burn(address account, uint256 amount) internal virtual {\n        require(account != address(0), \"ERC20: burn from the zero address\");\n\n        _beforeTokenTransfer(account, address(0), amount);\n\n        uint256 accountBalance = _balances[account];\n        require(accountBalance >= amount, \"ERC20: burn amount exceeds balance\");\n        unchecked {\n            _balances[account] = accountBalance - amount;\n        }\n        _totalSupply -= amount;\n\n        emit Transfer(account, address(0), amount);\n\n        _afterTokenTransfer(account, address(0), amount);\n    }\n\n    /**\n     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.\n     *\n     * This internal function is equivalent to `approve`, and can be used to\n     * e.g. set automatic allowances for certain subsystems, etc.\n     *\n     * Emits an {Approval} event.\n     *\n     * Requirements:\n     *\n     * - `owner` cannot be the zero address.\n     * - `spender` cannot be the zero address.\n     */\n    function _approve(\n        address owner,\n        address spender,\n        uint256 amount\n    ) internal virtual {\n        require(owner != address(0), \"ERC20: approve from the zero address\");\n        require(spender != address(0), \"ERC20: approve to the zero address\");\n\n        _allowances[owner][spender] = amount;\n        emit Approval(owner, spender, amount);\n    }\n\n    /**\n     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.\n     *\n     * Does not update the allowance amount in case of infinite allowance.\n     * Revert if not enough allowance is available.\n     *\n     * Might emit an {Approval} event.\n     */\n    function _spendAllowance(\n        address owner,\n        address spender,\n        uint256 amount\n    ) internal virtual {\n        uint256 currentAllowance = allowance(owner, spender);\n        if (currentAllowance != type(uint256).max) {\n            require(currentAllowance >= amount, \"ERC20: insufficient allowance\");\n            unchecked {\n                _approve(owner, spender, currentAllowance - amount);\n            }\n        }\n    }\n\n    /**\n     * @dev Hook that is called before any transfer of tokens. This includes\n     * minting and burning.\n     *\n     * Calling conditions:\n     *\n     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens\n     * will be transferred to `to`.\n     * - when `from` is zero, `amount` tokens will be minted for `to`.\n     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.\n     * - `from` and `to` are never both zero.\n     *\n     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].\n     */\n    function _beforeTokenTransfer(\n        address from,\n        address to,\n        uint256 amount\n    ) internal virtual {}\n\n    /**\n     * @dev Hook that is called after any transfer of tokens. This includes\n     * minting and burning.\n     *\n     * Calling conditions:\n     *\n     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens\n     * has been transferred to `to`.\n     * - when `from` is zero, `amount` tokens have been minted for `to`.\n     * - when `to` is zero, `amount` of ``from``'s tokens have been burned.\n     * - `from` and `to` are never both zero.\n     *\n     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].\n     */\n    function _afterTokenTransfer(\n        address from,\n        address to,\n        uint256 amount\n    ) internal virtual {}\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/IERC20.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Interface of the ERC20 standard as defined in the EIP.\n */\ninterface IERC20 {\n    /**\n     * @dev Emitted when `value` tokens are moved from one account (`from`) to\n     * another (`to`).\n     *\n     * Note that `value` may be zero.\n     */\n    event Transfer(address indexed from, address indexed to, uint256 value);\n\n    /**\n     * @dev Emitted when the allowance of a `spender` for an `owner` is set by\n     * a call to {approve}. `value` is the new allowance.\n     */\n    event Approval(address indexed owner, address indexed spender, uint256 value);\n\n    /**\n     * @dev Returns the amount of tokens in existence.\n     */\n    function totalSupply() external view returns (uint256);\n\n    /**\n     * @dev Returns the amount of tokens owned by `account`.\n     */\n    function balanceOf(address account) external view returns (uint256);\n\n    /**\n     * @dev Moves `amount` tokens from the caller's account to `to`.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * Emits a {Transfer} event.\n     */\n    function transfer(address to, uint256 amount) external returns (bool);\n\n    /**\n     * @dev Returns the remaining number of tokens that `spender` will be\n     * allowed to spend on behalf of `owner` through {transferFrom}. This is\n     * zero by default.\n     *\n     * This value changes when {approve} or {transferFrom} are called.\n     */\n    function allowance(address owner, address spender) external view returns (uint256);\n\n    /**\n     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * IMPORTANT: Beware that changing an allowance with this method brings the risk\n     * that someone may use both the old and the new allowance by unfortunate\n     * transaction ordering. One possible solution to mitigate this race\n     * condition is to first reduce the spender's allowance to 0 and set the\n     * desired value afterwards:\n     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729\n     *\n     * Emits an {Approval} event.\n     */\n    function approve(address spender, uint256 amount) external returns (bool);\n\n    /**\n     * @dev Moves `amount` tokens from `from` to `to` using the\n     * allowance mechanism. `amount` is then deducted from the caller's\n     * allowance.\n     *\n     * Returns a boolean value indicating whether the operation succeeded.\n     *\n     * Emits a {Transfer} event.\n     */\n    function transferFrom(\n        address from,\n        address to,\n        uint256 amount\n    ) external returns (bool);\n}\n"
    },
    "@openzeppelin/contracts/utils/introspection/ERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IERC165.sol\";\n\n/**\n * @dev Implementation of the {IERC165} interface.\n *\n * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check\n * for the additional interface id that will be supported. For example:\n *\n * ```solidity\n * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);\n * }\n * ```\n *\n * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.\n */\nabstract contract ERC165 is IERC165 {\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n        return interfaceId == type(IERC165).interfaceId;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/extensions/draft-ERC20Permit.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/extensions/draft-ERC20Permit.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./draft-IERC20Permit.sol\";\nimport \"../ERC20.sol\";\nimport \"../../../utils/cryptography/draft-EIP712.sol\";\nimport \"../../../utils/cryptography/ECDSA.sol\";\nimport \"../../../utils/Counters.sol\";\n\n/**\n * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in\n * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].\n *\n * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by\n * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't\n * need to send a transaction, and thus is not required to hold Ether at all.\n *\n * _Available since v3.4._\n */\nabstract contract ERC20Permit is ERC20, IERC20Permit, EIP712 {\n    using Counters for Counters.Counter;\n\n    mapping(address => Counters.Counter) private _nonces;\n\n    // solhint-disable-next-line var-name-mixedcase\n    bytes32 private constant _PERMIT_TYPEHASH =\n        keccak256(\"Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)\");\n    /**\n     * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`.\n     * However, to ensure consistency with the upgradeable transpiler, we will continue\n     * to reserve a slot.\n     * @custom:oz-renamed-from _PERMIT_TYPEHASH\n     */\n    // solhint-disable-next-line var-name-mixedcase\n    bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT;\n\n    /**\n     * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `\"1\"`.\n     *\n     * It's a good idea to use the same `name` that is defined as the ERC20 token name.\n     */\n    constructor(string memory name) EIP712(name, \"1\") {}\n\n    /**\n     * @dev See {IERC20Permit-permit}.\n     */\n    function permit(\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) public virtual override {\n        require(block.timestamp <= deadline, \"ERC20Permit: expired deadline\");\n\n        bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));\n\n        bytes32 hash = _hashTypedDataV4(structHash);\n\n        address signer = ECDSA.recover(hash, v, r, s);\n        require(signer == owner, \"ERC20Permit: invalid signature\");\n\n        _approve(owner, spender, value);\n    }\n\n    /**\n     * @dev See {IERC20Permit-nonces}.\n     */\n    function nonces(address owner) public view virtual override returns (uint256) {\n        return _nonces[owner].current();\n    }\n\n    /**\n     * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function DOMAIN_SEPARATOR() external view override returns (bytes32) {\n        return _domainSeparatorV4();\n    }\n\n    /**\n     * @dev \"Consume a nonce\": return the current value and increment.\n     *\n     * _Available since v4.1._\n     */\n    function _useNonce(address owner) internal virtual returns (uint256 current) {\n        Counters.Counter storage nonce = _nonces[owner];\n        current = nonce.current();\n        nonce.increment();\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/extensions/ERC20Burnable.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC20/extensions/ERC20Burnable.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../ERC20.sol\";\nimport \"../../../utils/Context.sol\";\n\n/**\n * @dev Extension of {ERC20} that allows token holders to destroy both their own\n * tokens and those that they have an allowance for, in a way that can be\n * recognized off-chain (via event analysis).\n */\nabstract contract ERC20Burnable is Context, ERC20 {\n    /**\n     * @dev Destroys `amount` tokens from the caller.\n     *\n     * See {ERC20-_burn}.\n     */\n    function burn(uint256 amount) public virtual {\n        _burn(_msgSender(), amount);\n    }\n\n    /**\n     * @dev Destroys `amount` tokens from `account`, deducting from the caller's\n     * allowance.\n     *\n     * See {ERC20-_burn} and {ERC20-allowance}.\n     *\n     * Requirements:\n     *\n     * - the caller must have allowance for ``accounts``'s tokens of at least\n     * `amount`.\n     */\n    function burnFrom(address account, uint256 amount) public virtual {\n        _spendAllowance(account, _msgSender(), amount);\n        _burn(account, amount);\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/utils/SafeERC20.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/utils/SafeERC20.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../IERC20.sol\";\nimport \"../extensions/draft-IERC20Permit.sol\";\nimport \"../../../utils/Address.sol\";\n\n/**\n * @title SafeERC20\n * @dev Wrappers around ERC20 operations that throw on failure (when the token\n * contract returns false). Tokens that return no value (and instead revert or\n * throw on failure) are also supported, non-reverting calls are assumed to be\n * successful.\n * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,\n * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.\n */\nlibrary SafeERC20 {\n    using Address for address;\n\n    function safeTransfer(\n        IERC20 token,\n        address to,\n        uint256 value\n    ) internal {\n        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));\n    }\n\n    function safeTransferFrom(\n        IERC20 token,\n        address from,\n        address to,\n        uint256 value\n    ) internal {\n        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));\n    }\n\n    /**\n     * @dev Deprecated. This function has issues similar to the ones found in\n     * {IERC20-approve}, and its usage is discouraged.\n     *\n     * Whenever possible, use {safeIncreaseAllowance} and\n     * {safeDecreaseAllowance} instead.\n     */\n    function safeApprove(\n        IERC20 token,\n        address spender,\n        uint256 value\n    ) internal {\n        // safeApprove should only be called when setting an initial allowance,\n        // or when resetting it to zero. To increase and decrease it, use\n        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'\n        require(\n            (value == 0) || (token.allowance(address(this), spender) == 0),\n            \"SafeERC20: approve from non-zero to non-zero allowance\"\n        );\n        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));\n    }\n\n    function safeIncreaseAllowance(\n        IERC20 token,\n        address spender,\n        uint256 value\n    ) internal {\n        uint256 newAllowance = token.allowance(address(this), spender) + value;\n        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));\n    }\n\n    function safeDecreaseAllowance(\n        IERC20 token,\n        address spender,\n        uint256 value\n    ) internal {\n        unchecked {\n            uint256 oldAllowance = token.allowance(address(this), spender);\n            require(oldAllowance >= value, \"SafeERC20: decreased allowance below zero\");\n            uint256 newAllowance = oldAllowance - value;\n            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));\n        }\n    }\n\n    function safePermit(\n        IERC20Permit token,\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) internal {\n        uint256 nonceBefore = token.nonces(owner);\n        token.permit(owner, spender, value, deadline, v, r, s);\n        uint256 nonceAfter = token.nonces(owner);\n        require(nonceAfter == nonceBefore + 1, \"SafeERC20: permit did not succeed\");\n    }\n\n    /**\n     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement\n     * on the return value: the return value is optional (but if data is returned, it must not be false).\n     * @param token The token targeted by the call.\n     * @param data The call data (encoded using abi.encode or one of its variants).\n     */\n    function _callOptionalReturn(IERC20 token, bytes memory data) private {\n        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since\n        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that\n        // the target address contains contract code and also asserts for success in the low-level call.\n\n        bytes memory returndata = address(token).functionCall(data, \"SafeERC20: low-level call failed\");\n        if (returndata.length > 0) {\n            // Return data is optional\n            require(abi.decode(returndata, (bool)), \"SafeERC20: ERC20 operation did not succeed\");\n        }\n    }\n}\n"
    },
    "contracts/uniswap/interfaces/IUniswapV2Router01.sol": {
      "content": "// SPDX-License-Identifier: GPL-3.0\n\npragma solidity ^0.8.17;\n\ninterface IUniswapV2Router01 {\n    function factory() external view returns (address);\n\n    function WETH() external view returns (address);\n\n    function addLiquidity(\n        address tokenA,\n        address tokenB,\n        uint256 amountADesired,\n        uint256 amountBDesired,\n        uint256 amountAMin,\n        uint256 amountBMin,\n        address to,\n        uint256 deadline\n    )\n        external\n        returns (\n            uint256 amountA,\n            uint256 amountB,\n            uint256 liquidity\n        );\n\n    function addLiquidityETH(\n        address token,\n        uint256 amountTokenDesired,\n        uint256 amountTokenMin,\n        uint256 amountETHMin,\n        address to,\n        uint256 deadline\n    )\n        external\n        payable\n        returns (\n            uint256 amountToken,\n            uint256 amountETH,\n            uint256 liquidity\n        );\n\n    function removeLiquidity(\n        address tokenA,\n        address tokenB,\n        uint256 liquidity,\n        uint256 amountAMin,\n        uint256 amountBMin,\n        address to,\n        uint256 deadline\n    ) external returns (uint256 amountA, uint256 amountB);\n\n    function removeLiquidityETH(\n        address token,\n        uint256 liquidity,\n        uint256 amountTokenMin,\n        uint256 amountETHMin,\n        address to,\n        uint256 deadline\n    ) external returns (uint256 amountToken, uint256 amountETH);\n\n    function removeLiquidityWithPermit(\n        address tokenA,\n        address tokenB,\n        uint256 liquidity,\n        uint256 amountAMin,\n        uint256 amountBMin,\n        address to,\n        uint256 deadline,\n        bool approveMax,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external returns (uint256 amountA, uint256 amountB);\n\n    function removeLiquidityETHWithPermit(\n        address token,\n        uint256 liquidity,\n        uint256 amountTokenMin,\n        uint256 amountETHMin,\n        address to,\n        uint256 deadline,\n        bool approveMax,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external returns (uint256 amountToken, uint256 amountETH);\n\n    function swapExactTokensForTokens(\n        uint256 amountIn,\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external returns (uint256[] memory amounts);\n\n    function swapTokensForExactTokens(\n        uint256 amountOut,\n        uint256 amountInMax,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external returns (uint256[] memory amounts);\n\n    function swapExactETHForTokens(\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external payable returns (uint256[] memory amounts);\n\n    function swapTokensForExactETH(\n        uint256 amountOut,\n        uint256 amountInMax,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external returns (uint256[] memory amounts);\n\n    function swapExactTokensForETH(\n        uint256 amountIn,\n        uint256 amountOutMin,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external returns (uint256[] memory amounts);\n\n    function swapETHForExactTokens(\n        uint256 amountOut,\n        address[] calldata path,\n        address to,\n        uint256 deadline\n    ) external payable returns (uint256[] memory amounts);\n\n    function quote(\n        uint256 amountA,\n        uint256 reserveA,\n        uint256 reserveB\n    ) external pure returns (uint256 amountB);\n\n    function getAmountOut(\n        uint256 amountIn,\n        uint256 reserveIn,\n        uint256 reserveOut\n    ) external pure returns (uint256 amountOut);\n\n    function getAmountIn(\n        uint256 amountOut,\n        uint256 reserveIn,\n        uint256 reserveOut\n    ) external pure returns (uint256 amountIn);\n\n    function getAmountsOut(uint256 amountIn, address[] calldata path) external view returns (uint256[] memory amounts);\n\n    function getAmountsIn(uint256 amountOut, address[] calldata path) external view returns (uint256[] memory amounts);\n}\n"
    },
    "contracts/IPeronioSupport.sol": {
      "content": "pragma solidity ^0.8.17;\n\n// SPDX-License-Identifier: MIT\n\nimport \"./IPeronio.sol\";\n\nimport {Math} from \"@openzeppelin/contracts_latest/utils/math/Math.sol\";\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- Standard Numeric Types ---------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n//\n// Standard Numeric Types (SNTs) can be operated with in the same manner as \"normal\" numeric types can.\n// This means that SNTs can:\n//   - be added together,\n//   - be subtracted from each other,\n//   - be multiplied by a scalar value (only uint256 in this implementation) - both on the left and on the right,\n//   - the minimum be calculated among them,\n//   - the maximum be calculated among them,\n//   - the \"==\", \"!=\", \"<=\", \"<\", \">\", and \">=\" relations established between them, and\n// The mulDiv() interactions will be taken care of later.\n//\n\n// --- USDC ---------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(UsdcQuantity left, UsdcQuantity right) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(UsdcQuantity.unwrap(left) + UsdcQuantity.unwrap(right));\n}\n\nfunction sub(UsdcQuantity left, UsdcQuantity right) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(UsdcQuantity.unwrap(left) - UsdcQuantity.unwrap(right));\n}\n\nfunction mul(UsdcQuantity val, uint256 x) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(UsdcQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, UsdcQuantity val) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(x * UsdcQuantity.unwrap(val));\n}\n\nfunction min(UsdcQuantity left, UsdcQuantity right) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.min(UsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right)));\n}\n\nfunction max(UsdcQuantity left, UsdcQuantity right) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.max(UsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right)));\n}\n\nfunction eq(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) == UsdcQuantity.unwrap(right);\n}\n\nfunction neq(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) != UsdcQuantity.unwrap(right);\n}\n\nfunction lt(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) < UsdcQuantity.unwrap(right);\n}\n\nfunction gt(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) > UsdcQuantity.unwrap(right);\n}\n\nfunction lte(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) <= UsdcQuantity.unwrap(right);\n}\n\nfunction gte(UsdcQuantity left, UsdcQuantity right) pure returns (bool) {\n    return UsdcQuantity.unwrap(left) >= UsdcQuantity.unwrap(right);\n}\n\n// --- MAI ----------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(MaiQuantity left, MaiQuantity right) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(MaiQuantity.unwrap(left) + MaiQuantity.unwrap(right));\n}\n\nfunction sub(MaiQuantity left, MaiQuantity right) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(MaiQuantity.unwrap(left) - MaiQuantity.unwrap(right));\n}\n\nfunction mul(MaiQuantity val, uint256 x) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(MaiQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, MaiQuantity val) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(x * MaiQuantity.unwrap(val));\n}\n\nfunction min(MaiQuantity left, MaiQuantity right) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.min(MaiQuantity.unwrap(left), MaiQuantity.unwrap(right)));\n}\n\nfunction max(MaiQuantity left, MaiQuantity right) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.max(MaiQuantity.unwrap(left), MaiQuantity.unwrap(right)));\n}\n\nfunction eq(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) == MaiQuantity.unwrap(right);\n}\n\nfunction neq(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) != MaiQuantity.unwrap(right);\n}\n\nfunction lt(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) < MaiQuantity.unwrap(right);\n}\n\nfunction gt(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) > MaiQuantity.unwrap(right);\n}\n\nfunction lte(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) <= MaiQuantity.unwrap(right);\n}\n\nfunction gte(MaiQuantity left, MaiQuantity right) pure returns (bool) {\n    return MaiQuantity.unwrap(left) >= MaiQuantity.unwrap(right);\n}\n\n// --- LP USDC/MAI --------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(LpQuantity left, LpQuantity right) pure returns (LpQuantity) {\n    return LpQuantity.wrap(LpQuantity.unwrap(left) + LpQuantity.unwrap(right));\n}\n\nfunction sub(LpQuantity left, LpQuantity right) pure returns (LpQuantity) {\n    return LpQuantity.wrap(LpQuantity.unwrap(left) - LpQuantity.unwrap(right));\n}\n\nfunction mul(LpQuantity val, uint256 x) pure returns (LpQuantity) {\n    return LpQuantity.wrap(LpQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, LpQuantity val) pure returns (LpQuantity) {\n    return LpQuantity.wrap(x * LpQuantity.unwrap(val));\n}\n\nfunction min(LpQuantity left, LpQuantity right) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.min(LpQuantity.unwrap(left), LpQuantity.unwrap(right)));\n}\n\nfunction max(LpQuantity left, LpQuantity right) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.max(LpQuantity.unwrap(left), LpQuantity.unwrap(right)));\n}\n\nfunction eq(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) == LpQuantity.unwrap(right);\n}\n\nfunction neq(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) != LpQuantity.unwrap(right);\n}\n\nfunction lt(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) < LpQuantity.unwrap(right);\n}\n\nfunction gt(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) > LpQuantity.unwrap(right);\n}\n\nfunction lte(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) <= LpQuantity.unwrap(right);\n}\n\nfunction gte(LpQuantity left, LpQuantity right) pure returns (bool) {\n    return LpQuantity.unwrap(left) >= LpQuantity.unwrap(right);\n}\n\n// --- PE -----------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(PeQuantity left, PeQuantity right) pure returns (PeQuantity) {\n    return PeQuantity.wrap(PeQuantity.unwrap(left) + PeQuantity.unwrap(right));\n}\n\nfunction sub(PeQuantity left, PeQuantity right) pure returns (PeQuantity) {\n    return PeQuantity.wrap(PeQuantity.unwrap(left) - PeQuantity.unwrap(right));\n}\n\nfunction mul(PeQuantity val, uint256 x) pure returns (PeQuantity) {\n    return PeQuantity.wrap(PeQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, PeQuantity val) pure returns (PeQuantity) {\n    return PeQuantity.wrap(x * PeQuantity.unwrap(val));\n}\n\nfunction min(PeQuantity left, PeQuantity right) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.min(PeQuantity.unwrap(left), PeQuantity.unwrap(right)));\n}\n\nfunction max(PeQuantity left, PeQuantity right) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.max(PeQuantity.unwrap(left), PeQuantity.unwrap(right)));\n}\n\nfunction eq(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) == PeQuantity.unwrap(right);\n}\n\nfunction neq(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) != PeQuantity.unwrap(right);\n}\n\nfunction lt(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) < PeQuantity.unwrap(right);\n}\n\nfunction gt(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) > PeQuantity.unwrap(right);\n}\n\nfunction lte(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) <= PeQuantity.unwrap(right);\n}\n\nfunction gte(PeQuantity left, PeQuantity right) pure returns (bool) {\n    return PeQuantity.unwrap(left) >= PeQuantity.unwrap(right);\n}\n\n// --- QI -----------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(QiQuantity left, QiQuantity right) pure returns (QiQuantity) {\n    return QiQuantity.wrap(QiQuantity.unwrap(left) + QiQuantity.unwrap(right));\n}\n\nfunction sub(QiQuantity left, QiQuantity right) pure returns (QiQuantity) {\n    return QiQuantity.wrap(QiQuantity.unwrap(left) - QiQuantity.unwrap(right));\n}\n\nfunction mul(QiQuantity val, uint256 x) pure returns (QiQuantity) {\n    return QiQuantity.wrap(QiQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, QiQuantity val) pure returns (QiQuantity) {\n    return QiQuantity.wrap(x * QiQuantity.unwrap(val));\n}\n\nfunction min(QiQuantity left, QiQuantity right) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.min(QiQuantity.unwrap(left), QiQuantity.unwrap(right)));\n}\n\nfunction max(QiQuantity left, QiQuantity right) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.max(QiQuantity.unwrap(left), QiQuantity.unwrap(right)));\n}\n\nfunction eq(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) == QiQuantity.unwrap(right);\n}\n\nfunction neq(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) != QiQuantity.unwrap(right);\n}\n\nfunction lt(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) < QiQuantity.unwrap(right);\n}\n\nfunction gt(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) > QiQuantity.unwrap(right);\n}\n\nfunction lte(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) <= QiQuantity.unwrap(right);\n}\n\nfunction gte(QiQuantity left, QiQuantity right) pure returns (bool) {\n    return QiQuantity.unwrap(left) >= QiQuantity.unwrap(right);\n}\n\n// --- PE/USDC ------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(PePerUsdcQuantity.unwrap(left) + PePerUsdcQuantity.unwrap(right));\n}\n\nfunction sub(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(PePerUsdcQuantity.unwrap(left) - PePerUsdcQuantity.unwrap(right));\n}\n\nfunction mul(PePerUsdcQuantity val, uint256 x) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(PePerUsdcQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, PePerUsdcQuantity val) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(x * PePerUsdcQuantity.unwrap(val));\n}\n\nfunction min(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.min(PePerUsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right)));\n}\n\nfunction max(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.max(PePerUsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right)));\n}\n\nfunction eq(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) == PePerUsdcQuantity.unwrap(right);\n}\n\nfunction neq(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) != PePerUsdcQuantity.unwrap(right);\n}\n\nfunction lt(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) < PePerUsdcQuantity.unwrap(right);\n}\n\nfunction gt(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) > PePerUsdcQuantity.unwrap(right);\n}\n\nfunction lte(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) <= PePerUsdcQuantity.unwrap(right);\n}\n\nfunction gte(PePerUsdcQuantity left, PePerUsdcQuantity right) pure returns (bool) {\n    return PePerUsdcQuantity.unwrap(left) >= PePerUsdcQuantity.unwrap(right);\n}\n\n// --- USDC/PE ------------------------------------------------------------------------------------------------------------------------------------------------\nfunction add(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(UsdcPerPeQuantity.unwrap(left) + UsdcPerPeQuantity.unwrap(right));\n}\n\nfunction sub(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(UsdcPerPeQuantity.unwrap(left) - UsdcPerPeQuantity.unwrap(right));\n}\n\nfunction mul(UsdcPerPeQuantity val, uint256 x) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(UsdcPerPeQuantity.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, UsdcPerPeQuantity val) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(x * UsdcPerPeQuantity.unwrap(val));\n}\n\nfunction min(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.min(UsdcPerPeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right)));\n}\n\nfunction max(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.max(UsdcPerPeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right)));\n}\n\nfunction eq(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) == UsdcPerPeQuantity.unwrap(right);\n}\n\nfunction neq(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) != UsdcPerPeQuantity.unwrap(right);\n}\n\nfunction lt(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) < UsdcPerPeQuantity.unwrap(right);\n}\n\nfunction gt(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) > UsdcPerPeQuantity.unwrap(right);\n}\n\nfunction lte(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) <= UsdcPerPeQuantity.unwrap(right);\n}\n\nfunction gte(UsdcPerPeQuantity left, UsdcPerPeQuantity right) pure returns (bool) {\n    return UsdcPerPeQuantity.unwrap(left) >= UsdcPerPeQuantity.unwrap(right);\n}\n\n// --- 6-decimals ratio ---------------------------------------------------------------------------------------------------------------------------------------\nfunction add(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(RatioWith6Decimals.unwrap(left) + RatioWith6Decimals.unwrap(right));\n}\n\nfunction sub(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(RatioWith6Decimals.unwrap(left) - RatioWith6Decimals.unwrap(right));\n}\n\nfunction mul(RatioWith6Decimals val, uint256 x) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(RatioWith6Decimals.unwrap(val) * x);\n}\n\nfunction mul(uint256 x, RatioWith6Decimals val) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(x * RatioWith6Decimals.unwrap(val));\n}\n\nfunction min(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.min(RatioWith6Decimals.unwrap(left), RatioWith6Decimals.unwrap(right)));\n}\n\nfunction max(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.max(RatioWith6Decimals.unwrap(left), RatioWith6Decimals.unwrap(right)));\n}\n\nfunction eq(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) == RatioWith6Decimals.unwrap(right);\n}\n\nfunction neq(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) != RatioWith6Decimals.unwrap(right);\n}\n\nfunction lt(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) < RatioWith6Decimals.unwrap(right);\n}\n\nfunction gt(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) > RatioWith6Decimals.unwrap(right);\n}\n\nfunction lte(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) <= RatioWith6Decimals.unwrap(right);\n}\n\nfunction gte(RatioWith6Decimals left, RatioWith6Decimals right) pure returns (bool) {\n    return RatioWith6Decimals.unwrap(left) >= RatioWith6Decimals.unwrap(right);\n}\n\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n// --- MulDiv Interactions ------------------------------------------------------------------------------------------------------------------------------------\n// ------------------------------------------------------------------------------------------------------------------------------------------------------------\n\nfunction mulDiv(\n    LpQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    MaiQuantity right,\n    LpQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), MaiQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    PePerUsdcQuantity right,\n    LpQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    PeQuantity right,\n    LpQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), PeQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    QiQuantity right,\n    LpQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), QiQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    RatioWith6Decimals right,\n    LpQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(LpQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcPerPeQuantity right,\n    LpQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcQuantity right,\n    LpQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    uint256 right,\n    LpQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(LpQuantity.unwrap(left), right, LpQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    LpQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(LpQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    LpQuantity right,\n    MaiQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), LpQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    PePerUsdcQuantity right,\n    MaiQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    PeQuantity right,\n    MaiQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), PeQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    QiQuantity right,\n    MaiQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), QiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    RatioWith6Decimals right,\n    MaiQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(MaiQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcPerPeQuantity right,\n    MaiQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcQuantity right,\n    MaiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    uint256 right,\n    MaiQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(MaiQuantity.unwrap(left), right, MaiQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    MaiQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(MaiQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    LpQuantity right,\n    PePerUsdcQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), LpQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    MaiQuantity right,\n    PePerUsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    PeQuantity right,\n    PePerUsdcQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), PeQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    QiQuantity right,\n    PePerUsdcQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), QiQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    RatioWith6Decimals right,\n    PePerUsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcPerPeQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcPerPeQuantity right,\n    RatioWith6Decimals div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcQuantity right,\n    PeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcQuantity right,\n    RatioWith6Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    uint256 right,\n    PePerUsdcQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(PePerUsdcQuantity.unwrap(left), right, PePerUsdcQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    PePerUsdcQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PePerUsdcQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    LpQuantity right,\n    PeQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), LpQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    MaiQuantity right,\n    PeQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), MaiQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    PePerUsdcQuantity right,\n    PeQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    QiQuantity right,\n    PeQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), QiQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith6Decimals right,\n    PePerUsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith6Decimals right,\n    PeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    RatioWith6Decimals right,\n    UsdcQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcPerPeQuantity right,\n    PeQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcPerPeQuantity right,\n    RatioWith6Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcQuantity right,\n    PeQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    uint256 right,\n    PeQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(PeQuantity.unwrap(left), right, PeQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    PeQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(PeQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    LpQuantity right,\n    QiQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), LpQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    MaiQuantity right,\n    QiQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), MaiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    PePerUsdcQuantity right,\n    QiQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    PeQuantity right,\n    QiQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), PeQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    RatioWith6Decimals right,\n    QiQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(QiQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcPerPeQuantity right,\n    QiQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcQuantity right,\n    QiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    uint256 right,\n    QiQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(QiQuantity.unwrap(left), right, QiQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    QiQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(QiQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    LpQuantity right,\n    RatioWith6Decimals div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), LpQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    MaiQuantity right,\n    RatioWith6Decimals div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), MaiQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PePerUsdcQuantity right,\n    RatioWith6Decimals div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PePerUsdcQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PeQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PeQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PeQuantity right,\n    RatioWith6Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PeQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    PeQuantity right,\n    UsdcQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), PeQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    QiQuantity right,\n    RatioWith6Decimals div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), QiQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    RatioWith6Decimals right,\n    PePerUsdcQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), RatioWith6Decimals.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    RatioWith6Decimals right,\n    UsdcPerPeQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcPerPeQuantity right,\n    RatioWith6Decimals div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcPerPeQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcQuantity right,\n    PeQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcQuantity right,\n    RatioWith6Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    uint256 right,\n    RatioWith6Decimals div\n) pure returns (uint256) {\n    return Math.mulDiv(RatioWith6Decimals.unwrap(left), right, RatioWith6Decimals.unwrap(div));\n}\n\nfunction mulDiv(\n    RatioWith6Decimals left,\n    uint256 right,\n    uint256 div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(RatioWith6Decimals.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    LpQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), LpQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    MaiQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), MaiQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PePerUsdcQuantity right,\n    RatioWith6Decimals div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PePerUsdcQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PeQuantity right,\n    RatioWith6Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PeQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    PeQuantity right,\n    UsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), PeQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    QiQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), QiQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    RatioWith6Decimals right,\n    UsdcPerPeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UsdcQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    uint256 right,\n    UsdcPerPeQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UsdcPerPeQuantity.unwrap(left), right, UsdcPerPeQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UsdcPerPeQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcPerPeQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), LpQuantity.unwrap(right), LpQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    LpQuantity right,\n    UsdcQuantity div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), LpQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), MaiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    MaiQuantity right,\n    UsdcQuantity div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), MaiQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PePerUsdcQuantity right,\n    PeQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PePerUsdcQuantity right,\n    RatioWith6Decimals div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PePerUsdcQuantity right,\n    UsdcQuantity div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PePerUsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PeQuantity.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    PeQuantity right,\n    UsdcQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), PeQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), QiQuantity.unwrap(right), QiQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    QiQuantity right,\n    UsdcQuantity div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), QiQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith6Decimals right,\n    PeQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), PeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith6Decimals right,\n    UsdcPerPeQuantity div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    RatioWith6Decimals right,\n    UsdcQuantity div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), RatioWith6Decimals.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcPerPeQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcPerPeQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div)));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    uint256 right,\n    UsdcQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(UsdcQuantity.unwrap(left), right, UsdcQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    UsdcQuantity left,\n    uint256 right,\n    uint256 div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(UsdcQuantity.unwrap(left), right, div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    LpQuantity right,\n    LpQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, LpQuantity.unwrap(right), LpQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    LpQuantity right,\n    uint256 div\n) pure returns (LpQuantity) {\n    return LpQuantity.wrap(Math.mulDiv(left, LpQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    MaiQuantity right,\n    MaiQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, MaiQuantity.unwrap(right), MaiQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    MaiQuantity right,\n    uint256 div\n) pure returns (MaiQuantity) {\n    return MaiQuantity.wrap(Math.mulDiv(left, MaiQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    PePerUsdcQuantity right,\n    PePerUsdcQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, PePerUsdcQuantity.unwrap(right), PePerUsdcQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    PePerUsdcQuantity right,\n    uint256 div\n) pure returns (PePerUsdcQuantity) {\n    return PePerUsdcQuantity.wrap(Math.mulDiv(left, PePerUsdcQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    PeQuantity right,\n    PeQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, PeQuantity.unwrap(right), PeQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    PeQuantity right,\n    uint256 div\n) pure returns (PeQuantity) {\n    return PeQuantity.wrap(Math.mulDiv(left, PeQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    QiQuantity right,\n    QiQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, QiQuantity.unwrap(right), QiQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    QiQuantity right,\n    uint256 div\n) pure returns (QiQuantity) {\n    return QiQuantity.wrap(Math.mulDiv(left, QiQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    RatioWith6Decimals right,\n    RatioWith6Decimals div\n) pure returns (uint256) {\n    return Math.mulDiv(left, RatioWith6Decimals.unwrap(right), RatioWith6Decimals.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    RatioWith6Decimals right,\n    uint256 div\n) pure returns (RatioWith6Decimals) {\n    return RatioWith6Decimals.wrap(Math.mulDiv(left, RatioWith6Decimals.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcPerPeQuantity right,\n    UsdcPerPeQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, UsdcPerPeQuantity.unwrap(right), UsdcPerPeQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcPerPeQuantity right,\n    uint256 div\n) pure returns (UsdcPerPeQuantity) {\n    return UsdcPerPeQuantity.wrap(Math.mulDiv(left, UsdcPerPeQuantity.unwrap(right), div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcQuantity right,\n    UsdcQuantity div\n) pure returns (uint256) {\n    return Math.mulDiv(left, UsdcQuantity.unwrap(right), UsdcQuantity.unwrap(div));\n}\n\nfunction mulDiv(\n    uint256 left,\n    UsdcQuantity right,\n    uint256 div\n) pure returns (UsdcQuantity) {\n    return UsdcQuantity.wrap(Math.mulDiv(left, UsdcQuantity.unwrap(right), div));\n}\n"
    },
    "contracts/IPeronio.sol": {
      "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.17;\n\n/**\n * Type representing an USDC token quantity\n *\n */\ntype UsdcQuantity is uint256;\n\n/**\n * Type representing a MAI token quantity\n *\n */\ntype MaiQuantity is uint256;\n\n/**\n * Type representing an LP USDC/MAI token quantity\n *\n */\ntype LpQuantity is uint256;\n\n/**\n * Type representing a PE token quantity\n *\n */\ntype PeQuantity is uint256;\n\n/**\n * Type representing a QI token quantity\n *\n */\ntype QiQuantity is uint256;\n\n/**\n * Type representing a ratio of PE/USD tokens (always represented using `DECIMALS` decimals)\n *\n */\ntype PePerUsdcQuantity is uint256;\n\n/**\n * Type representing a ratio of USD/PE tokens (always represented using `DECIMALS` decimals)\n *\n */\ntype UsdcPerPeQuantity is uint256;\n\n/**\n * Type representing an adimensional ratio, expressed with 6 decimals\n *\n */\ntype RatioWith6Decimals is uint256;\n\n/**\n * Type representing a role ID\n *\n */\ntype RoleId is bytes32;\n\ninterface IPeronio {\n    // --- Events ---------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Emitted upon initialization of the Peronio contract\n     *\n     * @param owner  The address initializing the contract\n     * @param collateral  The number of USDC tokens used as collateral\n     * @param startingRatio  The number of PE tokens per USDC token the vault is initialized with\n     */\n    event Initialized(address owner, UsdcQuantity collateral, PePerUsdcQuantity startingRatio);\n\n    /**\n     * Emitted upon minting PE tokens\n     *\n     * @param to  The address where minted PE tokens get transferred to\n     * @param collateralAmount  The number of USDC tokens used as collateral in this minting\n     * @param tokenAmount  Amount of PE tokens minted\n     */\n    event Minted(address indexed to, UsdcQuantity collateralAmount, PeQuantity tokenAmount);\n\n    /**\n     * Emitted upon collateral withdrawal\n     *\n     * @param to  Address where the USDC token withdrawal is directed\n     * @param collateralAmount  The number of USDC tokens withdrawn\n     * @param tokenAmount  The number of PE tokens burnt\n     */\n    event Withdrawal(address indexed to, UsdcQuantity collateralAmount, PeQuantity tokenAmount);\n\n    /**\n     * Emitted upon liquidity withdrawal\n     *\n     * @param to  Address where the USDC token withdrawal is directed\n     * @param lpAmount  The number of LP USDC/MAI tokens withdrawn\n     * @param tokenAmount  The number of PE tokens burnt\n     */\n    event LiquidityWithdrawal(address indexed to, LpQuantity lpAmount, PeQuantity tokenAmount);\n\n    /**\n     * Emitted upon the markup fee being updated\n     *\n     * @param operator  Address of the one updating the markup fee\n     * @param markupFee  New markup fee\n     */\n    event MarkupFeeUpdated(address operator, RatioWith6Decimals markupFee);\n\n    /**\n     * Emitted upon compounding rewards from QiDao's Farm back into the vault\n     *\n     * @param qi  Number of awarded QI tokens\n     * @param usdc  Equivalent number of USDC tokens\n     * @param lp  Number of LP USDC/MAI tokens re-invested\n     */\n    event CompoundRewards(QiQuantity qi, UsdcQuantity usdc, LpQuantity lp);\n\n    // --- Roles - Automatic ----------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the hash identifying the role responsible for updating the markup fee\n     *\n     * @return roleId  The role hash in question\n     */\n    function MARKUP_ROLE() external view returns (RoleId roleId); // solhint-disable-line func-name-mixedcase\n\n    /**\n     * Return the hash identifying the role responsible for compounding rewards\n     *\n     * @return roleId  The role hash in question\n     */\n    function REWARDS_ROLE() external view returns (RoleId roleId); // solhint-disable-line func-name-mixedcase\n\n    /**\n     * Return the hash identifying the role responsible for migrating between versions\n     *\n     * @return roleId  The role hash in question\n     */\n    function MIGRATOR_ROLE() external view returns (RoleId roleId); // solhint-disable-line func-name-mixedcase\n\n    // --- Addresses - Automatic ------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the address used for the USDC tokens in vault\n     *\n     * @return  The address in question\n     */\n    function usdcAddress() external view returns (address);\n\n    /**\n     * Return the address used for the MAI tokens in vault\n     *\n     * @return  The address in question\n     */\n    function maiAddress() external view returns (address);\n\n    /**\n     * Return the address used for the LP USDC/MAI tokens in vault\n     *\n     * @return  The address in question\n     */\n    function lpAddress() external view returns (address);\n\n    /**\n     * Return the address used for the QI tokens in vault\n     *\n     * @return  The address in question\n     */\n    function qiAddress() external view returns (address);\n\n    /**\n     * Return the address of the QuickSwap Router to talk to\n     *\n     * @return  The address in question\n     */\n    function quickSwapRouterAddress() external view returns (address);\n\n    /**\n     * Return the address of the QiDao Farm to use\n     *\n     * @return  The address in question\n     */\n    function qiDaoFarmAddress() external view returns (address);\n\n    /**\n     * Return the pool ID within the QiDao Farm\n     *\n     * @return  The pool ID in question\n     */\n    function qiDaoPoolId() external view returns (uint256);\n\n    // --- Fees - Automatic -----------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the markup fee the use, using `_decimals()` decimals implicitly\n     *\n     * @return  The markup fee to use\n     */\n    function markupFee() external view returns (RatioWith6Decimals);\n\n    /**\n     * Return the swap fee the use, using `_decimals()` decimals implicitly\n     *\n     * @return  The swap fee to use\n     */\n    function swapFee() external view returns (RatioWith6Decimals);\n\n    // --- Status - Automatic ---------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return wether the Peronio contract has been initialized yet\n     *\n     * @return  True whenever the contract has already been initialized, false otherwise\n     */\n    function initialized() external view returns (bool);\n\n    // --- Decimals -------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the number of decimals the PE token will work with\n     *\n     * @return decimals_  This will always be 6\n     */\n    function decimals() external view returns (uint8);\n\n    // --- Markup fee change ----------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Set the markup fee to the given value (take into account that this will use `_decimals` decimals implicitly)\n     *\n     * @param newMarkupFee  New markup fee value\n     * @return prevMarkupFee  Previous markup fee value\n     * @custom:emit  MarkupFeeUpdated\n     */\n    function setMarkupFee(RatioWith6Decimals newMarkupFee) external returns (RatioWith6Decimals prevMarkupFee);\n\n    // --- Initialization -------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Initialize the PE token by providing collateral USDC tokens - initial conversion rate will be set at the given starting ratio\n     *\n     * @param usdcAmount  Number of collateral USDC tokens\n     * @param startingRatio  Initial minting ratio in PE tokens per USDC tokens minted\n     * @custom:emit  Initialized\n     */\n    function initialize(UsdcQuantity usdcAmount, PePerUsdcQuantity startingRatio) external;\n\n    // --- State views ----------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the USDC and MAI token reserves present in QuickSwap\n     *\n     * @return usdcReserves  Number of USDC tokens in reserve\n     * @return maiReserves  Number of MAI tokens in reserve\n     */\n    function getLpReserves() external view returns (UsdcQuantity usdcReserves, MaiQuantity maiReserves);\n\n    /**\n     * Return the number of LP USDC/MAI tokens on stake at QiDao's Farm\n     *\n     * @return lpAmount  Number of LP USDC/MAI token on stake\n     */\n    function stakedBalance() external view returns (LpQuantity lpAmount);\n\n    /**\n     * Return the number of USDC and MAI tokens on stake at QiDao's Farm\n     *\n     * @return usdcAmount  Number of USDC tokens on stake\n     * @return maiAmount  Number of MAI tokens on stake\n     */\n    function stakedTokens() external view returns (UsdcQuantity usdcAmount, MaiQuantity maiAmount);\n\n    /**\n     * Return the equivalent number of USDC tokens on stake at QiDao's Farm\n     *\n     * @return usdcAmount  Total equivalent number of USDC token on stake\n     */\n    function stakedValue() external view returns (UsdcQuantity usdcAmount);\n\n    /**\n     * Return the _collateralized_ price in USDC tokens per PE token\n     *\n     * @return price  Collateralized price in USDC tokens per PE token\n     */\n    function usdcPrice() external view returns (PePerUsdcQuantity price);\n\n    /**\n     * Return the effective _minting_ price in USDC tokens per PE token\n     *\n     * @return price  Minting price in USDC tokens per PE token\n     */\n    function buyingPrice() external view returns (UsdcPerPeQuantity price);\n\n    /**\n     * Return the ratio of total number of USDC tokens per PE token\n     *\n     * @return ratio  Ratio of USDC tokens per PE token, with `_decimal` decimals\n     */\n    function collateralRatio() external view returns (UsdcPerPeQuantity ratio);\n\n    // --- State changers -------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Mint PE tokens using the provided USDC tokens as collateral --- used by the migrators in order not to incur normal fees\n     *\n     * @param to  The address to transfer the minted PE tokens to\n     * @param usdcAmount  Number of USDC tokens to use as collateral\n     * @param minReceive  The minimum number of PE tokens to mint\n     * @return peAmount  The number of PE tokens actually minted\n     * @custom:emit  Minted\n     */\n    function mintForMigration(\n        address to,\n        UsdcQuantity usdcAmount,\n        PeQuantity minReceive\n    ) external returns (PeQuantity peAmount);\n\n    /**\n     * Mint PE tokens using the provided USDC tokens as collateral\n     *\n     * @param to  The address to transfer the minted PE tokens to\n     * @param usdcAmount  Number of USDC tokens to use as collateral\n     * @param minReceive  The minimum number of PE tokens to mint\n     * @return peAmount  The number of PE tokens actually minted\n     * @custom:emit  Minted\n     */\n    function mint(\n        address to,\n        UsdcQuantity usdcAmount,\n        PeQuantity minReceive\n    ) external returns (PeQuantity peAmount);\n\n    /**\n     * Extract the given number of PE tokens as USDC tokens\n     *\n     * @param to  Address to deposit extracted USDC tokens into\n     * @param peAmount  Number of PE tokens to withdraw\n     * @return usdcTotal  Number of USDC tokens extracted\n     * @custom:emit  Withdrawal\n     */\n    function withdraw(address to, PeQuantity peAmount) external returns (UsdcQuantity usdcTotal);\n\n    /**\n     * Extract the given number of PE tokens as LP USDC/MAI tokens\n     *\n     * @param to  Address to deposit extracted LP USDC/MAI tokens into\n     * @param peAmount  Number of PE tokens to withdraw liquidity for\n     * @return lpAmount  Number of LP USDC/MAI tokens extracted\n     * @custom:emit LiquidityWithdrawal\n     */\n    function withdrawLiquidity(address to, PeQuantity peAmount) external returns (LpQuantity lpAmount);\n\n    // --- Rewards --------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Return the rewards accrued by staking LP USDC/MAI tokens in QiDao's Farm (in QI tokens)\n     *\n     * @return qiAmount  Number of QI tokens accrued\n     */\n    function getPendingRewardsAmount() external view returns (QiQuantity qiAmount);\n\n    /**\n     * Claim QiDao's QI token rewards, and re-invest them in the QuickSwap liquidity pool and QiDao's Farm\n     *\n     * @return usdcAmount  The number of USDC tokens being re-invested\n     * @return lpAmount  The number of LP USDC/MAI tokens being put on stake\n     * @custom:emit CompoundRewards\n     */\n    function compoundRewards() external returns (UsdcQuantity usdcAmount, LpQuantity lpAmount);\n\n    // --- Quotes ---------------------------------------------------------------------------------------------------------------------------------------------\n\n    /**\n     * Retrieve the expected number of PE tokens corresponding to the given number of USDC tokens for minting.\n     *\n     * @param usdc  Number of USDC tokens to quote for\n     * @return pe  Number of PE tokens quoted for the given number of USDC tokens\n     */\n    function quoteIn(UsdcQuantity usdc) external view returns (PeQuantity pe);\n\n    /**\n     * Retrieve the expected number of USDC tokens corresponding to the given number of PE tokens for withdrawal.\n     *\n     * @param pe  Number of PE tokens to quote for\n     * @return usdc  Number of USDC tokens quoted for the given number of PE tokens\n     */\n    function quoteOut(PeQuantity pe) external view returns (UsdcQuantity usdc);\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/math/Math.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (utils/math/Math.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Standard math utilities missing in the Solidity language.\n */\nlibrary Math {\n    enum Rounding {\n        Down, // Toward negative infinity\n        Up, // Toward infinity\n        Zero // Toward zero\n    }\n\n    /**\n     * @dev Returns the largest of two numbers.\n     */\n    function max(uint256 a, uint256 b) internal pure returns (uint256) {\n        return a >= b ? a : b;\n    }\n\n    /**\n     * @dev Returns the smallest of two numbers.\n     */\n    function min(uint256 a, uint256 b) internal pure returns (uint256) {\n        return a < b ? a : b;\n    }\n\n    /**\n     * @dev Returns the average of two numbers. The result is rounded towards\n     * zero.\n     */\n    function average(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b) / 2 can overflow.\n        return (a & b) + (a ^ b) / 2;\n    }\n\n    /**\n     * @dev Returns the ceiling of the division of two numbers.\n     *\n     * This differs from standard division with `/` in that it rounds up instead\n     * of rounding down.\n     */\n    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {\n        // (a + b - 1) / b can overflow on addition, so we distribute.\n        return a == 0 ? 0 : (a - 1) / b + 1;\n    }\n\n    /**\n     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0\n     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)\n     * with further edits by Uniswap Labs also under MIT license.\n     */\n    function mulDiv(\n        uint256 x,\n        uint256 y,\n        uint256 denominator\n    ) internal pure returns (uint256 result) {\n        unchecked {\n            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use\n            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256\n            // variables such that product = prod1 * 2^256 + prod0.\n            uint256 prod0; // Least significant 256 bits of the product\n            uint256 prod1; // Most significant 256 bits of the product\n            assembly {\n                let mm := mulmod(x, y, not(0))\n                prod0 := mul(x, y)\n                prod1 := sub(sub(mm, prod0), lt(mm, prod0))\n            }\n\n            // Handle non-overflow cases, 256 by 256 division.\n            if (prod1 == 0) {\n                return prod0 / denominator;\n            }\n\n            // Make sure the result is less than 2^256. Also prevents denominator == 0.\n            require(denominator > prod1);\n\n            ///////////////////////////////////////////////\n            // 512 by 256 division.\n            ///////////////////////////////////////////////\n\n            // Make division exact by subtracting the remainder from [prod1 prod0].\n            uint256 remainder;\n            assembly {\n                // Compute remainder using mulmod.\n                remainder := mulmod(x, y, denominator)\n\n                // Subtract 256 bit number from 512 bit number.\n                prod1 := sub(prod1, gt(remainder, prod0))\n                prod0 := sub(prod0, remainder)\n            }\n\n            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.\n            // See https://cs.stackexchange.com/q/138556/92363.\n\n            // Does not overflow because the denominator cannot be zero at this stage in the function.\n            uint256 twos = denominator & (~denominator + 1);\n            assembly {\n                // Divide denominator by twos.\n                denominator := div(denominator, twos)\n\n                // Divide [prod1 prod0] by twos.\n                prod0 := div(prod0, twos)\n\n                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.\n                twos := add(div(sub(0, twos), twos), 1)\n            }\n\n            // Shift in bits from prod1 into prod0.\n            prod0 |= prod1 * twos;\n\n            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such\n            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for\n            // four bits. That is, denominator * inv = 1 mod 2^4.\n            uint256 inverse = (3 * denominator) ^ 2;\n\n            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works\n            // in modular arithmetic, doubling the correct bits in each step.\n            inverse *= 2 - denominator * inverse; // inverse mod 2^8\n            inverse *= 2 - denominator * inverse; // inverse mod 2^16\n            inverse *= 2 - denominator * inverse; // inverse mod 2^32\n            inverse *= 2 - denominator * inverse; // inverse mod 2^64\n            inverse *= 2 - denominator * inverse; // inverse mod 2^128\n            inverse *= 2 - denominator * inverse; // inverse mod 2^256\n\n            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.\n            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is\n            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1\n            // is no longer required.\n            result = prod0 * inverse;\n            return result;\n        }\n    }\n\n    /**\n     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.\n     */\n    function mulDiv(\n        uint256 x,\n        uint256 y,\n        uint256 denominator,\n        Rounding rounding\n    ) internal pure returns (uint256) {\n        uint256 result = mulDiv(x, y, denominator);\n        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {\n            result += 1;\n        }\n        return result;\n    }\n\n    /**\n     * @dev Returns the square root of a number. It the number is not a perfect square, the value is rounded down.\n     *\n     * Inspired by Henry S. Warren, Jr.'s \"Hacker's Delight\" (Chapter 11).\n     */\n    function sqrt(uint256 a) internal pure returns (uint256) {\n        if (a == 0) {\n            return 0;\n        }\n\n        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.\n        // We know that the \"msb\" (most significant bit) of our target number `a` is a power of 2 such that we have\n        // `msb(a) <= a < 2*msb(a)`.\n        // We also know that `k`, the position of the most significant bit, is such that `msb(a) = 2**k`.\n        // This gives `2**k < a <= 2**(k+1)` → `2**(k/2) <= sqrt(a) < 2 ** (k/2+1)`.\n        // Using an algorithm similar to the msb conmputation, we are able to compute `result = 2**(k/2)` which is a\n        // good first aproximation of `sqrt(a)` with at least 1 correct bit.\n        uint256 result = 1;\n        uint256 x = a;\n        if (x >> 128 > 0) {\n            x >>= 128;\n            result <<= 64;\n        }\n        if (x >> 64 > 0) {\n            x >>= 64;\n            result <<= 32;\n        }\n        if (x >> 32 > 0) {\n            x >>= 32;\n            result <<= 16;\n        }\n        if (x >> 16 > 0) {\n            x >>= 16;\n            result <<= 8;\n        }\n        if (x >> 8 > 0) {\n            x >>= 8;\n            result <<= 4;\n        }\n        if (x >> 4 > 0) {\n            x >>= 4;\n            result <<= 2;\n        }\n        if (x >> 2 > 0) {\n            result <<= 1;\n        }\n\n        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,\n        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at\n        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision\n        // into the expected uint128 result.\n        unchecked {\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            result = (result + a / result) >> 1;\n            return min(result, a / result);\n        }\n    }\n\n    /**\n     * @notice Calculates sqrt(a), following the selected rounding direction.\n     */\n    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {\n        uint256 result = sqrt(a);\n        if (rounding == Rounding.Up && result * result < a) {\n            result += 1;\n        }\n        return result;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/access/IAccessControl.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev External interface of AccessControl declared to support ERC165 detection.\n */\ninterface IAccessControl {\n    /**\n     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`\n     *\n     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite\n     * {RoleAdminChanged} not being emitted signaling this.\n     *\n     * _Available since v3.1._\n     */\n    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);\n\n    /**\n     * @dev Emitted when `account` is granted `role`.\n     *\n     * `sender` is the account that originated the contract call, an admin role\n     * bearer except when using {AccessControl-_setupRole}.\n     */\n    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);\n\n    /**\n     * @dev Emitted when `account` is revoked `role`.\n     *\n     * `sender` is the account that originated the contract call:\n     *   - if using `revokeRole`, it is the admin role bearer\n     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)\n     */\n    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);\n\n    /**\n     * @dev Returns `true` if `account` has been granted `role`.\n     */\n    function hasRole(bytes32 role, address account) external view returns (bool);\n\n    /**\n     * @dev Returns the admin role that controls `role`. See {grantRole} and\n     * {revokeRole}.\n     *\n     * To change a role's admin, use {AccessControl-_setRoleAdmin}.\n     */\n    function getRoleAdmin(bytes32 role) external view returns (bytes32);\n\n    /**\n     * @dev Grants `role` to `account`.\n     *\n     * If `account` had not been already granted `role`, emits a {RoleGranted}\n     * event.\n     *\n     * Requirements:\n     *\n     * - the caller must have ``role``'s admin role.\n     */\n    function grantRole(bytes32 role, address account) external;\n\n    /**\n     * @dev Revokes `role` from `account`.\n     *\n     * If `account` had been granted `role`, emits a {RoleRevoked} event.\n     *\n     * Requirements:\n     *\n     * - the caller must have ``role``'s admin role.\n     */\n    function revokeRole(bytes32 role, address account) external;\n\n    /**\n     * @dev Revokes `role` from the calling account.\n     *\n     * Roles are often managed via {grantRole} and {revokeRole}: this function's\n     * purpose is to provide a mechanism for accounts to lose their privileges\n     * if they are compromised (such as when a trusted device is misplaced).\n     *\n     * If the calling account had been granted `role`, emits a {RoleRevoked}\n     * event.\n     *\n     * Requirements:\n     *\n     * - the caller must be `account`.\n     */\n    function renounceRole(bytes32 role, address account) external;\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/Strings.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (utils/Strings.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev String operations.\n */\nlibrary Strings {\n    bytes16 private constant _HEX_SYMBOLS = \"0123456789abcdef\";\n    uint8 private constant _ADDRESS_LENGTH = 20;\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` decimal representation.\n     */\n    function toString(uint256 value) internal pure returns (string memory) {\n        // Inspired by OraclizeAPI's implementation - MIT licence\n        // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol\n\n        if (value == 0) {\n            return \"0\";\n        }\n        uint256 temp = value;\n        uint256 digits;\n        while (temp != 0) {\n            digits++;\n            temp /= 10;\n        }\n        bytes memory buffer = new bytes(digits);\n        while (value != 0) {\n            digits -= 1;\n            buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));\n            value /= 10;\n        }\n        return string(buffer);\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.\n     */\n    function toHexString(uint256 value) internal pure returns (string memory) {\n        if (value == 0) {\n            return \"0x00\";\n        }\n        uint256 temp = value;\n        uint256 length = 0;\n        while (temp != 0) {\n            length++;\n            temp >>= 8;\n        }\n        return toHexString(value, length);\n    }\n\n    /**\n     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.\n     */\n    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {\n        bytes memory buffer = new bytes(2 * length + 2);\n        buffer[0] = \"0\";\n        buffer[1] = \"x\";\n        for (uint256 i = 2 * length + 1; i > 1; --i) {\n            buffer[i] = _HEX_SYMBOLS[value & 0xf];\n            value >>= 4;\n        }\n        require(value == 0, \"Strings: hex length insufficient\");\n        return string(buffer);\n    }\n\n    /**\n     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.\n     */\n    function toHexString(address addr) internal pure returns (string memory) {\n        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/Context.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Provides information about the current execution context, including the\n * sender of the transaction and its data. While these are generally available\n * via msg.sender and msg.data, they should not be accessed in such a direct\n * manner, since when dealing with meta-transactions the account sending and\n * paying for execution may not be the actual sender (as far as an application\n * is concerned).\n *\n * This contract is only required for intermediate, library-like contracts.\n */\nabstract contract Context {\n    function _msgSender() internal view virtual returns (address) {\n        return msg.sender;\n    }\n\n    function _msgData() internal view virtual returns (bytes calldata) {\n        return msg.data;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/introspection/ERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./IERC165.sol\";\n\n/**\n * @dev Implementation of the {IERC165} interface.\n *\n * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check\n * for the additional interface id that will be supported. For example:\n *\n * ```solidity\n * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);\n * }\n * ```\n *\n * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.\n */\nabstract contract ERC165 is IERC165 {\n    /**\n     * @dev See {IERC165-supportsInterface}.\n     */\n    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {\n        return interfaceId == type(IERC165).interfaceId;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/introspection/IERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Interface of the ERC165 standard, as defined in the\n * https://eips.ethereum.org/EIPS/eip-165[EIP].\n *\n * Implementers can declare support of contract interfaces, which can then be\n * queried by others ({ERC165Checker}).\n *\n * For an implementation, see {ERC165}.\n */\ninterface IERC165 {\n    /**\n     * @dev Returns true if this contract implements the interface defined by\n     * `interfaceId`. See the corresponding\n     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]\n     * to learn more about how these ids are created.\n     *\n     * This function call must use less than 30 000 gas.\n     */\n    function supportsInterface(bytes4 interfaceId) external view returns (bool);\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/extensions/IERC20Metadata.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../IERC20.sol\";\n\n/**\n * @dev Interface for the optional metadata functions from the ERC20 standard.\n *\n * _Available since v4.1._\n */\ninterface IERC20Metadata is IERC20 {\n    /**\n     * @dev Returns the name of the token.\n     */\n    function name() external view returns (string memory);\n\n    /**\n     * @dev Returns the symbol of the token.\n     */\n    function symbol() external view returns (string memory);\n\n    /**\n     * @dev Returns the decimals places of the token.\n     */\n    function decimals() external view returns (uint8);\n}\n"
    },
    "@openzeppelin/contracts/utils/introspection/IERC165.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Interface of the ERC165 standard, as defined in the\n * https://eips.ethereum.org/EIPS/eip-165[EIP].\n *\n * Implementers can declare support of contract interfaces, which can then be\n * queried by others ({ERC165Checker}).\n *\n * For an implementation, see {ERC165}.\n */\ninterface IERC165 {\n    /**\n     * @dev Returns true if this contract implements the interface defined by\n     * `interfaceId`. See the corresponding\n     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]\n     * to learn more about how these ids are created.\n     *\n     * This function call must use less than 30 000 gas.\n     */\n    function supportsInterface(bytes4 interfaceId) external view returns (bool);\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/cryptography/draft-EIP712.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/cryptography/draft-EIP712.sol)\n\npragma solidity ^0.8.0;\n\nimport \"./ECDSA.sol\";\n\n/**\n * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.\n *\n * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,\n * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding\n * they need in their contracts using a combination of `abi.encode` and `keccak256`.\n *\n * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding\n * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA\n * ({_hashTypedDataV4}).\n *\n * The implementation of the domain separator was designed to be as efficient as possible while still properly updating\n * the chain id to protect against replay attacks on an eventual fork of the chain.\n *\n * NOTE: This contract implements the version of the encoding known as \"v4\", as implemented by the JSON RPC method\n * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].\n *\n * _Available since v3.4._\n */\nabstract contract EIP712 {\n    /* solhint-disable var-name-mixedcase */\n    // Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to\n    // invalidate the cached domain separator if the chain id changes.\n    bytes32 private immutable _CACHED_DOMAIN_SEPARATOR;\n    uint256 private immutable _CACHED_CHAIN_ID;\n    address private immutable _CACHED_THIS;\n\n    bytes32 private immutable _HASHED_NAME;\n    bytes32 private immutable _HASHED_VERSION;\n    bytes32 private immutable _TYPE_HASH;\n\n    /* solhint-enable var-name-mixedcase */\n\n    /**\n     * @dev Initializes the domain separator and parameter caches.\n     *\n     * The meaning of `name` and `version` is specified in\n     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:\n     *\n     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.\n     * - `version`: the current major version of the signing domain.\n     *\n     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart\n     * contract upgrade].\n     */\n    constructor(string memory name, string memory version) {\n        bytes32 hashedName = keccak256(bytes(name));\n        bytes32 hashedVersion = keccak256(bytes(version));\n        bytes32 typeHash = keccak256(\n            \"EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)\"\n        );\n        _HASHED_NAME = hashedName;\n        _HASHED_VERSION = hashedVersion;\n        _CACHED_CHAIN_ID = block.chainid;\n        _CACHED_DOMAIN_SEPARATOR = _buildDomainSeparator(typeHash, hashedName, hashedVersion);\n        _CACHED_THIS = address(this);\n        _TYPE_HASH = typeHash;\n    }\n\n    /**\n     * @dev Returns the domain separator for the current chain.\n     */\n    function _domainSeparatorV4() internal view returns (bytes32) {\n        if (address(this) == _CACHED_THIS && block.chainid == _CACHED_CHAIN_ID) {\n            return _CACHED_DOMAIN_SEPARATOR;\n        } else {\n            return _buildDomainSeparator(_TYPE_HASH, _HASHED_NAME, _HASHED_VERSION);\n        }\n    }\n\n    function _buildDomainSeparator(\n        bytes32 typeHash,\n        bytes32 nameHash,\n        bytes32 versionHash\n    ) private view returns (bytes32) {\n        return keccak256(abi.encode(typeHash, nameHash, versionHash, block.chainid, address(this)));\n    }\n\n    /**\n     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this\n     * function returns the hash of the fully encoded EIP712 message for this domain.\n     *\n     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:\n     *\n     * ```solidity\n     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(\n     *     keccak256(\"Mail(address to,string contents)\"),\n     *     mailTo,\n     *     keccak256(bytes(mailContents))\n     * )));\n     * address signer = ECDSA.recover(digest, signature);\n     * ```\n     */\n    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {\n        return ECDSA.toTypedDataHash(_domainSeparatorV4(), structHash);\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/Counters.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @title Counters\n * @author Matt Condon (@shrugs)\n * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number\n * of elements in a mapping, issuing ERC721 ids, or counting request ids.\n *\n * Include with `using Counters for Counters.Counter;`\n */\nlibrary Counters {\n    struct Counter {\n        // This variable should never be directly accessed by users of the library: interactions must be restricted to\n        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add\n        // this feature: see https://github.com/ethereum/solidity/issues/4637\n        uint256 _value; // default: 0\n    }\n\n    function current(Counter storage counter) internal view returns (uint256) {\n        return counter._value;\n    }\n\n    function increment(Counter storage counter) internal {\n        unchecked {\n            counter._value += 1;\n        }\n    }\n\n    function decrement(Counter storage counter) internal {\n        uint256 value = counter._value;\n        require(value > 0, \"Counter: decrement overflow\");\n        unchecked {\n            counter._value = value - 1;\n        }\n    }\n\n    function reset(Counter storage counter) internal {\n        counter._value = 0;\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/cryptography/ECDSA.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (utils/cryptography/ECDSA.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../Strings.sol\";\n\n/**\n * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.\n *\n * These functions can be used to verify that a message was signed by the holder\n * of the private keys of a given address.\n */\nlibrary ECDSA {\n    enum RecoverError {\n        NoError,\n        InvalidSignature,\n        InvalidSignatureLength,\n        InvalidSignatureS,\n        InvalidSignatureV\n    }\n\n    function _throwError(RecoverError error) private pure {\n        if (error == RecoverError.NoError) {\n            return; // no error: do nothing\n        } else if (error == RecoverError.InvalidSignature) {\n            revert(\"ECDSA: invalid signature\");\n        } else if (error == RecoverError.InvalidSignatureLength) {\n            revert(\"ECDSA: invalid signature length\");\n        } else if (error == RecoverError.InvalidSignatureS) {\n            revert(\"ECDSA: invalid signature 's' value\");\n        } else if (error == RecoverError.InvalidSignatureV) {\n            revert(\"ECDSA: invalid signature 'v' value\");\n        }\n    }\n\n    /**\n     * @dev Returns the address that signed a hashed message (`hash`) with\n     * `signature` or error string. This address can then be used for verification purposes.\n     *\n     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:\n     * this function rejects them by requiring the `s` value to be in the lower\n     * half order, and the `v` value to be either 27 or 28.\n     *\n     * IMPORTANT: `hash` _must_ be the result of a hash operation for the\n     * verification to be secure: it is possible to craft signatures that\n     * recover to arbitrary addresses for non-hashed data. A safe way to ensure\n     * this is by receiving a hash of the original message (which may otherwise\n     * be too long), and then calling {toEthSignedMessageHash} on it.\n     *\n     * Documentation for signature generation:\n     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]\n     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]\n     *\n     * _Available since v4.3._\n     */\n    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {\n        // Check the signature length\n        // - case 65: r,s,v signature (standard)\n        // - case 64: r,vs signature (cf https://eips.ethereum.org/EIPS/eip-2098) _Available since v4.1._\n        if (signature.length == 65) {\n            bytes32 r;\n            bytes32 s;\n            uint8 v;\n            // ecrecover takes the signature parameters, and the only way to get them\n            // currently is to use assembly.\n            /// @solidity memory-safe-assembly\n            assembly {\n                r := mload(add(signature, 0x20))\n                s := mload(add(signature, 0x40))\n                v := byte(0, mload(add(signature, 0x60)))\n            }\n            return tryRecover(hash, v, r, s);\n        } else if (signature.length == 64) {\n            bytes32 r;\n            bytes32 vs;\n            // ecrecover takes the signature parameters, and the only way to get them\n            // currently is to use assembly.\n            /// @solidity memory-safe-assembly\n            assembly {\n                r := mload(add(signature, 0x20))\n                vs := mload(add(signature, 0x40))\n            }\n            return tryRecover(hash, r, vs);\n        } else {\n            return (address(0), RecoverError.InvalidSignatureLength);\n        }\n    }\n\n    /**\n     * @dev Returns the address that signed a hashed message (`hash`) with\n     * `signature`. This address can then be used for verification purposes.\n     *\n     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:\n     * this function rejects them by requiring the `s` value to be in the lower\n     * half order, and the `v` value to be either 27 or 28.\n     *\n     * IMPORTANT: `hash` _must_ be the result of a hash operation for the\n     * verification to be secure: it is possible to craft signatures that\n     * recover to arbitrary addresses for non-hashed data. A safe way to ensure\n     * this is by receiving a hash of the original message (which may otherwise\n     * be too long), and then calling {toEthSignedMessageHash} on it.\n     */\n    function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {\n        (address recovered, RecoverError error) = tryRecover(hash, signature);\n        _throwError(error);\n        return recovered;\n    }\n\n    /**\n     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.\n     *\n     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]\n     *\n     * _Available since v4.3._\n     */\n    function tryRecover(\n        bytes32 hash,\n        bytes32 r,\n        bytes32 vs\n    ) internal pure returns (address, RecoverError) {\n        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);\n        uint8 v = uint8((uint256(vs) >> 255) + 27);\n        return tryRecover(hash, v, r, s);\n    }\n\n    /**\n     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.\n     *\n     * _Available since v4.2._\n     */\n    function recover(\n        bytes32 hash,\n        bytes32 r,\n        bytes32 vs\n    ) internal pure returns (address) {\n        (address recovered, RecoverError error) = tryRecover(hash, r, vs);\n        _throwError(error);\n        return recovered;\n    }\n\n    /**\n     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,\n     * `r` and `s` signature fields separately.\n     *\n     * _Available since v4.3._\n     */\n    function tryRecover(\n        bytes32 hash,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) internal pure returns (address, RecoverError) {\n        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature\n        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines\n        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most\n        // signatures from current libraries generate a unique signature with an s-value in the lower half order.\n        //\n        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value\n        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or\n        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept\n        // these malleable signatures as well.\n        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {\n            return (address(0), RecoverError.InvalidSignatureS);\n        }\n        if (v != 27 && v != 28) {\n            return (address(0), RecoverError.InvalidSignatureV);\n        }\n\n        // If the signature is valid (and not malleable), return the signer address\n        address signer = ecrecover(hash, v, r, s);\n        if (signer == address(0)) {\n            return (address(0), RecoverError.InvalidSignature);\n        }\n\n        return (signer, RecoverError.NoError);\n    }\n\n    /**\n     * @dev Overload of {ECDSA-recover} that receives the `v`,\n     * `r` and `s` signature fields separately.\n     */\n    function recover(\n        bytes32 hash,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) internal pure returns (address) {\n        (address recovered, RecoverError error) = tryRecover(hash, v, r, s);\n        _throwError(error);\n        return recovered;\n    }\n\n    /**\n     * @dev Returns an Ethereum Signed Message, created from a `hash`. This\n     * produces hash corresponding to the one signed with the\n     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]\n     * JSON-RPC method as part of EIP-191.\n     *\n     * See {recover}.\n     */\n    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {\n        // 32 is the length in bytes of hash,\n        // enforced by the type signature above\n        return keccak256(abi.encodePacked(\"\\x19Ethereum Signed Message:\\n32\", hash));\n    }\n\n    /**\n     * @dev Returns an Ethereum Signed Message, created from `s`. This\n     * produces hash corresponding to the one signed with the\n     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]\n     * JSON-RPC method as part of EIP-191.\n     *\n     * See {recover}.\n     */\n    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {\n        return keccak256(abi.encodePacked(\"\\x19Ethereum Signed Message:\\n\", Strings.toString(s.length), s));\n    }\n\n    /**\n     * @dev Returns an Ethereum Signed Typed Data, created from a\n     * `domainSeparator` and a `structHash`. This produces hash corresponding\n     * to the one signed with the\n     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]\n     * JSON-RPC method as part of EIP-712.\n     *\n     * See {recover}.\n     */\n    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {\n        return keccak256(abi.encodePacked(\"\\x19\\x01\", domainSeparator, structHash));\n    }\n}\n"
    },
    "@openzeppelin/contracts_latest/token/ERC20/extensions/draft-IERC20Permit.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in\n * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].\n *\n * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by\n * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't\n * need to send a transaction, and thus is not required to hold Ether at all.\n */\ninterface IERC20Permit {\n    /**\n     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,\n     * given ``owner``'s signed approval.\n     *\n     * IMPORTANT: The same issues {IERC20-approve} has related to transaction\n     * ordering also apply here.\n     *\n     * Emits an {Approval} event.\n     *\n     * Requirements:\n     *\n     * - `spender` cannot be the zero address.\n     * - `deadline` must be a timestamp in the future.\n     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`\n     * over the EIP712-formatted function arguments.\n     * - the signature must use ``owner``'s current nonce (see {nonces}).\n     *\n     * For more information on the signature format, see the\n     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP\n     * section].\n     */\n    function permit(\n        address owner,\n        address spender,\n        uint256 value,\n        uint256 deadline,\n        uint8 v,\n        bytes32 r,\n        bytes32 s\n    ) external;\n\n    /**\n     * @dev Returns the current nonce for `owner`. This value must be\n     * included whenever a signature is generated for {permit}.\n     *\n     * Every successful call to {permit} increases ``owner``'s nonce by one. This\n     * prevents a signature from being used multiple times.\n     */\n    function nonces(address owner) external view returns (uint256);\n\n    /**\n     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.\n     */\n    // solhint-disable-next-line func-name-mixedcase\n    function DOMAIN_SEPARATOR() external view returns (bytes32);\n}\n"
    },
    "@openzeppelin/contracts_latest/utils/Address.sol": {
      "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol)\n\npragma solidity ^0.8.1;\n\n/**\n * @dev Collection of functions related to the address type\n */\nlibrary Address {\n    /**\n     * @dev Returns true if `account` is a contract.\n     *\n     * [IMPORTANT]\n     * ====\n     * It is unsafe to assume that an address for which this function returns\n     * false is an externally-owned account (EOA) and not a contract.\n     *\n     * Among others, `isContract` will return false for the following\n     * types of addresses:\n     *\n     *  - an externally-owned account\n     *  - a contract in construction\n     *  - an address where a contract will be created\n     *  - an address where a contract lived, but was destroyed\n     * ====\n     *\n     * [IMPORTANT]\n     * ====\n     * You shouldn't rely on `isContract` to protect against flash loan attacks!\n     *\n     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets\n     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract\n     * constructor.\n     * ====\n     */\n    function isContract(address account) internal view returns (bool) {\n        // This method relies on extcodesize/address.code.length, which returns 0\n        // for contracts in construction, since the code is only stored at the end\n        // of the constructor execution.\n\n        return account.code.length > 0;\n    }\n\n    /**\n     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to\n     * `recipient`, forwarding all available gas and reverting on errors.\n     *\n     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost\n     * of certain opcodes, possibly making contracts go over the 2300 gas limit\n     * imposed by `transfer`, making them unable to receive funds via\n     * `transfer`. {sendValue} removes this limitation.\n     *\n     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].\n     *\n     * IMPORTANT: because control is transferred to `recipient`, care must be\n     * taken to not create reentrancy vulnerabilities. Consider using\n     * {ReentrancyGuard} or the\n     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].\n     */\n    function sendValue(address payable recipient, uint256 amount) internal {\n        require(address(this).balance >= amount, \"Address: insufficient balance\");\n\n        (bool success, ) = recipient.call{value: amount}(\"\");\n        require(success, \"Address: unable to send value, recipient may have reverted\");\n    }\n\n    /**\n     * @dev Performs a Solidity function call using a low level `call`. A\n     * plain `call` is an unsafe replacement for a function call: use this\n     * function instead.\n     *\n     * If `target` reverts with a revert reason, it is bubbled up by this\n     * function (like regular Solidity function calls).\n     *\n     * Returns the raw returned data. To convert to the expected return value,\n     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].\n     *\n     * Requirements:\n     *\n     * - `target` must be a contract.\n     * - calling `target` with `data` must not revert.\n     *\n     * _Available since v3.1._\n     */\n    function functionCall(address target, bytes memory data) internal returns (bytes memory) {\n        return functionCall(target, data, \"Address: low-level call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with\n     * `errorMessage` as a fallback revert reason when `target` reverts.\n     *\n     * _Available since v3.1._\n     */\n    function functionCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, 0, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but also transferring `value` wei to `target`.\n     *\n     * Requirements:\n     *\n     * - the calling contract must have an ETH balance of at least `value`.\n     * - the called Solidity function must be `payable`.\n     *\n     * _Available since v3.1._\n     */\n    function functionCallWithValue(\n        address target,\n        bytes memory data,\n        uint256 value\n    ) internal returns (bytes memory) {\n        return functionCallWithValue(target, data, value, \"Address: low-level call with value failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but\n     * with `errorMessage` as a fallback revert reason when `target` reverts.\n     *\n     * _Available since v3.1._\n     */\n    function functionCallWithValue(\n        address target,\n        bytes memory data,\n        uint256 value,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        require(address(this).balance >= value, \"Address: insufficient balance for call\");\n        require(isContract(target), \"Address: call to non-contract\");\n\n        (bool success, bytes memory returndata) = target.call{value: value}(data);\n        return verifyCallResult(success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a static call.\n     *\n     * _Available since v3.3._\n     */\n    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {\n        return functionStaticCall(target, data, \"Address: low-level static call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],\n     * but performing a static call.\n     *\n     * _Available since v3.3._\n     */\n    function functionStaticCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal view returns (bytes memory) {\n        require(isContract(target), \"Address: static call to non-contract\");\n\n        (bool success, bytes memory returndata) = target.staticcall(data);\n        return verifyCallResult(success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],\n     * but performing a delegate call.\n     *\n     * _Available since v3.4._\n     */\n    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {\n        return functionDelegateCall(target, data, \"Address: low-level delegate call failed\");\n    }\n\n    /**\n     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],\n     * but performing a delegate call.\n     *\n     * _Available since v3.4._\n     */\n    function functionDelegateCall(\n        address target,\n        bytes memory data,\n        string memory errorMessage\n    ) internal returns (bytes memory) {\n        require(isContract(target), \"Address: delegate call to non-contract\");\n\n        (bool success, bytes memory returndata) = target.delegatecall(data);\n        return verifyCallResult(success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the\n     * revert reason using the provided one.\n     *\n     * _Available since v4.3._\n     */\n    function verifyCallResult(\n        bool success,\n        bytes memory returndata,\n        string memory errorMessage\n    ) internal pure returns (bytes memory) {\n        if (success) {\n            return returndata;\n        } else {\n            // Look for revert reason and bubble it up if present\n            if (returndata.length > 0) {\n                // The easiest way to bubble the revert reason is using memory via assembly\n                /// @solidity memory-safe-assembly\n                assembly {\n                    let returndata_size := mload(returndata)\n                    revert(add(32, returndata), returndata_size)\n                }\n            } else {\n                revert(errorMessage);\n            }\n        }\n    }\n}\n"
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