creation_sourcecode: {{
    "language": "Solidity",
    "sources": {
      "@openzeppelin/contracts/access/Ownable.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../utils/Context.sol\";\n\n/**\n * @dev Contract module which provides a basic access control mechanism, where\n * there is an account (an owner) that can be granted exclusive access to\n * specific functions.\n *\n * By default, the owner account will be the one that deploys the contract. This\n * can later be changed with {transferOwnership}.\n *\n * This module is used through inheritance. It will make available the modifier\n * `onlyOwner`, which can be applied to your functions to restrict their use to\n * the owner.\n */\nabstract contract Ownable is Context {\n    address private _owner;\n\n    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);\n\n    /**\n     * @dev Initializes the contract setting the deployer as the initial owner.\n     */\n    constructor() {\n        _transferOwnership(_msgSender());\n    }\n\n    /**\n     * @dev Throws if called by any account other than the owner.\n     */\n    modifier onlyOwner() {\n        _checkOwner();\n        _;\n    }\n\n    /**\n     * @dev Returns the address of the current owner.\n     */\n    function owner() public view virtual returns (address) {\n        return _owner;\n    }\n\n    /**\n     * @dev Throws if the sender is not the owner.\n     */\n    function _checkOwner() internal view virtual {\n        require(owner() == _msgSender(), \"Ownable: caller is not the owner\");\n    }\n\n    /**\n     * @dev Leaves the contract without owner. It will not be possible to call\n     * `onlyOwner` functions. Can only be called by the current owner.\n     *\n     * NOTE: Renouncing ownership will leave the contract without an owner,\n     * thereby disabling any functionality that is only available to the owner.\n     */\n    function renounceOwnership() public virtual onlyOwner {\n        _transferOwnership(address(0));\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Can only be called by the current owner.\n     */\n    function transferOwnership(address newOwner) public virtual onlyOwner {\n        require(newOwner != address(0), \"Ownable: new owner is the zero address\");\n        _transferOwnership(newOwner);\n    }\n\n    /**\n     * @dev Transfers ownership of the contract to a new account (`newOwner`).\n     * Internal function without access restriction.\n     */\n    function _transferOwnership(address newOwner) internal virtual {\n        address oldOwner = _owner;\n        _owner = newOwner;\n        emit OwnershipTransferred(oldOwner, newOwner);\n    }\n}\n"
      },
      "@openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/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/token/ERC20/IERC20.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (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(address from, address to, uint256 amount) external returns (bool);\n}\n"
      },
      "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)\n\npragma solidity ^0.8.0;\n\nimport \"../IERC20.sol\";\nimport \"../extensions/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    /**\n     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful.\n     */\n    function safeTransfer(IERC20 token, address to, uint256 value) internal {\n        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));\n    }\n\n    /**\n     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the\n     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.\n     */\n    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) 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(IERC20 token, address spender, uint256 value) 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    /**\n     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful.\n     */\n    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {\n        uint256 oldAllowance = token.allowance(address(this), spender);\n        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));\n    }\n\n    /**\n     * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful.\n     */\n    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {\n        unchecked {\n            uint256 oldAllowance = token.allowance(address(this), spender);\n            require(oldAllowance >= value, \"SafeERC20: decreased allowance below zero\");\n            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));\n        }\n    }\n\n    /**\n     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,\n     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval\n     * to be set to zero before setting it to a non-zero value, such as USDT.\n     */\n    function forceApprove(IERC20 token, address spender, uint256 value) internal {\n        bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);\n\n        if (!_callOptionalReturnBool(token, approvalCall)) {\n            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));\n            _callOptionalReturn(token, approvalCall);\n        }\n    }\n\n    /**\n     * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.\n     * Revert on invalid signature.\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        require(returndata.length == 0 || abi.decode(returndata, (bool)), \"SafeERC20: ERC20 operation 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     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.\n     */\n    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {\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 cannot use {Address-functionCall} here since this should return false\n        // and not revert is the subcall reverts.\n\n        (bool success, bytes memory returndata) = address(token).call(data);\n        return\n            success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));\n    }\n}\n"
      },
      "@openzeppelin/contracts/utils/Address.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (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     * Furthermore, `isContract` will also return true if the target contract within\n     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,\n     * which only has an effect at the end of a transaction.\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://consensys.net/diligence/blog/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/v0.8.0/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 functionCallWithValue(target, data, 0, \"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(address target, bytes memory data, uint256 value) 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        (bool success, bytes memory returndata) = target.call{value: value}(data);\n        return verifyCallResultFromTarget(target, 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        (bool success, bytes memory returndata) = target.staticcall(data);\n        return verifyCallResultFromTarget(target, 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        (bool success, bytes memory returndata) = target.delegatecall(data);\n        return verifyCallResultFromTarget(target, success, returndata, errorMessage);\n    }\n\n    /**\n     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling\n     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.\n     *\n     * _Available since v4.8._\n     */\n    function verifyCallResultFromTarget(\n        address target,\n        bool success,\n        bytes memory returndata,\n        string memory errorMessage\n    ) internal view returns (bytes memory) {\n        if (success) {\n            if (returndata.length == 0) {\n                // only check isContract if the call was successful and the return data is empty\n                // otherwise we already know that it was a contract\n                require(isContract(target), \"Address: call to non-contract\");\n            }\n            return returndata;\n        } else {\n            _revert(returndata, errorMessage);\n        }\n    }\n\n    /**\n     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the\n     * revert reason or 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            _revert(returndata, errorMessage);\n        }\n    }\n\n    function _revert(bytes memory returndata, string memory errorMessage) private pure {\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"
      },
      "@openzeppelin/contracts/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/utils/math/Math.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (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(uint256 x, uint256 y, uint256 denominator) 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                // Solidity will revert if denominator == 0, unlike the div opcode on its own.\n                // The surrounding unchecked block does not change this fact.\n                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.\n                return prod0 / denominator;\n            }\n\n            // Make sure the result is less than 2^256. Also prevents denominator == 0.\n            require(denominator > prod1, \"Math: mulDiv overflow\");\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(uint256 x, uint256 y, uint256 denominator, Rounding rounding) 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. If 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        //\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)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.\n        //\n        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`\n        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`\n        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`\n        //\n        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.\n        uint256 result = 1 << (log2(a) >> 1);\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        unchecked {\n            uint256 result = sqrt(a);\n            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 2, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >> 128 > 0) {\n                value >>= 128;\n                result += 128;\n            }\n            if (value >> 64 > 0) {\n                value >>= 64;\n                result += 64;\n            }\n            if (value >> 32 > 0) {\n                value >>= 32;\n                result += 32;\n            }\n            if (value >> 16 > 0) {\n                value >>= 16;\n                result += 16;\n            }\n            if (value >> 8 > 0) {\n                value >>= 8;\n                result += 8;\n            }\n            if (value >> 4 > 0) {\n                value >>= 4;\n                result += 4;\n            }\n            if (value >> 2 > 0) {\n                value >>= 2;\n                result += 2;\n            }\n            if (value >> 1 > 0) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log2(value);\n            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 10, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >= 10 ** 64) {\n                value /= 10 ** 64;\n                result += 64;\n            }\n            if (value >= 10 ** 32) {\n                value /= 10 ** 32;\n                result += 32;\n            }\n            if (value >= 10 ** 16) {\n                value /= 10 ** 16;\n                result += 16;\n            }\n            if (value >= 10 ** 8) {\n                value /= 10 ** 8;\n                result += 8;\n            }\n            if (value >= 10 ** 4) {\n                value /= 10 ** 4;\n                result += 4;\n            }\n            if (value >= 10 ** 2) {\n                value /= 10 ** 2;\n                result += 2;\n            }\n            if (value >= 10 ** 1) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log10(value);\n            return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);\n        }\n    }\n\n    /**\n     * @dev Return the log in base 256, rounded down, of a positive value.\n     * Returns 0 if given 0.\n     *\n     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.\n     */\n    function log256(uint256 value) internal pure returns (uint256) {\n        uint256 result = 0;\n        unchecked {\n            if (value >> 128 > 0) {\n                value >>= 128;\n                result += 16;\n            }\n            if (value >> 64 > 0) {\n                value >>= 64;\n                result += 8;\n            }\n            if (value >> 32 > 0) {\n                value >>= 32;\n                result += 4;\n            }\n            if (value >> 16 > 0) {\n                value >>= 16;\n                result += 2;\n            }\n            if (value >> 8 > 0) {\n                result += 1;\n            }\n        }\n        return result;\n    }\n\n    /**\n     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.\n     * Returns 0 if given 0.\n     */\n    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {\n        unchecked {\n            uint256 result = log256(value);\n            return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);\n        }\n    }\n}\n"
      },
      "@openzeppelin/contracts/utils/math/SafeCast.sol": {
        "content": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)\n// This file was procedurally generated from scripts/generate/templates/SafeCast.js.\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow\n * checks.\n *\n * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can\n * easily result in undesired exploitation or bugs, since developers usually\n * assume that overflows raise errors. `SafeCast` restores this intuition by\n * reverting the transaction when such an operation overflows.\n *\n * Using this library instead of the unchecked operations eliminates an entire\n * class of bugs, so it's recommended to use it always.\n *\n * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing\n * all math on `uint256` and `int256` and then downcasting.\n */\nlibrary SafeCast {\n    /**\n     * @dev Returns the downcasted uint248 from uint256, reverting on\n     * overflow (when the input is greater than largest uint248).\n     *\n     * Counterpart to Solidity's `uint248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint248(uint256 value) internal pure returns (uint248) {\n        require(value <= type(uint248).max, \"SafeCast: value doesn't fit in 248 bits\");\n        return uint248(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint240 from uint256, reverting on\n     * overflow (when the input is greater than largest uint240).\n     *\n     * Counterpart to Solidity's `uint240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint240(uint256 value) internal pure returns (uint240) {\n        require(value <= type(uint240).max, \"SafeCast: value doesn't fit in 240 bits\");\n        return uint240(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint232 from uint256, reverting on\n     * overflow (when the input is greater than largest uint232).\n     *\n     * Counterpart to Solidity's `uint232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint232(uint256 value) internal pure returns (uint232) {\n        require(value <= type(uint232).max, \"SafeCast: value doesn't fit in 232 bits\");\n        return uint232(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint224 from uint256, reverting on\n     * overflow (when the input is greater than largest uint224).\n     *\n     * Counterpart to Solidity's `uint224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     *\n     * _Available since v4.2._\n     */\n    function toUint224(uint256 value) internal pure returns (uint224) {\n        require(value <= type(uint224).max, \"SafeCast: value doesn't fit in 224 bits\");\n        return uint224(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint216 from uint256, reverting on\n     * overflow (when the input is greater than largest uint216).\n     *\n     * Counterpart to Solidity's `uint216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint216(uint256 value) internal pure returns (uint216) {\n        require(value <= type(uint216).max, \"SafeCast: value doesn't fit in 216 bits\");\n        return uint216(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint208 from uint256, reverting on\n     * overflow (when the input is greater than largest uint208).\n     *\n     * Counterpart to Solidity's `uint208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint208(uint256 value) internal pure returns (uint208) {\n        require(value <= type(uint208).max, \"SafeCast: value doesn't fit in 208 bits\");\n        return uint208(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint200 from uint256, reverting on\n     * overflow (when the input is greater than largest uint200).\n     *\n     * Counterpart to Solidity's `uint200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint200(uint256 value) internal pure returns (uint200) {\n        require(value <= type(uint200).max, \"SafeCast: value doesn't fit in 200 bits\");\n        return uint200(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint192 from uint256, reverting on\n     * overflow (when the input is greater than largest uint192).\n     *\n     * Counterpart to Solidity's `uint192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint192(uint256 value) internal pure returns (uint192) {\n        require(value <= type(uint192).max, \"SafeCast: value doesn't fit in 192 bits\");\n        return uint192(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint184 from uint256, reverting on\n     * overflow (when the input is greater than largest uint184).\n     *\n     * Counterpart to Solidity's `uint184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint184(uint256 value) internal pure returns (uint184) {\n        require(value <= type(uint184).max, \"SafeCast: value doesn't fit in 184 bits\");\n        return uint184(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint176 from uint256, reverting on\n     * overflow (when the input is greater than largest uint176).\n     *\n     * Counterpart to Solidity's `uint176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint176(uint256 value) internal pure returns (uint176) {\n        require(value <= type(uint176).max, \"SafeCast: value doesn't fit in 176 bits\");\n        return uint176(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint168 from uint256, reverting on\n     * overflow (when the input is greater than largest uint168).\n     *\n     * Counterpart to Solidity's `uint168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint168(uint256 value) internal pure returns (uint168) {\n        require(value <= type(uint168).max, \"SafeCast: value doesn't fit in 168 bits\");\n        return uint168(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint160 from uint256, reverting on\n     * overflow (when the input is greater than largest uint160).\n     *\n     * Counterpart to Solidity's `uint160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint160(uint256 value) internal pure returns (uint160) {\n        require(value <= type(uint160).max, \"SafeCast: value doesn't fit in 160 bits\");\n        return uint160(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint152 from uint256, reverting on\n     * overflow (when the input is greater than largest uint152).\n     *\n     * Counterpart to Solidity's `uint152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint152(uint256 value) internal pure returns (uint152) {\n        require(value <= type(uint152).max, \"SafeCast: value doesn't fit in 152 bits\");\n        return uint152(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint144 from uint256, reverting on\n     * overflow (when the input is greater than largest uint144).\n     *\n     * Counterpart to Solidity's `uint144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint144(uint256 value) internal pure returns (uint144) {\n        require(value <= type(uint144).max, \"SafeCast: value doesn't fit in 144 bits\");\n        return uint144(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint136 from uint256, reverting on\n     * overflow (when the input is greater than largest uint136).\n     *\n     * Counterpart to Solidity's `uint136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint136(uint256 value) internal pure returns (uint136) {\n        require(value <= type(uint136).max, \"SafeCast: value doesn't fit in 136 bits\");\n        return uint136(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint128 from uint256, reverting on\n     * overflow (when the input is greater than largest uint128).\n     *\n     * Counterpart to Solidity's `uint128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     *\n     * _Available since v2.5._\n     */\n    function toUint128(uint256 value) internal pure returns (uint128) {\n        require(value <= type(uint128).max, \"SafeCast: value doesn't fit in 128 bits\");\n        return uint128(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint120 from uint256, reverting on\n     * overflow (when the input is greater than largest uint120).\n     *\n     * Counterpart to Solidity's `uint120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint120(uint256 value) internal pure returns (uint120) {\n        require(value <= type(uint120).max, \"SafeCast: value doesn't fit in 120 bits\");\n        return uint120(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint112 from uint256, reverting on\n     * overflow (when the input is greater than largest uint112).\n     *\n     * Counterpart to Solidity's `uint112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint112(uint256 value) internal pure returns (uint112) {\n        require(value <= type(uint112).max, \"SafeCast: value doesn't fit in 112 bits\");\n        return uint112(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint104 from uint256, reverting on\n     * overflow (when the input is greater than largest uint104).\n     *\n     * Counterpart to Solidity's `uint104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint104(uint256 value) internal pure returns (uint104) {\n        require(value <= type(uint104).max, \"SafeCast: value doesn't fit in 104 bits\");\n        return uint104(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint96 from uint256, reverting on\n     * overflow (when the input is greater than largest uint96).\n     *\n     * Counterpart to Solidity's `uint96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     *\n     * _Available since v4.2._\n     */\n    function toUint96(uint256 value) internal pure returns (uint96) {\n        require(value <= type(uint96).max, \"SafeCast: value doesn't fit in 96 bits\");\n        return uint96(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint88 from uint256, reverting on\n     * overflow (when the input is greater than largest uint88).\n     *\n     * Counterpart to Solidity's `uint88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint88(uint256 value) internal pure returns (uint88) {\n        require(value <= type(uint88).max, \"SafeCast: value doesn't fit in 88 bits\");\n        return uint88(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint80 from uint256, reverting on\n     * overflow (when the input is greater than largest uint80).\n     *\n     * Counterpart to Solidity's `uint80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint80(uint256 value) internal pure returns (uint80) {\n        require(value <= type(uint80).max, \"SafeCast: value doesn't fit in 80 bits\");\n        return uint80(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint72 from uint256, reverting on\n     * overflow (when the input is greater than largest uint72).\n     *\n     * Counterpart to Solidity's `uint72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint72(uint256 value) internal pure returns (uint72) {\n        require(value <= type(uint72).max, \"SafeCast: value doesn't fit in 72 bits\");\n        return uint72(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint64 from uint256, reverting on\n     * overflow (when the input is greater than largest uint64).\n     *\n     * Counterpart to Solidity's `uint64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     *\n     * _Available since v2.5._\n     */\n    function toUint64(uint256 value) internal pure returns (uint64) {\n        require(value <= type(uint64).max, \"SafeCast: value doesn't fit in 64 bits\");\n        return uint64(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint56 from uint256, reverting on\n     * overflow (when the input is greater than largest uint56).\n     *\n     * Counterpart to Solidity's `uint56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint56(uint256 value) internal pure returns (uint56) {\n        require(value <= type(uint56).max, \"SafeCast: value doesn't fit in 56 bits\");\n        return uint56(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint48 from uint256, reverting on\n     * overflow (when the input is greater than largest uint48).\n     *\n     * Counterpart to Solidity's `uint48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint48(uint256 value) internal pure returns (uint48) {\n        require(value <= type(uint48).max, \"SafeCast: value doesn't fit in 48 bits\");\n        return uint48(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint40 from uint256, reverting on\n     * overflow (when the input is greater than largest uint40).\n     *\n     * Counterpart to Solidity's `uint40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint40(uint256 value) internal pure returns (uint40) {\n        require(value <= type(uint40).max, \"SafeCast: value doesn't fit in 40 bits\");\n        return uint40(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint32 from uint256, reverting on\n     * overflow (when the input is greater than largest uint32).\n     *\n     * Counterpart to Solidity's `uint32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     *\n     * _Available since v2.5._\n     */\n    function toUint32(uint256 value) internal pure returns (uint32) {\n        require(value <= type(uint32).max, \"SafeCast: value doesn't fit in 32 bits\");\n        return uint32(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint24 from uint256, reverting on\n     * overflow (when the input is greater than largest uint24).\n     *\n     * Counterpart to Solidity's `uint24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     *\n     * _Available since v4.7._\n     */\n    function toUint24(uint256 value) internal pure returns (uint24) {\n        require(value <= type(uint24).max, \"SafeCast: value doesn't fit in 24 bits\");\n        return uint24(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint16 from uint256, reverting on\n     * overflow (when the input is greater than largest uint16).\n     *\n     * Counterpart to Solidity's `uint16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     *\n     * _Available since v2.5._\n     */\n    function toUint16(uint256 value) internal pure returns (uint16) {\n        require(value <= type(uint16).max, \"SafeCast: value doesn't fit in 16 bits\");\n        return uint16(value);\n    }\n\n    /**\n     * @dev Returns the downcasted uint8 from uint256, reverting on\n     * overflow (when the input is greater than largest uint8).\n     *\n     * Counterpart to Solidity's `uint8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     *\n     * _Available since v2.5._\n     */\n    function toUint8(uint256 value) internal pure returns (uint8) {\n        require(value <= type(uint8).max, \"SafeCast: value doesn't fit in 8 bits\");\n        return uint8(value);\n    }\n\n    /**\n     * @dev Converts a signed int256 into an unsigned uint256.\n     *\n     * Requirements:\n     *\n     * - input must be greater than or equal to 0.\n     *\n     * _Available since v3.0._\n     */\n    function toUint256(int256 value) internal pure returns (uint256) {\n        require(value >= 0, \"SafeCast: value must be positive\");\n        return uint256(value);\n    }\n\n    /**\n     * @dev Returns the downcasted int248 from int256, reverting on\n     * overflow (when the input is less than smallest int248 or\n     * greater than largest int248).\n     *\n     * Counterpart to Solidity's `int248` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 248 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt248(int256 value) internal pure returns (int248 downcasted) {\n        downcasted = int248(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 248 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int240 from int256, reverting on\n     * overflow (when the input is less than smallest int240 or\n     * greater than largest int240).\n     *\n     * Counterpart to Solidity's `int240` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 240 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt240(int256 value) internal pure returns (int240 downcasted) {\n        downcasted = int240(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 240 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int232 from int256, reverting on\n     * overflow (when the input is less than smallest int232 or\n     * greater than largest int232).\n     *\n     * Counterpart to Solidity's `int232` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 232 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt232(int256 value) internal pure returns (int232 downcasted) {\n        downcasted = int232(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 232 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int224 from int256, reverting on\n     * overflow (when the input is less than smallest int224 or\n     * greater than largest int224).\n     *\n     * Counterpart to Solidity's `int224` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 224 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt224(int256 value) internal pure returns (int224 downcasted) {\n        downcasted = int224(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 224 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int216 from int256, reverting on\n     * overflow (when the input is less than smallest int216 or\n     * greater than largest int216).\n     *\n     * Counterpart to Solidity's `int216` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 216 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt216(int256 value) internal pure returns (int216 downcasted) {\n        downcasted = int216(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 216 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int208 from int256, reverting on\n     * overflow (when the input is less than smallest int208 or\n     * greater than largest int208).\n     *\n     * Counterpart to Solidity's `int208` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 208 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt208(int256 value) internal pure returns (int208 downcasted) {\n        downcasted = int208(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 208 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int200 from int256, reverting on\n     * overflow (when the input is less than smallest int200 or\n     * greater than largest int200).\n     *\n     * Counterpart to Solidity's `int200` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 200 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt200(int256 value) internal pure returns (int200 downcasted) {\n        downcasted = int200(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 200 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int192 from int256, reverting on\n     * overflow (when the input is less than smallest int192 or\n     * greater than largest int192).\n     *\n     * Counterpart to Solidity's `int192` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 192 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt192(int256 value) internal pure returns (int192 downcasted) {\n        downcasted = int192(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 192 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int184 from int256, reverting on\n     * overflow (when the input is less than smallest int184 or\n     * greater than largest int184).\n     *\n     * Counterpart to Solidity's `int184` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 184 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt184(int256 value) internal pure returns (int184 downcasted) {\n        downcasted = int184(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 184 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int176 from int256, reverting on\n     * overflow (when the input is less than smallest int176 or\n     * greater than largest int176).\n     *\n     * Counterpart to Solidity's `int176` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 176 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt176(int256 value) internal pure returns (int176 downcasted) {\n        downcasted = int176(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 176 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int168 from int256, reverting on\n     * overflow (when the input is less than smallest int168 or\n     * greater than largest int168).\n     *\n     * Counterpart to Solidity's `int168` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 168 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt168(int256 value) internal pure returns (int168 downcasted) {\n        downcasted = int168(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 168 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int160 from int256, reverting on\n     * overflow (when the input is less than smallest int160 or\n     * greater than largest int160).\n     *\n     * Counterpart to Solidity's `int160` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 160 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt160(int256 value) internal pure returns (int160 downcasted) {\n        downcasted = int160(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 160 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int152 from int256, reverting on\n     * overflow (when the input is less than smallest int152 or\n     * greater than largest int152).\n     *\n     * Counterpart to Solidity's `int152` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 152 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt152(int256 value) internal pure returns (int152 downcasted) {\n        downcasted = int152(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 152 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int144 from int256, reverting on\n     * overflow (when the input is less than smallest int144 or\n     * greater than largest int144).\n     *\n     * Counterpart to Solidity's `int144` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 144 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt144(int256 value) internal pure returns (int144 downcasted) {\n        downcasted = int144(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 144 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int136 from int256, reverting on\n     * overflow (when the input is less than smallest int136 or\n     * greater than largest int136).\n     *\n     * Counterpart to Solidity's `int136` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 136 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt136(int256 value) internal pure returns (int136 downcasted) {\n        downcasted = int136(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 136 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int128 from int256, reverting on\n     * overflow (when the input is less than smallest int128 or\n     * greater than largest int128).\n     *\n     * Counterpart to Solidity's `int128` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 128 bits\n     *\n     * _Available since v3.1._\n     */\n    function toInt128(int256 value) internal pure returns (int128 downcasted) {\n        downcasted = int128(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 128 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int120 from int256, reverting on\n     * overflow (when the input is less than smallest int120 or\n     * greater than largest int120).\n     *\n     * Counterpart to Solidity's `int120` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 120 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt120(int256 value) internal pure returns (int120 downcasted) {\n        downcasted = int120(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 120 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int112 from int256, reverting on\n     * overflow (when the input is less than smallest int112 or\n     * greater than largest int112).\n     *\n     * Counterpart to Solidity's `int112` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 112 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt112(int256 value) internal pure returns (int112 downcasted) {\n        downcasted = int112(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 112 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int104 from int256, reverting on\n     * overflow (when the input is less than smallest int104 or\n     * greater than largest int104).\n     *\n     * Counterpart to Solidity's `int104` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 104 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt104(int256 value) internal pure returns (int104 downcasted) {\n        downcasted = int104(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 104 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int96 from int256, reverting on\n     * overflow (when the input is less than smallest int96 or\n     * greater than largest int96).\n     *\n     * Counterpart to Solidity's `int96` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 96 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt96(int256 value) internal pure returns (int96 downcasted) {\n        downcasted = int96(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 96 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int88 from int256, reverting on\n     * overflow (when the input is less than smallest int88 or\n     * greater than largest int88).\n     *\n     * Counterpart to Solidity's `int88` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 88 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt88(int256 value) internal pure returns (int88 downcasted) {\n        downcasted = int88(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 88 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int80 from int256, reverting on\n     * overflow (when the input is less than smallest int80 or\n     * greater than largest int80).\n     *\n     * Counterpart to Solidity's `int80` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 80 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt80(int256 value) internal pure returns (int80 downcasted) {\n        downcasted = int80(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 80 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int72 from int256, reverting on\n     * overflow (when the input is less than smallest int72 or\n     * greater than largest int72).\n     *\n     * Counterpart to Solidity's `int72` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 72 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt72(int256 value) internal pure returns (int72 downcasted) {\n        downcasted = int72(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 72 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int64 from int256, reverting on\n     * overflow (when the input is less than smallest int64 or\n     * greater than largest int64).\n     *\n     * Counterpart to Solidity's `int64` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 64 bits\n     *\n     * _Available since v3.1._\n     */\n    function toInt64(int256 value) internal pure returns (int64 downcasted) {\n        downcasted = int64(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 64 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int56 from int256, reverting on\n     * overflow (when the input is less than smallest int56 or\n     * greater than largest int56).\n     *\n     * Counterpart to Solidity's `int56` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 56 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt56(int256 value) internal pure returns (int56 downcasted) {\n        downcasted = int56(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 56 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int48 from int256, reverting on\n     * overflow (when the input is less than smallest int48 or\n     * greater than largest int48).\n     *\n     * Counterpart to Solidity's `int48` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 48 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt48(int256 value) internal pure returns (int48 downcasted) {\n        downcasted = int48(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 48 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int40 from int256, reverting on\n     * overflow (when the input is less than smallest int40 or\n     * greater than largest int40).\n     *\n     * Counterpart to Solidity's `int40` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 40 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt40(int256 value) internal pure returns (int40 downcasted) {\n        downcasted = int40(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 40 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int32 from int256, reverting on\n     * overflow (when the input is less than smallest int32 or\n     * greater than largest int32).\n     *\n     * Counterpart to Solidity's `int32` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 32 bits\n     *\n     * _Available since v3.1._\n     */\n    function toInt32(int256 value) internal pure returns (int32 downcasted) {\n        downcasted = int32(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 32 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int24 from int256, reverting on\n     * overflow (when the input is less than smallest int24 or\n     * greater than largest int24).\n     *\n     * Counterpart to Solidity's `int24` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 24 bits\n     *\n     * _Available since v4.7._\n     */\n    function toInt24(int256 value) internal pure returns (int24 downcasted) {\n        downcasted = int24(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 24 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int16 from int256, reverting on\n     * overflow (when the input is less than smallest int16 or\n     * greater than largest int16).\n     *\n     * Counterpart to Solidity's `int16` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 16 bits\n     *\n     * _Available since v3.1._\n     */\n    function toInt16(int256 value) internal pure returns (int16 downcasted) {\n        downcasted = int16(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 16 bits\");\n    }\n\n    /**\n     * @dev Returns the downcasted int8 from int256, reverting on\n     * overflow (when the input is less than smallest int8 or\n     * greater than largest int8).\n     *\n     * Counterpart to Solidity's `int8` operator.\n     *\n     * Requirements:\n     *\n     * - input must fit into 8 bits\n     *\n     * _Available since v3.1._\n     */\n    function toInt8(int256 value) internal pure returns (int8 downcasted) {\n        downcasted = int8(value);\n        require(downcasted == value, \"SafeCast: value doesn't fit in 8 bits\");\n    }\n\n    /**\n     * @dev Converts an unsigned uint256 into a signed int256.\n     *\n     * Requirements:\n     *\n     * - input must be less than or equal to maxInt256.\n     *\n     * _Available since v3.0._\n     */\n    function toInt256(uint256 value) internal pure returns (int256) {\n        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive\n        require(value <= uint256(type(int256).max), \"SafeCast: value doesn't fit in an int256\");\n        return int256(value);\n    }\n}\n"
      },
      "@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol": {
        "content": "pragma solidity >=0.5.0;\n\ninterface IUniswapV2Pair {\n    event Approval(address indexed owner, address indexed spender, uint value);\n    event Transfer(address indexed from, address indexed to, uint value);\n\n    function name() external pure returns (string memory);\n    function symbol() external pure returns (string memory);\n    function decimals() external pure returns (uint8);\n    function totalSupply() external view returns (uint);\n    function balanceOf(address owner) external view returns (uint);\n    function allowance(address owner, address spender) external view returns (uint);\n\n    function approve(address spender, uint value) external returns (bool);\n    function transfer(address to, uint value) external returns (bool);\n    function transferFrom(address from, address to, uint value) external returns (bool);\n\n    function DOMAIN_SEPARATOR() external view returns (bytes32);\n    function PERMIT_TYPEHASH() external pure returns (bytes32);\n    function nonces(address owner) external view returns (uint);\n\n    function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;\n\n    event Mint(address indexed sender, uint amount0, uint amount1);\n    event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);\n    event Swap(\n        address indexed sender,\n        uint amount0In,\n        uint amount1In,\n        uint amount0Out,\n        uint amount1Out,\n        address indexed to\n    );\n    event Sync(uint112 reserve0, uint112 reserve1);\n\n    function MINIMUM_LIQUIDITY() external pure returns (uint);\n    function factory() external view returns (address);\n    function token0() external view returns (address);\n    function token1() external view returns (address);\n    function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);\n    function price0CumulativeLast() external view returns (uint);\n    function price1CumulativeLast() external view returns (uint);\n    function kLast() external view returns (uint);\n\n    function mint(address to) external returns (uint liquidity);\n    function burn(address to) external returns (uint amount0, uint amount1);\n    function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;\n    function skim(address to) external;\n    function sync() external;\n\n    function initialize(address, address) external;\n}\n"
      },
      "contracts/dso/LPRewards.sol": {
        "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.0;\n\nimport \"@openzeppelin/contracts/access/Ownable.sol\";\nimport \"@openzeppelin/contracts/token/ERC20/IERC20.sol\";\nimport \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport \"@openzeppelin/contracts/utils/math/SafeCast.sol\";\nimport \"@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol\";\nimport \"@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol\";\nimport \"../interfaces/ILPRewards.sol\";\nimport \"../interfaces/IPriceFeedAggregator.sol\";\nimport \"./PoolHelper.sol\";\n\n/// @title Contract for handling LP rewards\n/// @notice Each LP token has its own LPRewards contract\ncontract LPRewards is ILPRewards, Ownable {\n  using SafeERC20 for IERC20;\n  using SafeCast for uint256;\n\n  uint8 public immutable decimals;\n  IUniswapV2Pair public immutable lpToken;\n  IPriceFeedAggregator public immutable priceFeedAggregator;\n\n  address public ochi;\n  uint64 public currentEpoch;\n  int256 public totalAmountLocked;\n  uint256 public epochMinLPBalance;\n  uint256 public currentLPValue;\n  int256 public cumulativeProfit;\n\n  mapping(uint256 tokenId => LockingTokenData) public lockingTokenData;\n  mapping(uint256 epochId => EpochData) public epochData;\n\n  modifier onlyOCHI() {\n    if (msg.sender != ochi) {\n      revert NotOCHI();\n    }\n    _;\n  }\n\n  constructor(IUniswapV2Pair _lpToken, IPriceFeedAggregator _priceFeedAggregator) {\n    lpToken = _lpToken;\n    decimals = lpToken.decimals();\n    priceFeedAggregator = _priceFeedAggregator;\n    currentEpoch = 1;\n    totalAmountLocked = 0;\n  }\n\n  function setOCHI(address _ochi) external onlyOwner {\n    ochi = _ochi;\n    emit SetOCHI(_ochi);\n  }\n\n  /// @notice Locks LP tokens for given period, user gets rewards until the end of the period\n  /// @param lockingTokenId Unique OCHI id\n  /// @param amount Amount of LP tokens to lock\n  /// @param epochDuration Locking duration in epochs\n  /// @custom:usage This function should be called from OCHI contract in purpose of locking LP tokens\n  function lockLP(uint256 lockingTokenId, uint256 amount, uint64 epochDuration) external onlyOCHI {\n    if (amount == 0) {\n      return;\n    }\n\n    LockingTokenData storage position = lockingTokenData[lockingTokenId];\n\n    if (position.amountLocked != 0) {\n      revert LockingTokenIdAlreadyUsed(lockingTokenId);\n    }\n\n    uint64 nextEpoch = currentEpoch + 1;\n    epochData[nextEpoch].totalDeltaAmountLocked += amount.toInt256();\n    epochData[nextEpoch + epochDuration].totalDeltaAmountLocked -= amount.toInt256();\n\n    position.amountLocked = amount;\n    position.endingEpoch = nextEpoch + epochDuration;\n    position.lastClaimedEpoch = currentEpoch;\n\n    emit LockLP(lockingTokenId, amount, currentEpoch, position.endingEpoch);\n  }\n\n  /// @notice Claims rewards for given token id\n  /// @param lockingTokenId Unique OCHI id\n  /// @param account Account to send rewards to\n  /// @custom:usage This function should be called from OCHI contract in purpose of claiming rewards\n  function claimRewards(uint256 lockingTokenId, address account) external onlyOCHI {\n    int256 rewardUSD = calculateUnclaimedReward(lockingTokenId);\n    if (rewardUSD < 0) {\n      return;\n    }\n\n    uint256 totalPoolValue = PoolHelper.getTotalPoolUSDValue(lpToken, priceFeedAggregator);\n    uint256 lpTokensToBurn = Math.mulDiv(uint256(rewardUSD), lpToken.totalSupply(), totalPoolValue);\n    if (lpTokensToBurn == 0) {\n      return;\n    }\n\n    IERC20(address(lpToken)).safeTransfer(address(lpToken), lpTokensToBurn);\n    lpToken.burn(account);\n\n    uint256 newBalance = lpToken.balanceOf(address(this));\n    if (newBalance < epochMinLPBalance) epochMinLPBalance = newBalance;\n\n    lockingTokenData[lockingTokenId].lastClaimedEpoch = currentEpoch - 1;\n\n    emit ClaimRewards(lockingTokenId, account, lpTokensToBurn, rewardUSD);\n  }\n\n  /// @notice End current epoch and start new one\n  /// @custom:usage This function should be called from OCHI contract when epoch is updated\n  function updateEpoch() external onlyOCHI {\n    EpochData storage epoch = epochData[currentEpoch];\n\n    totalAmountLocked += epoch.totalDeltaAmountLocked;\n\n    uint256 prevLPValue = currentLPValue;\n    currentLPValue = PoolHelper.getUSDValueForLP(10 ** decimals, lpToken, priceFeedAggregator);\n\n    int256 totalProfit = (currentLPValue.toInt256() - prevLPValue.toInt256()) * epochMinLPBalance.toInt256();\n    int256 profitPerLockedToken;\n    if (totalAmountLocked != 0) {\n      profitPerLockedToken = totalProfit / totalAmountLocked;\n    }\n\n    cumulativeProfit += profitPerLockedToken;\n    epoch.cumulativeProfit = cumulativeProfit;\n\n    epochMinLPBalance = lpToken.balanceOf(address(this));\n    currentEpoch++;\n\n    emit UpdateEpoch(currentEpoch - 1, currentLPValue, totalAmountLocked, profitPerLockedToken);\n  }\n\n  /// @notice Takes LP tokens from contract and sends them to receiver\n  /// @param receiver Account to send LP tokens to\n  /// @custom:usage This function should be called only in case of moving liquidity to another pool\n  function recoverLPTokens(address receiver) external onlyOCHI {\n    uint256 amount = lpToken.balanceOf(address(this));\n    IERC20(address(lpToken)).safeTransfer(receiver, amount);\n    emit RecoverLPTokens(receiver, amount);\n  }\n\n  /// @notice Calculates unclaimed rewards for given token id\n  /// @param lockingTokenId Unique OCHI id\n  function calculateUnclaimedReward(uint256 lockingTokenId) public view returns (int256) {\n    LockingTokenData storage position = lockingTokenData[lockingTokenId];\n    if (position.endingEpoch == 0) {\n      return 0;\n    }\n\n    uint64 fromEpoch = position.lastClaimedEpoch;\n    uint64 toEpoch = currentEpoch - 1;\n    if (position.endingEpoch - 1 < toEpoch) toEpoch = position.endingEpoch - 1;\n    if (toEpoch <= fromEpoch) return 0;\n\n    int256 profitDelta = epochData[toEpoch].cumulativeProfit - epochData[fromEpoch].cumulativeProfit;\n    int256 totalUSDreward = (position.amountLocked.toInt256() * profitDelta) / (10 ** decimals).toInt256();\n    return totalUSDreward;\n  }\n\n  /// @notice Calculates the profit in last epoch in usd value\n  function getLastEpochProfit() external view returns (int256) {\n    if (currentEpoch < 2) return 0;\n    return epochData[currentEpoch - 1].cumulativeProfit - epochData[currentEpoch - 2].cumulativeProfit;\n  }\n}\n"
      },
      "contracts/dso/PoolHelper.sol": {
        "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.0;\n\nimport \"@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol\";\nimport \"@openzeppelin/contracts/utils/math/Math.sol\";\nimport \"../interfaces/IPriceFeedAggregator.sol\";\n\nlibrary PoolHelper {\n  function getTotalPoolUSDValue(\n    IUniswapV2Pair pair,\n    IPriceFeedAggregator priceFeedAggregator\n  ) internal view returns (uint256) {\n    (uint112 token0amount, uint112 token1amount, ) = pair.getReserves();\n    uint256 price0 = priceFeedAggregator.peek(pair.token0());\n    uint256 price1 = priceFeedAggregator.peek(pair.token1());\n\n    // assuming both tokens have 18 decimals!\n    uint256 totalValue = Math.mulDiv(token0amount, price0, 1e18) + Math.mulDiv(token1amount, price1, 1e18);\n    return totalValue;\n  }\n\n  function getUSDValueForLP(\n    uint256 lpAmount,\n    IUniswapV2Pair pair,\n    IPriceFeedAggregator priceFeedAggregator\n  ) internal view returns (uint256) {\n    return Math.mulDiv(getTotalPoolUSDValue(pair, priceFeedAggregator), lpAmount, pair.totalSupply());\n  }\n}\n"
      },
      "contracts/interfaces/ILPRewards.sol": {
        "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.0;\n\ninterface ILPRewards {\n  struct LockingTokenData {\n    uint256 amountLocked;\n    uint64 lastClaimedEpoch;\n    uint64 endingEpoch;\n  }\n\n  struct EpochData {\n    int256 totalDeltaAmountLocked;\n    int256 cumulativeProfit;\n  }\n\n  event LockLP(uint256 indexed lockingTokenId, uint256 amount, uint64 currentEpoch, uint64 endingEpoch);\n  event ClaimRewards(uint256 indexed lockingTokenId, address indexed account, uint256 amount, int256 rewardUSD);\n  event UpdateEpoch(uint64 indexed epoch, uint256 lpValue, int256 totalAmountLocked, int256 profitPerToken);\n  event RecoverLPTokens(address indexed account, uint256 amount);\n  event SetOCHI(address indexed ochi);\n\n  error LockingTokenIdAlreadyUsed(uint256 lockingTokenId);\n  error ClaimngRewardLessThanZero();\n  error NotOCHI();\n\n  /// @notice Gets current epoch\n  /// @return currentEpoch Current epoch\n  function currentEpoch() external view returns (uint64 currentEpoch);\n\n  /// @notice Sets address of OCHI contract\n  /// @param _ochi Address of OCHI contract\n  /// @custom:usage This function should be called only once during deployment\n  /// @custom:usage Caller must be owner\n  function setOCHI(address _ochi) external;\n\n  /// @notice Locks LP tokens for given period, user gets rewards until the end of the period\n  /// @param lockingTokenId Unique OCHI id\n  /// @param amount Amount of LP tokens to lock\n  /// @param epochDuration Locking duration in epochs\n  /// @custom:usage This function should be called from OCHI contract in purpose of locking LP tokens\n  function lockLP(uint256 lockingTokenId, uint256 amount, uint64 epochDuration) external;\n\n  /// @notice Claims rewards for given token id\n  /// @param lockingTokenId Unique OCHI id\n  /// @param account Account to send rewards to\n  /// @custom:usage This function should be called from OCHI contract in purpose of claiming rewards\n  function claimRewards(uint256 lockingTokenId, address account) external;\n\n  /// @notice End current epoch and start new one\n  /// @custom:usage This function should be called from OCHI contract when epoch is updated\n  function updateEpoch() external;\n\n  /// @notice Takes LP tokens from contract and sends them to receiver\n  /// @param receiver Account to send LP tokens to\n  /// @custom:usage This function should be called only in case of moving liquidity to another pool\n  function recoverLPTokens(address receiver) external;\n\n  /// @notice Calculates unclaimed rewards for given token id\n  /// @param lockingTokenId Unique OCHI id\n  /// @return rewardUSD Amount of unclaimed rewards in USD\n  function calculateUnclaimedReward(uint256 lockingTokenId) external view returns (int256 rewardUSD);\n  \n  /// @notice returns profit in USD for the last epoch\n  /// @return profit profit in USD\n  function getLastEpochProfit() external view returns (int256 profit);\n}\n"
      },
      "contracts/interfaces/IPriceFeedAggregator.sol": {
        "content": "// SPDX-License-Identifier: MIT\npragma solidity ^0.8.0;\n\ninterface IPriceFeedAggregator {\n  event SetPriceFeed(address indexed base, address indexed feed);\n\n  error ZeroAddress();\n\n  /// @notice Sets price feed adapter for given token\n  /// @param base Token address\n  /// @param feed Price feed adapter address\n  function setPriceFeed(address base, address feed) external;\n\n  /// @notice Gets price for given token\n  /// @param base Token address\n  /// @return price Price for given token\n  function peek(address base) external view returns (uint256 price);\n}\n"
      }
    },
    "settings": {
      "optimizer": {
        "enabled": true,
        "runs": 1000
      },
      "viaIR": true,
      "outputSelection": {
        "*": {
          "*": [
            "evm.bytecode",
            "evm.deployedBytecode",
            "devdoc",
            "userdoc",
            "metadata",
            "abi"
          ]
        }
      },
      "libraries": {}
    }
  }}