// File: @yield-protocol/vault-v2/contracts/oracles/uniswap/UniswapV3Oracle.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.6;

import "@yield-protocol/vault-interfaces/IOracle.sol";
import "@yield-protocol/utils-v2/contracts/access/AccessControl.sol";
import "@yield-protocol/utils-v2/contracts/cast/CastBytes32Bytes6.sol";
import "@yield-protocol/utils-v2/contracts/cast/CastU256U128.sol";
import "uniswapv3-oracle/contracts/uniswapv0.8/OracleLibrary.sol";
import "uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolImmutables.sol";

/**
 * @title UniswapV3Oracle
 */
contract UniswapV3Oracle is IOracle, AccessControl {
    using CastBytes32Bytes6 for bytes32;
    using CastU256U128 for uint256;

    event SourceSet(bytes6 indexed base, bytes6 indexed quote, address indexed pool, uint32 twapInterval);

    struct Source {
        address pool;
        address baseToken;
        address quoteToken;
        uint32 twapInterval;
    }

    mapping(bytes6 => mapping(bytes6 => Source)) public sources;

    /**
     * @notice Set or reset an oracle source, its inverse and twapInterval
     */
    function setSource(bytes6 base, bytes6 quote, address pool, uint32 twapInterval) external auth {
        require(twapInterval != 0, "Uniswap must look into the past.");
        _setSource(base, quote, pool, twapInterval);
    }

    /**
     * @notice Retrieve the value of the amount at the latest oracle price.
     */
    function peek(bytes32 base, bytes32 quote, uint256 amountBase)
        external view virtual override
        returns (uint256 amountQuote, uint256 updateTime)
    {
        return _peek(base.b6(), quote.b6(), amountBase);
    }

    /**
     * @notice Retrieve the value of the amount at the latest oracle price. Same as `peek` for this oracle.
     */
    function get(bytes32 base, bytes32 quote, uint256 amountBase)
        external virtual override
        returns (uint256 amountQuote, uint256 updateTime)
    {
        return _peek(base.b6(), quote.b6(), amountBase);
    }

    /**
     * @notice Retrieve the value of the amount at the latest oracle price.
     */
    function _peek(bytes6 base, bytes6 quote, uint256 amountBase)
        private view
        returns (uint256 amountQuote, uint256 updateTime)
    {
        Source memory source = sources[base][quote];
        require(source.pool != address(0), "Source not found");
        int24 twapTick = OracleLibrary.consult(source.pool, source.twapInterval);
        amountQuote = OracleLibrary.getQuoteAtTick(
            twapTick,
            amountBase.u128(),
            source.baseToken,
            source.quoteToken
        );
        updateTime = block.timestamp - source.twapInterval;
    }

    /**
     * @notice Set or reset an oracle source, its inverse and twapInterval
     */
    function _setSource(bytes6 base, bytes6 quote, address pool, uint32 twapInterval) internal {
        sources[base][quote] = Source(
            pool,
            IUniswapV3PoolImmutables(pool).token0(),
            IUniswapV3PoolImmutables(pool).token1(),
            twapInterval        
        );
        sources[quote][base] = Source(
            pool,
            IUniswapV3PoolImmutables(pool).token1(),
            IUniswapV3PoolImmutables(pool).token0(),
            twapInterval        
        );
        emit SourceSet(base, quote, pool, twapInterval);
        emit SourceSet(quote, base, pool, twapInterval);
    }
}
// File: @yield-protocol/vault-interfaces/IOracle.sol



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

interface IOracle {
    /**
     * @notice Doesn't refresh the price, but returns the latest value available without doing any transactional operations:
     * @return value in wei
     */
    function peek(bytes32 base, bytes32 quote, uint256 amount) external view returns (uint256 value, uint256 updateTime);

    /**
     * @notice Does whatever work or queries will yield the most up-to-date price, and returns it.
     * @return value in wei
     */
    function get(bytes32 base, bytes32 quote, uint256 amount) external returns (uint256 value, uint256 updateTime);
}

// File: @yield-protocol/utils-v2/contracts/access/AccessControl.sol



// SPDX-License-Identifier: MIT

pragma solidity ^0.8.0;
import "hardhat/console.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms.
 *
 * Roles are referred to by their `bytes4` identifier. These are expected to be the 
 * signatures for all the functions in the contract. Special roles should be exposed
 * in the external API and be unique:
 *
 * ```
 * bytes4 public constant ROOT = 0x00000000;
 * ```
 *
 * Roles represent restricted access to a function call. For that purpose, use {auth}:
 *
 * ```
 * function foo() public auth {
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `ROOT`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {setRoleAdmin}.
 *
 * WARNING: The `ROOT` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it.
 */
contract AccessControl {
    struct RoleData {
        mapping (address => bool) members;
        bytes4 adminRole;
    }

    mapping (bytes4 => RoleData) private _roles;

    bytes4 public constant ROOT = 0x00000000;
    bytes4 public constant ROOT4146650865 = 0x00000000; // Collision protection for ROOT, test with ROOT12007226833()
    bytes4 public constant LOCK = 0xFFFFFFFF;           // Used to disable further permissioning of a function
    bytes4 public constant LOCK8605463013 = 0xFFFFFFFF; // Collision protection for LOCK, test with LOCK10462387368()

    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role
     *
     * `ROOT` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes4 indexed role, bytes4 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call.
     */
    event RoleGranted(bytes4 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes4 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Give msg.sender the ROOT role and create a LOCK role with itself as the admin role and no members. 
     * Calling setRoleAdmin(msg.sig, LOCK) means no one can grant that msg.sig role anymore.
     */
    constructor () {
        _grantRole(ROOT, msg.sender);   // Grant ROOT to msg.sender
        _setRoleAdmin(LOCK, LOCK);      // Create the LOCK role by setting itself as its own admin, creating an independent role tree
    }

    /**
     * @dev Each function in the contract has its own role, identified by their msg.sig signature.
     * ROOT can give and remove access to each function, lock any further access being granted to
     * a specific action, or even create other roles to delegate admin control over a function.
     */
    modifier auth() {
        require (_hasRole(msg.sig, msg.sender), "Access denied");
        _;
    }

    /**
     * @dev Allow only if the caller has been granted the admin role of `role`.
     */
    modifier admin(bytes4 role) {
        require (_hasRole(_getRoleAdmin(role), msg.sender), "Only admin");
        _;
    }

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes4 role, address account) external view returns (bool) {
        return _hasRole(role, account);
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes4 role) external view returns (bytes4) {
        return _getRoleAdmin(role);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.

     * If ``role``'s admin role is not `adminRole` emits a {RoleAdminChanged} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function setRoleAdmin(bytes4 role, bytes4 adminRole) external virtual admin(role) {
        _setRoleAdmin(role, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes4 role, address account) external virtual admin(role) {
        _grantRole(role, account);
    }

    
    /**
     * @dev Grants all of `role` in `roles` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - For each `role` in `roles`, the caller must have ``role``'s admin role.
     */
    function grantRoles(bytes4[] memory roles, address account) external virtual {
        for (uint256 i = 0; i < roles.length; i++) {
            require (_hasRole(_getRoleAdmin(roles[i]), msg.sender), "Only admin");
            _grantRole(roles[i], account);
        }
    }

    /**
     * @dev Sets LOCK as ``role``'s admin role. LOCK has no members, so this disables admin management of ``role``.

     * Emits a {RoleAdminChanged} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function lockRole(bytes4 role) external virtual admin(role) {
        _setRoleAdmin(role, LOCK);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes4 role, address account) external virtual admin(role) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes all of `role` in `roles` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - For each `role` in `roles`, the caller must have ``role``'s admin role.
     */
    function revokeRoles(bytes4[] memory roles, address account) external virtual {
        for (uint256 i = 0; i < roles.length; i++) {
            require (_hasRole(_getRoleAdmin(roles[i]), msg.sender), "Only admin");
            _revokeRole(roles[i], account);
        }
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes4 role, address account) external virtual {
        require(account == msg.sender, "Renounce only for self");

        _revokeRole(role, account);
    }

    function _hasRole(bytes4 role, address account) internal view returns (bool) {
        return _roles[role].members[account];
    }

    function _getRoleAdmin(bytes4 role) internal view returns (bytes4) {
        return _roles[role].adminRole;
    }

    function _setRoleAdmin(bytes4 role, bytes4 adminRole) internal virtual {
        if (_getRoleAdmin(role) != adminRole) {
            _roles[role].adminRole = adminRole;
            emit RoleAdminChanged(role, adminRole);
        }
    }

    function _grantRole(bytes4 role, address account) internal {
        if (!_hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, msg.sender);
        }
    }

    function _revokeRole(bytes4 role, address account) internal {
        if (_hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, msg.sender);
        }
    }
}
// File: @yield-protocol/utils-v2/contracts/cast/CastBytes32Bytes6.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.0;


library CastBytes32Bytes6 {
    function b6(bytes32 x) internal pure returns (bytes6 y){
        require (bytes32(y = bytes6(x)) == x, "Cast overflow");
    }
}

// File: @yield-protocol/utils-v2/contracts/cast/CastU256U128.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.0;


library CastU256U128 {
    /// @dev Safely cast an uint256 to an uint128
    function u128(uint256 x) internal pure returns (uint128 y) {
        require (x <= type(uint128).max, "Cast overflow");
        y = uint128(x);
    }
}
// File: uniswapv3-oracle/contracts/uniswapv0.8/OracleLibrary.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

import "./FullMath.sol";
import "./TickMath.sol";
import "./IUniswapV3Pool.sol";
import "./LowGasSafeMath.sol";
import "./PoolAddress.sol";

/// @title Oracle library
/// @notice Provides functions to integrate with V3 pool oracle
library OracleLibrary {
    /// @notice Fetches time-weighted average tick using Uniswap V3 oracle
    /// @param pool Address of Uniswap V3 pool that we want to observe
    /// @param period Number of seconds in the past to start calculating time-weighted average
    /// @return timeWeightedAverageTick The time-weighted average tick from (block.timestamp - period) to block.timestamp
    function consult(address pool, uint32 period)
        internal
        view
        returns (int24 timeWeightedAverageTick)
    {
        require(period != 0, "BP");

        uint32[] memory secondAgos = new uint32[](2);
        secondAgos[0] = period;
        secondAgos[1] = 0;

        (int56[] memory tickCumulatives, ) = IUniswapV3Pool(pool).observe(
            secondAgos
        );
        int56 tickCumulativesDelta = tickCumulatives[1] - tickCumulatives[0];

        timeWeightedAverageTick = int24(
            tickCumulativesDelta / int56(uint56(period))
        );

        // Always round to negative infinity
        if (
            tickCumulativesDelta < 0 &&
            (tickCumulativesDelta % int56(uint56(period)) != 0)
        ) timeWeightedAverageTick--;
    }

    /// @notice Given a tick and a token amount, calculates the amount of token received in exchange
    /// @param tick Tick value used to calculate the quote
    /// @param baseAmount Amount of token to be converted
    /// @param baseToken Address of an ERC20 token contract used as the baseAmount denomination
    /// @param quoteToken Address of an ERC20 token contract used as the quoteAmount denomination
    /// @return quoteAmount Amount of quoteToken received for baseAmount of baseToken
    function getQuoteAtTick(
        int24 tick,
        uint128 baseAmount,
        address baseToken,
        address quoteToken
    ) internal pure returns (uint256 quoteAmount) {
        uint160 sqrtRatioX96 = TickMath.getSqrtRatioAtTick(tick);

        // Calculate quoteAmount with better precision if it doesn't overflow when multiplied by itself
        if (sqrtRatioX96 <= type(uint128).max) {
            uint256 ratioX192 = uint256(sqrtRatioX96) * sqrtRatioX96;
            quoteAmount = baseToken < quoteToken
                ? FullMath.mulDiv(ratioX192, baseAmount, 1 << 192)
                : FullMath.mulDiv(1 << 192, baseAmount, ratioX192);
        } else {
            uint256 ratioX128 = FullMath.mulDiv(
                sqrtRatioX96,
                sqrtRatioX96,
                1 << 64
            );
            quoteAmount = baseToken < quoteToken
                ? FullMath.mulDiv(ratioX128, baseAmount, 1 << 128)
                : FullMath.mulDiv(1 << 128, baseAmount, ratioX128);
        }
    }
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolImmutables.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IUniswapV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);

    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);

    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);

    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);

    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);

    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}

// File: hardhat/console.sol



// SPDX-License-Identifier: MIT
pragma solidity >= 0.4.22 <0.9.0;

library console {
	address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

	function _sendLogPayload(bytes memory payload) private view {
		uint256 payloadLength = payload.length;
		address consoleAddress = CONSOLE_ADDRESS;
		assembly {
			let payloadStart := add(payload, 32)
			let r := staticcall(gas(), consoleAddress, payloadStart, payloadLength, 0, 0)
		}
	}

	function log() internal view {
		_sendLogPayload(abi.encodeWithSignature("log()"));
	}

	function logInt(int p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(int)", p0));
	}

	function logUint(uint p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
	}

	function logString(string memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string)", p0));
	}

	function logBool(bool p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
	}

	function logAddress(address p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address)", p0));
	}

	function logBytes(bytes memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes)", p0));
	}

	function logBytes1(bytes1 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes1)", p0));
	}

	function logBytes2(bytes2 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes2)", p0));
	}

	function logBytes3(bytes3 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes3)", p0));
	}

	function logBytes4(bytes4 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes4)", p0));
	}

	function logBytes5(bytes5 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes5)", p0));
	}

	function logBytes6(bytes6 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes6)", p0));
	}

	function logBytes7(bytes7 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes7)", p0));
	}

	function logBytes8(bytes8 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes8)", p0));
	}

	function logBytes9(bytes9 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes9)", p0));
	}

	function logBytes10(bytes10 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes10)", p0));
	}

	function logBytes11(bytes11 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes11)", p0));
	}

	function logBytes12(bytes12 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes12)", p0));
	}

	function logBytes13(bytes13 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes13)", p0));
	}

	function logBytes14(bytes14 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes14)", p0));
	}

	function logBytes15(bytes15 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes15)", p0));
	}

	function logBytes16(bytes16 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes16)", p0));
	}

	function logBytes17(bytes17 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes17)", p0));
	}

	function logBytes18(bytes18 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes18)", p0));
	}

	function logBytes19(bytes19 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes19)", p0));
	}

	function logBytes20(bytes20 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes20)", p0));
	}

	function logBytes21(bytes21 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes21)", p0));
	}

	function logBytes22(bytes22 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes22)", p0));
	}

	function logBytes23(bytes23 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes23)", p0));
	}

	function logBytes24(bytes24 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes24)", p0));
	}

	function logBytes25(bytes25 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes25)", p0));
	}

	function logBytes26(bytes26 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes26)", p0));
	}

	function logBytes27(bytes27 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes27)", p0));
	}

	function logBytes28(bytes28 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes28)", p0));
	}

	function logBytes29(bytes29 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes29)", p0));
	}

	function logBytes30(bytes30 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes30)", p0));
	}

	function logBytes31(bytes31 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes31)", p0));
	}

	function logBytes32(bytes32 p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bytes32)", p0));
	}

	function log(uint p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint)", p0));
	}

	function log(string memory p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string)", p0));
	}

	function log(bool p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool)", p0));
	}

	function log(address p0) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address)", p0));
	}

	function log(uint p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint)", p0, p1));
	}

	function log(uint p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string)", p0, p1));
	}

	function log(uint p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool)", p0, p1));
	}

	function log(uint p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address)", p0, p1));
	}

	function log(string memory p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint)", p0, p1));
	}

	function log(string memory p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string)", p0, p1));
	}

	function log(string memory p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool)", p0, p1));
	}

	function log(string memory p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address)", p0, p1));
	}

	function log(bool p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint)", p0, p1));
	}

	function log(bool p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string)", p0, p1));
	}

	function log(bool p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool)", p0, p1));
	}

	function log(bool p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address)", p0, p1));
	}

	function log(address p0, uint p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint)", p0, p1));
	}

	function log(address p0, string memory p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string)", p0, p1));
	}

	function log(address p0, bool p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool)", p0, p1));
	}

	function log(address p0, address p1) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address)", p0, p1));
	}

	function log(uint p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
	}

	function log(uint p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
	}

	function log(uint p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
	}

	function log(uint p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
	}

	function log(uint p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
	}

	function log(uint p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
	}

	function log(uint p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
	}

	function log(uint p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
	}

	function log(uint p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
	}

	function log(uint p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
	}

	function log(uint p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
	}

	function log(uint p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
	}

	function log(uint p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
	}

	function log(string memory p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
	}

	function log(string memory p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
	}

	function log(string memory p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
	}

	function log(string memory p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
	}

	function log(string memory p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
	}

	function log(string memory p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
	}

	function log(string memory p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
	}

	function log(bool p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
	}

	function log(bool p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
	}

	function log(bool p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
	}

	function log(bool p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
	}

	function log(bool p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
	}

	function log(bool p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
	}

	function log(bool p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
	}

	function log(bool p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
	}

	function log(bool p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
	}

	function log(bool p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
	}

	function log(bool p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
	}

	function log(bool p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
	}

	function log(bool p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
	}

	function log(address p0, uint p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
	}

	function log(address p0, uint p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
	}

	function log(address p0, uint p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
	}

	function log(address p0, uint p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
	}

	function log(address p0, string memory p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
	}

	function log(address p0, string memory p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
	}

	function log(address p0, string memory p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
	}

	function log(address p0, string memory p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
	}

	function log(address p0, bool p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
	}

	function log(address p0, bool p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
	}

	function log(address p0, bool p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
	}

	function log(address p0, bool p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
	}

	function log(address p0, address p1, uint p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
	}

	function log(address p0, address p1, string memory p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
	}

	function log(address p0, address p1, bool p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
	}

	function log(address p0, address p1, address p2) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
	}

	function log(uint p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
	}

	function log(uint p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
	}

	function log(string memory p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
	}

	function log(bool p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, uint p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, string memory p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, bool p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, uint p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, string memory p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, bool p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, uint p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, string memory p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, bool p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
	}

	function log(address p0, address p1, address p2, address p3) internal view {
		_sendLogPayload(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
	}

}

// File: uniswapv3-oracle/contracts/uniswapv0.8/FullMath.sol



// SPDX-License-Identifier: MIT
pragma solidity >=0.4.0;

/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        // 512-bit multiply [prod1 prod0] = a * b
        // Compute the product mod 2**256 and mod 2**256 - 1
        // then use the Chinese Remainder Theorem to reconstruct
        // the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2**256 + prod0
        uint256 prod0; // Least significant 256 bits of the product
        uint256 prod1; // Most significant 256 bits of the product
        assembly {
            let mm := mulmod(a, b, not(0))
            prod0 := mul(a, b)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }

        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            require(denominator > 0);
            assembly {
                result := div(prod0, denominator)
            }
            return result;
        }

        // Make sure the result is less than 2**256.
        // Also prevents denominator == 0
        require(denominator > prod1);

        ///////////////////////////////////////////////
        // 512 by 256 division.
        ///////////////////////////////////////////////

        // Make division exact by subtracting the remainder from [prod1 prod0]
        // Compute remainder using mulmod
        uint256 remainder;
        assembly {
            remainder := mulmod(a, b, denominator)
        }
        // Subtract 256 bit number from 512 bit number
        assembly {
            prod1 := sub(prod1, gt(remainder, prod0))
            prod0 := sub(prod0, remainder)
        }

        // Factor powers of two out of denominator
        // Compute largest power of two divisor of denominator.
        // Always >= 1.
        uint256 twos = (~denominator + 1) & denominator;
        // Divide denominator by power of two
        assembly {
            denominator := div(denominator, twos)
        }

        // Divide [prod1 prod0] by the factors of two
        assembly {
            prod0 := div(prod0, twos)
        }
        // Shift in bits from prod1 into prod0. For this we need
        // to flip `twos` such that it is 2**256 / twos.
        // If twos is zero, then it becomes one
        assembly {
            twos := add(div(sub(0, twos), twos), 1)
        }
        unchecked {
            prod0 |= prod1 * twos;

            // Invert denominator mod 2**256
            // Now that denominator is an odd number, it has an inverse
            // modulo 2**256 such that denominator * inv = 1 mod 2**256.
            // Compute the inverse by starting with a seed that is correct
            // correct for four bits. That is, denominator * inv = 1 mod 2**4
            uint256 inv = (3 * denominator) ^ 2;
            // Now use Newton-Raphson iteration to improve the precision.
            // Thanks to Hensel's lifting lemma, this also works in modular
            // arithmetic, doubling the correct bits in each step.
            inv *= 2 - denominator * inv; // inverse mod 2**8
            inv *= 2 - denominator * inv; // inverse mod 2**16
            inv *= 2 - denominator * inv; // inverse mod 2**32
            inv *= 2 - denominator * inv; // inverse mod 2**64
            inv *= 2 - denominator * inv; // inverse mod 2**128
            inv *= 2 - denominator * inv; // inverse mod 2**256

            // Because the division is now exact we can divide by multiplying
            // with the modular inverse of denominator. This will give us the
            // correct result modulo 2**256. Since the precoditions guarantee
            // that the outcome is less than 2**256, this is the final result.
            // We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inv;
        }
        return result;
    }

    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/TickMath.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;

    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;

    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
        require(absTick <= uint256(uint24(MAX_TICK)), 'T');

        uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;

        if (tick > 0) ratio = type(uint256).max / ratio;

        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }

    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        // second inequality must be < because the price can never reach the price at the max tick
        require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
        uint256 ratio = uint256(sqrtPriceX96) << 32;

        uint256 r = ratio;
        uint256 msb = 0;

        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }

        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);

        int256 log_2 = (int256(msb) - 128) << 64;

        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }

        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number

        int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
        int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);

        tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
    }
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/IUniswapV3Pool.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

import './pool/IUniswapV3PoolImmutables.sol';
import './pool/IUniswapV3PoolState.sol';
import './pool/IUniswapV3PoolDerivedState.sol';
import './pool/IUniswapV3PoolActions.sol';
import './pool/IUniswapV3PoolOwnerActions.sol';
import './pool/IUniswapV3PoolEvents.sol';

/// @title The interface for a Uniswap V3 Pool
/// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IUniswapV3Pool is
    IUniswapV3PoolImmutables,
    IUniswapV3PoolState,
    IUniswapV3PoolDerivedState,
    IUniswapV3PoolActions,
    IUniswapV3PoolOwnerActions,
    IUniswapV3PoolEvents
{

}

// File: uniswapv3-oracle/contracts/uniswapv0.8/LowGasSafeMath.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;

/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }

    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }

    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }

    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }

    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/PoolAddress.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Provides functions for deriving a pool address from the factory, tokens, and the fee
library PoolAddress {
    bytes32 internal constant POOL_INIT_CODE_HASH = 0xe34f199b19b2b4f47f68442619d555527d244f78a3297ea89325f843f87b8b54;

    /// @notice The identifying key of the pool
    struct PoolKey {
        address token0;
        address token1;
        uint24 fee;
    }

    /// @notice Returns PoolKey: the ordered tokens with the matched fee levels
    /// @param tokenA The first token of a pool, unsorted
    /// @param tokenB The second token of a pool, unsorted
    /// @param fee The fee level of the pool
    /// @return Poolkey The pool details with ordered token0 and token1 assignments
    function getPoolKey(
        address tokenA,
        address tokenB,
        uint24 fee
    ) internal pure returns (PoolKey memory) {
        if (tokenA > tokenB) (tokenA, tokenB) = (tokenB, tokenA);
        return PoolKey({token0: tokenA, token1: tokenB, fee: fee});
    }

    /// @notice Deterministically computes the pool address given the factory and PoolKey
    /// @param factory The Uniswap V3 factory contract address
    /// @param key The PoolKey
    /// @return pool The contract address of the V3 pool
    function computeAddress(address factory, PoolKey memory key) internal pure returns (address pool) {
        require(key.token0 < key.token1);
        pool = address(
            uint160(
                uint256(
                    keccak256(
                        abi.encodePacked(
                            hex'ff',
                            factory,
                            keccak256(abi.encode(key.token0, key.token1, key.fee)),
                            POOL_INIT_CODE_HASH
                        )
                    )
                )
            )
        );
    }
}
// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolState.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IUniswapV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint8 feeProtocol,
            bool unlocked
        );

    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);

    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);

    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);

    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);

    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );

    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);

    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );

    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolDerivedState.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IUniswapV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);

    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolActions.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IUniswapV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;

    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);

    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);

    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);

    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);

    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;

    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolOwnerActions.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IUniswapV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;

    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
}

// File: uniswapv3-oracle/contracts/uniswapv0.8/pool/IUniswapV3PoolEvents.sol



// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);

    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );

    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick
    );

    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );

    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );

    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);

    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}