ETH Price: $1,889.71 (-0.55%)

Transaction Decoder

Block:
22029254 at Mar-12-2025 07:20:11 AM +UTC
Transaction Fee:
0.000255266908594702 ETH $0.48
Gas Used:
119,401 Gas / 2.137895902 Gwei

Emitted Events:

119 WETH9.Transfer( src=UniswapV3Pool, dst=[Receiver] 0xa69babef1ca67a37ffaf7a485dfff3382056e78c, wad=681203434898449520 )
120 FiatTokenProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x000000000000000000000000a69babef1ca67a37ffaf7a485dfff3382056e78c, 0x0000000000000000000000007bea39867e4169dbe237d55c8242a8f2fcdcc387, 000000000000000000000000000000000000000000000000000000004d4c5210 )
121 UniswapV3Pool.Swap( sender=[Receiver] 0xa69babef1ca67a37ffaf7a485dfff3382056e78c, recipient=[Receiver] 0xa69babef1ca67a37ffaf7a485dfff3382056e78c, amount0=1296847376, amount1=-681203434898449520, sqrtPriceX96=1823361921458737796526389722500537, liquidity=16763241385795387, tick=200887 )

Account State Difference:

  Address   Before After State Difference Code
0x614800dC...485f00c20
0.407260646803095679 Eth
Nonce: 44440
0.407005379888855918 Eth
Nonce: 44441
0.000255266914239761
0x7BeA3986...2fcDcc387
(Uniswap V3: USDC)
0xA0b86991...E3606eB48
0xA69babEF...82056e78C
(MEV Bot: 0xA69...78C)
200.322291551028699039 Eth200.322291551034344098 Eth0.000000000005645059
0xC02aaA39...83C756Cc2
2.177152562038132743 Eth2.177328013600605008 Eth0.000175451562472265

Execution Trace

ETH 0.000000000005645059 MEV Bot: 0xA69...78C.78e111f6( )
  • ETH 0.000000000005645059 0x9fb09d8b3325c773202832c9b444bdb324e6e7c1.f4ff5295( )
    • UniswapV3Pool.swap( recipient=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, zeroForOne=True, amountSpecified=1296847376, sqrtPriceLimitX96=1823284571916602009793778959485891, data=0x4BB528BB7CDA572AB965D4B27F95F803355DD17776390560EB895027369077E4000000000000000000000000A69BABEF1CA67A37FFAF7A485DFFF3382056E78C000000000000000000000000A0B86991C6218B36C1D19D4A2E9EB0CE3606EB48 ) => ( amount0=1296847376, amount1=-681203434898449520 )
      • WETH9.transfer( dst=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, wad=681203434898449520 ) => ( True )
      • FiatTokenProxy.70a08231( )
        • FiatTokenV2_2.balanceOf( account=0x7BeA39867e4169DBe237d55C8242a8f2fcDcc387 ) => ( 238040132296 )
        • MEV Bot: 0xA69...78C.fa461e33( )
          • FiatTokenProxy.a9059cbb( )
            • FiatTokenV2_2.transfer( to=0x7BeA39867e4169DBe237d55C8242a8f2fcDcc387, value=1296847376 ) => ( True )
            • FiatTokenProxy.70a08231( )
              • FiatTokenV2_2.balanceOf( account=0x7BeA39867e4169DBe237d55C8242a8f2fcDcc387 ) => ( 239336979672 )
                File 1 of 4: UniswapV3Pool
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity =0.7.6;
                import './interfaces/IUniswapV3Pool.sol';
                import './NoDelegateCall.sol';
                import './libraries/LowGasSafeMath.sol';
                import './libraries/SafeCast.sol';
                import './libraries/Tick.sol';
                import './libraries/TickBitmap.sol';
                import './libraries/Position.sol';
                import './libraries/Oracle.sol';
                import './libraries/FullMath.sol';
                import './libraries/FixedPoint128.sol';
                import './libraries/TransferHelper.sol';
                import './libraries/TickMath.sol';
                import './libraries/LiquidityMath.sol';
                import './libraries/SqrtPriceMath.sol';
                import './libraries/SwapMath.sol';
                import './interfaces/IUniswapV3PoolDeployer.sol';
                import './interfaces/IUniswapV3Factory.sol';
                import './interfaces/IERC20Minimal.sol';
                import './interfaces/callback/IUniswapV3MintCallback.sol';
                import './interfaces/callback/IUniswapV3SwapCallback.sol';
                import './interfaces/callback/IUniswapV3FlashCallback.sol';
                contract UniswapV3Pool is IUniswapV3Pool, NoDelegateCall {
                    using LowGasSafeMath for uint256;
                    using LowGasSafeMath for int256;
                    using SafeCast for uint256;
                    using SafeCast for int256;
                    using Tick for mapping(int24 => Tick.Info);
                    using TickBitmap for mapping(int16 => uint256);
                    using Position for mapping(bytes32 => Position.Info);
                    using Position for Position.Info;
                    using Oracle for Oracle.Observation[65535];
                    /// @inheritdoc IUniswapV3PoolImmutables
                    address public immutable override factory;
                    /// @inheritdoc IUniswapV3PoolImmutables
                    address public immutable override token0;
                    /// @inheritdoc IUniswapV3PoolImmutables
                    address public immutable override token1;
                    /// @inheritdoc IUniswapV3PoolImmutables
                    uint24 public immutable override fee;
                    /// @inheritdoc IUniswapV3PoolImmutables
                    int24 public immutable override tickSpacing;
                    /// @inheritdoc IUniswapV3PoolImmutables
                    uint128 public immutable override maxLiquidityPerTick;
                    struct Slot0 {
                        // the current price
                        uint160 sqrtPriceX96;
                        // the current tick
                        int24 tick;
                        // the most-recently updated index of the observations array
                        uint16 observationIndex;
                        // the current maximum number of observations that are being stored
                        uint16 observationCardinality;
                        // the next maximum number of observations to store, triggered in observations.write
                        uint16 observationCardinalityNext;
                        // the current protocol fee as a percentage of the swap fee taken on withdrawal
                        // represented as an integer denominator (1/x)%
                        uint8 feeProtocol;
                        // whether the pool is locked
                        bool unlocked;
                    }
                    /// @inheritdoc IUniswapV3PoolState
                    Slot0 public override slot0;
                    /// @inheritdoc IUniswapV3PoolState
                    uint256 public override feeGrowthGlobal0X128;
                    /// @inheritdoc IUniswapV3PoolState
                    uint256 public override feeGrowthGlobal1X128;
                    // accumulated protocol fees in token0/token1 units
                    struct ProtocolFees {
                        uint128 token0;
                        uint128 token1;
                    }
                    /// @inheritdoc IUniswapV3PoolState
                    ProtocolFees public override protocolFees;
                    /// @inheritdoc IUniswapV3PoolState
                    uint128 public override liquidity;
                    /// @inheritdoc IUniswapV3PoolState
                    mapping(int24 => Tick.Info) public override ticks;
                    /// @inheritdoc IUniswapV3PoolState
                    mapping(int16 => uint256) public override tickBitmap;
                    /// @inheritdoc IUniswapV3PoolState
                    mapping(bytes32 => Position.Info) public override positions;
                    /// @inheritdoc IUniswapV3PoolState
                    Oracle.Observation[65535] public override observations;
                    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
                    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
                    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
                    modifier lock() {
                        require(slot0.unlocked, 'LOK');
                        slot0.unlocked = false;
                        _;
                        slot0.unlocked = true;
                    }
                    /// @dev Prevents calling a function from anyone except the address returned by IUniswapV3Factory#owner()
                    modifier onlyFactoryOwner() {
                        require(msg.sender == IUniswapV3Factory(factory).owner());
                        _;
                    }
                    constructor() {
                        int24 _tickSpacing;
                        (factory, token0, token1, fee, _tickSpacing) = IUniswapV3PoolDeployer(msg.sender).parameters();
                        tickSpacing = _tickSpacing;
                        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
                    }
                    /// @dev Common checks for valid tick inputs.
                    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
                        require(tickLower < tickUpper, 'TLU');
                        require(tickLower >= TickMath.MIN_TICK, 'TLM');
                        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
                    }
                    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
                    function _blockTimestamp() internal view virtual returns (uint32) {
                        return uint32(block.timestamp); // truncation is desired
                    }
                    /// @dev Get the pool's balance of token0
                    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
                    /// check
                    function balance0() private view returns (uint256) {
                        (bool success, bytes memory data) =
                            token0.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
                        require(success && data.length >= 32);
                        return abi.decode(data, (uint256));
                    }
                    /// @dev Get the pool's balance of token1
                    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
                    /// check
                    function balance1() private view returns (uint256) {
                        (bool success, bytes memory data) =
                            token1.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
                        require(success && data.length >= 32);
                        return abi.decode(data, (uint256));
                    }
                    /// @inheritdoc IUniswapV3PoolDerivedState
                    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
                        external
                        view
                        override
                        noDelegateCall
                        returns (
                            int56 tickCumulativeInside,
                            uint160 secondsPerLiquidityInsideX128,
                            uint32 secondsInside
                        )
                    {
                        checkTicks(tickLower, tickUpper);
                        int56 tickCumulativeLower;
                        int56 tickCumulativeUpper;
                        uint160 secondsPerLiquidityOutsideLowerX128;
                        uint160 secondsPerLiquidityOutsideUpperX128;
                        uint32 secondsOutsideLower;
                        uint32 secondsOutsideUpper;
                        {
                            Tick.Info storage lower = ticks[tickLower];
                            Tick.Info storage upper = ticks[tickUpper];
                            bool initializedLower;
                            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                                lower.tickCumulativeOutside,
                                lower.secondsPerLiquidityOutsideX128,
                                lower.secondsOutside,
                                lower.initialized
                            );
                            require(initializedLower);
                            bool initializedUpper;
                            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                                upper.tickCumulativeOutside,
                                upper.secondsPerLiquidityOutsideX128,
                                upper.secondsOutside,
                                upper.initialized
                            );
                            require(initializedUpper);
                        }
                        Slot0 memory _slot0 = slot0;
                        if (_slot0.tick < tickLower) {
                            return (
                                tickCumulativeLower - tickCumulativeUpper,
                                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                                secondsOutsideLower - secondsOutsideUpper
                            );
                        } else if (_slot0.tick < tickUpper) {
                            uint32 time = _blockTimestamp();
                            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                                observations.observeSingle(
                                    time,
                                    0,
                                    _slot0.tick,
                                    _slot0.observationIndex,
                                    liquidity,
                                    _slot0.observationCardinality
                                );
                            return (
                                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                                secondsPerLiquidityCumulativeX128 -
                                    secondsPerLiquidityOutsideLowerX128 -
                                    secondsPerLiquidityOutsideUpperX128,
                                time - secondsOutsideLower - secondsOutsideUpper
                            );
                        } else {
                            return (
                                tickCumulativeUpper - tickCumulativeLower,
                                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                                secondsOutsideUpper - secondsOutsideLower
                            );
                        }
                    }
                    /// @inheritdoc IUniswapV3PoolDerivedState
                    function observe(uint32[] calldata secondsAgos)
                        external
                        view
                        override
                        noDelegateCall
                        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
                    {
                        return
                            observations.observe(
                                _blockTimestamp(),
                                secondsAgos,
                                slot0.tick,
                                slot0.observationIndex,
                                liquidity,
                                slot0.observationCardinality
                            );
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
                        external
                        override
                        lock
                        noDelegateCall
                    {
                        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
                        uint16 observationCardinalityNextNew =
                            observations.grow(observationCardinalityNextOld, observationCardinalityNext);
                        slot0.observationCardinalityNext = observationCardinalityNextNew;
                        if (observationCardinalityNextOld != observationCardinalityNextNew)
                            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    /// @dev not locked because it initializes unlocked
                    function initialize(uint160 sqrtPriceX96) external override {
                        require(slot0.sqrtPriceX96 == 0, 'AI');
                        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
                        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
                        slot0 = Slot0({
                            sqrtPriceX96: sqrtPriceX96,
                            tick: tick,
                            observationIndex: 0,
                            observationCardinality: cardinality,
                            observationCardinalityNext: cardinalityNext,
                            feeProtocol: 0,
                            unlocked: true
                        });
                        emit Initialize(sqrtPriceX96, tick);
                    }
                    struct ModifyPositionParams {
                        // the address that owns the position
                        address owner;
                        // the lower and upper tick of the position
                        int24 tickLower;
                        int24 tickUpper;
                        // any change in liquidity
                        int128 liquidityDelta;
                    }
                    /// @dev Effect some changes to a position
                    /// @param params the position details and the change to the position's liquidity to effect
                    /// @return position a storage pointer referencing the position with the given owner and tick range
                    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
                    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
                    function _modifyPosition(ModifyPositionParams memory params)
                        private
                        noDelegateCall
                        returns (
                            Position.Info storage position,
                            int256 amount0,
                            int256 amount1
                        )
                    {
                        checkTicks(params.tickLower, params.tickUpper);
                        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
                        position = _updatePosition(
                            params.owner,
                            params.tickLower,
                            params.tickUpper,
                            params.liquidityDelta,
                            _slot0.tick
                        );
                        if (params.liquidityDelta != 0) {
                            if (_slot0.tick < params.tickLower) {
                                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                                amount0 = SqrtPriceMath.getAmount0Delta(
                                    TickMath.getSqrtRatioAtTick(params.tickLower),
                                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                                    params.liquidityDelta
                                );
                            } else if (_slot0.tick < params.tickUpper) {
                                // current tick is inside the passed range
                                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                                // write an oracle entry
                                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                                    _slot0.observationIndex,
                                    _blockTimestamp(),
                                    _slot0.tick,
                                    liquidityBefore,
                                    _slot0.observationCardinality,
                                    _slot0.observationCardinalityNext
                                );
                                amount0 = SqrtPriceMath.getAmount0Delta(
                                    _slot0.sqrtPriceX96,
                                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                                    params.liquidityDelta
                                );
                                amount1 = SqrtPriceMath.getAmount1Delta(
                                    TickMath.getSqrtRatioAtTick(params.tickLower),
                                    _slot0.sqrtPriceX96,
                                    params.liquidityDelta
                                );
                                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
                            } else {
                                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                                amount1 = SqrtPriceMath.getAmount1Delta(
                                    TickMath.getSqrtRatioAtTick(params.tickLower),
                                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                                    params.liquidityDelta
                                );
                            }
                        }
                    }
                    /// @dev Gets and updates a position with the given liquidity delta
                    /// @param owner the owner of the position
                    /// @param tickLower the lower tick of the position's tick range
                    /// @param tickUpper the upper tick of the position's tick range
                    /// @param tick the current tick, passed to avoid sloads
                    function _updatePosition(
                        address owner,
                        int24 tickLower,
                        int24 tickUpper,
                        int128 liquidityDelta,
                        int24 tick
                    ) private returns (Position.Info storage position) {
                        position = positions.get(owner, tickLower, tickUpper);
                        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
                        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
                        // if we need to update the ticks, do it
                        bool flippedLower;
                        bool flippedUpper;
                        if (liquidityDelta != 0) {
                            uint32 time = _blockTimestamp();
                            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                                observations.observeSingle(
                                    time,
                                    0,
                                    slot0.tick,
                                    slot0.observationIndex,
                                    liquidity,
                                    slot0.observationCardinality
                                );
                            flippedLower = ticks.update(
                                tickLower,
                                tick,
                                liquidityDelta,
                                _feeGrowthGlobal0X128,
                                _feeGrowthGlobal1X128,
                                secondsPerLiquidityCumulativeX128,
                                tickCumulative,
                                time,
                                false,
                                maxLiquidityPerTick
                            );
                            flippedUpper = ticks.update(
                                tickUpper,
                                tick,
                                liquidityDelta,
                                _feeGrowthGlobal0X128,
                                _feeGrowthGlobal1X128,
                                secondsPerLiquidityCumulativeX128,
                                tickCumulative,
                                time,
                                true,
                                maxLiquidityPerTick
                            );
                            if (flippedLower) {
                                tickBitmap.flipTick(tickLower, tickSpacing);
                            }
                            if (flippedUpper) {
                                tickBitmap.flipTick(tickUpper, tickSpacing);
                            }
                        }
                        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
                            ticks.getFeeGrowthInside(tickLower, tickUpper, tick, _feeGrowthGlobal0X128, _feeGrowthGlobal1X128);
                        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
                        // clear any tick data that is no longer needed
                        if (liquidityDelta < 0) {
                            if (flippedLower) {
                                ticks.clear(tickLower);
                            }
                            if (flippedUpper) {
                                ticks.clear(tickUpper);
                            }
                        }
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    /// @dev noDelegateCall is applied indirectly via _modifyPosition
                    function mint(
                        address recipient,
                        int24 tickLower,
                        int24 tickUpper,
                        uint128 amount,
                        bytes calldata data
                    ) external override lock returns (uint256 amount0, uint256 amount1) {
                        require(amount > 0);
                        (, int256 amount0Int, int256 amount1Int) =
                            _modifyPosition(
                                ModifyPositionParams({
                                    owner: recipient,
                                    tickLower: tickLower,
                                    tickUpper: tickUpper,
                                    liquidityDelta: int256(amount).toInt128()
                                })
                            );
                        amount0 = uint256(amount0Int);
                        amount1 = uint256(amount1Int);
                        uint256 balance0Before;
                        uint256 balance1Before;
                        if (amount0 > 0) balance0Before = balance0();
                        if (amount1 > 0) balance1Before = balance1();
                        IUniswapV3MintCallback(msg.sender).uniswapV3MintCallback(amount0, amount1, data);
                        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
                        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
                        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    function collect(
                        address recipient,
                        int24 tickLower,
                        int24 tickUpper,
                        uint128 amount0Requested,
                        uint128 amount1Requested
                    ) external override lock returns (uint128 amount0, uint128 amount1) {
                        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
                        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
                        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
                        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
                        if (amount0 > 0) {
                            position.tokensOwed0 -= amount0;
                            TransferHelper.safeTransfer(token0, recipient, amount0);
                        }
                        if (amount1 > 0) {
                            position.tokensOwed1 -= amount1;
                            TransferHelper.safeTransfer(token1, recipient, amount1);
                        }
                        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    /// @dev noDelegateCall is applied indirectly via _modifyPosition
                    function burn(
                        int24 tickLower,
                        int24 tickUpper,
                        uint128 amount
                    ) external override lock returns (uint256 amount0, uint256 amount1) {
                        (Position.Info storage position, int256 amount0Int, int256 amount1Int) =
                            _modifyPosition(
                                ModifyPositionParams({
                                    owner: msg.sender,
                                    tickLower: tickLower,
                                    tickUpper: tickUpper,
                                    liquidityDelta: -int256(amount).toInt128()
                                })
                            );
                        amount0 = uint256(-amount0Int);
                        amount1 = uint256(-amount1Int);
                        if (amount0 > 0 || amount1 > 0) {
                            (position.tokensOwed0, position.tokensOwed1) = (
                                position.tokensOwed0 + uint128(amount0),
                                position.tokensOwed1 + uint128(amount1)
                            );
                        }
                        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
                    }
                    struct SwapCache {
                        // the protocol fee for the input token
                        uint8 feeProtocol;
                        // liquidity at the beginning of the swap
                        uint128 liquidityStart;
                        // the timestamp of the current block
                        uint32 blockTimestamp;
                        // the current value of the tick accumulator, computed only if we cross an initialized tick
                        int56 tickCumulative;
                        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
                        uint160 secondsPerLiquidityCumulativeX128;
                        // whether we've computed and cached the above two accumulators
                        bool computedLatestObservation;
                    }
                    // the top level state of the swap, the results of which are recorded in storage at the end
                    struct SwapState {
                        // the amount remaining to be swapped in/out of the input/output asset
                        int256 amountSpecifiedRemaining;
                        // the amount already swapped out/in of the output/input asset
                        int256 amountCalculated;
                        // current sqrt(price)
                        uint160 sqrtPriceX96;
                        // the tick associated with the current price
                        int24 tick;
                        // the global fee growth of the input token
                        uint256 feeGrowthGlobalX128;
                        // amount of input token paid as protocol fee
                        uint128 protocolFee;
                        // the current liquidity in range
                        uint128 liquidity;
                    }
                    struct StepComputations {
                        // the price at the beginning of the step
                        uint160 sqrtPriceStartX96;
                        // the next tick to swap to from the current tick in the swap direction
                        int24 tickNext;
                        // whether tickNext is initialized or not
                        bool initialized;
                        // sqrt(price) for the next tick (1/0)
                        uint160 sqrtPriceNextX96;
                        // how much is being swapped in in this step
                        uint256 amountIn;
                        // how much is being swapped out
                        uint256 amountOut;
                        // how much fee is being paid in
                        uint256 feeAmount;
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    function swap(
                        address recipient,
                        bool zeroForOne,
                        int256 amountSpecified,
                        uint160 sqrtPriceLimitX96,
                        bytes calldata data
                    ) external override noDelegateCall returns (int256 amount0, int256 amount1) {
                        require(amountSpecified != 0, 'AS');
                        Slot0 memory slot0Start = slot0;
                        require(slot0Start.unlocked, 'LOK');
                        require(
                            zeroForOne
                                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
                            'SPL'
                        );
                        slot0.unlocked = false;
                        SwapCache memory cache =
                            SwapCache({
                                liquidityStart: liquidity,
                                blockTimestamp: _blockTimestamp(),
                                feeProtocol: zeroForOne ? (slot0Start.feeProtocol % 16) : (slot0Start.feeProtocol >> 4),
                                secondsPerLiquidityCumulativeX128: 0,
                                tickCumulative: 0,
                                computedLatestObservation: false
                            });
                        bool exactInput = amountSpecified > 0;
                        SwapState memory state =
                            SwapState({
                                amountSpecifiedRemaining: amountSpecified,
                                amountCalculated: 0,
                                sqrtPriceX96: slot0Start.sqrtPriceX96,
                                tick: slot0Start.tick,
                                feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
                                protocolFee: 0,
                                liquidity: cache.liquidityStart
                            });
                        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
                        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
                            StepComputations memory step;
                            step.sqrtPriceStartX96 = state.sqrtPriceX96;
                            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                                state.tick,
                                tickSpacing,
                                zeroForOne
                            );
                            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
                            if (step.tickNext < TickMath.MIN_TICK) {
                                step.tickNext = TickMath.MIN_TICK;
                            } else if (step.tickNext > TickMath.MAX_TICK) {
                                step.tickNext = TickMath.MAX_TICK;
                            }
                            // get the price for the next tick
                            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
                            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
                            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                                state.sqrtPriceX96,
                                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                                    ? sqrtPriceLimitX96
                                    : step.sqrtPriceNextX96,
                                state.liquidity,
                                state.amountSpecifiedRemaining,
                                fee
                            );
                            if (exactInput) {
                                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
                            } else {
                                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
                            }
                            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
                            if (cache.feeProtocol > 0) {
                                uint256 delta = step.feeAmount / cache.feeProtocol;
                                step.feeAmount -= delta;
                                state.protocolFee += uint128(delta);
                            }
                            // update global fee tracker
                            if (state.liquidity > 0)
                                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
                            // shift tick if we reached the next price
                            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                                // if the tick is initialized, run the tick transition
                                if (step.initialized) {
                                    // check for the placeholder value, which we replace with the actual value the first time the swap
                                    // crosses an initialized tick
                                    if (!cache.computedLatestObservation) {
                                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                                            cache.blockTimestamp,
                                            0,
                                            slot0Start.tick,
                                            slot0Start.observationIndex,
                                            cache.liquidityStart,
                                            slot0Start.observationCardinality
                                        );
                                        cache.computedLatestObservation = true;
                                    }
                                    int128 liquidityNet =
                                        ticks.cross(
                                            step.tickNext,
                                            (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                                            (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                                            cache.secondsPerLiquidityCumulativeX128,
                                            cache.tickCumulative,
                                            cache.blockTimestamp
                                        );
                                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                                    // safe because liquidityNet cannot be type(int128).min
                                    if (zeroForOne) liquidityNet = -liquidityNet;
                                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                                }
                                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
                            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
                            }
                        }
                        // update tick and write an oracle entry if the tick change
                        if (state.tick != slot0Start.tick) {
                            (uint16 observationIndex, uint16 observationCardinality) =
                                observations.write(
                                    slot0Start.observationIndex,
                                    cache.blockTimestamp,
                                    slot0Start.tick,
                                    cache.liquidityStart,
                                    slot0Start.observationCardinality,
                                    slot0Start.observationCardinalityNext
                                );
                            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                                state.sqrtPriceX96,
                                state.tick,
                                observationIndex,
                                observationCardinality
                            );
                        } else {
                            // otherwise just update the price
                            slot0.sqrtPriceX96 = state.sqrtPriceX96;
                        }
                        // update liquidity if it changed
                        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
                        // update fee growth global and, if necessary, protocol fees
                        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
                        if (zeroForOne) {
                            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
                            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
                        } else {
                            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
                            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
                        }
                        (amount0, amount1) = zeroForOne == exactInput
                            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
                            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
                        // do the transfers and collect payment
                        if (zeroForOne) {
                            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
                            uint256 balance0Before = balance0();
                            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
                            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
                        } else {
                            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
                            uint256 balance1Before = balance1();
                            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
                            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
                        }
                        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick);
                        slot0.unlocked = true;
                    }
                    /// @inheritdoc IUniswapV3PoolActions
                    function flash(
                        address recipient,
                        uint256 amount0,
                        uint256 amount1,
                        bytes calldata data
                    ) external override lock noDelegateCall {
                        uint128 _liquidity = liquidity;
                        require(_liquidity > 0, 'L');
                        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
                        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
                        uint256 balance0Before = balance0();
                        uint256 balance1Before = balance1();
                        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
                        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
                        IUniswapV3FlashCallback(msg.sender).uniswapV3FlashCallback(fee0, fee1, data);
                        uint256 balance0After = balance0();
                        uint256 balance1After = balance1();
                        require(balance0Before.add(fee0) <= balance0After, 'F0');
                        require(balance1Before.add(fee1) <= balance1After, 'F1');
                        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
                        uint256 paid0 = balance0After - balance0Before;
                        uint256 paid1 = balance1After - balance1Before;
                        if (paid0 > 0) {
                            uint8 feeProtocol0 = slot0.feeProtocol % 16;
                            uint256 fees0 = feeProtocol0 == 0 ? 0 : paid0 / feeProtocol0;
                            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
                            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
                        }
                        if (paid1 > 0) {
                            uint8 feeProtocol1 = slot0.feeProtocol >> 4;
                            uint256 fees1 = feeProtocol1 == 0 ? 0 : paid1 / feeProtocol1;
                            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
                            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
                        }
                        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
                    }
                    /// @inheritdoc IUniswapV3PoolOwnerActions
                    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external override lock onlyFactoryOwner {
                        require(
                            (feeProtocol0 == 0 || (feeProtocol0 >= 4 && feeProtocol0 <= 10)) &&
                                (feeProtocol1 == 0 || (feeProtocol1 >= 4 && feeProtocol1 <= 10))
                        );
                        uint8 feeProtocolOld = slot0.feeProtocol;
                        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 4);
                        emit SetFeeProtocol(feeProtocolOld % 16, feeProtocolOld >> 4, feeProtocol0, feeProtocol1);
                    }
                    /// @inheritdoc IUniswapV3PoolOwnerActions
                    function collectProtocol(
                        address recipient,
                        uint128 amount0Requested,
                        uint128 amount1Requested
                    ) external override lock onlyFactoryOwner returns (uint128 amount0, uint128 amount1) {
                        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
                        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
                        if (amount0 > 0) {
                            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
                            protocolFees.token0 -= amount0;
                            TransferHelper.safeTransfer(token0, recipient, amount0);
                        }
                        if (amount1 > 0) {
                            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
                            protocolFees.token1 -= amount1;
                            TransferHelper.safeTransfer(token1, recipient, amount1);
                        }
                        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
                    }
                }
                // 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
                {
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity =0.7.6;
                /// @title Prevents delegatecall to a contract
                /// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
                abstract contract NoDelegateCall {
                    /// @dev The original address of this contract
                    address private immutable original;
                    constructor() {
                        // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
                        // In other words, this variable won't change when it's checked at runtime.
                        original = address(this);
                    }
                    /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
                    ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
                    function checkNotDelegateCall() private view {
                        require(address(this) == original);
                    }
                    /// @notice Prevents delegatecall into the modified method
                    modifier noDelegateCall() {
                        checkNotDelegateCall();
                        _;
                    }
                }
                // 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));
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Safe casting methods
                /// @notice Contains methods for safely casting between types
                library SafeCast {
                    /// @notice Cast a uint256 to a uint160, revert on overflow
                    /// @param y The uint256 to be downcasted
                    /// @return z The downcasted integer, now type uint160
                    function toUint160(uint256 y) internal pure returns (uint160 z) {
                        require((z = uint160(y)) == y);
                    }
                    /// @notice Cast a int256 to a int128, revert on overflow or underflow
                    /// @param y The int256 to be downcasted
                    /// @return z The downcasted integer, now type int128
                    function toInt128(int256 y) internal pure returns (int128 z) {
                        require((z = int128(y)) == y);
                    }
                    /// @notice Cast a uint256 to a int256, revert on overflow
                    /// @param y The uint256 to be casted
                    /// @return z The casted integer, now type int256
                    function toInt256(uint256 y) internal pure returns (int256 z) {
                        require(y < 2**255);
                        z = int256(y);
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                import './LowGasSafeMath.sol';
                import './SafeCast.sol';
                import './TickMath.sol';
                import './LiquidityMath.sol';
                /// @title Tick
                /// @notice Contains functions for managing tick processes and relevant calculations
                library Tick {
                    using LowGasSafeMath for int256;
                    using SafeCast for int256;
                    // info stored for each initialized individual tick
                    struct Info {
                        // the total position liquidity that references this tick
                        uint128 liquidityGross;
                        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
                        int128 liquidityNet;
                        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
                        // only has relative meaning, not absolute — the value depends on when the tick is initialized
                        uint256 feeGrowthOutside0X128;
                        uint256 feeGrowthOutside1X128;
                        // the cumulative tick value on the other side of the tick
                        int56 tickCumulativeOutside;
                        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
                        // only has relative meaning, not absolute — the value depends on when the tick is initialized
                        uint160 secondsPerLiquidityOutsideX128;
                        // the seconds spent on the other side of the tick (relative to the current tick)
                        // only has relative meaning, not absolute — the value depends on when the tick is initialized
                        uint32 secondsOutside;
                        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
                        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
                        bool initialized;
                    }
                    /// @notice Derives max liquidity per tick from given tick spacing
                    /// @dev Executed within the pool constructor
                    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
                    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
                    /// @return The max liquidity per tick
                    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
                        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
                        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
                        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
                        return type(uint128).max / numTicks;
                    }
                    /// @notice Retrieves fee growth data
                    /// @param self The mapping containing all tick information for initialized ticks
                    /// @param tickLower The lower tick boundary of the position
                    /// @param tickUpper The upper tick boundary of the position
                    /// @param tickCurrent The current tick
                    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
                    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
                    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
                    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
                    function getFeeGrowthInside(
                        mapping(int24 => Tick.Info) storage self,
                        int24 tickLower,
                        int24 tickUpper,
                        int24 tickCurrent,
                        uint256 feeGrowthGlobal0X128,
                        uint256 feeGrowthGlobal1X128
                    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
                        Info storage lower = self[tickLower];
                        Info storage upper = self[tickUpper];
                        // calculate fee growth below
                        uint256 feeGrowthBelow0X128;
                        uint256 feeGrowthBelow1X128;
                        if (tickCurrent >= tickLower) {
                            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
                            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
                        } else {
                            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
                            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
                        }
                        // calculate fee growth above
                        uint256 feeGrowthAbove0X128;
                        uint256 feeGrowthAbove1X128;
                        if (tickCurrent < tickUpper) {
                            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
                            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
                        } else {
                            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
                            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
                        }
                        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
                        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
                    }
                    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
                    /// @param self The mapping containing all tick information for initialized ticks
                    /// @param tick The tick that will be updated
                    /// @param tickCurrent The current tick
                    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
                    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
                    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
                    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
                    /// @param time The current block timestamp cast to a uint32
                    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
                    /// @param maxLiquidity The maximum liquidity allocation for a single tick
                    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
                    function update(
                        mapping(int24 => Tick.Info) storage self,
                        int24 tick,
                        int24 tickCurrent,
                        int128 liquidityDelta,
                        uint256 feeGrowthGlobal0X128,
                        uint256 feeGrowthGlobal1X128,
                        uint160 secondsPerLiquidityCumulativeX128,
                        int56 tickCumulative,
                        uint32 time,
                        bool upper,
                        uint128 maxLiquidity
                    ) internal returns (bool flipped) {
                        Tick.Info storage info = self[tick];
                        uint128 liquidityGrossBefore = info.liquidityGross;
                        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
                        require(liquidityGrossAfter <= maxLiquidity, 'LO');
                        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
                        if (liquidityGrossBefore == 0) {
                            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
                            if (tick <= tickCurrent) {
                                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                                info.tickCumulativeOutside = tickCumulative;
                                info.secondsOutside = time;
                            }
                            info.initialized = true;
                        }
                        info.liquidityGross = liquidityGrossAfter;
                        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
                        info.liquidityNet = upper
                            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
                            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
                    }
                    /// @notice Clears tick data
                    /// @param self The mapping containing all initialized tick information for initialized ticks
                    /// @param tick The tick that will be cleared
                    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
                        delete self[tick];
                    }
                    /// @notice Transitions to next tick as needed by price movement
                    /// @param self The mapping containing all tick information for initialized ticks
                    /// @param tick The destination tick of the transition
                    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
                    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
                    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
                    /// @param time The current block.timestamp
                    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
                    function cross(
                        mapping(int24 => Tick.Info) storage self,
                        int24 tick,
                        uint256 feeGrowthGlobal0X128,
                        uint256 feeGrowthGlobal1X128,
                        uint160 secondsPerLiquidityCumulativeX128,
                        int56 tickCumulative,
                        uint32 time
                    ) internal returns (int128 liquidityNet) {
                        Tick.Info storage info = self[tick];
                        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
                        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
                        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
                        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
                        info.secondsOutside = time - info.secondsOutside;
                        liquidityNet = info.liquidityNet;
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                import './BitMath.sol';
                /// @title Packed tick initialized state library
                /// @notice Stores a packed mapping of tick index to its initialized state
                /// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
                library TickBitmap {
                    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
                    /// @param tick The tick for which to compute the position
                    /// @return wordPos The key in the mapping containing the word in which the bit is stored
                    /// @return bitPos The bit position in the word where the flag is stored
                    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
                        wordPos = int16(tick >> 8);
                        bitPos = uint8(tick % 256);
                    }
                    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
                    /// @param self The mapping in which to flip the tick
                    /// @param tick The tick to flip
                    /// @param tickSpacing The spacing between usable ticks
                    function flipTick(
                        mapping(int16 => uint256) storage self,
                        int24 tick,
                        int24 tickSpacing
                    ) internal {
                        require(tick % tickSpacing == 0); // ensure that the tick is spaced
                        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
                        uint256 mask = 1 << bitPos;
                        self[wordPos] ^= mask;
                    }
                    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
                    /// to the left (less than or equal to) or right (greater than) of the given tick
                    /// @param self The mapping in which to compute the next initialized tick
                    /// @param tick The starting tick
                    /// @param tickSpacing The spacing between usable ticks
                    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
                    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
                    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
                    function nextInitializedTickWithinOneWord(
                        mapping(int16 => uint256) storage self,
                        int24 tick,
                        int24 tickSpacing,
                        bool lte
                    ) internal view returns (int24 next, bool initialized) {
                        int24 compressed = tick / tickSpacing;
                        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
                        if (lte) {
                            (int16 wordPos, uint8 bitPos) = position(compressed);
                            // all the 1s at or to the right of the current bitPos
                            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
                            uint256 masked = self[wordPos] & mask;
                            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
                            initialized = masked != 0;
                            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                            next = initialized
                                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                                : (compressed - int24(bitPos)) * tickSpacing;
                        } else {
                            // start from the word of the next tick, since the current tick state doesn't matter
                            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
                            // all the 1s at or to the left of the bitPos
                            uint256 mask = ~((1 << bitPos) - 1);
                            uint256 masked = self[wordPos] & mask;
                            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
                            initialized = masked != 0;
                            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                            next = initialized
                                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
                        }
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                import './FullMath.sol';
                import './FixedPoint128.sol';
                import './LiquidityMath.sol';
                /// @title Position
                /// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
                /// @dev Positions store additional state for tracking fees owed to the position
                library Position {
                    // info stored for each user's position
                    struct Info {
                        // the amount of liquidity owned by this position
                        uint128 liquidity;
                        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
                        uint256 feeGrowthInside0LastX128;
                        uint256 feeGrowthInside1LastX128;
                        // the fees owed to the position owner in token0/token1
                        uint128 tokensOwed0;
                        uint128 tokensOwed1;
                    }
                    /// @notice Returns the Info struct of a position, given an owner and position boundaries
                    /// @param self The mapping containing all user positions
                    /// @param owner The address of the position owner
                    /// @param tickLower The lower tick boundary of the position
                    /// @param tickUpper The upper tick boundary of the position
                    /// @return position The position info struct of the given owners' position
                    function get(
                        mapping(bytes32 => Info) storage self,
                        address owner,
                        int24 tickLower,
                        int24 tickUpper
                    ) internal view returns (Position.Info storage position) {
                        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
                    }
                    /// @notice Credits accumulated fees to a user's position
                    /// @param self The individual position to update
                    /// @param liquidityDelta The change in pool liquidity as a result of the position update
                    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
                    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
                    function update(
                        Info storage self,
                        int128 liquidityDelta,
                        uint256 feeGrowthInside0X128,
                        uint256 feeGrowthInside1X128
                    ) internal {
                        Info memory _self = self;
                        uint128 liquidityNext;
                        if (liquidityDelta == 0) {
                            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
                            liquidityNext = _self.liquidity;
                        } else {
                            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
                        }
                        // calculate accumulated fees
                        uint128 tokensOwed0 =
                            uint128(
                                FullMath.mulDiv(
                                    feeGrowthInside0X128 - _self.feeGrowthInside0LastX128,
                                    _self.liquidity,
                                    FixedPoint128.Q128
                                )
                            );
                        uint128 tokensOwed1 =
                            uint128(
                                FullMath.mulDiv(
                                    feeGrowthInside1X128 - _self.feeGrowthInside1LastX128,
                                    _self.liquidity,
                                    FixedPoint128.Q128
                                )
                            );
                        // update the position
                        if (liquidityDelta != 0) self.liquidity = liquidityNext;
                        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
                        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
                        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
                            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
                            self.tokensOwed0 += tokensOwed0;
                            self.tokensOwed1 += tokensOwed1;
                        }
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                /// @title Oracle
                /// @notice Provides price and liquidity data useful for a wide variety of system designs
                /// @dev Instances of stored oracle data, "observations", are collected in the oracle array
                /// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
                /// maximum length of the oracle array. New slots will be added when the array is fully populated.
                /// Observations are overwritten when the full length of the oracle array is populated.
                /// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
                library Oracle {
                    struct Observation {
                        // the block timestamp of the observation
                        uint32 blockTimestamp;
                        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
                        int56 tickCumulative;
                        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
                        uint160 secondsPerLiquidityCumulativeX128;
                        // whether or not the observation is initialized
                        bool initialized;
                    }
                    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
                    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
                    /// @param last The specified observation to be transformed
                    /// @param blockTimestamp The timestamp of the new observation
                    /// @param tick The active tick at the time of the new observation
                    /// @param liquidity The total in-range liquidity at the time of the new observation
                    /// @return Observation The newly populated observation
                    function transform(
                        Observation memory last,
                        uint32 blockTimestamp,
                        int24 tick,
                        uint128 liquidity
                    ) private pure returns (Observation memory) {
                        uint32 delta = blockTimestamp - last.blockTimestamp;
                        return
                            Observation({
                                blockTimestamp: blockTimestamp,
                                tickCumulative: last.tickCumulative + int56(tick) * delta,
                                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                                initialized: true
                            });
                    }
                    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
                    /// @param self The stored oracle array
                    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
                    /// @return cardinality The number of populated elements in the oracle array
                    /// @return cardinalityNext The new length of the oracle array, independent of population
                    function initialize(Observation[65535] storage self, uint32 time)
                        internal
                        returns (uint16 cardinality, uint16 cardinalityNext)
                    {
                        self[0] = Observation({
                            blockTimestamp: time,
                            tickCumulative: 0,
                            secondsPerLiquidityCumulativeX128: 0,
                            initialized: true
                        });
                        return (1, 1);
                    }
                    /// @notice Writes an oracle observation to the array
                    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
                    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
                    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
                    /// @param self The stored oracle array
                    /// @param index The index of the observation that was most recently written to the observations array
                    /// @param blockTimestamp The timestamp of the new observation
                    /// @param tick The active tick at the time of the new observation
                    /// @param liquidity The total in-range liquidity at the time of the new observation
                    /// @param cardinality The number of populated elements in the oracle array
                    /// @param cardinalityNext The new length of the oracle array, independent of population
                    /// @return indexUpdated The new index of the most recently written element in the oracle array
                    /// @return cardinalityUpdated The new cardinality of the oracle array
                    function write(
                        Observation[65535] storage self,
                        uint16 index,
                        uint32 blockTimestamp,
                        int24 tick,
                        uint128 liquidity,
                        uint16 cardinality,
                        uint16 cardinalityNext
                    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
                        Observation memory last = self[index];
                        // early return if we've already written an observation this block
                        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
                        // if the conditions are right, we can bump the cardinality
                        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
                            cardinalityUpdated = cardinalityNext;
                        } else {
                            cardinalityUpdated = cardinality;
                        }
                        indexUpdated = (index + 1) % cardinalityUpdated;
                        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
                    }
                    /// @notice Prepares the oracle array to store up to `next` observations
                    /// @param self The stored oracle array
                    /// @param current The current next cardinality of the oracle array
                    /// @param next The proposed next cardinality which will be populated in the oracle array
                    /// @return next The next cardinality which will be populated in the oracle array
                    function grow(
                        Observation[65535] storage self,
                        uint16 current,
                        uint16 next
                    ) internal returns (uint16) {
                        require(current > 0, 'I');
                        // no-op if the passed next value isn't greater than the current next value
                        if (next <= current) return current;
                        // store in each slot to prevent fresh SSTOREs in swaps
                        // this data will not be used because the initialized boolean is still false
                        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
                        return next;
                    }
                    /// @notice comparator for 32-bit timestamps
                    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
                    /// @param time A timestamp truncated to 32 bits
                    /// @param a A comparison timestamp from which to determine the relative position of `time`
                    /// @param b From which to determine the relative position of `time`
                    /// @return bool Whether `a` is chronologically <= `b`
                    function lte(
                        uint32 time,
                        uint32 a,
                        uint32 b
                    ) private pure returns (bool) {
                        // if there hasn't been overflow, no need to adjust
                        if (a <= time && b <= time) return a <= b;
                        uint256 aAdjusted = a > time ? a : a + 2**32;
                        uint256 bAdjusted = b > time ? b : b + 2**32;
                        return aAdjusted <= bAdjusted;
                    }
                    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
                    /// The result may be the same observation, or adjacent observations.
                    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
                    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
                    /// @param self The stored oracle array
                    /// @param time The current block.timestamp
                    /// @param target The timestamp at which the reserved observation should be for
                    /// @param index The index of the observation that was most recently written to the observations array
                    /// @param cardinality The number of populated elements in the oracle array
                    /// @return beforeOrAt The observation recorded before, or at, the target
                    /// @return atOrAfter The observation recorded at, or after, the target
                    function binarySearch(
                        Observation[65535] storage self,
                        uint32 time,
                        uint32 target,
                        uint16 index,
                        uint16 cardinality
                    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
                        uint256 l = (index + 1) % cardinality; // oldest observation
                        uint256 r = l + cardinality - 1; // newest observation
                        uint256 i;
                        while (true) {
                            i = (l + r) / 2;
                            beforeOrAt = self[i % cardinality];
                            // we've landed on an uninitialized tick, keep searching higher (more recently)
                            if (!beforeOrAt.initialized) {
                                l = i + 1;
                                continue;
                            }
                            atOrAfter = self[(i + 1) % cardinality];
                            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
                            // check if we've found the answer!
                            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
                            if (!targetAtOrAfter) r = i - 1;
                            else l = i + 1;
                        }
                    }
                    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
                    /// @dev Assumes there is at least 1 initialized observation.
                    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
                    /// @param self The stored oracle array
                    /// @param time The current block.timestamp
                    /// @param target The timestamp at which the reserved observation should be for
                    /// @param tick The active tick at the time of the returned or simulated observation
                    /// @param index The index of the observation that was most recently written to the observations array
                    /// @param liquidity The total pool liquidity at the time of the call
                    /// @param cardinality The number of populated elements in the oracle array
                    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
                    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
                    function getSurroundingObservations(
                        Observation[65535] storage self,
                        uint32 time,
                        uint32 target,
                        int24 tick,
                        uint16 index,
                        uint128 liquidity,
                        uint16 cardinality
                    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
                        // optimistically set before to the newest observation
                        beforeOrAt = self[index];
                        // if the target is chronologically at or after the newest observation, we can early return
                        if (lte(time, beforeOrAt.blockTimestamp, target)) {
                            if (beforeOrAt.blockTimestamp == target) {
                                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                                return (beforeOrAt, atOrAfter);
                            } else {
                                // otherwise, we need to transform
                                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
                            }
                        }
                        // now, set before to the oldest observation
                        beforeOrAt = self[(index + 1) % cardinality];
                        if (!beforeOrAt.initialized) beforeOrAt = self[0];
                        // ensure that the target is chronologically at or after the oldest observation
                        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
                        // if we've reached this point, we have to binary search
                        return binarySearch(self, time, target, index, cardinality);
                    }
                    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
                    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
                    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
                    /// at exactly the timestamp between the two observations.
                    /// @param self The stored oracle array
                    /// @param time The current block timestamp
                    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
                    /// @param tick The current tick
                    /// @param index The index of the observation that was most recently written to the observations array
                    /// @param liquidity The current in-range pool liquidity
                    /// @param cardinality The number of populated elements in the oracle array
                    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
                    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
                    function observeSingle(
                        Observation[65535] storage self,
                        uint32 time,
                        uint32 secondsAgo,
                        int24 tick,
                        uint16 index,
                        uint128 liquidity,
                        uint16 cardinality
                    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
                        if (secondsAgo == 0) {
                            Observation memory last = self[index];
                            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
                            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
                        }
                        uint32 target = time - secondsAgo;
                        (Observation memory beforeOrAt, Observation memory atOrAfter) =
                            getSurroundingObservations(self, time, target, tick, index, liquidity, cardinality);
                        if (target == beforeOrAt.blockTimestamp) {
                            // we're at the left boundary
                            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
                        } else if (target == atOrAfter.blockTimestamp) {
                            // we're at the right boundary
                            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
                        } else {
                            // we're in the middle
                            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
                            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
                            return (
                                beforeOrAt.tickCumulative +
                                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                                    targetDelta,
                                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                                    uint160(
                                        (uint256(
                                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                                        ) * targetDelta) / observationTimeDelta
                                    )
                            );
                        }
                    }
                    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
                    /// @dev Reverts if `secondsAgos` > oldest observation
                    /// @param self The stored oracle array
                    /// @param time The current block.timestamp
                    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
                    /// @param tick The current tick
                    /// @param index The index of the observation that was most recently written to the observations array
                    /// @param liquidity The current in-range pool liquidity
                    /// @param cardinality The number of populated elements in the oracle array
                    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
                    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
                    function observe(
                        Observation[65535] storage self,
                        uint32 time,
                        uint32[] memory secondsAgos,
                        int24 tick,
                        uint16 index,
                        uint128 liquidity,
                        uint16 cardinality
                    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
                        require(cardinality > 0, 'I');
                        tickCumulatives = new int56[](secondsAgos.length);
                        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
                        for (uint256 i = 0; i < secondsAgos.length; i++) {
                            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                                self,
                                time,
                                secondsAgos[i],
                                tick,
                                index,
                                liquidity,
                                cardinality
                            );
                        }
                    }
                }
                // 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 & 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)
                        }
                        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++;
                        }
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.4.0;
                /// @title FixedPoint128
                /// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
                library FixedPoint128 {
                    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.6.0;
                import '../interfaces/IERC20Minimal.sol';
                /// @title TransferHelper
                /// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
                library TransferHelper {
                    /// @notice Transfers tokens from msg.sender to a recipient
                    /// @dev Calls transfer on token contract, errors with TF if transfer fails
                    /// @param token The contract address of the token which will be transferred
                    /// @param to The recipient of the transfer
                    /// @param value The value of the transfer
                    function safeTransfer(
                        address token,
                        address to,
                        uint256 value
                    ) internal {
                        (bool success, bytes memory data) =
                            token.call(abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value));
                        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
                    }
                }
                // 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(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;
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Math library for liquidity
                library LiquidityMath {
                    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
                    /// @param x The liquidity before change
                    /// @param y The delta by which liquidity should be changed
                    /// @return z The liquidity delta
                    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
                        if (y < 0) {
                            require((z = x - uint128(-y)) < x, 'LS');
                        } else {
                            require((z = x + uint128(y)) >= x, 'LA');
                        }
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                import './LowGasSafeMath.sol';
                import './SafeCast.sol';
                import './FullMath.sol';
                import './UnsafeMath.sol';
                import './FixedPoint96.sol';
                /// @title Functions based on Q64.96 sqrt price and liquidity
                /// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
                library SqrtPriceMath {
                    using LowGasSafeMath for uint256;
                    using SafeCast for uint256;
                    /// @notice Gets the next sqrt price given a delta of token0
                    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
                    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
                    /// price less in order to not send too much output.
                    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
                    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
                    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
                    /// @param liquidity The amount of usable liquidity
                    /// @param amount How much of token0 to add or remove from virtual reserves
                    /// @param add Whether to add or remove the amount of token0
                    /// @return The price after adding or removing amount, depending on add
                    function getNextSqrtPriceFromAmount0RoundingUp(
                        uint160 sqrtPX96,
                        uint128 liquidity,
                        uint256 amount,
                        bool add
                    ) internal pure returns (uint160) {
                        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
                        if (amount == 0) return sqrtPX96;
                        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
                        if (add) {
                            uint256 product;
                            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                                uint256 denominator = numerator1 + product;
                                if (denominator >= numerator1)
                                    // always fits in 160 bits
                                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
                            }
                            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
                        } else {
                            uint256 product;
                            // if the product overflows, we know the denominator underflows
                            // in addition, we must check that the denominator does not underflow
                            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
                            uint256 denominator = numerator1 - product;
                            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
                        }
                    }
                    /// @notice Gets the next sqrt price given a delta of token1
                    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
                    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
                    /// price less in order to not send too much output.
                    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
                    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
                    /// @param liquidity The amount of usable liquidity
                    /// @param amount How much of token1 to add, or remove, from virtual reserves
                    /// @param add Whether to add, or remove, the amount of token1
                    /// @return The price after adding or removing `amount`
                    function getNextSqrtPriceFromAmount1RoundingDown(
                        uint160 sqrtPX96,
                        uint128 liquidity,
                        uint256 amount,
                        bool add
                    ) internal pure returns (uint160) {
                        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
                        // in both cases, avoid a mulDiv for most inputs
                        if (add) {
                            uint256 quotient =
                                (
                                    amount <= type(uint160).max
                                        ? (amount << FixedPoint96.RESOLUTION) / liquidity
                                        : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
                                );
                            return uint256(sqrtPX96).add(quotient).toUint160();
                        } else {
                            uint256 quotient =
                                (
                                    amount <= type(uint160).max
                                        ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                                        : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
                                );
                            require(sqrtPX96 > quotient);
                            // always fits 160 bits
                            return uint160(sqrtPX96 - quotient);
                        }
                    }
                    /// @notice Gets the next sqrt price given an input amount of token0 or token1
                    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
                    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
                    /// @param liquidity The amount of usable liquidity
                    /// @param amountIn How much of token0, or token1, is being swapped in
                    /// @param zeroForOne Whether the amount in is token0 or token1
                    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
                    function getNextSqrtPriceFromInput(
                        uint160 sqrtPX96,
                        uint128 liquidity,
                        uint256 amountIn,
                        bool zeroForOne
                    ) internal pure returns (uint160 sqrtQX96) {
                        require(sqrtPX96 > 0);
                        require(liquidity > 0);
                        // round to make sure that we don't pass the target price
                        return
                            zeroForOne
                                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
                    }
                    /// @notice Gets the next sqrt price given an output amount of token0 or token1
                    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
                    /// @param sqrtPX96 The starting price before accounting for the output amount
                    /// @param liquidity The amount of usable liquidity
                    /// @param amountOut How much of token0, or token1, is being swapped out
                    /// @param zeroForOne Whether the amount out is token0 or token1
                    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
                    function getNextSqrtPriceFromOutput(
                        uint160 sqrtPX96,
                        uint128 liquidity,
                        uint256 amountOut,
                        bool zeroForOne
                    ) internal pure returns (uint160 sqrtQX96) {
                        require(sqrtPX96 > 0);
                        require(liquidity > 0);
                        // round to make sure that we pass the target price
                        return
                            zeroForOne
                                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
                    }
                    /// @notice Gets the amount0 delta between two prices
                    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
                    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
                    /// @param sqrtRatioAX96 A sqrt price
                    /// @param sqrtRatioBX96 Another sqrt price
                    /// @param liquidity The amount of usable liquidity
                    /// @param roundUp Whether to round the amount up or down
                    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
                    function getAmount0Delta(
                        uint160 sqrtRatioAX96,
                        uint160 sqrtRatioBX96,
                        uint128 liquidity,
                        bool roundUp
                    ) internal pure returns (uint256 amount0) {
                        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
                        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
                        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
                        require(sqrtRatioAX96 > 0);
                        return
                            roundUp
                                ? UnsafeMath.divRoundingUp(
                                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                                    sqrtRatioAX96
                                )
                                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
                    }
                    /// @notice Gets the amount1 delta between two prices
                    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
                    /// @param sqrtRatioAX96 A sqrt price
                    /// @param sqrtRatioBX96 Another sqrt price
                    /// @param liquidity The amount of usable liquidity
                    /// @param roundUp Whether to round the amount up, or down
                    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
                    function getAmount1Delta(
                        uint160 sqrtRatioAX96,
                        uint160 sqrtRatioBX96,
                        uint128 liquidity,
                        bool roundUp
                    ) internal pure returns (uint256 amount1) {
                        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
                        return
                            roundUp
                                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
                    }
                    /// @notice Helper that gets signed token0 delta
                    /// @param sqrtRatioAX96 A sqrt price
                    /// @param sqrtRatioBX96 Another sqrt price
                    /// @param liquidity The change in liquidity for which to compute the amount0 delta
                    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
                    function getAmount0Delta(
                        uint160 sqrtRatioAX96,
                        uint160 sqrtRatioBX96,
                        int128 liquidity
                    ) internal pure returns (int256 amount0) {
                        return
                            liquidity < 0
                                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
                    }
                    /// @notice Helper that gets signed token1 delta
                    /// @param sqrtRatioAX96 A sqrt price
                    /// @param sqrtRatioBX96 Another sqrt price
                    /// @param liquidity The change in liquidity for which to compute the amount1 delta
                    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
                    function getAmount1Delta(
                        uint160 sqrtRatioAX96,
                        uint160 sqrtRatioBX96,
                        int128 liquidity
                    ) internal pure returns (int256 amount1) {
                        return
                            liquidity < 0
                                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
                    }
                }
                // SPDX-License-Identifier: BUSL-1.1
                pragma solidity >=0.5.0;
                import './FullMath.sol';
                import './SqrtPriceMath.sol';
                /// @title Computes the result of a swap within ticks
                /// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
                library SwapMath {
                    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
                    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
                    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
                    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
                    /// @param liquidity The usable liquidity
                    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
                    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
                    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
                    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
                    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
                    /// @return feeAmount The amount of input that will be taken as a fee
                    function computeSwapStep(
                        uint160 sqrtRatioCurrentX96,
                        uint160 sqrtRatioTargetX96,
                        uint128 liquidity,
                        int256 amountRemaining,
                        uint24 feePips
                    )
                        internal
                        pure
                        returns (
                            uint160 sqrtRatioNextX96,
                            uint256 amountIn,
                            uint256 amountOut,
                            uint256 feeAmount
                        )
                    {
                        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
                        bool exactIn = amountRemaining >= 0;
                        if (exactIn) {
                            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
                            amountIn = zeroForOne
                                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
                            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
                            else
                                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                                    sqrtRatioCurrentX96,
                                    liquidity,
                                    amountRemainingLessFee,
                                    zeroForOne
                                );
                        } else {
                            amountOut = zeroForOne
                                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
                            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
                            else
                                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                                    sqrtRatioCurrentX96,
                                    liquidity,
                                    uint256(-amountRemaining),
                                    zeroForOne
                                );
                        }
                        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
                        // get the input/output amounts
                        if (zeroForOne) {
                            amountIn = max && exactIn
                                ? amountIn
                                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
                            amountOut = max && !exactIn
                                ? amountOut
                                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
                        } else {
                            amountIn = max && exactIn
                                ? amountIn
                                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
                            amountOut = max && !exactIn
                                ? amountOut
                                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
                        }
                        // cap the output amount to not exceed the remaining output amount
                        if (!exactIn && amountOut > uint256(-amountRemaining)) {
                            amountOut = uint256(-amountRemaining);
                        }
                        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
                            // we didn't reach the target, so take the remainder of the maximum input as fee
                            feeAmount = uint256(amountRemaining) - amountIn;
                        } else {
                            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
                        }
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title An interface for a contract that is capable of deploying Uniswap V3 Pools
                /// @notice A contract that constructs a pool must implement this to pass arguments to the pool
                /// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
                /// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
                interface IUniswapV3PoolDeployer {
                    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
                    /// @dev Called by the pool constructor to fetch the parameters of the pool
                    /// Returns factory The factory address
                    /// Returns token0 The first token of the pool by address sort order
                    /// Returns token1 The second token of the pool by address sort order
                    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
                    /// Returns tickSpacing The minimum number of ticks between initialized ticks
                    function parameters()
                        external
                        view
                        returns (
                            address factory,
                            address token0,
                            address token1,
                            uint24 fee,
                            int24 tickSpacing
                        );
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title The interface for the Uniswap V3 Factory
                /// @notice The Uniswap V3 Factory facilitates creation of Uniswap V3 pools and control over the protocol fees
                interface IUniswapV3Factory {
                    /// @notice Emitted when the owner of the factory is changed
                    /// @param oldOwner The owner before the owner was changed
                    /// @param newOwner The owner after the owner was changed
                    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
                    /// @notice Emitted when a pool is created
                    /// @param token0 The first token of the pool by address sort order
                    /// @param token1 The second token of the pool by address sort order
                    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
                    /// @param tickSpacing The minimum number of ticks between initialized ticks
                    /// @param pool The address of the created pool
                    event PoolCreated(
                        address indexed token0,
                        address indexed token1,
                        uint24 indexed fee,
                        int24 tickSpacing,
                        address pool
                    );
                    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
                    /// @param fee The enabled fee, denominated in hundredths of a bip
                    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
                    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
                    /// @notice Returns the current owner of the factory
                    /// @dev Can be changed by the current owner via setOwner
                    /// @return The address of the factory owner
                    function owner() external view returns (address);
                    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
                    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
                    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
                    /// @return The tick spacing
                    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
                    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
                    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
                    /// @param tokenA The contract address of either token0 or token1
                    /// @param tokenB The contract address of the other token
                    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
                    /// @return pool The pool address
                    function getPool(
                        address tokenA,
                        address tokenB,
                        uint24 fee
                    ) external view returns (address pool);
                    /// @notice Creates a pool for the given two tokens and fee
                    /// @param tokenA One of the two tokens in the desired pool
                    /// @param tokenB The other of the two tokens in the desired pool
                    /// @param fee The desired fee for the pool
                    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
                    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
                    /// are invalid.
                    /// @return pool The address of the newly created pool
                    function createPool(
                        address tokenA,
                        address tokenB,
                        uint24 fee
                    ) external returns (address pool);
                    /// @notice Updates the owner of the factory
                    /// @dev Must be called by the current owner
                    /// @param _owner The new owner of the factory
                    function setOwner(address _owner) external;
                    /// @notice Enables a fee amount with the given tickSpacing
                    /// @dev Fee amounts may never be removed once enabled
                    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
                    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
                    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Minimal ERC20 interface for Uniswap
                /// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
                interface IERC20Minimal {
                    /// @notice Returns the balance of a token
                    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
                    /// @return The number of tokens held by the account
                    function balanceOf(address account) external view returns (uint256);
                    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
                    /// @param recipient The account that will receive the amount transferred
                    /// @param amount The number of tokens to send from the sender to the recipient
                    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
                    function transfer(address recipient, uint256 amount) external returns (bool);
                    /// @notice Returns the current allowance given to a spender by an owner
                    /// @param owner The account of the token owner
                    /// @param spender The account of the token spender
                    /// @return The current allowance granted by `owner` to `spender`
                    function allowance(address owner, address spender) external view returns (uint256);
                    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
                    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
                    /// @param amount The amount of tokens allowed to be used by `spender`
                    /// @return Returns true for a successful approval, false for unsuccessful
                    function approve(address spender, uint256 amount) external returns (bool);
                    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
                    /// @param sender The account from which the transfer will be initiated
                    /// @param recipient The recipient of the transfer
                    /// @param amount The amount of the transfer
                    /// @return Returns true for a successful transfer, false for unsuccessful
                    function transferFrom(
                        address sender,
                        address recipient,
                        uint256 amount
                    ) external returns (bool);
                    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
                    /// @param from The account from which the tokens were sent, i.e. the balance decreased
                    /// @param to The account to which the tokens were sent, i.e. the balance increased
                    /// @param value The amount of tokens that were transferred
                    event Transfer(address indexed from, address indexed to, uint256 value);
                    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
                    /// @param owner The account that approved spending of its tokens
                    /// @param spender The account for which the spending allowance was modified
                    /// @param value The new allowance from the owner to the spender
                    event Approval(address indexed owner, address indexed spender, uint256 value);
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Callback for IUniswapV3PoolActions#mint
                /// @notice Any contract that calls IUniswapV3PoolActions#mint must implement this interface
                interface IUniswapV3MintCallback {
                    /// @notice Called to `msg.sender` after minting liquidity to a position from IUniswapV3Pool#mint.
                    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
                    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
                    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
                    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
                    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#mint call
                    function uniswapV3MintCallback(
                        uint256 amount0Owed,
                        uint256 amount1Owed,
                        bytes calldata data
                    ) external;
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Callback for IUniswapV3PoolActions#swap
                /// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
                interface IUniswapV3SwapCallback {
                    /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
                    /// @dev In the implementation you must pay the pool tokens owed for the swap.
                    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
                    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
                    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
                    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
                    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
                    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
                    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
                    function uniswapV3SwapCallback(
                        int256 amount0Delta,
                        int256 amount1Delta,
                        bytes calldata data
                    ) external;
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Callback for IUniswapV3PoolActions#flash
                /// @notice Any contract that calls IUniswapV3PoolActions#flash must implement this interface
                interface IUniswapV3FlashCallback {
                    /// @notice Called to `msg.sender` after transferring to the recipient from IUniswapV3Pool#flash.
                    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
                    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
                    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
                    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
                    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#flash call
                    function uniswapV3FlashCallback(
                        uint256 fee0,
                        uint256 fee1,
                        bytes calldata data
                    ) external;
                }
                // 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);
                }
                // 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
                        );
                }
                // 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
                        );
                }
                // 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;
                }
                // 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);
                }
                // 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);
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title BitMath
                /// @dev This library provides functionality for computing bit properties of an unsigned integer
                library BitMath {
                    /// @notice Returns the index of the most significant bit of the number,
                    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
                    /// @dev The function satisfies the property:
                    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
                    /// @param x the value for which to compute the most significant bit, must be greater than 0
                    /// @return r the index of the most significant bit
                    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
                        require(x > 0);
                        if (x >= 0x100000000000000000000000000000000) {
                            x >>= 128;
                            r += 128;
                        }
                        if (x >= 0x10000000000000000) {
                            x >>= 64;
                            r += 64;
                        }
                        if (x >= 0x100000000) {
                            x >>= 32;
                            r += 32;
                        }
                        if (x >= 0x10000) {
                            x >>= 16;
                            r += 16;
                        }
                        if (x >= 0x100) {
                            x >>= 8;
                            r += 8;
                        }
                        if (x >= 0x10) {
                            x >>= 4;
                            r += 4;
                        }
                        if (x >= 0x4) {
                            x >>= 2;
                            r += 2;
                        }
                        if (x >= 0x2) r += 1;
                    }
                    /// @notice Returns the index of the least significant bit of the number,
                    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
                    /// @dev The function satisfies the property:
                    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
                    /// @param x the value for which to compute the least significant bit, must be greater than 0
                    /// @return r the index of the least significant bit
                    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
                        require(x > 0);
                        r = 255;
                        if (x & type(uint128).max > 0) {
                            r -= 128;
                        } else {
                            x >>= 128;
                        }
                        if (x & type(uint64).max > 0) {
                            r -= 64;
                        } else {
                            x >>= 64;
                        }
                        if (x & type(uint32).max > 0) {
                            r -= 32;
                        } else {
                            x >>= 32;
                        }
                        if (x & type(uint16).max > 0) {
                            r -= 16;
                        } else {
                            x >>= 16;
                        }
                        if (x & type(uint8).max > 0) {
                            r -= 8;
                        } else {
                            x >>= 8;
                        }
                        if (x & 0xf > 0) {
                            r -= 4;
                        } else {
                            x >>= 4;
                        }
                        if (x & 0x3 > 0) {
                            r -= 2;
                        } else {
                            x >>= 2;
                        }
                        if (x & 0x1 > 0) r -= 1;
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.5.0;
                /// @title Math functions that do not check inputs or outputs
                /// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
                library UnsafeMath {
                    /// @notice Returns ceil(x / y)
                    /// @dev division by 0 has unspecified behavior, and must be checked externally
                    /// @param x The dividend
                    /// @param y The divisor
                    /// @return z The quotient, ceil(x / y)
                    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
                        assembly {
                            z := add(div(x, y), gt(mod(x, y), 0))
                        }
                    }
                }
                // SPDX-License-Identifier: GPL-2.0-or-later
                pragma solidity >=0.4.0;
                /// @title FixedPoint96
                /// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
                /// @dev Used in SqrtPriceMath.sol
                library FixedPoint96 {
                    uint8 internal constant RESOLUTION = 96;
                    uint256 internal constant Q96 = 0x1000000000000000000000000;
                }
                

                File 2 of 4: WETH9
                // Copyright (C) 2015, 2016, 2017 Dapphub
                
                // This program is free software: you can redistribute it and/or modify
                // it under the terms of the GNU General Public License as published by
                // the Free Software Foundation, either version 3 of the License, or
                // (at your option) any later version.
                
                // This program is distributed in the hope that it will be useful,
                // but WITHOUT ANY WARRANTY; without even the implied warranty of
                // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
                // GNU General Public License for more details.
                
                // You should have received a copy of the GNU General Public License
                // along with this program.  If not, see <http://www.gnu.org/licenses/>.
                
                pragma solidity ^0.4.18;
                
                contract WETH9 {
                    string public name     = "Wrapped Ether";
                    string public symbol   = "WETH";
                    uint8  public decimals = 18;
                
                    event  Approval(address indexed src, address indexed guy, uint wad);
                    event  Transfer(address indexed src, address indexed dst, uint wad);
                    event  Deposit(address indexed dst, uint wad);
                    event  Withdrawal(address indexed src, uint wad);
                
                    mapping (address => uint)                       public  balanceOf;
                    mapping (address => mapping (address => uint))  public  allowance;
                
                    function() public payable {
                        deposit();
                    }
                    function deposit() public payable {
                        balanceOf[msg.sender] += msg.value;
                        Deposit(msg.sender, msg.value);
                    }
                    function withdraw(uint wad) public {
                        require(balanceOf[msg.sender] >= wad);
                        balanceOf[msg.sender] -= wad;
                        msg.sender.transfer(wad);
                        Withdrawal(msg.sender, wad);
                    }
                
                    function totalSupply() public view returns (uint) {
                        return this.balance;
                    }
                
                    function approve(address guy, uint wad) public returns (bool) {
                        allowance[msg.sender][guy] = wad;
                        Approval(msg.sender, guy, wad);
                        return true;
                    }
                
                    function transfer(address dst, uint wad) public returns (bool) {
                        return transferFrom(msg.sender, dst, wad);
                    }
                
                    function transferFrom(address src, address dst, uint wad)
                        public
                        returns (bool)
                    {
                        require(balanceOf[src] >= wad);
                
                        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
                            require(allowance[src][msg.sender] >= wad);
                            allowance[src][msg.sender] -= wad;
                        }
                
                        balanceOf[src] -= wad;
                        balanceOf[dst] += wad;
                
                        Transfer(src, dst, wad);
                
                        return true;
                    }
                }
                
                
                /*
                                    GNU GENERAL PUBLIC LICENSE
                                       Version 3, 29 June 2007
                
                 Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
                 Everyone is permitted to copy and distribute verbatim copies
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                  11. Patents.
                
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                consistent with the requirements of this License, to extend the patent
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                actual knowledge that, but for the patent license, your conveying the
                covered work in a country, or your recipient's use of the covered work
                in a country, would infringe one or more identifiable patents in that
                country that you have reason to believe are valid.
                
                  If, pursuant to or in connection with a single transaction or
                arrangement, you convey, or propagate by procuring conveyance of, a
                covered work, and grant a patent license to some of the parties
                receiving the covered work authorizing them to use, propagate, modify
                or convey a specific copy of the covered work, then the patent license
                you grant is automatically extended to all recipients of the covered
                work and works based on it.
                
                  A patent license is "discriminatory" if it does not include within
                the scope of its coverage, prohibits the exercise of, or is
                conditioned on the non-exercise of one or more of the rights that are
                specifically granted under this License.  You may not convey a covered
                work if you are a party to an arrangement with a third party that is
                in the business of distributing software, under which you make payment
                to the third party based on the extent of your activity of conveying
                the work, and under which the third party grants, to any of the
                parties who would receive the covered work from you, a discriminatory
                patent license (a) in connection with copies of the covered work
                conveyed by you (or copies made from those copies), or (b) primarily
                for and in connection with specific products or compilations that
                contain the covered work, unless you entered into that arrangement,
                or that patent license was granted, prior to 28 March 2007.
                
                  Nothing in this License shall be construed as excluding or limiting
                any implied license or other defenses to infringement that may
                otherwise be available to you under applicable patent law.
                
                  12. No Surrender of Others' Freedom.
                
                  If conditions are imposed on you (whether by court order, agreement or
                otherwise) that contradict the conditions of this License, they do not
                excuse you from the conditions of this License.  If you cannot convey a
                covered work so as to satisfy simultaneously your obligations under this
                License and any other pertinent obligations, then as a consequence you may
                not convey it at all.  For example, if you agree to terms that obligate you
                to collect a royalty for further conveying from those to whom you convey
                the Program, the only way you could satisfy both those terms and this
                License would be to refrain entirely from conveying the Program.
                
                  13. Use with the GNU Affero General Public License.
                
                  Notwithstanding any other provision of this License, you have
                permission to link or combine any covered work with a work licensed
                under version 3 of the GNU Affero General Public License into a single
                combined work, and to convey the resulting work.  The terms of this
                License will continue to apply to the part which is the covered work,
                but the special requirements of the GNU Affero General Public License,
                section 13, concerning interaction through a network will apply to the
                combination as such.
                
                  14. Revised Versions of this License.
                
                  The Free Software Foundation may publish revised and/or new versions of
                the GNU General Public License from time to time.  Such new versions will
                be similar in spirit to the present version, but may differ in detail to
                address new problems or concerns.
                
                  Each version is given a distinguishing version number.  If the
                Program specifies that a certain numbered version of the GNU General
                Public License "or any later version" applies to it, you have the
                option of following the terms and conditions either of that numbered
                version or of any later version published by the Free Software
                Foundation.  If the Program does not specify a version number of the
                GNU General Public License, you may choose any version ever published
                by the Free Software Foundation.
                
                  If the Program specifies that a proxy can decide which future
                versions of the GNU General Public License can be used, that proxy's
                public statement of acceptance of a version permanently authorizes you
                to choose that version for the Program.
                
                  Later license versions may give you additional or different
                permissions.  However, no additional obligations are imposed on any
                author or copyright holder as a result of your choosing to follow a
                later version.
                
                  15. Disclaimer of Warranty.
                
                  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
                APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
                HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
                OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
                THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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                IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
                ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
                
                  16. Limitation of Liability.
                
                  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
                WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
                THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
                GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
                USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
                DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
                PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
                EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
                SUCH DAMAGES.
                
                  17. Interpretation of Sections 15 and 16.
                
                  If the disclaimer of warranty and limitation of liability provided
                above cannot be given local legal effect according to their terms,
                reviewing courts shall apply local law that most closely approximates
                an absolute waiver of all civil liability in connection with the
                Program, unless a warranty or assumption of liability accompanies a
                copy of the Program in return for a fee.
                
                                     END OF TERMS AND CONDITIONS
                
                            How to Apply These Terms to Your New Programs
                
                  If you develop a new program, and you want it to be of the greatest
                possible use to the public, the best way to achieve this is to make it
                free software which everyone can redistribute and change under these terms.
                
                  To do so, attach the following notices to the program.  It is safest
                to attach them to the start of each source file to most effectively
                state the exclusion of warranty; and each file should have at least
                the "copyright" line and a pointer to where the full notice is found.
                
                    <one line to give the program's name and a brief idea of what it does.>
                    Copyright (C) <year>  <name of author>
                
                    This program is free software: you can redistribute it and/or modify
                    it under the terms of the GNU General Public License as published by
                    the Free Software Foundation, either version 3 of the License, or
                    (at your option) any later version.
                
                    This program is distributed in the hope that it will be useful,
                    but WITHOUT ANY WARRANTY; without even the implied warranty of
                    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
                    GNU General Public License for more details.
                
                    You should have received a copy of the GNU General Public License
                    along with this program.  If not, see <http://www.gnu.org/licenses/>.
                
                Also add information on how to contact you by electronic and paper mail.
                
                  If the program does terminal interaction, make it output a short
                notice like this when it starts in an interactive mode:
                
                    <program>  Copyright (C) <year>  <name of author>
                    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
                    This is free software, and you are welcome to redistribute it
                    under certain conditions; type `show c' for details.
                
                The hypothetical commands `show w' and `show c' should show the appropriate
                parts of the General Public License.  Of course, your program's commands
                might be different; for a GUI interface, you would use an "about box".
                
                  You should also get your employer (if you work as a programmer) or school,
                if any, to sign a "copyright disclaimer" for the program, if necessary.
                For more information on this, and how to apply and follow the GNU GPL, see
                <http://www.gnu.org/licenses/>.
                
                  The GNU General Public License does not permit incorporating your program
                into proprietary programs.  If your program is a subroutine library, you
                may consider it more useful to permit linking proprietary applications with
                the library.  If this is what you want to do, use the GNU Lesser General
                Public License instead of this License.  But first, please read
                <http://www.gnu.org/philosophy/why-not-lgpl.html>.
                
                */

                File 3 of 4: FiatTokenProxy
                pragma solidity ^0.4.24;
                
                // File: zos-lib/contracts/upgradeability/Proxy.sol
                
                /**
                 * @title Proxy
                 * @dev Implements delegation of calls to other contracts, with proper
                 * forwarding of return values and bubbling of failures.
                 * It defines a fallback function that delegates all calls to the address
                 * returned by the abstract _implementation() internal function.
                 */
                contract Proxy {
                  /**
                   * @dev Fallback function.
                   * Implemented entirely in `_fallback`.
                   */
                  function () payable external {
                    _fallback();
                  }
                
                  /**
                   * @return The Address of the implementation.
                   */
                  function _implementation() internal view returns (address);
                
                  /**
                   * @dev Delegates execution to an implementation contract.
                   * This is a low level function that doesn't return to its internal call site.
                   * It will return to the external caller whatever the implementation returns.
                   * @param implementation Address to delegate.
                   */
                  function _delegate(address implementation) internal {
                    assembly {
                      // Copy msg.data. We take full control of memory in this inline assembly
                      // block because it will not return to Solidity code. We overwrite the
                      // Solidity scratch pad at memory position 0.
                      calldatacopy(0, 0, calldatasize)
                
                      // Call the implementation.
                      // out and outsize are 0 because we don't know the size yet.
                      let result := delegatecall(gas, implementation, 0, calldatasize, 0, 0)
                
                      // Copy the returned data.
                      returndatacopy(0, 0, returndatasize)
                
                      switch result
                      // delegatecall returns 0 on error.
                      case 0 { revert(0, returndatasize) }
                      default { return(0, returndatasize) }
                    }
                  }
                
                  /**
                   * @dev Function that is run as the first thing in the fallback function.
                   * Can be redefined in derived contracts to add functionality.
                   * Redefinitions must call super._willFallback().
                   */
                  function _willFallback() internal {
                  }
                
                  /**
                   * @dev fallback implementation.
                   * Extracted to enable manual triggering.
                   */
                  function _fallback() internal {
                    _willFallback();
                    _delegate(_implementation());
                  }
                }
                
                // File: openzeppelin-solidity/contracts/AddressUtils.sol
                
                /**
                 * Utility library of inline functions on addresses
                 */
                library AddressUtils {
                
                  /**
                   * Returns whether the target address is a contract
                   * @dev This function will return false if invoked during the constructor of a contract,
                   * as the code is not actually created until after the constructor finishes.
                   * @param addr address to check
                   * @return whether the target address is a contract
                   */
                  function isContract(address addr) internal view returns (bool) {
                    uint256 size;
                    // XXX Currently there is no better way to check if there is a contract in an address
                    // than to check the size of the code at that address.
                    // See https://ethereum.stackexchange.com/a/14016/36603
                    // for more details about how this works.
                    // TODO Check this again before the Serenity release, because all addresses will be
                    // contracts then.
                    // solium-disable-next-line security/no-inline-assembly
                    assembly { size := extcodesize(addr) }
                    return size > 0;
                  }
                
                }
                
                // File: zos-lib/contracts/upgradeability/UpgradeabilityProxy.sol
                
                /**
                 * @title UpgradeabilityProxy
                 * @dev This contract implements a proxy that allows to change the
                 * implementation address to which it will delegate.
                 * Such a change is called an implementation upgrade.
                 */
                contract UpgradeabilityProxy is Proxy {
                  /**
                   * @dev Emitted when the implementation is upgraded.
                   * @param implementation Address of the new implementation.
                   */
                  event Upgraded(address implementation);
                
                  /**
                   * @dev Storage slot with the address of the current implementation.
                   * This is the keccak-256 hash of "org.zeppelinos.proxy.implementation", and is
                   * validated in the constructor.
                   */
                  bytes32 private constant IMPLEMENTATION_SLOT = 0x7050c9e0f4ca769c69bd3a8ef740bc37934f8e2c036e5a723fd8ee048ed3f8c3;
                
                  /**
                   * @dev Contract constructor.
                   * @param _implementation Address of the initial implementation.
                   */
                  constructor(address _implementation) public {
                    assert(IMPLEMENTATION_SLOT == keccak256("org.zeppelinos.proxy.implementation"));
                
                    _setImplementation(_implementation);
                  }
                
                  /**
                   * @dev Returns the current implementation.
                   * @return Address of the current implementation
                   */
                  function _implementation() internal view returns (address impl) {
                    bytes32 slot = IMPLEMENTATION_SLOT;
                    assembly {
                      impl := sload(slot)
                    }
                  }
                
                  /**
                   * @dev Upgrades the proxy to a new implementation.
                   * @param newImplementation Address of the new implementation.
                   */
                  function _upgradeTo(address newImplementation) internal {
                    _setImplementation(newImplementation);
                    emit Upgraded(newImplementation);
                  }
                
                  /**
                   * @dev Sets the implementation address of the proxy.
                   * @param newImplementation Address of the new implementation.
                   */
                  function _setImplementation(address newImplementation) private {
                    require(AddressUtils.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");
                
                    bytes32 slot = IMPLEMENTATION_SLOT;
                
                    assembly {
                      sstore(slot, newImplementation)
                    }
                  }
                }
                
                // File: zos-lib/contracts/upgradeability/AdminUpgradeabilityProxy.sol
                
                /**
                 * @title AdminUpgradeabilityProxy
                 * @dev This contract combines an upgradeability proxy with an authorization
                 * mechanism for administrative tasks.
                 * All external functions in this contract must be guarded by the
                 * `ifAdmin` modifier. See ethereum/solidity#3864 for a Solidity
                 * feature proposal that would enable this to be done automatically.
                 */
                contract AdminUpgradeabilityProxy is UpgradeabilityProxy {
                  /**
                   * @dev Emitted when the administration has been transferred.
                   * @param previousAdmin Address of the previous admin.
                   * @param newAdmin Address of the new admin.
                   */
                  event AdminChanged(address previousAdmin, address newAdmin);
                
                  /**
                   * @dev Storage slot with the admin of the contract.
                   * This is the keccak-256 hash of "org.zeppelinos.proxy.admin", and is
                   * validated in the constructor.
                   */
                  bytes32 private constant ADMIN_SLOT = 0x10d6a54a4754c8869d6886b5f5d7fbfa5b4522237ea5c60d11bc4e7a1ff9390b;
                
                  /**
                   * @dev Modifier to check whether the `msg.sender` is the admin.
                   * If it is, it will run the function. Otherwise, it will delegate the call
                   * to the implementation.
                   */
                  modifier ifAdmin() {
                    if (msg.sender == _admin()) {
                      _;
                    } else {
                      _fallback();
                    }
                  }
                
                  /**
                   * Contract constructor.
                   * It sets the `msg.sender` as the proxy administrator.
                   * @param _implementation address of the initial implementation.
                   */
                  constructor(address _implementation) UpgradeabilityProxy(_implementation) public {
                    assert(ADMIN_SLOT == keccak256("org.zeppelinos.proxy.admin"));
                
                    _setAdmin(msg.sender);
                  }
                
                  /**
                   * @return The address of the proxy admin.
                   */
                  function admin() external view ifAdmin returns (address) {
                    return _admin();
                  }
                
                  /**
                   * @return The address of the implementation.
                   */
                  function implementation() external view ifAdmin returns (address) {
                    return _implementation();
                  }
                
                  /**
                   * @dev Changes the admin of the proxy.
                   * Only the current admin can call this function.
                   * @param newAdmin Address to transfer proxy administration to.
                   */
                  function changeAdmin(address newAdmin) external ifAdmin {
                    require(newAdmin != address(0), "Cannot change the admin of a proxy to the zero address");
                    emit AdminChanged(_admin(), newAdmin);
                    _setAdmin(newAdmin);
                  }
                
                  /**
                   * @dev Upgrade the backing implementation of the proxy.
                   * Only the admin can call this function.
                   * @param newImplementation Address of the new implementation.
                   */
                  function upgradeTo(address newImplementation) external ifAdmin {
                    _upgradeTo(newImplementation);
                  }
                
                  /**
                   * @dev Upgrade the backing implementation of the proxy and call a function
                   * on the new implementation.
                   * This is useful to initialize the proxied contract.
                   * @param newImplementation Address of the new implementation.
                   * @param data Data to send as msg.data in the low level call.
                   * It should include the signature and the parameters of the function to be
                   * called, as described in
                   * https://solidity.readthedocs.io/en/develop/abi-spec.html#function-selector-and-argument-encoding.
                   */
                  function upgradeToAndCall(address newImplementation, bytes data) payable external ifAdmin {
                    _upgradeTo(newImplementation);
                    require(address(this).call.value(msg.value)(data));
                  }
                
                  /**
                   * @return The admin slot.
                   */
                  function _admin() internal view returns (address adm) {
                    bytes32 slot = ADMIN_SLOT;
                    assembly {
                      adm := sload(slot)
                    }
                  }
                
                  /**
                   * @dev Sets the address of the proxy admin.
                   * @param newAdmin Address of the new proxy admin.
                   */
                  function _setAdmin(address newAdmin) internal {
                    bytes32 slot = ADMIN_SLOT;
                
                    assembly {
                      sstore(slot, newAdmin)
                    }
                  }
                
                  /**
                   * @dev Only fall back when the sender is not the admin.
                   */
                  function _willFallback() internal {
                    require(msg.sender != _admin(), "Cannot call fallback function from the proxy admin");
                    super._willFallback();
                  }
                }
                
                // File: contracts/FiatTokenProxy.sol
                
                /**
                * Copyright CENTRE SECZ 2018
                *
                * Permission is hereby granted, free of charge, to any person obtaining a copy 
                * of this software and associated documentation files (the "Software"), to deal 
                * in the Software without restriction, including without limitation the rights 
                * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 
                * copies of the Software, and to permit persons to whom the Software is furnished to 
                * do so, subject to the following conditions:
                *
                * The above copyright notice and this permission notice shall be included in all 
                * copies or substantial portions of the Software.
                *
                * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
                * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 
                * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 
                * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
                * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
                * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
                */
                
                pragma solidity ^0.4.24;
                
                
                /**
                 * @title FiatTokenProxy
                 * @dev This contract proxies FiatToken calls and enables FiatToken upgrades
                */ 
                contract FiatTokenProxy is AdminUpgradeabilityProxy {
                    constructor(address _implementation) public AdminUpgradeabilityProxy(_implementation) {
                    }
                }

                File 4 of 4: FiatTokenV2_2
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { EIP712Domain } from "./EIP712Domain.sol"; // solhint-disable-line no-unused-import
                import { Blacklistable } from "../v1/Blacklistable.sol"; // solhint-disable-line no-unused-import
                import { FiatTokenV1 } from "../v1/FiatTokenV1.sol"; // solhint-disable-line no-unused-import
                import { FiatTokenV2 } from "./FiatTokenV2.sol"; // solhint-disable-line no-unused-import
                import { FiatTokenV2_1 } from "./FiatTokenV2_1.sol";
                import { EIP712 } from "../util/EIP712.sol";
                // solhint-disable func-name-mixedcase
                /**
                 * @title FiatToken V2.2
                 * @notice ERC20 Token backed by fiat reserves, version 2.2
                 */
                contract FiatTokenV2_2 is FiatTokenV2_1 {
                    /**
                     * @notice Initialize v2.2
                     * @param accountsToBlacklist   A list of accounts to migrate from the old blacklist
                     * @param newSymbol             New token symbol
                     * data structure to the new blacklist data structure.
                     */
                    function initializeV2_2(
                        address[] calldata accountsToBlacklist,
                        string calldata newSymbol
                    ) external {
                        // solhint-disable-next-line reason-string
                        require(_initializedVersion == 2);
                        // Update fiat token symbol
                        symbol = newSymbol;
                        // Add previously blacklisted accounts to the new blacklist data structure
                        // and remove them from the old blacklist data structure.
                        for (uint256 i = 0; i < accountsToBlacklist.length; i++) {
                            require(
                                _deprecatedBlacklisted[accountsToBlacklist[i]],
                                "FiatTokenV2_2: Blacklisting previously unblacklisted account!"
                            );
                            _blacklist(accountsToBlacklist[i]);
                            delete _deprecatedBlacklisted[accountsToBlacklist[i]];
                        }
                        _blacklist(address(this));
                        delete _deprecatedBlacklisted[address(this)];
                        _initializedVersion = 3;
                    }
                    /**
                     * @dev Internal function to get the current chain id.
                     * @return The current chain id.
                     */
                    function _chainId() internal virtual view returns (uint256) {
                        uint256 chainId;
                        assembly {
                            chainId := chainid()
                        }
                        return chainId;
                    }
                    /**
                     * @inheritdoc EIP712Domain
                     */
                    function _domainSeparator() internal override view returns (bytes32) {
                        return EIP712.makeDomainSeparator(name, "2", _chainId());
                    }
                    /**
                     * @notice Update allowance with a signed permit
                     * @dev EOA wallet signatures should be packed in the order of r, s, v.
                     * @param owner       Token owner's address (Authorizer)
                     * @param spender     Spender's address
                     * @param value       Amount of allowance
                     * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                     * @param signature   Signature bytes signed by an EOA wallet or a contract wallet
                     */
                    function permit(
                        address owner,
                        address spender,
                        uint256 value,
                        uint256 deadline,
                        bytes memory signature
                    ) external whenNotPaused {
                        _permit(owner, spender, value, deadline, signature);
                    }
                    /**
                     * @notice Execute a transfer with a signed authorization
                     * @dev EOA wallet signatures should be packed in the order of r, s, v.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                     */
                    function transferWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        bytes memory signature
                    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                        _transferWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            signature
                        );
                    }
                    /**
                     * @notice Receive a transfer with a signed authorization from the payer
                     * @dev This has an additional check to ensure that the payee's address
                     * matches the caller of this function to prevent front-running attacks.
                     * EOA wallet signatures should be packed in the order of r, s, v.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                     */
                    function receiveWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        bytes memory signature
                    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                        _receiveWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            signature
                        );
                    }
                    /**
                     * @notice Attempt to cancel an authorization
                     * @dev Works only if the authorization is not yet used.
                     * EOA wallet signatures should be packed in the order of r, s, v.
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
                     */
                    function cancelAuthorization(
                        address authorizer,
                        bytes32 nonce,
                        bytes memory signature
                    ) external whenNotPaused {
                        _cancelAuthorization(authorizer, nonce, signature);
                    }
                    /**
                     * @dev Helper method that sets the blacklist state of an account on balanceAndBlacklistStates.
                     * If _shouldBlacklist is true, we apply a (1 << 255) bitmask with an OR operation on the
                     * account's balanceAndBlacklistState. This flips the high bit for the account to 1,
                     * indicating that the account is blacklisted.
                     *
                     * If _shouldBlacklist if false, we reset the account's balanceAndBlacklistStates to their
                     * balances. This clears the high bit for the account, indicating that the account is unblacklisted.
                     * @param _account         The address of the account.
                     * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
                     */
                    function _setBlacklistState(address _account, bool _shouldBlacklist)
                        internal
                        override
                    {
                        balanceAndBlacklistStates[_account] = _shouldBlacklist
                            ? balanceAndBlacklistStates[_account] | (1 << 255)
                            : _balanceOf(_account);
                    }
                    /**
                     * @dev Helper method that sets the balance of an account on balanceAndBlacklistStates.
                     * Since balances are stored in the last 255 bits of the balanceAndBlacklistStates value,
                     * we need to ensure that the updated balance does not exceed (2^255 - 1).
                     * Since blacklisted accounts' balances cannot be updated, the method will also
                     * revert if the account is blacklisted
                     * @param _account The address of the account.
                     * @param _balance The new fiat token balance of the account (max: (2^255 - 1)).
                     */
                    function _setBalance(address _account, uint256 _balance) internal override {
                        require(
                            _balance <= ((1 << 255) - 1),
                            "FiatTokenV2_2: Balance exceeds (2^255 - 1)"
                        );
                        require(
                            !_isBlacklisted(_account),
                            "FiatTokenV2_2: Account is blacklisted"
                        );
                        balanceAndBlacklistStates[_account] = _balance;
                    }
                    /**
                     * @inheritdoc Blacklistable
                     */
                    function _isBlacklisted(address _account)
                        internal
                        override
                        view
                        returns (bool)
                    {
                        return balanceAndBlacklistStates[_account] >> 255 == 1;
                    }
                    /**
                     * @dev Helper method to obtain the balance of an account. Since balances
                     * are stored in the last 255 bits of the balanceAndBlacklistStates value,
                     * we apply a ((1 << 255) - 1) bit bitmask with an AND operation on the
                     * balanceAndBlacklistState to obtain the balance.
                     * @param _account  The address of the account.
                     * @return          The fiat token balance of the account.
                     */
                    function _balanceOf(address _account)
                        internal
                        override
                        view
                        returns (uint256)
                    {
                        return balanceAndBlacklistStates[_account] & ((1 << 255) - 1);
                    }
                    /**
                     * @inheritdoc FiatTokenV1
                     */
                    function approve(address spender, uint256 value)
                        external
                        override
                        whenNotPaused
                        returns (bool)
                    {
                        _approve(msg.sender, spender, value);
                        return true;
                    }
                    /**
                     * @inheritdoc FiatTokenV2
                     */
                    function permit(
                        address owner,
                        address spender,
                        uint256 value,
                        uint256 deadline,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) external override whenNotPaused {
                        _permit(owner, spender, value, deadline, v, r, s);
                    }
                    /**
                     * @inheritdoc FiatTokenV2
                     */
                    function increaseAllowance(address spender, uint256 increment)
                        external
                        override
                        whenNotPaused
                        returns (bool)
                    {
                        _increaseAllowance(msg.sender, spender, increment);
                        return true;
                    }
                    /**
                     * @inheritdoc FiatTokenV2
                     */
                    function decreaseAllowance(address spender, uint256 decrement)
                        external
                        override
                        whenNotPaused
                        returns (bool)
                    {
                        _decreaseAllowance(msg.sender, spender, decrement);
                        return true;
                    }
                }
                // SPDX-License-Identifier: MIT
                pragma solidity >=0.6.2 <0.8.0;
                /**
                 * @dev Collection of functions related to the address type
                 */
                library Address {
                    /**
                     * @dev Returns true if `account` is a contract.
                     *
                     * [IMPORTANT]
                     * ====
                     * It is unsafe to assume that an address for which this function returns
                     * false is an externally-owned account (EOA) and not a contract.
                     *
                     * Among others, `isContract` will return false for the following
                     * types of addresses:
                     *
                     *  - an externally-owned account
                     *  - a contract in construction
                     *  - an address where a contract will be created
                     *  - an address where a contract lived, but was destroyed
                     * ====
                     */
                    function isContract(address account) internal view returns (bool) {
                        // This method relies on extcodesize, which returns 0 for contracts in
                        // construction, since the code is only stored at the end of the
                        // constructor execution.
                        uint256 size;
                        // solhint-disable-next-line no-inline-assembly
                        assembly { size := extcodesize(account) }
                        return size > 0;
                    }
                    /**
                     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                     * `recipient`, forwarding all available gas and reverting on errors.
                     *
                     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                     * of certain opcodes, possibly making contracts go over the 2300 gas limit
                     * imposed by `transfer`, making them unable to receive funds via
                     * `transfer`. {sendValue} removes this limitation.
                     *
                     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                     *
                     * IMPORTANT: because control is transferred to `recipient`, care must be
                     * taken to not create reentrancy vulnerabilities. Consider using
                     * {ReentrancyGuard} or the
                     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                     */
                    function sendValue(address payable recipient, uint256 amount) internal {
                        require(address(this).balance >= amount, "Address: insufficient balance");
                        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
                        (bool success, ) = recipient.call{ value: amount }("");
                        require(success, "Address: unable to send value, recipient may have reverted");
                    }
                    /**
                     * @dev Performs a Solidity function call using a low level `call`. A
                     * plain`call` is an unsafe replacement for a function call: use this
                     * function instead.
                     *
                     * If `target` reverts with a revert reason, it is bubbled up by this
                     * function (like regular Solidity function calls).
                     *
                     * Returns the raw returned data. To convert to the expected return value,
                     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                     *
                     * Requirements:
                     *
                     * - `target` must be a contract.
                     * - calling `target` with `data` must not revert.
                     *
                     * _Available since v3.1._
                     */
                    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                      return functionCall(target, data, "Address: low-level call failed");
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                     * `errorMessage` as a fallback revert reason when `target` reverts.
                     *
                     * _Available since v3.1._
                     */
                    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
                        return functionCallWithValue(target, data, 0, errorMessage);
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                     * but also transferring `value` wei to `target`.
                     *
                     * Requirements:
                     *
                     * - the calling contract must have an ETH balance of at least `value`.
                     * - the called Solidity function must be `payable`.
                     *
                     * _Available since v3.1._
                     */
                    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                    }
                    /**
                     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                     * with `errorMessage` as a fallback revert reason when `target` reverts.
                     *
                     * _Available since v3.1._
                     */
                    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
                        require(address(this).balance >= value, "Address: insufficient balance for call");
                        require(isContract(target), "Address: call to non-contract");
                        // solhint-disable-next-line avoid-low-level-calls
                        (bool success, bytes memory returndata) = target.call{ value: value }(data);
                        return _verifyCallResult(success, returndata, errorMessage);
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                     * but performing a static call.
                     *
                     * _Available since v3.3._
                     */
                    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                        return functionStaticCall(target, data, "Address: low-level static call failed");
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                     * but performing a static call.
                     *
                     * _Available since v3.3._
                     */
                    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
                        require(isContract(target), "Address: static call to non-contract");
                        // solhint-disable-next-line avoid-low-level-calls
                        (bool success, bytes memory returndata) = target.staticcall(data);
                        return _verifyCallResult(success, returndata, errorMessage);
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                     * but performing a delegate call.
                     *
                     * _Available since v3.4._
                     */
                    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                    }
                    /**
                     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                     * but performing a delegate call.
                     *
                     * _Available since v3.4._
                     */
                    function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
                        require(isContract(target), "Address: delegate call to non-contract");
                        // solhint-disable-next-line avoid-low-level-calls
                        (bool success, bytes memory returndata) = target.delegatecall(data);
                        return _verifyCallResult(success, returndata, errorMessage);
                    }
                    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
                        if (success) {
                            return returndata;
                        } else {
                            // Look for revert reason and bubble it up if present
                            if (returndata.length > 0) {
                                // The easiest way to bubble the revert reason is using memory via assembly
                                // solhint-disable-next-line no-inline-assembly
                                assembly {
                                    let returndata_size := mload(returndata)
                                    revert(add(32, returndata), returndata_size)
                                }
                            } else {
                                revert(errorMessage);
                            }
                        }
                    }
                }
                // SPDX-License-Identifier: MIT
                pragma solidity >=0.6.0 <0.8.0;
                import "./IERC20.sol";
                import "../../math/SafeMath.sol";
                import "../../utils/Address.sol";
                /**
                 * @title SafeERC20
                 * @dev Wrappers around ERC20 operations that throw on failure (when the token
                 * contract returns false). Tokens that return no value (and instead revert or
                 * throw on failure) are also supported, non-reverting calls are assumed to be
                 * successful.
                 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
                 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
                 */
                library SafeERC20 {
                    using SafeMath for uint256;
                    using Address for address;
                    function safeTransfer(IERC20 token, address to, uint256 value) internal {
                        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
                    }
                    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
                        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
                    }
                    /**
                     * @dev Deprecated. This function has issues similar to the ones found in
                     * {IERC20-approve}, and its usage is discouraged.
                     *
                     * Whenever possible, use {safeIncreaseAllowance} and
                     * {safeDecreaseAllowance} instead.
                     */
                    function safeApprove(IERC20 token, address spender, uint256 value) internal {
                        // safeApprove should only be called when setting an initial allowance,
                        // or when resetting it to zero. To increase and decrease it, use
                        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
                        // solhint-disable-next-line max-line-length
                        require((value == 0) || (token.allowance(address(this), spender) == 0),
                            "SafeERC20: approve from non-zero to non-zero allowance"
                        );
                        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
                    }
                    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                        uint256 newAllowance = token.allowance(address(this), spender).add(value);
                        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                    }
                    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
                        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
                        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
                    }
                    /**
                     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
                     * on the return value: the return value is optional (but if data is returned, it must not be false).
                     * @param token The token targeted by the call.
                     * @param data The call data (encoded using abi.encode or one of its variants).
                     */
                    function _callOptionalReturn(IERC20 token, bytes memory data) private {
                        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
                        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
                        // the target address contains contract code and also asserts for success in the low-level call.
                        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
                        if (returndata.length > 0) { // Return data is optional
                            // solhint-disable-next-line max-line-length
                            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
                        }
                    }
                }
                // SPDX-License-Identifier: MIT
                pragma solidity >=0.6.0 <0.8.0;
                /**
                 * @dev Interface of the ERC20 standard as defined in the EIP.
                 */
                interface IERC20 {
                    /**
                     * @dev Returns the amount of tokens in existence.
                     */
                    function totalSupply() external view returns (uint256);
                    /**
                     * @dev Returns the amount of tokens owned by `account`.
                     */
                    function balanceOf(address account) external view returns (uint256);
                    /**
                     * @dev Moves `amount` tokens from the caller's account to `recipient`.
                     *
                     * Returns a boolean value indicating whether the operation succeeded.
                     *
                     * Emits a {Transfer} event.
                     */
                    function transfer(address recipient, uint256 amount) external returns (bool);
                    /**
                     * @dev Returns the remaining number of tokens that `spender` will be
                     * allowed to spend on behalf of `owner` through {transferFrom}. This is
                     * zero by default.
                     *
                     * This value changes when {approve} or {transferFrom} are called.
                     */
                    function allowance(address owner, address spender) external view returns (uint256);
                    /**
                     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                     *
                     * Returns a boolean value indicating whether the operation succeeded.
                     *
                     * IMPORTANT: Beware that changing an allowance with this method brings the risk
                     * that someone may use both the old and the new allowance by unfortunate
                     * transaction ordering. One possible solution to mitigate this race
                     * condition is to first reduce the spender's allowance to 0 and set the
                     * desired value afterwards:
                     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                     *
                     * Emits an {Approval} event.
                     */
                    function approve(address spender, uint256 amount) external returns (bool);
                    /**
                     * @dev Moves `amount` tokens from `sender` to `recipient` using the
                     * allowance mechanism. `amount` is then deducted from the caller's
                     * allowance.
                     *
                     * Returns a boolean value indicating whether the operation succeeded.
                     *
                     * Emits a {Transfer} event.
                     */
                    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
                    /**
                     * @dev Emitted when `value` tokens are moved from one account (`from`) to
                     * another (`to`).
                     *
                     * Note that `value` may be zero.
                     */
                    event Transfer(address indexed from, address indexed to, uint256 value);
                    /**
                     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                     * a call to {approve}. `value` is the new allowance.
                     */
                    event Approval(address indexed owner, address indexed spender, uint256 value);
                }
                // SPDX-License-Identifier: MIT
                pragma solidity >=0.6.0 <0.8.0;
                /**
                 * @dev Wrappers over Solidity's arithmetic operations with added overflow
                 * checks.
                 *
                 * Arithmetic operations in Solidity wrap on overflow. This can easily result
                 * in bugs, because programmers usually assume that an overflow raises an
                 * error, which is the standard behavior in high level programming languages.
                 * `SafeMath` restores this intuition by reverting the transaction when an
                 * operation overflows.
                 *
                 * Using this library instead of the unchecked operations eliminates an entire
                 * class of bugs, so it's recommended to use it always.
                 */
                library SafeMath {
                    /**
                     * @dev Returns the addition of two unsigned integers, with an overflow flag.
                     *
                     * _Available since v3.4._
                     */
                    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                        uint256 c = a + b;
                        if (c < a) return (false, 0);
                        return (true, c);
                    }
                    /**
                     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
                     *
                     * _Available since v3.4._
                     */
                    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                        if (b > a) return (false, 0);
                        return (true, a - b);
                    }
                    /**
                     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
                     *
                     * _Available since v3.4._
                     */
                    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
                        // benefit is lost if 'b' is also tested.
                        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
                        if (a == 0) return (true, 0);
                        uint256 c = a * b;
                        if (c / a != b) return (false, 0);
                        return (true, c);
                    }
                    /**
                     * @dev Returns the division of two unsigned integers, with a division by zero flag.
                     *
                     * _Available since v3.4._
                     */
                    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                        if (b == 0) return (false, 0);
                        return (true, a / b);
                    }
                    /**
                     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
                     *
                     * _Available since v3.4._
                     */
                    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
                        if (b == 0) return (false, 0);
                        return (true, a % b);
                    }
                    /**
                     * @dev Returns the addition of two unsigned integers, reverting on
                     * overflow.
                     *
                     * Counterpart to Solidity's `+` operator.
                     *
                     * Requirements:
                     *
                     * - Addition cannot overflow.
                     */
                    function add(uint256 a, uint256 b) internal pure returns (uint256) {
                        uint256 c = a + b;
                        require(c >= a, "SafeMath: addition overflow");
                        return c;
                    }
                    /**
                     * @dev Returns the subtraction of two unsigned integers, reverting on
                     * overflow (when the result is negative).
                     *
                     * Counterpart to Solidity's `-` operator.
                     *
                     * Requirements:
                     *
                     * - Subtraction cannot overflow.
                     */
                    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
                        require(b <= a, "SafeMath: subtraction overflow");
                        return a - b;
                    }
                    /**
                     * @dev Returns the multiplication of two unsigned integers, reverting on
                     * overflow.
                     *
                     * Counterpart to Solidity's `*` operator.
                     *
                     * Requirements:
                     *
                     * - Multiplication cannot overflow.
                     */
                    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
                        if (a == 0) return 0;
                        uint256 c = a * b;
                        require(c / a == b, "SafeMath: multiplication overflow");
                        return c;
                    }
                    /**
                     * @dev Returns the integer division of two unsigned integers, reverting on
                     * division by zero. The result is rounded towards zero.
                     *
                     * Counterpart to Solidity's `/` operator. Note: this function uses a
                     * `revert` opcode (which leaves remaining gas untouched) while Solidity
                     * uses an invalid opcode to revert (consuming all remaining gas).
                     *
                     * Requirements:
                     *
                     * - The divisor cannot be zero.
                     */
                    function div(uint256 a, uint256 b) internal pure returns (uint256) {
                        require(b > 0, "SafeMath: division by zero");
                        return a / b;
                    }
                    /**
                     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                     * reverting when dividing by zero.
                     *
                     * Counterpart to Solidity's `%` operator. This function uses a `revert`
                     * opcode (which leaves remaining gas untouched) while Solidity uses an
                     * invalid opcode to revert (consuming all remaining gas).
                     *
                     * Requirements:
                     *
                     * - The divisor cannot be zero.
                     */
                    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
                        require(b > 0, "SafeMath: modulo by zero");
                        return a % b;
                    }
                    /**
                     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
                     * overflow (when the result is negative).
                     *
                     * CAUTION: This function is deprecated because it requires allocating memory for the error
                     * message unnecessarily. For custom revert reasons use {trySub}.
                     *
                     * Counterpart to Solidity's `-` operator.
                     *
                     * Requirements:
                     *
                     * - Subtraction cannot overflow.
                     */
                    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                        require(b <= a, errorMessage);
                        return a - b;
                    }
                    /**
                     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
                     * division by zero. The result is rounded towards zero.
                     *
                     * CAUTION: This function is deprecated because it requires allocating memory for the error
                     * message unnecessarily. For custom revert reasons use {tryDiv}.
                     *
                     * Counterpart to Solidity's `/` operator. Note: this function uses a
                     * `revert` opcode (which leaves remaining gas untouched) while Solidity
                     * uses an invalid opcode to revert (consuming all remaining gas).
                     *
                     * Requirements:
                     *
                     * - The divisor cannot be zero.
                     */
                    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                        require(b > 0, errorMessage);
                        return a / b;
                    }
                    /**
                     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
                     * reverting with custom message when dividing by zero.
                     *
                     * CAUTION: This function is deprecated because it requires allocating memory for the error
                     * message unnecessarily. For custom revert reasons use {tryMod}.
                     *
                     * Counterpart to Solidity's `%` operator. This function uses a `revert`
                     * opcode (which leaves remaining gas untouched) while Solidity uses an
                     * invalid opcode to revert (consuming all remaining gas).
                     *
                     * Requirements:
                     *
                     * - The divisor cannot be zero.
                     */
                    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
                        require(b > 0, errorMessage);
                        return a % b;
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { FiatTokenV2 } from "./FiatTokenV2.sol";
                // solhint-disable func-name-mixedcase
                /**
                 * @title FiatToken V2.1
                 * @notice ERC20 Token backed by fiat reserves, version 2.1
                 */
                contract FiatTokenV2_1 is FiatTokenV2 {
                    /**
                     * @notice Initialize v2.1
                     * @param lostAndFound  The address to which the locked funds are sent
                     */
                    function initializeV2_1(address lostAndFound) external {
                        // solhint-disable-next-line reason-string
                        require(_initializedVersion == 1);
                        uint256 lockedAmount = _balanceOf(address(this));
                        if (lockedAmount > 0) {
                            _transfer(address(this), lostAndFound, lockedAmount);
                        }
                        _blacklist(address(this));
                        _initializedVersion = 2;
                    }
                    /**
                     * @notice Version string for the EIP712 domain separator
                     * @return Version string
                     */
                    function version() external pure returns (string memory) {
                        return "2";
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { FiatTokenV1_1 } from "../v1.1/FiatTokenV1_1.sol";
                import { EIP712 } from "../util/EIP712.sol";
                import { EIP3009 } from "./EIP3009.sol";
                import { EIP2612 } from "./EIP2612.sol";
                /**
                 * @title FiatToken V2
                 * @notice ERC20 Token backed by fiat reserves, version 2
                 */
                contract FiatTokenV2 is FiatTokenV1_1, EIP3009, EIP2612 {
                    uint8 internal _initializedVersion;
                    /**
                     * @notice Initialize v2
                     * @param newName   New token name
                     */
                    function initializeV2(string calldata newName) external {
                        // solhint-disable-next-line reason-string
                        require(initialized && _initializedVersion == 0);
                        name = newName;
                        _DEPRECATED_CACHED_DOMAIN_SEPARATOR = EIP712.makeDomainSeparator(
                            newName,
                            "2"
                        );
                        _initializedVersion = 1;
                    }
                    /**
                     * @notice Increase the allowance by a given increment
                     * @param spender   Spender's address
                     * @param increment Amount of increase in allowance
                     * @return True if successful
                     */
                    function increaseAllowance(address spender, uint256 increment)
                        external
                        virtual
                        whenNotPaused
                        notBlacklisted(msg.sender)
                        notBlacklisted(spender)
                        returns (bool)
                    {
                        _increaseAllowance(msg.sender, spender, increment);
                        return true;
                    }
                    /**
                     * @notice Decrease the allowance by a given decrement
                     * @param spender   Spender's address
                     * @param decrement Amount of decrease in allowance
                     * @return True if successful
                     */
                    function decreaseAllowance(address spender, uint256 decrement)
                        external
                        virtual
                        whenNotPaused
                        notBlacklisted(msg.sender)
                        notBlacklisted(spender)
                        returns (bool)
                    {
                        _decreaseAllowance(msg.sender, spender, decrement);
                        return true;
                    }
                    /**
                     * @notice Execute a transfer with a signed authorization
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function transferWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                        _transferWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            v,
                            r,
                            s
                        );
                    }
                    /**
                     * @notice Receive a transfer with a signed authorization from the payer
                     * @dev This has an additional check to ensure that the payee's address
                     * matches the caller of this function to prevent front-running attacks.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function receiveWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
                        _receiveWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            v,
                            r,
                            s
                        );
                    }
                    /**
                     * @notice Attempt to cancel an authorization
                     * @dev Works only if the authorization is not yet used.
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function cancelAuthorization(
                        address authorizer,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) external whenNotPaused {
                        _cancelAuthorization(authorizer, nonce, v, r, s);
                    }
                    /**
                     * @notice Update allowance with a signed permit
                     * @param owner       Token owner's address (Authorizer)
                     * @param spender     Spender's address
                     * @param value       Amount of allowance
                     * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                     * @param v           v of the signature
                     * @param r           r of the signature
                     * @param s           s of the signature
                     */
                    function permit(
                        address owner,
                        address spender,
                        uint256 value,
                        uint256 deadline,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    )
                        external
                        virtual
                        whenNotPaused
                        notBlacklisted(owner)
                        notBlacklisted(spender)
                    {
                        _permit(owner, spender, value, deadline, v, r, s);
                    }
                    /**
                     * @dev Internal function to increase the allowance by a given increment
                     * @param owner     Token owner's address
                     * @param spender   Spender's address
                     * @param increment Amount of increase
                     */
                    function _increaseAllowance(
                        address owner,
                        address spender,
                        uint256 increment
                    ) internal override {
                        _approve(owner, spender, allowed[owner][spender].add(increment));
                    }
                    /**
                     * @dev Internal function to decrease the allowance by a given decrement
                     * @param owner     Token owner's address
                     * @param spender   Spender's address
                     * @param decrement Amount of decrease
                     */
                    function _decreaseAllowance(
                        address owner,
                        address spender,
                        uint256 decrement
                    ) internal override {
                        _approve(
                            owner,
                            spender,
                            allowed[owner][spender].sub(
                                decrement,
                                "ERC20: decreased allowance below zero"
                            )
                        );
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                // solhint-disable func-name-mixedcase
                /**
                 * @title EIP712 Domain
                 */
                contract EIP712Domain {
                    // was originally DOMAIN_SEPARATOR
                    // but that has been moved to a method so we can override it in V2_2+
                    bytes32 internal _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
                    /**
                     * @notice Get the EIP712 Domain Separator.
                     * @return The bytes32 EIP712 domain separator.
                     */
                    function DOMAIN_SEPARATOR() external view returns (bytes32) {
                        return _domainSeparator();
                    }
                    /**
                     * @dev Internal method to get the EIP712 Domain Separator.
                     * @return The bytes32 EIP712 domain separator.
                     */
                    function _domainSeparator() internal virtual view returns (bytes32) {
                        return _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
                import { EIP712Domain } from "./EIP712Domain.sol";
                import { SignatureChecker } from "../util/SignatureChecker.sol";
                import { MessageHashUtils } from "../util/MessageHashUtils.sol";
                /**
                 * @title EIP-3009
                 * @notice Provide internal implementation for gas-abstracted transfers
                 * @dev Contracts that inherit from this must wrap these with publicly
                 * accessible functions, optionally adding modifiers where necessary
                 */
                abstract contract EIP3009 is AbstractFiatTokenV2, EIP712Domain {
                    // keccak256("TransferWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
                    bytes32
                        public constant TRANSFER_WITH_AUTHORIZATION_TYPEHASH = 0x7c7c6cdb67a18743f49ec6fa9b35f50d52ed05cbed4cc592e13b44501c1a2267;
                    // keccak256("ReceiveWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
                    bytes32
                        public constant RECEIVE_WITH_AUTHORIZATION_TYPEHASH = 0xd099cc98ef71107a616c4f0f941f04c322d8e254fe26b3c6668db87aae413de8;
                    // keccak256("CancelAuthorization(address authorizer,bytes32 nonce)")
                    bytes32
                        public constant CANCEL_AUTHORIZATION_TYPEHASH = 0x158b0a9edf7a828aad02f63cd515c68ef2f50ba807396f6d12842833a1597429;
                    /**
                     * @dev authorizer address => nonce => bool (true if nonce is used)
                     */
                    mapping(address => mapping(bytes32 => bool)) private _authorizationStates;
                    event AuthorizationUsed(address indexed authorizer, bytes32 indexed nonce);
                    event AuthorizationCanceled(
                        address indexed authorizer,
                        bytes32 indexed nonce
                    );
                    /**
                     * @notice Returns the state of an authorization
                     * @dev Nonces are randomly generated 32-byte data unique to the
                     * authorizer's address
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @return True if the nonce is used
                     */
                    function authorizationState(address authorizer, bytes32 nonce)
                        external
                        view
                        returns (bool)
                    {
                        return _authorizationStates[authorizer][nonce];
                    }
                    /**
                     * @notice Execute a transfer with a signed authorization
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function _transferWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) internal {
                        _transferWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            abi.encodePacked(r, s, v)
                        );
                    }
                    /**
                     * @notice Execute a transfer with a signed authorization
                     * @dev EOA wallet signatures should be packed in the order of r, s, v.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                     */
                    function _transferWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        bytes memory signature
                    ) internal {
                        _requireValidAuthorization(from, nonce, validAfter, validBefore);
                        _requireValidSignature(
                            from,
                            keccak256(
                                abi.encode(
                                    TRANSFER_WITH_AUTHORIZATION_TYPEHASH,
                                    from,
                                    to,
                                    value,
                                    validAfter,
                                    validBefore,
                                    nonce
                                )
                            ),
                            signature
                        );
                        _markAuthorizationAsUsed(from, nonce);
                        _transfer(from, to, value);
                    }
                    /**
                     * @notice Receive a transfer with a signed authorization from the payer
                     * @dev This has an additional check to ensure that the payee's address
                     * matches the caller of this function to prevent front-running attacks.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function _receiveWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) internal {
                        _receiveWithAuthorization(
                            from,
                            to,
                            value,
                            validAfter,
                            validBefore,
                            nonce,
                            abi.encodePacked(r, s, v)
                        );
                    }
                    /**
                     * @notice Receive a transfer with a signed authorization from the payer
                     * @dev This has an additional check to ensure that the payee's address
                     * matches the caller of this function to prevent front-running attacks.
                     * EOA wallet signatures should be packed in the order of r, s, v.
                     * @param from          Payer's address (Authorizer)
                     * @param to            Payee's address
                     * @param value         Amount to be transferred
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     * @param nonce         Unique nonce
                     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                     */
                    function _receiveWithAuthorization(
                        address from,
                        address to,
                        uint256 value,
                        uint256 validAfter,
                        uint256 validBefore,
                        bytes32 nonce,
                        bytes memory signature
                    ) internal {
                        require(to == msg.sender, "FiatTokenV2: caller must be the payee");
                        _requireValidAuthorization(from, nonce, validAfter, validBefore);
                        _requireValidSignature(
                            from,
                            keccak256(
                                abi.encode(
                                    RECEIVE_WITH_AUTHORIZATION_TYPEHASH,
                                    from,
                                    to,
                                    value,
                                    validAfter,
                                    validBefore,
                                    nonce
                                )
                            ),
                            signature
                        );
                        _markAuthorizationAsUsed(from, nonce);
                        _transfer(from, to, value);
                    }
                    /**
                     * @notice Attempt to cancel an authorization
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @param v             v of the signature
                     * @param r             r of the signature
                     * @param s             s of the signature
                     */
                    function _cancelAuthorization(
                        address authorizer,
                        bytes32 nonce,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) internal {
                        _cancelAuthorization(authorizer, nonce, abi.encodePacked(r, s, v));
                    }
                    /**
                     * @notice Attempt to cancel an authorization
                     * @dev EOA wallet signatures should be packed in the order of r, s, v.
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                     */
                    function _cancelAuthorization(
                        address authorizer,
                        bytes32 nonce,
                        bytes memory signature
                    ) internal {
                        _requireUnusedAuthorization(authorizer, nonce);
                        _requireValidSignature(
                            authorizer,
                            keccak256(
                                abi.encode(CANCEL_AUTHORIZATION_TYPEHASH, authorizer, nonce)
                            ),
                            signature
                        );
                        _authorizationStates[authorizer][nonce] = true;
                        emit AuthorizationCanceled(authorizer, nonce);
                    }
                    /**
                     * @notice Validates that signature against input data struct
                     * @param signer        Signer's address
                     * @param dataHash      Hash of encoded data struct
                     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
                     */
                    function _requireValidSignature(
                        address signer,
                        bytes32 dataHash,
                        bytes memory signature
                    ) private view {
                        require(
                            SignatureChecker.isValidSignatureNow(
                                signer,
                                MessageHashUtils.toTypedDataHash(_domainSeparator(), dataHash),
                                signature
                            ),
                            "FiatTokenV2: invalid signature"
                        );
                    }
                    /**
                     * @notice Check that an authorization is unused
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     */
                    function _requireUnusedAuthorization(address authorizer, bytes32 nonce)
                        private
                        view
                    {
                        require(
                            !_authorizationStates[authorizer][nonce],
                            "FiatTokenV2: authorization is used or canceled"
                        );
                    }
                    /**
                     * @notice Check that authorization is valid
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     * @param validAfter    The time after which this is valid (unix time)
                     * @param validBefore   The time before which this is valid (unix time)
                     */
                    function _requireValidAuthorization(
                        address authorizer,
                        bytes32 nonce,
                        uint256 validAfter,
                        uint256 validBefore
                    ) private view {
                        require(
                            now > validAfter,
                            "FiatTokenV2: authorization is not yet valid"
                        );
                        require(now < validBefore, "FiatTokenV2: authorization is expired");
                        _requireUnusedAuthorization(authorizer, nonce);
                    }
                    /**
                     * @notice Mark an authorization as used
                     * @param authorizer    Authorizer's address
                     * @param nonce         Nonce of the authorization
                     */
                    function _markAuthorizationAsUsed(address authorizer, bytes32 nonce)
                        private
                    {
                        _authorizationStates[authorizer][nonce] = true;
                        emit AuthorizationUsed(authorizer, nonce);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
                import { EIP712Domain } from "./EIP712Domain.sol";
                import { MessageHashUtils } from "../util/MessageHashUtils.sol";
                import { SignatureChecker } from "../util/SignatureChecker.sol";
                /**
                 * @title EIP-2612
                 * @notice Provide internal implementation for gas-abstracted approvals
                 */
                abstract contract EIP2612 is AbstractFiatTokenV2, EIP712Domain {
                    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)")
                    bytes32
                        public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                    mapping(address => uint256) private _permitNonces;
                    /**
                     * @notice Nonces for permit
                     * @param owner Token owner's address (Authorizer)
                     * @return Next nonce
                     */
                    function nonces(address owner) external view returns (uint256) {
                        return _permitNonces[owner];
                    }
                    /**
                     * @notice Verify a signed approval permit and execute if valid
                     * @param owner     Token owner's address (Authorizer)
                     * @param spender   Spender's address
                     * @param value     Amount of allowance
                     * @param deadline  The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                     * @param v         v of the signature
                     * @param r         r of the signature
                     * @param s         s of the signature
                     */
                    function _permit(
                        address owner,
                        address spender,
                        uint256 value,
                        uint256 deadline,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) internal {
                        _permit(owner, spender, value, deadline, abi.encodePacked(r, s, v));
                    }
                    /**
                     * @notice Verify a signed approval permit and execute if valid
                     * @dev EOA wallet signatures should be packed in the order of r, s, v.
                     * @param owner      Token owner's address (Authorizer)
                     * @param spender    Spender's address
                     * @param value      Amount of allowance
                     * @param deadline   The time at which the signature expires (unix time), or max uint256 value to signal no expiration
                     * @param signature  Signature byte array signed by an EOA wallet or a contract wallet
                     */
                    function _permit(
                        address owner,
                        address spender,
                        uint256 value,
                        uint256 deadline,
                        bytes memory signature
                    ) internal {
                        require(
                            deadline == type(uint256).max || deadline >= now,
                            "FiatTokenV2: permit is expired"
                        );
                        bytes32 typedDataHash = MessageHashUtils.toTypedDataHash(
                            _domainSeparator(),
                            keccak256(
                                abi.encode(
                                    PERMIT_TYPEHASH,
                                    owner,
                                    spender,
                                    value,
                                    _permitNonces[owner]++,
                                    deadline
                                )
                            )
                        );
                        require(
                            SignatureChecker.isValidSignatureNow(
                                owner,
                                typedDataHash,
                                signature
                            ),
                            "EIP2612: invalid signature"
                        );
                        _approve(owner, spender, value);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { AbstractFiatTokenV1 } from "../v1/AbstractFiatTokenV1.sol";
                abstract contract AbstractFiatTokenV2 is AbstractFiatTokenV1 {
                    function _increaseAllowance(
                        address owner,
                        address spender,
                        uint256 increment
                    ) internal virtual;
                    function _decreaseAllowance(
                        address owner,
                        address spender,
                        uint256 decrement
                    ) internal virtual;
                }
                /**
                 * SPDX-License-Identifier: MIT
                 *
                 * Copyright (c) 2016 Smart Contract Solutions, Inc.
                 * Copyright (c) 2018-2020 CENTRE SECZ
                 *
                 * Permission is hereby granted, free of charge, to any person obtaining a copy
                 * of this software and associated documentation files (the "Software"), to deal
                 * in the Software without restriction, including without limitation the rights
                 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
                 * copies of the Software, and to permit persons to whom the Software is
                 * furnished to do so, subject to the following conditions:
                 *
                 * The above copyright notice and this permission notice shall be included in
                 * copies or substantial portions of the Software.
                 *
                 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
                 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
                 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
                 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
                 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
                 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
                 * SOFTWARE.
                 */
                pragma solidity 0.6.12;
                import { Ownable } from "./Ownable.sol";
                /**
                 * @notice Base contract which allows children to implement an emergency stop
                 * mechanism
                 * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/feb665136c0dae9912e08397c1a21c4af3651ef3/contracts/lifecycle/Pausable.sol
                 * Modifications:
                 * 1. Added pauser role, switched pause/unpause to be onlyPauser (6/14/2018)
                 * 2. Removed whenNotPause/whenPaused from pause/unpause (6/14/2018)
                 * 3. Removed whenPaused (6/14/2018)
                 * 4. Switches ownable library to use ZeppelinOS (7/12/18)
                 * 5. Remove constructor (7/13/18)
                 * 6. Reformat, conform to Solidity 0.6 syntax and add error messages (5/13/20)
                 * 7. Make public functions external (5/27/20)
                 */
                contract Pausable is Ownable {
                    event Pause();
                    event Unpause();
                    event PauserChanged(address indexed newAddress);
                    address public pauser;
                    bool public paused = false;
                    /**
                     * @dev Modifier to make a function callable only when the contract is not paused.
                     */
                    modifier whenNotPaused() {
                        require(!paused, "Pausable: paused");
                        _;
                    }
                    /**
                     * @dev throws if called by any account other than the pauser
                     */
                    modifier onlyPauser() {
                        require(msg.sender == pauser, "Pausable: caller is not the pauser");
                        _;
                    }
                    /**
                     * @dev called by the owner to pause, triggers stopped state
                     */
                    function pause() external onlyPauser {
                        paused = true;
                        emit Pause();
                    }
                    /**
                     * @dev called by the owner to unpause, returns to normal state
                     */
                    function unpause() external onlyPauser {
                        paused = false;
                        emit Unpause();
                    }
                    /**
                     * @notice Updates the pauser address.
                     * @param _newPauser The address of the new pauser.
                     */
                    function updatePauser(address _newPauser) external onlyOwner {
                        require(
                            _newPauser != address(0),
                            "Pausable: new pauser is the zero address"
                        );
                        pauser = _newPauser;
                        emit PauserChanged(pauser);
                    }
                }
                /**
                 * SPDX-License-Identifier: MIT
                 *
                 * Copyright (c) 2018 zOS Global Limited.
                 * Copyright (c) 2018-2020 CENTRE SECZ
                 *
                 * Permission is hereby granted, free of charge, to any person obtaining a copy
                 * of this software and associated documentation files (the "Software"), to deal
                 * in the Software without restriction, including without limitation the rights
                 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
                 * copies of the Software, and to permit persons to whom the Software is
                 * furnished to do so, subject to the following conditions:
                 *
                 * The above copyright notice and this permission notice shall be included in
                 * copies or substantial portions of the Software.
                 *
                 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
                 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
                 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
                 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
                 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
                 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
                 * SOFTWARE.
                 */
                pragma solidity 0.6.12;
                /**
                 * @notice The Ownable contract has an owner address, and provides basic
                 * authorization control functions
                 * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-labs/blob/3887ab77b8adafba4a26ace002f3a684c1a3388b/upgradeability_ownership/contracts/ownership/Ownable.sol
                 * Modifications:
                 * 1. Consolidate OwnableStorage into this contract (7/13/18)
                 * 2. Reformat, conform to Solidity 0.6 syntax, and add error messages (5/13/20)
                 * 3. Make public functions external (5/27/20)
                 */
                contract Ownable {
                    // Owner of the contract
                    address private _owner;
                    /**
                     * @dev Event to show ownership has been transferred
                     * @param previousOwner representing the address of the previous owner
                     * @param newOwner representing the address of the new owner
                     */
                    event OwnershipTransferred(address previousOwner, address newOwner);
                    /**
                     * @dev The constructor sets the original owner of the contract to the sender account.
                     */
                    constructor() public {
                        setOwner(msg.sender);
                    }
                    /**
                     * @dev Tells the address of the owner
                     * @return the address of the owner
                     */
                    function owner() external view returns (address) {
                        return _owner;
                    }
                    /**
                     * @dev Sets a new owner address
                     */
                    function setOwner(address newOwner) internal {
                        _owner = newOwner;
                    }
                    /**
                     * @dev Throws if called by any account other than the owner.
                     */
                    modifier onlyOwner() {
                        require(msg.sender == _owner, "Ownable: caller is not the owner");
                        _;
                    }
                    /**
                     * @dev Allows the current owner to transfer control of the contract to a newOwner.
                     * @param newOwner The address to transfer ownership to.
                     */
                    function transferOwnership(address newOwner) external onlyOwner {
                        require(
                            newOwner != address(0),
                            "Ownable: new owner is the zero address"
                        );
                        emit OwnershipTransferred(_owner, newOwner);
                        setOwner(newOwner);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { SafeMath } from "@openzeppelin/contracts/math/SafeMath.sol";
                import { AbstractFiatTokenV1 } from "./AbstractFiatTokenV1.sol";
                import { Ownable } from "./Ownable.sol";
                import { Pausable } from "./Pausable.sol";
                import { Blacklistable } from "./Blacklistable.sol";
                /**
                 * @title FiatToken
                 * @dev ERC20 Token backed by fiat reserves
                 */
                contract FiatTokenV1 is AbstractFiatTokenV1, Ownable, Pausable, Blacklistable {
                    using SafeMath for uint256;
                    string public name;
                    string public symbol;
                    uint8 public decimals;
                    string public currency;
                    address public masterMinter;
                    bool internal initialized;
                    /// @dev A mapping that stores the balance and blacklist states for a given address.
                    /// The first bit defines whether the address is blacklisted (1 if blacklisted, 0 otherwise).
                    /// The last 255 bits define the balance for the address.
                    mapping(address => uint256) internal balanceAndBlacklistStates;
                    mapping(address => mapping(address => uint256)) internal allowed;
                    uint256 internal totalSupply_ = 0;
                    mapping(address => bool) internal minters;
                    mapping(address => uint256) internal minterAllowed;
                    event Mint(address indexed minter, address indexed to, uint256 amount);
                    event Burn(address indexed burner, uint256 amount);
                    event MinterConfigured(address indexed minter, uint256 minterAllowedAmount);
                    event MinterRemoved(address indexed oldMinter);
                    event MasterMinterChanged(address indexed newMasterMinter);
                    /**
                     * @notice Initializes the fiat token contract.
                     * @param tokenName       The name of the fiat token.
                     * @param tokenSymbol     The symbol of the fiat token.
                     * @param tokenCurrency   The fiat currency that the token represents.
                     * @param tokenDecimals   The number of decimals that the token uses.
                     * @param newMasterMinter The masterMinter address for the fiat token.
                     * @param newPauser       The pauser address for the fiat token.
                     * @param newBlacklister  The blacklister address for the fiat token.
                     * @param newOwner        The owner of the fiat token.
                     */
                    function initialize(
                        string memory tokenName,
                        string memory tokenSymbol,
                        string memory tokenCurrency,
                        uint8 tokenDecimals,
                        address newMasterMinter,
                        address newPauser,
                        address newBlacklister,
                        address newOwner
                    ) public {
                        require(!initialized, "FiatToken: contract is already initialized");
                        require(
                            newMasterMinter != address(0),
                            "FiatToken: new masterMinter is the zero address"
                        );
                        require(
                            newPauser != address(0),
                            "FiatToken: new pauser is the zero address"
                        );
                        require(
                            newBlacklister != address(0),
                            "FiatToken: new blacklister is the zero address"
                        );
                        require(
                            newOwner != address(0),
                            "FiatToken: new owner is the zero address"
                        );
                        name = tokenName;
                        symbol = tokenSymbol;
                        currency = tokenCurrency;
                        decimals = tokenDecimals;
                        masterMinter = newMasterMinter;
                        pauser = newPauser;
                        blacklister = newBlacklister;
                        setOwner(newOwner);
                        initialized = true;
                    }
                    /**
                     * @dev Throws if called by any account other than a minter.
                     */
                    modifier onlyMinters() {
                        require(minters[msg.sender], "FiatToken: caller is not a minter");
                        _;
                    }
                    /**
                     * @notice Mints fiat tokens to an address.
                     * @param _to The address that will receive the minted tokens.
                     * @param _amount The amount of tokens to mint. Must be less than or equal
                     * to the minterAllowance of the caller.
                     * @return True if the operation was successful.
                     */
                    function mint(address _to, uint256 _amount)
                        external
                        whenNotPaused
                        onlyMinters
                        notBlacklisted(msg.sender)
                        notBlacklisted(_to)
                        returns (bool)
                    {
                        require(_to != address(0), "FiatToken: mint to the zero address");
                        require(_amount > 0, "FiatToken: mint amount not greater than 0");
                        uint256 mintingAllowedAmount = minterAllowed[msg.sender];
                        require(
                            _amount <= mintingAllowedAmount,
                            "FiatToken: mint amount exceeds minterAllowance"
                        );
                        totalSupply_ = totalSupply_.add(_amount);
                        _setBalance(_to, _balanceOf(_to).add(_amount));
                        minterAllowed[msg.sender] = mintingAllowedAmount.sub(_amount);
                        emit Mint(msg.sender, _to, _amount);
                        emit Transfer(address(0), _to, _amount);
                        return true;
                    }
                    /**
                     * @dev Throws if called by any account other than the masterMinter
                     */
                    modifier onlyMasterMinter() {
                        require(
                            msg.sender == masterMinter,
                            "FiatToken: caller is not the masterMinter"
                        );
                        _;
                    }
                    /**
                     * @notice Gets the minter allowance for an account.
                     * @param minter The address to check.
                     * @return The remaining minter allowance for the account.
                     */
                    function minterAllowance(address minter) external view returns (uint256) {
                        return minterAllowed[minter];
                    }
                    /**
                     * @notice Checks if an account is a minter.
                     * @param account The address to check.
                     * @return True if the account is a minter, false if the account is not a minter.
                     */
                    function isMinter(address account) external view returns (bool) {
                        return minters[account];
                    }
                    /**
                     * @notice Gets the remaining amount of fiat tokens a spender is allowed to transfer on
                     * behalf of the token owner.
                     * @param owner   The token owner's address.
                     * @param spender The spender's address.
                     * @return The remaining allowance.
                     */
                    function allowance(address owner, address spender)
                        external
                        override
                        view
                        returns (uint256)
                    {
                        return allowed[owner][spender];
                    }
                    /**
                     * @notice Gets the totalSupply of the fiat token.
                     * @return The totalSupply of the fiat token.
                     */
                    function totalSupply() external override view returns (uint256) {
                        return totalSupply_;
                    }
                    /**
                     * @notice Gets the fiat token balance of an account.
                     * @param account  The address to check.
                     * @return balance The fiat token balance of the account.
                     */
                    function balanceOf(address account)
                        external
                        override
                        view
                        returns (uint256)
                    {
                        return _balanceOf(account);
                    }
                    /**
                     * @notice Sets a fiat token allowance for a spender to spend on behalf of the caller.
                     * @param spender The spender's address.
                     * @param value   The allowance amount.
                     * @return True if the operation was successful.
                     */
                    function approve(address spender, uint256 value)
                        external
                        virtual
                        override
                        whenNotPaused
                        notBlacklisted(msg.sender)
                        notBlacklisted(spender)
                        returns (bool)
                    {
                        _approve(msg.sender, spender, value);
                        return true;
                    }
                    /**
                     * @dev Internal function to set allowance.
                     * @param owner     Token owner's address.
                     * @param spender   Spender's address.
                     * @param value     Allowance amount.
                     */
                    function _approve(
                        address owner,
                        address spender,
                        uint256 value
                    ) internal override {
                        require(owner != address(0), "ERC20: approve from the zero address");
                        require(spender != address(0), "ERC20: approve to the zero address");
                        allowed[owner][spender] = value;
                        emit Approval(owner, spender, value);
                    }
                    /**
                     * @notice Transfers tokens from an address to another by spending the caller's allowance.
                     * @dev The caller must have some fiat token allowance on the payer's tokens.
                     * @param from  Payer's address.
                     * @param to    Payee's address.
                     * @param value Transfer amount.
                     * @return True if the operation was successful.
                     */
                    function transferFrom(
                        address from,
                        address to,
                        uint256 value
                    )
                        external
                        override
                        whenNotPaused
                        notBlacklisted(msg.sender)
                        notBlacklisted(from)
                        notBlacklisted(to)
                        returns (bool)
                    {
                        require(
                            value <= allowed[from][msg.sender],
                            "ERC20: transfer amount exceeds allowance"
                        );
                        _transfer(from, to, value);
                        allowed[from][msg.sender] = allowed[from][msg.sender].sub(value);
                        return true;
                    }
                    /**
                     * @notice Transfers tokens from the caller.
                     * @param to    Payee's address.
                     * @param value Transfer amount.
                     * @return True if the operation was successful.
                     */
                    function transfer(address to, uint256 value)
                        external
                        override
                        whenNotPaused
                        notBlacklisted(msg.sender)
                        notBlacklisted(to)
                        returns (bool)
                    {
                        _transfer(msg.sender, to, value);
                        return true;
                    }
                    /**
                     * @dev Internal function to process transfers.
                     * @param from  Payer's address.
                     * @param to    Payee's address.
                     * @param value Transfer amount.
                     */
                    function _transfer(
                        address from,
                        address to,
                        uint256 value
                    ) internal override {
                        require(from != address(0), "ERC20: transfer from the zero address");
                        require(to != address(0), "ERC20: transfer to the zero address");
                        require(
                            value <= _balanceOf(from),
                            "ERC20: transfer amount exceeds balance"
                        );
                        _setBalance(from, _balanceOf(from).sub(value));
                        _setBalance(to, _balanceOf(to).add(value));
                        emit Transfer(from, to, value);
                    }
                    /**
                     * @notice Adds or updates a new minter with a mint allowance.
                     * @param minter The address of the minter.
                     * @param minterAllowedAmount The minting amount allowed for the minter.
                     * @return True if the operation was successful.
                     */
                    function configureMinter(address minter, uint256 minterAllowedAmount)
                        external
                        whenNotPaused
                        onlyMasterMinter
                        returns (bool)
                    {
                        minters[minter] = true;
                        minterAllowed[minter] = minterAllowedAmount;
                        emit MinterConfigured(minter, minterAllowedAmount);
                        return true;
                    }
                    /**
                     * @notice Removes a minter.
                     * @param minter The address of the minter to remove.
                     * @return True if the operation was successful.
                     */
                    function removeMinter(address minter)
                        external
                        onlyMasterMinter
                        returns (bool)
                    {
                        minters[minter] = false;
                        minterAllowed[minter] = 0;
                        emit MinterRemoved(minter);
                        return true;
                    }
                    /**
                     * @notice Allows a minter to burn some of its own tokens.
                     * @dev The caller must be a minter, must not be blacklisted, and the amount to burn
                     * should be less than or equal to the account's balance.
                     * @param _amount the amount of tokens to be burned.
                     */
                    function burn(uint256 _amount)
                        external
                        whenNotPaused
                        onlyMinters
                        notBlacklisted(msg.sender)
                    {
                        uint256 balance = _balanceOf(msg.sender);
                        require(_amount > 0, "FiatToken: burn amount not greater than 0");
                        require(balance >= _amount, "FiatToken: burn amount exceeds balance");
                        totalSupply_ = totalSupply_.sub(_amount);
                        _setBalance(msg.sender, balance.sub(_amount));
                        emit Burn(msg.sender, _amount);
                        emit Transfer(msg.sender, address(0), _amount);
                    }
                    /**
                     * @notice Updates the master minter address.
                     * @param _newMasterMinter The address of the new master minter.
                     */
                    function updateMasterMinter(address _newMasterMinter) external onlyOwner {
                        require(
                            _newMasterMinter != address(0),
                            "FiatToken: new masterMinter is the zero address"
                        );
                        masterMinter = _newMasterMinter;
                        emit MasterMinterChanged(masterMinter);
                    }
                    /**
                     * @inheritdoc Blacklistable
                     */
                    function _blacklist(address _account) internal override {
                        _setBlacklistState(_account, true);
                    }
                    /**
                     * @inheritdoc Blacklistable
                     */
                    function _unBlacklist(address _account) internal override {
                        _setBlacklistState(_account, false);
                    }
                    /**
                     * @dev Helper method that sets the blacklist state of an account.
                     * @param _account         The address of the account.
                     * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
                     */
                    function _setBlacklistState(address _account, bool _shouldBlacklist)
                        internal
                        virtual
                    {
                        _deprecatedBlacklisted[_account] = _shouldBlacklist;
                    }
                    /**
                     * @dev Helper method that sets the balance of an account.
                     * @param _account The address of the account.
                     * @param _balance The new fiat token balance of the account.
                     */
                    function _setBalance(address _account, uint256 _balance) internal virtual {
                        balanceAndBlacklistStates[_account] = _balance;
                    }
                    /**
                     * @inheritdoc Blacklistable
                     */
                    function _isBlacklisted(address _account)
                        internal
                        virtual
                        override
                        view
                        returns (bool)
                    {
                        return _deprecatedBlacklisted[_account];
                    }
                    /**
                     * @dev Helper method to obtain the balance of an account.
                     * @param _account  The address of the account.
                     * @return          The fiat token balance of the account.
                     */
                    function _balanceOf(address _account)
                        internal
                        virtual
                        view
                        returns (uint256)
                    {
                        return balanceAndBlacklistStates[_account];
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { Ownable } from "./Ownable.sol";
                /**
                 * @title Blacklistable Token
                 * @dev Allows accounts to be blacklisted by a "blacklister" role
                 */
                abstract contract Blacklistable is Ownable {
                    address public blacklister;
                    mapping(address => bool) internal _deprecatedBlacklisted;
                    event Blacklisted(address indexed _account);
                    event UnBlacklisted(address indexed _account);
                    event BlacklisterChanged(address indexed newBlacklister);
                    /**
                     * @dev Throws if called by any account other than the blacklister.
                     */
                    modifier onlyBlacklister() {
                        require(
                            msg.sender == blacklister,
                            "Blacklistable: caller is not the blacklister"
                        );
                        _;
                    }
                    /**
                     * @dev Throws if argument account is blacklisted.
                     * @param _account The address to check.
                     */
                    modifier notBlacklisted(address _account) {
                        require(
                            !_isBlacklisted(_account),
                            "Blacklistable: account is blacklisted"
                        );
                        _;
                    }
                    /**
                     * @notice Checks if account is blacklisted.
                     * @param _account The address to check.
                     * @return True if the account is blacklisted, false if the account is not blacklisted.
                     */
                    function isBlacklisted(address _account) external view returns (bool) {
                        return _isBlacklisted(_account);
                    }
                    /**
                     * @notice Adds account to blacklist.
                     * @param _account The address to blacklist.
                     */
                    function blacklist(address _account) external onlyBlacklister {
                        _blacklist(_account);
                        emit Blacklisted(_account);
                    }
                    /**
                     * @notice Removes account from blacklist.
                     * @param _account The address to remove from the blacklist.
                     */
                    function unBlacklist(address _account) external onlyBlacklister {
                        _unBlacklist(_account);
                        emit UnBlacklisted(_account);
                    }
                    /**
                     * @notice Updates the blacklister address.
                     * @param _newBlacklister The address of the new blacklister.
                     */
                    function updateBlacklister(address _newBlacklister) external onlyOwner {
                        require(
                            _newBlacklister != address(0),
                            "Blacklistable: new blacklister is the zero address"
                        );
                        blacklister = _newBlacklister;
                        emit BlacklisterChanged(blacklister);
                    }
                    /**
                     * @dev Checks if account is blacklisted.
                     * @param _account The address to check.
                     * @return true if the account is blacklisted, false otherwise.
                     */
                    function _isBlacklisted(address _account)
                        internal
                        virtual
                        view
                        returns (bool);
                    /**
                     * @dev Helper method that blacklists an account.
                     * @param _account The address to blacklist.
                     */
                    function _blacklist(address _account) internal virtual;
                    /**
                     * @dev Helper method that unblacklists an account.
                     * @param _account The address to unblacklist.
                     */
                    function _unBlacklist(address _account) internal virtual;
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                abstract contract AbstractFiatTokenV1 is IERC20 {
                    function _approve(
                        address owner,
                        address spender,
                        uint256 value
                    ) internal virtual;
                    function _transfer(
                        address from,
                        address to,
                        uint256 value
                    ) internal virtual;
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { Ownable } from "../v1/Ownable.sol";
                import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
                contract Rescuable is Ownable {
                    using SafeERC20 for IERC20;
                    address private _rescuer;
                    event RescuerChanged(address indexed newRescuer);
                    /**
                     * @notice Returns current rescuer
                     * @return Rescuer's address
                     */
                    function rescuer() external view returns (address) {
                        return _rescuer;
                    }
                    /**
                     * @notice Revert if called by any account other than the rescuer.
                     */
                    modifier onlyRescuer() {
                        require(msg.sender == _rescuer, "Rescuable: caller is not the rescuer");
                        _;
                    }
                    /**
                     * @notice Rescue ERC20 tokens locked up in this contract.
                     * @param tokenContract ERC20 token contract address
                     * @param to        Recipient address
                     * @param amount    Amount to withdraw
                     */
                    function rescueERC20(
                        IERC20 tokenContract,
                        address to,
                        uint256 amount
                    ) external onlyRescuer {
                        tokenContract.safeTransfer(to, amount);
                    }
                    /**
                     * @notice Updates the rescuer address.
                     * @param newRescuer The address of the new rescuer.
                     */
                    function updateRescuer(address newRescuer) external onlyOwner {
                        require(
                            newRescuer != address(0),
                            "Rescuable: new rescuer is the zero address"
                        );
                        _rescuer = newRescuer;
                        emit RescuerChanged(newRescuer);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { FiatTokenV1 } from "../v1/FiatTokenV1.sol";
                import { Rescuable } from "./Rescuable.sol";
                /**
                 * @title FiatTokenV1_1
                 * @dev ERC20 Token backed by fiat reserves
                 */
                contract FiatTokenV1_1 is FiatTokenV1, Rescuable {
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                import { ECRecover } from "./ECRecover.sol";
                import { IERC1271 } from "../interface/IERC1271.sol";
                /**
                 * @dev Signature verification helper that can be used instead of `ECRecover.recover` to seamlessly support both ECDSA
                 * signatures from externally owned accounts (EOAs) as well as ERC1271 signatures from smart contract wallets.
                 *
                 * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/SignatureChecker.sol
                 */
                library SignatureChecker {
                    /**
                     * @dev Checks if a signature is valid for a given signer and data hash. If the signer is a smart contract, the
                     * signature is validated against that smart contract using ERC1271, otherwise it's validated using `ECRecover.recover`.
                     * @param signer        Address of the claimed signer
                     * @param digest        Keccak-256 hash digest of the signed message
                     * @param signature     Signature byte array associated with hash
                     */
                    function isValidSignatureNow(
                        address signer,
                        bytes32 digest,
                        bytes memory signature
                    ) external view returns (bool) {
                        if (!isContract(signer)) {
                            return ECRecover.recover(digest, signature) == signer;
                        }
                        return isValidERC1271SignatureNow(signer, digest, signature);
                    }
                    /**
                     * @dev Checks if a signature is valid for a given signer and data hash. The signature is validated
                     * against the signer smart contract using ERC1271.
                     * @param signer        Address of the claimed signer
                     * @param digest        Keccak-256 hash digest of the signed message
                     * @param signature     Signature byte array associated with hash
                     *
                     * NOTE: Unlike ECDSA signatures, contract signatures are revocable, and the outcome of this function can thus
                     * change through time. It could return true at block N and false at block N+1 (or the opposite).
                     */
                    function isValidERC1271SignatureNow(
                        address signer,
                        bytes32 digest,
                        bytes memory signature
                    ) internal view returns (bool) {
                        (bool success, bytes memory result) = signer.staticcall(
                            abi.encodeWithSelector(
                                IERC1271.isValidSignature.selector,
                                digest,
                                signature
                            )
                        );
                        return (success &&
                            result.length >= 32 &&
                            abi.decode(result, (bytes32)) ==
                            bytes32(IERC1271.isValidSignature.selector));
                    }
                    /**
                     * @dev Checks if the input address is a smart contract.
                     */
                    function isContract(address addr) internal view returns (bool) {
                        uint256 size;
                        assembly {
                            size := extcodesize(addr)
                        }
                        return size > 0;
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                /**
                 * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
                 *
                 * The library provides methods for generating a hash of a message that conforms to the
                 * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
                 * specifications.
                 */
                library MessageHashUtils {
                    /**
                     * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
                     * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/MessageHashUtils.sol
                     *
                     * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
                     * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the
                     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
                     *
                     * @param domainSeparator    Domain separator
                     * @param structHash         Hashed EIP-712 data struct
                     * @return digest            The keccak256 digest of an EIP-712 typed data
                     */
                    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash)
                        internal
                        pure
                        returns (bytes32 digest)
                    {
                        assembly {
                            let ptr := mload(0x40)
                            mstore(ptr, "\\x19\\x01")
                            mstore(add(ptr, 0x02), domainSeparator)
                            mstore(add(ptr, 0x22), structHash)
                            digest := keccak256(ptr, 0x42)
                        }
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                /**
                 * @title EIP712
                 * @notice A library that provides EIP712 helper functions
                 */
                library EIP712 {
                    /**
                     * @notice Make EIP712 domain separator
                     * @param name      Contract name
                     * @param version   Contract version
                     * @param chainId   Blockchain ID
                     * @return Domain separator
                     */
                    function makeDomainSeparator(
                        string memory name,
                        string memory version,
                        uint256 chainId
                    ) internal view returns (bytes32) {
                        return
                            keccak256(
                                abi.encode(
                                    // keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)")
                                    0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                                    keccak256(bytes(name)),
                                    keccak256(bytes(version)),
                                    chainId,
                                    address(this)
                                )
                            );
                    }
                    /**
                     * @notice Make EIP712 domain separator
                     * @param name      Contract name
                     * @param version   Contract version
                     * @return Domain separator
                     */
                    function makeDomainSeparator(string memory name, string memory version)
                        internal
                        view
                        returns (bytes32)
                    {
                        uint256 chainId;
                        assembly {
                            chainId := chainid()
                        }
                        return makeDomainSeparator(name, version, chainId);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                /**
                 * @title ECRecover
                 * @notice A library that provides a safe ECDSA recovery function
                 */
                library ECRecover {
                    /**
                     * @notice Recover signer's address from a signed message
                     * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/65e4ffde586ec89af3b7e9140bdc9235d1254853/contracts/cryptography/ECDSA.sol
                     * Modifications: Accept v, r, and s as separate arguments
                     * @param digest    Keccak-256 hash digest of the signed message
                     * @param v         v of the signature
                     * @param r         r of the signature
                     * @param s         s of the signature
                     * @return Signer address
                     */
                    function recover(
                        bytes32 digest,
                        uint8 v,
                        bytes32 r,
                        bytes32 s
                    ) internal pure returns (address) {
                        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
                        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
                        // the valid range for s in (281): 0 < s < secp256k1n ÷ 2 + 1, and for v in (282): v ∈ {27, 28}. Most
                        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
                        //
                        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
                        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
                        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
                        // these malleable signatures as well.
                        if (
                            uint256(s) >
                            0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0
                        ) {
                            revert("ECRecover: invalid signature 's' value");
                        }
                        if (v != 27 && v != 28) {
                            revert("ECRecover: invalid signature 'v' value");
                        }
                        // If the signature is valid (and not malleable), return the signer address
                        address signer = ecrecover(digest, v, r, s);
                        require(signer != address(0), "ECRecover: invalid signature");
                        return signer;
                    }
                    /**
                     * @notice Recover signer's address from a signed message
                     * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/0053ee040a7ff1dbc39691c9e67a69f564930a88/contracts/utils/cryptography/ECDSA.sol
                     * @param digest    Keccak-256 hash digest of the signed message
                     * @param signature Signature byte array associated with hash
                     * @return Signer address
                     */
                    function recover(bytes32 digest, bytes memory signature)
                        internal
                        pure
                        returns (address)
                    {
                        require(signature.length == 65, "ECRecover: invalid signature length");
                        bytes32 r;
                        bytes32 s;
                        uint8 v;
                        // ecrecover takes the signature parameters, and the only way to get them
                        // currently is to use assembly.
                        /// @solidity memory-safe-assembly
                        assembly {
                            r := mload(add(signature, 0x20))
                            s := mload(add(signature, 0x40))
                            v := byte(0, mload(add(signature, 0x60)))
                        }
                        return recover(digest, v, r, s);
                    }
                }
                /**
                 * SPDX-License-Identifier: Apache-2.0
                 *
                 * Copyright (c) 2023, Circle Internet Financial, LLC.
                 *
                 * Licensed under the Apache License, Version 2.0 (the "License");
                 * you may not use this file except in compliance with the License.
                 * You may obtain a copy of the License at
                 *
                 * http://www.apache.org/licenses/LICENSE-2.0
                 *
                 * Unless required by applicable law or agreed to in writing, software
                 * distributed under the License is distributed on an "AS IS" BASIS,
                 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
                 * See the License for the specific language governing permissions and
                 * limitations under the License.
                 */
                pragma solidity 0.6.12;
                /**
                 * @dev Interface of the ERC1271 standard signature validation method for
                 * contracts as defined in https://eips.ethereum.org/EIPS/eip-1271[ERC-1271].
                 */
                interface IERC1271 {
                    /**
                     * @dev Should return whether the signature provided is valid for the provided data
                     * @param hash          Hash of the data to be signed
                     * @param signature     Signature byte array associated with the provided data hash
                     * @return magicValue   bytes4 magic value 0x1626ba7e when function passes
                     */
                    function isValidSignature(bytes32 hash, bytes memory signature)
                        external
                        view
                        returns (bytes4 magicValue);
                }