ETH Price: $2,546.41 (+0.05%)

Transaction Decoder

Block:
21531392 at Jan-01-2025 06:25:23 PM +UTC
Transaction Fee:
0.005475198416072275 ETH $13.94
Gas Used:
166,013 Gas / 32.980540175 Gwei

Emitted Events:

7 WETH9.Transfer( src=UniswapV3Pool, dst=[Receiver] 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f, wad=431425152409428198 )
8 TransparentUpgradeableProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x000000000000000000000000251b298dbd044e6f795083d90d21469cd24f5a80, 0x000000000000000000000000e092769bc1fa5262d4f48353f90890dcc339bf80, 000000000000000000000000000000000000000000000000473c1f38b12f1042 )
9 UniswapV3Pool.Swap( sender=[Receiver] 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f, recipient=[Receiver] 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f, amount0=5133012003646804034, amount1=-431425152409428198, sqrtPriceX96=23079718776306784530836129283, liquidity=3278682131720324401262, tick=-24669 )
10 WETH9.Withdrawal( src=[Receiver] 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f, wad=431425152409428198 )
11 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.0x24c07d9526daec95fb72ea7cecc4cfc860c60f857757a60e897a08c0cf534e08( 0x24c07d9526daec95fb72ea7cecc4cfc860c60f857757a60e897a08c0cf534e08, 0000000000000000000000000000000000000000000000000000000000000000, 0000000000000000000000000000000000000000000000000000000000000000 )
12 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.0xbb9b838bf8ee8d0eb7d0a37afd5cdd707661780ede55ba2c8384368ca0c9db16( 0xbb9b838bf8ee8d0eb7d0a37afd5cdd707661780ede55ba2c8384368ca0c9db16, 000000000000000000000000251b298dbd044e6f795083d90d21469cd24f5a80, 00000000000000000000000000000000000000000000000005ed6719f6f7a79d )
13 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.0x3310ea14266209db2516cc8eae3e55230d2376e02becfb8094363ad465b7794c( 0x3310ea14266209db2516cc8eae3e55230d2376e02becfb8094363ad465b7794c, 000000000000000000000000251b298dbd044e6f795083d90d21469cd24f5a80, 000000000000000000000000000000000000000000000000000f53c9f590b949 )

Account State Difference:

  Address   Before After State Difference Code
0x251B298D...CD24f5A80
0.02750364900495767 Eth
Nonce: 886
0.449139351474219312 Eth
Nonce: 887
0.421635702469261642
0x39D5313C...6145a9bd2
0x3A10dC1A...ff11a981F 8.725379616376603631 Eth8.729693867900697912 Eth0.004314251524094281
(beaverbuild)
7.031130407705053821 Eth7.032790537705053821 Eth0.00166013
0xC02aaA39...83C756Cc2 3,033,116.548287386325254749 Eth3,033,116.116862233915826551 Eth0.431425152409428198
0xe092769b...cc339BF80
(Uniswap V3: EMP 2)

Execution Trace

0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.3a571299( )
  • 0xb47408ae708c1830d44480eea7a1cf598084f1ff.3a571299( )
    • WETH9.balanceOf( 0x3A10dC1A145dA500d5Fba38b9EC49C8ff11a981F ) => ( 0 )
    • UniswapV3Pool.swap( recipient=0x3A10dC1A145dA500d5Fba38b9EC49C8ff11a981F, zeroForOne=True, amountSpecified=5133012003646804034, sqrtPriceLimitX96=4295128740, data=0x00000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000040000000000000000000000000251B298DBD044E6F795083D90D21469CD24F5A80000000000000000000000000000000000000000000000000000000000000002B39D5313C3750140E5042887413BA8AA6145A9BD2002710C02AAA39B223FE8D0A0E5C4F27EAD9083C756CC2000000000000000000000000000000000000000000 ) => ( amount0=5133012003646804034, amount1=-431425152409428198 )
      • WETH9.transfer( dst=0x3A10dC1A145dA500d5Fba38b9EC49C8ff11a981F, wad=431425152409428198 ) => ( True )
      • TransparentUpgradeableProxy.70a08231( )
        • Empyreal.balanceOf( account=0xe092769bc1fa5262D4f48353f90890Dcc339BF80 ) => ( 8604282050694113590218 )
        • 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.fa461e33( )
          • 0xb47408ae708c1830d44480eea7a1cf598084f1ff.fa461e33( )
            • TransparentUpgradeableProxy.23b872dd( )
              • Empyreal.transferFrom( from=0x251B298DBD044E6F795083d90D21469CD24f5A80, to=0xe092769bc1fa5262D4f48353f90890Dcc339BF80, value=5133012003646804034 ) => ( True )
              • TransparentUpgradeableProxy.70a08231( )
                • Empyreal.balanceOf( account=0xe092769bc1fa5262D4f48353f90890Dcc339BF80 ) => ( 8609415062697760394252 )
                • WETH9.balanceOf( 0x3A10dC1A145dA500d5Fba38b9EC49C8ff11a981F ) => ( 431425152409428198 )
                • WETH9.withdraw( wad=431425152409428198 )
                  • ETH 0.431425152409428198 0x3a10dc1a145da500d5fba38b9ec49c8ff11a981f.CALL( )
                    • ETH 0.431425152409428198 0xb47408ae708c1830d44480eea7a1cf598084f1ff.DELEGATECALL( )
                    • ETH 0.427110900885333917 0x251b298dbd044e6f795083d90d21469cd24f5a80.CALL( )
                      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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                      */

                      File 3 of 4: TransparentUpgradeableProxy
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
                      pragma solidity ^0.8.20;
                      import {Context} from "../utils/Context.sol";
                      /**
                       * @dev Contract module which provides a basic access control mechanism, where
                       * there is an account (an owner) that can be granted exclusive access to
                       * specific functions.
                       *
                       * The initial owner is set to the address provided by the deployer. This can
                       * later be changed with {transferOwnership}.
                       *
                       * This module is used through inheritance. It will make available the modifier
                       * `onlyOwner`, which can be applied to your functions to restrict their use to
                       * the owner.
                       */
                      abstract contract Ownable is Context {
                          address private _owner;
                          /**
                           * @dev The caller account is not authorized to perform an operation.
                           */
                          error OwnableUnauthorizedAccount(address account);
                          /**
                           * @dev The owner is not a valid owner account. (eg. `address(0)`)
                           */
                          error OwnableInvalidOwner(address owner);
                          event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                          /**
                           * @dev Initializes the contract setting the address provided by the deployer as the initial owner.
                           */
                          constructor(address initialOwner) {
                              if (initialOwner == address(0)) {
                                  revert OwnableInvalidOwner(address(0));
                              }
                              _transferOwnership(initialOwner);
                          }
                          /**
                           * @dev Throws if called by any account other than the owner.
                           */
                          modifier onlyOwner() {
                              _checkOwner();
                              _;
                          }
                          /**
                           * @dev Returns the address of the current owner.
                           */
                          function owner() public view virtual returns (address) {
                              return _owner;
                          }
                          /**
                           * @dev Throws if the sender is not the owner.
                           */
                          function _checkOwner() internal view virtual {
                              if (owner() != _msgSender()) {
                                  revert OwnableUnauthorizedAccount(_msgSender());
                              }
                          }
                          /**
                           * @dev Leaves the contract without owner. It will not be possible to call
                           * `onlyOwner` functions. Can only be called by the current owner.
                           *
                           * NOTE: Renouncing ownership will leave the contract without an owner,
                           * thereby disabling any functionality that is only available to the owner.
                           */
                          function renounceOwnership() public virtual onlyOwner {
                              _transferOwnership(address(0));
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Can only be called by the current owner.
                           */
                          function transferOwnership(address newOwner) public virtual onlyOwner {
                              if (newOwner == address(0)) {
                                  revert OwnableInvalidOwner(address(0));
                              }
                              _transferOwnership(newOwner);
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Internal function without access restriction.
                           */
                          function _transferOwnership(address newOwner) internal virtual {
                              address oldOwner = _owner;
                              _owner = newOwner;
                              emit OwnershipTransferred(oldOwner, newOwner);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC1967.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.
                       */
                      interface IERC1967 {
                          /**
                           * @dev Emitted when the implementation is upgraded.
                           */
                          event Upgraded(address indexed implementation);
                          /**
                           * @dev Emitted when the admin account has changed.
                           */
                          event AdminChanged(address previousAdmin, address newAdmin);
                          /**
                           * @dev Emitted when the beacon is changed.
                           */
                          event BeaconUpgraded(address indexed beacon);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/beacon/IBeacon.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev This is the interface that {BeaconProxy} expects of its beacon.
                       */
                      interface IBeacon {
                          /**
                           * @dev Must return an address that can be used as a delegate call target.
                           *
                           * {UpgradeableBeacon} will check that this address is a contract.
                           */
                          function implementation() external view returns (address);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/ERC1967/ERC1967Proxy.sol)
                      pragma solidity ^0.8.20;
                      import {Proxy} from "../Proxy.sol";
                      import {ERC1967Utils} from "./ERC1967Utils.sol";
                      /**
                       * @dev This contract implements an upgradeable proxy. It is upgradeable because calls are delegated to an
                       * implementation address that can be changed. This address is stored in storage in the location specified by
                       * https://eips.ethereum.org/EIPS/eip-1967[EIP1967], so that it doesn't conflict with the storage layout of the
                       * implementation behind the proxy.
                       */
                      contract ERC1967Proxy is Proxy {
                          /**
                           * @dev Initializes the upgradeable proxy with an initial implementation specified by `implementation`.
                           *
                           * If `_data` is nonempty, it's used as data in a delegate call to `implementation`. This will typically be an
                           * encoded function call, and allows initializing the storage of the proxy like a Solidity constructor.
                           *
                           * Requirements:
                           *
                           * - If `data` is empty, `msg.value` must be zero.
                           */
                          constructor(address implementation, bytes memory _data) payable {
                              ERC1967Utils.upgradeToAndCall(implementation, _data);
                          }
                          /**
                           * @dev Returns the current implementation address.
                           *
                           * TIP: To get this value clients can read directly from the storage slot shown below (specified by EIP1967) using
                           * the https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.
                           * `0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc`
                           */
                          function _implementation() internal view virtual override returns (address) {
                              return ERC1967Utils.getImplementation();
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/ERC1967/ERC1967Utils.sol)
                      pragma solidity ^0.8.20;
                      import {IBeacon} from "../beacon/IBeacon.sol";
                      import {Address} from "../../utils/Address.sol";
                      import {StorageSlot} from "../../utils/StorageSlot.sol";
                      /**
                       * @dev This abstract contract provides getters and event emitting update functions for
                       * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
                       */
                      library ERC1967Utils {
                          // We re-declare ERC-1967 events here because they can't be used directly from IERC1967.
                          // This will be fixed in Solidity 0.8.21. At that point we should remove these events.
                          /**
                           * @dev Emitted when the implementation is upgraded.
                           */
                          event Upgraded(address indexed implementation);
                          /**
                           * @dev Emitted when the admin account has changed.
                           */
                          event AdminChanged(address previousAdmin, address newAdmin);
                          /**
                           * @dev Emitted when the beacon is changed.
                           */
                          event BeaconUpgraded(address indexed beacon);
                          /**
                           * @dev Storage slot with the address of the current implementation.
                           * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1.
                           */
                          // solhint-disable-next-line private-vars-leading-underscore
                          bytes32 internal constant IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
                          /**
                           * @dev The `implementation` of the proxy is invalid.
                           */
                          error ERC1967InvalidImplementation(address implementation);
                          /**
                           * @dev The `admin` of the proxy is invalid.
                           */
                          error ERC1967InvalidAdmin(address admin);
                          /**
                           * @dev The `beacon` of the proxy is invalid.
                           */
                          error ERC1967InvalidBeacon(address beacon);
                          /**
                           * @dev An upgrade function sees `msg.value > 0` that may be lost.
                           */
                          error ERC1967NonPayable();
                          /**
                           * @dev Returns the current implementation address.
                           */
                          function getImplementation() internal view returns (address) {
                              return StorageSlot.getAddressSlot(IMPLEMENTATION_SLOT).value;
                          }
                          /**
                           * @dev Stores a new address in the EIP1967 implementation slot.
                           */
                          function _setImplementation(address newImplementation) private {
                              if (newImplementation.code.length == 0) {
                                  revert ERC1967InvalidImplementation(newImplementation);
                              }
                              StorageSlot.getAddressSlot(IMPLEMENTATION_SLOT).value = newImplementation;
                          }
                          /**
                           * @dev Performs implementation upgrade with additional setup call if data is nonempty.
                           * This function is payable only if the setup call is performed, otherwise `msg.value` is rejected
                           * to avoid stuck value in the contract.
                           *
                           * Emits an {IERC1967-Upgraded} event.
                           */
                          function upgradeToAndCall(address newImplementation, bytes memory data) internal {
                              _setImplementation(newImplementation);
                              emit Upgraded(newImplementation);
                              if (data.length > 0) {
                                  Address.functionDelegateCall(newImplementation, data);
                              } else {
                                  _checkNonPayable();
                              }
                          }
                          /**
                           * @dev Storage slot with the admin of the contract.
                           * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1.
                           */
                          // solhint-disable-next-line private-vars-leading-underscore
                          bytes32 internal constant ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
                          /**
                           * @dev Returns the current admin.
                           *
                           * TIP: To get this value clients can read directly from the storage slot shown below (specified by EIP1967) using
                           * the https://eth.wiki/json-rpc/API#eth_getstorageat[`eth_getStorageAt`] RPC call.
                           * `0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103`
                           */
                          function getAdmin() internal view returns (address) {
                              return StorageSlot.getAddressSlot(ADMIN_SLOT).value;
                          }
                          /**
                           * @dev Stores a new address in the EIP1967 admin slot.
                           */
                          function _setAdmin(address newAdmin) private {
                              if (newAdmin == address(0)) {
                                  revert ERC1967InvalidAdmin(address(0));
                              }
                              StorageSlot.getAddressSlot(ADMIN_SLOT).value = newAdmin;
                          }
                          /**
                           * @dev Changes the admin of the proxy.
                           *
                           * Emits an {IERC1967-AdminChanged} event.
                           */
                          function changeAdmin(address newAdmin) internal {
                              emit AdminChanged(getAdmin(), newAdmin);
                              _setAdmin(newAdmin);
                          }
                          /**
                           * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
                           * This is the keccak-256 hash of "eip1967.proxy.beacon" subtracted by 1.
                           */
                          // solhint-disable-next-line private-vars-leading-underscore
                          bytes32 internal constant BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;
                          /**
                           * @dev Returns the current beacon.
                           */
                          function getBeacon() internal view returns (address) {
                              return StorageSlot.getAddressSlot(BEACON_SLOT).value;
                          }
                          /**
                           * @dev Stores a new beacon in the EIP1967 beacon slot.
                           */
                          function _setBeacon(address newBeacon) private {
                              if (newBeacon.code.length == 0) {
                                  revert ERC1967InvalidBeacon(newBeacon);
                              }
                              StorageSlot.getAddressSlot(BEACON_SLOT).value = newBeacon;
                              address beaconImplementation = IBeacon(newBeacon).implementation();
                              if (beaconImplementation.code.length == 0) {
                                  revert ERC1967InvalidImplementation(beaconImplementation);
                              }
                          }
                          /**
                           * @dev Change the beacon and trigger a setup call if data is nonempty.
                           * This function is payable only if the setup call is performed, otherwise `msg.value` is rejected
                           * to avoid stuck value in the contract.
                           *
                           * Emits an {IERC1967-BeaconUpgraded} event.
                           *
                           * CAUTION: Invoking this function has no effect on an instance of {BeaconProxy} since v5, since
                           * it uses an immutable beacon without looking at the value of the ERC-1967 beacon slot for
                           * efficiency.
                           */
                          function upgradeBeaconToAndCall(address newBeacon, bytes memory data) internal {
                              _setBeacon(newBeacon);
                              emit BeaconUpgraded(newBeacon);
                              if (data.length > 0) {
                                  Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);
                              } else {
                                  _checkNonPayable();
                              }
                          }
                          /**
                           * @dev Reverts if `msg.value` is not zero. It can be used to avoid `msg.value` stuck in the contract
                           * if an upgrade doesn't perform an initialization call.
                           */
                          function _checkNonPayable() private {
                              if (msg.value > 0) {
                                  revert ERC1967NonPayable();
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/Proxy.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
                       * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
                       * be specified by overriding the virtual {_implementation} function.
                       *
                       * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
                       * different contract through the {_delegate} function.
                       *
                       * The success and return data of the delegated call will be returned back to the caller of the proxy.
                       */
                      abstract contract Proxy {
                          /**
                           * @dev Delegates the current call to `implementation`.
                           *
                           * This function does not return to its internal call site, it will return directly to the external caller.
                           */
                          function _delegate(address implementation) internal virtual {
                              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 This is a virtual function that should be overridden so it returns the address to which the fallback
                           * function and {_fallback} should delegate.
                           */
                          function _implementation() internal view virtual returns (address);
                          /**
                           * @dev Delegates the current call to the address returned by `_implementation()`.
                           *
                           * This function does not return to its internal call site, it will return directly to the external caller.
                           */
                          function _fallback() internal virtual {
                              _delegate(_implementation());
                          }
                          /**
                           * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if no other
                           * function in the contract matches the call data.
                           */
                          fallback() external payable virtual {
                              _fallback();
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/transparent/ProxyAdmin.sol)
                      pragma solidity ^0.8.20;
                      import {ITransparentUpgradeableProxy} from "./TransparentUpgradeableProxy.sol";
                      import {Ownable} from "../../access/Ownable.sol";
                      /**
                       * @dev This is an auxiliary contract meant to be assigned as the admin of a {TransparentUpgradeableProxy}. For an
                       * explanation of why you would want to use this see the documentation for {TransparentUpgradeableProxy}.
                       */
                      contract ProxyAdmin is Ownable {
                          /**
                           * @dev The version of the upgrade interface of the contract. If this getter is missing, both `upgrade(address)`
                           * and `upgradeAndCall(address,bytes)` are present, and `upgradeTo` must be used if no function should be called,
                           * while `upgradeAndCall` will invoke the `receive` function if the second argument is the empty byte string.
                           * If the getter returns `"5.0.0"`, only `upgradeAndCall(address,bytes)` is present, and the second argument must
                           * be the empty byte string if no function should be called, making it impossible to invoke the `receive` function
                           * during an upgrade.
                           */
                          string public constant UPGRADE_INTERFACE_VERSION = "5.0.0";
                          /**
                           * @dev Sets the initial owner who can perform upgrades.
                           */
                          constructor(address initialOwner) Ownable(initialOwner) {}
                          /**
                           * @dev Upgrades `proxy` to `implementation` and calls a function on the new implementation.
                           * See {TransparentUpgradeableProxy-_dispatchUpgradeToAndCall}.
                           *
                           * Requirements:
                           *
                           * - This contract must be the admin of `proxy`.
                           * - If `data` is empty, `msg.value` must be zero.
                           */
                          function upgradeAndCall(
                              ITransparentUpgradeableProxy proxy,
                              address implementation,
                              bytes memory data
                          ) public payable virtual onlyOwner {
                              proxy.upgradeToAndCall{value: msg.value}(implementation, data);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/transparent/TransparentUpgradeableProxy.sol)
                      pragma solidity ^0.8.20;
                      import {ERC1967Utils} from "../ERC1967/ERC1967Utils.sol";
                      import {ERC1967Proxy} from "../ERC1967/ERC1967Proxy.sol";
                      import {IERC1967} from "../../interfaces/IERC1967.sol";
                      import {ProxyAdmin} from "./ProxyAdmin.sol";
                      /**
                       * @dev Interface for {TransparentUpgradeableProxy}. In order to implement transparency, {TransparentUpgradeableProxy}
                       * does not implement this interface directly, and its upgradeability mechanism is implemented by an internal dispatch
                       * mechanism. The compiler is unaware that these functions are implemented by {TransparentUpgradeableProxy} and will not
                       * include them in the ABI so this interface must be used to interact with it.
                       */
                      interface ITransparentUpgradeableProxy is IERC1967 {
                          function upgradeToAndCall(address, bytes calldata) external payable;
                      }
                      /**
                       * @dev This contract implements a proxy that is upgradeable through an associated {ProxyAdmin} instance.
                       *
                       * To avoid https://medium.com/nomic-labs-blog/malicious-backdoors-in-ethereum-proxies-62629adf3357[proxy selector
                       * clashing], which can potentially be used in an attack, this contract uses the
                       * https://blog.openzeppelin.com/the-transparent-proxy-pattern/[transparent proxy pattern]. This pattern implies two
                       * things that go hand in hand:
                       *
                       * 1. If any account other than the admin calls the proxy, the call will be forwarded to the implementation, even if
                       * that call matches the {ITransparentUpgradeableProxy-upgradeToAndCall} function exposed by the proxy itself.
                       * 2. If the admin calls the proxy, it can call the `upgradeToAndCall` function but any other call won't be forwarded to
                       * the implementation. If the admin tries to call a function on the implementation it will fail with an error indicating
                       * the proxy admin cannot fallback to the target implementation.
                       *
                       * These properties mean that the admin account can only be used for upgrading the proxy, so it's best if it's a
                       * dedicated account that is not used for anything else. This will avoid headaches due to sudden errors when trying to
                       * call a function from the proxy implementation. For this reason, the proxy deploys an instance of {ProxyAdmin} and
                       * allows upgrades only if they come through it. You should think of the `ProxyAdmin` instance as the administrative
                       * interface of the proxy, including the ability to change who can trigger upgrades by transferring ownership.
                       *
                       * NOTE: The real interface of this proxy is that defined in `ITransparentUpgradeableProxy`. This contract does not
                       * inherit from that interface, and instead `upgradeToAndCall` is implicitly implemented using a custom dispatch
                       * mechanism in `_fallback`. Consequently, the compiler will not produce an ABI for this contract. This is necessary to
                       * fully implement transparency without decoding reverts caused by selector clashes between the proxy and the
                       * implementation.
                       *
                       * NOTE: This proxy does not inherit from {Context} deliberately. The {ProxyAdmin} of this contract won't send a
                       * meta-transaction in any way, and any other meta-transaction setup should be made in the implementation contract.
                       *
                       * IMPORTANT: This contract avoids unnecessary storage reads by setting the admin only during construction as an
                       * immutable variable, preventing any changes thereafter. However, the admin slot defined in ERC-1967 can still be
                       * overwritten by the implementation logic pointed to by this proxy. In such cases, the contract may end up in an
                       * undesirable state where the admin slot is different from the actual admin.
                       *
                       * WARNING: It is not recommended to extend this contract to add additional external functions. If you do so, the
                       * compiler will not check that there are no selector conflicts, due to the note above. A selector clash between any new
                       * function and the functions declared in {ITransparentUpgradeableProxy} will be resolved in favor of the new one. This
                       * could render the `upgradeToAndCall` function inaccessible, preventing upgradeability and compromising transparency.
                       */
                      contract TransparentUpgradeableProxy is ERC1967Proxy {
                          // An immutable address for the admin to avoid unnecessary SLOADs before each call
                          // at the expense of removing the ability to change the admin once it's set.
                          // This is acceptable if the admin is always a ProxyAdmin instance or similar contract
                          // with its own ability to transfer the permissions to another account.
                          address private immutable _admin;
                          /**
                           * @dev The proxy caller is the current admin, and can't fallback to the proxy target.
                           */
                          error ProxyDeniedAdminAccess();
                          /**
                           * @dev Initializes an upgradeable proxy managed by an instance of a {ProxyAdmin} with an `initialOwner`,
                           * backed by the implementation at `_logic`, and optionally initialized with `_data` as explained in
                           * {ERC1967Proxy-constructor}.
                           */
                          constructor(address _logic, address initialOwner, bytes memory _data) payable ERC1967Proxy(_logic, _data) {
                              _admin = address(new ProxyAdmin(initialOwner));
                              // Set the storage value and emit an event for ERC-1967 compatibility
                              ERC1967Utils.changeAdmin(_proxyAdmin());
                          }
                          /**
                           * @dev Returns the admin of this proxy.
                           */
                          function _proxyAdmin() internal virtual returns (address) {
                              return _admin;
                          }
                          /**
                           * @dev If caller is the admin process the call internally, otherwise transparently fallback to the proxy behavior.
                           */
                          function _fallback() internal virtual override {
                              if (msg.sender == _proxyAdmin()) {
                                  if (msg.sig != ITransparentUpgradeableProxy.upgradeToAndCall.selector) {
                                      revert ProxyDeniedAdminAccess();
                                  } else {
                                      _dispatchUpgradeToAndCall();
                                  }
                              } else {
                                  super._fallback();
                              }
                          }
                          /**
                           * @dev Upgrade the implementation of the proxy. See {ERC1967Utils-upgradeToAndCall}.
                           *
                           * Requirements:
                           *
                           * - If `data` is empty, `msg.value` must be zero.
                           */
                          function _dispatchUpgradeToAndCall() private {
                              (address newImplementation, bytes memory data) = abi.decode(msg.data[4:], (address, bytes));
                              ERC1967Utils.upgradeToAndCall(newImplementation, data);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Address.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Collection of functions related to the address type
                       */
                      library Address {
                          /**
                           * @dev The ETH balance of the account is not enough to perform the operation.
                           */
                          error AddressInsufficientBalance(address account);
                          /**
                           * @dev There's no code at `target` (it is not a contract).
                           */
                          error AddressEmptyCode(address target);
                          /**
                           * @dev A call to an address target failed. The target may have reverted.
                           */
                          error FailedInnerCall();
                          /**
                           * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                           * `recipient`, forwarding all available gas and reverting on errors.
                           *
                           * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                           * of certain opcodes, possibly making contracts go over the 2300 gas limit
                           * imposed by `transfer`, making them unable to receive funds via
                           * `transfer`. {sendValue} removes this limitation.
                           *
                           * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                           *
                           * IMPORTANT: because control is transferred to `recipient`, care must be
                           * taken to not create reentrancy vulnerabilities. Consider using
                           * {ReentrancyGuard} or the
                           * https://solidity.readthedocs.io/en/v0.8.20/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                           */
                          function sendValue(address payable recipient, uint256 amount) internal {
                              if (address(this).balance < amount) {
                                  revert AddressInsufficientBalance(address(this));
                              }
                              (bool success, ) = recipient.call{value: amount}("");
                              if (!success) {
                                  revert FailedInnerCall();
                              }
                          }
                          /**
                           * @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 or custom error, it is bubbled
                           * up by this function (like regular Solidity function calls). However, if
                           * the call reverted with no returned reason, this function reverts with a
                           * {FailedInnerCall} error.
                           *
                           * 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.
                           */
                          function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                              return functionCallWithValue(target, data, 0);
                          }
                          /**
                           * @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`.
                           */
                          function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
                              if (address(this).balance < value) {
                                  revert AddressInsufficientBalance(address(this));
                              }
                              (bool success, bytes memory returndata) = target.call{value: value}(data);
                              return verifyCallResultFromTarget(target, success, returndata);
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                           * but performing a static call.
                           */
                          function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                              (bool success, bytes memory returndata) = target.staticcall(data);
                              return verifyCallResultFromTarget(target, success, returndata);
                          }
                          /**
                           * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                           * but performing a delegate call.
                           */
                          function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                              (bool success, bytes memory returndata) = target.delegatecall(data);
                              return verifyCallResultFromTarget(target, success, returndata);
                          }
                          /**
                           * @dev Tool to verify that a low level call to smart-contract was successful, and reverts if the target
                           * was not a contract or bubbling up the revert reason (falling back to {FailedInnerCall}) in case of an
                           * unsuccessful call.
                           */
                          function verifyCallResultFromTarget(
                              address target,
                              bool success,
                              bytes memory returndata
                          ) internal view returns (bytes memory) {
                              if (!success) {
                                  _revert(returndata);
                              } else {
                                  // only check if target is a contract if the call was successful and the return data is empty
                                  // otherwise we already know that it was a contract
                                  if (returndata.length == 0 && target.code.length == 0) {
                                      revert AddressEmptyCode(target);
                                  }
                                  return returndata;
                              }
                          }
                          /**
                           * @dev Tool to verify that a low level call was successful, and reverts if it wasn't, either by bubbling the
                           * revert reason or with a default {FailedInnerCall} error.
                           */
                          function verifyCallResult(bool success, bytes memory returndata) internal pure returns (bytes memory) {
                              if (!success) {
                                  _revert(returndata);
                              } else {
                                  return returndata;
                              }
                          }
                          /**
                           * @dev Reverts with returndata if present. Otherwise reverts with {FailedInnerCall}.
                           */
                          function _revert(bytes memory returndata) private pure {
                              // Look for revert reason and bubble it up if present
                              if (returndata.length > 0) {
                                  // The easiest way to bubble the revert reason is using memory via assembly
                                  /// @solidity memory-safe-assembly
                                  assembly {
                                      let returndata_size := mload(returndata)
                                      revert(add(32, returndata), returndata_size)
                                  }
                              } else {
                                  revert FailedInnerCall();
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Context.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Provides information about the current execution context, including the
                       * sender of the transaction and its data. While these are generally available
                       * via msg.sender and msg.data, they should not be accessed in such a direct
                       * manner, since when dealing with meta-transactions the account sending and
                       * paying for execution may not be the actual sender (as far as an application
                       * is concerned).
                       *
                       * This contract is only required for intermediate, library-like contracts.
                       */
                      abstract contract Context {
                          function _msgSender() internal view virtual returns (address) {
                              return msg.sender;
                          }
                          function _msgData() internal view virtual returns (bytes calldata) {
                              return msg.data;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/StorageSlot.sol)
                      // This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Library for reading and writing primitive types to specific storage slots.
                       *
                       * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
                       * This library helps with reading and writing to such slots without the need for inline assembly.
                       *
                       * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
                       *
                       * Example usage to set ERC1967 implementation slot:
                       * ```solidity
                       * contract ERC1967 {
                       *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
                       *
                       *     function _getImplementation() internal view returns (address) {
                       *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
                       *     }
                       *
                       *     function _setImplementation(address newImplementation) internal {
                       *         require(newImplementation.code.length > 0);
                       *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
                       *     }
                       * }
                       * ```
                       */
                      library StorageSlot {
                          struct AddressSlot {
                              address value;
                          }
                          struct BooleanSlot {
                              bool value;
                          }
                          struct Bytes32Slot {
                              bytes32 value;
                          }
                          struct Uint256Slot {
                              uint256 value;
                          }
                          struct StringSlot {
                              string value;
                          }
                          struct BytesSlot {
                              bytes value;
                          }
                          /**
                           * @dev Returns an `AddressSlot` with member `value` located at `slot`.
                           */
                          function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
                           */
                          function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
                           */
                          function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
                           */
                          function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `StringSlot` with member `value` located at `slot`.
                           */
                          function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
                           */
                          function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := store.slot
                              }
                          }
                          /**
                           * @dev Returns an `BytesSlot` with member `value` located at `slot`.
                           */
                          function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := slot
                              }
                          }
                          /**
                           * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
                           */
                          function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
                              /// @solidity memory-safe-assembly
                              assembly {
                                  r.slot := store.slot
                              }
                          }
                      }
                      

                      File 4 of 4: Empyreal
                      // SPDX-License-Identifier: Unlicense
                      /*
                       * @title Solidity Bytes Arrays Utils
                       * @author Gonçalo Sá <[email protected]>
                       *
                       * @dev Bytes tightly packed arrays utility library for ethereum contracts written in Solidity.
                       *      The library lets you concatenate, slice and type cast bytes arrays both in memory and storage.
                       */
                      pragma solidity >=0.8.0 <0.9.0;
                      library BytesLib {
                          function concat(bytes memory _preBytes, bytes memory _postBytes) internal pure returns (bytes memory) {
                              bytes memory tempBytes;
                              assembly {
                                  // Get a location of some free memory and store it in tempBytes as
                                  // Solidity does for memory variables.
                                  tempBytes := mload(0x40)
                                  // Store the length of the first bytes array at the beginning of
                                  // the memory for tempBytes.
                                  let length := mload(_preBytes)
                                  mstore(tempBytes, length)
                                  // Maintain a memory counter for the current write location in the
                                  // temp bytes array by adding the 32 bytes for the array length to
                                  // the starting location.
                                  let mc := add(tempBytes, 0x20)
                                  // Stop copying when the memory counter reaches the length of the
                                  // first bytes array.
                                  let end := add(mc, length)
                                  for {
                                      // Initialize a copy counter to the start of the _preBytes data,
                                      // 32 bytes into its memory.
                                      let cc := add(_preBytes, 0x20)
                                  } lt(mc, end) {
                                      // Increase both counters by 32 bytes each iteration.
                                      mc := add(mc, 0x20)
                                      cc := add(cc, 0x20)
                                  } {
                                      // Write the _preBytes data into the tempBytes memory 32 bytes
                                      // at a time.
                                      mstore(mc, mload(cc))
                                  }
                                  // Add the length of _postBytes to the current length of tempBytes
                                  // and store it as the new length in the first 32 bytes of the
                                  // tempBytes memory.
                                  length := mload(_postBytes)
                                  mstore(tempBytes, add(length, mload(tempBytes)))
                                  // Move the memory counter back from a multiple of 0x20 to the
                                  // actual end of the _preBytes data.
                                  mc := end
                                  // Stop copying when the memory counter reaches the new combined
                                  // length of the arrays.
                                  end := add(mc, length)
                                  for {
                                      let cc := add(_postBytes, 0x20)
                                  } lt(mc, end) {
                                      mc := add(mc, 0x20)
                                      cc := add(cc, 0x20)
                                  } {
                                      mstore(mc, mload(cc))
                                  }
                                  // Update the free-memory pointer by padding our last write location
                                  // to 32 bytes: add 31 bytes to the end of tempBytes to move to the
                                  // next 32 byte block, then round down to the nearest multiple of
                                  // 32. If the sum of the length of the two arrays is zero then add
                                  // one before rounding down to leave a blank 32 bytes (the length block with 0).
                                  mstore(
                                      0x40,
                                      and(
                                          add(add(end, iszero(add(length, mload(_preBytes)))), 31),
                                          not(31) // Round down to the nearest 32 bytes.
                                      )
                                  )
                              }
                              return tempBytes;
                          }
                          function concatStorage(bytes storage _preBytes, bytes memory _postBytes) internal {
                              assembly {
                                  // Read the first 32 bytes of _preBytes storage, which is the length
                                  // of the array. (We don't need to use the offset into the slot
                                  // because arrays use the entire slot.)
                                  let fslot := sload(_preBytes.slot)
                                  // Arrays of 31 bytes or less have an even value in their slot,
                                  // while longer arrays have an odd value. The actual length is
                                  // the slot divided by two for odd values, and the lowest order
                                  // byte divided by two for even values.
                                  // If the slot is even, bitwise and the slot with 255 and divide by
                                  // two to get the length. If the slot is odd, bitwise and the slot
                                  // with -1 and divide by two.
                                  let slength := div(and(fslot, sub(mul(0x100, iszero(and(fslot, 1))), 1)), 2)
                                  let mlength := mload(_postBytes)
                                  let newlength := add(slength, mlength)
                                  // slength can contain both the length and contents of the array
                                  // if length < 32 bytes so let's prepare for that
                                  // v. http://solidity.readthedocs.io/en/latest/miscellaneous.html#layout-of-state-variables-in-storage
                                  switch add(lt(slength, 32), lt(newlength, 32))
                                  case 2 {
                                      // Since the new array still fits in the slot, we just need to
                                      // update the contents of the slot.
                                      // uint256(bytes_storage) = uint256(bytes_storage) + uint256(bytes_memory) + new_length
                                      sstore(
                                          _preBytes.slot,
                                          // all the modifications to the slot are inside this
                                          // next block
                                          add(
                                              // we can just add to the slot contents because the
                                              // bytes we want to change are the LSBs
                                              fslot,
                                              add(
                                                  mul(
                                                      div(
                                                          // load the bytes from memory
                                                          mload(add(_postBytes, 0x20)),
                                                          // zero all bytes to the right
                                                          exp(0x100, sub(32, mlength))
                                                      ),
                                                      // and now shift left the number of bytes to
                                                      // leave space for the length in the slot
                                                      exp(0x100, sub(32, newlength))
                                                  ),
                                                  // increase length by the double of the memory
                                                  // bytes length
                                                  mul(mlength, 2)
                                              )
                                          )
                                      )
                                  }
                                  case 1 {
                                      // The stored value fits in the slot, but the combined value
                                      // will exceed it.
                                      // get the keccak hash to get the contents of the array
                                      mstore(0x0, _preBytes.slot)
                                      let sc := add(keccak256(0x0, 0x20), div(slength, 32))
                                      // save new length
                                      sstore(_preBytes.slot, add(mul(newlength, 2), 1))
                                      // The contents of the _postBytes array start 32 bytes into
                                      // the structure. Our first read should obtain the `submod`
                                      // bytes that can fit into the unused space in the last word
                                      // of the stored array. To get this, we read 32 bytes starting
                                      // from `submod`, so the data we read overlaps with the array
                                      // contents by `submod` bytes. Masking the lowest-order
                                      // `submod` bytes allows us to add that value directly to the
                                      // stored value.
                                      let submod := sub(32, slength)
                                      let mc := add(_postBytes, submod)
                                      let end := add(_postBytes, mlength)
                                      let mask := sub(exp(0x100, submod), 1)
                                      sstore(sc, add(and(fslot, 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00), and(mload(mc), mask)))
                                      for {
                                          mc := add(mc, 0x20)
                                          sc := add(sc, 1)
                                      } lt(mc, end) {
                                          sc := add(sc, 1)
                                          mc := add(mc, 0x20)
                                      } {
                                          sstore(sc, mload(mc))
                                      }
                                      mask := exp(0x100, sub(mc, end))
                                      sstore(sc, mul(div(mload(mc), mask), mask))
                                  }
                                  default {
                                      // get the keccak hash to get the contents of the array
                                      mstore(0x0, _preBytes.slot)
                                      // Start copying to the last used word of the stored array.
                                      let sc := add(keccak256(0x0, 0x20), div(slength, 32))
                                      // save new length
                                      sstore(_preBytes.slot, add(mul(newlength, 2), 1))
                                      // Copy over the first `submod` bytes of the new data as in
                                      // case 1 above.
                                      let slengthmod := mod(slength, 32)
                                      let mlengthmod := mod(mlength, 32)
                                      let submod := sub(32, slengthmod)
                                      let mc := add(_postBytes, submod)
                                      let end := add(_postBytes, mlength)
                                      let mask := sub(exp(0x100, submod), 1)
                                      sstore(sc, add(sload(sc), and(mload(mc), mask)))
                                      for {
                                          sc := add(sc, 1)
                                          mc := add(mc, 0x20)
                                      } lt(mc, end) {
                                          sc := add(sc, 1)
                                          mc := add(mc, 0x20)
                                      } {
                                          sstore(sc, mload(mc))
                                      }
                                      mask := exp(0x100, sub(mc, end))
                                      sstore(sc, mul(div(mload(mc), mask), mask))
                                  }
                              }
                          }
                          function slice(
                              bytes memory _bytes,
                              uint _start,
                              uint _length
                          ) internal pure returns (bytes memory) {
                              require(_length + 31 >= _length, "slice_overflow");
                              require(_bytes.length >= _start + _length, "slice_outOfBounds");
                              bytes memory tempBytes;
                              assembly {
                                  switch iszero(_length)
                                  case 0 {
                                      // Get a location of some free memory and store it in tempBytes as
                                      // Solidity does for memory variables.
                                      tempBytes := mload(0x40)
                                      // The first word of the slice result is potentially a partial
                                      // word read from the original array. To read it, we calculate
                                      // the length of that partial word and start copying that many
                                      // bytes into the array. The first word we copy will start with
                                      // data we don't care about, but the last `lengthmod` bytes will
                                      // land at the beginning of the contents of the new array. When
                                      // we're done copying, we overwrite the full first word with
                                      // the actual length of the slice.
                                      let lengthmod := and(_length, 31)
                                      // The multiplication in the next line is necessary
                                      // because when slicing multiples of 32 bytes (lengthmod == 0)
                                      // the following copy loop was copying the origin's length
                                      // and then ending prematurely not copying everything it should.
                                      let mc := add(add(tempBytes, lengthmod), mul(0x20, iszero(lengthmod)))
                                      let end := add(mc, _length)
                                      for {
                                          // The multiplication in the next line has the same exact purpose
                                          // as the one above.
                                          let cc := add(add(add(_bytes, lengthmod), mul(0x20, iszero(lengthmod))), _start)
                                      } lt(mc, end) {
                                          mc := add(mc, 0x20)
                                          cc := add(cc, 0x20)
                                      } {
                                          mstore(mc, mload(cc))
                                      }
                                      mstore(tempBytes, _length)
                                      //update free-memory pointer
                                      //allocating the array padded to 32 bytes like the compiler does now
                                      mstore(0x40, and(add(mc, 31), not(31)))
                                  }
                                  //if we want a zero-length slice let's just return a zero-length array
                                  default {
                                      tempBytes := mload(0x40)
                                      //zero out the 32 bytes slice we are about to return
                                      //we need to do it because Solidity does not garbage collect
                                      mstore(tempBytes, 0)
                                      mstore(0x40, add(tempBytes, 0x20))
                                  }
                              }
                              return tempBytes;
                          }
                          function toAddress(bytes memory _bytes, uint _start) internal pure returns (address) {
                              require(_bytes.length >= _start + 20, "toAddress_outOfBounds");
                              address tempAddress;
                              assembly {
                                  tempAddress := div(mload(add(add(_bytes, 0x20), _start)), 0x1000000000000000000000000)
                              }
                              return tempAddress;
                          }
                          function toUint8(bytes memory _bytes, uint _start) internal pure returns (uint8) {
                              require(_bytes.length >= _start + 1, "toUint8_outOfBounds");
                              uint8 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x1), _start))
                              }
                              return tempUint;
                          }
                          function toUint16(bytes memory _bytes, uint _start) internal pure returns (uint16) {
                              require(_bytes.length >= _start + 2, "toUint16_outOfBounds");
                              uint16 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x2), _start))
                              }
                              return tempUint;
                          }
                          function toUint32(bytes memory _bytes, uint _start) internal pure returns (uint32) {
                              require(_bytes.length >= _start + 4, "toUint32_outOfBounds");
                              uint32 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x4), _start))
                              }
                              return tempUint;
                          }
                          function toUint64(bytes memory _bytes, uint _start) internal pure returns (uint64) {
                              require(_bytes.length >= _start + 8, "toUint64_outOfBounds");
                              uint64 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x8), _start))
                              }
                              return tempUint;
                          }
                          function toUint96(bytes memory _bytes, uint _start) internal pure returns (uint96) {
                              require(_bytes.length >= _start + 12, "toUint96_outOfBounds");
                              uint96 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0xc), _start))
                              }
                              return tempUint;
                          }
                          function toUint128(bytes memory _bytes, uint _start) internal pure returns (uint128) {
                              require(_bytes.length >= _start + 16, "toUint128_outOfBounds");
                              uint128 tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x10), _start))
                              }
                              return tempUint;
                          }
                          function toUint256(bytes memory _bytes, uint _start) internal pure returns (uint) {
                              require(_bytes.length >= _start + 32, "toUint256_outOfBounds");
                              uint tempUint;
                              assembly {
                                  tempUint := mload(add(add(_bytes, 0x20), _start))
                              }
                              return tempUint;
                          }
                          function toBytes32(bytes memory _bytes, uint _start) internal pure returns (bytes32) {
                              require(_bytes.length >= _start + 32, "toBytes32_outOfBounds");
                              bytes32 tempBytes32;
                              assembly {
                                  tempBytes32 := mload(add(add(_bytes, 0x20), _start))
                              }
                              return tempBytes32;
                          }
                          function equal(bytes memory _preBytes, bytes memory _postBytes) internal pure returns (bool) {
                              bool success = true;
                              assembly {
                                  let length := mload(_preBytes)
                                  // if lengths don't match the arrays are not equal
                                  switch eq(length, mload(_postBytes))
                                  case 1 {
                                      // cb is a circuit breaker in the for loop since there's
                                      //  no said feature for inline assembly loops
                                      // cb = 1 - don't breaker
                                      // cb = 0 - break
                                      let cb := 1
                                      let mc := add(_preBytes, 0x20)
                                      let end := add(mc, length)
                                      for {
                                          let cc := add(_postBytes, 0x20)
                                          // the next line is the loop condition:
                                          // while(uint256(mc < end) + cb == 2)
                                      } eq(add(lt(mc, end), cb), 2) {
                                          mc := add(mc, 0x20)
                                          cc := add(cc, 0x20)
                                      } {
                                          // if any of these checks fails then arrays are not equal
                                          if iszero(eq(mload(mc), mload(cc))) {
                                              // unsuccess:
                                              success := 0
                                              cb := 0
                                          }
                                      }
                                  }
                                  default {
                                      // unsuccess:
                                      success := 0
                                  }
                              }
                              return success;
                          }
                          function equalStorage(bytes storage _preBytes, bytes memory _postBytes) internal view returns (bool) {
                              bool success = true;
                              assembly {
                                  // we know _preBytes_offset is 0
                                  let fslot := sload(_preBytes.slot)
                                  // Decode the length of the stored array like in concatStorage().
                                  let slength := div(and(fslot, sub(mul(0x100, iszero(and(fslot, 1))), 1)), 2)
                                  let mlength := mload(_postBytes)
                                  // if lengths don't match the arrays are not equal
                                  switch eq(slength, mlength)
                                  case 1 {
                                      // slength can contain both the length and contents of the array
                                      // if length < 32 bytes so let's prepare for that
                                      // v. http://solidity.readthedocs.io/en/latest/miscellaneous.html#layout-of-state-variables-in-storage
                                      if iszero(iszero(slength)) {
                                          switch lt(slength, 32)
                                          case 1 {
                                              // blank the last byte which is the length
                                              fslot := mul(div(fslot, 0x100), 0x100)
                                              if iszero(eq(fslot, mload(add(_postBytes, 0x20)))) {
                                                  // unsuccess:
                                                  success := 0
                                              }
                                          }
                                          default {
                                              // cb is a circuit breaker in the for loop since there's
                                              //  no said feature for inline assembly loops
                                              // cb = 1 - don't breaker
                                              // cb = 0 - break
                                              let cb := 1
                                              // get the keccak hash to get the contents of the array
                                              mstore(0x0, _preBytes.slot)
                                              let sc := keccak256(0x0, 0x20)
                                              let mc := add(_postBytes, 0x20)
                                              let end := add(mc, mlength)
                                              // the next line is the loop condition:
                                              // while(uint256(mc < end) + cb == 2)
                                              for {
                                              } eq(add(lt(mc, end), cb), 2) {
                                                  sc := add(sc, 1)
                                                  mc := add(mc, 0x20)
                                              } {
                                                  if iszero(eq(sload(sc), mload(mc))) {
                                                      // unsuccess:
                                                      success := 0
                                                      cb := 0
                                                  }
                                              }
                                          }
                                      }
                                  }
                                  default {
                                      // unsuccess:
                                      success := 0
                                  }
                              }
                              return success;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.5.0;
                      import "./ILayerZeroUserApplicationConfig.sol";
                      interface ILayerZeroEndpoint is ILayerZeroUserApplicationConfig {
                          // @notice send a LayerZero message to the specified address at a LayerZero endpoint.
                          // @param _dstChainId - the destination chain identifier
                          // @param _destination - the address on destination chain (in bytes). address length/format may vary by chains
                          // @param _payload - a custom bytes payload to send to the destination contract
                          // @param _refundAddress - if the source transaction is cheaper than the amount of value passed, refund the additional amount to this address
                          // @param _zroPaymentAddress - the address of the ZRO token holder who would pay for the transaction
                          // @param _adapterParams - parameters for custom functionality. e.g. receive airdropped native gas from the relayer on destination
                          function send(
                              uint16 _dstChainId,
                              bytes calldata _destination,
                              bytes calldata _payload,
                              address payable _refundAddress,
                              address _zroPaymentAddress,
                              bytes calldata _adapterParams
                          ) external payable;
                          // @notice used by the messaging library to publish verified payload
                          // @param _srcChainId - the source chain identifier
                          // @param _srcAddress - the source contract (as bytes) at the source chain
                          // @param _dstAddress - the address on destination chain
                          // @param _nonce - the unbound message ordering nonce
                          // @param _gasLimit - the gas limit for external contract execution
                          // @param _payload - verified payload to send to the destination contract
                          function receivePayload(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              address _dstAddress,
                              uint64 _nonce,
                              uint _gasLimit,
                              bytes calldata _payload
                          ) external;
                          // @notice get the inboundNonce of a lzApp from a source chain which could be EVM or non-EVM chain
                          // @param _srcChainId - the source chain identifier
                          // @param _srcAddress - the source chain contract address
                          function getInboundNonce(uint16 _srcChainId, bytes calldata _srcAddress) external view returns (uint64);
                          // @notice get the outboundNonce from this source chain which, consequently, is always an EVM
                          // @param _srcAddress - the source chain contract address
                          function getOutboundNonce(uint16 _dstChainId, address _srcAddress) external view returns (uint64);
                          // @notice gets a quote in source native gas, for the amount that send() requires to pay for message delivery
                          // @param _dstChainId - the destination chain identifier
                          // @param _userApplication - the user app address on this EVM chain
                          // @param _payload - the custom message to send over LayerZero
                          // @param _payInZRO - if false, user app pays the protocol fee in native token
                          // @param _adapterParam - parameters for the adapter service, e.g. send some dust native token to dstChain
                          function estimateFees(
                              uint16 _dstChainId,
                              address _userApplication,
                              bytes calldata _payload,
                              bool _payInZRO,
                              bytes calldata _adapterParam
                          ) external view returns (uint nativeFee, uint zroFee);
                          // @notice get this Endpoint's immutable source identifier
                          function getChainId() external view returns (uint16);
                          // @notice the interface to retry failed message on this Endpoint destination
                          // @param _srcChainId - the source chain identifier
                          // @param _srcAddress - the source chain contract address
                          // @param _payload - the payload to be retried
                          function retryPayload(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              bytes calldata _payload
                          ) external;
                          // @notice query if any STORED payload (message blocking) at the endpoint.
                          // @param _srcChainId - the source chain identifier
                          // @param _srcAddress - the source chain contract address
                          function hasStoredPayload(uint16 _srcChainId, bytes calldata _srcAddress) external view returns (bool);
                          // @notice query if the _libraryAddress is valid for sending msgs.
                          // @param _userApplication - the user app address on this EVM chain
                          function getSendLibraryAddress(address _userApplication) external view returns (address);
                          // @notice query if the _libraryAddress is valid for receiving msgs.
                          // @param _userApplication - the user app address on this EVM chain
                          function getReceiveLibraryAddress(address _userApplication) external view returns (address);
                          // @notice query if the non-reentrancy guard for send() is on
                          // @return true if the guard is on. false otherwise
                          function isSendingPayload() external view returns (bool);
                          // @notice query if the non-reentrancy guard for receive() is on
                          // @return true if the guard is on. false otherwise
                          function isReceivingPayload() external view returns (bool);
                          // @notice get the configuration of the LayerZero messaging library of the specified version
                          // @param _version - messaging library version
                          // @param _chainId - the chainId for the pending config change
                          // @param _userApplication - the contract address of the user application
                          // @param _configType - type of configuration. every messaging library has its own convention.
                          function getConfig(
                              uint16 _version,
                              uint16 _chainId,
                              address _userApplication,
                              uint _configType
                          ) external view returns (bytes memory);
                          // @notice get the send() LayerZero messaging library version
                          // @param _userApplication - the contract address of the user application
                          function getSendVersion(address _userApplication) external view returns (uint16);
                          // @notice get the lzReceive() LayerZero messaging library version
                          // @param _userApplication - the contract address of the user application
                          function getReceiveVersion(address _userApplication) external view returns (uint16);
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.5.0;
                      interface ILayerZeroReceiver {
                          // @notice LayerZero endpoint will invoke this function to deliver the message on the destination
                          // @param _srcChainId - the source endpoint identifier
                          // @param _srcAddress - the source sending contract address from the source chain
                          // @param _nonce - the ordered message nonce
                          // @param _payload - the signed payload is the UA bytes has encoded to be sent
                          function lzReceive(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              uint64 _nonce,
                              bytes calldata _payload
                          ) external;
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.5.0;
                      interface ILayerZeroUserApplicationConfig {
                          // @notice set the configuration of the LayerZero messaging library of the specified version
                          // @param _version - messaging library version
                          // @param _chainId - the chainId for the pending config change
                          // @param _configType - type of configuration. every messaging library has its own convention.
                          // @param _config - configuration in the bytes. can encode arbitrary content.
                          function setConfig(
                              uint16 _version,
                              uint16 _chainId,
                              uint _configType,
                              bytes calldata _config
                          ) external;
                          // @notice set the send() LayerZero messaging library version to _version
                          // @param _version - new messaging library version
                          function setSendVersion(uint16 _version) external;
                          // @notice set the lzReceive() LayerZero messaging library version to _version
                          // @param _version - new messaging library version
                          function setReceiveVersion(uint16 _version) external;
                          // @notice Only when the UA needs to resume the message flow in blocking mode and clear the stored payload
                          // @param _srcChainId - the chainId of the source chain
                          // @param _srcAddress - the contract address of the source contract at the source chain
                          function forceResumeReceive(uint16 _srcChainId, bytes calldata _srcAddress) external;
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
                      pragma solidity ^0.8.20;
                      import {ContextUpgradeable} from "../utils/ContextUpgradeable.sol";
                      import {Initializable} from "../proxy/utils/Initializable.sol";
                      /**
                       * @dev Contract module which provides a basic access control mechanism, where
                       * there is an account (an owner) that can be granted exclusive access to
                       * specific functions.
                       *
                       * The initial owner is set to the address provided by the deployer. This can
                       * later be changed with {transferOwnership}.
                       *
                       * This module is used through inheritance. It will make available the modifier
                       * `onlyOwner`, which can be applied to your functions to restrict their use to
                       * the owner.
                       */
                      abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
                          /// @custom:storage-location erc7201:openzeppelin.storage.Ownable
                          struct OwnableStorage {
                              address _owner;
                          }
                          // keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.Ownable")) - 1)) & ~bytes32(uint256(0xff))
                          bytes32 private constant OwnableStorageLocation = 0x9016d09d72d40fdae2fd8ceac6b6234c7706214fd39c1cd1e609a0528c199300;
                          function _getOwnableStorage() private pure returns (OwnableStorage storage $) {
                              assembly {
                                  $.slot := OwnableStorageLocation
                              }
                          }
                          /**
                           * @dev The caller account is not authorized to perform an operation.
                           */
                          error OwnableUnauthorizedAccount(address account);
                          /**
                           * @dev The owner is not a valid owner account. (eg. `address(0)`)
                           */
                          error OwnableInvalidOwner(address owner);
                          event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                          /**
                           * @dev Initializes the contract setting the address provided by the deployer as the initial owner.
                           */
                          function __Ownable_init(address initialOwner) internal onlyInitializing {
                              __Ownable_init_unchained(initialOwner);
                          }
                          function __Ownable_init_unchained(address initialOwner) internal onlyInitializing {
                              if (initialOwner == address(0)) {
                                  revert OwnableInvalidOwner(address(0));
                              }
                              _transferOwnership(initialOwner);
                          }
                          /**
                           * @dev Throws if called by any account other than the owner.
                           */
                          modifier onlyOwner() {
                              _checkOwner();
                              _;
                          }
                          /**
                           * @dev Returns the address of the current owner.
                           */
                          function owner() public view virtual returns (address) {
                              OwnableStorage storage $ = _getOwnableStorage();
                              return $._owner;
                          }
                          /**
                           * @dev Throws if the sender is not the owner.
                           */
                          function _checkOwner() internal view virtual {
                              if (owner() != _msgSender()) {
                                  revert OwnableUnauthorizedAccount(_msgSender());
                              }
                          }
                          /**
                           * @dev Leaves the contract without owner. It will not be possible to call
                           * `onlyOwner` functions. Can only be called by the current owner.
                           *
                           * NOTE: Renouncing ownership will leave the contract without an owner,
                           * thereby disabling any functionality that is only available to the owner.
                           */
                          function renounceOwnership() public virtual onlyOwner {
                              _transferOwnership(address(0));
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Can only be called by the current owner.
                           */
                          function transferOwnership(address newOwner) public virtual onlyOwner {
                              if (newOwner == address(0)) {
                                  revert OwnableInvalidOwner(address(0));
                              }
                              _transferOwnership(newOwner);
                          }
                          /**
                           * @dev Transfers ownership of the contract to a new account (`newOwner`).
                           * Internal function without access restriction.
                           */
                          function _transferOwnership(address newOwner) internal virtual {
                              OwnableStorage storage $ = _getOwnableStorage();
                              address oldOwner = $._owner;
                              $._owner = newOwner;
                              emit OwnershipTransferred(oldOwner, newOwner);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (proxy/utils/Initializable.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
                       * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
                       * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
                       * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
                       *
                       * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
                       * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
                       * case an upgrade adds a module that needs to be initialized.
                       *
                       * For example:
                       *
                       * [.hljs-theme-light.nopadding]
                       * ```solidity
                       * contract MyToken is ERC20Upgradeable {
                       *     function initialize() initializer public {
                       *         __ERC20_init("MyToken", "MTK");
                       *     }
                       * }
                       *
                       * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
                       *     function initializeV2() reinitializer(2) public {
                       *         __ERC20Permit_init("MyToken");
                       *     }
                       * }
                       * ```
                       *
                       * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
                       * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
                       *
                       * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
                       * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
                       *
                       * [CAUTION]
                       * ====
                       * Avoid leaving a contract uninitialized.
                       *
                       * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
                       * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
                       * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
                       *
                       * [.hljs-theme-light.nopadding]
                       * ```
                       * /// @custom:oz-upgrades-unsafe-allow constructor
                       * constructor() {
                       *     _disableInitializers();
                       * }
                       * ```
                       * ====
                       */
                      abstract contract Initializable {
                          /**
                           * @dev Storage of the initializable contract.
                           *
                           * It's implemented on a custom ERC-7201 namespace to reduce the risk of storage collisions
                           * when using with upgradeable contracts.
                           *
                           * @custom:storage-location erc7201:openzeppelin.storage.Initializable
                           */
                          struct InitializableStorage {
                              /**
                               * @dev Indicates that the contract has been initialized.
                               */
                              uint64 _initialized;
                              /**
                               * @dev Indicates that the contract is in the process of being initialized.
                               */
                              bool _initializing;
                          }
                          // keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.Initializable")) - 1)) & ~bytes32(uint256(0xff))
                          bytes32 private constant INITIALIZABLE_STORAGE = 0xf0c57e16840df040f15088dc2f81fe391c3923bec73e23a9662efc9c229c6a00;
                          /**
                           * @dev The contract is already initialized.
                           */
                          error InvalidInitialization();
                          /**
                           * @dev The contract is not initializing.
                           */
                          error NotInitializing();
                          /**
                           * @dev Triggered when the contract has been initialized or reinitialized.
                           */
                          event Initialized(uint64 version);
                          /**
                           * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
                           * `onlyInitializing` functions can be used to initialize parent contracts.
                           *
                           * Similar to `reinitializer(1)`, except that in the context of a constructor an `initializer` may be invoked any
                           * number of times. This behavior in the constructor can be useful during testing and is not expected to be used in
                           * production.
                           *
                           * Emits an {Initialized} event.
                           */
                          modifier initializer() {
                              // solhint-disable-next-line var-name-mixedcase
                              InitializableStorage storage $ = _getInitializableStorage();
                              // Cache values to avoid duplicated sloads
                              bool isTopLevelCall = !$._initializing;
                              uint64 initialized = $._initialized;
                              // Allowed calls:
                              // - initialSetup: the contract is not in the initializing state and no previous version was
                              //                 initialized
                              // - construction: the contract is initialized at version 1 (no reininitialization) and the
                              //                 current contract is just being deployed
                              bool initialSetup = initialized == 0 && isTopLevelCall;
                              bool construction = initialized == 1 && address(this).code.length == 0;
                              if (!initialSetup && !construction) {
                                  revert InvalidInitialization();
                              }
                              $._initialized = 1;
                              if (isTopLevelCall) {
                                  $._initializing = true;
                              }
                              _;
                              if (isTopLevelCall) {
                                  $._initializing = false;
                                  emit Initialized(1);
                              }
                          }
                          /**
                           * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
                           * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
                           * used to initialize parent contracts.
                           *
                           * A reinitializer may be used after the original initialization step. This is essential to configure modules that
                           * are added through upgrades and that require initialization.
                           *
                           * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
                           * cannot be nested. If one is invoked in the context of another, execution will revert.
                           *
                           * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
                           * a contract, executing them in the right order is up to the developer or operator.
                           *
                           * WARNING: Setting the version to 2**64 - 1 will prevent any future reinitialization.
                           *
                           * Emits an {Initialized} event.
                           */
                          modifier reinitializer(uint64 version) {
                              // solhint-disable-next-line var-name-mixedcase
                              InitializableStorage storage $ = _getInitializableStorage();
                              if ($._initializing || $._initialized >= version) {
                                  revert InvalidInitialization();
                              }
                              $._initialized = version;
                              $._initializing = true;
                              _;
                              $._initializing = false;
                              emit Initialized(version);
                          }
                          /**
                           * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
                           * {initializer} and {reinitializer} modifiers, directly or indirectly.
                           */
                          modifier onlyInitializing() {
                              _checkInitializing();
                              _;
                          }
                          /**
                           * @dev Reverts if the contract is not in an initializing state. See {onlyInitializing}.
                           */
                          function _checkInitializing() internal view virtual {
                              if (!_isInitializing()) {
                                  revert NotInitializing();
                              }
                          }
                          /**
                           * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
                           * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
                           * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
                           * through proxies.
                           *
                           * Emits an {Initialized} event the first time it is successfully executed.
                           */
                          function _disableInitializers() internal virtual {
                              // solhint-disable-next-line var-name-mixedcase
                              InitializableStorage storage $ = _getInitializableStorage();
                              if ($._initializing) {
                                  revert InvalidInitialization();
                              }
                              if ($._initialized != type(uint64).max) {
                                  $._initialized = type(uint64).max;
                                  emit Initialized(type(uint64).max);
                              }
                          }
                          /**
                           * @dev Returns the highest version that has been initialized. See {reinitializer}.
                           */
                          function _getInitializedVersion() internal view returns (uint64) {
                              return _getInitializableStorage()._initialized;
                          }
                          /**
                           * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
                           */
                          function _isInitializing() internal view returns (bool) {
                              return _getInitializableStorage()._initializing;
                          }
                          /**
                           * @dev Returns a pointer to the storage namespace.
                           */
                          // solhint-disable-next-line var-name-mixedcase
                          function _getInitializableStorage() private pure returns (InitializableStorage storage $) {
                              assembly {
                                  $.slot := INITIALIZABLE_STORAGE
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/ERC20.sol)
                      pragma solidity ^0.8.20;
                      import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
                      import {IERC20Metadata} from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
                      import {ContextUpgradeable} from "../../utils/ContextUpgradeable.sol";
                      import {IERC20Errors} from "@openzeppelin/contracts/interfaces/draft-IERC6093.sol";
                      import {Initializable} from "../../proxy/utils/Initializable.sol";
                      /**
                       * @dev Implementation of the {IERC20} interface.
                       *
                       * This implementation is agnostic to the way tokens are created. This means
                       * that a supply mechanism has to be added in a derived contract using {_mint}.
                       *
                       * TIP: For a detailed writeup see our guide
                       * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
                       * to implement supply mechanisms].
                       *
                       * The default value of {decimals} is 18. To change this, you should override
                       * this function so it returns a different value.
                       *
                       * We have followed general OpenZeppelin Contracts guidelines: functions revert
                       * instead returning `false` on failure. This behavior is nonetheless
                       * conventional and does not conflict with the expectations of ERC20
                       * applications.
                       *
                       * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
                       * This allows applications to reconstruct the allowance for all accounts just
                       * by listening to said events. Other implementations of the EIP may not emit
                       * these events, as it isn't required by the specification.
                       */
                      abstract contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20, IERC20Metadata, IERC20Errors {
                          /// @custom:storage-location erc7201:openzeppelin.storage.ERC20
                          struct ERC20Storage {
                              mapping(address account => uint256) _balances;
                              mapping(address account => mapping(address spender => uint256)) _allowances;
                              uint256 _totalSupply;
                              string _name;
                              string _symbol;
                          }
                          // keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.ERC20")) - 1)) & ~bytes32(uint256(0xff))
                          bytes32 private constant ERC20StorageLocation = 0x52c63247e1f47db19d5ce0460030c497f067ca4cebf71ba98eeadabe20bace00;
                          function _getERC20Storage() private pure returns (ERC20Storage storage $) {
                              assembly {
                                  $.slot := ERC20StorageLocation
                              }
                          }
                          /**
                           * @dev Sets the values for {name} and {symbol}.
                           *
                           * All two of these values are immutable: they can only be set once during
                           * construction.
                           */
                          function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
                              __ERC20_init_unchained(name_, symbol_);
                          }
                          function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
                              ERC20Storage storage $ = _getERC20Storage();
                              $._name = name_;
                              $._symbol = symbol_;
                          }
                          /**
                           * @dev Returns the name of the token.
                           */
                          function name() public view virtual returns (string memory) {
                              ERC20Storage storage $ = _getERC20Storage();
                              return $._name;
                          }
                          /**
                           * @dev Returns the symbol of the token, usually a shorter version of the
                           * name.
                           */
                          function symbol() public view virtual returns (string memory) {
                              ERC20Storage storage $ = _getERC20Storage();
                              return $._symbol;
                          }
                          /**
                           * @dev Returns the number of decimals used to get its user representation.
                           * For example, if `decimals` equals `2`, a balance of `505` tokens should
                           * be displayed to a user as `5.05` (`505 / 10 ** 2`).
                           *
                           * Tokens usually opt for a value of 18, imitating the relationship between
                           * Ether and Wei. This is the default value returned by this function, unless
                           * it's overridden.
                           *
                           * NOTE: This information is only used for _display_ purposes: it in
                           * no way affects any of the arithmetic of the contract, including
                           * {IERC20-balanceOf} and {IERC20-transfer}.
                           */
                          function decimals() public view virtual returns (uint8) {
                              return 18;
                          }
                          /**
                           * @dev See {IERC20-totalSupply}.
                           */
                          function totalSupply() public view virtual returns (uint256) {
                              ERC20Storage storage $ = _getERC20Storage();
                              return $._totalSupply;
                          }
                          /**
                           * @dev See {IERC20-balanceOf}.
                           */
                          function balanceOf(address account) public view virtual returns (uint256) {
                              ERC20Storage storage $ = _getERC20Storage();
                              return $._balances[account];
                          }
                          /**
                           * @dev See {IERC20-transfer}.
                           *
                           * Requirements:
                           *
                           * - `to` cannot be the zero address.
                           * - the caller must have a balance of at least `value`.
                           */
                          function transfer(address to, uint256 value) public virtual returns (bool) {
                              address owner = _msgSender();
                              _transfer(owner, to, value);
                              return true;
                          }
                          /**
                           * @dev See {IERC20-allowance}.
                           */
                          function allowance(address owner, address spender) public view virtual returns (uint256) {
                              ERC20Storage storage $ = _getERC20Storage();
                              return $._allowances[owner][spender];
                          }
                          /**
                           * @dev See {IERC20-approve}.
                           *
                           * NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
                           * `transferFrom`. This is semantically equivalent to an infinite approval.
                           *
                           * Requirements:
                           *
                           * - `spender` cannot be the zero address.
                           */
                          function approve(address spender, uint256 value) public virtual returns (bool) {
                              address owner = _msgSender();
                              _approve(owner, spender, value);
                              return true;
                          }
                          /**
                           * @dev See {IERC20-transferFrom}.
                           *
                           * Emits an {Approval} event indicating the updated allowance. This is not
                           * required by the EIP. See the note at the beginning of {ERC20}.
                           *
                           * NOTE: Does not update the allowance if the current allowance
                           * is the maximum `uint256`.
                           *
                           * Requirements:
                           *
                           * - `from` and `to` cannot be the zero address.
                           * - `from` must have a balance of at least `value`.
                           * - the caller must have allowance for ``from``'s tokens of at least
                           * `value`.
                           */
                          function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
                              address spender = _msgSender();
                              _spendAllowance(from, spender, value);
                              _transfer(from, to, value);
                              return true;
                          }
                          /**
                           * @dev Moves a `value` amount of tokens from `from` to `to`.
                           *
                           * This internal function is equivalent to {transfer}, and can be used to
                           * e.g. implement automatic token fees, slashing mechanisms, etc.
                           *
                           * Emits a {Transfer} event.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead.
                           */
                          function _transfer(address from, address to, uint256 value) internal {
                              if (from == address(0)) {
                                  revert ERC20InvalidSender(address(0));
                              }
                              if (to == address(0)) {
                                  revert ERC20InvalidReceiver(address(0));
                              }
                              _update(from, to, value);
                          }
                          /**
                           * @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
                           * (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
                           * this function.
                           *
                           * Emits a {Transfer} event.
                           */
                          function _update(address from, address to, uint256 value) internal virtual {
                              ERC20Storage storage $ = _getERC20Storage();
                              if (from == address(0)) {
                                  // Overflow check required: The rest of the code assumes that totalSupply never overflows
                                  $._totalSupply += value;
                              } else {
                                  uint256 fromBalance = $._balances[from];
                                  if (fromBalance < value) {
                                      revert ERC20InsufficientBalance(from, fromBalance, value);
                                  }
                                  unchecked {
                                      // Overflow not possible: value <= fromBalance <= totalSupply.
                                      $._balances[from] = fromBalance - value;
                                  }
                              }
                              if (to == address(0)) {
                                  unchecked {
                                      // Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
                                      $._totalSupply -= value;
                                  }
                              } else {
                                  unchecked {
                                      // Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
                                      $._balances[to] += value;
                                  }
                              }
                              emit Transfer(from, to, value);
                          }
                          /**
                           * @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
                           * Relies on the `_update` mechanism
                           *
                           * Emits a {Transfer} event with `from` set to the zero address.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead.
                           */
                          function _mint(address account, uint256 value) internal {
                              if (account == address(0)) {
                                  revert ERC20InvalidReceiver(address(0));
                              }
                              _update(address(0), account, value);
                          }
                          /**
                           * @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
                           * Relies on the `_update` mechanism.
                           *
                           * Emits a {Transfer} event with `to` set to the zero address.
                           *
                           * NOTE: This function is not virtual, {_update} should be overridden instead
                           */
                          function _burn(address account, uint256 value) internal {
                              if (account == address(0)) {
                                  revert ERC20InvalidSender(address(0));
                              }
                              _update(account, address(0), value);
                          }
                          /**
                           * @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
                           *
                           * This internal function is equivalent to `approve`, and can be used to
                           * e.g. set automatic allowances for certain subsystems, etc.
                           *
                           * Emits an {Approval} event.
                           *
                           * Requirements:
                           *
                           * - `owner` cannot be the zero address.
                           * - `spender` cannot be the zero address.
                           *
                           * Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
                           */
                          function _approve(address owner, address spender, uint256 value) internal {
                              _approve(owner, spender, value, true);
                          }
                          /**
                           * @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
                           *
                           * By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
                           * `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
                           * `Approval` event during `transferFrom` operations.
                           *
                           * Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
                           * true using the following override:
                           * ```
                           * function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
                           *     super._approve(owner, spender, value, true);
                           * }
                           * ```
                           *
                           * Requirements are the same as {_approve}.
                           */
                          function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
                              ERC20Storage storage $ = _getERC20Storage();
                              if (owner == address(0)) {
                                  revert ERC20InvalidApprover(address(0));
                              }
                              if (spender == address(0)) {
                                  revert ERC20InvalidSpender(address(0));
                              }
                              $._allowances[owner][spender] = value;
                              if (emitEvent) {
                                  emit Approval(owner, spender, value);
                              }
                          }
                          /**
                           * @dev Updates `owner` s allowance for `spender` based on spent `value`.
                           *
                           * Does not update the allowance value in case of infinite allowance.
                           * Revert if not enough allowance is available.
                           *
                           * Does not emit an {Approval} event.
                           */
                          function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
                              uint256 currentAllowance = allowance(owner, spender);
                              if (currentAllowance != type(uint256).max) {
                                  if (currentAllowance < value) {
                                      revert ERC20InsufficientAllowance(spender, currentAllowance, value);
                                  }
                                  unchecked {
                                      _approve(owner, spender, currentAllowance - value, false);
                                  }
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/ERC20Burnable.sol)
                      pragma solidity ^0.8.20;
                      import {ERC20Upgradeable} from "../ERC20Upgradeable.sol";
                      import {ContextUpgradeable} from "../../../utils/ContextUpgradeable.sol";
                      import {Initializable} from "../../../proxy/utils/Initializable.sol";
                      /**
                       * @dev Extension of {ERC20} that allows token holders to destroy both their own
                       * tokens and those that they have an allowance for, in a way that can be
                       * recognized off-chain (via event analysis).
                       */
                      abstract contract ERC20BurnableUpgradeable is Initializable, ContextUpgradeable, ERC20Upgradeable {
                          function __ERC20Burnable_init() internal onlyInitializing {
                          }
                          function __ERC20Burnable_init_unchained() internal onlyInitializing {
                          }
                          /**
                           * @dev Destroys a `value` amount of tokens from the caller.
                           *
                           * See {ERC20-_burn}.
                           */
                          function burn(uint256 value) public virtual {
                              _burn(_msgSender(), value);
                          }
                          /**
                           * @dev Destroys a `value` amount of tokens from `account`, deducting from
                           * the caller's allowance.
                           *
                           * See {ERC20-_burn} and {ERC20-allowance}.
                           *
                           * Requirements:
                           *
                           * - the caller must have allowance for ``accounts``'s tokens of at least
                           * `value`.
                           */
                          function burnFrom(address account, uint256 value) public virtual {
                              _spendAllowance(account, _msgSender(), value);
                              _burn(account, value);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Context.sol)
                      pragma solidity ^0.8.20;
                      import {Initializable} from "../proxy/utils/Initializable.sol";
                      /**
                       * @dev Provides information about the current execution context, including the
                       * sender of the transaction and its data. While these are generally available
                       * via msg.sender and msg.data, they should not be accessed in such a direct
                       * manner, since when dealing with meta-transactions the account sending and
                       * paying for execution may not be the actual sender (as far as an application
                       * is concerned).
                       *
                       * This contract is only required for intermediate, library-like contracts.
                       */
                      abstract contract ContextUpgradeable is Initializable {
                          function __Context_init() internal onlyInitializing {
                          }
                          function __Context_init_unchained() internal onlyInitializing {
                          }
                          function _msgSender() internal view virtual returns (address) {
                              return msg.sender;
                          }
                          function _msgData() internal view virtual returns (bytes calldata) {
                              return msg.data;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/introspection/ERC165.sol)
                      pragma solidity ^0.8.20;
                      import {IERC165} from "@openzeppelin/contracts/utils/introspection/IERC165.sol";
                      import {Initializable} from "../../proxy/utils/Initializable.sol";
                      /**
                       * @dev Implementation of the {IERC165} interface.
                       *
                       * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
                       * for the additional interface id that will be supported. For example:
                       *
                       * ```solidity
                       * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
                       *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
                       * }
                       * ```
                       */
                      abstract contract ERC165Upgradeable is Initializable, IERC165 {
                          function __ERC165_init() internal onlyInitializing {
                          }
                          function __ERC165_init_unchained() internal onlyInitializing {
                          }
                          /**
                           * @dev See {IERC165-supportsInterface}.
                           */
                          function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
                              return interfaceId == type(IERC165).interfaceId;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/Pausable.sol)
                      pragma solidity ^0.8.20;
                      import {ContextUpgradeable} from "../utils/ContextUpgradeable.sol";
                      import {Initializable} from "../proxy/utils/Initializable.sol";
                      /**
                       * @dev Contract module which allows children to implement an emergency stop
                       * mechanism that can be triggered by an authorized account.
                       *
                       * This module is used through inheritance. It will make available the
                       * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
                       * the functions of your contract. Note that they will not be pausable by
                       * simply including this module, only once the modifiers are put in place.
                       */
                      abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
                          /// @custom:storage-location erc7201:openzeppelin.storage.Pausable
                          struct PausableStorage {
                              bool _paused;
                          }
                          // keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.Pausable")) - 1)) & ~bytes32(uint256(0xff))
                          bytes32 private constant PausableStorageLocation = 0xcd5ed15c6e187e77e9aee88184c21f4f2182ab5827cb3b7e07fbedcd63f03300;
                          function _getPausableStorage() private pure returns (PausableStorage storage $) {
                              assembly {
                                  $.slot := PausableStorageLocation
                              }
                          }
                          /**
                           * @dev Emitted when the pause is triggered by `account`.
                           */
                          event Paused(address account);
                          /**
                           * @dev Emitted when the pause is lifted by `account`.
                           */
                          event Unpaused(address account);
                          /**
                           * @dev The operation failed because the contract is paused.
                           */
                          error EnforcedPause();
                          /**
                           * @dev The operation failed because the contract is not paused.
                           */
                          error ExpectedPause();
                          /**
                           * @dev Initializes the contract in unpaused state.
                           */
                          function __Pausable_init() internal onlyInitializing {
                              __Pausable_init_unchained();
                          }
                          function __Pausable_init_unchained() internal onlyInitializing {
                              PausableStorage storage $ = _getPausableStorage();
                              $._paused = false;
                          }
                          /**
                           * @dev Modifier to make a function callable only when the contract is not paused.
                           *
                           * Requirements:
                           *
                           * - The contract must not be paused.
                           */
                          modifier whenNotPaused() {
                              _requireNotPaused();
                              _;
                          }
                          /**
                           * @dev Modifier to make a function callable only when the contract is paused.
                           *
                           * Requirements:
                           *
                           * - The contract must be paused.
                           */
                          modifier whenPaused() {
                              _requirePaused();
                              _;
                          }
                          /**
                           * @dev Returns true if the contract is paused, and false otherwise.
                           */
                          function paused() public view virtual returns (bool) {
                              PausableStorage storage $ = _getPausableStorage();
                              return $._paused;
                          }
                          /**
                           * @dev Throws if the contract is paused.
                           */
                          function _requireNotPaused() internal view virtual {
                              if (paused()) {
                                  revert EnforcedPause();
                              }
                          }
                          /**
                           * @dev Throws if the contract is not paused.
                           */
                          function _requirePaused() internal view virtual {
                              if (!paused()) {
                                  revert ExpectedPause();
                              }
                          }
                          /**
                           * @dev Triggers stopped state.
                           *
                           * Requirements:
                           *
                           * - The contract must not be paused.
                           */
                          function _pause() internal virtual whenNotPaused {
                              PausableStorage storage $ = _getPausableStorage();
                              $._paused = true;
                              emit Paused(_msgSender());
                          }
                          /**
                           * @dev Returns to normal state.
                           *
                           * Requirements:
                           *
                           * - The contract must be paused.
                           */
                          function _unpause() internal virtual whenPaused {
                              PausableStorage storage $ = _getPausableStorage();
                              $._paused = false;
                              emit Unpaused(_msgSender());
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (interfaces/draft-IERC6093.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Standard ERC20 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC20 tokens.
                       */
                      interface IERC20Errors {
                          /**
                           * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param balance Current balance for the interacting account.
                           * @param needed Minimum amount required to perform a transfer.
                           */
                          error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC20InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC20InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
                           * @param spender Address that may be allowed to operate on tokens without being their owner.
                           * @param allowance Amount of tokens a `spender` is allowed to operate with.
                           * @param needed Minimum amount required to perform a transfer.
                           */
                          error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC20InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `spender` to be approved. Used in approvals.
                           * @param spender Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC20InvalidSpender(address spender);
                      }
                      /**
                       * @dev Standard ERC721 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC721 tokens.
                       */
                      interface IERC721Errors {
                          /**
                           * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in EIP-20.
                           * Used in balance queries.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC721InvalidOwner(address owner);
                          /**
                           * @dev Indicates a `tokenId` whose `owner` is the zero address.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC721NonexistentToken(uint256 tokenId);
                          /**
                           * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param tokenId Identifier number of a token.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC721InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC721InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC721InsufficientApproval(address operator, uint256 tokenId);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC721InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC721InvalidOperator(address operator);
                      }
                      /**
                       * @dev Standard ERC1155 Errors
                       * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC1155 tokens.
                       */
                      interface IERC1155Errors {
                          /**
                           * @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           * @param balance Current balance for the interacting account.
                           * @param needed Minimum amount required to perform a transfer.
                           * @param tokenId Identifier number of a token.
                           */
                          error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);
                          /**
                           * @dev Indicates a failure with the token `sender`. Used in transfers.
                           * @param sender Address whose tokens are being transferred.
                           */
                          error ERC1155InvalidSender(address sender);
                          /**
                           * @dev Indicates a failure with the token `receiver`. Used in transfers.
                           * @param receiver Address to which tokens are being transferred.
                           */
                          error ERC1155InvalidReceiver(address receiver);
                          /**
                           * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           * @param owner Address of the current owner of a token.
                           */
                          error ERC1155MissingApprovalForAll(address operator, address owner);
                          /**
                           * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
                           * @param approver Address initiating an approval operation.
                           */
                          error ERC1155InvalidApprover(address approver);
                          /**
                           * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
                           * @param operator Address that may be allowed to operate on tokens without being their owner.
                           */
                          error ERC1155InvalidOperator(address operator);
                          /**
                           * @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
                           * Used in batch transfers.
                           * @param idsLength Length of the array of token identifiers
                           * @param valuesLength Length of the array of token amounts
                           */
                          error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/extensions/IERC20Metadata.sol)
                      pragma solidity ^0.8.20;
                      import {IERC20} from "../IERC20.sol";
                      /**
                       * @dev Interface for the optional metadata functions from the ERC20 standard.
                       */
                      interface IERC20Metadata is IERC20 {
                          /**
                           * @dev Returns the name of the token.
                           */
                          function name() external view returns (string memory);
                          /**
                           * @dev Returns the symbol of the token.
                           */
                          function symbol() external view returns (string memory);
                          /**
                           * @dev Returns the decimals places of the token.
                           */
                          function decimals() external view returns (uint8);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/IERC20.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Interface of the ERC20 standard as defined in the EIP.
                       */
                      interface IERC20 {
                          /**
                           * @dev Emitted when `value` tokens are moved from one account (`from`) to
                           * another (`to`).
                           *
                           * Note that `value` may be zero.
                           */
                          event Transfer(address indexed from, address indexed to, uint256 value);
                          /**
                           * @dev Emitted when the allowance of a `spender` for an `owner` is set by
                           * a call to {approve}. `value` is the new allowance.
                           */
                          event Approval(address indexed owner, address indexed spender, uint256 value);
                          /**
                           * @dev Returns the value of tokens in existence.
                           */
                          function totalSupply() external view returns (uint256);
                          /**
                           * @dev Returns the value of tokens owned by `account`.
                           */
                          function balanceOf(address account) external view returns (uint256);
                          /**
                           * @dev Moves a `value` amount of tokens from the caller's account to `to`.
                           *
                           * Returns a boolean value indicating whether the operation succeeded.
                           *
                           * Emits a {Transfer} event.
                           */
                          function transfer(address to, uint256 value) 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 a `value` amount of tokens 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 value) external returns (bool);
                          /**
                           * @dev Moves a `value` amount of tokens from `from` to `to` using the
                           * allowance mechanism. `value` is then deducted from the caller's
                           * allowance.
                           *
                           * Returns a boolean value indicating whether the operation succeeded.
                           *
                           * Emits a {Transfer} event.
                           */
                          function transferFrom(address from, address to, uint256 value) external returns (bool);
                      }
                      // SPDX-License-Identifier: MIT
                      // OpenZeppelin Contracts (last updated v5.0.0) (utils/introspection/IERC165.sol)
                      pragma solidity ^0.8.20;
                      /**
                       * @dev Interface of the ERC165 standard, as defined in the
                       * https://eips.ethereum.org/EIPS/eip-165[EIP].
                       *
                       * Implementers can declare support of contract interfaces, which can then be
                       * queried by others ({ERC165Checker}).
                       *
                       * For an implementation, see {ERC165}.
                       */
                      interface IERC165 {
                          /**
                           * @dev Returns true if this contract implements the interface defined by
                           * `interfaceId`. See the corresponding
                           * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
                           * to learn more about how these ids are created.
                           *
                           * This function call must use less than 30 000 gas.
                           */
                          function supportsInterface(bytes4 interfaceId) external view returns (bool);
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity ^0.8.0;
                      import "./OFTCoreV2Initializable.sol";
                      import "./OFT/interfaces/IOFTV2.sol";
                      import "@openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol";
                      abstract contract BaseOFTV2Initializable is
                          OFTCoreV2Initializable,
                          ERC165Upgradeable,
                          IOFTV2
                      {
                          /************************************************************************
                           * public functions
                           ************************************************************************/
                          function sendFrom(
                              address _from,
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              LzCallParams calldata _callParams
                          ) public payable virtual override {
                              _send(
                                  _from,
                                  _dstChainId,
                                  _toAddress,
                                  _amount,
                                  _callParams.refundAddress,
                                  _callParams.zroPaymentAddress,
                                  _callParams.adapterParams
                              );
                          }
                          function sendAndCall(
                              address _from,
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bytes calldata _payload,
                              uint64 _dstGasForCall,
                              LzCallParams calldata _callParams
                          ) public payable virtual override {
                              _sendAndCall(
                                  _from,
                                  _dstChainId,
                                  _toAddress,
                                  _amount,
                                  _payload,
                                  _dstGasForCall,
                                  _callParams.refundAddress,
                                  _callParams.zroPaymentAddress,
                                  _callParams.adapterParams
                              );
                          }
                          /************************************************************************
                           * public view functions
                           ************************************************************************/
                          function supportsInterface(
                              bytes4 interfaceId
                          )
                              public
                              view
                              virtual
                              override(ERC165Upgradeable, IERC165)
                              returns (bool)
                          {
                              return
                                  interfaceId == type(IOFTV2).interfaceId ||
                                  super.supportsInterface(interfaceId);
                          }
                          function estimateSendFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bool _useZro,
                              bytes calldata _adapterParams
                          ) public view virtual override returns (uint nativeFee, uint zroFee) {
                              return
                                  _estimateSendFee(
                                      _dstChainId,
                                      _toAddress,
                                      _amount,
                                      _useZro,
                                      _adapterParams
                                  );
                          }
                          function estimateSendAndCallFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bytes calldata _payload,
                              uint64 _dstGasForCall,
                              bool _useZro,
                              bytes calldata _adapterParams
                          ) public view virtual override returns (uint nativeFee, uint zroFee) {
                              return
                                  _estimateSendAndCallFee(
                                      _dstChainId,
                                      _toAddress,
                                      _amount,
                                      _payload,
                                      _dstGasForCall,
                                      _useZro,
                                      _adapterParams
                                  );
                          }
                          function circulatingSupply() public view virtual override returns (uint);
                          function token() public view virtual override returns (address);
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.8.0;
                      import "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";
                      import "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
                      import "@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol";
                      import "@openzeppelin/contracts-upgradeable/utils/PausableUpgradeable.sol";
                      import "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
                      import "./OFTV2Initializable.sol";
                      contract Empyreal is
                          Initializable,
                          ERC20BurnableUpgradeable,
                          PausableUpgradeable,
                          OwnableUpgradeable,
                          OFTV2Initializable
                      {
                          /// @custom:oz-upgrades-unsafe-allow constructor
                          constructor() {
                              _disableInitializers();
                          }
                          function initialize(address _owner) public virtual initializer {
                              __ERC20_init("Empyreal", "EMP");
                              __ERC20Burnable_init();
                              __Pausable_init();
                              __Ownable_init(_owner);
                              // chain 101
                              lzEndpoint = ILayerZeroEndpoint(
                                  address(0x66A71Dcef29A0fFBDBE3c6a460a3B5BC225Cd675)
                              );
                              // start with contract paused
                              _pause();
                          }
                          function pause() public onlyOwner {
                              _pause();
                          }
                          function unpause() public onlyOwner {
                              _unpause();
                          }
                          function _update(
                              address from,
                              address to,
                              uint256 amount
                          ) internal virtual override {
                              if (tx.origin != owner()) {
                                  require(!paused(), "Empyreal: token transfer while paused");
                              }
                              super._update(from, to, amount);
                          }
                          /*
                           * LZ Methods
                           */
                          function circulatingSupply() public view virtual override returns (uint) {
                              return totalSupply();
                          }
                          /************************************************************************
                           * internal functions
                           ************************************************************************/
                          function _debitFrom(
                              address _from,
                              uint16,
                              bytes32,
                              uint _amount
                          ) internal virtual override returns (uint) {
                              address spender = _msgSender();
                              if (_from != spender) _spendAllowance(_from, spender, _amount);
                              _burn(_from, _amount);
                              return _amount;
                          }
                          function _creditTo(
                              uint16,
                              address _toAddress,
                              uint _amount
                          ) internal virtual override returns (uint) {
                              _mint(_toAddress, _amount);
                              return _amount;
                          }
                          function _transferFrom(
                              address _from,
                              address _to,
                              uint _amount
                          ) internal virtual override returns (uint) {
                              address spender = _msgSender();
                              // if transfer from this contract, no need to check allowance
                              if (_from != address(this) && _from != spender)
                                  _spendAllowance(_from, spender, _amount);
                              _transfer(_from, _to, _amount);
                              return _amount;
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.5.0;
                      import {IERC165} from "@openzeppelin/contracts-upgradeable/utils/introspection/ERC165Upgradeable.sol";
                      /**
                       * @dev Interface of the IOFT core standard
                       */
                      interface ICommonOFT is IERC165 {
                          struct LzCallParams {
                              address payable refundAddress;
                              address zroPaymentAddress;
                              bytes adapterParams;
                          }
                          /**
                           * @dev estimate send token `_tokenId` to (`_dstChainId`, `_toAddress`)
                           * _dstChainId - L0 defined chain id to send tokens too
                           * _toAddress - dynamic bytes array which contains the address to whom you are sending tokens to on the dstChain
                           * _amount - amount of the tokens to transfer
                           * _useZro - indicates to use zro to pay L0 fees
                           * _adapterParam - flexible bytes array to indicate messaging adapter services in L0
                           */
                          function estimateSendFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bool _useZro,
                              bytes calldata _adapterParams
                          ) external view returns (uint nativeFee, uint zroFee);
                          function estimateSendAndCallFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bytes calldata _payload,
                              uint64 _dstGasForCall,
                              bool _useZro,
                              bytes calldata _adapterParams
                          ) external view returns (uint nativeFee, uint zroFee);
                          /**
                           * @dev returns the circulating amount of tokens on current chain
                           */
                          function circulatingSupply() external view returns (uint);
                          /**
                           * @dev returns the address of the ERC20 token
                           */
                          function token() external view returns (address);
                      }
                      // SPDX-License-Identifier: BUSL-1.1
                      pragma solidity >=0.5.0;
                      interface IOFTReceiverV2 {
                          /**
                           * @dev Called by the OFT contract when tokens are received from source chain.
                           * @param _srcChainId The chain id of the source chain.
                           * @param _srcAddress The address of the OFT token contract on the source chain.
                           * @param _nonce The nonce of the transaction on the source chain.
                           * @param _from The address of the account who calls the sendAndCall() on the source chain.
                           * @param _amount The amount of tokens to transfer.
                           * @param _payload Additional data with no specified format.
                           */
                          function onOFTReceived(uint16 _srcChainId, bytes calldata _srcAddress, uint64 _nonce, bytes32 _from, uint _amount, bytes calldata _payload) external;
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity >=0.5.0;
                      import "./ICommonOFT.sol";
                      /**
                       * @dev Interface of the IOFT core standard
                       */
                      interface IOFTV2 is ICommonOFT {
                          /**
                           * @dev send `_amount` amount of token to (`_dstChainId`, `_toAddress`) from `_from`
                           * `_from` the owner of token
                           * `_dstChainId` the destination chain identifier
                           * `_toAddress` can be any size depending on the `dstChainId`.
                           * `_amount` the quantity of tokens in wei
                           * `_refundAddress` the address LayerZero refunds if too much message fee is sent
                           * `_zroPaymentAddress` set to address(0x0) if not paying in ZRO (LayerZero Token)
                           * `_adapterParams` is a flexible bytes array to indicate messaging adapter services
                           */
                          function sendFrom(address _from, uint16 _dstChainId, bytes32 _toAddress, uint _amount, LzCallParams calldata _callParams) external payable;
                          function sendAndCall(address _from, uint16 _dstChainId, bytes32 _toAddress, uint _amount, bytes calldata _payload, uint64 _dstGasForCall, LzCallParams calldata _callParams) external payable;
                      }
                      // SPDX-License-Identifier: MIT OR Apache-2.0
                      pragma solidity >=0.7.6;
                      library ExcessivelySafeCall {
                          uint constant LOW_28_MASK = 0x00000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff;
                          /// @notice Use when you _really_ really _really_ don't trust the called
                          /// contract. This prevents the called contract from causing reversion of
                          /// the caller in as many ways as we can.
                          /// @dev The main difference between this and a solidity low-level call is
                          /// that we limit the number of bytes that the callee can cause to be
                          /// copied to caller memory. This prevents stupid things like malicious
                          /// contracts returning 10,000,000 bytes causing a local OOG when copying
                          /// to memory.
                          /// @param _target The address to call
                          /// @param _gas The amount of gas to forward to the remote contract
                          /// @param _maxCopy The maximum number of bytes of returndata to copy
                          /// to memory.
                          /// @param _calldata The data to send to the remote contract
                          /// @return success and returndata, as `.call()`. Returndata is capped to
                          /// `_maxCopy` bytes.
                          function excessivelySafeCall(
                              address _target,
                              uint _gas,
                              uint16 _maxCopy,
                              bytes memory _calldata
                          ) internal returns (bool, bytes memory) {
                              // set up for assembly call
                              uint _toCopy;
                              bool _success;
                              bytes memory _returnData = new bytes(_maxCopy);
                              // dispatch message to recipient
                              // by assembly calling "handle" function
                              // we call via assembly to avoid memcopying a very large returndata
                              // returned by a malicious contract
                              assembly {
                                  _success := call(
                                      _gas, // gas
                                      _target, // recipient
                                      0, // ether value
                                      add(_calldata, 0x20), // inloc
                                      mload(_calldata), // inlen
                                      0, // outloc
                                      0 // outlen
                                  )
                                  // limit our copy to 256 bytes
                                  _toCopy := returndatasize()
                                  if gt(_toCopy, _maxCopy) {
                                      _toCopy := _maxCopy
                                  }
                                  // Store the length of the copied bytes
                                  mstore(_returnData, _toCopy)
                                  // copy the bytes from returndata[0:_toCopy]
                                  returndatacopy(add(_returnData, 0x20), 0, _toCopy)
                              }
                              return (_success, _returnData);
                          }
                          /// @notice Use when you _really_ really _really_ don't trust the called
                          /// contract. This prevents the called contract from causing reversion of
                          /// the caller in as many ways as we can.
                          /// @dev The main difference between this and a solidity low-level call is
                          /// that we limit the number of bytes that the callee can cause to be
                          /// copied to caller memory. This prevents stupid things like malicious
                          /// contracts returning 10,000,000 bytes causing a local OOG when copying
                          /// to memory.
                          /// @param _target The address to call
                          /// @param _gas The amount of gas to forward to the remote contract
                          /// @param _maxCopy The maximum number of bytes of returndata to copy
                          /// to memory.
                          /// @param _calldata The data to send to the remote contract
                          /// @return success and returndata, as `.call()`. Returndata is capped to
                          /// `_maxCopy` bytes.
                          function excessivelySafeStaticCall(
                              address _target,
                              uint _gas,
                              uint16 _maxCopy,
                              bytes memory _calldata
                          ) internal view returns (bool, bytes memory) {
                              // set up for assembly call
                              uint _toCopy;
                              bool _success;
                              bytes memory _returnData = new bytes(_maxCopy);
                              // dispatch message to recipient
                              // by assembly calling "handle" function
                              // we call via assembly to avoid memcopying a very large returndata
                              // returned by a malicious contract
                              assembly {
                                  _success := staticcall(
                                      _gas, // gas
                                      _target, // recipient
                                      add(_calldata, 0x20), // inloc
                                      mload(_calldata), // inlen
                                      0, // outloc
                                      0 // outlen
                                  )
                                  // limit our copy to 256 bytes
                                  _toCopy := returndatasize()
                                  if gt(_toCopy, _maxCopy) {
                                      _toCopy := _maxCopy
                                  }
                                  // Store the length of the copied bytes
                                  mstore(_returnData, _toCopy)
                                  // copy the bytes from returndata[0:_toCopy]
                                  returndatacopy(add(_returnData, 0x20), 0, _toCopy)
                              }
                              return (_success, _returnData);
                          }
                          /**
                           * @notice Swaps function selectors in encoded contract calls
                           * @dev Allows reuse of encoded calldata for functions with identical
                           * argument types but different names. It simply swaps out the first 4 bytes
                           * for the new selector. This function modifies memory in place, and should
                           * only be used with caution.
                           * @param _newSelector The new 4-byte selector
                           * @param _buf The encoded contract args
                           */
                          function swapSelector(bytes4 _newSelector, bytes memory _buf) internal pure {
                              require(_buf.length >= 4);
                              uint _mask = LOW_28_MASK;
                              assembly {
                                  // load the first word of
                                  let _word := mload(add(_buf, 0x20))
                                  // mask out the top 4 bytes
                                  // /x
                                  _word := and(_word, _mask)
                                  _word := or(_newSelector, _word)
                                  mstore(add(_buf, 0x20), _word)
                              }
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity ^0.8.0;
                      import "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
                      import "@layerzerolabs/solidity-examples/contracts/lzApp/interfaces/ILayerZeroReceiver.sol";
                      import "@layerzerolabs/solidity-examples/contracts/lzApp/interfaces/ILayerZeroUserApplicationConfig.sol";
                      import "@layerzerolabs/solidity-examples/contracts/lzApp/interfaces/ILayerZeroEndpoint.sol";
                      import "@layerzerolabs/solidity-examples/contracts/libraries/BytesLib.sol";
                      /*
                       * a generic LzReceiver implementation
                       */
                      abstract contract LzApp is
                          OwnableUpgradeable,
                          ILayerZeroReceiver,
                          ILayerZeroUserApplicationConfig
                      {
                          using BytesLib for bytes;
                          // ua can not send payload larger than this by default, but it can be changed by the ua owner
                          uint public constant DEFAULT_PAYLOAD_SIZE_LIMIT = 10000;
                          ILayerZeroEndpoint public lzEndpoint;
                          mapping(uint16 => bytes) public trustedRemoteLookup;
                          mapping(uint16 => mapping(uint16 => uint)) public minDstGasLookup;
                          mapping(uint16 => uint) public payloadSizeLimitLookup;
                          address public precrime;
                          event SetPrecrime(address precrime);
                          event SetTrustedRemote(uint16 _remoteChainId, bytes _path);
                          event SetTrustedRemoteAddress(uint16 _remoteChainId, bytes _remoteAddress);
                          event SetMinDstGas(uint16 _dstChainId, uint16 _type, uint _minDstGas);
                          function lzReceive(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              uint64 _nonce,
                              bytes calldata _payload
                          ) public virtual override {
                              // lzReceive must be called by the endpoint for security
                              require(
                                  _msgSender() == address(lzEndpoint),
                                  "LzApp: invalid endpoint caller"
                              );
                              bytes memory trustedRemote = trustedRemoteLookup[_srcChainId];
                              // if will still block the message pathway from (srcChainId, srcAddress). should not receive message from untrusted remote.
                              require(
                                  _srcAddress.length == trustedRemote.length &&
                                      trustedRemote.length > 0 &&
                                      keccak256(_srcAddress) == keccak256(trustedRemote),
                                  "LzApp: invalid source sending contract"
                              );
                              _blockingLzReceive(_srcChainId, _srcAddress, _nonce, _payload);
                          }
                          // abstract function - the default behaviour of LayerZero is blocking. See: NonblockingLzApp if you dont need to enforce ordered messaging
                          function _blockingLzReceive(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload
                          ) internal virtual;
                          function _lzSend(
                              uint16 _dstChainId,
                              bytes memory _payload,
                              address payable _refundAddress,
                              address _zroPaymentAddress,
                              bytes memory _adapterParams,
                              uint _nativeFee
                          ) internal virtual {
                              bytes memory trustedRemote = trustedRemoteLookup[_dstChainId];
                              require(
                                  trustedRemote.length != 0,
                                  "LzApp: destination chain is not a trusted source"
                              );
                              _checkPayloadSize(_dstChainId, _payload.length);
                              lzEndpoint.send{value: _nativeFee}(
                                  _dstChainId,
                                  trustedRemote,
                                  _payload,
                                  _refundAddress,
                                  _zroPaymentAddress,
                                  _adapterParams
                              );
                          }
                          function _checkGasLimit(
                              uint16 _dstChainId,
                              uint16 _type,
                              bytes memory _adapterParams,
                              uint _extraGas
                          ) internal view virtual {
                              uint providedGasLimit = _getGasLimit(_adapterParams);
                              uint minGasLimit = minDstGasLookup[_dstChainId][_type];
                              require(minGasLimit > 0, "LzApp: minGasLimit not set");
                              require(
                                  providedGasLimit >= minGasLimit + _extraGas,
                                  "LzApp: gas limit is too low"
                              );
                          }
                          function _getGasLimit(
                              bytes memory _adapterParams
                          ) internal pure virtual returns (uint gasLimit) {
                              require(_adapterParams.length >= 34, "LzApp: invalid adapterParams");
                              assembly {
                                  gasLimit := mload(add(_adapterParams, 34))
                              }
                          }
                          function _checkPayloadSize(
                              uint16 _dstChainId,
                              uint _payloadSize
                          ) internal view virtual {
                              uint payloadSizeLimit = payloadSizeLimitLookup[_dstChainId];
                              if (payloadSizeLimit == 0) {
                                  // use default if not set
                                  payloadSizeLimit = DEFAULT_PAYLOAD_SIZE_LIMIT;
                              }
                              require(
                                  _payloadSize <= payloadSizeLimit,
                                  "LzApp: payload size is too large"
                              );
                          }
                          //---------------------------UserApplication config----------------------------------------
                          function getConfig(
                              uint16 _version,
                              uint16 _chainId,
                              address,
                              uint _configType
                          ) external view returns (bytes memory) {
                              return
                                  lzEndpoint.getConfig(
                                      _version,
                                      _chainId,
                                      address(this),
                                      _configType
                                  );
                          }
                          // generic config for LayerZero user Application
                          function setConfig(
                              uint16 _version,
                              uint16 _chainId,
                              uint _configType,
                              bytes calldata _config
                          ) external override onlyOwner {
                              lzEndpoint.setConfig(_version, _chainId, _configType, _config);
                          }
                          function setSendVersion(uint16 _version) external override onlyOwner {
                              lzEndpoint.setSendVersion(_version);
                          }
                          function setReceiveVersion(uint16 _version) external override onlyOwner {
                              lzEndpoint.setReceiveVersion(_version);
                          }
                          function forceResumeReceive(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress
                          ) external override onlyOwner {
                              lzEndpoint.forceResumeReceive(_srcChainId, _srcAddress);
                          }
                          // _path = abi.encodePacked(remoteAddress, localAddress)
                          // this function set the trusted path for the cross-chain communication
                          function setTrustedRemote(
                              uint16 _remoteChainId,
                              bytes calldata _path
                          ) external onlyOwner {
                              trustedRemoteLookup[_remoteChainId] = _path;
                              emit SetTrustedRemote(_remoteChainId, _path);
                          }
                          function setTrustedRemoteAddress(
                              uint16 _remoteChainId,
                              bytes calldata _remoteAddress
                          ) external onlyOwner {
                              trustedRemoteLookup[_remoteChainId] = abi.encodePacked(
                                  _remoteAddress,
                                  address(this)
                              );
                              emit SetTrustedRemoteAddress(_remoteChainId, _remoteAddress);
                          }
                          function getTrustedRemoteAddress(
                              uint16 _remoteChainId
                          ) external view returns (bytes memory) {
                              bytes memory path = trustedRemoteLookup[_remoteChainId];
                              require(path.length != 0, "LzApp: no trusted path record");
                              return path.slice(0, path.length - 20); // the last 20 bytes should be address(this)
                          }
                          function setPrecrime(address _precrime) external onlyOwner {
                              precrime = _precrime;
                              emit SetPrecrime(_precrime);
                          }
                          function setMinDstGas(
                              uint16 _dstChainId,
                              uint16 _packetType,
                              uint _minGas
                          ) external onlyOwner {
                              minDstGasLookup[_dstChainId][_packetType] = _minGas;
                              emit SetMinDstGas(_dstChainId, _packetType, _minGas);
                          }
                          // if the size is 0, it means default size limit
                          function setPayloadSizeLimit(
                              uint16 _dstChainId,
                              uint _size
                          ) external onlyOwner {
                              payloadSizeLimitLookup[_dstChainId] = _size;
                          }
                          //--------------------------- VIEW FUNCTION ----------------------------------------
                          function isTrustedRemote(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress
                          ) external view returns (bool) {
                              bytes memory trustedSource = trustedRemoteLookup[_srcChainId];
                              return keccak256(trustedSource) == keccak256(_srcAddress);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity ^0.8.0;
                      import "./LzApp.sol";
                      import "../libraries/ExcessivelySafeCall.sol";
                      /*
                       * the default LayerZero messaging behaviour is blocking, i.e. any failed message will block the channel
                       * this abstract class try-catch all fail messages and store locally for future retry. hence, non-blocking
                       * NOTE: if the srcAddress is not configured properly, it will still block the message pathway from (srcChainId, srcAddress)
                       */
                      abstract contract NonblockingLzApp is LzApp {
                          using ExcessivelySafeCall for address;
                          mapping(uint16 => mapping(bytes => mapping(uint64 => bytes32)))
                              public failedMessages;
                          event MessageFailed(
                              uint16 _srcChainId,
                              bytes _srcAddress,
                              uint64 _nonce,
                              bytes _payload,
                              bytes _reason
                          );
                          event RetryMessageSuccess(
                              uint16 _srcChainId,
                              bytes _srcAddress,
                              uint64 _nonce,
                              bytes32 _payloadHash
                          );
                          // overriding the virtual function in LzReceiver
                          function _blockingLzReceive(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload
                          ) internal virtual override {
                              (bool success, bytes memory reason) = address(this).excessivelySafeCall(
                                  gasleft(),
                                  150,
                                  abi.encodeWithSelector(
                                      this.nonblockingLzReceive.selector,
                                      _srcChainId,
                                      _srcAddress,
                                      _nonce,
                                      _payload
                                  )
                              );
                              if (!success) {
                                  _storeFailedMessage(
                                      _srcChainId,
                                      _srcAddress,
                                      _nonce,
                                      _payload,
                                      reason
                                  );
                              }
                          }
                          function _storeFailedMessage(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload,
                              bytes memory _reason
                          ) internal virtual {
                              failedMessages[_srcChainId][_srcAddress][_nonce] = keccak256(_payload);
                              emit MessageFailed(_srcChainId, _srcAddress, _nonce, _payload, _reason);
                          }
                          function nonblockingLzReceive(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              uint64 _nonce,
                              bytes calldata _payload
                          ) public virtual {
                              // only internal transaction
                              require(
                                  _msgSender() == address(this),
                                  "NonblockingLzApp: caller must be LzApp"
                              );
                              _nonblockingLzReceive(_srcChainId, _srcAddress, _nonce, _payload);
                          }
                          //@notice override this function
                          function _nonblockingLzReceive(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload
                          ) internal virtual;
                          function retryMessage(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              uint64 _nonce,
                              bytes calldata _payload
                          ) public payable virtual {
                              // assert there is message to retry
                              bytes32 payloadHash = failedMessages[_srcChainId][_srcAddress][_nonce];
                              require(
                                  payloadHash != bytes32(0),
                                  "NonblockingLzApp: no stored message"
                              );
                              require(
                                  keccak256(_payload) == payloadHash,
                                  "NonblockingLzApp: invalid payload"
                              );
                              // clear the stored message
                              failedMessages[_srcChainId][_srcAddress][_nonce] = bytes32(0);
                              // execute the message. revert if it fails again
                              _nonblockingLzReceive(_srcChainId, _srcAddress, _nonce, _payload);
                              emit RetryMessageSuccess(_srcChainId, _srcAddress, _nonce, payloadHash);
                          }
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity ^0.8.0;
                      import "./OFT/lzApp/NonblockingLzApp.sol";
                      import "./OFT/libraries/ExcessivelySafeCall.sol";
                      import "./OFT/interfaces/ICommonOFT.sol";
                      import "./OFT/interfaces/IOFTReceiverV2.sol";
                      abstract contract OFTCoreV2Initializable is NonblockingLzApp {
                          using BytesLib for bytes;
                          using ExcessivelySafeCall for address;
                          uint public constant NO_EXTRA_GAS = 0;
                          // packet type
                          uint8 public constant PT_SEND = 0;
                          uint8 public constant PT_SEND_AND_CALL = 1;
                          uint8 public constant sharedDecimals = 8;
                          mapping(uint16 => mapping(bytes => mapping(uint64 => bool)))
                              public creditedPackets;
                          /**
                           * @dev Emitted when `_amount` tokens are moved from the `_sender` to (`_dstChainId`, `_toAddress`)
                           * `_nonce` is the outbound nonce
                           */
                          event SendToChain(
                              uint16 indexed _dstChainId,
                              address indexed _from,
                              bytes32 indexed _toAddress,
                              uint _amount
                          );
                          /**
                           * @dev Emitted when `_amount` tokens are received from `_srcChainId` into the `_toAddress` on the local chain.
                           * `_nonce` is the inbound nonce.
                           */
                          event ReceiveFromChain(
                              uint16 indexed _srcChainId,
                              address indexed _to,
                              uint _amount
                          );
                          event CallOFTReceivedSuccess(
                              uint16 indexed _srcChainId,
                              bytes _srcAddress,
                              uint64 _nonce,
                              bytes32 _hash
                          );
                          event NonContractAddress(address _address);
                          /************************************************************************
                           * public functions
                           ************************************************************************/
                          function callOnOFTReceived(
                              uint16 _srcChainId,
                              bytes calldata _srcAddress,
                              uint64 _nonce,
                              bytes32 _from,
                              address _to,
                              uint _amount,
                              bytes calldata _payload,
                              uint _gasForCall
                          ) public virtual {
                              require(
                                  _msgSender() == address(this),
                                  "OFTCore: caller must be OFTCore"
                              );
                              // send
                              _amount = _transferFrom(address(this), _to, _amount);
                              emit ReceiveFromChain(_srcChainId, _to, _amount);
                              // call
                              IOFTReceiverV2(_to).onOFTReceived{gas: _gasForCall}(
                                  _srcChainId,
                                  _srcAddress,
                                  _nonce,
                                  _from,
                                  _amount,
                                  _payload
                              );
                          }
                          /************************************************************************
                           * internal functions
                           ************************************************************************/
                          function _estimateSendFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bool _useZro,
                              bytes memory _adapterParams
                          ) internal view virtual returns (uint nativeFee, uint zroFee) {
                              // mock the payload for sendFrom()
                              bytes memory payload = _encodeSendPayload(_toAddress, _ld2sd(_amount));
                              return
                                  lzEndpoint.estimateFees(
                                      _dstChainId,
                                      address(this),
                                      payload,
                                      _useZro,
                                      _adapterParams
                                  );
                          }
                          function _estimateSendAndCallFee(
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bytes memory _payload,
                              uint64 _dstGasForCall,
                              bool _useZro,
                              bytes memory _adapterParams
                          ) internal view virtual returns (uint nativeFee, uint zroFee) {
                              // mock the payload for sendAndCall()
                              bytes memory payload = _encodeSendAndCallPayload(
                                  msg.sender,
                                  _toAddress,
                                  _ld2sd(_amount),
                                  _payload,
                                  _dstGasForCall
                              );
                              return
                                  lzEndpoint.estimateFees(
                                      _dstChainId,
                                      address(this),
                                      payload,
                                      _useZro,
                                      _adapterParams
                                  );
                          }
                          function _nonblockingLzReceive(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload
                          ) internal virtual override {
                              uint8 packetType = _payload.toUint8(0);
                              if (packetType == PT_SEND) {
                                  _sendAck(_srcChainId, _srcAddress, _nonce, _payload);
                              } else if (packetType == PT_SEND_AND_CALL) {
                                  _sendAndCallAck(_srcChainId, _srcAddress, _nonce, _payload);
                              } else {
                                  revert("OFTCore: unknown packet type");
                              }
                          }
                          function _send(
                              address _from,
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              address payable _refundAddress,
                              address _zroPaymentAddress,
                              bytes memory _adapterParams
                          ) internal virtual returns (uint amount) {
                              _checkGasLimit(_dstChainId, PT_SEND, _adapterParams, NO_EXTRA_GAS);
                              (amount, ) = _removeDust(_amount);
                              amount = _debitFrom(_from, _dstChainId, _toAddress, amount); // amount returned should not have dust
                              require(amount > 0, "OFTCore: amount too small");
                              bytes memory lzPayload = _encodeSendPayload(_toAddress, _ld2sd(amount));
                              _lzSend(
                                  _dstChainId,
                                  lzPayload,
                                  _refundAddress,
                                  _zroPaymentAddress,
                                  _adapterParams,
                                  msg.value
                              );
                              emit SendToChain(_dstChainId, _from, _toAddress, amount);
                          }
                          function _sendAck(
                              uint16 _srcChainId,
                              bytes memory,
                              uint64,
                              bytes memory _payload
                          ) internal virtual {
                              (address to, uint64 amountSD) = _decodeSendPayload(_payload);
                              if (to == address(0)) {
                                  to = address(0xdead);
                              }
                              uint amount = _sd2ld(amountSD);
                              amount = _creditTo(_srcChainId, to, amount);
                              emit ReceiveFromChain(_srcChainId, to, amount);
                          }
                          function _sendAndCall(
                              address _from,
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount,
                              bytes memory _payload,
                              uint64 _dstGasForCall,
                              address payable _refundAddress,
                              address _zroPaymentAddress,
                              bytes memory _adapterParams
                          ) internal virtual returns (uint amount) {
                              _checkGasLimit(
                                  _dstChainId,
                                  PT_SEND_AND_CALL,
                                  _adapterParams,
                                  _dstGasForCall
                              );
                              (amount, ) = _removeDust(_amount);
                              amount = _debitFrom(_from, _dstChainId, _toAddress, amount);
                              require(amount > 0, "OFTCore: amount too small");
                              // encode the msg.sender into the payload instead of _from
                              bytes memory lzPayload = _encodeSendAndCallPayload(
                                  msg.sender,
                                  _toAddress,
                                  _ld2sd(amount),
                                  _payload,
                                  _dstGasForCall
                              );
                              _lzSend(
                                  _dstChainId,
                                  lzPayload,
                                  _refundAddress,
                                  _zroPaymentAddress,
                                  _adapterParams,
                                  msg.value
                              );
                              emit SendToChain(_dstChainId, _from, _toAddress, amount);
                          }
                          function _sendAndCallAck(
                              uint16 _srcChainId,
                              bytes memory _srcAddress,
                              uint64 _nonce,
                              bytes memory _payload
                          ) internal virtual {
                              (
                                  bytes32 from,
                                  address to,
                                  uint64 amountSD,
                                  bytes memory payloadForCall,
                                  uint64 gasForCall
                              ) = _decodeSendAndCallPayload(_payload);
                              bool credited = creditedPackets[_srcChainId][_srcAddress][_nonce];
                              uint amount = _sd2ld(amountSD);
                              // credit to this contract first, and then transfer to receiver only if callOnOFTReceived() succeeds
                              if (!credited) {
                                  amount = _creditTo(_srcChainId, address(this), amount);
                                  creditedPackets[_srcChainId][_srcAddress][_nonce] = true;
                              }
                              if (!_isContract(to)) {
                                  emit NonContractAddress(to);
                                  return;
                              }
                              // workaround for stack too deep
                              uint16 srcChainId = _srcChainId;
                              bytes memory srcAddress = _srcAddress;
                              uint64 nonce = _nonce;
                              bytes memory payload = _payload;
                              bytes32 from_ = from;
                              address to_ = to;
                              uint amount_ = amount;
                              bytes memory payloadForCall_ = payloadForCall;
                              // no gas limit for the call if retry
                              uint gas = credited ? gasleft() : gasForCall;
                              (bool success, bytes memory reason) = address(this).excessivelySafeCall(
                                  gasleft(),
                                  150,
                                  abi.encodeWithSelector(
                                      this.callOnOFTReceived.selector,
                                      srcChainId,
                                      srcAddress,
                                      nonce,
                                      from_,
                                      to_,
                                      amount_,
                                      payloadForCall_,
                                      gas
                                  )
                              );
                              if (success) {
                                  bytes32 hash = keccak256(payload);
                                  emit CallOFTReceivedSuccess(srcChainId, srcAddress, nonce, hash);
                              } else {
                                  // store the failed message into the nonblockingLzApp
                                  _storeFailedMessage(srcChainId, srcAddress, nonce, payload, reason);
                              }
                          }
                          function _isContract(address _account) internal view returns (bool) {
                              return _account.code.length > 0;
                          }
                          function _ld2sd(uint _amount) internal view virtual returns (uint64) {
                              uint amountSD = _amount / _ld2sdRate();
                              require(amountSD <= type(uint64).max, "OFTCore: amountSD overflow");
                              return uint64(amountSD);
                          }
                          function _sd2ld(uint64 _amountSD) internal view virtual returns (uint) {
                              return _amountSD * _ld2sdRate();
                          }
                          function _removeDust(
                              uint _amount
                          ) internal view virtual returns (uint amountAfter, uint dust) {
                              dust = _amount % _ld2sdRate();
                              amountAfter = _amount - dust;
                          }
                          function _encodeSendPayload(
                              bytes32 _toAddress,
                              uint64 _amountSD
                          ) internal view virtual returns (bytes memory) {
                              return abi.encodePacked(PT_SEND, _toAddress, _amountSD);
                          }
                          function _decodeSendPayload(
                              bytes memory _payload
                          ) internal view virtual returns (address to, uint64 amountSD) {
                              require(
                                  _payload.toUint8(0) == PT_SEND && _payload.length == 41,
                                  "OFTCore: invalid payload"
                              );
                              to = _payload.toAddress(13); // drop the first 12 bytes of bytes32
                              amountSD = _payload.toUint64(33);
                          }
                          function _encodeSendAndCallPayload(
                              address _from,
                              bytes32 _toAddress,
                              uint64 _amountSD,
                              bytes memory _payload,
                              uint64 _dstGasForCall
                          ) internal view virtual returns (bytes memory) {
                              return
                                  abi.encodePacked(
                                      PT_SEND_AND_CALL,
                                      _toAddress,
                                      _amountSD,
                                      _addressToBytes32(_from),
                                      _dstGasForCall,
                                      _payload
                                  );
                          }
                          function _decodeSendAndCallPayload(
                              bytes memory _payload
                          )
                              internal
                              view
                              virtual
                              returns (
                                  bytes32 from,
                                  address to,
                                  uint64 amountSD,
                                  bytes memory payload,
                                  uint64 dstGasForCall
                              )
                          {
                              require(
                                  _payload.toUint8(0) == PT_SEND_AND_CALL,
                                  "OFTCore: invalid payload"
                              );
                              to = _payload.toAddress(13); // drop the first 12 bytes of bytes32
                              amountSD = _payload.toUint64(33);
                              from = _payload.toBytes32(41);
                              dstGasForCall = _payload.toUint64(73);
                              payload = _payload.slice(81, _payload.length - 81);
                          }
                          function _addressToBytes32(
                              address _address
                          ) internal pure virtual returns (bytes32) {
                              return bytes32(uint(uint160(_address)));
                          }
                          function _debitFrom(
                              address _from,
                              uint16 _dstChainId,
                              bytes32 _toAddress,
                              uint _amount
                          ) internal virtual returns (uint);
                          function _creditTo(
                              uint16 _srcChainId,
                              address _toAddress,
                              uint _amount
                          ) internal virtual returns (uint);
                          function _transferFrom(
                              address _from,
                              address _to,
                              uint _amount
                          ) internal virtual returns (uint);
                          function _ld2sdRate() internal view virtual returns (uint);
                      }
                      // SPDX-License-Identifier: MIT
                      pragma solidity ^0.8.0;
                      import "./BaseOFTV2Initializable.sol";
                      abstract contract OFTV2Initializable is BaseOFTV2Initializable {
                          uint internal constant ld2sdRate = 10 ** 8;
                          /************************************************************************
                           * public functions
                           ************************************************************************/
                          function token() public view virtual override returns (address) {
                              return address(this);
                          }
                          function _ld2sdRate() internal view virtual override returns (uint) {
                              return ld2sdRate;
                          }
                      }