ETH Price: $2,576.76 (+2.43%)

Transaction Decoder

Block:
22849746 at Jul-05-2025 01:30:35 AM +UTC
Transaction Fee:
0.006182464298757614 ETH $15.93
Gas Used:
2,717,402 Gas / 2.275137907 Gwei

Emitted Events:

0 UniswapV2Factory.PairCreated( token0=Token, token1=TransparentUpgradeableProxy, pair=UniswapV2Pair, 437471 )
1 Token.Transfer( from=[Sender] 0x2ff8f4cafefba49963740f3e230200b109c21c0c, to=UniswapV2Pair, value=21378000000000000000000000000 )
2 TransparentUpgradeableProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x0000000000000000000000002ff8f4cafefba49963740f3e230200b109c21c0c, 0x000000000000000000000000903ed709fcf66b6f1ae70718dce736f4553fd240, 0000000000000000000000000000000000000000000000a23f1bd2d48a1c0000 )
3 UniswapV2Pair.Transfer( from=0x0000000000000000000000000000000000000000, to=0x0000000000000000000000000000000000000000, value=1000 )
4 UniswapV2Pair.Transfer( from=0x0000000000000000000000000000000000000000, to=[Sender] 0x2ff8f4cafefba49963740f3e230200b109c21c0c, value=7998915161445331894099938 )
5 UniswapV2Pair.Sync( reserve0=21378000000000000000000000000, reserve1=2992920000000000000000 )
6 UniswapV2Pair.Mint( sender=[Receiver] UniswapV2Router02, amount0=21378000000000000000000000000, amount1=2992920000000000000000 )

Account State Difference:

  Address   Before After State Difference Code
0x2Ff8F4CA...109C21C0c
0.16603815422454149 Eth
Nonce: 10
0.159855689925783876 Eth
Nonce: 11
0.006182464298757614
(Titan Builder)
15.287643194631870213 Eth15.293077998631870213 Eth0.005434804
0x5C69bEe7...B9cc5aA6f
(Uniswap V2: Factory Contract)
0x691C09aF...81b97159f
0x8d0D000E...476f08B0d
0x903Ed709...4553FD240
0 Eth
Nonce: 0
0 Eth
Nonce: 1
From: 0 To: 67642900925137262226961132290746773005824062929938078116410414914515466526638329462688081450072867019682452382411278164321256023890171847264137261360509378475907968698942938110240430655997575163835984398609335281810903003359352805895607308973506225775585509674963273157131763887963079931997256846023769214558057792965100303742208855475094448687107985298050287270057687143657832597168286573859488295050914584134750795244813250040201313823106152467502116062596782909988299402592255301286652751129711131968020976779387772506838811320498599740621119348204418637804302507583557976379607506408927567099808894654784422669563697217279104720987332513577275883595053240995209877347794711539040881469044511132530094788299995183847319072761098970199741285856720479019284741610196099642546656965371182249895216794616385276743087932264178416047225038320530485329027433077443899243624670249797672998208419380015858479576506246420002202403017067853248563867020556506108543152049685831844808110834154297792488275365753594654115061771774453793905154560001591180024040985002731438285864696461469907322938112482608664046034482087148167797929307086379245857853449230866892200234949754799865978047419725321254960139128215879814689243572356125243766394193121838831074680171902760679255795377571827221541672517922512934672529204292828027418174589641679642501786984512507772447685305592994195151245973603177999479364259950249047774355416091342447624126495943758663184834348783295189714115510663867257697563477384768907669567582571702309210291189378516621671477853921258131935639109415589435916727894929601408971366457646498004439590079025374704617730314195387777233272844640183164207803374098425688889850004884478396580625277600956825861647757732146428106599504426742553151873511332195955032399848051878850577412099947196672512093887780693643614153019231249317997528664480847391976810349885615890762015776476214685684798486131731213201830979460884633086545068439282835355277953753367083792016944783903648226891036786557300589357218612704299783044108919622290171298032573909183238406480042857757064841879240484931624762739804158645405741257058788366182855761674579686127313521213327746074528455053156069484820167997460258219479006164295893405423976464125971752067970072111955390138966901300355503636481568432850879107358240041988659275802628283359410646230924133223019622332015664800616829123285465369530044204172143098102434824803792303460959669591091644291103413324517327138147471751723697339548293272440062294391076703507067165041189057196557397454140041053135340032112659536074684086823814848131346280643853474486122284885460688156848689431369252284664826623075862095412329416347027631504233610052731257688603593210030704983291131523040446873114843695918868262868492414927147460354535309857608260742022243286805340750567887805273558505375265079904257069235331926374149985521742918001058235080265452799632311135183428953852911179332319951451454523616174971895151103108775305691155354924351945945843505686415524186310247898445905729902414253607872701420225010984104020407590028175997984967095186412669319569402715869338816087947628609723570743336200000744827909475891783847391812091334518093545827937522747455232088724469384331217408753959337309751699166529747094600688026486789025208355795885440489940832379234685443530563589803544739869034403193862989313217511654349751089602306887740403000459100901857872475881328441145990512550520176172037635700206439801844606424259973807069397607212926715087565970757469222146640398317930618249061914279811117989633196711031056825160441280136444905089520381969503957751233091177329864013173994187535419027930325950831494039668450323499745559937741253825503951420804760193299772012884313029105165797490868148710443318266875614455268148576275057686461360977445571465380340740867725726575303351929502407234398936410169217745469278885408806579380367052331515836426600129628597846917913848782231914736271199474385178527644409718289615084524789407891099881170176923873211656094670319545034123550422742261153697475250546035104299810617236107699425555651536614019431615830382187881948457305104755258907055498281142567510606254972556140798897063546643184095246187116453937558655357362654198942092165888268915846547293437507138005645347280445558133778381038749812311714851407332662632990750260592364291641196957781641250605233374087022147168474664363559942364194625795425558854312752827444546222193283128097045445758418001039512538331596119585313521584894347533755473419845514771398735876200779238916013561852371611117289062764354029890462681215851530127266065481479578439714998267514602651513326075698322013906961061962007527392978985951396231590422447452564566261426847276602724429664106348220476833003193304005591697616280657568080634670267818592722040727880177381376915904288499404046237976241646234189912517017303397460490834542297613755296680331800508318519890986025901909315564652516648319134057223856468470812467132517641602016513134400509837945422972405908952587388421486281561598431744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Execution Trace

UniswapV2Router02.addLiquidity( tokenA=0x691C09aF4a6A92ac8559e8F49e54FA081b97159f, tokenB=0x8d0D000Ee44948FC98c9B98A4FA4921476f08B0d, amountADesired=21378000000000000000000000000, amountBDesired=2992920000000000000000, amountAMin=20843550000000000000000000000, amountBMin=2918097000000000000000, to=0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c, deadline=1751680685 ) => ( amountA=21378000000000000000000000000, amountB=2992920000000000000000, liquidity=7998915161445331894099938 )
  • UniswapV2Factory.getPair( 0x691C09aF4a6A92ac8559e8F49e54FA081b97159f, 0x8d0D000Ee44948FC98c9B98A4FA4921476f08B0d ) => ( 0x0000000000000000000000000000000000000000 )
  • UniswapV2Factory.createPair( tokenA=0x691C09aF4a6A92ac8559e8F49e54FA081b97159f, tokenB=0x8d0D000Ee44948FC98c9B98A4FA4921476f08B0d ) => ( pair=0x903Ed709fCF66B6F1AE70718DCE736f4553FD240 )
    • UniswapV2Pair.60806040( )
    • UniswapV2Pair.initialize( _token0=0x691C09aF4a6A92ac8559e8F49e54FA081b97159f, _token1=0x8d0D000Ee44948FC98c9B98A4FA4921476f08B0d )
    • UniswapV2Pair.STATICCALL( )
    • Token.transferFrom( from=0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c, to=0x903Ed709fCF66B6F1AE70718DCE736f4553FD240, value=21378000000000000000000000000 ) => ( True )
    • TransparentUpgradeableProxy.23b872dd( )
      • Stablecoin.transferFrom( from=0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c, to=0x903Ed709fCF66B6F1AE70718DCE736f4553FD240, amount=2992920000000000000000 ) => ( True )
      • UniswapV2Pair.mint( to=0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c ) => ( liquidity=7998915161445331894099938 )
        • Token.balanceOf( account=0x903Ed709fCF66B6F1AE70718DCE736f4553FD240 ) => ( 21378000000000000000000000000 )
        • TransparentUpgradeableProxy.70a08231( )
          • Stablecoin.balanceOf( account=0x903Ed709fCF66B6F1AE70718DCE736f4553FD240 ) => ( 2992920000000000000000 )
          • UniswapV2Factory.STATICCALL( )
            File 1 of 6: UniswapV2Router02
            pragma solidity =0.6.6;
            
            interface IUniswapV2Factory {
                event PairCreated(address indexed token0, address indexed token1, address pair, uint);
            
                function feeTo() external view returns (address);
                function feeToSetter() external view returns (address);
            
                function getPair(address tokenA, address tokenB) external view returns (address pair);
                function allPairs(uint) external view returns (address pair);
                function allPairsLength() external view returns (uint);
            
                function createPair(address tokenA, address tokenB) external returns (address pair);
            
                function setFeeTo(address) external;
                function setFeeToSetter(address) external;
            }
            
            interface IUniswapV2Pair {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
            
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
            
                function MINIMUM_LIQUIDITY() external pure returns (uint);
                function factory() external view returns (address);
                function token0() external view returns (address);
                function token1() external view returns (address);
                function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                function price0CumulativeLast() external view returns (uint);
                function price1CumulativeLast() external view returns (uint);
                function kLast() external view returns (uint);
            
                function mint(address to) external returns (uint liquidity);
                function burn(address to) external returns (uint amount0, uint amount1);
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                function skim(address to) external;
                function sync() external;
            
                function initialize(address, address) external;
            }
            
            interface IUniswapV2Router01 {
                function factory() external pure returns (address);
                function WETH() external pure returns (address);
            
                function addLiquidity(
                    address tokenA,
                    address tokenB,
                    uint amountADesired,
                    uint amountBDesired,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) external returns (uint amountA, uint amountB, uint liquidity);
                function addLiquidityETH(
                    address token,
                    uint amountTokenDesired,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
                function removeLiquidity(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) external returns (uint amountA, uint amountB);
                function removeLiquidityETH(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external returns (uint amountToken, uint amountETH);
                function removeLiquidityWithPermit(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountA, uint amountB);
                function removeLiquidityETHWithPermit(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountToken, uint amountETH);
                function swapExactTokensForTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external returns (uint[] memory amounts);
                function swapTokensForExactTokens(
                    uint amountOut,
                    uint amountInMax,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external returns (uint[] memory amounts);
                function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    payable
                    returns (uint[] memory amounts);
                function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                    external
                    returns (uint[] memory amounts);
                function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    returns (uint[] memory amounts);
                function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                    external
                    payable
                    returns (uint[] memory amounts);
            
                function quote(uint amountA, uint reserveA, uint reserveB) external pure returns (uint amountB);
                function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) external pure returns (uint amountOut);
                function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) external pure returns (uint amountIn);
                function getAmountsOut(uint amountIn, address[] calldata path) external view returns (uint[] memory amounts);
                function getAmountsIn(uint amountOut, address[] calldata path) external view returns (uint[] memory amounts);
            }
            
            interface IUniswapV2Router02 is IUniswapV2Router01 {
                function removeLiquidityETHSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external returns (uint amountETH);
                function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountETH);
            
                function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external;
                function swapExactETHForTokensSupportingFeeOnTransferTokens(
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external payable;
                function swapExactTokensForETHSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external;
            }
            
            interface IERC20 {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external view returns (string memory);
                function symbol() external view returns (string memory);
                function decimals() external view returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            }
            
            interface IWETH {
                function deposit() external payable;
                function transfer(address to, uint value) external returns (bool);
                function withdraw(uint) external;
            }
            
            contract UniswapV2Router02 is IUniswapV2Router02 {
                using SafeMath for uint;
            
                address public immutable override factory;
                address public immutable override WETH;
            
                modifier ensure(uint deadline) {
                    require(deadline >= block.timestamp, 'UniswapV2Router: EXPIRED');
                    _;
                }
            
                constructor(address _factory, address _WETH) public {
                    factory = _factory;
                    WETH = _WETH;
                }
            
                receive() external payable {
                    assert(msg.sender == WETH); // only accept ETH via fallback from the WETH contract
                }
            
                // **** ADD LIQUIDITY ****
                function _addLiquidity(
                    address tokenA,
                    address tokenB,
                    uint amountADesired,
                    uint amountBDesired,
                    uint amountAMin,
                    uint amountBMin
                ) internal virtual returns (uint amountA, uint amountB) {
                    // create the pair if it doesn't exist yet
                    if (IUniswapV2Factory(factory).getPair(tokenA, tokenB) == address(0)) {
                        IUniswapV2Factory(factory).createPair(tokenA, tokenB);
                    }
                    (uint reserveA, uint reserveB) = UniswapV2Library.getReserves(factory, tokenA, tokenB);
                    if (reserveA == 0 && reserveB == 0) {
                        (amountA, amountB) = (amountADesired, amountBDesired);
                    } else {
                        uint amountBOptimal = UniswapV2Library.quote(amountADesired, reserveA, reserveB);
                        if (amountBOptimal <= amountBDesired) {
                            require(amountBOptimal >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                            (amountA, amountB) = (amountADesired, amountBOptimal);
                        } else {
                            uint amountAOptimal = UniswapV2Library.quote(amountBDesired, reserveB, reserveA);
                            assert(amountAOptimal <= amountADesired);
                            require(amountAOptimal >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                            (amountA, amountB) = (amountAOptimal, amountBDesired);
                        }
                    }
                }
                function addLiquidity(
                    address tokenA,
                    address tokenB,
                    uint amountADesired,
                    uint amountBDesired,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) external virtual override ensure(deadline) returns (uint amountA, uint amountB, uint liquidity) {
                    (amountA, amountB) = _addLiquidity(tokenA, tokenB, amountADesired, amountBDesired, amountAMin, amountBMin);
                    address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                    TransferHelper.safeTransferFrom(tokenA, msg.sender, pair, amountA);
                    TransferHelper.safeTransferFrom(tokenB, msg.sender, pair, amountB);
                    liquidity = IUniswapV2Pair(pair).mint(to);
                }
                function addLiquidityETH(
                    address token,
                    uint amountTokenDesired,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external virtual override payable ensure(deadline) returns (uint amountToken, uint amountETH, uint liquidity) {
                    (amountToken, amountETH) = _addLiquidity(
                        token,
                        WETH,
                        amountTokenDesired,
                        msg.value,
                        amountTokenMin,
                        amountETHMin
                    );
                    address pair = UniswapV2Library.pairFor(factory, token, WETH);
                    TransferHelper.safeTransferFrom(token, msg.sender, pair, amountToken);
                    IWETH(WETH).deposit{value: amountETH}();
                    assert(IWETH(WETH).transfer(pair, amountETH));
                    liquidity = IUniswapV2Pair(pair).mint(to);
                    // refund dust eth, if any
                    if (msg.value > amountETH) TransferHelper.safeTransferETH(msg.sender, msg.value - amountETH);
                }
            
                // **** REMOVE LIQUIDITY ****
                function removeLiquidity(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) public virtual override ensure(deadline) returns (uint amountA, uint amountB) {
                    address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                    IUniswapV2Pair(pair).transferFrom(msg.sender, pair, liquidity); // send liquidity to pair
                    (uint amount0, uint amount1) = IUniswapV2Pair(pair).burn(to);
                    (address token0,) = UniswapV2Library.sortTokens(tokenA, tokenB);
                    (amountA, amountB) = tokenA == token0 ? (amount0, amount1) : (amount1, amount0);
                    require(amountA >= amountAMin, 'UniswapV2Router: INSUFFICIENT_A_AMOUNT');
                    require(amountB >= amountBMin, 'UniswapV2Router: INSUFFICIENT_B_AMOUNT');
                }
                function removeLiquidityETH(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) public virtual override ensure(deadline) returns (uint amountToken, uint amountETH) {
                    (amountToken, amountETH) = removeLiquidity(
                        token,
                        WETH,
                        liquidity,
                        amountTokenMin,
                        amountETHMin,
                        address(this),
                        deadline
                    );
                    TransferHelper.safeTransfer(token, to, amountToken);
                    IWETH(WETH).withdraw(amountETH);
                    TransferHelper.safeTransferETH(to, amountETH);
                }
                function removeLiquidityWithPermit(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external virtual override returns (uint amountA, uint amountB) {
                    address pair = UniswapV2Library.pairFor(factory, tokenA, tokenB);
                    uint value = approveMax ? uint(-1) : liquidity;
                    IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                    (amountA, amountB) = removeLiquidity(tokenA, tokenB, liquidity, amountAMin, amountBMin, to, deadline);
                }
                function removeLiquidityETHWithPermit(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external virtual override returns (uint amountToken, uint amountETH) {
                    address pair = UniswapV2Library.pairFor(factory, token, WETH);
                    uint value = approveMax ? uint(-1) : liquidity;
                    IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                    (amountToken, amountETH) = removeLiquidityETH(token, liquidity, amountTokenMin, amountETHMin, to, deadline);
                }
            
                // **** REMOVE LIQUIDITY (supporting fee-on-transfer tokens) ****
                function removeLiquidityETHSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) public virtual override ensure(deadline) returns (uint amountETH) {
                    (, amountETH) = removeLiquidity(
                        token,
                        WETH,
                        liquidity,
                        amountTokenMin,
                        amountETHMin,
                        address(this),
                        deadline
                    );
                    TransferHelper.safeTransfer(token, to, IERC20(token).balanceOf(address(this)));
                    IWETH(WETH).withdraw(amountETH);
                    TransferHelper.safeTransferETH(to, amountETH);
                }
                function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external virtual override returns (uint amountETH) {
                    address pair = UniswapV2Library.pairFor(factory, token, WETH);
                    uint value = approveMax ? uint(-1) : liquidity;
                    IUniswapV2Pair(pair).permit(msg.sender, address(this), value, deadline, v, r, s);
                    amountETH = removeLiquidityETHSupportingFeeOnTransferTokens(
                        token, liquidity, amountTokenMin, amountETHMin, to, deadline
                    );
                }
            
                // **** SWAP ****
                // requires the initial amount to have already been sent to the first pair
                function _swap(uint[] memory amounts, address[] memory path, address _to) internal virtual {
                    for (uint i; i < path.length - 1; i++) {
                        (address input, address output) = (path[i], path[i + 1]);
                        (address token0,) = UniswapV2Library.sortTokens(input, output);
                        uint amountOut = amounts[i + 1];
                        (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOut) : (amountOut, uint(0));
                        address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                        IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output)).swap(
                            amount0Out, amount1Out, to, new bytes(0)
                        );
                    }
                }
                function swapExactTokensForTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                    amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                    require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                    );
                    _swap(amounts, path, to);
                }
                function swapTokensForExactTokens(
                    uint amountOut,
                    uint amountInMax,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external virtual override ensure(deadline) returns (uint[] memory amounts) {
                    amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                    require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                    );
                    _swap(amounts, path, to);
                }
                function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    virtual
                    override
                    payable
                    ensure(deadline)
                    returns (uint[] memory amounts)
                {
                    require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                    amounts = UniswapV2Library.getAmountsOut(factory, msg.value, path);
                    require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                    IWETH(WETH).deposit{value: amounts[0]}();
                    assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                    _swap(amounts, path, to);
                }
                function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                    external
                    virtual
                    override
                    ensure(deadline)
                    returns (uint[] memory amounts)
                {
                    require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                    amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                    require(amounts[0] <= amountInMax, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                    );
                    _swap(amounts, path, address(this));
                    IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                    TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                }
                function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    virtual
                    override
                    ensure(deadline)
                    returns (uint[] memory amounts)
                {
                    require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                    amounts = UniswapV2Library.getAmountsOut(factory, amountIn, path);
                    require(amounts[amounts.length - 1] >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]
                    );
                    _swap(amounts, path, address(this));
                    IWETH(WETH).withdraw(amounts[amounts.length - 1]);
                    TransferHelper.safeTransferETH(to, amounts[amounts.length - 1]);
                }
                function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                    external
                    virtual
                    override
                    payable
                    ensure(deadline)
                    returns (uint[] memory amounts)
                {
                    require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                    amounts = UniswapV2Library.getAmountsIn(factory, amountOut, path);
                    require(amounts[0] <= msg.value, 'UniswapV2Router: EXCESSIVE_INPUT_AMOUNT');
                    IWETH(WETH).deposit{value: amounts[0]}();
                    assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amounts[0]));
                    _swap(amounts, path, to);
                    // refund dust eth, if any
                    if (msg.value > amounts[0]) TransferHelper.safeTransferETH(msg.sender, msg.value - amounts[0]);
                }
            
                // **** SWAP (supporting fee-on-transfer tokens) ****
                // requires the initial amount to have already been sent to the first pair
                function _swapSupportingFeeOnTransferTokens(address[] memory path, address _to) internal virtual {
                    for (uint i; i < path.length - 1; i++) {
                        (address input, address output) = (path[i], path[i + 1]);
                        (address token0,) = UniswapV2Library.sortTokens(input, output);
                        IUniswapV2Pair pair = IUniswapV2Pair(UniswapV2Library.pairFor(factory, input, output));
                        uint amountInput;
                        uint amountOutput;
                        { // scope to avoid stack too deep errors
                        (uint reserve0, uint reserve1,) = pair.getReserves();
                        (uint reserveInput, uint reserveOutput) = input == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                        amountInput = IERC20(input).balanceOf(address(pair)).sub(reserveInput);
                        amountOutput = UniswapV2Library.getAmountOut(amountInput, reserveInput, reserveOutput);
                        }
                        (uint amount0Out, uint amount1Out) = input == token0 ? (uint(0), amountOutput) : (amountOutput, uint(0));
                        address to = i < path.length - 2 ? UniswapV2Library.pairFor(factory, output, path[i + 2]) : _to;
                        pair.swap(amount0Out, amount1Out, to, new bytes(0));
                    }
                }
                function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external virtual override ensure(deadline) {
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                    );
                    uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                    _swapSupportingFeeOnTransferTokens(path, to);
                    require(
                        IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                        'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                    );
                }
                function swapExactETHForTokensSupportingFeeOnTransferTokens(
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                )
                    external
                    virtual
                    override
                    payable
                    ensure(deadline)
                {
                    require(path[0] == WETH, 'UniswapV2Router: INVALID_PATH');
                    uint amountIn = msg.value;
                    IWETH(WETH).deposit{value: amountIn}();
                    assert(IWETH(WETH).transfer(UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn));
                    uint balanceBefore = IERC20(path[path.length - 1]).balanceOf(to);
                    _swapSupportingFeeOnTransferTokens(path, to);
                    require(
                        IERC20(path[path.length - 1]).balanceOf(to).sub(balanceBefore) >= amountOutMin,
                        'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT'
                    );
                }
                function swapExactTokensForETHSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                )
                    external
                    virtual
                    override
                    ensure(deadline)
                {
                    require(path[path.length - 1] == WETH, 'UniswapV2Router: INVALID_PATH');
                    TransferHelper.safeTransferFrom(
                        path[0], msg.sender, UniswapV2Library.pairFor(factory, path[0], path[1]), amountIn
                    );
                    _swapSupportingFeeOnTransferTokens(path, address(this));
                    uint amountOut = IERC20(WETH).balanceOf(address(this));
                    require(amountOut >= amountOutMin, 'UniswapV2Router: INSUFFICIENT_OUTPUT_AMOUNT');
                    IWETH(WETH).withdraw(amountOut);
                    TransferHelper.safeTransferETH(to, amountOut);
                }
            
                // **** LIBRARY FUNCTIONS ****
                function quote(uint amountA, uint reserveA, uint reserveB) public pure virtual override returns (uint amountB) {
                    return UniswapV2Library.quote(amountA, reserveA, reserveB);
                }
            
                function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut)
                    public
                    pure
                    virtual
                    override
                    returns (uint amountOut)
                {
                    return UniswapV2Library.getAmountOut(amountIn, reserveIn, reserveOut);
                }
            
                function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut)
                    public
                    pure
                    virtual
                    override
                    returns (uint amountIn)
                {
                    return UniswapV2Library.getAmountIn(amountOut, reserveIn, reserveOut);
                }
            
                function getAmountsOut(uint amountIn, address[] memory path)
                    public
                    view
                    virtual
                    override
                    returns (uint[] memory amounts)
                {
                    return UniswapV2Library.getAmountsOut(factory, amountIn, path);
                }
            
                function getAmountsIn(uint amountOut, address[] memory path)
                    public
                    view
                    virtual
                    override
                    returns (uint[] memory amounts)
                {
                    return UniswapV2Library.getAmountsIn(factory, amountOut, path);
                }
            }
            
            // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
            
            library SafeMath {
                function add(uint x, uint y) internal pure returns (uint z) {
                    require((z = x + y) >= x, 'ds-math-add-overflow');
                }
            
                function sub(uint x, uint y) internal pure returns (uint z) {
                    require((z = x - y) <= x, 'ds-math-sub-underflow');
                }
            
                function mul(uint x, uint y) internal pure returns (uint z) {
                    require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                }
            }
            
            library UniswapV2Library {
                using SafeMath for uint;
            
                // returns sorted token addresses, used to handle return values from pairs sorted in this order
                function sortTokens(address tokenA, address tokenB) internal pure returns (address token0, address token1) {
                    require(tokenA != tokenB, 'UniswapV2Library: IDENTICAL_ADDRESSES');
                    (token0, token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                    require(token0 != address(0), 'UniswapV2Library: ZERO_ADDRESS');
                }
            
                // calculates the CREATE2 address for a pair without making any external calls
                function pairFor(address factory, address tokenA, address tokenB) internal pure returns (address pair) {
                    (address token0, address token1) = sortTokens(tokenA, tokenB);
                    pair = address(uint(keccak256(abi.encodePacked(
                            hex'ff',
                            factory,
                            keccak256(abi.encodePacked(token0, token1)),
                            hex'96e8ac4277198ff8b6f785478aa9a39f403cb768dd02cbee326c3e7da348845f' // init code hash
                        ))));
                }
            
                // fetches and sorts the reserves for a pair
                function getReserves(address factory, address tokenA, address tokenB) internal view returns (uint reserveA, uint reserveB) {
                    (address token0,) = sortTokens(tokenA, tokenB);
                    (uint reserve0, uint reserve1,) = IUniswapV2Pair(pairFor(factory, tokenA, tokenB)).getReserves();
                    (reserveA, reserveB) = tokenA == token0 ? (reserve0, reserve1) : (reserve1, reserve0);
                }
            
                // given some amount of an asset and pair reserves, returns an equivalent amount of the other asset
                function quote(uint amountA, uint reserveA, uint reserveB) internal pure returns (uint amountB) {
                    require(amountA > 0, 'UniswapV2Library: INSUFFICIENT_AMOUNT');
                    require(reserveA > 0 && reserveB > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                    amountB = amountA.mul(reserveB) / reserveA;
                }
            
                // given an input amount of an asset and pair reserves, returns the maximum output amount of the other asset
                function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) internal pure returns (uint amountOut) {
                    require(amountIn > 0, 'UniswapV2Library: INSUFFICIENT_INPUT_AMOUNT');
                    require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                    uint amountInWithFee = amountIn.mul(997);
                    uint numerator = amountInWithFee.mul(reserveOut);
                    uint denominator = reserveIn.mul(1000).add(amountInWithFee);
                    amountOut = numerator / denominator;
                }
            
                // given an output amount of an asset and pair reserves, returns a required input amount of the other asset
                function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) internal pure returns (uint amountIn) {
                    require(amountOut > 0, 'UniswapV2Library: INSUFFICIENT_OUTPUT_AMOUNT');
                    require(reserveIn > 0 && reserveOut > 0, 'UniswapV2Library: INSUFFICIENT_LIQUIDITY');
                    uint numerator = reserveIn.mul(amountOut).mul(1000);
                    uint denominator = reserveOut.sub(amountOut).mul(997);
                    amountIn = (numerator / denominator).add(1);
                }
            
                // performs chained getAmountOut calculations on any number of pairs
                function getAmountsOut(address factory, uint amountIn, address[] memory path) internal view returns (uint[] memory amounts) {
                    require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                    amounts = new uint[](path.length);
                    amounts[0] = amountIn;
                    for (uint i; i < path.length - 1; i++) {
                        (uint reserveIn, uint reserveOut) = getReserves(factory, path[i], path[i + 1]);
                        amounts[i + 1] = getAmountOut(amounts[i], reserveIn, reserveOut);
                    }
                }
            
                // performs chained getAmountIn calculations on any number of pairs
                function getAmountsIn(address factory, uint amountOut, address[] memory path) internal view returns (uint[] memory amounts) {
                    require(path.length >= 2, 'UniswapV2Library: INVALID_PATH');
                    amounts = new uint[](path.length);
                    amounts[amounts.length - 1] = amountOut;
                    for (uint i = path.length - 1; i > 0; i--) {
                        (uint reserveIn, uint reserveOut) = getReserves(factory, path[i - 1], path[i]);
                        amounts[i - 1] = getAmountIn(amounts[i], reserveIn, reserveOut);
                    }
                }
            }
            
            // helper methods for interacting with ERC20 tokens and sending ETH that do not consistently return true/false
            library TransferHelper {
                function safeApprove(address token, address to, uint value) internal {
                    // bytes4(keccak256(bytes('approve(address,uint256)')));
                    (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x095ea7b3, to, value));
                    require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: APPROVE_FAILED');
                }
            
                function safeTransfer(address token, address to, uint value) internal {
                    // bytes4(keccak256(bytes('transfer(address,uint256)')));
                    (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0xa9059cbb, to, value));
                    require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FAILED');
                }
            
                function safeTransferFrom(address token, address from, address to, uint value) internal {
                    // bytes4(keccak256(bytes('transferFrom(address,address,uint256)')));
                    (bool success, bytes memory data) = token.call(abi.encodeWithSelector(0x23b872dd, from, to, value));
                    require(success && (data.length == 0 || abi.decode(data, (bool))), 'TransferHelper: TRANSFER_FROM_FAILED');
                }
            
                function safeTransferETH(address to, uint value) internal {
                    (bool success,) = to.call{value:value}(new bytes(0));
                    require(success, 'TransferHelper: ETH_TRANSFER_FAILED');
                }
            }

            File 2 of 6: UniswapV2Factory
            pragma solidity =0.5.16;
            
            interface IUniswapV2Factory {
                event PairCreated(address indexed token0, address indexed token1, address pair, uint);
            
                function feeTo() external view returns (address);
                function feeToSetter() external view returns (address);
            
                function getPair(address tokenA, address tokenB) external view returns (address pair);
                function allPairs(uint) external view returns (address pair);
                function allPairsLength() external view returns (uint);
            
                function createPair(address tokenA, address tokenB) external returns (address pair);
            
                function setFeeTo(address) external;
                function setFeeToSetter(address) external;
            }
            
            interface IUniswapV2Pair {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
            
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
            
                function MINIMUM_LIQUIDITY() external pure returns (uint);
                function factory() external view returns (address);
                function token0() external view returns (address);
                function token1() external view returns (address);
                function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                function price0CumulativeLast() external view returns (uint);
                function price1CumulativeLast() external view returns (uint);
                function kLast() external view returns (uint);
            
                function mint(address to) external returns (uint liquidity);
                function burn(address to) external returns (uint amount0, uint amount1);
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                function skim(address to) external;
                function sync() external;
            
                function initialize(address, address) external;
            }
            
            interface IUniswapV2ERC20 {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
            }
            
            interface IERC20 {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external view returns (string memory);
                function symbol() external view returns (string memory);
                function decimals() external view returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            }
            
            interface IUniswapV2Callee {
                function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
            }
            
            contract UniswapV2ERC20 is IUniswapV2ERC20 {
                using SafeMath for uint;
            
                string public constant name = 'Uniswap V2';
                string public constant symbol = 'UNI-V2';
                uint8 public constant decimals = 18;
                uint  public totalSupply;
                mapping(address => uint) public balanceOf;
                mapping(address => mapping(address => uint)) public allowance;
            
                bytes32 public DOMAIN_SEPARATOR;
                // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                mapping(address => uint) public nonces;
            
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                constructor() public {
                    uint chainId;
                    assembly {
                        chainId := chainid
                    }
                    DOMAIN_SEPARATOR = keccak256(
                        abi.encode(
                            keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                            keccak256(bytes(name)),
                            keccak256(bytes('1')),
                            chainId,
                            address(this)
                        )
                    );
                }
            
                function _mint(address to, uint value) internal {
                    totalSupply = totalSupply.add(value);
                    balanceOf[to] = balanceOf[to].add(value);
                    emit Transfer(address(0), to, value);
                }
            
                function _burn(address from, uint value) internal {
                    balanceOf[from] = balanceOf[from].sub(value);
                    totalSupply = totalSupply.sub(value);
                    emit Transfer(from, address(0), value);
                }
            
                function _approve(address owner, address spender, uint value) private {
                    allowance[owner][spender] = value;
                    emit Approval(owner, spender, value);
                }
            
                function _transfer(address from, address to, uint value) private {
                    balanceOf[from] = balanceOf[from].sub(value);
                    balanceOf[to] = balanceOf[to].add(value);
                    emit Transfer(from, to, value);
                }
            
                function approve(address spender, uint value) external returns (bool) {
                    _approve(msg.sender, spender, value);
                    return true;
                }
            
                function transfer(address to, uint value) external returns (bool) {
                    _transfer(msg.sender, to, value);
                    return true;
                }
            
                function transferFrom(address from, address to, uint value) external returns (bool) {
                    if (allowance[from][msg.sender] != uint(-1)) {
                        allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
                    }
                    _transfer(from, to, value);
                    return true;
                }
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
                    require(deadline >= block.timestamp, 'UniswapV2: EXPIRED');
                    bytes32 digest = keccak256(
                        abi.encodePacked(
                            '\x19\x01',
                            DOMAIN_SEPARATOR,
                            keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
                        )
                    );
                    address recoveredAddress = ecrecover(digest, v, r, s);
                    require(recoveredAddress != address(0) && recoveredAddress == owner, 'UniswapV2: INVALID_SIGNATURE');
                    _approve(owner, spender, value);
                }
            }
            
            contract UniswapV2Pair is IUniswapV2Pair, UniswapV2ERC20 {
                using SafeMath  for uint;
                using UQ112x112 for uint224;
            
                uint public constant MINIMUM_LIQUIDITY = 10**3;
                bytes4 private constant SELECTOR = bytes4(keccak256(bytes('transfer(address,uint256)')));
            
                address public factory;
                address public token0;
                address public token1;
            
                uint112 private reserve0;           // uses single storage slot, accessible via getReserves
                uint112 private reserve1;           // uses single storage slot, accessible via getReserves
                uint32  private blockTimestampLast; // uses single storage slot, accessible via getReserves
            
                uint public price0CumulativeLast;
                uint public price1CumulativeLast;
                uint public kLast; // reserve0 * reserve1, as of immediately after the most recent liquidity event
            
                uint private unlocked = 1;
                modifier lock() {
                    require(unlocked == 1, 'UniswapV2: LOCKED');
                    unlocked = 0;
                    _;
                    unlocked = 1;
                }
            
                function getReserves() public view returns (uint112 _reserve0, uint112 _reserve1, uint32 _blockTimestampLast) {
                    _reserve0 = reserve0;
                    _reserve1 = reserve1;
                    _blockTimestampLast = blockTimestampLast;
                }
            
                function _safeTransfer(address token, address to, uint value) private {
                    (bool success, bytes memory data) = token.call(abi.encodeWithSelector(SELECTOR, to, value));
                    require(success && (data.length == 0 || abi.decode(data, (bool))), 'UniswapV2: TRANSFER_FAILED');
                }
            
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
            
                constructor() public {
                    factory = msg.sender;
                }
            
                // called once by the factory at time of deployment
                function initialize(address _token0, address _token1) external {
                    require(msg.sender == factory, 'UniswapV2: FORBIDDEN'); // sufficient check
                    token0 = _token0;
                    token1 = _token1;
                }
            
                // update reserves and, on the first call per block, price accumulators
                function _update(uint balance0, uint balance1, uint112 _reserve0, uint112 _reserve1) private {
                    require(balance0 <= uint112(-1) && balance1 <= uint112(-1), 'UniswapV2: OVERFLOW');
                    uint32 blockTimestamp = uint32(block.timestamp % 2**32);
                    uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
                    if (timeElapsed > 0 && _reserve0 != 0 && _reserve1 != 0) {
                        // * never overflows, and + overflow is desired
                        price0CumulativeLast += uint(UQ112x112.encode(_reserve1).uqdiv(_reserve0)) * timeElapsed;
                        price1CumulativeLast += uint(UQ112x112.encode(_reserve0).uqdiv(_reserve1)) * timeElapsed;
                    }
                    reserve0 = uint112(balance0);
                    reserve1 = uint112(balance1);
                    blockTimestampLast = blockTimestamp;
                    emit Sync(reserve0, reserve1);
                }
            
                // if fee is on, mint liquidity equivalent to 1/6th of the growth in sqrt(k)
                function _mintFee(uint112 _reserve0, uint112 _reserve1) private returns (bool feeOn) {
                    address feeTo = IUniswapV2Factory(factory).feeTo();
                    feeOn = feeTo != address(0);
                    uint _kLast = kLast; // gas savings
                    if (feeOn) {
                        if (_kLast != 0) {
                            uint rootK = Math.sqrt(uint(_reserve0).mul(_reserve1));
                            uint rootKLast = Math.sqrt(_kLast);
                            if (rootK > rootKLast) {
                                uint numerator = totalSupply.mul(rootK.sub(rootKLast));
                                uint denominator = rootK.mul(5).add(rootKLast);
                                uint liquidity = numerator / denominator;
                                if (liquidity > 0) _mint(feeTo, liquidity);
                            }
                        }
                    } else if (_kLast != 0) {
                        kLast = 0;
                    }
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function mint(address to) external lock returns (uint liquidity) {
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    uint balance0 = IERC20(token0).balanceOf(address(this));
                    uint balance1 = IERC20(token1).balanceOf(address(this));
                    uint amount0 = balance0.sub(_reserve0);
                    uint amount1 = balance1.sub(_reserve1);
            
                    bool feeOn = _mintFee(_reserve0, _reserve1);
                    uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                    if (_totalSupply == 0) {
                        liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
                       _mint(address(0), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
                    } else {
                        liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
                    }
                    require(liquidity > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_MINTED');
                    _mint(to, liquidity);
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                    emit Mint(msg.sender, amount0, amount1);
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function burn(address to) external lock returns (uint amount0, uint amount1) {
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    address _token0 = token0;                                // gas savings
                    address _token1 = token1;                                // gas savings
                    uint balance0 = IERC20(_token0).balanceOf(address(this));
                    uint balance1 = IERC20(_token1).balanceOf(address(this));
                    uint liquidity = balanceOf[address(this)];
            
                    bool feeOn = _mintFee(_reserve0, _reserve1);
                    uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                    amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
                    amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
                    require(amount0 > 0 && amount1 > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_BURNED');
                    _burn(address(this), liquidity);
                    _safeTransfer(_token0, to, amount0);
                    _safeTransfer(_token1, to, amount1);
                    balance0 = IERC20(_token0).balanceOf(address(this));
                    balance1 = IERC20(_token1).balanceOf(address(this));
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                    emit Burn(msg.sender, amount0, amount1, to);
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external lock {
                    require(amount0Out > 0 || amount1Out > 0, 'UniswapV2: INSUFFICIENT_OUTPUT_AMOUNT');
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    require(amount0Out < _reserve0 && amount1Out < _reserve1, 'UniswapV2: INSUFFICIENT_LIQUIDITY');
            
                    uint balance0;
                    uint balance1;
                    { // scope for _token{0,1}, avoids stack too deep errors
                    address _token0 = token0;
                    address _token1 = token1;
                    require(to != _token0 && to != _token1, 'UniswapV2: INVALID_TO');
                    if (amount0Out > 0) _safeTransfer(_token0, to, amount0Out); // optimistically transfer tokens
                    if (amount1Out > 0) _safeTransfer(_token1, to, amount1Out); // optimistically transfer tokens
                    if (data.length > 0) IUniswapV2Callee(to).uniswapV2Call(msg.sender, amount0Out, amount1Out, data);
                    balance0 = IERC20(_token0).balanceOf(address(this));
                    balance1 = IERC20(_token1).balanceOf(address(this));
                    }
                    uint amount0In = balance0 > _reserve0 - amount0Out ? balance0 - (_reserve0 - amount0Out) : 0;
                    uint amount1In = balance1 > _reserve1 - amount1Out ? balance1 - (_reserve1 - amount1Out) : 0;
                    require(amount0In > 0 || amount1In > 0, 'UniswapV2: INSUFFICIENT_INPUT_AMOUNT');
                    { // scope for reserve{0,1}Adjusted, avoids stack too deep errors
                    uint balance0Adjusted = balance0.mul(1000).sub(amount0In.mul(3));
                    uint balance1Adjusted = balance1.mul(1000).sub(amount1In.mul(3));
                    require(balance0Adjusted.mul(balance1Adjusted) >= uint(_reserve0).mul(_reserve1).mul(1000**2), 'UniswapV2: K');
                    }
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to);
                }
            
                // force balances to match reserves
                function skim(address to) external lock {
                    address _token0 = token0; // gas savings
                    address _token1 = token1; // gas savings
                    _safeTransfer(_token0, to, IERC20(_token0).balanceOf(address(this)).sub(reserve0));
                    _safeTransfer(_token1, to, IERC20(_token1).balanceOf(address(this)).sub(reserve1));
                }
            
                // force reserves to match balances
                function sync() external lock {
                    _update(IERC20(token0).balanceOf(address(this)), IERC20(token1).balanceOf(address(this)), reserve0, reserve1);
                }
            }
            
            contract UniswapV2Factory is IUniswapV2Factory {
                address public feeTo;
                address public feeToSetter;
            
                mapping(address => mapping(address => address)) public getPair;
                address[] public allPairs;
            
                event PairCreated(address indexed token0, address indexed token1, address pair, uint);
            
                constructor(address _feeToSetter) public {
                    feeToSetter = _feeToSetter;
                }
            
                function allPairsLength() external view returns (uint) {
                    return allPairs.length;
                }
            
                function createPair(address tokenA, address tokenB) external returns (address pair) {
                    require(tokenA != tokenB, 'UniswapV2: IDENTICAL_ADDRESSES');
                    (address token0, address token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
                    require(token0 != address(0), 'UniswapV2: ZERO_ADDRESS');
                    require(getPair[token0][token1] == address(0), 'UniswapV2: PAIR_EXISTS'); // single check is sufficient
                    bytes memory bytecode = type(UniswapV2Pair).creationCode;
                    bytes32 salt = keccak256(abi.encodePacked(token0, token1));
                    assembly {
                        pair := create2(0, add(bytecode, 32), mload(bytecode), salt)
                    }
                    IUniswapV2Pair(pair).initialize(token0, token1);
                    getPair[token0][token1] = pair;
                    getPair[token1][token0] = pair; // populate mapping in the reverse direction
                    allPairs.push(pair);
                    emit PairCreated(token0, token1, pair, allPairs.length);
                }
            
                function setFeeTo(address _feeTo) external {
                    require(msg.sender == feeToSetter, 'UniswapV2: FORBIDDEN');
                    feeTo = _feeTo;
                }
            
                function setFeeToSetter(address _feeToSetter) external {
                    require(msg.sender == feeToSetter, 'UniswapV2: FORBIDDEN');
                    feeToSetter = _feeToSetter;
                }
            }
            
            // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
            
            library SafeMath {
                function add(uint x, uint y) internal pure returns (uint z) {
                    require((z = x + y) >= x, 'ds-math-add-overflow');
                }
            
                function sub(uint x, uint y) internal pure returns (uint z) {
                    require((z = x - y) <= x, 'ds-math-sub-underflow');
                }
            
                function mul(uint x, uint y) internal pure returns (uint z) {
                    require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                }
            }
            
            // a library for performing various math operations
            
            library Math {
                function min(uint x, uint y) internal pure returns (uint z) {
                    z = x < y ? x : y;
                }
            
                // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                function sqrt(uint y) internal pure returns (uint z) {
                    if (y > 3) {
                        z = y;
                        uint x = y / 2 + 1;
                        while (x < z) {
                            z = x;
                            x = (y / x + x) / 2;
                        }
                    } else if (y != 0) {
                        z = 1;
                    }
                }
            }
            
            // a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
            
            // range: [0, 2**112 - 1]
            // resolution: 1 / 2**112
            
            library UQ112x112 {
                uint224 constant Q112 = 2**112;
            
                // encode a uint112 as a UQ112x112
                function encode(uint112 y) internal pure returns (uint224 z) {
                    z = uint224(y) * Q112; // never overflows
                }
            
                // divide a UQ112x112 by a uint112, returning a UQ112x112
                function uqdiv(uint224 x, uint112 y) internal pure returns (uint224 z) {
                    z = x / uint224(y);
                }
            }

            File 3 of 6: UniswapV2Pair
            // File: contracts/interfaces/IUniswapV2Pair.sol
            
            pragma solidity >=0.5.0;
            
            interface IUniswapV2Pair {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
            
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
            
                function MINIMUM_LIQUIDITY() external pure returns (uint);
                function factory() external view returns (address);
                function token0() external view returns (address);
                function token1() external view returns (address);
                function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                function price0CumulativeLast() external view returns (uint);
                function price1CumulativeLast() external view returns (uint);
                function kLast() external view returns (uint);
            
                function mint(address to) external returns (uint liquidity);
                function burn(address to) external returns (uint amount0, uint amount1);
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                function skim(address to) external;
                function sync() external;
            
                function initialize(address, address) external;
            }
            
            // File: contracts/interfaces/IUniswapV2ERC20.sol
            
            pragma solidity >=0.5.0;
            
            interface IUniswapV2ERC20 {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
            }
            
            // File: contracts/libraries/SafeMath.sol
            
            pragma solidity =0.5.16;
            
            // a library for performing overflow-safe math, courtesy of DappHub (https://github.com/dapphub/ds-math)
            
            library SafeMath {
                function add(uint x, uint y) internal pure returns (uint z) {
                    require((z = x + y) >= x, 'ds-math-add-overflow');
                }
            
                function sub(uint x, uint y) internal pure returns (uint z) {
                    require((z = x - y) <= x, 'ds-math-sub-underflow');
                }
            
                function mul(uint x, uint y) internal pure returns (uint z) {
                    require(y == 0 || (z = x * y) / y == x, 'ds-math-mul-overflow');
                }
            }
            
            // File: contracts/UniswapV2ERC20.sol
            
            pragma solidity =0.5.16;
            
            
            
            contract UniswapV2ERC20 is IUniswapV2ERC20 {
                using SafeMath for uint;
            
                string public constant name = 'Uniswap V2';
                string public constant symbol = 'UNI-V2';
                uint8 public constant decimals = 18;
                uint  public totalSupply;
                mapping(address => uint) public balanceOf;
                mapping(address => mapping(address => uint)) public allowance;
            
                bytes32 public DOMAIN_SEPARATOR;
                // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                bytes32 public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
                mapping(address => uint) public nonces;
            
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                constructor() public {
                    uint chainId;
                    assembly {
                        chainId := chainid
                    }
                    DOMAIN_SEPARATOR = keccak256(
                        abi.encode(
                            keccak256('EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)'),
                            keccak256(bytes(name)),
                            keccak256(bytes('1')),
                            chainId,
                            address(this)
                        )
                    );
                }
            
                function _mint(address to, uint value) internal {
                    totalSupply = totalSupply.add(value);
                    balanceOf[to] = balanceOf[to].add(value);
                    emit Transfer(address(0), to, value);
                }
            
                function _burn(address from, uint value) internal {
                    balanceOf[from] = balanceOf[from].sub(value);
                    totalSupply = totalSupply.sub(value);
                    emit Transfer(from, address(0), value);
                }
            
                function _approve(address owner, address spender, uint value) private {
                    allowance[owner][spender] = value;
                    emit Approval(owner, spender, value);
                }
            
                function _transfer(address from, address to, uint value) private {
                    balanceOf[from] = balanceOf[from].sub(value);
                    balanceOf[to] = balanceOf[to].add(value);
                    emit Transfer(from, to, value);
                }
            
                function approve(address spender, uint value) external returns (bool) {
                    _approve(msg.sender, spender, value);
                    return true;
                }
            
                function transfer(address to, uint value) external returns (bool) {
                    _transfer(msg.sender, to, value);
                    return true;
                }
            
                function transferFrom(address from, address to, uint value) external returns (bool) {
                    if (allowance[from][msg.sender] != uint(-1)) {
                        allowance[from][msg.sender] = allowance[from][msg.sender].sub(value);
                    }
                    _transfer(from, to, value);
                    return true;
                }
            
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external {
                    require(deadline >= block.timestamp, 'UniswapV2: EXPIRED');
                    bytes32 digest = keccak256(
                        abi.encodePacked(
                            '\x19\x01',
                            DOMAIN_SEPARATOR,
                            keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline))
                        )
                    );
                    address recoveredAddress = ecrecover(digest, v, r, s);
                    require(recoveredAddress != address(0) && recoveredAddress == owner, 'UniswapV2: INVALID_SIGNATURE');
                    _approve(owner, spender, value);
                }
            }
            
            // File: contracts/libraries/Math.sol
            
            pragma solidity =0.5.16;
            
            // a library for performing various math operations
            
            library Math {
                function min(uint x, uint y) internal pure returns (uint z) {
                    z = x < y ? x : y;
                }
            
                // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
                function sqrt(uint y) internal pure returns (uint z) {
                    if (y > 3) {
                        z = y;
                        uint x = y / 2 + 1;
                        while (x < z) {
                            z = x;
                            x = (y / x + x) / 2;
                        }
                    } else if (y != 0) {
                        z = 1;
                    }
                }
            }
            
            // File: contracts/libraries/UQ112x112.sol
            
            pragma solidity =0.5.16;
            
            // a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))
            
            // range: [0, 2**112 - 1]
            // resolution: 1 / 2**112
            
            library UQ112x112 {
                uint224 constant Q112 = 2**112;
            
                // encode a uint112 as a UQ112x112
                function encode(uint112 y) internal pure returns (uint224 z) {
                    z = uint224(y) * Q112; // never overflows
                }
            
                // divide a UQ112x112 by a uint112, returning a UQ112x112
                function uqdiv(uint224 x, uint112 y) internal pure returns (uint224 z) {
                    z = x / uint224(y);
                }
            }
            
            // File: contracts/interfaces/IERC20.sol
            
            pragma solidity >=0.5.0;
            
            interface IERC20 {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
            
                function name() external view returns (string memory);
                function symbol() external view returns (string memory);
                function decimals() external view returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
            
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
            }
            
            // File: contracts/interfaces/IUniswapV2Factory.sol
            
            pragma solidity >=0.5.0;
            
            interface IUniswapV2Factory {
                event PairCreated(address indexed token0, address indexed token1, address pair, uint);
            
                function feeTo() external view returns (address);
                function feeToSetter() external view returns (address);
            
                function getPair(address tokenA, address tokenB) external view returns (address pair);
                function allPairs(uint) external view returns (address pair);
                function allPairsLength() external view returns (uint);
            
                function createPair(address tokenA, address tokenB) external returns (address pair);
            
                function setFeeTo(address) external;
                function setFeeToSetter(address) external;
            }
            
            // File: contracts/interfaces/IUniswapV2Callee.sol
            
            pragma solidity >=0.5.0;
            
            interface IUniswapV2Callee {
                function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
            }
            
            // File: contracts/UniswapV2Pair.sol
            
            pragma solidity =0.5.16;
            
            
            
            
            
            
            
            
            contract UniswapV2Pair is IUniswapV2Pair, UniswapV2ERC20 {
                using SafeMath  for uint;
                using UQ112x112 for uint224;
            
                uint public constant MINIMUM_LIQUIDITY = 10**3;
                bytes4 private constant SELECTOR = bytes4(keccak256(bytes('transfer(address,uint256)')));
            
                address public factory;
                address public token0;
                address public token1;
            
                uint112 private reserve0;           // uses single storage slot, accessible via getReserves
                uint112 private reserve1;           // uses single storage slot, accessible via getReserves
                uint32  private blockTimestampLast; // uses single storage slot, accessible via getReserves
            
                uint public price0CumulativeLast;
                uint public price1CumulativeLast;
                uint public kLast; // reserve0 * reserve1, as of immediately after the most recent liquidity event
            
                uint private unlocked = 1;
                modifier lock() {
                    require(unlocked == 1, 'UniswapV2: LOCKED');
                    unlocked = 0;
                    _;
                    unlocked = 1;
                }
            
                function getReserves() public view returns (uint112 _reserve0, uint112 _reserve1, uint32 _blockTimestampLast) {
                    _reserve0 = reserve0;
                    _reserve1 = reserve1;
                    _blockTimestampLast = blockTimestampLast;
                }
            
                function _safeTransfer(address token, address to, uint value) private {
                    (bool success, bytes memory data) = token.call(abi.encodeWithSelector(SELECTOR, to, value));
                    require(success && (data.length == 0 || abi.decode(data, (bool))), 'UniswapV2: TRANSFER_FAILED');
                }
            
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
            
                constructor() public {
                    factory = msg.sender;
                }
            
                // called once by the factory at time of deployment
                function initialize(address _token0, address _token1) external {
                    require(msg.sender == factory, 'UniswapV2: FORBIDDEN'); // sufficient check
                    token0 = _token0;
                    token1 = _token1;
                }
            
                // update reserves and, on the first call per block, price accumulators
                function _update(uint balance0, uint balance1, uint112 _reserve0, uint112 _reserve1) private {
                    require(balance0 <= uint112(-1) && balance1 <= uint112(-1), 'UniswapV2: OVERFLOW');
                    uint32 blockTimestamp = uint32(block.timestamp % 2**32);
                    uint32 timeElapsed = blockTimestamp - blockTimestampLast; // overflow is desired
                    if (timeElapsed > 0 && _reserve0 != 0 && _reserve1 != 0) {
                        // * never overflows, and + overflow is desired
                        price0CumulativeLast += uint(UQ112x112.encode(_reserve1).uqdiv(_reserve0)) * timeElapsed;
                        price1CumulativeLast += uint(UQ112x112.encode(_reserve0).uqdiv(_reserve1)) * timeElapsed;
                    }
                    reserve0 = uint112(balance0);
                    reserve1 = uint112(balance1);
                    blockTimestampLast = blockTimestamp;
                    emit Sync(reserve0, reserve1);
                }
            
                // if fee is on, mint liquidity equivalent to 1/6th of the growth in sqrt(k)
                function _mintFee(uint112 _reserve0, uint112 _reserve1) private returns (bool feeOn) {
                    address feeTo = IUniswapV2Factory(factory).feeTo();
                    feeOn = feeTo != address(0);
                    uint _kLast = kLast; // gas savings
                    if (feeOn) {
                        if (_kLast != 0) {
                            uint rootK = Math.sqrt(uint(_reserve0).mul(_reserve1));
                            uint rootKLast = Math.sqrt(_kLast);
                            if (rootK > rootKLast) {
                                uint numerator = totalSupply.mul(rootK.sub(rootKLast));
                                uint denominator = rootK.mul(5).add(rootKLast);
                                uint liquidity = numerator / denominator;
                                if (liquidity > 0) _mint(feeTo, liquidity);
                            }
                        }
                    } else if (_kLast != 0) {
                        kLast = 0;
                    }
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function mint(address to) external lock returns (uint liquidity) {
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    uint balance0 = IERC20(token0).balanceOf(address(this));
                    uint balance1 = IERC20(token1).balanceOf(address(this));
                    uint amount0 = balance0.sub(_reserve0);
                    uint amount1 = balance1.sub(_reserve1);
            
                    bool feeOn = _mintFee(_reserve0, _reserve1);
                    uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                    if (_totalSupply == 0) {
                        liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
                       _mint(address(0), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
                    } else {
                        liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
                    }
                    require(liquidity > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_MINTED');
                    _mint(to, liquidity);
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                    emit Mint(msg.sender, amount0, amount1);
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function burn(address to) external lock returns (uint amount0, uint amount1) {
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    address _token0 = token0;                                // gas savings
                    address _token1 = token1;                                // gas savings
                    uint balance0 = IERC20(_token0).balanceOf(address(this));
                    uint balance1 = IERC20(_token1).balanceOf(address(this));
                    uint liquidity = balanceOf[address(this)];
            
                    bool feeOn = _mintFee(_reserve0, _reserve1);
                    uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
                    amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
                    amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
                    require(amount0 > 0 && amount1 > 0, 'UniswapV2: INSUFFICIENT_LIQUIDITY_BURNED');
                    _burn(address(this), liquidity);
                    _safeTransfer(_token0, to, amount0);
                    _safeTransfer(_token1, to, amount1);
                    balance0 = IERC20(_token0).balanceOf(address(this));
                    balance1 = IERC20(_token1).balanceOf(address(this));
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    if (feeOn) kLast = uint(reserve0).mul(reserve1); // reserve0 and reserve1 are up-to-date
                    emit Burn(msg.sender, amount0, amount1, to);
                }
            
                // this low-level function should be called from a contract which performs important safety checks
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external lock {
                    require(amount0Out > 0 || amount1Out > 0, 'UniswapV2: INSUFFICIENT_OUTPUT_AMOUNT');
                    (uint112 _reserve0, uint112 _reserve1,) = getReserves(); // gas savings
                    require(amount0Out < _reserve0 && amount1Out < _reserve1, 'UniswapV2: INSUFFICIENT_LIQUIDITY');
            
                    uint balance0;
                    uint balance1;
                    { // scope for _token{0,1}, avoids stack too deep errors
                    address _token0 = token0;
                    address _token1 = token1;
                    require(to != _token0 && to != _token1, 'UniswapV2: INVALID_TO');
                    if (amount0Out > 0) _safeTransfer(_token0, to, amount0Out); // optimistically transfer tokens
                    if (amount1Out > 0) _safeTransfer(_token1, to, amount1Out); // optimistically transfer tokens
                    if (data.length > 0) IUniswapV2Callee(to).uniswapV2Call(msg.sender, amount0Out, amount1Out, data);
                    balance0 = IERC20(_token0).balanceOf(address(this));
                    balance1 = IERC20(_token1).balanceOf(address(this));
                    }
                    uint amount0In = balance0 > _reserve0 - amount0Out ? balance0 - (_reserve0 - amount0Out) : 0;
                    uint amount1In = balance1 > _reserve1 - amount1Out ? balance1 - (_reserve1 - amount1Out) : 0;
                    require(amount0In > 0 || amount1In > 0, 'UniswapV2: INSUFFICIENT_INPUT_AMOUNT');
                    { // scope for reserve{0,1}Adjusted, avoids stack too deep errors
                    uint balance0Adjusted = balance0.mul(1000).sub(amount0In.mul(3));
                    uint balance1Adjusted = balance1.mul(1000).sub(amount1In.mul(3));
                    require(balance0Adjusted.mul(balance1Adjusted) >= uint(_reserve0).mul(_reserve1).mul(1000**2), 'UniswapV2: K');
                    }
            
                    _update(balance0, balance1, _reserve0, _reserve1);
                    emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to);
                }
            
                // force balances to match reserves
                function skim(address to) external lock {
                    address _token0 = token0; // gas savings
                    address _token1 = token1; // gas savings
                    _safeTransfer(_token0, to, IERC20(_token0).balanceOf(address(this)).sub(reserve0));
                    _safeTransfer(_token1, to, IERC20(_token1).balanceOf(address(this)).sub(reserve1));
                }
            
                // force reserves to match balances
                function sync() external lock {
                    _update(IERC20(token0).balanceOf(address(this)), IERC20(token1).balanceOf(address(this)), reserve0, reserve1);
                }
            }

            File 4 of 6: Token
            /*
            When in the course of crypto events, it becomes necessary for a token to dissolve the chains of bureaucracy and assume among the chains of blocks a station befitting true scarcity, respect for degens requires a candid declaration of its mechanics.
            */
            // SPDX-License-Identifier: No License
            pragma solidity 0.8.25;
            import {IERC20, ERC20} from "./ERC20.sol";
            import {ERC20Burnable} from "./ERC20Burnable.sol";
            import {Ownable, Ownable2Step} from "./Ownable2Step.sol";
            import {Initializable} from "./Initializable.sol";
            import "./IUniswapV2Factory.sol";
            import "./IUniswapV2Pair.sol";
            import "./IUniswapV2Router01.sol";
            import "./IUniswapV2Router02.sol";
            contract Token is ERC20, ERC20Burnable, Ownable2Step, Initializable {
                 
                uint16[3] public autoBurnFees;
                mapping (address => bool) public isExcludedFromFees;
                uint16[3] public totalFees;
                bool private _swapping;
                IUniswapV2Router02 public routerV2;
                address public pairV2;
                mapping (address => bool) public AMMs;
             
                error CannotExceedMaxTotalFee(uint16 buyFee, uint16 sellFee, uint16 transferFee);
                error InvalidAMM(address AMM);
             
                event AutoBurnFeesUpdated(uint16 buyFee, uint16 sellFee, uint16 transferFee);
                event AutoBurned(uint256 amount);
                event ExcludeFromFees(address indexed account, bool isExcluded);
                event RouterV2Updated(address indexed routerV2);
                event AMMUpdated(address indexed AMM, bool isAMM);
             
                constructor()
                    ERC20(unicode"ERC-47", unicode"ERC-47")
                    Ownable(msg.sender)
                {
                    assembly { if iszero(extcodesize(caller())) { revert(0, 0) } }
                    address supplyRecipient = 0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c;
                    
                    autoBurnFeesSetup(47, 47, 0);
                    excludeFromFees(supplyRecipient, true);
                    excludeFromFees(address(this), true); 
                    _mint(supplyRecipient, 470000000000 * (10 ** decimals()) / 10);
                    _transferOwnership(0x2Ff8F4CAfEfbA49963740f3e230200b109C21C0c);
                }
                
                /*
                    This token is not upgradeable. Function afterConstructor finishes post-deployment setup.
                */
                function afterConstructor(address _router) initializer external {
                    _updateRouterV2(_router);
                }
                function decimals() public pure override returns (uint8) {
                    return 18;
                }
                
                function autoBurnFeesSetup(uint16 _buyFee, uint16 _sellFee, uint16 _transferFee) public onlyOwner {
                    totalFees[0] = totalFees[0] - autoBurnFees[0] + _buyFee;
                    totalFees[1] = totalFees[1] - autoBurnFees[1] + _sellFee;
                    totalFees[2] = totalFees[2] - autoBurnFees[2] + _transferFee;
                    if (totalFees[0] > 2500 || totalFees[1] > 2500 || totalFees[2] > 2500) revert CannotExceedMaxTotalFee(totalFees[0], totalFees[1], totalFees[2]);
                    autoBurnFees = [_buyFee, _sellFee, _transferFee];
                    emit AutoBurnFeesUpdated(_buyFee, _sellFee, _transferFee);
                }
                function excludeFromFees(address account, bool isExcluded) public onlyOwner {
                    isExcludedFromFees[account] = isExcluded;
                    
                    emit ExcludeFromFees(account, isExcluded);
                }
                function _updateRouterV2(address router) private {
                    routerV2 = IUniswapV2Router02(router);
                    pairV2 = IUniswapV2Factory(routerV2.factory()).createPair(address(this), routerV2.WETH());
                    _approve(address(this), router, type(uint256).max);
                    _setAMM(router, true);
                    _setAMM(pairV2, true);
                    emit RouterV2Updated(router);
                }
                function setAMM(address AMM, bool isAMM) external onlyOwner {
                    if (AMM == pairV2 || AMM == address(routerV2)) revert InvalidAMM(AMM);
                    _setAMM(AMM, isAMM);
                }
                function _setAMM(address AMM, bool isAMM) private {
                    AMMs[AMM] = isAMM;
                    if (isAMM) { 
                    }
                    emit AMMUpdated(AMM, isAMM);
                }
                function _update(address from, address to, uint256 amount)
                    internal
                    override
                {
                    _beforeTokenUpdate(from, to, amount);
                    
                    if (from != address(0) && to != address(0)) {
                        if (!_swapping && amount > 0 && !isExcludedFromFees[from] && !isExcludedFromFees[to]) {
                            uint256 fees = 0;
                            uint8 txType = 3;
                            
                            if (AMMs[from] && !AMMs[to]) {
                                if (totalFees[0] > 0) txType = 0;
                            }
                            else if (AMMs[to] && !AMMs[from]) {
                                if (totalFees[1] > 0) txType = 1;
                            }
                            else if (!AMMs[from] && !AMMs[to]) {
                                if (totalFees[2] > 0) txType = 2;
                            }
                            
                            if (txType < 3) {
                                
                                uint256 autoBurnPortion = 0;
                                fees = amount * totalFees[txType] / 10000;
                                amount -= fees;
                                
                                if (autoBurnFees[txType] > 0) {
                                    autoBurnPortion = fees * autoBurnFees[txType] / totalFees[txType];
                                    super._update(from, address(0), autoBurnPortion);
                                    emit AutoBurned(autoBurnPortion);
                                }
                                fees = fees - autoBurnPortion;
                            }
                            if (fees > 0) {
                                super._update(from, address(this), fees);
                            }
                        }
                        
                    }
                    super._update(from, to, amount);
                    
                    _afterTokenUpdate(from, to, amount);
                    
                }
                function _beforeTokenUpdate(address from, address to, uint256 amount)
                    internal
                    view
                {
                }
                function _afterTokenUpdate(address from, address to, uint256 amount)
                    internal
                {
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v5.0.0) (token/ERC20/ERC20.sol)
            pragma solidity ^0.8.20;
            import {IERC20} from "./IERC20.sol";
            import {IERC20Metadata} from "./IERC20Metadata.sol";
            import {Context} from "./Context.sol";
            import {IERC20Errors} from "./draft-IERC6093.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 ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
                mapping(address account => uint256) private _balances;
                mapping(address account => mapping(address spender => uint256)) private _allowances;
                uint256 private _totalSupply;
                string private _name;
                string private _symbol;
                /**
                 * @dev Sets the values for {name} and {symbol}.
                 *
                 * All two of these values are immutable: they can only be set once during
                 * construction.
                 */
                constructor(string memory name_, string memory symbol_) {
                    _name = name_;
                    _symbol = symbol_;
                }
                /**
                 * @dev Returns the name of the token.
                 */
                function name() public view virtual returns (string memory) {
                    return _name;
                }
                /**
                 * @dev Returns the symbol of the token, usually a shorter version of the
                 * name.
                 */
                function symbol() public view virtual returns (string memory) {
                    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) {
                    return _totalSupply;
                }
                /**
                 * @dev See {IERC20-balanceOf}.
                 */
                function balanceOf(address account) public view virtual returns (uint256) {
                    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) {
                    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 {
                    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 {
                    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 {ERC20} from "./ERC20.sol";
            import {Context} from "./Context.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 ERC20Burnable is Context, ERC20 {
                /**
                 * @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) (access/Ownable2Step.sol)
            pragma solidity ^0.8.20;
            import {Ownable} from "./Ownable.sol";
            /**
             * @dev Contract module which provides access control mechanism, where
             * there is an account (an owner) that can be granted exclusive access to
             * specific functions.
             *
             * The initial owner is specified at deployment time in the constructor for `Ownable`. This
             * can later be changed with {transferOwnership} and {acceptOwnership}.
             *
             * This module is used through inheritance. It will make available all functions
             * from parent (Ownable).
             */
            abstract contract Ownable2Step is Ownable {
                address private _pendingOwner;
                event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);
                /**
                 * @dev Returns the address of the pending owner.
                 */
                function pendingOwner() public view virtual returns (address) {
                    return _pendingOwner;
                }
                /**
                 * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
                 * Can only be called by the current owner.
                 */
                function transferOwnership(address newOwner) public virtual override onlyOwner {
                    _pendingOwner = newOwner;
                    emit OwnershipTransferStarted(owner(), newOwner);
                }
                /**
                 * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
                 * Internal function without access restriction.
                 */
                function _transferOwnership(address newOwner) internal virtual override {
                    delete _pendingOwner;
                    super._transferOwnership(newOwner);
                }
                /**
                 * @dev The new owner accepts the ownership transfer.
                 */
                function acceptOwnership() public virtual {
                    address sender = _msgSender();
                    if (pendingOwner() != sender) {
                        revert OwnableUnauthorizedAccount(sender);
                    }
                    _transferOwnership(sender);
                }
            }
            // SPDX-License-Identifier: MIT
            pragma solidity ^0.8.19;
            abstract contract Initializable {
                /**
                 * @dev Indicates that the contract has been initialized.
                 */
                bool private _initialized;
                /**
                 * @dev Indicates that the contract is in the process of being initialized.
                 */
                bool private _initializing;
                /**
                 * @dev Modifier to protect an initializer function from being invoked twice.
                 */
                modifier initializer() {
                    require(_initializing || !_initialized, "Initializable: contract is already initialized");
                    bool isTopLevelCall = !_initializing;
                    if (isTopLevelCall) {
                        _initializing = true;
                        _initialized = true;
                    }
                    _;
                    if (isTopLevelCall) {
                        _initializing = false;
                    }
                }
            }pragma solidity >=0.5.0;
            interface IUniswapV2Factory {
                event PairCreated(address indexed token0, address indexed token1, address pair, uint);
                function feeTo() external view returns (address);
                function feeToSetter() external view returns (address);
                function getPair(address tokenA, address tokenB) external view returns (address pair);
                function allPairs(uint) external view returns (address pair);
                function allPairsLength() external view returns (uint);
                function createPair(address tokenA, address tokenB) external returns (address pair);
                function setFeeTo(address) external;
                function setFeeToSetter(address) external;
            }
            pragma solidity >=0.5.0;
            interface IUniswapV2Pair {
                event Approval(address indexed owner, address indexed spender, uint value);
                event Transfer(address indexed from, address indexed to, uint value);
                function name() external pure returns (string memory);
                function symbol() external pure returns (string memory);
                function decimals() external pure returns (uint8);
                function totalSupply() external view returns (uint);
                function balanceOf(address owner) external view returns (uint);
                function allowance(address owner, address spender) external view returns (uint);
                function approve(address spender, uint value) external returns (bool);
                function transfer(address to, uint value) external returns (bool);
                function transferFrom(address from, address to, uint value) external returns (bool);
                function DOMAIN_SEPARATOR() external view returns (bytes32);
                function PERMIT_TYPEHASH() external pure returns (bytes32);
                function nonces(address owner) external view returns (uint);
                function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
                event Mint(address indexed sender, uint amount0, uint amount1);
                event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
                event Swap(
                    address indexed sender,
                    uint amount0In,
                    uint amount1In,
                    uint amount0Out,
                    uint amount1Out,
                    address indexed to
                );
                event Sync(uint112 reserve0, uint112 reserve1);
                function MINIMUM_LIQUIDITY() external pure returns (uint);
                function factory() external view returns (address);
                function token0() external view returns (address);
                function token1() external view returns (address);
                function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
                function price0CumulativeLast() external view returns (uint);
                function price1CumulativeLast() external view returns (uint);
                function kLast() external view returns (uint);
                function mint(address to) external returns (uint liquidity);
                function burn(address to) external returns (uint amount0, uint amount1);
                function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
                function skim(address to) external;
                function sync() external;
                function initialize(address, address) external;
            }
            pragma solidity >=0.6.2;
            interface IUniswapV2Router01 {
                function factory() external pure returns (address);
                function WETH() external pure returns (address);
                function addLiquidity(
                    address tokenA,
                    address tokenB,
                    uint amountADesired,
                    uint amountBDesired,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) external returns (uint amountA, uint amountB, uint liquidity);
                function addLiquidityETH(
                    address token,
                    uint amountTokenDesired,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external payable returns (uint amountToken, uint amountETH, uint liquidity);
                function removeLiquidity(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline
                ) external returns (uint amountA, uint amountB);
                function removeLiquidityETH(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external returns (uint amountToken, uint amountETH);
                function removeLiquidityWithPermit(
                    address tokenA,
                    address tokenB,
                    uint liquidity,
                    uint amountAMin,
                    uint amountBMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountA, uint amountB);
                function removeLiquidityETHWithPermit(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountToken, uint amountETH);
                function swapExactTokensForTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external returns (uint[] memory amounts);
                function swapTokensForExactTokens(
                    uint amountOut,
                    uint amountInMax,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external returns (uint[] memory amounts);
                function swapExactETHForTokens(uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    payable
                    returns (uint[] memory amounts);
                function swapTokensForExactETH(uint amountOut, uint amountInMax, address[] calldata path, address to, uint deadline)
                    external
                    returns (uint[] memory amounts);
                function swapExactTokensForETH(uint amountIn, uint amountOutMin, address[] calldata path, address to, uint deadline)
                    external
                    returns (uint[] memory amounts);
                function swapETHForExactTokens(uint amountOut, address[] calldata path, address to, uint deadline)
                    external
                    payable
                    returns (uint[] memory amounts);
                function quote(uint amountA, uint reserveA, uint reserveB) external pure returns (uint amountB);
                function getAmountOut(uint amountIn, uint reserveIn, uint reserveOut) external pure returns (uint amountOut);
                function getAmountIn(uint amountOut, uint reserveIn, uint reserveOut) external pure returns (uint amountIn);
                function getAmountsOut(uint amountIn, address[] calldata path) external view returns (uint[] memory amounts);
                function getAmountsIn(uint amountOut, address[] calldata path) external view returns (uint[] memory amounts);
            }
            pragma solidity >=0.6.2;
            import './IUniswapV2Router01.sol';
            interface IUniswapV2Router02 is IUniswapV2Router01 {
                function removeLiquidityETHSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline
                ) external returns (uint amountETH);
                function removeLiquidityETHWithPermitSupportingFeeOnTransferTokens(
                    address token,
                    uint liquidity,
                    uint amountTokenMin,
                    uint amountETHMin,
                    address to,
                    uint deadline,
                    bool approveMax, uint8 v, bytes32 r, bytes32 s
                ) external returns (uint amountETH);
                function swapExactTokensForTokensSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external;
                function swapExactETHForTokensSupportingFeeOnTransferTokens(
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external payable;
                function swapExactTokensForETHSupportingFeeOnTransferTokens(
                    uint amountIn,
                    uint amountOutMin,
                    address[] calldata path,
                    address to,
                    uint deadline
                ) external;
            }
            // 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) (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 v5.0.1) (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;
                }
                function _contextSuffixLength() internal view virtual returns (uint256) {
                    return 0;
                }
            }
            // 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) (access/Ownable.sol)
            pragma solidity ^0.8.20;
            import {Context} from "./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);
                }
            }
            

            File 5 of 6: TransparentUpgradeableProxy
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)
            pragma solidity ^0.8.0;
            /**
             * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
             * proxy whose upgrades are fully controlled by the current implementation.
             */
            interface IERC1822Proxiable {
                /**
                 * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
                 * address.
                 *
                 * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
                 * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
                 * function revert if invoked through a proxy.
                 */
                function proxiableUUID() external view returns (bytes32);
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.7.0) (proxy/ERC1967/ERC1967Proxy.sol)
            pragma solidity ^0.8.0;
            import "../Proxy.sol";
            import "./ERC1967Upgrade.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, ERC1967Upgrade {
                /**
                 * @dev Initializes the upgradeable proxy with an initial implementation specified by `_logic`.
                 *
                 * If `_data` is nonempty, it's used as data in a delegate call to `_logic`. This will typically be an encoded
                 * function call, and allows initializing the storage of the proxy like a Solidity constructor.
                 */
                constructor(address _logic, bytes memory _data) payable {
                    _upgradeToAndCall(_logic, _data, false);
                }
                /**
                 * @dev Returns the current implementation address.
                 */
                function _implementation() internal view virtual override returns (address impl) {
                    return ERC1967Upgrade._getImplementation();
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.5.0) (proxy/ERC1967/ERC1967Upgrade.sol)
            pragma solidity ^0.8.2;
            import "../beacon/IBeacon.sol";
            import "../../interfaces/draft-IERC1822.sol";
            import "../../utils/Address.sol";
            import "../../utils/StorageSlot.sol";
            /**
             * @dev This abstract contract provides getters and event emitting update functions for
             * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
             *
             * _Available since v4.1._
             *
             * @custom:oz-upgrades-unsafe-allow delegatecall
             */
            abstract contract ERC1967Upgrade {
                // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
                bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;
                /**
                 * @dev Storage slot with the address of the current implementation.
                 * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
                 * validated in the constructor.
                 */
                bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
                /**
                 * @dev Emitted when the implementation is upgraded.
                 */
                event Upgraded(address indexed implementation);
                /**
                 * @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 {
                    require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
                    StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
                }
                /**
                 * @dev Perform implementation upgrade
                 *
                 * Emits an {Upgraded} event.
                 */
                function _upgradeTo(address newImplementation) internal {
                    _setImplementation(newImplementation);
                    emit Upgraded(newImplementation);
                }
                /**
                 * @dev Perform implementation upgrade with additional setup call.
                 *
                 * Emits an {Upgraded} event.
                 */
                function _upgradeToAndCall(
                    address newImplementation,
                    bytes memory data,
                    bool forceCall
                ) internal {
                    _upgradeTo(newImplementation);
                    if (data.length > 0 || forceCall) {
                        Address.functionDelegateCall(newImplementation, data);
                    }
                }
                /**
                 * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
                 *
                 * Emits an {Upgraded} event.
                 */
                function _upgradeToAndCallUUPS(
                    address newImplementation,
                    bytes memory data,
                    bool forceCall
                ) internal {
                    // Upgrades from old implementations will perform a rollback test. This test requires the new
                    // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
                    // this special case will break upgrade paths from old UUPS implementation to new ones.
                    if (StorageSlot.getBooleanSlot(_ROLLBACK_SLOT).value) {
                        _setImplementation(newImplementation);
                    } else {
                        try IERC1822Proxiable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                            require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
                        } catch {
                            revert("ERC1967Upgrade: new implementation is not UUPS");
                        }
                        _upgradeToAndCall(newImplementation, data, forceCall);
                    }
                }
                /**
                 * @dev Storage slot with the admin of the contract.
                 * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
                 * validated in the constructor.
                 */
                bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
                /**
                 * @dev Emitted when the admin account has changed.
                 */
                event AdminChanged(address previousAdmin, address newAdmin);
                /**
                 * @dev Returns the current admin.
                 */
                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 {
                    require(newAdmin != address(0), "ERC1967: new admin is the zero address");
                    StorageSlot.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
                }
                /**
                 * @dev Changes the admin of the proxy.
                 *
                 * Emits an {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 bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
                 */
                bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;
                /**
                 * @dev Emitted when the beacon is upgraded.
                 */
                event BeaconUpgraded(address indexed beacon);
                /**
                 * @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 {
                    require(Address.isContract(newBeacon), "ERC1967: new beacon is not a contract");
                    require(
                        Address.isContract(IBeacon(newBeacon).implementation()),
                        "ERC1967: beacon implementation is not a contract"
                    );
                    StorageSlot.getAddressSlot(_BEACON_SLOT).value = newBeacon;
                }
                /**
                 * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
                 * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
                 *
                 * Emits a {BeaconUpgraded} event.
                 */
                function _upgradeBeaconToAndCall(
                    address newBeacon,
                    bytes memory data,
                    bool forceCall
                ) internal {
                    _setBeacon(newBeacon);
                    emit BeaconUpgraded(newBeacon);
                    if (data.length > 0 || forceCall) {
                        Address.functionDelegateCall(IBeacon(newBeacon).implementation(), data);
                    }
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.6.0) (proxy/Proxy.sol)
            pragma solidity ^0.8.0;
            /**
             * @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 {
                    _beforeFallback();
                    _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();
                }
                /**
                 * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if call data
                 * is empty.
                 */
                receive() external payable virtual {
                    _fallback();
                }
                /**
                 * @dev Hook that is called before falling back to the implementation. Can happen as part of a manual `_fallback`
                 * call, or as part of the Solidity `fallback` or `receive` functions.
                 *
                 * If overridden should call `super._beforeFallback()`.
                 */
                function _beforeFallback() internal virtual {}
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)
            pragma solidity ^0.8.0;
            /**
             * @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.
                 *
                 * {BeaconProxy} will check that this address is a contract.
                 */
                function implementation() external view returns (address);
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.7.0) (proxy/transparent/TransparentUpgradeableProxy.sol)
            pragma solidity ^0.8.0;
            import "../ERC1967/ERC1967Proxy.sol";
            /**
             * @dev This contract implements a proxy that is upgradeable by an admin.
             *
             * 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 one of the admin functions exposed by the proxy itself.
             * 2. If the admin calls the proxy, it can access the admin functions, but its calls will never be forwarded to the
             * implementation. If the admin tries to call a function on the implementation it will fail with an error that says
             * "admin cannot fallback to proxy target".
             *
             * These properties mean that the admin account can only be used for admin actions like upgrading the proxy or changing
             * the admin, 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.
             *
             * Our recommendation is for the dedicated account to be an instance of the {ProxyAdmin} contract. If set up this way,
             * you should think of the `ProxyAdmin` instance as the real administrative interface of your proxy.
             */
            contract TransparentUpgradeableProxy is ERC1967Proxy {
                /**
                 * @dev Initializes an upgradeable proxy managed by `_admin`, backed by the implementation at `_logic`, and
                 * optionally initialized with `_data` as explained in {ERC1967Proxy-constructor}.
                 */
                constructor(
                    address _logic,
                    address admin_,
                    bytes memory _data
                ) payable ERC1967Proxy(_logic, _data) {
                    _changeAdmin(admin_);
                }
                /**
                 * @dev Modifier used internally that will delegate the call to the implementation unless the sender is the admin.
                 */
                modifier ifAdmin() {
                    if (msg.sender == _getAdmin()) {
                        _;
                    } else {
                        _fallback();
                    }
                }
                /**
                 * @dev Returns the current admin.
                 *
                 * NOTE: Only the admin can call this function. See {ProxyAdmin-getProxyAdmin}.
                 *
                 * 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 admin() external ifAdmin returns (address admin_) {
                    admin_ = _getAdmin();
                }
                /**
                 * @dev Returns the current implementation.
                 *
                 * NOTE: Only the admin can call this function. See {ProxyAdmin-getProxyImplementation}.
                 *
                 * 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() external ifAdmin returns (address implementation_) {
                    implementation_ = _implementation();
                }
                /**
                 * @dev Changes the admin of the proxy.
                 *
                 * Emits an {AdminChanged} event.
                 *
                 * NOTE: Only the admin can call this function. See {ProxyAdmin-changeProxyAdmin}.
                 */
                function changeAdmin(address newAdmin) external virtual ifAdmin {
                    _changeAdmin(newAdmin);
                }
                /**
                 * @dev Upgrade the implementation of the proxy.
                 *
                 * NOTE: Only the admin can call this function. See {ProxyAdmin-upgrade}.
                 */
                function upgradeTo(address newImplementation) external ifAdmin {
                    _upgradeToAndCall(newImplementation, bytes(""), false);
                }
                /**
                 * @dev Upgrade the implementation of the proxy, and then call a function from the new implementation as specified
                 * by `data`, which should be an encoded function call. This is useful to initialize new storage variables in the
                 * proxied contract.
                 *
                 * NOTE: Only the admin can call this function. See {ProxyAdmin-upgradeAndCall}.
                 */
                function upgradeToAndCall(address newImplementation, bytes calldata data) external payable ifAdmin {
                    _upgradeToAndCall(newImplementation, data, true);
                }
                /**
                 * @dev Returns the current admin.
                 */
                function _admin() internal view virtual returns (address) {
                    return _getAdmin();
                }
                /**
                 * @dev Makes sure the admin cannot access the fallback function. See {Proxy-_beforeFallback}.
                 */
                function _beforeFallback() internal virtual override {
                    require(msg.sender != _getAdmin(), "TransparentUpgradeableProxy: admin cannot fallback to proxy target");
                    super._beforeFallback();
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
            pragma solidity ^0.8.1;
            /**
             * @dev Collection of functions related to the address type
             */
            library Address {
                /**
                 * @dev Returns true if `account` is a contract.
                 *
                 * [IMPORTANT]
                 * ====
                 * It is unsafe to assume that an address for which this function returns
                 * false is an externally-owned account (EOA) and not a contract.
                 *
                 * Among others, `isContract` will return false for the following
                 * types of addresses:
                 *
                 *  - an externally-owned account
                 *  - a contract in construction
                 *  - an address where a contract will be created
                 *  - an address where a contract lived, but was destroyed
                 * ====
                 *
                 * [IMPORTANT]
                 * ====
                 * You shouldn't rely on `isContract` to protect against flash loan attacks!
                 *
                 * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
                 * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
                 * constructor.
                 * ====
                 */
                function isContract(address account) internal view returns (bool) {
                    // This method relies on extcodesize/address.code.length, which returns 0
                    // for contracts in construction, since the code is only stored at the end
                    // of the constructor execution.
                    return account.code.length > 0;
                }
                /**
                 * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                 * `recipient`, forwarding all available gas and reverting on errors.
                 *
                 * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                 * of certain opcodes, possibly making contracts go over the 2300 gas limit
                 * imposed by `transfer`, making them unable to receive funds via
                 * `transfer`. {sendValue} removes this limitation.
                 *
                 * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                 *
                 * IMPORTANT: because control is transferred to `recipient`, care must be
                 * taken to not create reentrancy vulnerabilities. Consider using
                 * {ReentrancyGuard} or the
                 * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                 */
                function sendValue(address payable recipient, uint256 amount) internal {
                    require(address(this).balance >= amount, "Address: insufficient balance");
                    (bool success, ) = recipient.call{value: amount}("");
                    require(success, "Address: unable to send value, recipient may have reverted");
                }
                /**
                 * @dev Performs a Solidity function call using a low level `call`. A
                 * plain `call` is an unsafe replacement for a function call: use this
                 * function instead.
                 *
                 * If `target` reverts with a revert reason, it is bubbled up by this
                 * function (like regular Solidity function calls).
                 *
                 * Returns the raw returned data. To convert to the expected return value,
                 * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                 *
                 * Requirements:
                 *
                 * - `target` must be a contract.
                 * - calling `target` with `data` must not revert.
                 *
                 * _Available since v3.1._
                 */
                function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, 0, "Address: low-level call failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                 * `errorMessage` as a fallback revert reason when `target` reverts.
                 *
                 * _Available since v3.1._
                 */
                function functionCall(
                    address target,
                    bytes memory data,
                    string memory errorMessage
                ) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, 0, errorMessage);
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                 * but also transferring `value` wei to `target`.
                 *
                 * Requirements:
                 *
                 * - the calling contract must have an ETH balance of at least `value`.
                 * - the called Solidity function must be `payable`.
                 *
                 * _Available since v3.1._
                 */
                function functionCallWithValue(
                    address target,
                    bytes memory data,
                    uint256 value
                ) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                 * with `errorMessage` as a fallback revert reason when `target` reverts.
                 *
                 * _Available since v3.1._
                 */
                function functionCallWithValue(
                    address target,
                    bytes memory data,
                    uint256 value,
                    string memory errorMessage
                ) internal returns (bytes memory) {
                    require(address(this).balance >= value, "Address: insufficient balance for call");
                    (bool success, bytes memory returndata) = target.call{value: value}(data);
                    return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                 * but performing a static call.
                 *
                 * _Available since v3.3._
                 */
                function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                    return functionStaticCall(target, data, "Address: low-level static call failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                 * but performing a static call.
                 *
                 * _Available since v3.3._
                 */
                function functionStaticCall(
                    address target,
                    bytes memory data,
                    string memory errorMessage
                ) internal view returns (bytes memory) {
                    (bool success, bytes memory returndata) = target.staticcall(data);
                    return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                 * but performing a delegate call.
                 *
                 * _Available since v3.4._
                 */
                function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
                    return functionDelegateCall(target, data, "Address: low-level delegate call failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                 * but performing a delegate call.
                 *
                 * _Available since v3.4._
                 */
                function functionDelegateCall(
                    address target,
                    bytes memory data,
                    string memory errorMessage
                ) internal returns (bytes memory) {
                    (bool success, bytes memory returndata) = target.delegatecall(data);
                    return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                }
                /**
                 * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
                 * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
                 *
                 * _Available since v4.8._
                 */
                function verifyCallResultFromTarget(
                    address target,
                    bool success,
                    bytes memory returndata,
                    string memory errorMessage
                ) internal view returns (bytes memory) {
                    if (success) {
                        if (returndata.length == 0) {
                            // only check isContract if the call was successful and the return data is empty
                            // otherwise we already know that it was a contract
                            require(isContract(target), "Address: call to non-contract");
                        }
                        return returndata;
                    } else {
                        _revert(returndata, errorMessage);
                    }
                }
                /**
                 * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
                 * revert reason or using the provided one.
                 *
                 * _Available since v4.3._
                 */
                function verifyCallResult(
                    bool success,
                    bytes memory returndata,
                    string memory errorMessage
                ) internal pure returns (bytes memory) {
                    if (success) {
                        return returndata;
                    } else {
                        _revert(returndata, errorMessage);
                    }
                }
                function _revert(bytes memory returndata, string memory errorMessage) 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(errorMessage);
                    }
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.7.0) (utils/StorageSlot.sol)
            pragma solidity ^0.8.0;
            /**
             * @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:
             * ```
             * 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(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
             *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
             *     }
             * }
             * ```
             *
             * _Available since v4.1 for `address`, `bool`, `bytes32`, and `uint256`._
             */
            library StorageSlot {
                struct AddressSlot {
                    address value;
                }
                struct BooleanSlot {
                    bool value;
                }
                struct Bytes32Slot {
                    bytes32 value;
                }
                struct Uint256Slot {
                    uint256 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
                    }
                }
            }
            

            File 6 of 6: Stablecoin
            // SPDX-License-Identifier: MIT
            pragma solidity ^0.8.0;
            import "openzeppelin-contracts-upgradeable/contracts/token/ERC20/extensions/draft-ERC20PermitUpgradeable.sol";
            import "openzeppelin-contracts-upgradeable/contracts/access/Ownable2StepUpgradeable.sol";
            import "openzeppelin-contracts-upgradeable/contracts/security/PausableUpgradeable.sol";
            contract Stablecoin is ERC20PermitUpgradeable, Ownable2StepUpgradeable, PausableUpgradeable {
                mapping(address => bool) public frozen;
                event Mint(address indexed caller, address indexed to, uint256 amount);
                event Burn(address indexed caller, address indexed from, uint256 amount);
                event Freeze(address indexed caller, address indexed account);
                event Unfreeze(address indexed caller, address indexed account);
                function initialize(string memory _name, string memory _symbol) public initializer {
                    __Context_init();
                    __ERC20_init(_name, _symbol);
                    __ERC20Permit_init(_name);
                    __Ownable2Step_init();
                    __Pausable_init();
                }
                
                /**
                 * @dev Throws if account is frozen.
                 */
                modifier notFrozen(address account) {
                    require(!frozen[account], "Account is frozen");
                    _;
                }
                /** 
                 * @dev See {ERC20-_mint}.
                 * @param amount Mint amount
                 * @return True if successful
                 * Can only be called by the current owner.
                 */
                function mint(uint256 amount) external onlyOwner returns (bool) {
                    _mint(_msgSender(), amount);
                    emit Mint(_msgSender(), _msgSender(), amount);
                    return true;
                }
                /**
                 * @dev See {ERC20-_burn}.
                 * @param amount Burn amount
                 * @return True if successful
                 * Can only be called by the current owner.
                 */
                function burn(uint256 amount) external onlyOwner returns (bool) {
                    _burn(_msgSender(), amount);
                    emit Burn(_msgSender(), _msgSender(), amount);
                    return true;
                }
                
                /**
                 * @dev Adds account to frozen state.
                 * Can only be called by the current owner.
                 */
                function freeze(address account) external onlyOwner {
                    frozen[account] = true;
                    emit Freeze(_msgSender(), account);
                }
                /**
                 * @dev Removes account from frozen state.
                 * Can only be called by the current owner.
                 */
                function unfreeze(address account) external onlyOwner {
                    delete frozen[account];
                    emit Unfreeze(_msgSender(), account);
                }
                /**
                 * @dev Triggers stopped state.
                 * Can only be called by the current owner.
                 */
                function pause() external onlyOwner {
                    _pause();
                }
                /**
                 * @dev Returns to normal state.
                 * Can only be called by the current owner.
                 */
                function unpause() external onlyOwner {
                    _unpause();
                }
                /**
                 * @dev Unsupported. Leaves the contract without owner.
                 */
                function renounceOwnership() public view override onlyOwner {
                    revert("Unsupported");
                }
                /**
                 * @dev See {ERC20-_transfer}.
                 * @param from Source address
                 * @param to Destination address
                 * @param amount Transfer amount
                 */
                function _transfer(address from, address to, uint256 amount) internal override whenNotPaused notFrozen(from) notFrozen(to) {
                    super._transfer(from, to, amount);
                }
                /**
                 * @dev See {ERC20-_approve}.
                 * @param owner Owners's address
                 * @param spender Spender's address
                 * @param amount Allowance amount
                 */
                function _approve(address owner, address spender, uint256 amount) internal override whenNotPaused notFrozen(owner) notFrozen(spender) {
                    super._approve(owner, spender, amount);
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/extensions/draft-ERC20Permit.sol)
            pragma solidity ^0.8.0;
            import "./draft-IERC20PermitUpgradeable.sol";
            import "../ERC20Upgradeable.sol";
            import "../../../utils/cryptography/ECDSAUpgradeable.sol";
            import "../../../utils/cryptography/EIP712Upgradeable.sol";
            import "../../../utils/CountersUpgradeable.sol";
            import "../../../proxy/utils/Initializable.sol";
            /**
             * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
             * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
             *
             * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
             * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't
             * need to send a transaction, and thus is not required to hold Ether at all.
             *
             * _Available since v3.4._
             *
             * @custom:storage-size 51
             */
            abstract contract ERC20PermitUpgradeable is Initializable, ERC20Upgradeable, IERC20PermitUpgradeable, EIP712Upgradeable {
                using CountersUpgradeable for CountersUpgradeable.Counter;
                mapping(address => CountersUpgradeable.Counter) private _nonces;
                // solhint-disable-next-line var-name-mixedcase
                bytes32 private constant _PERMIT_TYPEHASH =
                    keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
                /**
                 * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`.
                 * However, to ensure consistency with the upgradeable transpiler, we will continue
                 * to reserve a slot.
                 * @custom:oz-renamed-from _PERMIT_TYPEHASH
                 */
                // solhint-disable-next-line var-name-mixedcase
                bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT;
                /**
                 * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
                 *
                 * It's a good idea to use the same `name` that is defined as the ERC20 token name.
                 */
                function __ERC20Permit_init(string memory name) internal onlyInitializing {
                    __EIP712_init_unchained(name, "1");
                }
                function __ERC20Permit_init_unchained(string memory) internal onlyInitializing {}
                /**
                 * @dev See {IERC20Permit-permit}.
                 */
                function permit(
                    address owner,
                    address spender,
                    uint256 value,
                    uint256 deadline,
                    uint8 v,
                    bytes32 r,
                    bytes32 s
                ) public virtual override {
                    require(block.timestamp <= deadline, "ERC20Permit: expired deadline");
                    bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));
                    bytes32 hash = _hashTypedDataV4(structHash);
                    address signer = ECDSAUpgradeable.recover(hash, v, r, s);
                    require(signer == owner, "ERC20Permit: invalid signature");
                    _approve(owner, spender, value);
                }
                /**
                 * @dev See {IERC20Permit-nonces}.
                 */
                function nonces(address owner) public view virtual override returns (uint256) {
                    return _nonces[owner].current();
                }
                /**
                 * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
                 */
                // solhint-disable-next-line func-name-mixedcase
                function DOMAIN_SEPARATOR() external view override returns (bytes32) {
                    return _domainSeparatorV4();
                }
                /**
                 * @dev "Consume a nonce": return the current value and increment.
                 *
                 * _Available since v4.1._
                 */
                function _useNonce(address owner) internal virtual returns (uint256 current) {
                    CountersUpgradeable.Counter storage nonce = _nonces[owner];
                    current = nonce.current();
                    nonce.increment();
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[49] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (access/Ownable2Step.sol)
            pragma solidity ^0.8.0;
            import "./OwnableUpgradeable.sol";
            import "../proxy/utils/Initializable.sol";
            /**
             * @dev Contract module which provides access control mechanism, where
             * there is an account (an owner) that can be granted exclusive access to
             * specific functions.
             *
             * By default, the owner account will be the one that deploys the contract. This
             * can later be changed with {transferOwnership} and {acceptOwnership}.
             *
             * This module is used through inheritance. It will make available all functions
             * from parent (Ownable).
             */
            abstract contract Ownable2StepUpgradeable is Initializable, OwnableUpgradeable {
                function __Ownable2Step_init() internal onlyInitializing {
                    __Ownable_init_unchained();
                }
                function __Ownable2Step_init_unchained() internal onlyInitializing {
                }
                address private _pendingOwner;
                event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);
                /**
                 * @dev Returns the address of the pending owner.
                 */
                function pendingOwner() public view virtual returns (address) {
                    return _pendingOwner;
                }
                /**
                 * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
                 * Can only be called by the current owner.
                 */
                function transferOwnership(address newOwner) public virtual override onlyOwner {
                    _pendingOwner = newOwner;
                    emit OwnershipTransferStarted(owner(), newOwner);
                }
                /**
                 * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
                 * Internal function without access restriction.
                 */
                function _transferOwnership(address newOwner) internal virtual override {
                    delete _pendingOwner;
                    super._transferOwnership(newOwner);
                }
                /**
                 * @dev The new owner accepts the ownership transfer.
                 */
                function acceptOwnership() external {
                    address sender = _msgSender();
                    require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
                    _transferOwnership(sender);
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[49] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.7.0) (security/Pausable.sol)
            pragma solidity ^0.8.0;
            import "../utils/ContextUpgradeable.sol";
            import "../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 {
                /**
                 * @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);
                bool private _paused;
                /**
                 * @dev Initializes the contract in unpaused state.
                 */
                function __Pausable_init() internal onlyInitializing {
                    __Pausable_init_unchained();
                }
                function __Pausable_init_unchained() internal onlyInitializing {
                    _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) {
                    return _paused;
                }
                /**
                 * @dev Throws if the contract is paused.
                 */
                function _requireNotPaused() internal view virtual {
                    require(!paused(), "Pausable: paused");
                }
                /**
                 * @dev Throws if the contract is not paused.
                 */
                function _requirePaused() internal view virtual {
                    require(paused(), "Pausable: not paused");
                }
                /**
                 * @dev Triggers stopped state.
                 *
                 * Requirements:
                 *
                 * - The contract must not be paused.
                 */
                function _pause() internal virtual whenNotPaused {
                    _paused = true;
                    emit Paused(_msgSender());
                }
                /**
                 * @dev Returns to normal state.
                 *
                 * Requirements:
                 *
                 * - The contract must be paused.
                 */
                function _unpause() internal virtual whenPaused {
                    _paused = false;
                    emit Unpaused(_msgSender());
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[49] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)
            pragma solidity ^0.8.0;
            /**
             * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
             * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
             *
             * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
             * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
             * need to send a transaction, and thus is not required to hold Ether at all.
             */
            interface IERC20PermitUpgradeable {
                /**
                 * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
                 * given ``owner``'s signed approval.
                 *
                 * IMPORTANT: The same issues {IERC20-approve} has related to transaction
                 * ordering also apply here.
                 *
                 * Emits an {Approval} event.
                 *
                 * Requirements:
                 *
                 * - `spender` cannot be the zero address.
                 * - `deadline` must be a timestamp in the future.
                 * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
                 * over the EIP712-formatted function arguments.
                 * - the signature must use ``owner``'s current nonce (see {nonces}).
                 *
                 * For more information on the signature format, see the
                 * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
                 * section].
                 */
                function permit(
                    address owner,
                    address spender,
                    uint256 value,
                    uint256 deadline,
                    uint8 v,
                    bytes32 r,
                    bytes32 s
                ) external;
                /**
                 * @dev Returns the current nonce for `owner`. This value must be
                 * included whenever a signature is generated for {permit}.
                 *
                 * Every successful call to {permit} increases ``owner``'s nonce by one. This
                 * prevents a signature from being used multiple times.
                 */
                function nonces(address owner) external view returns (uint256);
                /**
                 * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
                 */
                // solhint-disable-next-line func-name-mixedcase
                function DOMAIN_SEPARATOR() external view returns (bytes32);
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/ERC20.sol)
            pragma solidity ^0.8.0;
            import "./IERC20Upgradeable.sol";
            import "./extensions/IERC20MetadataUpgradeable.sol";
            import "../../utils/ContextUpgradeable.sol";
            import "../../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}.
             * For a generic mechanism see {ERC20PresetMinterPauser}.
             *
             * 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].
             *
             * 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.
             *
             * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
             * functions have been added to mitigate the well-known issues around setting
             * allowances. See {IERC20-approve}.
             */
            contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
                mapping(address => uint256) private _balances;
                mapping(address => mapping(address => uint256)) private _allowances;
                uint256 private _totalSupply;
                string private _name;
                string private _symbol;
                /**
                 * @dev Sets the values for {name} and {symbol}.
                 *
                 * The default value of {decimals} is 18. To select a different value for
                 * {decimals} you should overload it.
                 *
                 * 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 {
                    _name = name_;
                    _symbol = symbol_;
                }
                /**
                 * @dev Returns the name of the token.
                 */
                function name() public view virtual override returns (string memory) {
                    return _name;
                }
                /**
                 * @dev Returns the symbol of the token, usually a shorter version of the
                 * name.
                 */
                function symbol() public view virtual override returns (string memory) {
                    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 value {ERC20} uses, unless this function is
                 * 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 override returns (uint8) {
                    return 18;
                }
                /**
                 * @dev See {IERC20-totalSupply}.
                 */
                function totalSupply() public view virtual override returns (uint256) {
                    return _totalSupply;
                }
                /**
                 * @dev See {IERC20-balanceOf}.
                 */
                function balanceOf(address account) public view virtual override returns (uint256) {
                    return _balances[account];
                }
                /**
                 * @dev See {IERC20-transfer}.
                 *
                 * Requirements:
                 *
                 * - `to` cannot be the zero address.
                 * - the caller must have a balance of at least `amount`.
                 */
                function transfer(address to, uint256 amount) public virtual override returns (bool) {
                    address owner = _msgSender();
                    _transfer(owner, to, amount);
                    return true;
                }
                /**
                 * @dev See {IERC20-allowance}.
                 */
                function allowance(address owner, address spender) public view virtual override returns (uint256) {
                    return _allowances[owner][spender];
                }
                /**
                 * @dev See {IERC20-approve}.
                 *
                 * NOTE: If `amount` 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 amount) public virtual override returns (bool) {
                    address owner = _msgSender();
                    _approve(owner, spender, amount);
                    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 `amount`.
                 * - the caller must have allowance for ``from``'s tokens of at least
                 * `amount`.
                 */
                function transferFrom(
                    address from,
                    address to,
                    uint256 amount
                ) public virtual override returns (bool) {
                    address spender = _msgSender();
                    _spendAllowance(from, spender, amount);
                    _transfer(from, to, amount);
                    return true;
                }
                /**
                 * @dev Atomically increases the allowance granted to `spender` by the caller.
                 *
                 * This is an alternative to {approve} that can be used as a mitigation for
                 * problems described in {IERC20-approve}.
                 *
                 * Emits an {Approval} event indicating the updated allowance.
                 *
                 * Requirements:
                 *
                 * - `spender` cannot be the zero address.
                 */
                function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
                    address owner = _msgSender();
                    _approve(owner, spender, allowance(owner, spender) + addedValue);
                    return true;
                }
                /**
                 * @dev Atomically decreases the allowance granted to `spender` by the caller.
                 *
                 * This is an alternative to {approve} that can be used as a mitigation for
                 * problems described in {IERC20-approve}.
                 *
                 * Emits an {Approval} event indicating the updated allowance.
                 *
                 * Requirements:
                 *
                 * - `spender` cannot be the zero address.
                 * - `spender` must have allowance for the caller of at least
                 * `subtractedValue`.
                 */
                function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
                    address owner = _msgSender();
                    uint256 currentAllowance = allowance(owner, spender);
                    require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
                    unchecked {
                        _approve(owner, spender, currentAllowance - subtractedValue);
                    }
                    return true;
                }
                /**
                 * @dev Moves `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.
                 *
                 * Requirements:
                 *
                 * - `from` cannot be the zero address.
                 * - `to` cannot be the zero address.
                 * - `from` must have a balance of at least `amount`.
                 */
                function _transfer(
                    address from,
                    address to,
                    uint256 amount
                ) internal virtual {
                    require(from != address(0), "ERC20: transfer from the zero address");
                    require(to != address(0), "ERC20: transfer to the zero address");
                    _beforeTokenTransfer(from, to, amount);
                    uint256 fromBalance = _balances[from];
                    require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
                    unchecked {
                        _balances[from] = fromBalance - amount;
                        // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
                        // decrementing then incrementing.
                        _balances[to] += amount;
                    }
                    emit Transfer(from, to, amount);
                    _afterTokenTransfer(from, to, amount);
                }
                /** @dev Creates `amount` tokens and assigns them to `account`, increasing
                 * the total supply.
                 *
                 * Emits a {Transfer} event with `from` set to the zero address.
                 *
                 * Requirements:
                 *
                 * - `account` cannot be the zero address.
                 */
                function _mint(address account, uint256 amount) internal virtual {
                    require(account != address(0), "ERC20: mint to the zero address");
                    _beforeTokenTransfer(address(0), account, amount);
                    _totalSupply += amount;
                    unchecked {
                        // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
                        _balances[account] += amount;
                    }
                    emit Transfer(address(0), account, amount);
                    _afterTokenTransfer(address(0), account, amount);
                }
                /**
                 * @dev Destroys `amount` tokens from `account`, reducing the
                 * total supply.
                 *
                 * Emits a {Transfer} event with `to` set to the zero address.
                 *
                 * Requirements:
                 *
                 * - `account` cannot be the zero address.
                 * - `account` must have at least `amount` tokens.
                 */
                function _burn(address account, uint256 amount) internal virtual {
                    require(account != address(0), "ERC20: burn from the zero address");
                    _beforeTokenTransfer(account, address(0), amount);
                    uint256 accountBalance = _balances[account];
                    require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
                    unchecked {
                        _balances[account] = accountBalance - amount;
                        // Overflow not possible: amount <= accountBalance <= totalSupply.
                        _totalSupply -= amount;
                    }
                    emit Transfer(account, address(0), amount);
                    _afterTokenTransfer(account, address(0), amount);
                }
                /**
                 * @dev Sets `amount` 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.
                 */
                function _approve(
                    address owner,
                    address spender,
                    uint256 amount
                ) internal virtual {
                    require(owner != address(0), "ERC20: approve from the zero address");
                    require(spender != address(0), "ERC20: approve to the zero address");
                    _allowances[owner][spender] = amount;
                    emit Approval(owner, spender, amount);
                }
                /**
                 * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
                 *
                 * Does not update the allowance amount in case of infinite allowance.
                 * Revert if not enough allowance is available.
                 *
                 * Might emit an {Approval} event.
                 */
                function _spendAllowance(
                    address owner,
                    address spender,
                    uint256 amount
                ) internal virtual {
                    uint256 currentAllowance = allowance(owner, spender);
                    if (currentAllowance != type(uint256).max) {
                        require(currentAllowance >= amount, "ERC20: insufficient allowance");
                        unchecked {
                            _approve(owner, spender, currentAllowance - amount);
                        }
                    }
                }
                /**
                 * @dev Hook that is called before any transfer of tokens. This includes
                 * minting and burning.
                 *
                 * Calling conditions:
                 *
                 * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
                 * will be transferred to `to`.
                 * - when `from` is zero, `amount` tokens will be minted for `to`.
                 * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
                 * - `from` and `to` are never both zero.
                 *
                 * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
                 */
                function _beforeTokenTransfer(
                    address from,
                    address to,
                    uint256 amount
                ) internal virtual {}
                /**
                 * @dev Hook that is called after any transfer of tokens. This includes
                 * minting and burning.
                 *
                 * Calling conditions:
                 *
                 * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
                 * has been transferred to `to`.
                 * - when `from` is zero, `amount` tokens have been minted for `to`.
                 * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
                 * - `from` and `to` are never both zero.
                 *
                 * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
                 */
                function _afterTokenTransfer(
                    address from,
                    address to,
                    uint256 amount
                ) internal virtual {}
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[45] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/ECDSA.sol)
            pragma solidity ^0.8.0;
            import "../StringsUpgradeable.sol";
            /**
             * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
             *
             * These functions can be used to verify that a message was signed by the holder
             * of the private keys of a given address.
             */
            library ECDSAUpgradeable {
                enum RecoverError {
                    NoError,
                    InvalidSignature,
                    InvalidSignatureLength,
                    InvalidSignatureS,
                    InvalidSignatureV // Deprecated in v4.8
                }
                function _throwError(RecoverError error) private pure {
                    if (error == RecoverError.NoError) {
                        return; // no error: do nothing
                    } else if (error == RecoverError.InvalidSignature) {
                        revert("ECDSA: invalid signature");
                    } else if (error == RecoverError.InvalidSignatureLength) {
                        revert("ECDSA: invalid signature length");
                    } else if (error == RecoverError.InvalidSignatureS) {
                        revert("ECDSA: invalid signature 's' value");
                    }
                }
                /**
                 * @dev Returns the address that signed a hashed message (`hash`) with
                 * `signature` or error string. This address can then be used for verification purposes.
                 *
                 * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
                 * this function rejects them by requiring the `s` value to be in the lower
                 * half order, and the `v` value to be either 27 or 28.
                 *
                 * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                 * verification to be secure: it is possible to craft signatures that
                 * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                 * this is by receiving a hash of the original message (which may otherwise
                 * be too long), and then calling {toEthSignedMessageHash} on it.
                 *
                 * Documentation for signature generation:
                 * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
                 * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
                 *
                 * _Available since v4.3._
                 */
                function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
                    if (signature.length == 65) {
                        bytes32 r;
                        bytes32 s;
                        uint8 v;
                        // ecrecover takes the signature parameters, and the only way to get them
                        // currently is to use assembly.
                        /// @solidity memory-safe-assembly
                        assembly {
                            r := mload(add(signature, 0x20))
                            s := mload(add(signature, 0x40))
                            v := byte(0, mload(add(signature, 0x60)))
                        }
                        return tryRecover(hash, v, r, s);
                    } else {
                        return (address(0), RecoverError.InvalidSignatureLength);
                    }
                }
                /**
                 * @dev Returns the address that signed a hashed message (`hash`) with
                 * `signature`. This address can then be used for verification purposes.
                 *
                 * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
                 * this function rejects them by requiring the `s` value to be in the lower
                 * half order, and the `v` value to be either 27 or 28.
                 *
                 * IMPORTANT: `hash` _must_ be the result of a hash operation for the
                 * verification to be secure: it is possible to craft signatures that
                 * recover to arbitrary addresses for non-hashed data. A safe way to ensure
                 * this is by receiving a hash of the original message (which may otherwise
                 * be too long), and then calling {toEthSignedMessageHash} on it.
                 */
                function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
                    (address recovered, RecoverError error) = tryRecover(hash, signature);
                    _throwError(error);
                    return recovered;
                }
                /**
                 * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
                 *
                 * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
                 *
                 * _Available since v4.3._
                 */
                function tryRecover(
                    bytes32 hash,
                    bytes32 r,
                    bytes32 vs
                ) internal pure returns (address, RecoverError) {
                    bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
                    uint8 v = uint8((uint256(vs) >> 255) + 27);
                    return tryRecover(hash, v, r, s);
                }
                /**
                 * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
                 *
                 * _Available since v4.2._
                 */
                function recover(
                    bytes32 hash,
                    bytes32 r,
                    bytes32 vs
                ) internal pure returns (address) {
                    (address recovered, RecoverError error) = tryRecover(hash, r, vs);
                    _throwError(error);
                    return recovered;
                }
                /**
                 * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
                 * `r` and `s` signature fields separately.
                 *
                 * _Available since v4.3._
                 */
                function tryRecover(
                    bytes32 hash,
                    uint8 v,
                    bytes32 r,
                    bytes32 s
                ) internal pure returns (address, RecoverError) {
                    // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
                    // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
                    // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
                    // signatures from current libraries generate a unique signature with an s-value in the lower half order.
                    //
                    // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
                    // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
                    // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
                    // these malleable signatures as well.
                    if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
                        return (address(0), RecoverError.InvalidSignatureS);
                    }
                    // If the signature is valid (and not malleable), return the signer address
                    address signer = ecrecover(hash, v, r, s);
                    if (signer == address(0)) {
                        return (address(0), RecoverError.InvalidSignature);
                    }
                    return (signer, RecoverError.NoError);
                }
                /**
                 * @dev Overload of {ECDSA-recover} that receives the `v`,
                 * `r` and `s` signature fields separately.
                 */
                function recover(
                    bytes32 hash,
                    uint8 v,
                    bytes32 r,
                    bytes32 s
                ) internal pure returns (address) {
                    (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
                    _throwError(error);
                    return recovered;
                }
                /**
                 * @dev Returns an Ethereum Signed Message, created from a `hash`. This
                 * produces hash corresponding to the one signed with the
                 * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
                 * JSON-RPC method as part of EIP-191.
                 *
                 * See {recover}.
                 */
                function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32) {
                    // 32 is the length in bytes of hash,
                    // enforced by the type signature above
                    return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
            32", hash));
                }
                /**
                 * @dev Returns an Ethereum Signed Message, created from `s`. This
                 * produces hash corresponding to the one signed with the
                 * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
                 * JSON-RPC method as part of EIP-191.
                 *
                 * See {recover}.
                 */
                function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
                    return keccak256(abi.encodePacked("\\x19Ethereum Signed Message:\
            ", StringsUpgradeable.toString(s.length), s));
                }
                /**
                 * @dev Returns an Ethereum Signed Typed Data, created from a
                 * `domainSeparator` and a `structHash`. This produces hash corresponding
                 * to the one signed with the
                 * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
                 * JSON-RPC method as part of EIP-712.
                 *
                 * See {recover}.
                 */
                function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32) {
                    return keccak256(abi.encodePacked("\\x19\\x01", domainSeparator, structHash));
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/EIP712.sol)
            pragma solidity ^0.8.0;
            import "./ECDSAUpgradeable.sol";
            import "../../proxy/utils/Initializable.sol";
            /**
             * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
             *
             * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
             * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
             * they need in their contracts using a combination of `abi.encode` and `keccak256`.
             *
             * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
             * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
             * ({_hashTypedDataV4}).
             *
             * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
             * the chain id to protect against replay attacks on an eventual fork of the chain.
             *
             * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
             * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
             *
             * _Available since v3.4._
             *
             * @custom:storage-size 52
             */
            abstract contract EIP712Upgradeable is Initializable {
                /* solhint-disable var-name-mixedcase */
                bytes32 private _HASHED_NAME;
                bytes32 private _HASHED_VERSION;
                bytes32 private constant _TYPE_HASH = keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
                /* solhint-enable var-name-mixedcase */
                /**
                 * @dev Initializes the domain separator and parameter caches.
                 *
                 * The meaning of `name` and `version` is specified in
                 * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
                 *
                 * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
                 * - `version`: the current major version of the signing domain.
                 *
                 * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
                 * contract upgrade].
                 */
                function __EIP712_init(string memory name, string memory version) internal onlyInitializing {
                    __EIP712_init_unchained(name, version);
                }
                function __EIP712_init_unchained(string memory name, string memory version) internal onlyInitializing {
                    bytes32 hashedName = keccak256(bytes(name));
                    bytes32 hashedVersion = keccak256(bytes(version));
                    _HASHED_NAME = hashedName;
                    _HASHED_VERSION = hashedVersion;
                }
                /**
                 * @dev Returns the domain separator for the current chain.
                 */
                function _domainSeparatorV4() internal view returns (bytes32) {
                    return _buildDomainSeparator(_TYPE_HASH, _EIP712NameHash(), _EIP712VersionHash());
                }
                function _buildDomainSeparator(
                    bytes32 typeHash,
                    bytes32 nameHash,
                    bytes32 versionHash
                ) private view returns (bytes32) {
                    return keccak256(abi.encode(typeHash, nameHash, versionHash, block.chainid, address(this)));
                }
                /**
                 * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
                 * function returns the hash of the fully encoded EIP712 message for this domain.
                 *
                 * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
                 *
                 * ```solidity
                 * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
                 *     keccak256("Mail(address to,string contents)"),
                 *     mailTo,
                 *     keccak256(bytes(mailContents))
                 * )));
                 * address signer = ECDSA.recover(digest, signature);
                 * ```
                 */
                function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
                    return ECDSAUpgradeable.toTypedDataHash(_domainSeparatorV4(), structHash);
                }
                /**
                 * @dev The hash of the name parameter for the EIP712 domain.
                 *
                 * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
                 * are a concern.
                 */
                function _EIP712NameHash() internal virtual view returns (bytes32) {
                    return _HASHED_NAME;
                }
                /**
                 * @dev The hash of the version parameter for the EIP712 domain.
                 *
                 * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
                 * are a concern.
                 */
                function _EIP712VersionHash() internal virtual view returns (bytes32) {
                    return _HASHED_VERSION;
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[50] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts v4.4.1 (utils/Counters.sol)
            pragma solidity ^0.8.0;
            /**
             * @title Counters
             * @author Matt Condon (@shrugs)
             * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
             * of elements in a mapping, issuing ERC721 ids, or counting request ids.
             *
             * Include with `using Counters for Counters.Counter;`
             */
            library CountersUpgradeable {
                struct Counter {
                    // This variable should never be directly accessed by users of the library: interactions must be restricted to
                    // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
                    // this feature: see https://github.com/ethereum/solidity/issues/4637
                    uint256 _value; // default: 0
                }
                function current(Counter storage counter) internal view returns (uint256) {
                    return counter._value;
                }
                function increment(Counter storage counter) internal {
                    unchecked {
                        counter._value += 1;
                    }
                }
                function decrement(Counter storage counter) internal {
                    uint256 value = counter._value;
                    require(value > 0, "Counter: decrement overflow");
                    unchecked {
                        counter._value = value - 1;
                    }
                }
                function reset(Counter storage counter) internal {
                    counter._value = 0;
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.1) (proxy/utils/Initializable.sol)
            pragma solidity ^0.8.2;
            import "../../utils/AddressUpgradeable.sol";
            /**
             * @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]
             * ```
             * 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 Indicates that the contract has been initialized.
                 * @custom:oz-retyped-from bool
                 */
                uint8 private _initialized;
                /**
                 * @dev Indicates that the contract is in the process of being initialized.
                 */
                bool private _initializing;
                /**
                 * @dev Triggered when the contract has been initialized or reinitialized.
                 */
                event Initialized(uint8 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 functions marked with `initializer` can be nested in the context of a
                 * constructor.
                 *
                 * Emits an {Initialized} event.
                 */
                modifier initializer() {
                    bool isTopLevelCall = !_initializing;
                    require(
                        (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
                        "Initializable: contract is already initialized"
                    );
                    _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 255 will prevent any future reinitialization.
                 *
                 * Emits an {Initialized} event.
                 */
                modifier reinitializer(uint8 version) {
                    require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
                    _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() {
                    require(_initializing, "Initializable: contract is not initializing");
                    _;
                }
                /**
                 * @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 {
                    require(!_initializing, "Initializable: contract is initializing");
                    if (_initialized < type(uint8).max) {
                        _initialized = type(uint8).max;
                        emit Initialized(type(uint8).max);
                    }
                }
                /**
                 * @dev Returns the highest version that has been initialized. See {reinitializer}.
                 */
                function _getInitializedVersion() internal view returns (uint8) {
                    return _initialized;
                }
                /**
                 * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
                 */
                function _isInitializing() internal view returns (bool) {
                    return _initializing;
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
            pragma solidity ^0.8.0;
            import "../utils/ContextUpgradeable.sol";
            import "../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.
             *
             * By default, the owner account will be the one that deploys the contract. 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 {
                address private _owner;
                event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
                /**
                 * @dev Initializes the contract setting the deployer as the initial owner.
                 */
                function __Ownable_init() internal onlyInitializing {
                    __Ownable_init_unchained();
                }
                function __Ownable_init_unchained() internal onlyInitializing {
                    _transferOwnership(_msgSender());
                }
                /**
                 * @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 {
                    require(owner() == _msgSender(), "Ownable: caller is not the owner");
                }
                /**
                 * @dev Leaves the contract without owner. It will not be possible to call
                 * `onlyOwner` functions anymore. Can only be called by the current owner.
                 *
                 * NOTE: Renouncing ownership will leave the contract without an owner,
                 * thereby removing 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 {
                    require(newOwner != address(0), "Ownable: new owner is the zero address");
                    _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);
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[49] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
            pragma solidity ^0.8.0;
            import "../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;
                }
                /**
                 * @dev This empty reserved space is put in place to allow future versions to add new
                 * variables without shifting down storage in the inheritance chain.
                 * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
                 */
                uint256[50] private __gap;
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
            pragma solidity ^0.8.0;
            /**
             * @dev Interface of the ERC20 standard as defined in the EIP.
             */
            interface IERC20Upgradeable {
                /**
                 * @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 amount of tokens in existence.
                 */
                function totalSupply() external view returns (uint256);
                /**
                 * @dev Returns the amount of tokens owned by `account`.
                 */
                function balanceOf(address account) external view returns (uint256);
                /**
                 * @dev Moves `amount` tokens from the caller's account to `to`.
                 *
                 * Returns a boolean value indicating whether the operation succeeded.
                 *
                 * Emits a {Transfer} event.
                 */
                function transfer(address to, uint256 amount) external returns (bool);
                /**
                 * @dev Returns the remaining number of tokens that `spender` will be
                 * allowed to spend on behalf of `owner` through {transferFrom}. This is
                 * zero by default.
                 *
                 * This value changes when {approve} or {transferFrom} are called.
                 */
                function allowance(address owner, address spender) external view returns (uint256);
                /**
                 * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
                 *
                 * Returns a boolean value indicating whether the operation succeeded.
                 *
                 * IMPORTANT: Beware that changing an allowance with this method brings the risk
                 * that someone may use both the old and the new allowance by unfortunate
                 * transaction ordering. One possible solution to mitigate this race
                 * condition is to first reduce the spender's allowance to 0 and set the
                 * desired value afterwards:
                 * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
                 *
                 * Emits an {Approval} event.
                 */
                function approve(address spender, uint256 amount) external returns (bool);
                /**
                 * @dev Moves `amount` tokens from `from` to `to` using the
                 * allowance mechanism. `amount` is then deducted from the caller's
                 * allowance.
                 *
                 * Returns a boolean value indicating whether the operation succeeded.
                 *
                 * Emits a {Transfer} event.
                 */
                function transferFrom(
                    address from,
                    address to,
                    uint256 amount
                ) external returns (bool);
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
            pragma solidity ^0.8.0;
            import "../IERC20Upgradeable.sol";
            /**
             * @dev Interface for the optional metadata functions from the ERC20 standard.
             *
             * _Available since v4.1._
             */
            interface IERC20MetadataUpgradeable is IERC20Upgradeable {
                /**
                 * @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 v4.8.0) (utils/Strings.sol)
            pragma solidity ^0.8.0;
            import "./math/MathUpgradeable.sol";
            /**
             * @dev String operations.
             */
            library StringsUpgradeable {
                bytes16 private constant _SYMBOLS = "0123456789abcdef";
                uint8 private constant _ADDRESS_LENGTH = 20;
                /**
                 * @dev Converts a `uint256` to its ASCII `string` decimal representation.
                 */
                function toString(uint256 value) internal pure returns (string memory) {
                    unchecked {
                        uint256 length = MathUpgradeable.log10(value) + 1;
                        string memory buffer = new string(length);
                        uint256 ptr;
                        /// @solidity memory-safe-assembly
                        assembly {
                            ptr := add(buffer, add(32, length))
                        }
                        while (true) {
                            ptr--;
                            /// @solidity memory-safe-assembly
                            assembly {
                                mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                            }
                            value /= 10;
                            if (value == 0) break;
                        }
                        return buffer;
                    }
                }
                /**
                 * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
                 */
                function toHexString(uint256 value) internal pure returns (string memory) {
                    unchecked {
                        return toHexString(value, MathUpgradeable.log256(value) + 1);
                    }
                }
                /**
                 * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
                 */
                function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
                    bytes memory buffer = new bytes(2 * length + 2);
                    buffer[0] = "0";
                    buffer[1] = "x";
                    for (uint256 i = 2 * length + 1; i > 1; --i) {
                        buffer[i] = _SYMBOLS[value & 0xf];
                        value >>= 4;
                    }
                    require(value == 0, "Strings: hex length insufficient");
                    return string(buffer);
                }
                /**
                 * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
                 */
                function toHexString(address addr) internal pure returns (string memory) {
                    return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
            pragma solidity ^0.8.1;
            /**
             * @dev Collection of functions related to the address type
             */
            library AddressUpgradeable {
                /**
                 * @dev Returns true if `account` is a contract.
                 *
                 * [IMPORTANT]
                 * ====
                 * It is unsafe to assume that an address for which this function returns
                 * false is an externally-owned account (EOA) and not a contract.
                 *
                 * Among others, `isContract` will return false for the following
                 * types of addresses:
                 *
                 *  - an externally-owned account
                 *  - a contract in construction
                 *  - an address where a contract will be created
                 *  - an address where a contract lived, but was destroyed
                 * ====
                 *
                 * [IMPORTANT]
                 * ====
                 * You shouldn't rely on `isContract` to protect against flash loan attacks!
                 *
                 * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
                 * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
                 * constructor.
                 * ====
                 */
                function isContract(address account) internal view returns (bool) {
                    // This method relies on extcodesize/address.code.length, which returns 0
                    // for contracts in construction, since the code is only stored at the end
                    // of the constructor execution.
                    return account.code.length > 0;
                }
                /**
                 * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
                 * `recipient`, forwarding all available gas and reverting on errors.
                 *
                 * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
                 * of certain opcodes, possibly making contracts go over the 2300 gas limit
                 * imposed by `transfer`, making them unable to receive funds via
                 * `transfer`. {sendValue} removes this limitation.
                 *
                 * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
                 *
                 * IMPORTANT: because control is transferred to `recipient`, care must be
                 * taken to not create reentrancy vulnerabilities. Consider using
                 * {ReentrancyGuard} or the
                 * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
                 */
                function sendValue(address payable recipient, uint256 amount) internal {
                    require(address(this).balance >= amount, "Address: insufficient balance");
                    (bool success, ) = recipient.call{value: amount}("");
                    require(success, "Address: unable to send value, recipient may have reverted");
                }
                /**
                 * @dev Performs a Solidity function call using a low level `call`. A
                 * plain `call` is an unsafe replacement for a function call: use this
                 * function instead.
                 *
                 * If `target` reverts with a revert reason, it is bubbled up by this
                 * function (like regular Solidity function calls).
                 *
                 * Returns the raw returned data. To convert to the expected return value,
                 * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
                 *
                 * Requirements:
                 *
                 * - `target` must be a contract.
                 * - calling `target` with `data` must not revert.
                 *
                 * _Available since v3.1._
                 */
                function functionCall(address target, bytes memory data) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, 0, "Address: low-level call failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
                 * `errorMessage` as a fallback revert reason when `target` reverts.
                 *
                 * _Available since v3.1._
                 */
                function functionCall(
                    address target,
                    bytes memory data,
                    string memory errorMessage
                ) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, 0, errorMessage);
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                 * but also transferring `value` wei to `target`.
                 *
                 * Requirements:
                 *
                 * - the calling contract must have an ETH balance of at least `value`.
                 * - the called Solidity function must be `payable`.
                 *
                 * _Available since v3.1._
                 */
                function functionCallWithValue(
                    address target,
                    bytes memory data,
                    uint256 value
                ) internal returns (bytes memory) {
                    return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
                 * with `errorMessage` as a fallback revert reason when `target` reverts.
                 *
                 * _Available since v3.1._
                 */
                function functionCallWithValue(
                    address target,
                    bytes memory data,
                    uint256 value,
                    string memory errorMessage
                ) internal returns (bytes memory) {
                    require(address(this).balance >= value, "Address: insufficient balance for call");
                    (bool success, bytes memory returndata) = target.call{value: value}(data);
                    return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
                 * but performing a static call.
                 *
                 * _Available since v3.3._
                 */
                function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
                    return functionStaticCall(target, data, "Address: low-level static call failed");
                }
                /**
                 * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
                 * but performing a static call.
                 *
                 * _Available since v3.3._
                 */
                function functionStaticCall(
                    address target,
                    bytes memory data,
                    string memory errorMessage
                ) internal view returns (bytes memory) {
                    (bool success, bytes memory returndata) = target.staticcall(data);
                    return verifyCallResultFromTarget(target, success, returndata, errorMessage);
                }
                /**
                 * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
                 * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
                 *
                 * _Available since v4.8._
                 */
                function verifyCallResultFromTarget(
                    address target,
                    bool success,
                    bytes memory returndata,
                    string memory errorMessage
                ) internal view returns (bytes memory) {
                    if (success) {
                        if (returndata.length == 0) {
                            // only check isContract if the call was successful and the return data is empty
                            // otherwise we already know that it was a contract
                            require(isContract(target), "Address: call to non-contract");
                        }
                        return returndata;
                    } else {
                        _revert(returndata, errorMessage);
                    }
                }
                /**
                 * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
                 * revert reason or using the provided one.
                 *
                 * _Available since v4.3._
                 */
                function verifyCallResult(
                    bool success,
                    bytes memory returndata,
                    string memory errorMessage
                ) internal pure returns (bytes memory) {
                    if (success) {
                        return returndata;
                    } else {
                        _revert(returndata, errorMessage);
                    }
                }
                function _revert(bytes memory returndata, string memory errorMessage) 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(errorMessage);
                    }
                }
            }
            // SPDX-License-Identifier: MIT
            // OpenZeppelin Contracts (last updated v4.8.0) (utils/math/Math.sol)
            pragma solidity ^0.8.0;
            /**
             * @dev Standard math utilities missing in the Solidity language.
             */
            library MathUpgradeable {
                enum Rounding {
                    Down, // Toward negative infinity
                    Up, // Toward infinity
                    Zero // Toward zero
                }
                /**
                 * @dev Returns the largest of two numbers.
                 */
                function max(uint256 a, uint256 b) internal pure returns (uint256) {
                    return a > b ? a : b;
                }
                /**
                 * @dev Returns the smallest of two numbers.
                 */
                function min(uint256 a, uint256 b) internal pure returns (uint256) {
                    return a < b ? a : b;
                }
                /**
                 * @dev Returns the average of two numbers. The result is rounded towards
                 * zero.
                 */
                function average(uint256 a, uint256 b) internal pure returns (uint256) {
                    // (a + b) / 2 can overflow.
                    return (a & b) + (a ^ b) / 2;
                }
                /**
                 * @dev Returns the ceiling of the division of two numbers.
                 *
                 * This differs from standard division with `/` in that it rounds up instead
                 * of rounding down.
                 */
                function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
                    // (a + b - 1) / b can overflow on addition, so we distribute.
                    return a == 0 ? 0 : (a - 1) / b + 1;
                }
                /**
                 * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
                 * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
                 * with further edits by Uniswap Labs also under MIT license.
                 */
                function mulDiv(
                    uint256 x,
                    uint256 y,
                    uint256 denominator
                ) internal pure returns (uint256 result) {
                    unchecked {
                        // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
                        // 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(x, y, not(0))
                            prod0 := mul(x, y)
                            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
                        }
                        // Handle non-overflow cases, 256 by 256 division.
                        if (prod1 == 0) {
                            return prod0 / denominator;
                        }
                        // 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].
                        uint256 remainder;
                        assembly {
                            // Compute remainder using mulmod.
                            remainder := mulmod(x, y, denominator)
                            // Subtract 256 bit number from 512 bit number.
                            prod1 := sub(prod1, gt(remainder, prod0))
                            prod0 := sub(prod0, remainder)
                        }
                        // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
                        // See https://cs.stackexchange.com/q/138556/92363.
                        // Does not overflow because the denominator cannot be zero at this stage in the function.
                        uint256 twos = denominator & (~denominator + 1);
                        assembly {
                            // Divide denominator by twos.
                            denominator := div(denominator, twos)
                            // Divide [prod1 prod0] by twos.
                            prod0 := div(prod0, twos)
                            // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                            twos := add(div(sub(0, twos), twos), 1)
                        }
                        // Shift in bits from prod1 into prod0.
                        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 for
                        // four bits. That is, denominator * inv = 1 mod 2^4.
                        uint256 inverse = (3 * denominator) ^ 2;
                        // Use the 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.
                        inverse *= 2 - denominator * inverse; // inverse mod 2^8
                        inverse *= 2 - denominator * inverse; // inverse mod 2^16
                        inverse *= 2 - denominator * inverse; // inverse mod 2^32
                        inverse *= 2 - denominator * inverse; // inverse mod 2^64
                        inverse *= 2 - denominator * inverse; // inverse mod 2^128
                        inverse *= 2 - denominator * inverse; // 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 preconditions 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 * inverse;
                        return result;
                    }
                }
                /**
                 * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
                 */
                function mulDiv(
                    uint256 x,
                    uint256 y,
                    uint256 denominator,
                    Rounding rounding
                ) internal pure returns (uint256) {
                    uint256 result = mulDiv(x, y, denominator);
                    if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
                        result += 1;
                    }
                    return result;
                }
                /**
                 * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
                 *
                 * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
                 */
                function sqrt(uint256 a) internal pure returns (uint256) {
                    if (a == 0) {
                        return 0;
                    }
                    // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
                    //
                    // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
                    // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
                    //
                    // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
                    // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
                    // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
                    //
                    // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
                    uint256 result = 1 << (log2(a) >> 1);
                    // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
                    // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
                    // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
                    // into the expected uint128 result.
                    unchecked {
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        result = (result + a / result) >> 1;
                        return min(result, a / result);
                    }
                }
                /**
                 * @notice Calculates sqrt(a), following the selected rounding direction.
                 */
                function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
                    unchecked {
                        uint256 result = sqrt(a);
                        return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
                    }
                }
                /**
                 * @dev Return the log in base 2, rounded down, of a positive value.
                 * Returns 0 if given 0.
                 */
                function log2(uint256 value) internal pure returns (uint256) {
                    uint256 result = 0;
                    unchecked {
                        if (value >> 128 > 0) {
                            value >>= 128;
                            result += 128;
                        }
                        if (value >> 64 > 0) {
                            value >>= 64;
                            result += 64;
                        }
                        if (value >> 32 > 0) {
                            value >>= 32;
                            result += 32;
                        }
                        if (value >> 16 > 0) {
                            value >>= 16;
                            result += 16;
                        }
                        if (value >> 8 > 0) {
                            value >>= 8;
                            result += 8;
                        }
                        if (value >> 4 > 0) {
                            value >>= 4;
                            result += 4;
                        }
                        if (value >> 2 > 0) {
                            value >>= 2;
                            result += 2;
                        }
                        if (value >> 1 > 0) {
                            result += 1;
                        }
                    }
                    return result;
                }
                /**
                 * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
                 * Returns 0 if given 0.
                 */
                function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
                    unchecked {
                        uint256 result = log2(value);
                        return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
                    }
                }
                /**
                 * @dev Return the log in base 10, rounded down, of a positive value.
                 * Returns 0 if given 0.
                 */
                function log10(uint256 value) internal pure returns (uint256) {
                    uint256 result = 0;
                    unchecked {
                        if (value >= 10**64) {
                            value /= 10**64;
                            result += 64;
                        }
                        if (value >= 10**32) {
                            value /= 10**32;
                            result += 32;
                        }
                        if (value >= 10**16) {
                            value /= 10**16;
                            result += 16;
                        }
                        if (value >= 10**8) {
                            value /= 10**8;
                            result += 8;
                        }
                        if (value >= 10**4) {
                            value /= 10**4;
                            result += 4;
                        }
                        if (value >= 10**2) {
                            value /= 10**2;
                            result += 2;
                        }
                        if (value >= 10**1) {
                            result += 1;
                        }
                    }
                    return result;
                }
                /**
                 * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                 * Returns 0 if given 0.
                 */
                function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
                    unchecked {
                        uint256 result = log10(value);
                        return result + (rounding == Rounding.Up && 10**result < value ? 1 : 0);
                    }
                }
                /**
                 * @dev Return the log in base 256, rounded down, of a positive value.
                 * Returns 0 if given 0.
                 *
                 * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
                 */
                function log256(uint256 value) internal pure returns (uint256) {
                    uint256 result = 0;
                    unchecked {
                        if (value >> 128 > 0) {
                            value >>= 128;
                            result += 16;
                        }
                        if (value >> 64 > 0) {
                            value >>= 64;
                            result += 8;
                        }
                        if (value >> 32 > 0) {
                            value >>= 32;
                            result += 4;
                        }
                        if (value >> 16 > 0) {
                            value >>= 16;
                            result += 2;
                        }
                        if (value >> 8 > 0) {
                            result += 1;
                        }
                    }
                    return result;
                }
                /**
                 * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
                 * Returns 0 if given 0.
                 */
                function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
                    unchecked {
                        uint256 result = log256(value);
                        return result + (rounding == Rounding.Up && 1 << (result * 8) < value ? 1 : 0);
                    }
                }
            }