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');
    }
}

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: 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);
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "./openzeppelin/security/ReentrancyGuard.sol";
import "./openzeppelin/token/ERC20/ERC20.sol";
import "./openzeppelin/interfaces/IERC165.sol";
import "../interfaces/ITitanOnBurn.sol";
import "../interfaces/ITITANX.sol";
import "../libs/calcFunctions.sol";
import "./GlobalInfo.sol";
import "./MintInfo.sol";
import "./StakeInfo.sol";
import "./BurnInfo.sol";
import "./OwnerInfo.sol";
//custom errors
error TitanX_InvalidAmount();
error TitanX_InsufficientBalance();
error TitanX_NotSupportedContract();
error TitanX_InsufficientProtocolFees();
error TitanX_FailedToSendAmount();
error TitanX_NotAllowed();
error TitanX_NoCycleRewardToClaim();
error TitanX_NoSharesExist();
error TitanX_EmptyUndistributeFees();
error TitanX_InvalidBurnRewardPercent();
error TitanX_InvalidBatchCount();
error TitanX_InvalidMintLadderInterval();
error TitanX_InvalidMintLadderRange();
error TitanX_MaxedWalletMints();
error TitanX_LPTokensHasMinted();
error TitanX_InvalidAddress();
error TitanX_InsufficientBurnAllowance();
/** @title Titan X */
contract TITANX is ERC20, ReentrancyGuard, GlobalInfo, MintInfo, StakeInfo, BurnInfo, OwnerInfo {
    /** Storage Variables*/
    /** @dev stores genesis wallet address */
    address private s_genesisAddress;
    /** @dev stores buy and burn contract address */
    address private s_buyAndBurnAddress;
    /** @dev tracks collected protocol fees until it is distributed */
    uint88 private s_undistributedEth;
    /** @dev tracks burn reward from distributeETH() until payout is triggered */
    uint88 private s_cycleBurnReward;
    /** @dev tracks if initial LP tokens has minted or not */
    InitialLPMinted private s_initialLPMinted;
    /** @dev trigger to turn on burn pool reward */
    BurnPoolEnabled private s_burnPoolEnabled;
    /** @dev tracks user + project burn mints allowance */
    mapping(address => mapping(address => uint256)) private s_allowanceBurnMints;
    /** @dev tracks user + project burn stakes allowance */
    mapping(address => mapping(address => uint256)) private s_allowanceBurnStakes;
    event ProtocolFeeRecevied(address indexed user, uint256 indexed day, uint256 indexed amount);
    event ETHDistributed(address indexed caller, uint256 indexed amount);
    event CyclePayoutTriggered(
        address indexed caller,
        uint256 indexed cycleNo,
        uint256 indexed reward,
        uint256 burnReward
    );
    event RewardClaimed(address indexed user, uint256 indexed reward);
    event ApproveBurnStakes(address indexed user, address indexed project, uint256 indexed amount);
    event ApproveBurnMints(address indexed user, address indexed project, uint256 indexed amount);
    constructor(address genesisAddress, address buyAndBurnAddress) ERC20("TITAN X", "TITANX") {
        if (genesisAddress == address(0)) revert TitanX_InvalidAddress();
        if (buyAndBurnAddress == address(0)) revert TitanX_InvalidAddress();
        s_genesisAddress = genesisAddress;
        s_buyAndBurnAddress = buyAndBurnAddress;
    }
    /**** Mint Functions *****/
    /** @notice create a new mint
     * @param mintPower 1 - 100
     * @param numOfDays mint length of 1 - 280
     */
    function startMint(
        uint256 mintPower,
        uint256 numOfDays
    ) external payable nonReentrant dailyUpdate {
        if (getUserLatestMintId(_msgSender()) + 1 > MAX_MINT_PER_WALLET)
            revert TitanX_MaxedWalletMints();
        uint256 gMintPower = getGlobalMintPower() + mintPower;
        uint256 currentTRank = getGlobalTRank() + 1;
        uint256 gMinting = getTotalMinting() +
            _startMint(
                _msgSender(),
                mintPower,
                numOfDays,
                getCurrentMintableTitan(),
                getCurrentMintPowerBonus(),
                getCurrentEAABonus(),
                getUserBurnAmplifierBonus(_msgSender()),
                gMintPower,
                currentTRank,
                getBatchMintCost(mintPower, 1, getCurrentMintCost())
            );
        _updateMintStats(currentTRank, gMintPower, gMinting);
        _protocolFees(mintPower, 1);
    }
    /** @notice create new mints in batch of up to 100 mints
     * @param mintPower 1 - 100
     * @param numOfDays mint length of 1 - 280
     * @param count 1 - 100
     */
    function batchMint(
        uint256 mintPower,
        uint256 numOfDays,
        uint256 count
    ) external payable nonReentrant dailyUpdate {
        if (count == 0 || count > MAX_BATCH_MINT_COUNT) revert TitanX_InvalidBatchCount();
        if (getUserLatestMintId(_msgSender()) + count > MAX_MINT_PER_WALLET)
            revert TitanX_MaxedWalletMints();
        _startBatchMint(
            _msgSender(),
            mintPower,
            numOfDays,
            getCurrentMintableTitan(),
            getCurrentMintPowerBonus(),
            getCurrentEAABonus(),
            getUserBurnAmplifierBonus(_msgSender()),
            count,
            getBatchMintCost(mintPower, 1, getCurrentMintCost()) //only need 1 mint cost for all mints
        );
        _protocolFees(mintPower, count);
    }
    /** @notice create new mints in ladder up to 100 mints
     * @param mintPower 1 - 100
     * @param minDay minimum mint length
     * @param maxDay maximum mint lenght
     * @param dayInterval day increase from previous mint length
     * @param countPerInterval how many mints per mint length
     */
    function batchMintLadder(
        uint256 mintPower,
        uint256 minDay,
        uint256 maxDay,
        uint256 dayInterval,
        uint256 countPerInterval
    ) external payable nonReentrant dailyUpdate {
        if (dayInterval == 0) revert TitanX_InvalidMintLadderInterval();
        if (maxDay < minDay || minDay == 0 || maxDay > MAX_MINT_LENGTH)
            revert TitanX_InvalidMintLadderRange();
        uint256 count = getBatchMintLadderCount(minDay, maxDay, dayInterval, countPerInterval);
        if (count == 0 || count > MAX_BATCH_MINT_COUNT) revert TitanX_InvalidBatchCount();
        if (getUserLatestMintId(_msgSender()) + count > MAX_MINT_PER_WALLET)
            revert TitanX_MaxedWalletMints();
        uint256 mintCost = getBatchMintCost(mintPower, 1, getCurrentMintCost()); //only need 1 mint cost for all mints
        _startbatchMintLadder(
            _msgSender(),
            mintPower,
            minDay,
            maxDay,
            dayInterval,
            countPerInterval,
            getCurrentMintableTitan(),
            getCurrentMintPowerBonus(),
            getCurrentEAABonus(),
            getUserBurnAmplifierBonus(_msgSender()),
            mintCost
        );
        _protocolFees(mintPower, count);
    }
    /** @notice claim a matured mint
     * @param id mint id
     */
    function claimMint(uint256 id) external dailyUpdate nonReentrant {
        _mintReward(_claimMint(_msgSender(), id, MintAction.CLAIM));
    }
    /** @notice batch claim matured mint of up to 100 claims per run
     */
    function batchClaimMint() external dailyUpdate nonReentrant {
        _mintReward(_batchClaimMint(_msgSender()));
    }
    /**** Stake Functions *****/
    /** @notice start a new stake
     * @param amount titan amount
     * @param numOfDays stake length
     */
    function startStake(uint256 amount, uint256 numOfDays) external dailyUpdate nonReentrant {
        if (balanceOf(_msgSender()) < amount) revert TitanX_InsufficientBalance();
        _burn(_msgSender(), amount);
        _initFirstSharesCycleIndex(
            _msgSender(),
            _startStake(
                _msgSender(),
                amount,
                numOfDays,
                getCurrentShareRate(),
                getCurrentContractDay(),
                getGlobalPayoutTriggered()
            )
        );
    }
    /** @notice end a stake
     * @param id stake id
     */
    function endStake(uint256 id) external dailyUpdate nonReentrant {
        _mint(
            _msgSender(),
            _endStake(
                _msgSender(),
                id,
                getCurrentContractDay(),
                StakeAction.END,
                StakeAction.END_OWN,
                getGlobalPayoutTriggered()
            )
        );
    }
    /** @notice end a stake for others
     * @param user wallet address
     * @param id stake id
     */
    function endStakeForOthers(address user, uint256 id) external dailyUpdate nonReentrant {
        _mint(
            user,
            _endStake(
                user,
                id,
                getCurrentContractDay(),
                StakeAction.END,
                StakeAction.END_OTHER,
                getGlobalPayoutTriggered()
            )
        );
    }
    /** @notice distribute the collected protocol fees into different pools/payouts
     * automatically send the incentive fee to caller, buyAndBurnFunds to BuyAndBurn contract, and genesis wallet
     */
    function distributeETH() external dailyUpdate nonReentrant {
        (uint256 incentiveFee, uint256 buyAndBurnFunds, uint256 genesisWallet) = _distributeETH();
        _sendFunds(incentiveFee, buyAndBurnFunds, genesisWallet);
    }
    /** @notice trigger cylce payouts for day 8, 28, 90, 369, 888 including the burn reward cycle 28
     * As long as the cycle has met its maturiy day (eg. Cycle8 is day 8), payout can be triggered in any day onwards
     */
    function triggerPayouts() external dailyUpdate nonReentrant {
        uint256 globalActiveShares = getGlobalShares() - getGlobalExpiredShares();
        if (globalActiveShares < 1) revert TitanX_NoSharesExist();
        uint256 incentiveFee;
        uint256 buyAndBurnFunds;
        uint256 genesisWallet;
        if (s_undistributedEth != 0)
            (incentiveFee, buyAndBurnFunds, genesisWallet) = _distributeETH();
        uint256 currentContractDay = getCurrentContractDay();
        PayoutTriggered isTriggered = PayoutTriggered.NO;
        _triggerCyclePayout(DAY8, globalActiveShares, currentContractDay) == PayoutTriggered.YES &&
            isTriggered == PayoutTriggered.NO
            ? isTriggered = PayoutTriggered.YES
            : isTriggered;
        _triggerCyclePayout(DAY28, globalActiveShares, currentContractDay) == PayoutTriggered.YES &&
            isTriggered == PayoutTriggered.NO
            ? isTriggered = PayoutTriggered.YES
            : isTriggered;
        _triggerCyclePayout(DAY90, globalActiveShares, currentContractDay) == PayoutTriggered.YES &&
            isTriggered == PayoutTriggered.NO
            ? isTriggered = PayoutTriggered.YES
            : isTriggered;
        _triggerCyclePayout(DAY369, globalActiveShares, currentContractDay) ==
            PayoutTriggered.YES &&
            isTriggered == PayoutTriggered.NO
            ? isTriggered = PayoutTriggered.YES
            : isTriggered;
        _triggerCyclePayout(DAY888, globalActiveShares, currentContractDay) ==
            PayoutTriggered.YES &&
            isTriggered == PayoutTriggered.NO
            ? isTriggered = PayoutTriggered.YES
            : isTriggered;
        if (isTriggered == PayoutTriggered.YES) {
            if (getGlobalPayoutTriggered() == PayoutTriggered.NO) _setGlobalPayoutTriggered();
        }
        if (incentiveFee != 0) _sendFunds(incentiveFee, buyAndBurnFunds, genesisWallet);
    }
    /** @notice claim all user available ETH payouts in one call */
    function claimUserAvailableETHPayouts() external dailyUpdate nonReentrant {
        uint256 reward = _claimCyclePayout(DAY8, PayoutClaim.SHARES);
        reward += _claimCyclePayout(DAY28, PayoutClaim.SHARES);
        reward += _claimCyclePayout(DAY90, PayoutClaim.SHARES);
        reward += _claimCyclePayout(DAY369, PayoutClaim.SHARES);
        reward += _claimCyclePayout(DAY888, PayoutClaim.SHARES);
        if (reward == 0) revert TitanX_NoCycleRewardToClaim();
        _sendViaCall(payable(_msgSender()), reward);
        emit RewardClaimed(_msgSender(), reward);
    }
    /** @notice claim all user available burn rewards in one call */
    function claimUserAvailableETHBurnPool() external dailyUpdate nonReentrant {
        uint256 reward = _claimCyclePayout(DAY28, PayoutClaim.BURN);
        if (reward == 0) revert TitanX_NoCycleRewardToClaim();
        _sendViaCall(payable(_msgSender()), reward);
        emit RewardClaimed(_msgSender(), reward);
    }
    /** @notice Set BuyAndBurn Contract Address - able to change to new contract that supports UniswapV4+
     * Only owner can call this function
     * @param contractAddress BuyAndBurn contract address
     */
    function setBuyAndBurnContractAddress(address contractAddress) external onlyOwner {
        if (contractAddress == address(0)) revert TitanX_InvalidAddress();
        s_buyAndBurnAddress = contractAddress;
    }
    /** @notice enable burn pool to start accumulate reward. Only owner can call this function. */
    function enableBurnPoolReward() external onlyOwner {
        s_burnPoolEnabled = BurnPoolEnabled.TRUE;
    }
    /** @notice Set to new genesis wallet. Only genesis wallet can call this function
     * @param newAddress new genesis wallet address
     */
    function setNewGenesisAddress(address newAddress) external {
        if (_msgSender() != s_genesisAddress) revert TitanX_NotAllowed();
        if (newAddress == address(0)) revert TitanX_InvalidAddress();
        s_genesisAddress = newAddress;
    }
    /** @notice mint initial LP tokens. Only BuyAndBurn contract set by genesis wallet can call this function
     */
    function mintLPTokens() external {
        if (_msgSender() != s_buyAndBurnAddress) revert TitanX_NotAllowed();
        if (s_initialLPMinted == InitialLPMinted.YES) revert TitanX_LPTokensHasMinted();
        s_initialLPMinted = InitialLPMinted.YES;
        _mint(s_buyAndBurnAddress, INITAL_LP_TOKENS);
    }
    /** @notice burn all BuyAndBurn contract Titan */
    function burnLPTokens() external dailyUpdate {
        _burn(s_buyAndBurnAddress, balanceOf(s_buyAndBurnAddress));
    }
    //private functions
    /** @dev mint reward to user and 1% to genesis wallet
     * @param reward titan amount
     */
    function _mintReward(uint256 reward) private {
        _mint(_msgSender(), reward);
        _mint(s_genesisAddress, (reward * 800) / PERCENT_BPS);
    }
    /** @dev send ETH to respective parties
     * @param incentiveFee fees for caller to run distributeETH()
     * @param buyAndBurnFunds funds for buy and burn
     * @param genesisWalletFunds funds for genesis wallet
     */
    function _sendFunds(
        uint256 incentiveFee,
        uint256 buyAndBurnFunds,
        uint256 genesisWalletFunds
    ) private {
        _sendViaCall(payable(_msgSender()), incentiveFee);
        _sendViaCall(payable(s_genesisAddress), genesisWalletFunds);
        _sendViaCall(payable(s_buyAndBurnAddress), buyAndBurnFunds);
    }
    /** @dev calculation to distribute collected protocol fees into different pools/parties */
    function _distributeETH()
        private
        returns (uint256 incentiveFee, uint256 buyAndBurnFunds, uint256 genesisWallet)
    {
        uint256 accumulatedFees = s_undistributedEth;
        if (accumulatedFees == 0) revert TitanX_EmptyUndistributeFees();
        s_undistributedEth = 0;
        emit ETHDistributed(_msgSender(), accumulatedFees);
        incentiveFee = (accumulatedFees * INCENTIVE_FEE_PERCENT) / INCENTIVE_FEE_PERCENT_BASE; //0.01%
        accumulatedFees -= incentiveFee;
        buyAndBurnFunds = (accumulatedFees * PERCENT_TO_BUY_AND_BURN) / PERCENT_BPS;
        uint256 cylceBurnReward = (accumulatedFees * PERCENT_TO_BURN_PAYOUTS) / PERCENT_BPS;
        genesisWallet = (accumulatedFees * PERCENT_TO_GENESIS) / PERCENT_BPS;
        uint256 cycleRewardPool = accumulatedFees -
            buyAndBurnFunds -
            cylceBurnReward -
            genesisWallet;
        if (s_burnPoolEnabled == BurnPoolEnabled.TRUE) s_cycleBurnReward += uint88(cylceBurnReward);
        else buyAndBurnFunds += cylceBurnReward;
        //cycle payout
        if (cycleRewardPool != 0) {
            uint256 cycle8Reward = (cycleRewardPool * CYCLE_8_PERCENT) / PERCENT_BPS;
            uint256 cycle28Reward = (cycleRewardPool * CYCLE_28_PERCENT) / PERCENT_BPS;
            uint256 cycle90Reward = (cycleRewardPool * CYCLE_90_PERCENT) / PERCENT_BPS;
            uint256 cycle369Reward = (cycleRewardPool * CYCLE_369_PERCENT) / PERCENT_BPS;
            _setCyclePayoutPool(DAY8, cycle8Reward);
            _setCyclePayoutPool(DAY28, cycle28Reward);
            _setCyclePayoutPool(DAY90, cycle90Reward);
            _setCyclePayoutPool(DAY369, cycle369Reward);
            _setCyclePayoutPool(
                DAY888,
                cycleRewardPool - cycle8Reward - cycle28Reward - cycle90Reward - cycle369Reward
            );
        }
    }
    /** @dev calcualte required protocol fees, and return the balance (if any)
     * @param mintPower mint power 1-100
     * @param count how many mints
     */
    function _protocolFees(uint256 mintPower, uint256 count) private {
        uint256 protocolFee;
        protocolFee = getBatchMintCost(mintPower, count, getCurrentMintCost());
        if (msg.value < protocolFee) revert TitanX_InsufficientProtocolFees();
        uint256 feeBalance;
        s_undistributedEth += uint88(protocolFee);
        feeBalance = msg.value - protocolFee;
        if (feeBalance != 0) {
            _sendViaCall(payable(_msgSender()), feeBalance);
        }
        emit ProtocolFeeRecevied(_msgSender(), getCurrentContractDay(), protocolFee);
    }
    /** @dev calculate payouts for each cycle day tracked by cycle index
     * @param cycleNo cylce day 8, 28, 90, 369, 888
     * @param globalActiveShares global active shares
     * @param currentContractDay current contract day
     * @return triggered is payout triggered succesfully
     */
    function _triggerCyclePayout(
        uint256 cycleNo,
        uint256 globalActiveShares,
        uint256 currentContractDay
    ) private returns (PayoutTriggered triggered) {
        //check against cylce payout maturity day
        if (currentContractDay < getNextCyclePayoutDay(cycleNo)) return PayoutTriggered.NO;
        //update the next cycle payout day regardless of payout triggered succesfully or not
        _setNextCyclePayoutDay(cycleNo);
        uint256 reward = getCyclePayoutPool(cycleNo);
        if (reward == 0) return PayoutTriggered.NO;
        //calculate cycle reward per share and get new cycle Index
        uint256 cycleIndex = _calculateCycleRewardPerShare(cycleNo, reward, globalActiveShares);
        //calculate burn reward if cycle is 28
        uint256 totalCycleBurn = getCycleBurnTotal(cycleIndex);
        uint256 burnReward;
        if (cycleNo == DAY28 && totalCycleBurn != 0) {
            burnReward = s_cycleBurnReward;
            if (burnReward != 0) {
                s_cycleBurnReward = 0;
                _calculateCycleBurnRewardPerToken(cycleIndex, burnReward, totalCycleBurn);
            }
        }
        emit CyclePayoutTriggered(_msgSender(), cycleNo, reward, burnReward);
        return PayoutTriggered.YES;
    }
    /** @dev calculate user reward with specified cycle day and claim type (shares/burn) and update user's last claim cycle index
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @param payoutClaim claim type - (Shares=0/Burn=1)
     */
    function _claimCyclePayout(uint256 cycleNo, PayoutClaim payoutClaim) private returns (uint256) {
        (
            uint256 reward,
            uint256 userClaimCycleIndex,
            uint256 userClaimSharesIndex,
            uint256 userClaimBurnCycleIndex
        ) = _calculateUserCycleReward(_msgSender(), cycleNo, payoutClaim);
        if (payoutClaim == PayoutClaim.SHARES)
            _updateUserClaimIndexes(
                _msgSender(),
                cycleNo,
                userClaimCycleIndex,
                userClaimSharesIndex
            );
        if (payoutClaim == PayoutClaim.BURN) {
            _updateUserBurnCycleClaimIndex(_msgSender(), cycleNo, userClaimBurnCycleIndex);
        }
        return reward;
    }
    /** @dev burn liquid Titan through other project.
     * called by other contracts for proof of burn 2.0 with up to 8% for both builder fee and user rebate
     * @param user user address
     * @param amount liquid titan amount
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     * @param rewardPaybackAddress builder can opt to receive fee in another address
     */
    function _burnLiquidTitan(
        address user,
        uint256 amount,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage,
        address rewardPaybackAddress
    ) private {
        if (amount == 0) revert TitanX_InvalidAmount();
        if (balanceOf(user) < amount) revert TitanX_InsufficientBalance();
        _spendAllowance(user, _msgSender(), amount);
        _burnbefore(userRebatePercentage, rewardPaybackPercentage);
        _burn(user, amount);
        _burnAfter(
            user,
            amount,
            userRebatePercentage,
            rewardPaybackPercentage,
            rewardPaybackAddress,
            BurnSource.LIQUID
        );
    }
    /** @dev burn stake through other project.
     * called by other contracts for proof of burn 2.0 with up to 8% for both builder fee and user rebate
     * @param user user address
     * @param id stake id
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     * @param rewardPaybackAddress builder can opt to receive fee in another address
     */
    function _burnStake(
        address user,
        uint256 id,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage,
        address rewardPaybackAddress
    ) private {
        _spendBurnStakeAllowance(user);
        _burnbefore(userRebatePercentage, rewardPaybackPercentage);
        _burnAfter(
            user,
            _endStake(
                user,
                id,
                getCurrentContractDay(),
                StakeAction.BURN,
                StakeAction.END_OWN,
                getGlobalPayoutTriggered()
            ),
            userRebatePercentage,
            rewardPaybackPercentage,
            rewardPaybackAddress,
            BurnSource.STAKE
        );
    }
    /** @dev burn mint through other project.
     * called by other contracts for proof of burn 2.0
     * burn mint has no builder reward and no user rebate
     * @param user user address
     * @param id mint id
     */
    function _burnMint(address user, uint256 id) private {
        _spendBurnMintAllowance(user);
        _burnbefore(0, 0);
        uint256 amount = _claimMint(user, id, MintAction.BURN);
        _mint(s_genesisAddress, (amount * 800) / PERCENT_BPS);
        _burnAfter(user, amount, 0, 0, _msgSender(), BurnSource.MINT);
    }
    /** @dev perform checks before burning starts.
     * check reward percentage and check if called by supported contract
     * @param userRebatePercentage percentage for user rebate
     * @param rewardPaybackPercentage percentage for builder fee
     */
    function _burnbefore(
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage
    ) private view {
        if (rewardPaybackPercentage + userRebatePercentage > MAX_BURN_REWARD_PERCENT)
            revert TitanX_InvalidBurnRewardPercent();
        //Only supported contracts is allowed to call this function
        if (
            !IERC165(_msgSender()).supportsInterface(IERC165.supportsInterface.selector) ||
            !IERC165(_msgSender()).supportsInterface(type(ITitanOnBurn).interfaceId)
        ) revert TitanX_NotSupportedContract();
    }
    /** @dev update burn stats and mint reward to builder or user if applicable
     * @param user user address
     * @param amount titan amount burned
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     * @param rewardPaybackAddress builder can opt to receive fee in another address
     * @param source liquid/mint/stake
     */
    function _burnAfter(
        address user,
        uint256 amount,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage,
        address rewardPaybackAddress,
        BurnSource source
    ) private {
        uint256 index = getCurrentCycleIndex(DAY28) + 1;
        /** set to the latest cylceIndex + 1 for fresh wallet
         * same concept as _initFirstSharesCycleIndex, refer to its dev comment  */
        if (getUserBurnTotal(user) == 0) _updateUserBurnCycleClaimIndex(user, DAY28, index);
        _updateBurnAmount(user, _msgSender(), amount, index, source);
        uint256 devFee;
        uint256 userRebate;
        if (rewardPaybackPercentage != 0)
            devFee = (amount * rewardPaybackPercentage * PERCENT_BPS) / (100 * PERCENT_BPS);
        if (userRebatePercentage != 0)
            userRebate = (amount * userRebatePercentage * PERCENT_BPS) / (100 * PERCENT_BPS);
        if (devFee != 0) _mint(rewardPaybackAddress, devFee);
        if (userRebate != 0) _mint(user, userRebate);
        ITitanOnBurn(_msgSender()).onBurn(user, amount);
    }
    /** @dev Recommended method to use to send native coins.
     * @param to receiving address.
     * @param amount in wei.
     */
    function _sendViaCall(address payable to, uint256 amount) private {
        if (to == address(0)) revert TitanX_InvalidAddress();
        (bool sent, ) = to.call{value: amount}("");
        if (!sent) revert TitanX_FailedToSendAmount();
    }
    /** @dev reduce user's allowance for caller (spender/project) by 1 (burn 1 stake at a time)
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     * @param user user address
     */
    function _spendBurnStakeAllowance(address user) private {
        uint256 currentAllowance = allowanceBurnStakes(user, _msgSender());
        if (currentAllowance != type(uint256).max) {
            if (currentAllowance == 0) revert TitanX_InsufficientBurnAllowance();
            --s_allowanceBurnStakes[user][_msgSender()];
        }
    }
    /** @dev reduce user's allowance for caller (spender/project) by 1 (burn 1 mint at a time)
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     * @param user user address
     */
    function _spendBurnMintAllowance(address user) private {
        uint256 currentAllowance = allowanceBurnMints(user, _msgSender());
        if (currentAllowance != type(uint256).max) {
            if (currentAllowance == 0) revert TitanX_InsufficientBurnAllowance();
            --s_allowanceBurnMints[user][_msgSender()];
        }
    }
    //Views
    /** @dev calculate user payout reward with specified cycle day and claim type (shares/burn).
     * it loops through all the unclaimed cylce index until the latest cycle index
     * @param user user address
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @param payoutClaim claim type (Shares=0/Burn=1)
     * @return rewards calculated reward
     * @return userClaimCycleIndex last claim cycle index
     * @return userClaimSharesIndex last claim shares index
     * @return userClaimBurnCycleIndex last claim burn cycle index
     */
    function _calculateUserCycleReward(
        address user,
        uint256 cycleNo,
        PayoutClaim payoutClaim
    )
        private
        view
        returns (
            uint256 rewards,
            uint256 userClaimCycleIndex,
            uint256 userClaimSharesIndex,
            uint256 userClaimBurnCycleIndex
        )
    {
        uint256 cycleMaxIndex = getCurrentCycleIndex(cycleNo);
        if (payoutClaim == PayoutClaim.SHARES) {
            (userClaimCycleIndex, userClaimSharesIndex) = getUserLastClaimIndex(user, cycleNo);
            uint256 sharesMaxIndex = getUserLatestShareIndex(user);
            for (uint256 i = userClaimCycleIndex; i <= cycleMaxIndex; i++) {
                (uint256 payoutPerShare, uint256 payoutDay) = getPayoutPerShare(cycleNo, i);
                uint256 shares;
                //loop shares indexes to find the last updated shares before/same triggered payout day
                for (uint256 j = userClaimSharesIndex; j <= sharesMaxIndex; j++) {
                    if (getUserActiveSharesDay(user, j) <= payoutDay)
                        shares = getUserActiveShares(user, j);
                    else break;
                    userClaimSharesIndex = j;
                }
                if (payoutPerShare != 0 && shares != 0) {
                    //reward has 18 decimals scaling, so here divide by 1e18
                    rewards += (shares * payoutPerShare) / SCALING_FACTOR_1e18;
                }
                userClaimCycleIndex = i + 1;
            }
        } else if (cycleNo == DAY28 && payoutClaim == PayoutClaim.BURN) {
            userClaimBurnCycleIndex = getUserLastBurnClaimIndex(user, cycleNo);
            for (uint256 i = userClaimBurnCycleIndex; i <= cycleMaxIndex; i++) {
                uint256 burnPayoutPerToken = getCycleBurnPayoutPerToken(i);
                rewards += (burnPayoutPerToken != 0)
                    ? (burnPayoutPerToken * _getUserCycleBurnTotal(user, i)) / SCALING_FACTOR_1e18
                    : 0;
                userClaimBurnCycleIndex = i + 1;
            }
        }
    }
    /** @notice get contract ETH balance
     * @return balance eth balance
     */
    function getBalance() public view returns (uint256) {
        return address(this).balance;
    }
    /** @notice get undistributed ETH balance
     * @return amount eth amount
     */
    function getUndistributedEth() public view returns (uint256) {
        return s_undistributedEth;
    }
    /** @notice get user ETH payout for all cycles
     * @param user user address
     * @return reward total reward
     */
    function getUserETHClaimableTotal(address user) public view returns (uint256 reward) {
        uint256 _reward;
        (_reward, , , ) = _calculateUserCycleReward(user, DAY8, PayoutClaim.SHARES);
        reward += _reward;
        (_reward, , , ) = _calculateUserCycleReward(user, DAY28, PayoutClaim.SHARES);
        reward += _reward;
        (_reward, , , ) = _calculateUserCycleReward(user, DAY90, PayoutClaim.SHARES);
        reward += _reward;
        (_reward, , , ) = _calculateUserCycleReward(user, DAY369, PayoutClaim.SHARES);
        reward += _reward;
        (_reward, , , ) = _calculateUserCycleReward(user, DAY888, PayoutClaim.SHARES);
        reward += _reward;
    }
    /** @notice get user burn reward ETH payout
     * @param user user address
     * @return reward burn reward
     */
    function getUserBurnPoolETHClaimableTotal(address user) public view returns (uint256 reward) {
        (reward, , , ) = _calculateUserCycleReward(user, DAY28, PayoutClaim.BURN);
    }
    /** @notice get total penalties from mint and stake
     * @return amount total penalties
     */
    function getTotalPenalties() public view returns (uint256) {
        return getTotalMintPenalty() + getTotalStakePenalty();
    }
    /** @notice get burn pool reward
     * @return reward burn pool reward
     */
    function getCycleBurnPool() public view returns (uint256) {
        return s_cycleBurnReward;
    }
    /** @notice get user current burn cycle percentage
     * @return percentage in 18 decimals
     */
    function getCurrentUserBurnCyclePercentage() public view returns (uint256) {
        uint256 index = getCurrentCycleIndex(DAY28) + 1;
        uint256 cycleBurnTotal = getCycleBurnTotal(index);
        return
            cycleBurnTotal == 0
                ? 0
                : (_getUserCycleBurnTotal(_msgSender(), index) * 100 * SCALING_FACTOR_1e18) /
                    cycleBurnTotal;
    }
    /** @notice get user current cycle total titan burned
     * @param user user address
     * @return burnTotal total titan burned in curreny burn cycle
     */
    function getUserCycleBurnTotal(address user) public view returns (uint256) {
        return _getUserCycleBurnTotal(user, getCurrentCycleIndex(DAY28) + 1);
    }
    function isBurnPoolEnabled() public view returns (BurnPoolEnabled) {
        return s_burnPoolEnabled;
    }
    /** @notice returns user's burn stakes allowance of a project
     * @param user user address
     * @param spender project address
     */
    function allowanceBurnStakes(address user, address spender) public view returns (uint256) {
        return s_allowanceBurnStakes[user][spender];
    }
    /** @notice returns user's burn mints allowance of a project
     * @param user user address
     * @param spender project address
     */
    function allowanceBurnMints(address user, address spender) public view returns (uint256) {
        return s_allowanceBurnMints[user][spender];
    }
    //Public functions for devs to intergrate with Titan
    /** @notice allow anyone to sync dailyUpdate manually */
    function manualDailyUpdate() public dailyUpdate {}
    /** @notice Burn Titan tokens and creates Proof-Of-Burn record to be used by connected DeFi and fee is paid to specified address
     * @param user user address
     * @param amount titan amount
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     * @param rewardPaybackAddress builder can opt to receive fee in another address
     */
    function burnTokensToPayAddress(
        address user,
        uint256 amount,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage,
        address rewardPaybackAddress
    ) public dailyUpdate nonReentrant {
        _burnLiquidTitan(
            user,
            amount,
            userRebatePercentage,
            rewardPaybackPercentage,
            rewardPaybackAddress
        );
    }
    /** @notice Burn Titan tokens and creates Proof-Of-Burn record to be used by connected DeFi and fee is paid to specified address
     * @param user user address
     * @param amount titan amount
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     */
    function burnTokens(
        address user,
        uint256 amount,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage
    ) public dailyUpdate nonReentrant {
        _burnLiquidTitan(user, amount, userRebatePercentage, rewardPaybackPercentage, _msgSender());
    }
    /** @notice allows user to burn liquid titan directly from contract
     * @param amount titan amount
     */
    function userBurnTokens(uint256 amount) public dailyUpdate nonReentrant {
        if (amount == 0) revert TitanX_InvalidAmount();
        if (balanceOf(_msgSender()) < amount) revert TitanX_InsufficientBalance();
        _burn(_msgSender(), amount);
        _updateBurnAmount(
            _msgSender(),
            address(0),
            amount,
            getCurrentCycleIndex(DAY28) + 1,
            BurnSource.LIQUID
        );
    }
    /** @notice Burn stake and creates Proof-Of-Burn record to be used by connected DeFi and fee is paid to specified address
     * @param user user address
     * @param id stake id
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     * @param rewardPaybackAddress builder can opt to receive fee in another address
     */
    function burnStakeToPayAddress(
        address user,
        uint256 id,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage,
        address rewardPaybackAddress
    ) public dailyUpdate nonReentrant {
        _burnStake(user, id, userRebatePercentage, rewardPaybackPercentage, rewardPaybackAddress);
    }
    /** @notice Burn stake and creates Proof-Of-Burn record to be used by connected DeFi and fee is paid to project contract address
     * @param user user address
     * @param id stake id
     * @param userRebatePercentage percentage for user rebate in liquid titan (0 - 8)
     * @param rewardPaybackPercentage percentage for builder fee in liquid titan (0 - 8)
     */
    function burnStake(
        address user,
        uint256 id,
        uint256 userRebatePercentage,
        uint256 rewardPaybackPercentage
    ) public dailyUpdate nonReentrant {
        _burnStake(user, id, userRebatePercentage, rewardPaybackPercentage, _msgSender());
    }
    /** @notice allows user to burn stake directly from contract
     * @param id stake id
     */
    function userBurnStake(uint256 id) public dailyUpdate nonReentrant {
        _updateBurnAmount(
            _msgSender(),
            address(0),
            _endStake(
                _msgSender(),
                id,
                getCurrentContractDay(),
                StakeAction.BURN,
                StakeAction.END_OWN,
                getGlobalPayoutTriggered()
            ),
            getCurrentCycleIndex(DAY28) + 1,
            BurnSource.STAKE
        );
    }
    /** @notice Burn mint and creates Proof-Of-Burn record to be used by connected DeFi.
     * Burn mint has no project reward or user rebate
     * @param user user address
     * @param id mint id
     */
    function burnMint(address user, uint256 id) public dailyUpdate nonReentrant {
        _burnMint(user, id);
    }
    /** @notice allows user to burn mint directly from contract
     * @param id mint id
     */
    function userBurnMint(uint256 id) public dailyUpdate nonReentrant {
        _updateBurnAmount(
            _msgSender(),
            address(0),
            _claimMint(_msgSender(), id, MintAction.BURN),
            getCurrentCycleIndex(DAY28) + 1,
            BurnSource.MINT
        );
    }
    /** @notice Sets `amount` as the allowance of `spender` over the caller's (user) mints.
     * @param spender contract address
     * @param amount allowance amount
     */
    function approveBurnMints(address spender, uint256 amount) public returns (bool) {
        if (spender == address(0)) revert TitanX_InvalidAddress();
        s_allowanceBurnMints[_msgSender()][spender] = amount;
        emit ApproveBurnMints(_msgSender(), spender, amount);
        return true;
    }
    /** @notice Sets `amount` as the allowance of `spender` over the caller's (user) stakes.
     * @param spender contract address
     * @param amount allowance amount
     */
    function approveBurnStakes(address spender, uint256 amount) public returns (bool) {
        if (spender == address(0)) revert TitanX_InvalidAddress();
        s_allowanceBurnStakes[_msgSender()][spender] = amount;
        emit ApproveBurnStakes(_msgSender(), spender, amount);
        return true;
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "./openzeppelin/utils/Context.sol";
error TitanX_NotOnwer();
abstract contract OwnerInfo is Context {
    address private s_owner;
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        s_owner = _msgSender();
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }
    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        if (s_owner != _msgSender()) revert TitanX_NotOnwer();
    }
    /**
     * @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 onlyOwner {
        _setOwner(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 onlyOwner {
        _setOwner(newOwner);
    }
    function _setOwner(address newOwner) private {
        s_owner = newOwner;
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "../libs/constant.sol";
import "../libs/enum.sol";
/**
 * @title BurnInfo
 * @dev this contract is meant to be inherited into main contract
 * @notice It has the variables and functions specifically for tracking burn amount and reward
 */
abstract contract BurnInfo {
    //Variables
    //track the total titan burn amount
    uint256 private s_totalTitanBurned;
    //mappings
    //track wallet address -> total titan burn amount
    mapping(address => uint256) private s_userBurnAmount;
    //track contract/project address -> total titan burn amount
    mapping(address => uint256) private s_project_BurnAmount;
    //track contract/project address, wallet address -> total titan burn amount
    mapping(address => mapping(address => uint256)) private s_projectUser_BurnAmount;
    /** @dev cycleIndex is increased when triggerPayouts() was called successfully
     * so we track data in current cycleIndex + 1 which means tracking for the next cycle payout
     * cycleIndex is passed from the TITANX contract during function call
     */
    //track cycleIndex + 1 -> total burn amount
    mapping(uint256 => uint256) private s_cycle28TotalBurn;
    //track address, cycleIndex + 1 -> total burn amount
    mapping(address => mapping(uint256 => uint256)) private s_userCycle28TotalBurn;
    //track cycleIndex + 1 -> burn payout per token
    mapping(uint256 => uint256) private s_cycle28BurnPayoutPerToken;
    //events
    /** @dev log user burn titan event
     * project can be address(0) if user burns Titan directly from Titan contract
     * burnPoolCycleIndex is the cycle 28 index, which reuse the same index as Day 28 cycle index
     * titanSource 0=Liquid, 1=Mint, 2=Stake
     */
    event TitanBurned(
        address indexed user,
        address indexed project,
        uint256 indexed burnPoolCycleIndex,
        uint256 amount,
        BurnSource titanSource
    );
    //functions
    /** @dev update the burn amount in each 28-cylce for user and project (if any)
     * @param user wallet address
     * @param project contract address
     * @param amount titan amount burned
     * @param cycleIndex cycle payout triggered index
     */
    function _updateBurnAmount(
        address user,
        address project,
        uint256 amount,
        uint256 cycleIndex,
        BurnSource source
    ) internal {
        s_userBurnAmount[user] += amount;
        s_totalTitanBurned += amount;
        s_cycle28TotalBurn[cycleIndex] += amount;
        s_userCycle28TotalBurn[user][cycleIndex] += amount;
        if (project != address(0)) {
            s_project_BurnAmount[project] += amount;
            s_projectUser_BurnAmount[project][user] += amount;
        }
        emit TitanBurned(user, project, cycleIndex, amount, source);
    }
    /**
     * @dev calculate burn reward per titan burned based on total reward / total titan burned in current cycle
     * @param cycleIndex wallet address
     * @param reward contract address
     * @param cycleBurnAmount titan amount burned
     */
    function _calculateCycleBurnRewardPerToken(
        uint256 cycleIndex,
        uint256 reward,
        uint256 cycleBurnAmount
    ) internal {
        //add 18 decimals to reward for better precision in calculation
        s_cycle28BurnPayoutPerToken[cycleIndex] = (reward * SCALING_FACTOR_1e18) / cycleBurnAmount;
    }
    /** @dev returned value is in 18 decimals, need to divide it by 1e18 and 100 (percentage) when using this value for reward calculation
     * The burn amplifier percentage is applied to all future mints. Capped at MAX_BURN_AMP_PERCENT (8%)
     * @param user wallet address
     * @return percentage returns percentage value in 18 decimals
     */
    function getUserBurnAmplifierBonus(address user) public view returns (uint256) {
        uint256 userBurnTotal = getUserBurnTotal(user);
        if (userBurnTotal == 0) return 0;
        if (userBurnTotal >= MAX_BURN_AMP_BASE) return MAX_BURN_AMP_PERCENT;
        return (MAX_BURN_AMP_PERCENT * userBurnTotal) / MAX_BURN_AMP_BASE;
    }
    //views
    /** @notice return total burned titan amount from all users burn or projects burn
     * @return totalBurnAmount returns entire burned titan
     */
    function getTotalBurnTotal() public view returns (uint256) {
        return s_totalTitanBurned;
    }
    /** @notice return user address total burned titan
     * @return userBurnAmount returns user address total burned titan
     */
    function getUserBurnTotal(address user) public view returns (uint256) {
        return s_userBurnAmount[user];
    }
    /** @notice return project address total burned titan amount
     * @return projectTotalBurnAmount returns project total burned titan
     */
    function getProjectBurnTotal(address contractAddress) public view returns (uint256) {
        return s_project_BurnAmount[contractAddress];
    }
    /** @notice return user address total burned titan amount via a project address
     * @param contractAddress project address
     * @param user user address
     * @return projectUserTotalBurnAmount returns user address total burned titan via a project address
     */
    function getProjectUserBurnTotal(
        address contractAddress,
        address user
    ) public view returns (uint256) {
        return s_projectUser_BurnAmount[contractAddress][user];
    }
    /** @notice return cycle28 total burned titan amount with the specified cycleIndex
     * @param cycleIndex cycle index
     * @return cycle28TotalBurn returns cycle28 total burned titan amount with the specified cycleIndex
     */
    function getCycleBurnTotal(uint256 cycleIndex) public view returns (uint256) {
        return s_cycle28TotalBurn[cycleIndex];
    }
    /** @notice return cycle28 total burned titan amount with the specified cycleIndex
     * @param user user address
     * @param cycleIndex cycle index
     * @return cycle28TotalBurn returns cycle28 user address total burned titan amount with the specified cycleIndex
     */
    function _getUserCycleBurnTotal(
        address user,
        uint256 cycleIndex
    ) internal view returns (uint256) {
        return s_userCycle28TotalBurn[user][cycleIndex];
    }
    /** @notice return cycle28 burn payout per titan with the specified cycleIndex
     * @param cycleIndex cycle index
     * @return cycle28TotalBurn returns cycle28 burn payout per titan with the specified cycleIndex
     */
    function getCycleBurnPayoutPerToken(uint256 cycleIndex) public view returns (uint256) {
        return s_cycle28BurnPayoutPerToken[cycleIndex];
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "../libs/calcFunctions.sol";
//custom errors
error TitanX_InvalidStakeLength();
error TitanX_RequireOneMinimumShare();
error TitanX_ExceedMaxAmountPerStake();
error TitanX_NoStakeExists();
error TitanX_StakeHasEnded();
error TitanX_StakeNotMatured();
error TitanX_StakeHasBurned();
error TitanX_MaxedWalletStakes();
abstract contract StakeInfo {
    //Variables
    /** @dev track global stake Id */
    uint256 private s_globalStakeId;
    /** @dev track global shares */
    uint256 private s_globalShares;
    /** @dev track global expired shares */
    uint256 private s_globalExpiredShares;
    /** @dev track global staked titan */
    uint256 private s_globalTitanStaked;
    /** @dev track global end stake penalty */
    uint256 private s_globalStakePenalty;
    /** @dev track global ended stake */
    uint256 private s_globalStakeEnd;
    /** @dev track global burned stake */
    uint256 private s_globalStakeBurn;
    //mappings
    /** @dev track address => stakeId */
    mapping(address => uint256) private s_addressSId;
    /** @dev track address, stakeId => global stake Id */
    mapping(address => mapping(uint256 => uint256)) private s_addressSIdToGlobalStakeId;
    /** @dev track global stake Id => stake info */
    mapping(uint256 => UserStakeInfo) private s_globalStakeIdToStakeInfo;
    /** @dev track address => shares Index */
    mapping(address => uint256) private s_userSharesIndex;
    /** @dev track user total active shares by user shares index
     * s_addressIdToActiveShares[user][index] = UserActiveShares (contract day, total user active shares)
     * works like a snapshot or log when user shares has changed (increase/decrease)
     */
    mapping(address => mapping(uint256 => UserActiveShares)) private s_addressIdToActiveShares;
    //structs
    struct UserStakeInfo {
        uint152 titanAmount;
        uint128 shares;
        uint16 numOfDays;
        uint48 stakeStartTs;
        uint48 maturityTs;
        StakeStatus status;
    }
    struct UserStake {
        uint256 sId;
        uint256 globalStakeId;
        UserStakeInfo stakeInfo;
    }
    struct UserActiveShares {
        uint256 day;
        uint256 activeShares;
    }
    //events
    event StakeStarted(
        address indexed user,
        uint256 indexed globalStakeId,
        uint256 numOfDays,
        UserStakeInfo indexed userStakeInfo
    );
    event StakeEnded(
        address indexed user,
        uint256 indexed globalStakeId,
        uint256 titanAmount,
        uint256 indexed penalty,
        uint256 penaltyAmount
    );
    //functions
    /** @dev create a new stake
     * @param user user address
     * @param amount titan amount
     * @param numOfDays stake lenght
     * @param shareRate current share rate
     * @param day current contract day
     * @param isPayoutTriggered has global payout triggered
     * @return isFirstShares first created shares or not
     */
    function _startStake(
        address user,
        uint256 amount,
        uint256 numOfDays,
        uint256 shareRate,
        uint256 day,
        PayoutTriggered isPayoutTriggered
    ) internal returns (uint256 isFirstShares) {
        uint256 sId = ++s_addressSId[user];
        if (sId > MAX_STAKE_PER_WALLET) revert TitanX_MaxedWalletStakes();
        if (numOfDays < MIN_STAKE_LENGTH || numOfDays > MAX_STAKE_LENGTH)
            revert TitanX_InvalidStakeLength();
        //calculate shares
        uint256 shares = calculateShares(amount, numOfDays, shareRate);
        if (shares / SCALING_FACTOR_1e18 < 1) revert TitanX_RequireOneMinimumShare();
        uint256 currentGStakeId = ++s_globalStakeId;
        uint256 maturityTs;
        maturityTs = block.timestamp + (numOfDays * SECONDS_IN_DAY);
        UserStakeInfo memory userStakeInfo = UserStakeInfo({
            titanAmount: uint152(amount),
            shares: uint128(shares),
            numOfDays: uint16(numOfDays),
            stakeStartTs: uint48(block.timestamp),
            maturityTs: uint48(maturityTs),
            status: StakeStatus.ACTIVE
        });
        /** s_addressSId[user] tracks stake Id for each address
         * s_addressSIdToGlobalStakeId[user][id] tracks stack id to global stake Id
         * s_globalStakeIdToStakeInfo[currentGStakeId] stores stake info
         */
        s_addressSIdToGlobalStakeId[user][sId] = currentGStakeId;
        s_globalStakeIdToStakeInfo[currentGStakeId] = userStakeInfo;
        //update shares changes
        isFirstShares = _updateSharesStats(
            user,
            shares,
            amount,
            day,
            isPayoutTriggered,
            StakeAction.START
        );
        emit StakeStarted(user, currentGStakeId, numOfDays, userStakeInfo);
    }
    /** @dev end stake and calculate pinciple with penalties (if any) or burn stake
     * @param user user address
     * @param id stake Id
     * @param day current contract day
     * @param action end stake or burn stake
     * @param payOther is end stake for others
     * @param isPayoutTriggered has global payout triggered
     * @return titan titan principle
     */
    function _endStake(
        address user,
        uint256 id,
        uint256 day,
        StakeAction action,
        StakeAction payOther,
        PayoutTriggered isPayoutTriggered
    ) internal returns (uint256 titan) {
        uint256 globalStakeId = s_addressSIdToGlobalStakeId[user][id];
        if (globalStakeId == 0) revert TitanX_NoStakeExists();
        UserStakeInfo memory userStakeInfo = s_globalStakeIdToStakeInfo[globalStakeId];
        if (userStakeInfo.status == StakeStatus.ENDED) revert TitanX_StakeHasEnded();
        if (userStakeInfo.status == StakeStatus.BURNED) revert TitanX_StakeHasBurned();
        //end stake for others requires matured stake to prevent EES for others
        if (payOther == StakeAction.END_OTHER && block.timestamp < userStakeInfo.maturityTs)
            revert TitanX_StakeNotMatured();
        //update shares changes
        uint256 shares = userStakeInfo.shares;
        _updateSharesStats(user, shares, userStakeInfo.titanAmount, day, isPayoutTriggered, action);
        if (action == StakeAction.END) {
            ++s_globalStakeEnd;
            s_globalStakeIdToStakeInfo[globalStakeId].status = StakeStatus.ENDED;
        } else if (action == StakeAction.BURN) {
            ++s_globalStakeBurn;
            s_globalStakeIdToStakeInfo[globalStakeId].status = StakeStatus.BURNED;
        }
        titan = _calculatePrinciple(user, globalStakeId, userStakeInfo, action);
    }
    /** @dev update shares changes to track when user shares has changed, this affect the payout calculation
     * @param user user address
     * @param shares shares
     * @param amount titan amount
     * @param day current contract day
     * @param isPayoutTriggered has global payout triggered
     * @param action start stake or end stake
     * @return isFirstShares first created shares or not
     */
    function _updateSharesStats(
        address user,
        uint256 shares,
        uint256 amount,
        uint256 day,
        PayoutTriggered isPayoutTriggered,
        StakeAction action
    ) private returns (uint256 isFirstShares) {
        //Get previous active shares to calculate new shares change
        uint256 index = s_userSharesIndex[user];
        uint256 previousShares = s_addressIdToActiveShares[user][index].activeShares;
        if (action == StakeAction.START) {
            //return 1 if this is a new wallet address
            //this is used to initialize last claim index to the latest cycle index
            if (index == 0) isFirstShares = 1;
            s_addressIdToActiveShares[user][++index].activeShares = previousShares + shares;
            s_globalShares += shares;
            s_globalTitanStaked += amount;
        } else {
            s_addressIdToActiveShares[user][++index].activeShares = previousShares - shares;
            s_globalExpiredShares += shares;
            s_globalTitanStaked -= amount;
        }
        //If global payout hasn't triggered, use current contract day to eligible for payout
        //If global payout has triggered, then start with next contract day as it's no longer eligible to claim latest payout
        s_addressIdToActiveShares[user][index].day = uint128(
            isPayoutTriggered == PayoutTriggered.NO ? day : day + 1
        );
        s_userSharesIndex[user] = index;
    }
    /** @dev calculate stake principle and apply penalty (if any)
     * @param user user address
     * @param globalStakeId global stake Id
     * @param userStakeInfo stake info
     * @param action end stake or burn stake
     * @return principle calculated principle after penalty (if any)
     */
    function _calculatePrinciple(
        address user,
        uint256 globalStakeId,
        UserStakeInfo memory userStakeInfo,
        StakeAction action
    ) internal returns (uint256 principle) {
        uint256 titanAmount = userStakeInfo.titanAmount;
        //penalty is in percentage
        uint256 penalty = calculateEndStakePenalty(
            userStakeInfo.stakeStartTs,
            userStakeInfo.maturityTs,
            block.timestamp,
            action
        );
        uint256 penaltyAmount;
        penaltyAmount = (titanAmount * penalty) / 100;
        principle = titanAmount - penaltyAmount;
        s_globalStakePenalty += penaltyAmount;
        emit StakeEnded(user, globalStakeId, principle, penalty, penaltyAmount);
    }
    //Views
    /** @notice get global shares
     * @return globalShares global shares
     */
    function getGlobalShares() public view returns (uint256) {
        return s_globalShares;
    }
    /** @notice get global expired shares
     * @return globalExpiredShares global expired shares
     */
    function getGlobalExpiredShares() public view returns (uint256) {
        return s_globalExpiredShares;
    }
    /** @notice get global active shares
     * @return globalActiveShares global active shares
     */
    function getGlobalActiveShares() public view returns (uint256) {
        return s_globalShares - s_globalExpiredShares;
    }
    /** @notice get total titan staked
     * @return totalTitanStaked total titan staked
     */
    function getTotalTitanStaked() public view returns (uint256) {
        return s_globalTitanStaked;
    }
    /** @notice get global stake id
     * @return globalStakeId global stake id
     */
    function getGlobalStakeId() public view returns (uint256) {
        return s_globalStakeId;
    }
    /** @notice get global active stakes
     * @return globalActiveStakes global active stakes
     */
    function getGlobalActiveStakes() public view returns (uint256) {
        return s_globalStakeId - getTotalStakeEnd();
    }
    /** @notice get total stake ended
     * @return totalStakeEnded total stake ended
     */
    function getTotalStakeEnd() public view returns (uint256) {
        return s_globalStakeEnd;
    }
    /** @notice get total stake burned
     * @return totalStakeBurned total stake burned
     */
    function getTotalStakeBurn() public view returns (uint256) {
        return s_globalStakeBurn;
    }
    /** @notice get total end stake penalty
     * @return totalEndStakePenalty total end stake penalty
     */
    function getTotalStakePenalty() public view returns (uint256) {
        return s_globalStakePenalty;
    }
    /** @notice get user latest shares index
     * @return latestSharesIndex latest shares index
     */
    function getUserLatestShareIndex(address user) public view returns (uint256) {
        return s_userSharesIndex[user];
    }
    /** @notice get user current active shares
     * @return currentActiveShares current active shares
     */
    function getUserCurrentActiveShares(address user) public view returns (uint256) {
        return s_addressIdToActiveShares[user][getUserLatestShareIndex(user)].activeShares;
    }
    /** @notice get user active shares at sharesIndex
     * @return activeShares active shares at sharesIndex
     */
    function getUserActiveShares(
        address user,
        uint256 sharesIndex
    ) internal view returns (uint256) {
        return s_addressIdToActiveShares[user][sharesIndex].activeShares;
    }
    /** @notice get user active shares contract day at sharesIndex
     * @return activeSharesDay active shares contract day at sharesIndex
     */
    function getUserActiveSharesDay(
        address user,
        uint256 sharesIndex
    ) internal view returns (uint256) {
        return s_addressIdToActiveShares[user][sharesIndex].day;
    }
    /** @notice get stake info with stake id
     * @return stakeInfo stake info
     */
    function getUserStakeInfo(address user, uint256 id) public view returns (UserStakeInfo memory) {
        return s_globalStakeIdToStakeInfo[s_addressSIdToGlobalStakeId[user][id]];
    }
    /** @notice get all stake info of an address
     * @return stakeInfos all stake info of an address
     */
    function getUserStakes(address user) public view returns (UserStake[] memory) {
        uint256 count = s_addressSId[user];
        UserStake[] memory stakes = new UserStake[](count);
        for (uint256 i = 1; i <= count; i++) {
            stakes[i - 1] = UserStake({
                sId: i,
                globalStakeId: uint128(s_addressSIdToGlobalStakeId[user][i]),
                stakeInfo: getUserStakeInfo(user, i)
            });
        }
        return stakes;
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "../libs/calcFunctions.sol";
//custom errors
error TitanX_InvalidMintLength();
error TitanX_InvalidMintPower();
error TitanX_NoMintExists();
error TitanX_MintHasClaimed();
error TitanX_MintNotMature();
error TitanX_MintHasBurned();
abstract contract MintInfo {
    //variables
    /** @dev track global tRank */
    uint256 private s_globalTRank;
    /** @dev track total mint claimed */
    uint256 private s_globalMintClaim;
    /** @dev track total mint burned */
    uint256 private s_globalMintBurn;
    /** @dev track total titan minting */
    uint256 private s_globalTitanMinting;
    /** @dev track total titan penalty */
    uint256 private s_globalTitanMintPenalty;
    /** @dev track global mint power */
    uint256 private s_globalMintPower;
    //mappings
    /** @dev track address => mintId */
    mapping(address => uint256) private s_addressMId;
    /** @dev track address, mintId => tRank info (gTrank, gMintPower) */
    mapping(address => mapping(uint256 => TRankInfo)) private s_addressMIdToTRankInfo;
    /** @dev track global tRank => mintInfo*/
    mapping(uint256 => UserMintInfo) private s_tRankToMintInfo;
    //structs
    struct UserMintInfo {
        uint8 mintPower;
        uint16 numOfDays;
        uint96 mintableTitan;
        uint48 mintStartTs;
        uint48 maturityTs;
        uint32 mintPowerBonus;
        uint32 EAABonus;
        uint128 mintedTitan;
        uint64 mintCost;
        MintStatus status;
    }
    struct TRankInfo {
        uint256 tRank;
        uint256 gMintPower;
    }
    struct UserMint {
        uint256 mId;
        uint256 tRank;
        uint256 gMintPower;
        UserMintInfo mintInfo;
    }
    //events
    event MintStarted(
        address indexed user,
        uint256 indexed tRank,
        uint256 indexed gMintpower,
        UserMintInfo userMintInfo
    );
    event MintClaimed(
        address indexed user,
        uint256 indexed tRank,
        uint256 rewardMinted,
        uint256 indexed penalty,
        uint256 mintPenalty
    );
    //functions
    /** @dev create a new mint
     * @param user user address
     * @param mintPower mint power
     * @param numOfDays mint lenght
     * @param mintableTitan mintable titan
     * @param mintPowerBonus mint power bonus
     * @param EAABonus EAA bonus
     * @param burnAmpBonus burn amplifier bonus
     * @param gMintPower global mint power
     * @param currentTRank current global tRank
     * @param mintCost actual mint cost paid for a mint
     */
    function _startMint(
        address user,
        uint256 mintPower,
        uint256 numOfDays,
        uint256 mintableTitan,
        uint256 mintPowerBonus,
        uint256 EAABonus,
        uint256 burnAmpBonus,
        uint256 gMintPower,
        uint256 currentTRank,
        uint256 mintCost
    ) internal returns (uint256 mintable) {
        if (numOfDays == 0 || numOfDays > MAX_MINT_LENGTH) revert TitanX_InvalidMintLength();
        if (mintPower == 0 || mintPower > MAX_MINT_POWER_CAP) revert TitanX_InvalidMintPower();
        //calculate mint reward up front with the provided params
        mintable = calculateMintReward(mintPower, numOfDays, mintableTitan, EAABonus, burnAmpBonus);
        //store variables into mint info
        UserMintInfo memory userMintInfo = UserMintInfo({
            mintPower: uint8(mintPower),
            numOfDays: uint16(numOfDays),
            mintableTitan: uint96(mintable),
            mintPowerBonus: uint32(mintPowerBonus),
            EAABonus: uint32(EAABonus),
            mintStartTs: uint48(block.timestamp),
            maturityTs: uint48(block.timestamp + (numOfDays * SECONDS_IN_DAY)),
            mintedTitan: 0,
            mintCost: uint64(mintCost),
            status: MintStatus.ACTIVE
        });
        /** s_addressMId[user] tracks mintId for each addrress
         * s_addressMIdToTRankInfo[user][id] tracks current mint tRank and gPowerMint
         *  s_tRankToMintInfo[currentTRank] stores mint info
         */
        uint256 id = ++s_addressMId[user];
        s_addressMIdToTRankInfo[user][id].tRank = currentTRank;
        s_addressMIdToTRankInfo[user][id].gMintPower = gMintPower;
        s_tRankToMintInfo[currentTRank] = userMintInfo;
        emit MintStarted(user, currentTRank, gMintPower, userMintInfo);
    }
    /** @dev create new mint in a batch of up to max 100 mints with the same mint length
     * @param user user address
     * @param mintPower mint power
     * @param numOfDays mint lenght
     * @param mintableTitan mintable titan
     * @param mintPowerBonus mint power bonus
     * @param EAABonus EAA bonus
     * @param burnAmpBonus burn amplifier bonus
     * @param mintCost actual mint cost paid for a mint
     */
    function _startBatchMint(
        address user,
        uint256 mintPower,
        uint256 numOfDays,
        uint256 mintableTitan,
        uint256 mintPowerBonus,
        uint256 EAABonus,
        uint256 burnAmpBonus,
        uint256 count,
        uint256 mintCost
    ) internal {
        uint256 gMintPower = s_globalMintPower;
        uint256 currentTRank = s_globalTRank;
        uint256 gMinting = s_globalTitanMinting;
        for (uint256 i = 0; i < count; i++) {
            gMintPower += mintPower;
            gMinting += _startMint(
                user,
                mintPower,
                numOfDays,
                mintableTitan,
                mintPowerBonus,
                EAABonus,
                burnAmpBonus,
                gMintPower,
                ++currentTRank,
                mintCost
            );
        }
        _updateMintStats(currentTRank, gMintPower, gMinting);
    }
    /** @dev create new mint in a batch of up to max 100 mints with different mint length
     * @param user user address
     * @param mintPower mint power
     * @param minDay minimum start day
     * @param maxDay maximum end day
     * @param dayInterval days interval between each new mint length
     * @param countPerInterval number of mint(s) to create in each mint length interval
     * @param mintableTitan mintable titan
     * @param mintPowerBonus mint power bonus
     * @param EAABonus EAA bonus
     * @param burnAmpBonus burn amplifier bonus
     * @param mintCost actual mint cost paid for a mint
     */
    function _startbatchMintLadder(
        address user,
        uint256 mintPower,
        uint256 minDay,
        uint256 maxDay,
        uint256 dayInterval,
        uint256 countPerInterval,
        uint256 mintableTitan,
        uint256 mintPowerBonus,
        uint256 EAABonus,
        uint256 burnAmpBonus,
        uint256 mintCost
    ) internal {
        uint256 gMintPower = s_globalMintPower;
        uint256 currentTRank = s_globalTRank;
        uint256 gMinting = s_globalTitanMinting;
        /**first for loop is used to determine mint length
         * minDay is the starting mint length
         * maxDay is the max mint length where it stops
         * dayInterval increases the minDay for the next mint
         */
        for (; minDay <= maxDay; minDay += dayInterval) {
            /**first for loop is used to determine mint length
             * second for loop is to create number mints per mint length
             */
            for (uint256 j = 0; j < countPerInterval; j++) {
                gMintPower += mintPower;
                gMinting += _startMint(
                    user,
                    mintPower,
                    minDay,
                    mintableTitan,
                    mintPowerBonus,
                    EAABonus,
                    burnAmpBonus,
                    gMintPower,
                    ++currentTRank,
                    mintCost
                );
            }
        }
        _updateMintStats(currentTRank, gMintPower, gMinting);
    }
    /** @dev update variables
     * @param currentTRank current tRank
     * @param gMintPower current global mint power
     * @param gMinting current global minting
     */
    function _updateMintStats(uint256 currentTRank, uint256 gMintPower, uint256 gMinting) internal {
        s_globalTRank = currentTRank;
        s_globalMintPower = gMintPower;
        s_globalTitanMinting = gMinting;
    }
    /** @dev calculate reward for claim mint or burn mint.
     * Claim mint has maturity check while burn mint would bypass maturity check.
     * @param user user address
     * @param id mint id
     * @param action claim mint or burn mint
     * @return reward calculated final reward after all bonuses and penalty (if any)
     */
    function _claimMint(
        address user,
        uint256 id,
        MintAction action
    ) internal returns (uint256 reward) {
        uint256 tRank = s_addressMIdToTRankInfo[user][id].tRank;
        uint256 gMintPower = s_addressMIdToTRankInfo[user][id].gMintPower;
        if (tRank == 0) revert TitanX_NoMintExists();
        UserMintInfo memory mint = s_tRankToMintInfo[tRank];
        if (mint.status == MintStatus.CLAIMED) revert TitanX_MintHasClaimed();
        if (mint.status == MintStatus.BURNED) revert TitanX_MintHasBurned();
        //Only check maturity for claim mint action, burn mint bypass this check
        if (mint.maturityTs > block.timestamp && action == MintAction.CLAIM)
            revert TitanX_MintNotMature();
        s_globalTitanMinting -= mint.mintableTitan;
        reward = _calculateClaimReward(user, tRank, gMintPower, mint, action);
    }
    /** @dev calculate reward up to 100 claims for batch claim function. Only calculate active and matured mints.
     * @param user user address
     * @return reward total batch claims final calculated reward after all bonuses and penalty (if any)
     */
    function _batchClaimMint(address user) internal returns (uint256 reward) {
        uint256 maxId = s_addressMId[user];
        uint256 claimCount;
        uint256 tRank;
        uint256 gMinting;
        UserMintInfo memory mint;
        for (uint256 i = 1; i <= maxId; i++) {
            tRank = s_addressMIdToTRankInfo[user][i].tRank;
            mint = s_tRankToMintInfo[tRank];
            if (mint.status == MintStatus.ACTIVE && block.timestamp >= mint.maturityTs) {
                reward += _calculateClaimReward(
                    user,
                    tRank,
                    s_addressMIdToTRankInfo[user][i].gMintPower,
                    mint,
                    MintAction.CLAIM
                );
                gMinting += mint.mintableTitan;
                ++claimCount;
            }
            if (claimCount == 100) break;
        }
        s_globalTitanMinting -= gMinting;
    }
    /** @dev calculate final reward with bonuses and penalty (if any)
     * @param user user address
     * @param tRank mint's tRank
     * @param gMintPower mint's gMintPower
     * @param userMintInfo mint's info
     * @param action claim mint or burn mint
     * @return reward calculated final reward after all bonuses and penalty (if any)
     */
    function _calculateClaimReward(
        address user,
        uint256 tRank,
        uint256 gMintPower,
        UserMintInfo memory userMintInfo,
        MintAction action
    ) private returns (uint256 reward) {
        if (action == MintAction.CLAIM) s_tRankToMintInfo[tRank].status = MintStatus.CLAIMED;
        if (action == MintAction.BURN) s_tRankToMintInfo[tRank].status = MintStatus.BURNED;
        uint256 penaltyAmount;
        uint256 penalty;
        uint256 bonus;
        //only calculate penalty when current block timestamp > maturity timestamp
        if (block.timestamp > userMintInfo.maturityTs) {
            penalty = calculateClaimMintPenalty(block.timestamp - userMintInfo.maturityTs);
        }
        //Only Claim action has mintPower bonus
        if (action == MintAction.CLAIM) {
            bonus = calculateMintPowerBonus(
                userMintInfo.mintPowerBonus,
                userMintInfo.mintPower,
                gMintPower,
                s_globalMintPower
            );
        }
        //mintPowerBonus has scaling factor of 1e7, so divide by 1e7
        reward = uint256(userMintInfo.mintableTitan) + (bonus / SCALING_FACTOR_1e7);
        penaltyAmount = (reward * penalty) / 100;
        reward -= penaltyAmount;
        if (action == MintAction.CLAIM) ++s_globalMintClaim;
        if (action == MintAction.BURN) ++s_globalMintBurn;
        if (penaltyAmount != 0) s_globalTitanMintPenalty += penaltyAmount;
        //only stored minted amount for claim mint
        if (action == MintAction.CLAIM) s_tRankToMintInfo[tRank].mintedTitan = uint128(reward);
        emit MintClaimed(user, tRank, reward, penalty, penaltyAmount);
    }
    //views
    /** @notice Returns the latest Mint Id of an address
     * @param user address
     * @return mId latest mint id
     */
    function getUserLatestMintId(address user) public view returns (uint256) {
        return s_addressMId[user];
    }
    /** @notice Returns mint info of an address + mint id
     * @param user address
     * @param id mint id
     * @return mintInfo user mint info
     */
    function getUserMintInfo(
        address user,
        uint256 id
    ) public view returns (UserMintInfo memory mintInfo) {
        return s_tRankToMintInfo[s_addressMIdToTRankInfo[user][id].tRank];
    }
    /** @notice Return all mints info of an address
     * @param user address
     * @return mintInfos all mints info of an address including mint id, tRank and gMintPower
     */
    function getUserMints(address user) public view returns (UserMint[] memory mintInfos) {
        uint256 count = s_addressMId[user];
        mintInfos = new UserMint[](count);
        for (uint256 i = 1; i <= count; i++) {
            mintInfos[i - 1] = UserMint({
                mId: i,
                tRank: s_addressMIdToTRankInfo[user][i].tRank,
                gMintPower: s_addressMIdToTRankInfo[user][i].gMintPower,
                mintInfo: getUserMintInfo(user, i)
            });
        }
    }
    /** @notice Return total mints burned
     * @return totalMintBurned total mints burned
     */
    function getTotalMintBurn() public view returns (uint256) {
        return s_globalMintBurn;
    }
    /** @notice Return current gobal tRank
     * @return globalTRank global tRank
     */
    function getGlobalTRank() public view returns (uint256) {
        return s_globalTRank;
    }
    /** @notice Return current gobal mint power
     * @return globalMintPower global mint power
     */
    function getGlobalMintPower() public view returns (uint256) {
        return s_globalMintPower;
    }
    /** @notice Return total mints claimed
     * @return totalMintClaimed total mints claimed
     */
    function getTotalMintClaim() public view returns (uint256) {
        return s_globalMintClaim;
    }
    /** @notice Return total active mints (exluded claimed and burned mints)
     * @return totalActiveMints total active mints
     */
    function getTotalActiveMints() public view returns (uint256) {
        return s_globalTRank - s_globalMintClaim - s_globalMintBurn;
    }
    /** @notice Return total minting titan
     * @return totalMinting total minting titan
     */
    function getTotalMinting() public view returns (uint256) {
        return s_globalTitanMinting;
    }
    /** @notice Return total titan penalty
     * @return totalTitanPenalty total titan penalty
     */
    function getTotalMintPenalty() public view returns (uint256) {
        return s_globalTitanMintPenalty;
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "../libs/enum.sol";
import "../libs/constant.sol";
abstract contract GlobalInfo {
    //Variables
    //deployed timestamp
    uint256 private immutable i_genesisTs;
    /** @dev track current contract day */
    uint256 private s_currentContractDay;
    /** @dev shareRate starts 800 ether and increases capped at 2800 ether, uint72 has enough size */
    uint72 private s_currentshareRate;
    /** @dev mintCost starts 0.2 ether increases and capped at 1 ether, uint64 has enough size */
    uint64 private s_currentMintCost;
    /** @dev mintableTitan starts 8m ether decreases and capped at 800 ether, uint96 has enough size */
    uint96 private s_currentMintableTitan;
    /** @dev mintPowerBonus starts 350_000_000 and decreases capped at 35_000, uint32 has enough size */
    uint32 private s_currentMintPowerBonus;
    /** @dev EAABonus starts 10_000_000 and decreases to 0, uint32 has enough size */
    uint32 private s_currentEAABonus;
    /** @dev track if any of the cycle day 8, 28, 90, 369, 888 has payout triggered succesfully
     * this is used in end stake where either the shares change should be tracked in current/next payout cycle
     */
    PayoutTriggered private s_isGlobalPayoutTriggered;
    /** @dev track payouts based on every cycle day 8, 28, 90, 369, 888 when distributeETH() is called */
    mapping(uint256 => uint256) private s_cyclePayouts;
    /** @dev track payout index for each cycle day, increased by 1 when triggerPayouts() is called succesfully
     *  eg. curent index is 2, s_cyclePayoutIndex[DAY8] = 2 */
    mapping(uint256 => uint256) private s_cyclePayoutIndex;
    /** @dev track payout info (day and payout per share) for each cycle day
     * eg. s_cyclePayoutIndex is 2,
     *  s_CyclePayoutPerShare[DAY8][2].day = 8
     * s_CyclePayoutPerShare[DAY8][2].payoutPerShare = 0.1
     */
    mapping(uint256 => mapping(uint256 => CycleRewardPerShare)) private s_cyclePayoutPerShare;
    /** @dev track user last payout reward claim index for cycleIndex, burnCycleIndex and sharesIndex
     * so calculation would start from next index instead of the first index
     * [address][DAY8].cycleIndex = 1
     * [address][DAY8].burnCycleIndex = 1
     * [address][DAY8].sharesIndex = 2
     * cycleIndex is the last stop in s_cyclePayoutPerShare
     * sharesIndex is the last stop in s_addressIdToActiveShares
     */
    mapping(address => mapping(uint256 => UserCycleClaimIndex))
        private s_addressCycleToLastClaimIndex;
    /** @dev track when is the next cycle payout day for each cycle day
     * eg. s_nextCyclePayoutDay[DAY8] = 8
     *     s_nextCyclePayoutDay[DAY28] = 28
     */
    mapping(uint256 => uint256) s_nextCyclePayoutDay;
    //structs
    struct CycleRewardPerShare {
        uint256 day;
        uint256 payoutPerShare;
    }
    struct UserCycleClaimIndex {
        uint96 cycleIndex;
        uint96 burnCycleIndex;
        uint64 sharesIndex;
    }
    //event
    event GlobalDailyUpdateStats(
        uint256 indexed day,
        uint256 indexed mintCost,
        uint256 indexed shareRate,
        uint256 mintableTitan,
        uint256 mintPowerBonus,
        uint256 EAABonus
    );
    /** @dev Update variables in terms of day, modifier is used in all external/public functions (exclude view)
     * Every interaction to the contract would run this function to update variables
     */
    modifier dailyUpdate() {
        _dailyUpdate();
        _;
    }
    constructor() {
        i_genesisTs = block.timestamp;
        s_currentContractDay = 1;
        s_currentMintCost = uint64(START_MAX_MINT_COST);
        s_currentMintableTitan = uint96(START_MAX_MINTABLE_PER_DAY);
        s_currentshareRate = uint72(START_SHARE_RATE);
        s_currentMintPowerBonus = uint32(START_MINTPOWER_INCREASE_BONUS);
        s_currentEAABonus = uint32(EAA_START);
        s_nextCyclePayoutDay[DAY8] = DAY8;
        s_nextCyclePayoutDay[DAY28] = DAY28;
        s_nextCyclePayoutDay[DAY90] = DAY90;
        s_nextCyclePayoutDay[DAY369] = DAY369;
        s_nextCyclePayoutDay[DAY888] = DAY888;
    }
    /** @dev calculate and update variables daily and reset triggers flag */
    function _dailyUpdate() private {
        uint256 currentContractDay = s_currentContractDay;
        uint256 currentBlockDay = ((block.timestamp - i_genesisTs) / 1 days) + 1;
        if (currentBlockDay > currentContractDay) {
            //get last day info ready for calculation
            uint256 newMintCost = s_currentMintCost;
            uint256 newShareRate = s_currentshareRate;
            uint256 newMintableTitan = s_currentMintableTitan;
            uint256 newMintPowerBonus = s_currentMintPowerBonus;
            uint256 newEAABonus = s_currentEAABonus;
            uint256 dayDifference = currentBlockDay - currentContractDay;
            /** Reason for a for loop to update Mint supply
             * Ideally, user interaction happens daily, so Mint supply is synced in every day
             *      (cylceDifference = 1)
             * However, if there's no interaction for more than 1 day, then
             *      Mint supply isn't updated correctly due to cylceDifference > 1 day
             * Eg. 2 days of no interaction, then interaction happens in 3rd day.
             *     It's incorrect to only decrease the Mint supply one time as now it's in 3rd day.
             *   And if this happens, there will be no tracked data for the skipped days as not needed
             */
            for (uint256 i; i < dayDifference; i++) {
                newMintCost = (newMintCost * DAILY_MINT_COST_INCREASE_STEP) / PERCENT_BPS;
                newShareRate = (newShareRate * DAILY_SHARE_RATE_INCREASE_STEP) / PERCENT_BPS;
                newMintableTitan =
                    (newMintableTitan * DAILY_SUPPLY_MINTABLE_REDUCTION) /
                    PERCENT_BPS;
                newMintPowerBonus =
                    (newMintPowerBonus * DAILY_MINTPOWER_INCREASE_BONUS_REDUCTION) /
                    PERCENT_BPS;
                if (newMintCost > 1 ether) {
                    newMintCost = CAPPED_MAX_MINT_COST;
                }
                if (newShareRate > CAPPED_MAX_RATE) newShareRate = CAPPED_MAX_RATE;
                if (newMintableTitan < CAPPED_MIN_DAILY_TITAN_MINTABLE) {
                    newMintableTitan = CAPPED_MIN_DAILY_TITAN_MINTABLE;
                }
                if (newMintPowerBonus < CAPPED_MIN_MINTPOWER_BONUS) {
                    newMintPowerBonus = CAPPED_MIN_MINTPOWER_BONUS;
                }
                if (currentBlockDay <= MAX_BONUS_DAY) {
                    newEAABonus -= EAA_BONUSE_FIXED_REDUCTION_PER_DAY;
                } else {
                    newEAABonus = EAA_END;
                }
                emit GlobalDailyUpdateStats(
                    ++currentContractDay,
                    newMintCost,
                    newShareRate,
                    newMintableTitan,
                    newMintPowerBonus,
                    newEAABonus
                );
            }
            s_currentMintCost = uint64(newMintCost);
            s_currentshareRate = uint72(newShareRate);
            s_currentMintableTitan = uint96(newMintableTitan);
            s_currentMintPowerBonus = uint32(newMintPowerBonus);
            s_currentEAABonus = uint32(newEAABonus);
            s_currentContractDay = currentBlockDay;
            s_isGlobalPayoutTriggered = PayoutTriggered.NO;
        }
    }
    /** @dev first created shares will start from the last payout index + 1 (next cycle payout)
     * as first shares will always disqualified from past payouts
     * reduce gas cost needed to loop from first index
     * @param user user address
     * @param isFirstShares flag to only initialize when address is fresh wallet
     */
    function _initFirstSharesCycleIndex(address user, uint256 isFirstShares) internal {
        if (isFirstShares == 1) {
            if (s_cyclePayoutIndex[DAY8] != 0) {
                s_addressCycleToLastClaimIndex[user][DAY8].cycleIndex = uint96(
                    s_cyclePayoutIndex[DAY8] + 1
                );
                s_addressCycleToLastClaimIndex[user][DAY28].cycleIndex = uint96(
                    s_cyclePayoutIndex[DAY28] + 1
                );
                s_addressCycleToLastClaimIndex[user][DAY90].cycleIndex = uint96(
                    s_cyclePayoutIndex[DAY90] + 1
                );
                s_addressCycleToLastClaimIndex[user][DAY369].cycleIndex = uint96(
                    s_cyclePayoutIndex[DAY369] + 1
                );
                s_addressCycleToLastClaimIndex[user][DAY888].cycleIndex = uint96(
                    s_cyclePayoutIndex[DAY888] + 1
                );
            }
        }
    }
    /** @dev first created shares will start from the last payout index + 1 (next cycle payout)
     * as first shares will always disqualified from past payouts
     * reduce gas cost needed to loop from first index
     * @param cycleNo cylce day 8, 28, 90, 369, 888
     * @param reward total accumulated reward in cycle day 8, 28, 90, 369, 888
     * @param globalActiveShares global active shares
     * @return index return latest current cycleIndex
     */
    function _calculateCycleRewardPerShare(
        uint256 cycleNo,
        uint256 reward,
        uint256 globalActiveShares
    ) internal returns (uint256 index) {
        s_cyclePayouts[cycleNo] = 0;
        index = ++s_cyclePayoutIndex[cycleNo];
        //add 18 decimals to reward for better precision in calculation
        s_cyclePayoutPerShare[cycleNo][index].payoutPerShare =
            (reward * SCALING_FACTOR_1e18) /
            globalActiveShares;
        s_cyclePayoutPerShare[cycleNo][index].day = getCurrentContractDay();
    }
    /** @dev update with the last index where a user has claimed the payout reward
     * @param user user address
     * @param cycleNo cylce day 8, 28, 90, 369, 888
     * @param userClaimCycleIndex last claimed cycle index
     * @param userClaimSharesIndex last claimed shares index
     */
    function _updateUserClaimIndexes(
        address user,
        uint256 cycleNo,
        uint256 userClaimCycleIndex,
        uint256 userClaimSharesIndex
    ) internal {
        if (userClaimCycleIndex != s_addressCycleToLastClaimIndex[user][cycleNo].cycleIndex)
            s_addressCycleToLastClaimIndex[user][cycleNo].cycleIndex = uint96(userClaimCycleIndex);
        if (userClaimSharesIndex != s_addressCycleToLastClaimIndex[user][cycleNo].sharesIndex)
            s_addressCycleToLastClaimIndex[user][cycleNo].sharesIndex = uint64(
                userClaimSharesIndex
            );
    }
    /** @dev update with the last index where a user has claimed the burn payout reward
     * @param user user address
     * @param cycleNo cylce day 8, 28, 90, 369, 888
     * @param userClaimBurnCycleIndex last claimed burn cycle index
     */
    function _updateUserBurnCycleClaimIndex(
        address user,
        uint256 cycleNo,
        uint256 userClaimBurnCycleIndex
    ) internal {
        if (userClaimBurnCycleIndex != s_addressCycleToLastClaimIndex[user][cycleNo].burnCycleIndex)
            s_addressCycleToLastClaimIndex[user][cycleNo].burnCycleIndex = uint96(
                userClaimBurnCycleIndex
            );
    }
    /** @dev set to YES when any of the cycle days payout is triggered
     * reset to NO in new contract day
     */
    function _setGlobalPayoutTriggered() internal {
        s_isGlobalPayoutTriggered = PayoutTriggered.YES;
    }
    /** @dev add reward into cycle day 8, 28, 90, 369, 888 pool
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @param reward reward from distributeETH()
     */
    function _setCyclePayoutPool(uint256 cycleNo, uint256 reward) internal {
        s_cyclePayouts[cycleNo] += reward;
    }
    /** @dev calculate and update the next payout day for specified cycleNo
     * the formula will update the payout day based on current contract day
     * this is to make sure the value is correct when for some reason has skipped more than one cycle payout
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     */
    function _setNextCyclePayoutDay(uint256 cycleNo) internal {
        uint256 maturityDay = s_nextCyclePayoutDay[cycleNo];
        uint256 currentContractDay = s_currentContractDay;
        if (currentContractDay >= maturityDay) {
            s_nextCyclePayoutDay[cycleNo] +=
                cycleNo *
                (((currentContractDay - maturityDay) / cycleNo) + 1);
        }
    }
    /** Views */
    /** @notice Returns current block timestamp
     * @return currentBlockTs current block timestamp
     */
    function getCurrentBlockTimeStamp() public view returns (uint256) {
        return block.timestamp;
    }
    /** @notice Returns current contract day
     * @return currentContractDay current contract day
     */
    function getCurrentContractDay() public view returns (uint256) {
        return s_currentContractDay;
    }
    /** @notice Returns current mint cost
     * @return currentMintCost current block timestamp
     */
    function getCurrentMintCost() public view returns (uint256) {
        return s_currentMintCost;
    }
    /** @notice Returns current share rate
     * @return currentShareRate current share rate
     */
    function getCurrentShareRate() public view returns (uint256) {
        return s_currentshareRate;
    }
    /** @notice Returns current mintable titan
     * @return currentMintableTitan current mintable titan
     */
    function getCurrentMintableTitan() public view returns (uint256) {
        return s_currentMintableTitan;
    }
    /** @notice Returns current mint power bonus
     * @return currentMintPowerBonus current mint power bonus
     */
    function getCurrentMintPowerBonus() public view returns (uint256) {
        return s_currentMintPowerBonus;
    }
    /** @notice Returns current contract EAA bonus
     * @return currentEAABonus current EAA bonus
     */
    function getCurrentEAABonus() public view returns (uint256) {
        return s_currentEAABonus;
    }
    /** @notice Returns current cycle index for the specified cycle day
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @return currentCycleIndex current cycle index to track the payouts
     */
    function getCurrentCycleIndex(uint256 cycleNo) public view returns (uint256) {
        return s_cyclePayoutIndex[cycleNo];
    }
    /** @notice Returns whether payout is triggered successfully in any cylce day
     * @return isTriggered 0 or 1, 0= No, 1=Yes
     */
    function getGlobalPayoutTriggered() public view returns (PayoutTriggered) {
        return s_isGlobalPayoutTriggered;
    }
    /** @notice Returns the distributed pool reward for the specified cycle day
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @return currentPayoutPool current accumulated payout pool
     */
    function getCyclePayoutPool(uint256 cycleNo) public view returns (uint256) {
        return s_cyclePayouts[cycleNo];
    }
    /** @notice Returns the calculated payout per share and contract day for the specified cycle day and index
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @param index cycle index
     * @return payoutPerShare calculated payout per share
     * @return triggeredDay the day when payout was triggered to perform calculation
     */
    function getPayoutPerShare(
        uint256 cycleNo,
        uint256 index
    ) public view returns (uint256, uint256) {
        return (
            s_cyclePayoutPerShare[cycleNo][index].payoutPerShare,
            s_cyclePayoutPerShare[cycleNo][index].day
        );
    }
    /** @notice Returns user's last claimed shares payout indexes for the specified cycle day
     * @param user user address
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @return cycleIndex cycle index
     * @return sharesIndex shares index
     
     */
    function getUserLastClaimIndex(
        address user,
        uint256 cycleNo
    ) public view returns (uint256 cycleIndex, uint256 sharesIndex) {
        return (
            s_addressCycleToLastClaimIndex[user][cycleNo].cycleIndex,
            s_addressCycleToLastClaimIndex[user][cycleNo].sharesIndex
        );
    }
    /** @notice Returns user's last claimed burn payout index for the specified cycle day
     * @param user user address
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @return burnCycleIndex burn cycle index
     */
    function getUserLastBurnClaimIndex(
        address user,
        uint256 cycleNo
    ) public view returns (uint256 burnCycleIndex) {
        return s_addressCycleToLastClaimIndex[user][cycleNo].burnCycleIndex;
    }
    /** @notice Returns contract deployment block timestamp
     * @return genesisTs deployed timestamp
     */
    function genesisTs() public view returns (uint256) {
        return i_genesisTs;
    }
    /** @notice Returns next payout day for the specified cycle day
     * @param cycleNo cycle day 8, 28, 90, 369, 888
     * @return nextPayoutDay next payout day
     */
    function getNextCyclePayoutDay(uint256 cycleNo) public view returns (uint256) {
        return s_nextCyclePayoutDay[cycleNo];
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
import "./constant.sol";
import "./enum.sol";
//TitanX
/**@notice get batch mint ladder total count
 * @param minDay minimum mint length
 * @param maxDay maximum mint length, cap at 280
 * @param dayInterval day increase from previous mint length
 * @param countPerInterval number of mints per minth length
 * @return count total mints
 */
function getBatchMintLadderCount(
    uint256 minDay,
    uint256 maxDay,
    uint256 dayInterval,
    uint256 countPerInterval
) pure returns (uint256 count) {
    if (maxDay > minDay) {
        count = (((maxDay - minDay) / dayInterval) + 1) * countPerInterval;
    }
}
/** @notice get incentive fee in 4 decimals scaling
 * @return fee fee
 */
function getIncentiveFeePercent() pure returns (uint256) {
    return (INCENTIVE_FEE_PERCENT * 1e4) / INCENTIVE_FEE_PERCENT_BASE;
}
/** @notice get batch mint cost
 * @param mintPower mint power (1 - 100)
 * @param count number of mints
 * @return mintCost total mint cost
 */
function getBatchMintCost(
    uint256 mintPower,
    uint256 count,
    uint256 mintCost
) pure returns (uint256) {
    return (mintCost * mintPower * count) / MAX_MINT_POWER_CAP;
}
//MintInfo
/** @notice the formula to calculate mint reward at create new mint
 * @param mintPower mint power 1 - 100
 * @param numOfDays mint length 1 - 280
 * @param mintableTitan current contract day mintable titan
 * @param EAABonus current contract day EAA Bonus
 * @param burnAmpBonus user burn amplifier bonus from getUserBurnAmplifierBonus(user)
 * @return reward base titan amount
 */
function calculateMintReward(
    uint256 mintPower,
    uint256 numOfDays,
    uint256 mintableTitan,
    uint256 EAABonus,
    uint256 burnAmpBonus
) pure returns (uint256 reward) {
    uint256 baseReward = (mintableTitan * mintPower * numOfDays);
    if (numOfDays != 1)
        baseReward -= (baseReward * MINT_DAILY_REDUCTION * (numOfDays - 1)) / PERCENT_BPS;
    reward = baseReward;
    if (EAABonus != 0) {
        //EAA Bonus has 1e6 scaling, so here divide by 1e6
        reward += ((baseReward * EAABonus) / 100 / SCALING_FACTOR_1e6);
    }
    if (burnAmpBonus != 0) {
        //burnAmpBonus has 1e18 scaling
        reward += (baseReward * burnAmpBonus) / 100 / SCALING_FACTOR_1e18;
    }
    reward /= MAX_MINT_POWER_CAP;
}
/** @notice the formula to calculate bonus reward
 * heavily influenced by the difference between current global mint power and user mint's global mint power
 * @param mintPowerBonus mint power bonus from mintinfo
 * @param mintPower mint power 1 - 100 from mintinfo
 * @param gMintPower global mint power from mintinfo
 * @param globalMintPower current global mint power
 * @return bonus bonus amount in titan
 */
function calculateMintPowerBonus(
    uint256 mintPowerBonus,
    uint256 mintPower,
    uint256 gMintPower,
    uint256 globalMintPower
) pure returns (uint256 bonus) {
    if (globalMintPower <= gMintPower) return 0;
    bonus = (((mintPowerBonus * mintPower * (globalMintPower - gMintPower)) * SCALING_FACTOR_1e18) /
        MAX_MINT_POWER_CAP);
}
/** @notice Return max mint length
 * @return maxMintLength max mint length
 */
function getMaxMintDays() pure returns (uint256) {
    return MAX_MINT_LENGTH;
}
/** @notice Return max mints per wallet
 * @return maxMintPerWallet max mints per wallet
 */
function getMaxMintsPerWallet() pure returns (uint256) {
    return MAX_MINT_PER_WALLET;
}
/**
 * @dev Return penalty percentage based on number of days late after the grace period of 7 days
 * @param secsLate seconds late (block timestamp - maturity timestamp)
 * @return penalty penalty in percentage
 */
function calculateClaimMintPenalty(uint256 secsLate) pure returns (uint256 penalty) {
    if (secsLate <= CLAIM_MINT_GRACE_PERIOD * SECONDS_IN_DAY) return 0;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 1) * SECONDS_IN_DAY) return 1;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 2) * SECONDS_IN_DAY) return 3;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 3) * SECONDS_IN_DAY) return 8;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 4) * SECONDS_IN_DAY) return 17;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 5) * SECONDS_IN_DAY) return 35;
    if (secsLate <= (CLAIM_MINT_GRACE_PERIOD + 6) * SECONDS_IN_DAY) return 72;
    return 99;
}
//StakeInfo
error TitanX_AtLeastHalfMaturity();
/** @notice get max stake length
 * @return maxStakeLength max stake length
 */
function getMaxStakeLength() pure returns (uint256) {
    return MAX_STAKE_LENGTH;
}
/** @notice calculate shares and shares bonus
 * @param amount titan amount
 * @param noOfDays stake length
 * @param shareRate current contract share rate
 * @return shares calculated shares in 18 decimals
 */
function calculateShares(
    uint256 amount,
    uint256 noOfDays,
    uint256 shareRate
) pure returns (uint256) {
    uint256 shares = amount;
    shares += (shares * calculateShareBonus(amount, noOfDays)) / SCALING_FACTOR_1e11;
    shares /= (shareRate / SCALING_FACTOR_1e18);
    return shares;
}
/** @notice calculate share bonus
 * @param amount titan amount
 * @param noOfDays stake length
 * @return shareBonus calculated shares bonus in 11 decimals
 */
function calculateShareBonus(uint256 amount, uint256 noOfDays) pure returns (uint256 shareBonus) {
    uint256 cappedExtraDays = noOfDays <= LPB_MAX_DAYS ? noOfDays : LPB_MAX_DAYS;
    uint256 cappedStakedTitan = amount <= BPB_MAX_TITAN ? amount : BPB_MAX_TITAN;
    shareBonus =
        ((cappedExtraDays * SCALING_FACTOR_1e11) / LPB_PER_PERCENT) +
        ((cappedStakedTitan * SCALING_FACTOR_1e11) / BPB_PER_PERCENT);
    return shareBonus;
}
/** @notice calculate end stake penalty
 * @param stakeStartTs start stake timestamp
 * @param maturityTs  maturity timestamp
 * @param currentBlockTs current block timestamp
 * @param action end stake or burn stake
 * @return penalty penalty in percentage
 */
function calculateEndStakePenalty(
    uint256 stakeStartTs,
    uint256 maturityTs,
    uint256 currentBlockTs,
    StakeAction action
) view returns (uint256) {
    //Matured, then calculate and return penalty
    if (currentBlockTs > maturityTs) {
        uint256 lateSec = currentBlockTs - maturityTs;
        uint256 gracePeriodSec = END_STAKE_GRACE_PERIOD * SECONDS_IN_DAY;
        if (lateSec <= gracePeriodSec) return 0;
        return max((min((lateSec - gracePeriodSec), 1) / SECONDS_IN_DAY) + 1, 99);
    }
    //burn stake is excluded from penalty
    //if not matured and action is burn stake then return 0
    if (action == StakeAction.BURN) return 0;
    //Emergency End Stake
    //Not allow to EES below 50% maturity
    if (block.timestamp < stakeStartTs + (maturityTs - stakeStartTs) / 2)
        revert TitanX_AtLeastHalfMaturity();
    //50% penalty for EES before maturity timestamp
    return 50;
}
//a - input to check against b
//b - minimum number
function min(uint256 a, uint256 b) pure returns (uint256) {
    if (a > b) return a;
    return b;
}
//a - input to check against b
//b - maximum number
function max(uint256 a, uint256 b) pure returns (uint256) {
    if (a > b) return b;
    return a;
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
interface ITITANX {
    function balanceOf(address account) external returns (uint256);
    function getBalance() external;
    function mintLPTokens() external;
    function burnLPTokens() external;
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
interface ITitanOnBurn {
    function onBurn(address user, uint256 amount) external;
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC165.sol)
pragma solidity ^0.8.0;
import "../utils/introspection/IERC165.sol";
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/ERC20.sol)
pragma solidity ^0.8.0;
import "./IERC20.sol";
import "./extensions/IERC20Metadata.sol";
import "../../utils/Context.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 ERC20 is Context, IERC20, IERC20Metadata {
    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.
     */
    constructor(string memory name_, string memory symbol_) {
        _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 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 {}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (security/ReentrancyGuard.sol)
pragma solidity ^0.8.0;
/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.
    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;
    uint256 private _status;
    constructor() {
        _status = _NOT_ENTERED;
    }
    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }
    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;
    }
    function _nonReentrantAfter() private {
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
    /**
     * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
     * `nonReentrant` function in the call stack.
     */
    function _reentrancyGuardEntered() internal view returns (bool) {
        return _status == _ENTERED;
    }
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
enum MintAction {
    CLAIM,
    BURN
}
enum MintStatus {
    ACTIVE,
    CLAIMED,
    BURNED
}
enum StakeAction {
    START,
    END,
    BURN,
    END_OWN,
    END_OTHER
}
enum StakeStatus {
    ACTIVE,
    ENDED,
    BURNED
}
enum PayoutTriggered {
    NO,
    YES
}
enum InitialLPMinted {
    NO,
    YES
}
enum PayoutClaim {
    SHARES,
    BURN
}
enum BurnSource {
    LIQUID,
    MINT,
    STAKE
}
enum BurnPoolEnabled {
    FALSE,
    TRUE
}
// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.10;
// ===================== common ==========================================
uint256 constant SECONDS_IN_DAY = 86400;
uint256 constant SCALING_FACTOR_1e3 = 1e3;
uint256 constant SCALING_FACTOR_1e6 = 1e6;
uint256 constant SCALING_FACTOR_1e7 = 1e7;
uint256 constant SCALING_FACTOR_1e11 = 1e11;
uint256 constant SCALING_FACTOR_1e18 = 1e18;
// ===================== TITANX ==========================================
uint256 constant PERCENT_TO_BUY_AND_BURN = 62_00;
uint256 constant PERCENT_TO_CYCLE_PAYOUTS = 28_00;
uint256 constant PERCENT_TO_BURN_PAYOUTS = 7_00;
uint256 constant PERCENT_TO_GENESIS = 3_00;
uint256 constant INCENTIVE_FEE_PERCENT = 3300;
uint256 constant INCENTIVE_FEE_PERCENT_BASE = 1_000_000;
uint256 constant INITAL_LP_TOKENS = 100_000_000_000 ether;
// ===================== globalInfo ==========================================
//Titan Supply Variables
uint256 constant START_MAX_MINTABLE_PER_DAY = 8_000_000 ether;
uint256 constant CAPPED_MIN_DAILY_TITAN_MINTABLE = 800 ether;
uint256 constant DAILY_SUPPLY_MINTABLE_REDUCTION = 99_65;
//EAA Variables
uint256 constant EAA_START = 10 * SCALING_FACTOR_1e6;
uint256 constant EAA_BONUSE_FIXED_REDUCTION_PER_DAY = 28_571;
uint256 constant EAA_END = 0;
uint256 constant MAX_BONUS_DAY = 350;
//Mint Cost Variables
uint256 constant START_MAX_MINT_COST = 0.2 ether;
uint256 constant CAPPED_MAX_MINT_COST = 1 ether;
uint256 constant DAILY_MINT_COST_INCREASE_STEP = 100_08;
//mintPower Bonus Variables
uint256 constant START_MINTPOWER_INCREASE_BONUS = 35 * SCALING_FACTOR_1e7; //starts at 35 with 1e7 scaling factor
uint256 constant CAPPED_MIN_MINTPOWER_BONUS = 35 * SCALING_FACTOR_1e3; //capped min of 0.0035 * 1e7 = 35 * 1e3
uint256 constant DAILY_MINTPOWER_INCREASE_BONUS_REDUCTION = 99_65;
//Share Rate Variables
uint256 constant START_SHARE_RATE = 800 ether;
uint256 constant DAILY_SHARE_RATE_INCREASE_STEP = 100_03;
uint256 constant CAPPED_MAX_RATE = 2_800 ether;
//Cycle Variables
uint256 constant DAY8 = 8;
uint256 constant DAY28 = 28;
uint256 constant DAY90 = 90;
uint256 constant DAY369 = 369;
uint256 constant DAY888 = 888;
uint256 constant CYCLE_8_PERCENT = 28_00;
uint256 constant CYCLE_28_PERCENT = 28_00;
uint256 constant CYCLE_90_PERCENT = 18_00;
uint256 constant CYCLE_369_PERCENT = 18_00;
uint256 constant CYCLE_888_PERCENT = 8_00;
uint256 constant PERCENT_BPS = 100_00;
// ===================== mintInfo ==========================================
uint256 constant MAX_MINT_POWER_CAP = 100;
uint256 constant MAX_MINT_LENGTH = 280;
uint256 constant CLAIM_MINT_GRACE_PERIOD = 7;
uint256 constant MAX_BATCH_MINT_COUNT = 100;
uint256 constant MAX_MINT_PER_WALLET = 1000;
uint256 constant MAX_BURN_AMP_BASE = 80 * 1e9 * 1 ether;
uint256 constant MAX_BURN_AMP_PERCENT = 8 ether;
uint256 constant MINT_DAILY_REDUCTION = 11;
// ===================== stakeInfo ==========================================
uint256 constant MAX_STAKE_PER_WALLET = 1000;
uint256 constant MIN_STAKE_LENGTH = 28;
uint256 constant MAX_STAKE_LENGTH = 3500;
uint256 constant END_STAKE_GRACE_PERIOD = 7;
/* Stake Longer Pays Better bonus */
uint256 constant LPB_MAX_DAYS = 2888;
uint256 constant LPB_PER_PERCENT = 825;
/* Stake Bigger Pays Better bonus */
uint256 constant BPB_MAX_TITAN = 100 * 1e9 * SCALING_FACTOR_1e18; //100 billion
uint256 constant BPB_PER_PERCENT = 1_250_000_000_000 * SCALING_FACTOR_1e18;
// ===================== burnInfo ==========================================
uint256 constant MAX_BURN_REWARD_PERCENT = 8;
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
pragma solidity ^0.8.0;
/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)
pragma solidity ^0.8.0;
import "../IERC20.sol";
/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
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 v4.6.0) (token/ERC20/IERC20.sol)
pragma solidity ^0.8.0;
/**
 * @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 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 (utils/introspection/IERC165.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// Copyright (C) 2015, 2016, 2017 Dapphub

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.4.18;

contract WETH9 {
    string public name     = "Wrapped Ether";
    string public symbol   = "WETH";
    uint8  public decimals = 18;

    event  Approval(address indexed src, address indexed guy, uint wad);
    event  Transfer(address indexed src, address indexed dst, uint wad);
    event  Deposit(address indexed dst, uint wad);
    event  Withdrawal(address indexed src, uint wad);

    mapping (address => uint)                       public  balanceOf;
    mapping (address => mapping (address => uint))  public  allowance;

    function() public payable {
        deposit();
    }
    function deposit() public payable {
        balanceOf[msg.sender] += msg.value;
        Deposit(msg.sender, msg.value);
    }
    function withdraw(uint wad) public {
        require(balanceOf[msg.sender] >= wad);
        balanceOf[msg.sender] -= wad;
        msg.sender.transfer(wad);
        Withdrawal(msg.sender, wad);
    }

    function totalSupply() public view returns (uint) {
        return this.balance;
    }

    function approve(address guy, uint wad) public returns (bool) {
        allowance[msg.sender][guy] = wad;
        Approval(msg.sender, guy, wad);
        return true;
    }

    function transfer(address dst, uint wad) public returns (bool) {
        return transferFrom(msg.sender, dst, wad);
    }

    function transferFrom(address src, address dst, uint wad)
        public
        returns (bool)
    {
        require(balanceOf[src] >= wad);

        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
            require(allowance[src][msg.sender] >= wad);
            allowance[src][msg.sender] -= wad;
        }

        balanceOf[src] -= wad;
        balanceOf[dst] += wad;

        Transfer(src, dst, wad);

        return true;
    }
}


/*
                    GNU GENERAL PUBLIC LICENSE
                       Version 3, 29 June 2007

 Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
 Everyone is permitted to copy and distribute verbatim copies
 of this license document, but changing it is not allowed.

                            Preamble

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software and other kinds of works.

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to take away your freedom to share and change the works.  By contrast,
the GNU General Public License is intended to guarantee your freedom to
share and change all versions of a program--to make sure it remains free
software for all its users.  We, the Free Software Foundation, use the
GNU General Public License for most of our software; it applies also to
any other work released this way by its authors.  You can apply it to
your programs, too.

  When we speak of free software, we are referring to freedom, not
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    copy the object code is a network server, the Corresponding Source
    may be on a different server (operated by you or a third party)
    that supports equivalent copying facilities, provided you maintain
    clear directions next to the object code saying where to find the
    Corresponding Source.  Regardless of what server hosts the
    Corresponding Source, you remain obligated to ensure that it is
    available for as long as needed to satisfy these requirements.

    e) Convey the object code using peer-to-peer transmission, provided
    you inform other peers where the object code and Corresponding
    Source of the work are being offered to the general public at no
    charge under subsection 6d.

  A separable portion of the object code, whose source code is excluded
from the Corresponding Source as a System Library, need not be
included in conveying the object code work.

  A "User Product" is either (1) a "consumer product", which means any
tangible personal property which is normally used for personal, family,
or household purposes, or (2) anything designed or sold for incorporation
into a dwelling.  In determining whether a product is a consumer product,
doubtful cases shall be resolved in favor of coverage.  For a particular
product received by a particular user, "normally used" refers to a
typical or common use of that class of product, regardless of the status
of the particular user or of the way in which the particular user
actually uses, or expects or is expected to use, the product.  A product
is a consumer product regardless of whether the product has substantial
commercial, industrial or non-consumer uses, unless such uses represent
the only significant mode of use of the product.

  "Installation Information" for a User Product means any methods,
procedures, authorization keys, or other information required to install
and execute modified versions of a covered work in that User Product from
a modified version of its Corresponding Source.  The information must
suffice to ensure that the continued functioning of the modified object
code is in no case prevented or interfered with solely because
modification has been made.

  If you convey an object code work under this section in, or with, or
specifically for use in, a User Product, and the conveying occurs as
part of a transaction in which the right of possession and use of the
User Product is transferred to the recipient in perpetuity or for a
fixed term (regardless of how the transaction is characterized), the
Corresponding Source conveyed under this section must be accompanied
by the Installation Information.  But this requirement does not apply
if neither you nor any third party retains the ability to install
modified object code on the User Product (for example, the work has
been installed in ROM).

  The requirement to provide Installation Information does not include a
requirement to continue to provide support service, warranty, or updates
for a work that has been modified or installed by the recipient, or for
the User Product in which it has been modified or installed.  Access to a
network may be denied when the modification itself materially and
adversely affects the operation of the network or violates the rules and
protocols for communication across the network.

  Corresponding Source conveyed, and Installation Information provided,
in accord with this section must be in a format that is publicly
documented (and with an implementation available to the public in
source code form), and must require no special password or key for
unpacking, reading or copying.

  7. Additional Terms.

  "Additional permissions" are terms that supplement the terms of this
License by making exceptions from one or more of its conditions.
Additional permissions that are applicable to the entire Program shall
be treated as though they were included in this License, to the extent
that they are valid under applicable law.  If additional permissions
apply only to part of the Program, that part may be used separately
under those permissions, but the entire Program remains governed by
this License without regard to the additional permissions.

  When you convey a copy of a covered work, you may at your option
remove any additional permissions from that copy, or from any part of
it.  (Additional permissions may be written to require their own
removal in certain cases when you modify the work.)  You may place
additional permissions on material, added by you to a covered work,
for which you have or can give appropriate copyright permission.

  Notwithstanding any other provision of this License, for material you
add to a covered work, you may (if authorized by the copyright holders of
that material) supplement the terms of this License with terms:

    a) Disclaiming warranty or limiting liability differently from the
    terms of sections 15 and 16 of this License; or

    b) Requiring preservation of specified reasonable legal notices or
    author attributions in that material or in the Appropriate Legal
    Notices displayed by works containing it; or

    c) Prohibiting misrepresentation of the origin of that material, or
    requiring that modified versions of such material be marked in
    reasonable ways as different from the original version; or

    d) Limiting the use for publicity purposes of names of licensors or
    authors of the material; or

    e) Declining to grant rights under trademark law for use of some
    trade names, trademarks, or service marks; or

    f) Requiring indemnification of licensors and authors of that
    material by anyone who conveys the material (or modified versions of
    it) with contractual assumptions of liability to the recipient, for
    any liability that these contractual assumptions directly impose on
    those licensors and authors.

  All other non-permissive additional terms are considered "further
restrictions" within the meaning of section 10.  If the Program as you
received it, or any part of it, contains a notice stating that it is
governed by this License along with a term that is a further
restriction, you may remove that term.  If a license document contains
a further restriction but permits relicensing or conveying under this
License, you may add to a covered work material governed by the terms
of that license document, provided that the further restriction does
not survive such relicensing or conveying.

  If you add terms to a covered work in accord with this section, you
must place, in the relevant source files, a statement of the
additional terms that apply to those files, or a notice indicating
where to find the applicable terms.

  Additional terms, permissive or non-permissive, may be stated in the
form of a separately written license, or stated as exceptions;
the above requirements apply either way.

  8. Termination.

  You may not propagate or modify a covered work except as expressly
provided under this License.  Any attempt otherwise to propagate or
modify it is void, and will automatically terminate your rights under
this License (including any patent licenses granted under the third
paragraph of section 11).

  However, if you cease all violation of this License, then your
license from a particular copyright holder is reinstated (a)
provisionally, unless and until the copyright holder explicitly and
finally terminates your license, and (b) permanently, if the copyright
holder fails to notify you of the violation by some reasonable means
prior to 60 days after the cessation.

  Moreover, your license from a particular copyright holder is
reinstated permanently if the copyright holder notifies you of the
violation by some reasonable means, this is the first time you have
received notice of violation of this License (for any work) from that
copyright holder, and you cure the violation prior to 30 days after
your receipt of the notice.

  Termination of your rights under this section does not terminate the
licenses of parties who have received copies or rights from you under
this License.  If your rights have been terminated and not permanently
reinstated, you do not qualify to receive new licenses for the same
material under section 10.

  9. Acceptance Not Required for Having Copies.

  You are not required to accept this License in order to receive or
run a copy of the Program.  Ancillary propagation of a covered work
occurring solely as a consequence of using peer-to-peer transmission
to receive a copy likewise does not require acceptance.  However,
nothing other than this License grants you permission to propagate or
modify any covered work.  These actions infringe copyright if you do
not accept this License.  Therefore, by modifying or propagating a
covered work, you indicate your acceptance of this License to do so.

  10. Automatic Licensing of Downstream Recipients.

  Each time you convey a covered work, the recipient automatically
receives a license from the original licensors, to run, modify and
propagate that work, subject to this License.  You are not responsible
for enforcing compliance by third parties with this License.

  An "entity transaction" is a transaction transferring control of an
organization, or substantially all assets of one, or subdividing an
organization, or merging organizations.  If propagation of a covered
work results from an entity transaction, each party to that
transaction who receives a copy of the work also receives whatever
licenses to the work the party's predecessor in interest had or could
give under the previous paragraph, plus a right to possession of the
Corresponding Source of the work from the predecessor in interest, if
the predecessor has it or can get it with reasonable efforts.

  You may not impose any further restrictions on the exercise of the
rights granted or affirmed under this License.  For example, you may
not impose a license fee, royalty, or other charge for exercise of
rights granted under this License, and you may not initiate litigation
(including a cross-claim or counterclaim in a lawsuit) alleging that
any patent claim is infringed by making, using, selling, offering for
sale, or importing the Program or any portion of it.

  11. Patents.

  A "contributor" is a copyright holder who authorizes use under this
License of the Program or a work on which the Program is based.  The
work thus licensed is called the contributor's "contributor version".

  A contributor's "essential patent claims" are all patent claims
owned or controlled by the contributor, whether already acquired or
hereafter acquired, that would be infringed by some manner, permitted
by this License, of making, using, or selling its contributor version,
but do not include claims that would be infringed only as a
consequence of further modification of the contributor version.  For
purposes of this definition, "control" includes the right to grant
patent sublicenses in a manner consistent with the requirements of
this License.

  Each contributor grants you a non-exclusive, worldwide, royalty-free
patent license under the contributor's essential patent claims, to
make, use, sell, offer for sale, import and otherwise run, modify and
propagate the contents of its contributor version.

  In the following three paragraphs, a "patent license" is any express
agreement or commitment, however denominated, not to enforce a patent
(such as an express permission to practice a patent or covenant not to
sue for patent infringement).  To "grant" such a patent license to a
party means to make such an agreement or commitment not to enforce a
patent against the party.

  If you convey a covered work, knowingly relying on a patent license,
and the Corresponding Source of the work is not available for anyone
to copy, free of charge and under the terms of this License, through a
publicly available network server or other readily accessible means,
then you must either (1) cause the Corresponding Source to be so
available, or (2) arrange to deprive yourself of the benefit of the
patent license for this particular work, or (3) arrange, in a manner
consistent with the requirements of this License, to extend the patent
license to downstream recipients.  "Knowingly relying" means you have
actual knowledge that, but for the patent license, your conveying the
covered work in a country, or your recipient's use of the covered work
in a country, would infringe one or more identifiable patents in that
country that you have reason to believe are valid.

  If, pursuant to or in connection with a single transaction or
arrangement, you convey, or propagate by procuring conveyance of, a
covered work, and grant a patent license to some of the parties
receiving the covered work authorizing them to use, propagate, modify
or convey a specific copy of the covered work, then the patent license
you grant is automatically extended to all recipients of the covered
work and works based on it.

  A patent license is "discriminatory" if it does not include within
the scope of its coverage, prohibits the exercise of, or is
conditioned on the non-exercise of one or more of the rights that are
specifically granted under this License.  You may not convey a covered
work if you are a party to an arrangement with a third party that is
in the business of distributing software, under which you make payment
to the third party based on the extent of your activity of conveying
the work, and under which the third party grants, to any of the
parties who would receive the covered work from you, a discriminatory
patent license (a) in connection with copies of the covered work
conveyed by you (or copies made from those copies), or (b) primarily
for and in connection with specific products or compilations that
contain the covered work, unless you entered into that arrangement,
or that patent license was granted, prior to 28 March 2007.

  Nothing in this License shall be construed as excluding or limiting
any implied license or other defenses to infringement that may
otherwise be available to you under applicable patent law.

  12. No Surrender of Others' Freedom.

  If conditions are imposed on you (whether by court order, agreement or
otherwise) that contradict the conditions of this License, they do not
excuse you from the conditions of this License.  If you cannot convey a
covered work so as to satisfy simultaneously your obligations under this
License and any other pertinent obligations, then as a consequence you may
not convey it at all.  For example, if you agree to terms that obligate you
to collect a royalty for further conveying from those to whom you convey
the Program, the only way you could satisfy both those terms and this
License would be to refrain entirely from conveying the Program.

  13. Use with the GNU Affero General Public License.

  Notwithstanding any other provision of this License, you have
permission to link or combine any covered work with a work licensed
under version 3 of the GNU Affero General Public License into a single
combined work, and to convey the resulting work.  The terms of this
License will continue to apply to the part which is the covered work,
but the special requirements of the GNU Affero General Public License,
section 13, concerning interaction through a network will apply to the
combination as such.

  14. Revised Versions of this License.

  The Free Software Foundation may publish revised and/or new versions of
the GNU General Public License from time to time.  Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.

  Each version is given a distinguishing version number.  If the
Program specifies that a certain numbered version of the GNU General
Public License "or any later version" applies to it, you have the
option of following the terms and conditions either of that numbered
version or of any later version published by the Free Software
Foundation.  If the Program does not specify a version number of the
GNU General Public License, you may choose any version ever published
by the Free Software Foundation.

  If the Program specifies that a proxy can decide which future
versions of the GNU General Public License can be used, that proxy's
public statement of acceptance of a version permanently authorizes you
to choose that version for the Program.

  Later license versions may give you additional or different
permissions.  However, no additional obligations are imposed on any
author or copyright holder as a result of your choosing to follow a
later version.

  15. Disclaimer of Warranty.

  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.

  16. Limitation of Liability.

  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
SUCH DAMAGES.

  17. Interpretation of Sections 15 and 16.

  If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
an absolute waiver of all civil liability in connection with the
Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.

                     END OF TERMS AND CONDITIONS

            How to Apply These Terms to Your New Programs

  If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.

  To do so, attach the following notices to the program.  It is safest
to attach them to the start of each source file to most effectively
state the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.

    <one line to give the program's name and a brief idea of what it does.>
    Copyright (C) <year>  <name of author>

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.

Also add information on how to contact you by electronic and paper mail.

  If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:

    <program>  Copyright (C) <year>  <name of author>
    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License.  Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".

  You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<http://www.gnu.org/licenses/>.

  The GNU General Public License does not permit incorporating your program
into proprietary programs.  If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library.  If this is what you want to do, use the GNU Lesser General
Public License instead of this License.  But first, please read
<http://www.gnu.org/philosophy/why-not-lgpl.html>.

*/