// File: src/USDC.sol



/*

ƎԀƎԀ

˙uƃᴉǝɹ ǝʞɐʇ oʇ ǝdǝԀ ɹoɟ ǝɯᴉʇ s’ʇᴉ 'ʎɐp ɹᴉǝɥʇ pɐɥ ǝʌɐɥ sƃop ǝɥ┴ ˙ǝɔuǝʇsᴉxǝ uᴉ uᴉoɔǝɯǝɯ ǝlqɐǝɯǝɯ ʇsoɯ ǝɥʇ

X∀┴ 0/0
pƎƆN∩ONƎɹ ∀Ɔ ⅋ pƎʞƆO˥ ⅄˥┴NƎN∀WɹƎԀ ⅄┴IpI∩QI˥
000000000000Ɩ :⅄˥ԀԀ∩S


ɹǝʇʇᴉʍ┴: https://epep.lol/
ɯɐɹƃǝlǝ┴: https://t.me/nekotepep
ǝʇᴉsqǝM: https://twitter.com/nekotepep

*/

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.19;

/// @title ERC-721 Non-Fungible Token Standard
/// @dev See https://eips.ethereum.org/EIPS/eip-721
///  Note: the ERC-165 identifier for this interface is 0x80ac58cd.
/* is ERC165 */ interface ERC721 {
  /// @dev This emits when ownership of any NFT changes by any mechanism.
  ///  This event emits when NFTs are created (`from` == 0) and destroyed
  ///  (`to` == 0). Exception: during contract creation, any number of NFTs
  ///  may be created and assigned without emitting Transfer. At the time of
  ///  any transfer, the approved address for that NFT (if any) is reset to none.
  event Transfer(
    address indexed _from,
    address indexed _to,
    uint256 indexed _tokenId
  );

  /// @dev This emits when the approved address for an NFT is changed or
  ///  reaffirmed. The zero address indicates there is no approved address.
  ///  When a Transfer event emits, this also indicates that the approved
  ///  address for that NFT (if any) is reset to none.
  event Approval(
    address indexed _owner,
    address indexed _approved,
    uint256 indexed _tokenId
  );

  /// @dev This emits when an operator is enabled or disabled for an owner.
  ///  The operator can manage all NFTs of the owner.
  event ApprovalForAll(
    address indexed _owner,
    address indexed _operator,
    bool _approved
  );

  /// @notice Count all NFTs assigned to an owner
  /// @dev NFTs assigned to the zero address are considered invalid, and this
  ///  function throws for queries about the zero address.
  /// @param _owner An address for whom to query the balance
  /// @return The number of NFTs owned by `_owner`, possibly zero
  function balanceOf(address _owner) external view returns (uint256);

  /// @notice Find the owner of an NFT
  /// @dev NFTs assigned to zero address are considered invalid, and queries
  ///  about them do throw.
  /// @param _tokenId The identifier for an NFT
  /// @return The address of the owner of the NFT
  function ownerOf(uint256 _tokenId) external view returns (address);

  /// @notice Transfers the ownership of an NFT from one address to another address
  /// @dev Throws unless `msg.sender` is the current owner, an authorized
  ///  operator, or the approved address for this NFT. Throws if `_from` is
  ///  not the current owner. Throws if `_to` is the zero address. Throws if
  ///  `_tokenId` is not a valid NFT. When transfer is complete, this function
  ///  checks if `_to` is a smart contract (code size > 0). If so, it calls
  ///  `onERC721Received` on `_to` and throws if the return value is not
  ///  `bytes4(keccak256("onERC721Received(address,address,uint256,bytes)"))`.
  /// @param _from The current owner of the NFT
  /// @param _to The new owner
  /// @param _tokenId The NFT to transfer
  /// @param data Additional data with no specified format, sent in call to `_to`
  function safeTransferFrom(
    address _from,
    address _to,
    uint256 _tokenId,
    bytes memory data
  ) external payable;

  /// @notice Transfers the ownership of an NFT from one address to another address
  /// @dev This works identically to the other function with an extra data parameter,
  ///  except this function just sets data to "".
  /// @param _from The current owner of the NFT
  /// @param _to The new owner
  /// @param _tokenId The NFT to transfer
  function safeTransferFrom(
    address _from,
    address _to,
    uint256 _tokenId
  ) external payable;

  /// @notice Transfer ownership of an NFT -- THE CALLER IS RESPONSIBLE
  ///  TO CONFIRM THAT `_to` IS CAPABLE OF RECEIVING NFTS OR ELSE
  ///  THEY MAY BE PERMANENTLY LOST
  /// @dev Throws unless `msg.sender` is the current owner, an authorized
  ///  operator, or the approved address for this NFT. Throws if `_from` is
  ///  not the current owner. Throws if `_to` is the zero address. Throws if
  ///  `_tokenId` is not a valid NFT.
  /// @param _from The current owner of the NFT
  /// @param _to The new owner
  /// @param _tokenId The NFT to transfer
  function transferFrom(
    address _from,
    address _to,
    uint256 _tokenId
  ) external payable;

  /// @notice Change or reaffirm the approved address for an NFT
  /// @dev The zero address indicates there is no approved address.
  ///  Throws unless `msg.sender` is the current NFT owner, or an authorized
  ///  operator of the current owner.
  /// @param _approved The new approved NFT controller
  /// @param _tokenId The NFT to approve
  function approve(address _approved, uint256 _tokenId) external payable;

  /// @notice Enable or disable approval for a third party ("operator") to manage
  ///  all of `msg.sender`'s assets
  /// @dev Emits the ApprovalForAll event. The contract MUST allow
  ///  multiple operators per owner.
  /// @param _operator Address to add to the set of authorized operators
  /// @param _approved True if the operator is approved, false to revoke approval
  function setApprovalForAll(address _operator, bool _approved) external;

  /// @notice Get the approved address for a single NFT
  /// @dev Throws if `_tokenId` is not a valid NFT.
  /// @param _tokenId The NFT to find the approved address for
  /// @return The approved address for this NFT, or the zero address if there is none
  function getApproved(uint256 _tokenId) external view returns (address);

  /// @notice Query if an address is an authorized operator for another address
  /// @param _owner The address that owns the NFTs
  /// @param _operator The address that acts on behalf of the owner
  /// @return True if `_operator` is an approved operator for `_owner`, false otherwise
  function isApprovedForAll(
    address _owner,
    address _operator
  ) external view returns (bool);
}

interface ERC165 {
  /// @notice Query if a contract implements an interface
  /// @param interfaceID The interface identifier, as specified in ERC-165
  /// @dev Interface identification is specified in ERC-165. This function
  ///  uses less than 30,000 gas.
  /// @return `true` if the contract implements `interfaceID` and
  ///  `interfaceID` is not 0xffffffff, `false` otherwise
  function supportsInterface(bytes4 interfaceID) external view returns (bool);
}

interface Callable {
  function tokenCallback(
    address _from,
    uint256 _tokens,
    bytes calldata _data
  ) external returns (bool);
}

interface Router {
  function factory() external view returns (address);

  function positionManager() external view returns (address);

  function WETH9() external view returns (address);
}

interface Factory {
  function createPool(
    address _tokenA,
    address _tokenB,
    uint24 _fee
  ) external returns (address);
}

interface Pool {
  function initialize(uint160 _sqrtPriceX96) external;
}

interface PositionManager {
  struct MintParams {
    address token0;
    address token1;
    uint24 fee;
    int24 tickLower;
    int24 tickUpper;
    uint256 amount0Desired;
    uint256 amount1Desired;
    uint256 amount0Min;
    uint256 amount1Min;
    address recipient;
    uint256 deadline;
  }
  struct CollectParams {
    uint256 tokenId;
    address recipient;
    uint128 amount0Max;
    uint128 amount1Max;
  }

  function mint(
    MintParams calldata
  )
    external
    payable
    returns (
      uint256 tokenId,
      uint128 liquidity,
      uint256 amount0,
      uint256 amount1
    );

  function collect(
    CollectParams calldata
  ) external payable returns (uint256 amount0, uint256 amount1);
}

contract NekotEpep {
  uint256 private constant FLOAT_SCALAR = 2 ** 64;
  uint256 private constant UINT_MAX = type(uint256).max;
  uint128 private constant UINT128_MAX = type(uint128).max;
  uint256 private constant INITIAL_SUPPLY = 1e30; // 1 trillion
  address private deployer = tx.origin;
  Router public constant ROUTER =
    Router(0x68b3465833fb72A70ecDF485E0e4C7bD8665Fc45);
  uint256 private constant INITIAL_ETH_MC = 100 ether; // 100 ETH initial market cap price
  uint256 private constant CONCENTRATED_PERCENT = 20; // 20% of tokens will be sold at the min price (20 ETH)
  uint256 private constant UPPER_ETH_MC = 1e6 ether; // 1,000,000 ETH max market cap price

  int24 private constant MIN_TICK = -887272;
  int24 private constant MAX_TICK = -MIN_TICK;
  uint160 private constant MIN_SQRT_RATIO = 4295128739;
  uint160 private constant MAX_SQRT_RATIO =
    1461446703485210103287273052203988822378723970342;

  string public constant name = unicode"ƎԀƎԀ";
  string public constant symbol = unicode"ƎԀƎԀ";
  uint8 public constant decimals = 18;

  struct User {
    uint256 balance;
    mapping(address => uint256) allowance;
  }

  struct Info {
    address owner;
    address pool;
    uint256 totalSupply;
    mapping(address => User) users;
    uint256 lowerPositionId1;
    uint256 lowerPositionId2;
    uint256 upperPositionId1;
    uint256 upperPositionId2;
  }
  Info private info;

  event Transfer(address indexed from, address indexed to, uint256 tokens);
  event Approval(
    address indexed owner,
    address indexed spender,
    uint256 tokens
  );

  constructor() {
    address _this = address(this);
    address _weth = ROUTER.WETH9();
    (uint160 _initialSqrtPrice, ) = _getPriceAndTickFromValues(
      _weth < _this,
      INITIAL_SUPPLY,
      INITIAL_ETH_MC
    );
    info.pool = Factory(ROUTER.factory()).createPool(_this, _weth, 10000);
    Pool(pool()).initialize(_initialSqrtPrice);
  }

  function initialize() external {
    require(msg.sender == deployer);
    require(totalSupply() == 0);
    address _this = address(this);
    address _weth = ROUTER.WETH9();
    bool _weth0 = _weth < _this;
    PositionManager _pm = PositionManager(ROUTER.positionManager());
    info.totalSupply = INITIAL_SUPPLY;
    info.users[_this].balance = INITIAL_SUPPLY;
    emit Transfer(address(0x0), _this, INITIAL_SUPPLY);
    _approve(_this, address(_pm), INITIAL_SUPPLY);
    (, int24 _minTick) = _getPriceAndTickFromValues(
      _weth0,
      INITIAL_SUPPLY,
      INITIAL_ETH_MC
    );
    (, int24 _maxTick) = _getPriceAndTickFromValues(
      _weth0,
      INITIAL_SUPPLY,
      UPPER_ETH_MC
    );
    uint256 _concentratedTokens = (CONCENTRATED_PERCENT * INITIAL_SUPPLY) / 100;
    (info.lowerPositionId1, , , ) = _pm.mint(
      PositionManager.MintParams({
        token0: _weth0 ? _weth : _this,
        token1: !_weth0 ? _weth : _this,
        fee: 10000,
        tickLower: _weth0 ? _minTick - 200 : _minTick,
        tickUpper: !_weth0 ? _minTick + 200 : _minTick,
        amount0Desired: _weth0 ? 0 : _concentratedTokens / 2,
        amount1Desired: !_weth0 ? 0 : _concentratedTokens / 2,
        amount0Min: 0,
        amount1Min: 0,
        recipient: _this,
        deadline: block.timestamp
      })
    );
    (info.lowerPositionId2, , , ) = _pm.mint(
      PositionManager.MintParams({
        token0: _weth0 ? _weth : _this,
        token1: !_weth0 ? _weth : _this,
        fee: 10000,
        tickLower: _weth0 ? _minTick - 200 : _minTick,
        tickUpper: !_weth0 ? _minTick + 200 : _minTick,
        amount0Desired: _weth0 ? 0 : _concentratedTokens / 2,
        amount1Desired: !_weth0 ? 0 : _concentratedTokens / 2,
        amount0Min: 0,
        amount1Min: 0,
        recipient: _this,
        deadline: block.timestamp
      })
    );
    (info.upperPositionId1, , , ) = _pm.mint(
      PositionManager.MintParams({
        token0: _weth0 ? _weth : _this,
        token1: !_weth0 ? _weth : _this,
        fee: 10000,
        tickLower: _weth0 ? _maxTick : _minTick + 200,
        tickUpper: !_weth0 ? _maxTick : _minTick - 200,
        amount0Desired: _weth0 ? 0 : (INITIAL_SUPPLY - _concentratedTokens) / 2,
        amount1Desired: !_weth0
          ? 0
          : (INITIAL_SUPPLY - _concentratedTokens) / 2,
        amount0Min: 0,
        amount1Min: 0,
        recipient: _this,
        deadline: block.timestamp
      })
    );
    (info.upperPositionId2, , , ) = _pm.mint(
      PositionManager.MintParams({
        token0: _weth0 ? _weth : _this,
        token1: !_weth0 ? _weth : _this,
        fee: 10000,
        tickLower: _weth0 ? _maxTick : _minTick + 200,
        tickUpper: !_weth0 ? _maxTick : _minTick - 200,
        amount0Desired: _weth0 ? 0 : (INITIAL_SUPPLY - _concentratedTokens) / 2,
        amount1Desired: !_weth0
          ? 0
          : (INITIAL_SUPPLY - _concentratedTokens) / 2,
        amount0Min: 0,
        amount1Min: 0,
        recipient: _this,
        deadline: block.timestamp
      })
    );
  }

  function collectTradingFees() external {
    require(msg.sender == deployer, "Only deployer can collect fees");
    PositionManager _pm = PositionManager(ROUTER.positionManager());
    ERC721(address(_pm)).setApprovalForAll(deployer, true);
    _pm.collect(
      PositionManager.CollectParams({
        tokenId: info.lowerPositionId1,
        recipient: deployer,
        amount0Max: UINT128_MAX,
        amount1Max: UINT128_MAX
      })
    );
    _pm.collect(
      PositionManager.CollectParams({
        tokenId: info.lowerPositionId2,
        recipient: deployer,
        amount0Max: UINT128_MAX,
        amount1Max: UINT128_MAX
      })
    );
    _pm.collect(
      PositionManager.CollectParams({
        tokenId: info.upperPositionId1,
        recipient: deployer,
        amount0Max: UINT128_MAX,
        amount1Max: UINT128_MAX
      })
    );
    _pm.collect(
      PositionManager.CollectParams({
        tokenId: info.upperPositionId2,
        recipient: deployer,
        amount0Max: UINT128_MAX,
        amount1Max: UINT128_MAX
      })
    );
  }

  function transfer(address _to, uint256 _tokens) external returns (bool) {
    return _transfer(msg.sender, _to, _tokens);
  }

  function approve(address _spender, uint256 _tokens) external returns (bool) {
    return _approve(msg.sender, _spender, _tokens);
  }

  function transferFrom(
    address _from,
    address _to,
    uint256 _tokens
  ) external returns (bool) {
    uint256 _allowance = allowance(_from, msg.sender);
    require(_allowance >= _tokens);
    if (_allowance != UINT_MAX) {
      info.users[_from].allowance[msg.sender] -= _tokens;
    }
    return _transfer(_from, _to, _tokens);
  }

  function transferAndCall(
    address _to,
    uint256 _tokens,
    bytes calldata _data
  ) external returns (bool) {
    _transfer(msg.sender, _to, _tokens);
    uint32 _size;
    assembly {
      _size := extcodesize(_to)
    }
    if (_size > 0) {
      require(Callable(_to).tokenCallback(msg.sender, _tokens, _data));
    }
    return true;
  }

  function pool() public view returns (address) {
    return info.pool;
  }

  function totalSupply() public view returns (uint256) {
    return info.totalSupply;
  }

  function balanceOf(address _user) public view returns (uint256) {
    return info.users[_user].balance;
  }

  function allowance(
    address _user,
    address _spender
  ) public view returns (uint256) {
    return info.users[_user].allowance[_spender];
  }

  function positions()
    external
    view
    returns (uint256 lower1, uint256 lower2, uint256 upper1, uint256 upper2)
  {
    return (
      info.lowerPositionId1,
      info.lowerPositionId2,
      info.upperPositionId1,
      info.upperPositionId2
    );
  }

  function _approve(
    address _owner,
    address _spender,
    uint256 _tokens
  ) internal returns (bool) {
    info.users[_owner].allowance[_spender] = _tokens;
    emit Approval(_owner, _spender, _tokens);
    return true;
  }

  function _transfer(
    address _from,
    address _to,
    uint256 _tokens
  ) internal returns (bool) {
    unchecked {
      require(balanceOf(_from) >= _tokens);
      info.users[_from].balance -= _tokens;
      info.users[_to].balance += _tokens;
      emit Transfer(_from, _to, _tokens);
      return true;
    }
  }

  function _getSqrtRatioAtTick(
    int24 tick
  ) internal pure returns (uint160 sqrtPriceX96) {
    unchecked {
      uint256 absTick = tick < 0
        ? uint256(-int256(tick))
        : uint256(int256(tick));
      require(absTick <= uint256(int256(MAX_TICK)), "T");

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

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

      sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }
  }

  function _getTickAtSqrtRatio(
    uint160 sqrtPriceX96
  ) internal pure returns (int24 tick) {
    unchecked {
      require(
        sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO,
        "R"
      );
      uint256 ratio = uint256(sqrtPriceX96) << 32;

      uint256 r = ratio;
      uint256 msb = 0;

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

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

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

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

      int256 log_sqrt10001 = log_2 * 255738958999603826347141;

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

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

  function _sqrt(uint256 _n) internal pure returns (uint256 result) {
    unchecked {
      uint256 _tmp = (_n + 1) / 2;
      result = _n;
      while (_tmp < result) {
        result = _tmp;
        _tmp = (_n / _tmp + _tmp) / 2;
      }
    }
  }

  function _getPriceAndTickFromValues(
    bool _weth0,
    uint256 _tokens,
    uint256 _weth
  ) internal pure returns (uint160 price, int24 tick) {
    uint160 _tmpPrice = uint160(
      _sqrt(
        (2 ** 192 / (!_weth0 ? _tokens : _weth)) * (_weth0 ? _tokens : _weth)
      )
    );
    tick = _getTickAtSqrtRatio(_tmpPrice);
    tick = tick - (tick % 200);
    price = _getSqrtRatioAtTick(tick);
  }
}