ETH Price: $2,158.23 (+0.80%)

Transaction Decoder

Block:
16220975 at Dec-19-2022 07:56:35 PM +UTC
Transaction Fee:
0.002249719695614795 ETH $4.86
Gas Used:
146,249 Gas / 15.382803955 Gwei

Emitted Events:

91 Vyper_contract.Transfer( sender=[Sender] 0xc28693cf42969535f7e28154242f8f0f1f0497ed, receiver=0x0000000000000000000000000000000000000000, value=8037205549403512247 )
92 StaxLP.Transfer( from=[Receiver] Vyper_contract, to=[Sender] 0xc28693cf42969535f7e28154242f8f0f1f0497ed, value=5823295790000000000 )
93 TempleUniswapV2Pair.Transfer( from=[Receiver] Vyper_contract, to=[Sender] 0xc28693cf42969535f7e28154242f8f0f1f0497ed, value=2240967770000000000 )
94 Vyper_contract.RemoveLiquidityImbalance( provider=[Sender] 0xc28693cf42969535f7e28154242f8f0f1f0497ed, token_amounts=[5823295790000000000, 2240967770000000000], fees=[5160820, 4993763], invariant=2790118899493839014234558, token_supply=2789045748017219542600791 )

Account State Difference:

  Address   Before After State Difference Code
0x6021444f...7cC17Fc03
0xBcB8b7FC...b5a30dCD9
0xc28693Cf...f1f0497ed
0.023578181120895008 Eth
Nonce: 242
0.021328461425280213 Eth
Nonce: 243
0.002249719695614795
0xdaDfD00A...e1B653228
(Flashbots: Builder)
1.236803874247077746 Eth1.237169496747077746 Eth0.0003656225

Execution Trace

Vyper_contract.remove_liquidity_imbalance( _amounts=[5823295790000000000, 2240967770000000000], _max_burn_amount=8077391577150529807 ) => ( 8037205549403512247 )
  • Vyper_contract.remove_liquidity_imbalance( _amounts=[5823295790000000000, 2240967770000000000], _max_burn_amount=8077391577150529807 ) => ( 8037205549403512247 )
    • StaxLP.transfer( to=0xc28693Cf42969535f7e28154242f8F0f1f0497ed, amount=5823295790000000000 ) => ( True )
    • TempleUniswapV2Pair.transfer( to=0xc28693Cf42969535f7e28154242f8F0f1f0497ed, value=2240967770000000000 ) => ( True )
      File 1 of 4: Vyper_contract
      # @version 0.2.15
      """
      @title StableSwap
      @author Curve.Fi
      @license Copyright (c) Curve.Fi, 2020-2021 - all rights reserved
      @notice 2 coin pool implementation with no lending
      @dev Optimized to only support ERC20's with 18 decimals that return True/revert
      """
      
      from vyper.interfaces import ERC20
      
      interface Factory:
          def convert_fees() -> bool: nonpayable
          def get_fee_receiver(_pool: address) -> address: view
          def admin() -> address: view
      
      
      event Transfer:
          sender: indexed(address)
          receiver: indexed(address)
          value: uint256
      
      event Approval:
          owner: indexed(address)
          spender: indexed(address)
          value: uint256
      
      event TokenExchange:
          buyer: indexed(address)
          sold_id: int128
          tokens_sold: uint256
          bought_id: int128
          tokens_bought: uint256
      
      event AddLiquidity:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          invariant: uint256
          token_supply: uint256
      
      event RemoveLiquidity:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          token_supply: uint256
      
      event RemoveLiquidityOne:
          provider: indexed(address)
          token_amount: uint256
          coin_amount: uint256
          token_supply: uint256
      
      event RemoveLiquidityImbalance:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          invariant: uint256
          token_supply: uint256
      
      event RampA:
          old_A: uint256
          new_A: uint256
          initial_time: uint256
          future_time: uint256
      
      event StopRampA:
          A: uint256
          t: uint256
      
      
      N_COINS: constant(int128) = 2
      PRECISION: constant(int128) = 10 ** 18
      
      FEE_DENOMINATOR: constant(uint256) = 10 ** 10
      ADMIN_FEE: constant(uint256) = 5000000000
      
      A_PRECISION: constant(uint256) = 100
      MAX_A: constant(uint256) = 10 ** 6
      MAX_A_CHANGE: constant(uint256) = 10
      MIN_RAMP_TIME: constant(uint256) = 86400
      
      factory: address
      
      coins: public(address[N_COINS])
      balances: public(uint256[N_COINS])
      fee: public(uint256)  # fee * 1e10
      
      initial_A: public(uint256)
      future_A: public(uint256)
      initial_A_time: public(uint256)
      future_A_time: public(uint256)
      
      name: public(String[64])
      symbol: public(String[32])
      
      balanceOf: public(HashMap[address, uint256])
      allowance: public(HashMap[address, HashMap[address, uint256]])
      totalSupply: public(uint256)
      
      
      @external
      def __init__():
          # we do this to prevent the implementation contract from being used as a pool
          self.fee = 31337
      
      
      @external
      def initialize(
          _name: String[32],
          _symbol: String[10],
          _coins: address[4],
          _rate_multipliers: uint256[4],
          _A: uint256,
          _fee: uint256,
      ):
          """
          @notice Contract constructor
          @param _name Name of the new pool
          @param _symbol Token symbol
          @param _coins List of all ERC20 conract addresses of coins
          @param _rate_multipliers List of number of decimals in coins
          @param _A Amplification coefficient multiplied by n ** (n - 1)
          @param _fee Fee to charge for exchanges
          """
          # check if fee was already set to prevent initializing contract twice
          assert self.fee == 0
      
          for i in range(N_COINS):
              coin: address = _coins[i]
              if coin == ZERO_ADDRESS:
                  break
              self.coins[i] = coin
              assert _rate_multipliers[i] == PRECISION
      
          A: uint256 = _A * A_PRECISION
          self.initial_A = A
          self.future_A = A
          self.fee = _fee
          self.factory = msg.sender
      
          self.name = concat("Curve.fi Factory Plain Pool: ", _name)
          self.symbol = concat(_symbol, "-f")
      
          # fire a transfer event so block explorers identify the contract as an ERC20
          log Transfer(ZERO_ADDRESS, self, 0)
      
      
      ### ERC20 Functionality ###
      
      @view
      @external
      def decimals() -> uint256:
          """
          @notice Get the number of decimals for this token
          @dev Implemented as a view method to reduce gas costs
          @return uint256 decimal places
          """
          return 18
      
      
      @internal
      def _transfer(_from: address, _to: address, _value: uint256):
          # # NOTE: vyper does not allow underflows
          # #       so the following subtraction would revert on insufficient balance
          self.balanceOf[_from] -= _value
          self.balanceOf[_to] += _value
      
          log Transfer(_from, _to, _value)
      
      
      @external
      def transfer(_to : address, _value : uint256) -> bool:
          """
          @dev Transfer token for a specified address
          @param _to The address to transfer to.
          @param _value The amount to be transferred.
          """
          self._transfer(msg.sender, _to, _value)
          return True
      
      
      @external
      def transferFrom(_from : address, _to : address, _value : uint256) -> bool:
          """
           @dev Transfer tokens from one address to another.
           @param _from address The address which you want to send tokens from
           @param _to address The address which you want to transfer to
           @param _value uint256 the amount of tokens to be transferred
          """
          self._transfer(_from, _to, _value)
      
          _allowance: uint256 = self.allowance[_from][msg.sender]
          if _allowance != MAX_UINT256:
              self.allowance[_from][msg.sender] = _allowance - _value
      
          return True
      
      
      @external
      def approve(_spender : address, _value : uint256) -> bool:
          """
          @notice Approve the passed address to transfer the specified amount of
                  tokens on behalf of msg.sender
          @dev Beware that changing an allowance via this method brings the risk that
               someone may use both the old and new allowance by unfortunate transaction
               ordering: https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
          @param _spender The address which will transfer the funds
          @param _value The amount of tokens that may be transferred
          @return bool success
          """
          self.allowance[msg.sender][_spender] = _value
      
          log Approval(msg.sender, _spender, _value)
          return True
      
      
      ### StableSwap Functionality ###
      
      @view
      @external
      def get_balances() -> uint256[N_COINS]:
          return self.balances
      
      
      @view
      @internal
      def _A() -> uint256:
          """
          Handle ramping A up or down
          """
          t1: uint256 = self.future_A_time
          A1: uint256 = self.future_A
      
          if block.timestamp < t1:
              A0: uint256 = self.initial_A
              t0: uint256 = self.initial_A_time
              # Expressions in uint256 cannot have negative numbers, thus "if"
              if A1 > A0:
                  return A0 + (A1 - A0) * (block.timestamp - t0) / (t1 - t0)
              else:
                  return A0 - (A0 - A1) * (block.timestamp - t0) / (t1 - t0)
      
          else:  # when t1 == 0 or block.timestamp >= t1
              return A1
      
      
      @view
      @external
      def admin_fee() -> uint256:
          return ADMIN_FEE
      
      
      @view
      @external
      def A() -> uint256:
          return self._A() / A_PRECISION
      
      
      @view
      @external
      def A_precise() -> uint256:
          return self._A()
      
      
      @pure
      @internal
      def get_D(_xp: uint256[N_COINS], _amp: uint256) -> uint256:
          """
          D invariant calculation in non-overflowing integer operations
          iteratively
      
          A * sum(x_i) * n**n + D = A * D * n**n + D**(n+1) / (n**n * prod(x_i))
      
          Converging solution:
          D[j+1] = (A * n**n * sum(x_i) - D[j]**(n+1) / (n**n prod(x_i))) / (A * n**n - 1)
          """
          S: uint256 = 0
          for x in _xp:
              S += x
          if S == 0:
              return 0
      
          D: uint256 = S
          Ann: uint256 = _amp * N_COINS
          for i in range(255):
              D_P: uint256 = D * D / _xp[0] * D / _xp[1] / (N_COINS)**2
              Dprev: uint256 = D
              D = (Ann * S / A_PRECISION + D_P * N_COINS) * D / ((Ann - A_PRECISION) * D / A_PRECISION + (N_COINS + 1) * D_P)
              # Equality with the precision of 1
              if D > Dprev:
                  if D - Dprev <= 1:
                      return D
              else:
                  if Dprev - D <= 1:
                      return D
          # convergence typically occurs in 4 rounds or less, this should be unreachable!
          # if it does happen the pool is borked and LPs can withdraw via `remove_liquidity`
          raise
      
      
      @view
      @external
      def get_virtual_price() -> uint256:
          """
          @notice The current virtual price of the pool LP token
          @dev Useful for calculating profits
          @return LP token virtual price normalized to 1e18
          """
          amp: uint256 = self._A()
          D: uint256 = self.get_D(self.balances, amp)
          # D is in the units similar to DAI (e.g. converted to precision 1e18)
          # When balanced, D = n * x_u - total virtual value of the portfolio
          return D * PRECISION / self.totalSupply
      
      
      @view
      @external
      def calc_token_amount(_amounts: uint256[N_COINS], _is_deposit: bool) -> uint256:
          """
          @notice Calculate addition or reduction in token supply from a deposit or withdrawal
          @dev This calculation accounts for slippage, but not fees.
               Needed to prevent front-running, not for precise calculations!
          @param _amounts Amount of each coin being deposited
          @param _is_deposit set True for deposits, False for withdrawals
          @return Expected amount of LP tokens received
          """
          amp: uint256 = self._A()
          balances: uint256[N_COINS] = self.balances
      
          D0: uint256 = self.get_D(balances, amp)
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if _is_deposit:
                  balances[i] += amount
              else:
                  balances[i] -= amount
          D1: uint256 = self.get_D(balances, amp)
          diff: uint256 = 0
          if _is_deposit:
              diff = D1 - D0
          else:
              diff = D0 - D1
          return diff * self.totalSupply / D0
      
      
      @external
      @nonreentrant('lock')
      def add_liquidity(
          _amounts: uint256[N_COINS],
          _min_mint_amount: uint256,
          _receiver: address = msg.sender
      ) -> uint256:
          """
          @notice Deposit coins into the pool
          @param _amounts List of amounts of coins to deposit
          @param _min_mint_amount Minimum amount of LP tokens to mint from the deposit
          @param _receiver Address that owns the minted LP tokens
          @return Amount of LP tokens received by depositing
          """
          amp: uint256 = self._A()
          old_balances: uint256[N_COINS] = self.balances
      
          # Initial invariant
          D0: uint256 = self.get_D(old_balances, amp)
      
          total_supply: uint256 = self.totalSupply
          new_balances: uint256[N_COINS] = old_balances
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if total_supply == 0:
                  assert amount > 0  # dev: initial deposit requires all coins
              new_balances[i] += amount
      
          # Invariant after change
          D1: uint256 = self.get_D(new_balances, amp)
          assert D1 > D0
      
          # We need to recalculate the invariant accounting for fees
          # to calculate fair user's share
          fees: uint256[N_COINS] = empty(uint256[N_COINS])
          mint_amount: uint256 = 0
          if total_supply > 0:
              # Only account for fees if we are not the first to deposit
              base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
              for i in range(N_COINS):
                  ideal_balance: uint256 = D1 * old_balances[i] / D0
                  difference: uint256 = 0
                  new_balance: uint256 = new_balances[i]
                  if ideal_balance > new_balance:
                      difference = ideal_balance - new_balance
                  else:
                      difference = new_balance - ideal_balance
                  fees[i] = base_fee * difference / FEE_DENOMINATOR
                  self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR)
                  new_balances[i] -= fees[i]
              D2: uint256 = self.get_D(new_balances, amp)
              mint_amount = total_supply * (D2 - D0) / D0
          else:
              self.balances = new_balances
              mint_amount = D1  # Take the dust if there was any
      
          assert mint_amount >= _min_mint_amount, "Slippage screwed you"
      
          # Take coins from the sender
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if amount > 0:
                  assert ERC20(self.coins[i]).transferFrom(msg.sender, self, amount)
      
          # Mint pool tokens
          total_supply += mint_amount
          self.balanceOf[_receiver] += mint_amount
          self.totalSupply = total_supply
          log Transfer(ZERO_ADDRESS, _receiver, mint_amount)
      
          log AddLiquidity(msg.sender, _amounts, fees, D1, total_supply)
      
          return mint_amount
      
      
      @view
      @internal
      def get_y(i: int128, j: int128, x: uint256, xp: uint256[N_COINS]) -> uint256:
          """
          Calculate x[j] if one makes x[i] = x
      
          Done by solving quadratic equation iteratively.
          x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
          x_1**2 + b*x_1 = c
      
          x_1 = (x_1**2 + c) / (2*x_1 + b)
          """
          # x in the input is converted to the same price/precision
      
          assert i != j       # dev: same coin
          assert j >= 0       # dev: j below zero
          assert j < N_COINS  # dev: j above N_COINS
      
          # should be unreachable, but good for safety
          assert i >= 0
          assert i < N_COINS
      
          amp: uint256 = self._A()
          D: uint256 = self.get_D(xp, amp)
          S_: uint256 = 0
          _x: uint256 = 0
          y_prev: uint256 = 0
          c: uint256 = D
          Ann: uint256 = amp * N_COINS
      
          for _i in range(N_COINS):
              if _i == i:
                  _x = x
              elif _i != j:
                  _x = xp[_i]
              else:
                  continue
              S_ += _x
              c = c * D / (_x * N_COINS)
      
          c = c * D * A_PRECISION / (Ann * N_COINS)
          b: uint256 = S_ + D * A_PRECISION / Ann  # - D
          y: uint256 = D
      
          for _i in range(255):
              y_prev = y
              y = (y*y + c) / (2 * y + b - D)
              # Equality with the precision of 1
              if y > y_prev:
                  if y - y_prev <= 1:
                      return y
              else:
                  if y_prev - y <= 1:
                      return y
          raise
      
      
      @view
      @external
      def get_dy(i: int128, j: int128, dx: uint256) -> uint256:
          """
          @notice Calculate the current output dy given input dx
          @dev Index values can be found via the `coins` public getter method
          @param i Index value for the coin to send
          @param j Index valie of the coin to recieve
          @param dx Amount of `i` being exchanged
          @return Amount of `j` predicted
          """
          xp: uint256[N_COINS] = self.balances
      
          x: uint256 = xp[i] + dx
          y: uint256 = self.get_y(i, j, x, xp)
          dy: uint256 = xp[j] - y - 1
          fee: uint256 = self.fee * dy / FEE_DENOMINATOR
          return dy - fee
      
      
      @external
      @nonreentrant('lock')
      def exchange(
          i: int128,
          j: int128,
          _dx: uint256,
          _min_dy: uint256,
          _receiver: address = msg.sender,
      ) -> uint256:
          """
          @notice Perform an exchange between two coins
          @dev Index values can be found via the `coins` public getter method
          @param i Index value for the coin to send
          @param j Index valie of the coin to recieve
          @param _dx Amount of `i` being exchanged
          @param _min_dy Minimum amount of `j` to receive
          @return Actual amount of `j` received
          """
          old_balances: uint256[N_COINS] = self.balances
      
          x: uint256 = old_balances[i] + _dx
          y: uint256 = self.get_y(i, j, x, old_balances)
      
          dy: uint256 = old_balances[j] - y - 1  # -1 just in case there were some rounding errors
          dy_fee: uint256 = dy * self.fee / FEE_DENOMINATOR
      
          # Convert all to real units
          dy -= dy_fee
          assert dy >= _min_dy, "Exchange resulted in fewer coins than expected"
      
          dy_admin_fee: uint256 = dy_fee * ADMIN_FEE / FEE_DENOMINATOR
      
          # Change balances exactly in same way as we change actual ERC20 coin amounts
          self.balances[i] = old_balances[i] + _dx
          # When rounding errors happen, we undercharge admin fee in favor of LP
          self.balances[j] = old_balances[j] - dy - dy_admin_fee
      
          assert ERC20(self.coins[i]).transferFrom(msg.sender, self, _dx)
          assert ERC20(self.coins[j]).transfer(_receiver, dy)
      
          log TokenExchange(msg.sender, i, _dx, j, dy)
      
          return dy
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity(
          _burn_amount: uint256,
          _min_amounts: uint256[N_COINS],
          _receiver: address = msg.sender
      ) -> uint256[N_COINS]:
          """
          @notice Withdraw coins from the pool
          @dev Withdrawal amounts are based on current deposit ratios
          @param _burn_amount Quantity of LP tokens to burn in the withdrawal
          @param _min_amounts Minimum amounts of underlying coins to receive
          @param _receiver Address that receives the withdrawn coins
          @return List of amounts of coins that were withdrawn
          """
          total_supply: uint256 = self.totalSupply
          amounts: uint256[N_COINS] = empty(uint256[N_COINS])
      
          for i in range(N_COINS):
              old_balance: uint256 = self.balances[i]
              value: uint256 = old_balance * _burn_amount / total_supply
              assert value >= _min_amounts[i], "Withdrawal resulted in fewer coins than expected"
              self.balances[i] = old_balance - value
              amounts[i] = value
              assert ERC20(self.coins[i]).transfer(_receiver, value)
      
          total_supply -= _burn_amount
          self.balanceOf[msg.sender] -= _burn_amount
          self.totalSupply = total_supply
          log Transfer(msg.sender, ZERO_ADDRESS, _burn_amount)
      
          log RemoveLiquidity(msg.sender, amounts, empty(uint256[N_COINS]), total_supply)
      
          return amounts
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity_imbalance(
          _amounts: uint256[N_COINS],
          _max_burn_amount: uint256,
          _receiver: address = msg.sender
      ) -> uint256:
          """
          @notice Withdraw coins from the pool in an imbalanced amount
          @param _amounts List of amounts of underlying coins to withdraw
          @param _max_burn_amount Maximum amount of LP token to burn in the withdrawal
          @param _receiver Address that receives the withdrawn coins
          @return Actual amount of the LP token burned in the withdrawal
          """
          amp: uint256 = self._A()
          old_balances: uint256[N_COINS] = self.balances
          D0: uint256 = self.get_D(old_balances, amp)
      
          new_balances: uint256[N_COINS] = old_balances
          for i in range(N_COINS):
              new_balances[i] -= _amounts[i]
          D1: uint256 = self.get_D(new_balances, amp)
      
          fees: uint256[N_COINS] = empty(uint256[N_COINS])
          base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
          for i in range(N_COINS):
              ideal_balance: uint256 = D1 * old_balances[i] / D0
              difference: uint256 = 0
              new_balance: uint256 = new_balances[i]
              if ideal_balance > new_balance:
                  difference = ideal_balance - new_balance
              else:
                  difference = new_balance - ideal_balance
              fees[i] = base_fee * difference / FEE_DENOMINATOR
              self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR)
              new_balances[i] -= fees[i]
          D2: uint256 = self.get_D(new_balances, amp)
      
          total_supply: uint256 = self.totalSupply
          burn_amount: uint256 = ((D0 - D2) * total_supply / D0) + 1
          assert burn_amount > 1  # dev: zero tokens burned
          assert burn_amount <= _max_burn_amount, "Slippage screwed you"
      
          total_supply -= burn_amount
          self.totalSupply = total_supply
          self.balanceOf[msg.sender] -= burn_amount
          log Transfer(msg.sender, ZERO_ADDRESS, burn_amount)
      
          for i in range(N_COINS):
              if _amounts[i] != 0:
                  assert ERC20(self.coins[i]).transfer(_receiver, _amounts[i])
      
          log RemoveLiquidityImbalance(msg.sender, _amounts, fees, D1, total_supply)
      
          return burn_amount
      
      
      @pure
      @internal
      def get_y_D(A: uint256, i: int128, xp: uint256[N_COINS], D: uint256) -> uint256:
          """
          Calculate x[i] if one reduces D from being calculated for xp to D
      
          Done by solving quadratic equation iteratively.
          x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
          x_1**2 + b*x_1 = c
      
          x_1 = (x_1**2 + c) / (2*x_1 + b)
          """
          # x in the input is converted to the same price/precision
      
          assert i >= 0  # dev: i below zero
          assert i < N_COINS  # dev: i above N_COINS
      
          S_: uint256 = 0
          _x: uint256 = 0
          y_prev: uint256 = 0
          c: uint256 = D
          Ann: uint256 = A * N_COINS
      
          for _i in range(N_COINS):
              if _i != i:
                  _x = xp[_i]
              else:
                  continue
              S_ += _x
              c = c * D / (_x * N_COINS)
      
          c = c * D * A_PRECISION / (Ann * N_COINS)
          b: uint256 = S_ + D * A_PRECISION / Ann
          y: uint256 = D
      
          for _i in range(255):
              y_prev = y
              y = (y*y + c) / (2 * y + b - D)
              # Equality with the precision of 1
              if y > y_prev:
                  if y - y_prev <= 1:
                      return y
              else:
                  if y_prev - y <= 1:
                      return y
          raise
      
      
      @view
      @internal
      def _calc_withdraw_one_coin(_burn_amount: uint256, i: int128) -> uint256[2]:
          # First, need to calculate
          # * Get current D
          # * Solve Eqn against y_i for D - _token_amount
          amp: uint256 = self._A()
          balances: uint256[N_COINS] = self.balances
          D0: uint256 = self.get_D(balances, amp)
      
          total_supply: uint256 = self.totalSupply
          D1: uint256 = D0 - _burn_amount * D0 / total_supply
          new_y: uint256 = self.get_y_D(amp, i, balances, D1)
      
          base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
          xp_reduced: uint256[N_COINS] = empty(uint256[N_COINS])
      
          for j in range(N_COINS):
              dx_expected: uint256 = 0
              xp_j: uint256 = balances[j]
              if j == i:
                  dx_expected = xp_j * D1 / D0 - new_y
              else:
                  dx_expected = xp_j - xp_j * D1 / D0
              xp_reduced[j] = xp_j - base_fee * dx_expected / FEE_DENOMINATOR
      
          dy: uint256 = xp_reduced[i] - self.get_y_D(amp, i, xp_reduced, D1)
          dy_0: uint256 = (balances[i] - new_y)  # w/o fees
          dy = (dy - 1)  # Withdraw less to account for rounding errors
      
          return [dy, dy_0 - dy]
      
      
      @view
      @external
      def calc_withdraw_one_coin(_burn_amount: uint256, i: int128, _previous: bool = False) -> uint256:
          """
          @notice Calculate the amount received when withdrawing a single coin
          @param _burn_amount Amount of LP tokens to burn in the withdrawal
          @param i Index value of the coin to withdraw
          @return Amount of coin received
          """
          return self._calc_withdraw_one_coin(_burn_amount, i)[0]
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity_one_coin(
          _burn_amount: uint256,
          i: int128,
          _min_received: uint256,
          _receiver: address = msg.sender,
      ) -> uint256:
          """
          @notice Withdraw a single coin from the pool
          @param _burn_amount Amount of LP tokens to burn in the withdrawal
          @param i Index value of the coin to withdraw
          @param _min_received Minimum amount of coin to receive
          @param _receiver Address that receives the withdrawn coins
          @return Amount of coin received
          """
          dy: uint256[2] = self._calc_withdraw_one_coin(_burn_amount, i)
          assert dy[0] >= _min_received, "Not enough coins removed"
      
          self.balances[i] -= (dy[0] + dy[1] * ADMIN_FEE / FEE_DENOMINATOR)
          total_supply: uint256 = self.totalSupply - _burn_amount
          self.totalSupply = total_supply
          self.balanceOf[msg.sender] -= _burn_amount
          log Transfer(msg.sender, ZERO_ADDRESS, _burn_amount)
      
          assert ERC20(self.coins[i]).transfer(_receiver, dy[0])
      
          log RemoveLiquidityOne(msg.sender, _burn_amount, dy[0], total_supply)
      
          return dy[0]
      
      
      @external
      def ramp_A(_future_A: uint256, _future_time: uint256):
          assert msg.sender == Factory(self.factory).admin()  # dev: only owner
          assert block.timestamp >= self.initial_A_time + MIN_RAMP_TIME
          assert _future_time >= block.timestamp + MIN_RAMP_TIME  # dev: insufficient time
      
          _initial_A: uint256 = self._A()
          _future_A_p: uint256 = _future_A * A_PRECISION
      
          assert _future_A > 0 and _future_A < MAX_A
          if _future_A_p < _initial_A:
              assert _future_A_p * MAX_A_CHANGE >= _initial_A
          else:
              assert _future_A_p <= _initial_A * MAX_A_CHANGE
      
          self.initial_A = _initial_A
          self.future_A = _future_A_p
          self.initial_A_time = block.timestamp
          self.future_A_time = _future_time
      
          log RampA(_initial_A, _future_A_p, block.timestamp, _future_time)
      
      
      @external
      def stop_ramp_A():
          assert msg.sender == Factory(self.factory).admin()  # dev: only owner
      
          current_A: uint256 = self._A()
          self.initial_A = current_A
          self.future_A = current_A
          self.initial_A_time = block.timestamp
          self.future_A_time = block.timestamp
          # now (block.timestamp < t1) is always False, so we return saved A
      
          log StopRampA(current_A, block.timestamp)
      
      
      @view
      @external
      def admin_balances(i: uint256) -> uint256:
          return ERC20(self.coins[i]).balanceOf(self) - self.balances[i]
      
      
      @external
      def withdraw_admin_fees():
          receiver: address = Factory(self.factory).get_fee_receiver(self)
      
          for i in range(N_COINS):
              coin: address = self.coins[i]
              fees: uint256 = ERC20(coin).balanceOf(self) - self.balances[i]
              ERC20(coin).transfer(receiver, fees)

      File 2 of 4: StaxLP
      pragma solidity ^0.8.4;
      // SPDX-License-Identifier: AGPL-3.0-or-later
      import "@openzeppelin/contracts/access/Ownable.sol";
      import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
      import "@openzeppelin/contracts/access/AccessControl.sol";
      contract StaxLP is Ownable, ERC20, AccessControl {
          bytes32 public constant CAN_MINT = keccak256("CAN_MINT");
          constructor(string memory _name, string memory _symbol) ERC20(_name, _symbol) {
              _setupRole(DEFAULT_ADMIN_ROLE, owner());
          }
          function mint(address _to, uint256 _amount) external {
            require(hasRole(CAN_MINT, msg.sender), "Caller cannot mint");
            _mint(_to, _amount);
          }
          function burn(address _account, uint256 _amount) external {
              require(hasRole(CAN_MINT, msg.sender), "Caller cannot burn");
              _burn(_account, _amount);
          }
          function addMinter(address _account) external onlyOwner {
              grantRole(CAN_MINT, _account);
          }
          function removeMinter(address _account) external onlyOwner {
              revokeRole(CAN_MINT, _account);
          }
      }// SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.1 (access/Ownable.sol)
      pragma solidity ^0.8.0;
      import "../utils/Context.sol";
      /**
       * @dev Contract module which provides a basic access control mechanism, where
       * there is an account (an owner) that can be granted exclusive access to
       * specific functions.
       *
       * By default, the owner account will be the one that deploys the contract. This
       * can later be changed with {transferOwnership}.
       *
       * This module is used through inheritance. It will make available the modifier
       * `onlyOwner`, which can be applied to your functions to restrict their use to
       * the owner.
       */
      abstract contract Ownable is Context {
          address private _owner;
          event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
          /**
           * @dev Initializes the contract setting the deployer as the initial owner.
           */
          constructor() {
              _transferOwnership(_msgSender());
          }
          /**
           * @dev Returns the address of the current owner.
           */
          function owner() public view virtual returns (address) {
              return _owner;
          }
          /**
           * @dev Throws if called by any account other than the owner.
           */
          modifier onlyOwner() {
              require(owner() == _msgSender(), "Ownable: caller is not the owner");
              _;
          }
          /**
           * @dev Leaves the contract without owner. It will not be possible to call
           * `onlyOwner` functions anymore. Can only be called by the current owner.
           *
           * NOTE: Renouncing ownership will leave the contract without an owner,
           * thereby removing any functionality that is only available to the owner.
           */
          function renounceOwnership() public virtual onlyOwner {
              _transferOwnership(address(0));
          }
          /**
           * @dev Transfers ownership of the contract to a new account (`newOwner`).
           * Can only be called by the current owner.
           */
          function transferOwnership(address newOwner) public virtual onlyOwner {
              require(newOwner != address(0), "Ownable: new owner is the zero address");
              _transferOwnership(newOwner);
          }
          /**
           * @dev Transfers ownership of the contract to a new account (`newOwner`).
           * Internal function without access restriction.
           */
          function _transferOwnership(address newOwner) internal virtual {
              address oldOwner = _owner;
              _owner = newOwner;
              emit OwnershipTransferred(oldOwner, newOwner);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts (last updated v4.6.0) (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.zeppelin.solutions/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 Atomically increases the allowance granted to `spender` by the caller.
           *
           * This is an alternative to {approve} that can be used as a mitigation for
           * problems described in {IERC20-approve}.
           *
           * Emits an {Approval} event indicating the updated allowance.
           *
           * Requirements:
           *
           * - `spender` cannot be the zero address.
           */
          function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
              address owner = _msgSender();
              _approve(owner, spender, allowance(owner, spender) + addedValue);
              return true;
          }
          /**
           * @dev Atomically decreases the allowance granted to `spender` by the caller.
           *
           * This is an alternative to {approve} that can be used as a mitigation for
           * problems described in {IERC20-approve}.
           *
           * Emits an {Approval} event indicating the updated allowance.
           *
           * Requirements:
           *
           * - `spender` cannot be the zero address.
           * - `spender` must have allowance for the caller of at least
           * `subtractedValue`.
           */
          function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
              address owner = _msgSender();
              uint256 currentAllowance = allowance(owner, spender);
              require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
              unchecked {
                  _approve(owner, spender, currentAllowance - subtractedValue);
              }
              return true;
          }
          /**
           * @dev Moves `amount` of tokens from `sender` to `recipient`.
           *
           * 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;
              }
              _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;
              _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;
              }
              _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 v4.6.0) (access/AccessControl.sol)
      pragma solidity ^0.8.0;
      import "./IAccessControl.sol";
      import "../utils/Context.sol";
      import "../utils/Strings.sol";
      import "../utils/introspection/ERC165.sol";
      /**
       * @dev Contract module that allows children to implement role-based access
       * control mechanisms. This is a lightweight version that doesn't allow enumerating role
       * members except through off-chain means by accessing the contract event logs. Some
       * applications may benefit from on-chain enumerability, for those cases see
       * {AccessControlEnumerable}.
       *
       * Roles are referred to by their `bytes32` identifier. These should be exposed
       * in the external API and be unique. The best way to achieve this is by
       * using `public constant` hash digests:
       *
       * ```
       * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
       * ```
       *
       * Roles can be used to represent a set of permissions. To restrict access to a
       * function call, use {hasRole}:
       *
       * ```
       * function foo() public {
       *     require(hasRole(MY_ROLE, msg.sender));
       *     ...
       * }
       * ```
       *
       * Roles can be granted and revoked dynamically via the {grantRole} and
       * {revokeRole} functions. Each role has an associated admin role, and only
       * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
       *
       * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
       * that only accounts with this role will be able to grant or revoke other
       * roles. More complex role relationships can be created by using
       * {_setRoleAdmin}.
       *
       * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
       * grant and revoke this role. Extra precautions should be taken to secure
       * accounts that have been granted it.
       */
      abstract contract AccessControl is Context, IAccessControl, ERC165 {
          struct RoleData {
              mapping(address => bool) members;
              bytes32 adminRole;
          }
          mapping(bytes32 => RoleData) private _roles;
          bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;
          /**
           * @dev Modifier that checks that an account has a specific role. Reverts
           * with a standardized message including the required role.
           *
           * The format of the revert reason is given by the following regular expression:
           *
           *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
           *
           * _Available since v4.1._
           */
          modifier onlyRole(bytes32 role) {
              _checkRole(role);
              _;
          }
          /**
           * @dev See {IERC165-supportsInterface}.
           */
          function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
              return interfaceId == type(IAccessControl).interfaceId || super.supportsInterface(interfaceId);
          }
          /**
           * @dev Returns `true` if `account` has been granted `role`.
           */
          function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
              return _roles[role].members[account];
          }
          /**
           * @dev Revert with a standard message if `_msgSender()` is missing `role`.
           * Overriding this function changes the behavior of the {onlyRole} modifier.
           *
           * Format of the revert message is described in {_checkRole}.
           *
           * _Available since v4.6._
           */
          function _checkRole(bytes32 role) internal view virtual {
              _checkRole(role, _msgSender());
          }
          /**
           * @dev Revert with a standard message if `account` is missing `role`.
           *
           * The format of the revert reason is given by the following regular expression:
           *
           *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
           */
          function _checkRole(bytes32 role, address account) internal view virtual {
              if (!hasRole(role, account)) {
                  revert(
                      string(
                          abi.encodePacked(
                              "AccessControl: account ",
                              Strings.toHexString(uint160(account), 20),
                              " is missing role ",
                              Strings.toHexString(uint256(role), 32)
                          )
                      )
                  );
              }
          }
          /**
           * @dev Returns the admin role that controls `role`. See {grantRole} and
           * {revokeRole}.
           *
           * To change a role's admin, use {_setRoleAdmin}.
           */
          function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
              return _roles[role].adminRole;
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
              _grantRole(role, account);
          }
          /**
           * @dev Revokes `role` from `account`.
           *
           * If `account` had been granted `role`, emits a {RoleRevoked} event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
              _revokeRole(role, account);
          }
          /**
           * @dev Revokes `role` from the calling account.
           *
           * Roles are often managed via {grantRole} and {revokeRole}: this function's
           * purpose is to provide a mechanism for accounts to lose their privileges
           * if they are compromised (such as when a trusted device is misplaced).
           *
           * If the calling account had been revoked `role`, emits a {RoleRevoked}
           * event.
           *
           * Requirements:
           *
           * - the caller must be `account`.
           */
          function renounceRole(bytes32 role, address account) public virtual override {
              require(account == _msgSender(), "AccessControl: can only renounce roles for self");
              _revokeRole(role, account);
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event. Note that unlike {grantRole}, this function doesn't perform any
           * checks on the calling account.
           *
           * [WARNING]
           * ====
           * This function should only be called from the constructor when setting
           * up the initial roles for the system.
           *
           * Using this function in any other way is effectively circumventing the admin
           * system imposed by {AccessControl}.
           * ====
           *
           * NOTE: This function is deprecated in favor of {_grantRole}.
           */
          function _setupRole(bytes32 role, address account) internal virtual {
              _grantRole(role, account);
          }
          /**
           * @dev Sets `adminRole` as ``role``'s admin role.
           *
           * Emits a {RoleAdminChanged} event.
           */
          function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
              bytes32 previousAdminRole = getRoleAdmin(role);
              _roles[role].adminRole = adminRole;
              emit RoleAdminChanged(role, previousAdminRole, adminRole);
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * Internal function without access restriction.
           */
          function _grantRole(bytes32 role, address account) internal virtual {
              if (!hasRole(role, account)) {
                  _roles[role].members[account] = true;
                  emit RoleGranted(role, account, _msgSender());
              }
          }
          /**
           * @dev Revokes `role` from `account`.
           *
           * Internal function without access restriction.
           */
          function _revokeRole(bytes32 role, address account) internal virtual {
              if (hasRole(role, account)) {
                  _roles[role].members[account] = false;
                  emit RoleRevoked(role, account, _msgSender());
              }
          }
      }
      // 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 (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 (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 v4.4.1 (access/IAccessControl.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev External interface of AccessControl declared to support ERC165 detection.
       */
      interface IAccessControl {
          /**
           * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
           *
           * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
           * {RoleAdminChanged} not being emitted signaling this.
           *
           * _Available since v3.1._
           */
          event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);
          /**
           * @dev Emitted when `account` is granted `role`.
           *
           * `sender` is the account that originated the contract call, an admin role
           * bearer except when using {AccessControl-_setupRole}.
           */
          event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);
          /**
           * @dev Emitted when `account` is revoked `role`.
           *
           * `sender` is the account that originated the contract call:
           *   - if using `revokeRole`, it is the admin role bearer
           *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
           */
          event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);
          /**
           * @dev Returns `true` if `account` has been granted `role`.
           */
          function hasRole(bytes32 role, address account) external view returns (bool);
          /**
           * @dev Returns the admin role that controls `role`. See {grantRole} and
           * {revokeRole}.
           *
           * To change a role's admin, use {AccessControl-_setRoleAdmin}.
           */
          function getRoleAdmin(bytes32 role) external view returns (bytes32);
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function grantRole(bytes32 role, address account) external;
          /**
           * @dev Revokes `role` from `account`.
           *
           * If `account` had been granted `role`, emits a {RoleRevoked} event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function revokeRole(bytes32 role, address account) external;
          /**
           * @dev Revokes `role` from the calling account.
           *
           * Roles are often managed via {grantRole} and {revokeRole}: this function's
           * purpose is to provide a mechanism for accounts to lose their privileges
           * if they are compromised (such as when a trusted device is misplaced).
           *
           * If the calling account had been granted `role`, emits a {RoleRevoked}
           * event.
           *
           * Requirements:
           *
           * - the caller must be `account`.
           */
          function renounceRole(bytes32 role, address account) external;
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.1 (utils/Strings.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev String operations.
       */
      library Strings {
          bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef";
          /**
           * @dev Converts a `uint256` to its ASCII `string` decimal representation.
           */
          function toString(uint256 value) internal pure returns (string memory) {
              // Inspired by OraclizeAPI's implementation - MIT licence
              // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol
              if (value == 0) {
                  return "0";
              }
              uint256 temp = value;
              uint256 digits;
              while (temp != 0) {
                  digits++;
                  temp /= 10;
              }
              bytes memory buffer = new bytes(digits);
              while (value != 0) {
                  digits -= 1;
                  buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
                  value /= 10;
              }
              return string(buffer);
          }
          /**
           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
           */
          function toHexString(uint256 value) internal pure returns (string memory) {
              if (value == 0) {
                  return "0x00";
              }
              uint256 temp = value;
              uint256 length = 0;
              while (temp != 0) {
                  length++;
                  temp >>= 8;
              }
              return toHexString(value, length);
          }
          /**
           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
           */
          function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
              bytes memory buffer = new bytes(2 * length + 2);
              buffer[0] = "0";
              buffer[1] = "x";
              for (uint256 i = 2 * length + 1; i > 1; --i) {
                  buffer[i] = _HEX_SYMBOLS[value & 0xf];
                  value >>= 4;
              }
              require(value == 0, "Strings: hex length insufficient");
              return string(buffer);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)
      pragma solidity ^0.8.0;
      import "./IERC165.sol";
      /**
       * @dev Implementation of the {IERC165} interface.
       *
       * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
       * for the additional interface id that will be supported. For example:
       *
       * ```solidity
       * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
       *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
       * }
       * ```
       *
       * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
       */
      abstract contract ERC165 is IERC165 {
          /**
           * @dev See {IERC165-supportsInterface}.
           */
          function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
              return interfaceId == type(IERC165).interfaceId;
          }
      }
      // 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);
      }
      

      File 3 of 4: TempleUniswapV2Pair
      pragma solidity =0.5.16;
      // SPDX-License-Identifier: GPL-3.0-or-later
      import '@uniswap/v2-core/contracts/interfaces/IUniswapV2Pair.sol';
      import '@uniswap/v2-core/contracts/UniswapV2ERC20.sol';
      import '@uniswap/v2-core/contracts/libraries/Math.sol';
      import '@uniswap/v2-core/contracts/libraries/UQ112x112.sol';
      import '@uniswap/v2-core/contracts/interfaces/IERC20.sol';
      import '@uniswap/v2-core/contracts/interfaces/IUniswapV2Callee.sol';
      contract TempleUniswapV2Pair is 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)')));
          // Change from standard uniswap. Owner can only change the single allowed router
          address public owner;  
          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
          // The router which can interact with this pair. required to make AMM private (change
          // from default uniswap v2)
          address public router;
          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);
          // change from default uniswap v2 - set owner and tokens when pair is created
          constructor(address _owner, address _token0, address _token1) public {
              owner = _owner;
              token0 = _token0;
              token1 = _token1;
          }
          // Owner can change the router which can call the various AMM methods
          function setRouter(address _router) external {
              require(msg.sender == owner, 'UniswapV2: FORBIDDEN');
              router = _router;
          }
          // 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);
          }
          // 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);
              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);
              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)];
              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);
              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');
              require(msg.sender == router, 'UniswapV2: FORBIDDEN'); // access control on swap
              (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);
          }
      }pragma solidity >=0.5.0;
      interface IUniswapV2Pair {
          event Approval(address indexed owner, address indexed spender, uint value);
          event Transfer(address indexed from, address indexed to, uint value);
          function name() external pure returns (string memory);
          function symbol() external pure returns (string memory);
          function decimals() external pure returns (uint8);
          function totalSupply() external view returns (uint);
          function balanceOf(address owner) external view returns (uint);
          function allowance(address owner, address spender) external view returns (uint);
          function approve(address spender, uint value) external returns (bool);
          function transfer(address to, uint value) external returns (bool);
          function transferFrom(address from, address to, uint value) external returns (bool);
          function DOMAIN_SEPARATOR() external view returns (bytes32);
          function PERMIT_TYPEHASH() external pure returns (bytes32);
          function nonces(address owner) external view returns (uint);
          function permit(address owner, address spender, uint value, uint deadline, uint8 v, bytes32 r, bytes32 s) external;
          event Mint(address indexed sender, uint amount0, uint amount1);
          event Burn(address indexed sender, uint amount0, uint amount1, address indexed to);
          event Swap(
              address indexed sender,
              uint amount0In,
              uint amount1In,
              uint amount0Out,
              uint amount1Out,
              address indexed to
          );
          event Sync(uint112 reserve0, uint112 reserve1);
          function MINIMUM_LIQUIDITY() external pure returns (uint);
          function factory() external view returns (address);
          function token0() external view returns (address);
          function token1() external view returns (address);
          function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
          function price0CumulativeLast() external view returns (uint);
          function price1CumulativeLast() external view returns (uint);
          function kLast() external view returns (uint);
          function mint(address to) external returns (uint liquidity);
          function burn(address to) external returns (uint amount0, uint amount1);
          function swap(uint amount0Out, uint amount1Out, address to, bytes calldata data) external;
          function skim(address to) external;
          function sync() external;
          function initialize(address, address) external;
      }
      pragma solidity =0.5.16;
      import './interfaces/IUniswapV2ERC20.sol';
      import './libraries/SafeMath.sol';
      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);
          }
      }
      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;
              }
          }
      }
      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);
          }
      }
      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);
      }
      pragma solidity >=0.5.0;
      interface IUniswapV2Callee {
          function uniswapV2Call(address sender, uint amount0, uint amount1, bytes calldata data) external;
      }
      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;
      }
      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 4 of 4: Vyper_contract
      # @version 0.2.15
      """
      @title StableSwap
      @author Curve.Fi
      @license Copyright (c) Curve.Fi, 2020-2021 - all rights reserved
      @notice 2 coin pool implementation with no lending
      @dev Optimized to only support ERC20's with 18 decimals that return True/revert
      """
      
      from vyper.interfaces import ERC20
      
      interface Factory:
          def convert_fees() -> bool: nonpayable
          def get_fee_receiver(_pool: address) -> address: view
          def admin() -> address: view
      
      
      event Transfer:
          sender: indexed(address)
          receiver: indexed(address)
          value: uint256
      
      event Approval:
          owner: indexed(address)
          spender: indexed(address)
          value: uint256
      
      event TokenExchange:
          buyer: indexed(address)
          sold_id: int128
          tokens_sold: uint256
          bought_id: int128
          tokens_bought: uint256
      
      event AddLiquidity:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          invariant: uint256
          token_supply: uint256
      
      event RemoveLiquidity:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          token_supply: uint256
      
      event RemoveLiquidityOne:
          provider: indexed(address)
          token_amount: uint256
          coin_amount: uint256
          token_supply: uint256
      
      event RemoveLiquidityImbalance:
          provider: indexed(address)
          token_amounts: uint256[N_COINS]
          fees: uint256[N_COINS]
          invariant: uint256
          token_supply: uint256
      
      event RampA:
          old_A: uint256
          new_A: uint256
          initial_time: uint256
          future_time: uint256
      
      event StopRampA:
          A: uint256
          t: uint256
      
      
      N_COINS: constant(int128) = 2
      PRECISION: constant(int128) = 10 ** 18
      
      FEE_DENOMINATOR: constant(uint256) = 10 ** 10
      ADMIN_FEE: constant(uint256) = 5000000000
      
      A_PRECISION: constant(uint256) = 100
      MAX_A: constant(uint256) = 10 ** 6
      MAX_A_CHANGE: constant(uint256) = 10
      MIN_RAMP_TIME: constant(uint256) = 86400
      
      factory: address
      
      coins: public(address[N_COINS])
      balances: public(uint256[N_COINS])
      fee: public(uint256)  # fee * 1e10
      
      initial_A: public(uint256)
      future_A: public(uint256)
      initial_A_time: public(uint256)
      future_A_time: public(uint256)
      
      name: public(String[64])
      symbol: public(String[32])
      
      balanceOf: public(HashMap[address, uint256])
      allowance: public(HashMap[address, HashMap[address, uint256]])
      totalSupply: public(uint256)
      
      
      @external
      def __init__():
          # we do this to prevent the implementation contract from being used as a pool
          self.fee = 31337
      
      
      @external
      def initialize(
          _name: String[32],
          _symbol: String[10],
          _coins: address[4],
          _rate_multipliers: uint256[4],
          _A: uint256,
          _fee: uint256,
      ):
          """
          @notice Contract constructor
          @param _name Name of the new pool
          @param _symbol Token symbol
          @param _coins List of all ERC20 conract addresses of coins
          @param _rate_multipliers List of number of decimals in coins
          @param _A Amplification coefficient multiplied by n ** (n - 1)
          @param _fee Fee to charge for exchanges
          """
          # check if fee was already set to prevent initializing contract twice
          assert self.fee == 0
      
          for i in range(N_COINS):
              coin: address = _coins[i]
              if coin == ZERO_ADDRESS:
                  break
              self.coins[i] = coin
              assert _rate_multipliers[i] == PRECISION
      
          A: uint256 = _A * A_PRECISION
          self.initial_A = A
          self.future_A = A
          self.fee = _fee
          self.factory = msg.sender
      
          self.name = concat("Curve.fi Factory Plain Pool: ", _name)
          self.symbol = concat(_symbol, "-f")
      
          # fire a transfer event so block explorers identify the contract as an ERC20
          log Transfer(ZERO_ADDRESS, self, 0)
      
      
      ### ERC20 Functionality ###
      
      @view
      @external
      def decimals() -> uint256:
          """
          @notice Get the number of decimals for this token
          @dev Implemented as a view method to reduce gas costs
          @return uint256 decimal places
          """
          return 18
      
      
      @internal
      def _transfer(_from: address, _to: address, _value: uint256):
          # # NOTE: vyper does not allow underflows
          # #       so the following subtraction would revert on insufficient balance
          self.balanceOf[_from] -= _value
          self.balanceOf[_to] += _value
      
          log Transfer(_from, _to, _value)
      
      
      @external
      def transfer(_to : address, _value : uint256) -> bool:
          """
          @dev Transfer token for a specified address
          @param _to The address to transfer to.
          @param _value The amount to be transferred.
          """
          self._transfer(msg.sender, _to, _value)
          return True
      
      
      @external
      def transferFrom(_from : address, _to : address, _value : uint256) -> bool:
          """
           @dev Transfer tokens from one address to another.
           @param _from address The address which you want to send tokens from
           @param _to address The address which you want to transfer to
           @param _value uint256 the amount of tokens to be transferred
          """
          self._transfer(_from, _to, _value)
      
          _allowance: uint256 = self.allowance[_from][msg.sender]
          if _allowance != MAX_UINT256:
              self.allowance[_from][msg.sender] = _allowance - _value
      
          return True
      
      
      @external
      def approve(_spender : address, _value : uint256) -> bool:
          """
          @notice Approve the passed address to transfer the specified amount of
                  tokens on behalf of msg.sender
          @dev Beware that changing an allowance via this method brings the risk that
               someone may use both the old and new allowance by unfortunate transaction
               ordering: https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
          @param _spender The address which will transfer the funds
          @param _value The amount of tokens that may be transferred
          @return bool success
          """
          self.allowance[msg.sender][_spender] = _value
      
          log Approval(msg.sender, _spender, _value)
          return True
      
      
      ### StableSwap Functionality ###
      
      @view
      @external
      def get_balances() -> uint256[N_COINS]:
          return self.balances
      
      
      @view
      @internal
      def _A() -> uint256:
          """
          Handle ramping A up or down
          """
          t1: uint256 = self.future_A_time
          A1: uint256 = self.future_A
      
          if block.timestamp < t1:
              A0: uint256 = self.initial_A
              t0: uint256 = self.initial_A_time
              # Expressions in uint256 cannot have negative numbers, thus "if"
              if A1 > A0:
                  return A0 + (A1 - A0) * (block.timestamp - t0) / (t1 - t0)
              else:
                  return A0 - (A0 - A1) * (block.timestamp - t0) / (t1 - t0)
      
          else:  # when t1 == 0 or block.timestamp >= t1
              return A1
      
      
      @view
      @external
      def admin_fee() -> uint256:
          return ADMIN_FEE
      
      
      @view
      @external
      def A() -> uint256:
          return self._A() / A_PRECISION
      
      
      @view
      @external
      def A_precise() -> uint256:
          return self._A()
      
      
      @pure
      @internal
      def get_D(_xp: uint256[N_COINS], _amp: uint256) -> uint256:
          """
          D invariant calculation in non-overflowing integer operations
          iteratively
      
          A * sum(x_i) * n**n + D = A * D * n**n + D**(n+1) / (n**n * prod(x_i))
      
          Converging solution:
          D[j+1] = (A * n**n * sum(x_i) - D[j]**(n+1) / (n**n prod(x_i))) / (A * n**n - 1)
          """
          S: uint256 = 0
          for x in _xp:
              S += x
          if S == 0:
              return 0
      
          D: uint256 = S
          Ann: uint256 = _amp * N_COINS
          for i in range(255):
              D_P: uint256 = D * D / _xp[0] * D / _xp[1] / (N_COINS)**2
              Dprev: uint256 = D
              D = (Ann * S / A_PRECISION + D_P * N_COINS) * D / ((Ann - A_PRECISION) * D / A_PRECISION + (N_COINS + 1) * D_P)
              # Equality with the precision of 1
              if D > Dprev:
                  if D - Dprev <= 1:
                      return D
              else:
                  if Dprev - D <= 1:
                      return D
          # convergence typically occurs in 4 rounds or less, this should be unreachable!
          # if it does happen the pool is borked and LPs can withdraw via `remove_liquidity`
          raise
      
      
      @view
      @external
      def get_virtual_price() -> uint256:
          """
          @notice The current virtual price of the pool LP token
          @dev Useful for calculating profits
          @return LP token virtual price normalized to 1e18
          """
          amp: uint256 = self._A()
          D: uint256 = self.get_D(self.balances, amp)
          # D is in the units similar to DAI (e.g. converted to precision 1e18)
          # When balanced, D = n * x_u - total virtual value of the portfolio
          return D * PRECISION / self.totalSupply
      
      
      @view
      @external
      def calc_token_amount(_amounts: uint256[N_COINS], _is_deposit: bool) -> uint256:
          """
          @notice Calculate addition or reduction in token supply from a deposit or withdrawal
          @dev This calculation accounts for slippage, but not fees.
               Needed to prevent front-running, not for precise calculations!
          @param _amounts Amount of each coin being deposited
          @param _is_deposit set True for deposits, False for withdrawals
          @return Expected amount of LP tokens received
          """
          amp: uint256 = self._A()
          balances: uint256[N_COINS] = self.balances
      
          D0: uint256 = self.get_D(balances, amp)
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if _is_deposit:
                  balances[i] += amount
              else:
                  balances[i] -= amount
          D1: uint256 = self.get_D(balances, amp)
          diff: uint256 = 0
          if _is_deposit:
              diff = D1 - D0
          else:
              diff = D0 - D1
          return diff * self.totalSupply / D0
      
      
      @external
      @nonreentrant('lock')
      def add_liquidity(
          _amounts: uint256[N_COINS],
          _min_mint_amount: uint256,
          _receiver: address = msg.sender
      ) -> uint256:
          """
          @notice Deposit coins into the pool
          @param _amounts List of amounts of coins to deposit
          @param _min_mint_amount Minimum amount of LP tokens to mint from the deposit
          @param _receiver Address that owns the minted LP tokens
          @return Amount of LP tokens received by depositing
          """
          amp: uint256 = self._A()
          old_balances: uint256[N_COINS] = self.balances
      
          # Initial invariant
          D0: uint256 = self.get_D(old_balances, amp)
      
          total_supply: uint256 = self.totalSupply
          new_balances: uint256[N_COINS] = old_balances
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if total_supply == 0:
                  assert amount > 0  # dev: initial deposit requires all coins
              new_balances[i] += amount
      
          # Invariant after change
          D1: uint256 = self.get_D(new_balances, amp)
          assert D1 > D0
      
          # We need to recalculate the invariant accounting for fees
          # to calculate fair user's share
          fees: uint256[N_COINS] = empty(uint256[N_COINS])
          mint_amount: uint256 = 0
          if total_supply > 0:
              # Only account for fees if we are not the first to deposit
              base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
              for i in range(N_COINS):
                  ideal_balance: uint256 = D1 * old_balances[i] / D0
                  difference: uint256 = 0
                  new_balance: uint256 = new_balances[i]
                  if ideal_balance > new_balance:
                      difference = ideal_balance - new_balance
                  else:
                      difference = new_balance - ideal_balance
                  fees[i] = base_fee * difference / FEE_DENOMINATOR
                  self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR)
                  new_balances[i] -= fees[i]
              D2: uint256 = self.get_D(new_balances, amp)
              mint_amount = total_supply * (D2 - D0) / D0
          else:
              self.balances = new_balances
              mint_amount = D1  # Take the dust if there was any
      
          assert mint_amount >= _min_mint_amount, "Slippage screwed you"
      
          # Take coins from the sender
          for i in range(N_COINS):
              amount: uint256 = _amounts[i]
              if amount > 0:
                  assert ERC20(self.coins[i]).transferFrom(msg.sender, self, amount)
      
          # Mint pool tokens
          total_supply += mint_amount
          self.balanceOf[_receiver] += mint_amount
          self.totalSupply = total_supply
          log Transfer(ZERO_ADDRESS, _receiver, mint_amount)
      
          log AddLiquidity(msg.sender, _amounts, fees, D1, total_supply)
      
          return mint_amount
      
      
      @view
      @internal
      def get_y(i: int128, j: int128, x: uint256, xp: uint256[N_COINS]) -> uint256:
          """
          Calculate x[j] if one makes x[i] = x
      
          Done by solving quadratic equation iteratively.
          x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
          x_1**2 + b*x_1 = c
      
          x_1 = (x_1**2 + c) / (2*x_1 + b)
          """
          # x in the input is converted to the same price/precision
      
          assert i != j       # dev: same coin
          assert j >= 0       # dev: j below zero
          assert j < N_COINS  # dev: j above N_COINS
      
          # should be unreachable, but good for safety
          assert i >= 0
          assert i < N_COINS
      
          amp: uint256 = self._A()
          D: uint256 = self.get_D(xp, amp)
          S_: uint256 = 0
          _x: uint256 = 0
          y_prev: uint256 = 0
          c: uint256 = D
          Ann: uint256 = amp * N_COINS
      
          for _i in range(N_COINS):
              if _i == i:
                  _x = x
              elif _i != j:
                  _x = xp[_i]
              else:
                  continue
              S_ += _x
              c = c * D / (_x * N_COINS)
      
          c = c * D * A_PRECISION / (Ann * N_COINS)
          b: uint256 = S_ + D * A_PRECISION / Ann  # - D
          y: uint256 = D
      
          for _i in range(255):
              y_prev = y
              y = (y*y + c) / (2 * y + b - D)
              # Equality with the precision of 1
              if y > y_prev:
                  if y - y_prev <= 1:
                      return y
              else:
                  if y_prev - y <= 1:
                      return y
          raise
      
      
      @view
      @external
      def get_dy(i: int128, j: int128, dx: uint256) -> uint256:
          """
          @notice Calculate the current output dy given input dx
          @dev Index values can be found via the `coins` public getter method
          @param i Index value for the coin to send
          @param j Index valie of the coin to recieve
          @param dx Amount of `i` being exchanged
          @return Amount of `j` predicted
          """
          xp: uint256[N_COINS] = self.balances
      
          x: uint256 = xp[i] + dx
          y: uint256 = self.get_y(i, j, x, xp)
          dy: uint256 = xp[j] - y - 1
          fee: uint256 = self.fee * dy / FEE_DENOMINATOR
          return dy - fee
      
      
      @external
      @nonreentrant('lock')
      def exchange(
          i: int128,
          j: int128,
          _dx: uint256,
          _min_dy: uint256,
          _receiver: address = msg.sender,
      ) -> uint256:
          """
          @notice Perform an exchange between two coins
          @dev Index values can be found via the `coins` public getter method
          @param i Index value for the coin to send
          @param j Index valie of the coin to recieve
          @param _dx Amount of `i` being exchanged
          @param _min_dy Minimum amount of `j` to receive
          @return Actual amount of `j` received
          """
          old_balances: uint256[N_COINS] = self.balances
      
          x: uint256 = old_balances[i] + _dx
          y: uint256 = self.get_y(i, j, x, old_balances)
      
          dy: uint256 = old_balances[j] - y - 1  # -1 just in case there were some rounding errors
          dy_fee: uint256 = dy * self.fee / FEE_DENOMINATOR
      
          # Convert all to real units
          dy -= dy_fee
          assert dy >= _min_dy, "Exchange resulted in fewer coins than expected"
      
          dy_admin_fee: uint256 = dy_fee * ADMIN_FEE / FEE_DENOMINATOR
      
          # Change balances exactly in same way as we change actual ERC20 coin amounts
          self.balances[i] = old_balances[i] + _dx
          # When rounding errors happen, we undercharge admin fee in favor of LP
          self.balances[j] = old_balances[j] - dy - dy_admin_fee
      
          assert ERC20(self.coins[i]).transferFrom(msg.sender, self, _dx)
          assert ERC20(self.coins[j]).transfer(_receiver, dy)
      
          log TokenExchange(msg.sender, i, _dx, j, dy)
      
          return dy
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity(
          _burn_amount: uint256,
          _min_amounts: uint256[N_COINS],
          _receiver: address = msg.sender
      ) -> uint256[N_COINS]:
          """
          @notice Withdraw coins from the pool
          @dev Withdrawal amounts are based on current deposit ratios
          @param _burn_amount Quantity of LP tokens to burn in the withdrawal
          @param _min_amounts Minimum amounts of underlying coins to receive
          @param _receiver Address that receives the withdrawn coins
          @return List of amounts of coins that were withdrawn
          """
          total_supply: uint256 = self.totalSupply
          amounts: uint256[N_COINS] = empty(uint256[N_COINS])
      
          for i in range(N_COINS):
              old_balance: uint256 = self.balances[i]
              value: uint256 = old_balance * _burn_amount / total_supply
              assert value >= _min_amounts[i], "Withdrawal resulted in fewer coins than expected"
              self.balances[i] = old_balance - value
              amounts[i] = value
              assert ERC20(self.coins[i]).transfer(_receiver, value)
      
          total_supply -= _burn_amount
          self.balanceOf[msg.sender] -= _burn_amount
          self.totalSupply = total_supply
          log Transfer(msg.sender, ZERO_ADDRESS, _burn_amount)
      
          log RemoveLiquidity(msg.sender, amounts, empty(uint256[N_COINS]), total_supply)
      
          return amounts
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity_imbalance(
          _amounts: uint256[N_COINS],
          _max_burn_amount: uint256,
          _receiver: address = msg.sender
      ) -> uint256:
          """
          @notice Withdraw coins from the pool in an imbalanced amount
          @param _amounts List of amounts of underlying coins to withdraw
          @param _max_burn_amount Maximum amount of LP token to burn in the withdrawal
          @param _receiver Address that receives the withdrawn coins
          @return Actual amount of the LP token burned in the withdrawal
          """
          amp: uint256 = self._A()
          old_balances: uint256[N_COINS] = self.balances
          D0: uint256 = self.get_D(old_balances, amp)
      
          new_balances: uint256[N_COINS] = old_balances
          for i in range(N_COINS):
              new_balances[i] -= _amounts[i]
          D1: uint256 = self.get_D(new_balances, amp)
      
          fees: uint256[N_COINS] = empty(uint256[N_COINS])
          base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
          for i in range(N_COINS):
              ideal_balance: uint256 = D1 * old_balances[i] / D0
              difference: uint256 = 0
              new_balance: uint256 = new_balances[i]
              if ideal_balance > new_balance:
                  difference = ideal_balance - new_balance
              else:
                  difference = new_balance - ideal_balance
              fees[i] = base_fee * difference / FEE_DENOMINATOR
              self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR)
              new_balances[i] -= fees[i]
          D2: uint256 = self.get_D(new_balances, amp)
      
          total_supply: uint256 = self.totalSupply
          burn_amount: uint256 = ((D0 - D2) * total_supply / D0) + 1
          assert burn_amount > 1  # dev: zero tokens burned
          assert burn_amount <= _max_burn_amount, "Slippage screwed you"
      
          total_supply -= burn_amount
          self.totalSupply = total_supply
          self.balanceOf[msg.sender] -= burn_amount
          log Transfer(msg.sender, ZERO_ADDRESS, burn_amount)
      
          for i in range(N_COINS):
              if _amounts[i] != 0:
                  assert ERC20(self.coins[i]).transfer(_receiver, _amounts[i])
      
          log RemoveLiquidityImbalance(msg.sender, _amounts, fees, D1, total_supply)
      
          return burn_amount
      
      
      @pure
      @internal
      def get_y_D(A: uint256, i: int128, xp: uint256[N_COINS], D: uint256) -> uint256:
          """
          Calculate x[i] if one reduces D from being calculated for xp to D
      
          Done by solving quadratic equation iteratively.
          x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
          x_1**2 + b*x_1 = c
      
          x_1 = (x_1**2 + c) / (2*x_1 + b)
          """
          # x in the input is converted to the same price/precision
      
          assert i >= 0  # dev: i below zero
          assert i < N_COINS  # dev: i above N_COINS
      
          S_: uint256 = 0
          _x: uint256 = 0
          y_prev: uint256 = 0
          c: uint256 = D
          Ann: uint256 = A * N_COINS
      
          for _i in range(N_COINS):
              if _i != i:
                  _x = xp[_i]
              else:
                  continue
              S_ += _x
              c = c * D / (_x * N_COINS)
      
          c = c * D * A_PRECISION / (Ann * N_COINS)
          b: uint256 = S_ + D * A_PRECISION / Ann
          y: uint256 = D
      
          for _i in range(255):
              y_prev = y
              y = (y*y + c) / (2 * y + b - D)
              # Equality with the precision of 1
              if y > y_prev:
                  if y - y_prev <= 1:
                      return y
              else:
                  if y_prev - y <= 1:
                      return y
          raise
      
      
      @view
      @internal
      def _calc_withdraw_one_coin(_burn_amount: uint256, i: int128) -> uint256[2]:
          # First, need to calculate
          # * Get current D
          # * Solve Eqn against y_i for D - _token_amount
          amp: uint256 = self._A()
          balances: uint256[N_COINS] = self.balances
          D0: uint256 = self.get_D(balances, amp)
      
          total_supply: uint256 = self.totalSupply
          D1: uint256 = D0 - _burn_amount * D0 / total_supply
          new_y: uint256 = self.get_y_D(amp, i, balances, D1)
      
          base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
          xp_reduced: uint256[N_COINS] = empty(uint256[N_COINS])
      
          for j in range(N_COINS):
              dx_expected: uint256 = 0
              xp_j: uint256 = balances[j]
              if j == i:
                  dx_expected = xp_j * D1 / D0 - new_y
              else:
                  dx_expected = xp_j - xp_j * D1 / D0
              xp_reduced[j] = xp_j - base_fee * dx_expected / FEE_DENOMINATOR
      
          dy: uint256 = xp_reduced[i] - self.get_y_D(amp, i, xp_reduced, D1)
          dy_0: uint256 = (balances[i] - new_y)  # w/o fees
          dy = (dy - 1)  # Withdraw less to account for rounding errors
      
          return [dy, dy_0 - dy]
      
      
      @view
      @external
      def calc_withdraw_one_coin(_burn_amount: uint256, i: int128, _previous: bool = False) -> uint256:
          """
          @notice Calculate the amount received when withdrawing a single coin
          @param _burn_amount Amount of LP tokens to burn in the withdrawal
          @param i Index value of the coin to withdraw
          @return Amount of coin received
          """
          return self._calc_withdraw_one_coin(_burn_amount, i)[0]
      
      
      @external
      @nonreentrant('lock')
      def remove_liquidity_one_coin(
          _burn_amount: uint256,
          i: int128,
          _min_received: uint256,
          _receiver: address = msg.sender,
      ) -> uint256:
          """
          @notice Withdraw a single coin from the pool
          @param _burn_amount Amount of LP tokens to burn in the withdrawal
          @param i Index value of the coin to withdraw
          @param _min_received Minimum amount of coin to receive
          @param _receiver Address that receives the withdrawn coins
          @return Amount of coin received
          """
          dy: uint256[2] = self._calc_withdraw_one_coin(_burn_amount, i)
          assert dy[0] >= _min_received, "Not enough coins removed"
      
          self.balances[i] -= (dy[0] + dy[1] * ADMIN_FEE / FEE_DENOMINATOR)
          total_supply: uint256 = self.totalSupply - _burn_amount
          self.totalSupply = total_supply
          self.balanceOf[msg.sender] -= _burn_amount
          log Transfer(msg.sender, ZERO_ADDRESS, _burn_amount)
      
          assert ERC20(self.coins[i]).transfer(_receiver, dy[0])
      
          log RemoveLiquidityOne(msg.sender, _burn_amount, dy[0], total_supply)
      
          return dy[0]
      
      
      @external
      def ramp_A(_future_A: uint256, _future_time: uint256):
          assert msg.sender == Factory(self.factory).admin()  # dev: only owner
          assert block.timestamp >= self.initial_A_time + MIN_RAMP_TIME
          assert _future_time >= block.timestamp + MIN_RAMP_TIME  # dev: insufficient time
      
          _initial_A: uint256 = self._A()
          _future_A_p: uint256 = _future_A * A_PRECISION
      
          assert _future_A > 0 and _future_A < MAX_A
          if _future_A_p < _initial_A:
              assert _future_A_p * MAX_A_CHANGE >= _initial_A
          else:
              assert _future_A_p <= _initial_A * MAX_A_CHANGE
      
          self.initial_A = _initial_A
          self.future_A = _future_A_p
          self.initial_A_time = block.timestamp
          self.future_A_time = _future_time
      
          log RampA(_initial_A, _future_A_p, block.timestamp, _future_time)
      
      
      @external
      def stop_ramp_A():
          assert msg.sender == Factory(self.factory).admin()  # dev: only owner
      
          current_A: uint256 = self._A()
          self.initial_A = current_A
          self.future_A = current_A
          self.initial_A_time = block.timestamp
          self.future_A_time = block.timestamp
          # now (block.timestamp < t1) is always False, so we return saved A
      
          log StopRampA(current_A, block.timestamp)
      
      
      @view
      @external
      def admin_balances(i: uint256) -> uint256:
          return ERC20(self.coins[i]).balanceOf(self) - self.balances[i]
      
      
      @external
      def withdraw_admin_fees():
          receiver: address = Factory(self.factory).get_fee_receiver(self)
      
          for i in range(N_COINS):
              coin: address = self.coins[i]
              fees: uint256 = ERC20(coin).balanceOf(self) - self.balances[i]
              ERC20(coin).transfer(receiver, fees)