library Strings {
  // via https://github.com/oraclize/ethereum-api/blob/master/oraclizeAPI_0.5.sol
  function strConcat(
    string memory _a,
    string memory _b,
    string memory _c,
    string memory _d,
    string memory _e
  ) internal pure returns (string memory) {
    bytes memory _ba = bytes(_a);
    bytes memory _bb = bytes(_b);
    bytes memory _bc = bytes(_c);
    bytes memory _bd = bytes(_d);
    bytes memory _be = bytes(_e);
    string memory abcde = new string(_ba.length + _bb.length + _bc.length + _bd.length + _be.length);
    bytes memory babcde = bytes(abcde);
    uint256 k = 0;
    for (uint256 i = 0; i < _ba.length; i++) babcde[k++] = _ba[i];
    for (uint256 i = 0; i < _bb.length; i++) babcde[k++] = _bb[i];
    for (uint256 i = 0; i < _bc.length; i++) babcde[k++] = _bc[i];
    for (uint256 i = 0; i < _bd.length; i++) babcde[k++] = _bd[i];
    for (uint256 i = 0; i < _be.length; i++) babcde[k++] = _be[i];
    return string(babcde);
  }

  function strConcat(
    string memory _a,
    string memory _b,
    string memory _c,
    string memory _d
  ) internal pure returns (string memory) {
    return strConcat(_a, _b, _c, _d, "");
  }

  function strConcat(
    string memory _a,
    string memory _b,
    string memory _c
  ) internal pure returns (string memory) {
    return strConcat(_a, _b, _c, "", "");
  }

  function strConcat(string memory _a, string memory _b) internal pure returns (string memory) {
    return strConcat(_a, _b, "", "", "");
  }

  function uint2str(uint256 _i) internal pure returns (string memory _uintAsString) {
    if (_i == 0) {
      return "0";
    }
    uint256 j = _i;
    uint256 len;
    while (j != 0) {
      len++;
      j /= 10;
    }
    bytes memory bstr = new bytes(len);
    uint256 k = len - 1;
    while (_i != 0) {
      bstr[k--] = bytes1(uint8(48 + (_i % 10)));
      _i /= 10;
    }
    return string(bstr);
  }
}
function strConcat(
  string memory _a,
  string memory _b,
  string memory _c,
  string memory _d,
  string memory _e
) internal pure returns (string memory) {
  bytes memory _ba = bytes(_a);
  bytes memory _bb = bytes(_b);
  bytes memory _bc = bytes(_c);
  bytes memory _bd = bytes(_d);
  bytes memory _be = bytes(_e);
  string memory abcde = new string(_ba.length + _bb.length + _bc.length + _bd.length + _be.length);
  bytes memory babcde = bytes(abcde);
  uint256 k = 0;
  for (uint256 i = 0; i < _ba.length; i++) babcde[k++] = _ba[i];
  for (uint256 i = 0; i < _bb.length; i++) babcde[k++] = _bb[i];
  for (uint256 i = 0; i < _bc.length; i++) babcde[k++] = _bc[i];
  for (uint256 i = 0; i < _bd.length; i++) babcde[k++] = _bd[i];
  for (uint256 i = 0; i < _be.length; i++) babcde[k++] = _be[i];
  return string(babcde);
}

// via https://github.com/oraclize/ethereum-api/blob/master/oraclizeAPI_0.5.sol