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);
      uint k = 0;
      uint i;
      for (i = 0; i < _ba.length; i++) babcde[k++] = _ba[i];
      for (i = 0; i < _bb.length; i++) babcde[k++] = _bb[i];
      for (i = 0; i < _bc.length; i++) babcde[k++] = _bc[i];
      for (i = 0; i < _bd.length; i++) babcde[k++] = _bd[i];
      for (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(uint _i) internal pure returns (string memory _uintAsString) {
    if (_i == 0) {
        return "0";
    }
    uint j = _i;
    uint len;
    while (j != 0) {
        len++;
        j /= 10;
    }
    bytes memory bstr = new bytes(len);
    uint k = len - 1;
    while (_i != 0) {
        bstr[k--] = byte(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);
      uint k = 0;
      uint i;
      for (i = 0; i < _ba.length; i++) babcde[k++] = _ba[i];
      for (i = 0; i < _bb.length; i++) babcde[k++] = _bb[i];
      for (i = 0; i < _bc.length; i++) babcde[k++] = _bc[i];
      for (i = 0; i < _bd.length; i++) babcde[k++] = _bd[i];
      for (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