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