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