Microsoft Online Test for Core Technical Positions 2: K-th string

Time Limit:10000ms
Case Time Limit:1000ms
Memory Limit:256MB

Description

Consider a string set that each of them consists of {0, 1} only. All strings in the set have the same number of 0s and 1s. Write a program to find and output the K-th string according to the dictionary order. If such a string doesn’t exist, or the input is not valid, please output “Impossible”. For example, if we have two ‘0’s and two ‘1’s, we will have a set with 6 different strings, {0011, 0101, 0110, 1001, 1010, 1100}, and the 4th string is 1001.

Input

The first line of the input file contains a single integer t (1 ≤ t ≤ 10000), the number of test cases, followed by the input data for each test case.
Each test case is 3 integers separated by blank space: N, M(2 <= N + M <= 33 and N , M >= 0), K(1 <= K <= 1000000000). N stands for the number of ‘0’s, M stands for the number of ‘1’s, and K stands for the K-th of string in the set that needs to be printed as output.

Output

For each case, print exactly one line. If the string exists, please print it, otherwise print “Impossible”.

Sample Input
Sample Output
如无注明,均为原创。转载请注明: 转载自MITGAI`S THINKING
本文链接地址: Microsoft Online Test for Core Technical Positions 2: K-th string

知识共享许可协议本作品采用知识共享署名-非商业性使用-相同方式共享 4.0 国际许可协议进行许可。

如果本文对您生活或工作产生了积极影响,那我非常高兴。
如果您愿意为文章的内容或想法提供支持,欢迎点击下边的捐赠按钮,资助作者创作更多高价值高品质的内容。
支付宝捐赠
anyShare分享到:

发表评论