Morris' Blog 我在摸索我存在的意義、生命的意義、內涵及價值。 沒有真正神手般的厲害，套用模式是大部分的情況。 沒那麼厲害的我存在的意義為何，襯托出神的存在？ 有時候不能怪別人不給我機會，我已經開始省思， 為什麼我沒有給別人機會的原因，而是全要靠別人。 有時候我認為我與眾不同，那是因為我做不到很多人能辦到的事情。 我聽不到、玩不起來、說得不夠明瞭、理解得不夠多， 我缺少的語文能力，就是一切一切無能的判定。 為此，我不曉得能做些對別人有幫助的事情。 我知道我自己是個不服輸的性格，但現在我不得不認輸。 我沒有能力，因此我必須認輸。 我到底來這世界作什麼？處處充滿不確定性， 而我總是無法出類拔萃，想當個一般人似乎也回不了頭了。 越強大的挑戰需要越強力的支持，而我的支持是什麼？ 最近嘗試與人談話，但都是失敗的結局，沒人能接受， 不需要言語，不需要溝通，一切所想都表達不出來。

49愛的鼓勵 6訂閱站台

Problem H

Find the Permuted String

Input: standard input

Output: standard output

Time Limit: 1 seconds

Permutation of a given string can be done in different ways. In order to get different permutations of a string, when all characters in the string are different, Donald E. Knuth gave the following process. To get all the permutations of a n character string (a1a2…an), using each permutation a1, a2… an-1, we can form n others by inserting ‘an’ (nth character) in all possible places. Thus we get n! permutations of that string. For example, to generate all permutations of “ACB”, we first start with ‘A’, then insert ’C’ and then insert ‘B’.

So we see that using above technique, the permutations of “ACB” are generated in a particular order. Here 2nd permutation of “ACB” is the string “CBA” or permutation index of “CBA” is 2. In this problem you will be given a string and a permutation index, I. You have to find the I'th permutation of the given string.

Input

First line of the input file will contain an integer denoting the number of test cases to follow. For each test case there will be two lines. First line of each test case will contain a string of length less than or equal to 26. The characters of the string will be all upper case letters and different. Next line will contain a permutation index, I. Range of I is from 1 to min(n!,2^31-1), where n is the length of the string.

Output

For each test case, print the I'th permuted string of the given string in a line. Look at Sample input and output for details.

Sample Input

Sample Output