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Sunday 10 July 2022

[Solution] Not a Cheap String Codeforces Solution


D. Not a Cheap String
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Let s be a string of lowercase Latin letters. Its price is the sum of the indices of letters (an integer between 1 and 26) that are included in it. For example, the price of the string abca is 1+2+3+1=7.

The string w and the integer p are given. Remove the minimal number of letters from w so that its price becomes less than or equal to p and print the resulting string. Note that the resulting string may be empty. You can delete arbitrary letters, they do not have to go in a row. If the price of a given string w is less than or equal to p, then nothing needs to be deleted and w must be output.

Note that when you delete a letter from w, the order of the remaining letters is preserved. For example, if

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 you delete the letter e from the string test, you get tst.

Input

The first line of input contains an integer t (1t104) — the number of test cases in the test. The following are descriptions of t test cases.

Each case consists of two lines.

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The first of them is the string w, it is non-empty and consists of lowercase Latin letters. Its length does not exceed 2105.

The second line contains an integer p (1p5200000).

It is guaranteed that the sum of string lengths w over all test cases does not exceed 2105.

Output

Output exactly t rows, the i-th of them should contain the answer to the i-th set of input data. Print the longest string that is obtained from w by deleting letters such that its price is less or equal to p. If there are several answers, then output any of them.

Note that the empty string  — is one of the possible answers. In this case, just output an empty string.

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