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Nearest Beautiful Number (hard version)

1000ms 262144K

Description:

It is a complicated version of problem F1. The difference between them is the constraints (F1: $$$k \le 2$$$, F2: $$$k \le 10$$$).

You are given an integer $$$n$$$. Find the minimum integer $$$x$$$ such that $$$x \ge n$$$ and the number $$$x$$$ is $$$k$$$-beautiful.

A number is called $$$k$$$-beautiful if its decimal representation having no leading zeroes contains no more than $$$k$$$ different digits. E.g. if $$$k = 2$$$, the numbers $$$3434443$$$, $$$55550$$$, $$$777$$$ and $$$21$$$ are $$$k$$$-beautiful whereas the numbers $$$120$$$, $$$445435$$$ and $$$998244353$$$ are not.

Input:

The first line contains one integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of test cases. Then $$$t$$$ test cases follow.

Each test case consists of one line containing two integers $$$n$$$ and $$$k$$$ ($$$1 \le n \le 10^9$$$, $$$1 \le k \le 10$$$).

Output:

For each test case output on a separate line $$$x$$$ — the minimum $$$k$$$-beautiful integer such that $$$x \ge n$$$.

Sample Input:

6
2021 3
177890 2
34512 3
724533 4
998244353 1
12345678 10

Sample Output:

2021
181111
34533
724542
999999999
12345678

Informação

Codeforces

Provedor Codeforces

Código CF1560F2

Tags

bitmasksbrute forceconstructive algorithmsdfs and similardpgreedy

Submetido 0

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Taxa de BOUA's 0%

Datas 09/05/2023 10:16:53

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