CF1512C.A-B Palindrome

普及-

通过率:0%

时间限制:2.00s

内存限制:256MB

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题目描述

You are given a string ss consisting of the characters '0', '1', and '?'. You need to replace all the characters with '?' in the string ss by '0' or '1' so that the string becomes a palindrome and has exactly aa characters '0' and exactly bb characters '1'. Note that each of the characters '?' is replaced independently from the others.

A string tt of length nn is called a palindrome if the equality t[i]=t[n−i+1]t[i] = t[n-i+1] is true for all ii (1≤i≤n1 \le i \le n).

For example, if s=s="01?????0", a=4a=4 and b=4b=4, then you can replace the characters '?' in the following ways:

  • "01011010";
  • "01100110".

For the given string ss and the numbers aa and bb, replace all the characters with '?' in the string ss by '0' or '1' so that the string becomes a palindrome and has exactly aa characters '0' and exactly bb characters '1'.

给你一个由字符 '0'、'1' 和 '?' 组成的字符串 ss。你需要将字符串 ss 中所有 '?' 字符分别独立地替换为 '0' 或 '1',使得最终字符串成为一个回文串,且恰好包含 aa 个 '0' 字符和 bb 个 '1' 字符。

长度为 nn 的字符串 tt 被称为回文串,当且仅当对所有 ii(1≤i≤n1 \le i \le n)均满足 t[i]=t[n−i+1]t[i] = t[n-i+1]。

例如,若 s=s = "01?????0",a=4a = 4 且 b=4b = 4,则你可以按如下方式替换 '?' 字符:

  • "01011010";
  • "01100110"。

对于给定的字符串 ss 以及整数 aa 和 bb,请将字符串 ss 中所有 '?' 字符替换为 '0' 或 '1',使得最终字符串是一个回文串,且恰好包含 aa 个 '0' 和 bb 个 '1'。

输入格式

The first line contains a single integer tt (1≤t≤1041 \le t \le 10^4). Then tt test cases follow.

The first line of each test case contains two integers aa and bb (0≤a,b≤2⋅1050 \le a, b \le 2 \cdot 10^5, a+b≥1a + b \ge 1).

The second line of each test case contains the string ss of length a+ba+b, consisting of the characters '0', '1', and '?'.

It is guaranteed that the sum of the string lengths of ss over all test cases does not exceed 2⋅1052 \cdot 10^5.

第一行包含一个整数 tt(1≤t≤1041 \le t \le 10^4)。随后是 tt 组测试数据。

每组测试数据的第一行包含两个整数 aa 和 bb(0≤a,b≤2⋅1050 \le a, b \le 2 \cdot 10^5,且 a+b≥1a + b \ge 1)。

每组测试数据的第二行包含一个长度为 a+ba+b 的字符串 ss,该字符串仅由字符 '0'、'1' 和 '?' 组成。

保证所有测试数据中字符串 ss 的总长度不超过 2⋅1052 \cdot 10^5。

输出格式

For each test case, output:

  • "-1", if you can't replace all the characters '?' in the string ss by '0' or '1' so that the string becomes a palindrome and that it contains exactly aa characters '0' and exactly bb characters '1';
  • the string that is obtained as a result of the replacement, otherwise.

If there are several suitable ways to replace characters, you can output any.

对于每个测试用例,输出:

  • “-1”,如果你无法将字符串 ss 中的所有字符 '?' 替换为 '0' 或 '1',使得该字符串成为一个回文串,且恰好包含 aa 个字符 '0' 和恰好 bb 个字符 '1';
  • 否则,输出替换后得到的字符串。

如果存在多种合适的替换方式,你可以输出任意一种。

输入输出样例

  • 输入#1

    9
    4 4
    01?????0
    3 3
    ??????
    1 0
    ?
    2 2
    0101
    2 2
    01?0
    0 1
    0
    0 3
    1?1
    2 2
    ?00?
    4 3
    ??010?0

    输出#1

    01011010
    -1
    0
    -1
    0110
    -1
    111
    1001
    0101010

输入解题思路,AI测评打分。不知道怎么写?

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