CF1204D1 Kirk and a Binary String (easy version)
题目描述
给你一个二进制字符串$s$,让你求出一个新的二进制字符串$t$,使其满足以下条件:
1. 新字符串的$0$的个数尽可能多。
1. 对于每个$l,r(1≤l≤r≤n)$,两个字符串的最长不下降子序列等长。
输入格式
一行,一个二进制字符串$s$。
输出格式
一行,满足条件的二进制字符串$t$。
说明/提示
In the first example:
- For the substrings of the length $ 1 $ the length of the longest non-decreasing subsequnce is $ 1 $ ;
- For $ l = 1, r = 2 $ the longest non-decreasing subsequnce of the substring $ s_{1}s_{2} $ is $ 11 $ and the longest non-decreasing subsequnce of the substring $ t_{1}t_{2} $ is $ 01 $ ;
- For $ l = 1, r = 3 $ the longest non-decreasing subsequnce of the substring $ s_{1}s_{3} $ is $ 11 $ and the longest non-decreasing subsequnce of the substring $ t_{1}t_{3} $ is $ 00 $ ;
- For $ l = 2, r = 3 $ the longest non-decreasing subsequnce of the substring $ s_{2}s_{3} $ is $ 1 $ and the longest non-decreasing subsequnce of the substring $ t_{2}t_{3} $ is $ 1 $ ;
The second example is similar to the first one.