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.