307814: CF1421C. Palindromifier

Memory Limit:256 MB Time Limit:1 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

Palindromifier

题意翻译

输入一个字符串S ($ 3<=|S|<=10^5$),有两种操作: L i:将当前字符串的$S_2,...S_i$复制到序列前面并翻转(也就是把前i个字符对第一个字符做对称),如原串:abcdef,经过L 3后变为cbabcdef,注意2<=i<=n-1即不能直接选最后一个位置 R i:同L i,但改为向后对称 现在让你构造一个操作序列,是操作后序列变为回文串,操作次数不超过30次,最终长度不能超过$10^6$,多解输出任意一个即可

题目描述

Ringo found a string $ s $ of length $ n $ in his [yellow submarine](https://www.youtube.com/watch?v=m2uTFF_3MaA). The string contains only lowercase letters from the English alphabet. As Ringo and his friends love palindromes, he would like to turn the string $ s $ into a palindrome by applying two types of operations to the string. The first operation allows him to choose $ i $ ( $ 2 \le i \le n-1 $ ) and to append the substring $ s_2s_3 \ldots s_i $ ( $ i - 1 $ characters) reversed to the front of $ s $ . The second operation allows him to choose $ i $ ( $ 2 \le i \le n-1 $ ) and to append the substring $ s_i s_{i + 1}\ldots s_{n - 1} $ ( $ n - i $ characters) reversed to the end of $ s $ . Note that characters in the string in this problem are indexed from $ 1 $ . For example suppose $ s= $ abcdef. If he performs the first operation with $ i=3 $ then he appends cb to the front of $ s $ and the result will be cbabcdef. Performing the second operation on the resulted string with $ i=5 $ will yield cbabcdefedc. Your task is to help Ringo make the entire string a palindrome by applying any of the two operations (in total) at most $ 30 $ times. The length of the resulting palindrome must not exceed $ 10^6 $ It is guaranteed that under these constraints there always is a solution. Also note you do not have to minimize neither the number of operations applied, nor the length of the resulting string, but they have to fit into the constraints.

输入输出格式

输入格式


The only line contains the string $ S $ ( $ 3 \le |s| \le 10^5 $ ) of lowercase letters from the English alphabet.

输出格式


The first line should contain $ k $ ( $ 0\le k \le 30 $ ) — the number of operations performed. Each of the following $ k $ lines should describe an operation in form L i or R i. $ L $ represents the first operation, $ R $ represents the second operation, $ i $ represents the index chosen. The length of the resulting palindrome must not exceed $ 10^6 $ .

输入输出样例

输入样例 #1

abac

输出样例 #1

2
R 2
R 5

输入样例 #2

acccc

输出样例 #2

2
L 4
L 2

输入样例 #3

hannah

输出样例 #3

0

说明

For the first example the following operations are performed: abac $ \to $ abacab $ \to $ abacaba The second sample performs the following operations: acccc $ \to $ cccacccc $ \to $ ccccacccc The third example is already a palindrome so no operations are required.

Input

题意翻译

输入一个字符串S ($ 3<=|S|<=10^5$),有两种操作: L i:将当前字符串的$S_2,...S_i$复制到序列前面并翻转(也就是把前i个字符对第一个字符做对称),如原串:abcdef,经过L 3后变为cbabcdef,注意2<=i<=n-1即不能直接选最后一个位置 R i:同L i,但改为向后对称 现在让你构造一个操作序列,是操作后序列变为回文串,操作次数不超过30次,最终长度不能超过$10^6$,多解输出任意一个即可

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