Codeforces Round-866-div.2 A + B

文章包含两道算法题目的解析。第一题'Yura’s New Name'要求通过插入字符使名字中的每个字符都属于至少一个微笑表情。第二题'JoJo’s Incredible Adventures'涉及寻找二进制字符串构成的最大全1矩形面积。解决方案包括贪心策略和二进制操作分析。

A. Yura’s New Name

Problem Contens(题目内容)

time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output

After holding one team contest, boy Yura got very tired and wanted to change his life and move to Japan. In honor of such a change, Yura changed his name to something nice.
Fascinated by this idea he already thought up a name s s s consisting only of characters “" and “^”. But there’s a problem — Yura likes smiley faces “_” and “^^”. Therefore any character of the name must be a part of at least one such smiley. Note that only the consecutive characters of the name can be a smiley face.
More formally, consider all occurrences of the strings “_” and “^^” in the string s s s. Then all such occurrences must cover the whole string s s s, possibly with intersections. For example, in the string "^__
^__” the characters at positions 3 , 4 , 9 , 10 3,4,9,10 3,4,9,10 and 11 11 11 are not contained inside any smileys, and the other characters at positions 1 , 2 , 5 , 6 , 7 1,2,5,6,7 1,2,5,6,7 and 8 8 8 are contained inside smileys.
In one operation Jura can insert one of the characters “_” and “^” into his name s s s (you can insert it at any position in the string). He asks you to tell him the minimum number of operations you need to do to make the name fit Yura’s criteria.

Input
Each test consists of multiple test cases. The first line contains a single integer t t t ( 1 ≤ t ≤ 100 1 \le t \le 100 1t100) —the number of test cases. The description of test cases follows.

The first and only line of each test case contains a single string s s

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