A. You Are Given Two Binary Strings…
A. You Are Given Two Binary Strings…
You are given two binary strings x and y, which are binary representations of some two integers (let’s denote these integers as f(x) and f(y)). You can choose any integer k≥0, calculate the expression sk=f(x)+f(y)⋅2k and write the binary representation of sk in reverse order (let’s denote it as revk). For example, let x=1010 and y=11; you’ve chosen k=1 and, since 21=102, so sk=10102+112⋅102=100002 and revk=00001.
For given x and y, you need to choose such k that revk is lexicographically minimal (read notes if you don’t know what does “lexicographically” means).
It’s guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1≤T≤100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 105 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 105 characters. Each character is either 0 or 1.
It’s guaranteed, that 1≤f(y)≤f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don’t have any leading zeroes, the total length of x over all queries doesn’t exceed 105, and the total length of y over all queries doesn’t exceed 105.
Output
Print T integers (one per query). For each query print such k that revk is lexicographically minimal.
Example
input
4
1010
11
10001
110
1
1
1010101010101
11110000
output
1
3
0
0
题意:给你两个二进制数字x,y,让你选择一个数字k,存在公式 sk = x + y * 2^k ,定义revk是sk的倒序,求能 使得revk字典序最小 的k值。
大佬的思路:https://blog.csdn.net/weixin_43334251/article/details/98940717
题目乍一看非常难懂的亚子,其实2^k有妙用,从二进制的角度来看,其实你选的k值是多少,就是让y左移多少位罢了。然后我们可以发现,其实只要让y串最后一个1(从左往右数),去对准x串中最近的一个1就好了。下面举一个例子:
输入x为10001, y为110,

我们可以看到y的最后一个1对准了x的0,由于我们的y串只能左移,也就是在后面加0。而y串最后一个1距离x串最近的一个1还差3距离,所以我们把y串左移3位,也就是k值取3可以得到下图:
这个时候通过公式得到的revk就是最小字典序了。
#include<iostream>
#include<string.h>
#include<string>
#include<algorithm>
#include<math.h>
#include<string>
#include<string.h>
#include<vector>
#include<utility>
#include<map>
#include<queue>
#include<set>
#define mx 0x3f3f3f3f
#define ll long long
using namespace std;
string s1,s2;
int main()
{
int n;
cin>>n;
while(n--)
{
cin>>s1>>s2;
int len1=s1.length();
int len2=s2.length();
int pos=;
for(int i=len2-;s2[i];i--)
{
pos++;
if(s2[i]=='')
break;
}
int cnt=;
for(int i=len1-pos;s1[i];i--)
{
if(s1[i]=='')
break;
cnt++;
}
cout<<cnt<<endl;
}
return ;
}
A. You Are Given Two Binary Strings…的更多相关文章
- [CC-BSTRLCP]Count Binary Strings
[CC-BSTRLCP]Count Binary Strings 题目大意: 对于一个长度为\(n\)的\(\texttt0/\texttt1\)串\(S\),如果存在一个切分\(i\),使得\(S_ ...
- Binary Strings Gym - 101161G 矩阵快速幂 + 打表
http://codeforces.com/gym/101161/attachments 这题通过打表,可以知道长度是i的时候的合法方案数. 然后得到f[1] = 2, f[2] = 3, f[3] ...
- codeforces gym #101161G - Binary Strings(矩阵快速幂,前缀斐波那契)
题目链接: http://codeforces.com/gym/101161/attachments 题意: $T$组数据 每组数据包含$L,R,K$ 计算$\sum_{k|n}^{}F(n)$ 定义 ...
- [LeetCode] 415 Add Strings && 67 Add Binary && 43 Multiply Strings
这些题目是高精度加法和高精度乘法相关的,复习了一下就做了,没想到难住自己的是C++里面string的用法. 原题地址: 415 Add Strings:https://leetcode.com/pro ...
- [LeetCode] Add Binary 二进制数相加
Given two binary strings, return their sum (also a binary string). For example,a = "11"b = ...
- 【leetcode】Add Binary
题目简述: Given two binary strings, return their sum (also a binary string). For example, a = "11&q ...
- leetcode解题:Add binary问题
顺便把之前做过的一个简单难度的题也贴上来吧 67. Add Binary Given two binary strings, return their sum (also a binary strin ...
- Leetcode Add Binary
Given two binary strings, return their sum (also a binary string). For example,a = "11"b = ...
- [LintCode] Add Binary 二进制数相加
Given two binary strings, return their sum (also a binary string). Have you met this question in a r ...
随机推荐
- Java 枚举(enum)的学习
Java 枚举(enum)的学习 本文转自:https://blog.csdn.net/javazejian/article/details/71333103 枚举的定义 在定义枚举类型时我们使用的关 ...
- 洛谷 P1043 数字游戏(区间dp)
题目链接:https://www.luogu.com.cn/problem/P1043 这道题与石子合并很类似,都是把一个环强制改成一个链,然后在链上做区间dp 要初始化出1~2n的前缀和,方便在O( ...
- 洛谷 P3865 【模板】ST表(模板)
嗯... 题目链接:https://www.luogu.com.cn/problem/P3865 ST(Sparse Table)算法,运用了倍增的思想. 我们令f[i][k]数组表示区间[i, i ...
- 【JavaWeb】Spring相关错误记录
Exception in thread "main" org.springframework.beans.factory.BeanDefinitionStoreException: ...
- Fluent_Python_Part3函数即对象,07-closure-decoration,闭包与装饰器
第7章 函数装饰器和闭包 装饰器用于在源码中"标记"函数,动态地增强函数的行为. 了解装饰器前提是理解闭包. 闭包除了在装饰器中有用以外,还是回调式编程和函数式编程风格的基础. 1 ...
- 吴裕雄 python 神经网络——TensorFlow训练神经网络:全模型
import tensorflow as tf from tensorflow.examples.tutorials.mnist import input_data INPUT_NODE = 784 ...
- C++11特性中的to_string
写在最前面,本文摘录于柳神笔记 to_string 的头⽂件是 #include , to_string 最常⽤的就是把⼀个 int 型变量或者⼀个数字转化 为 string 类型的变量,当然也可以转 ...
- Java面向对象编程 -1.4
对象内存分析 对象实例化操作初步分析 Java之中类属于引用数据类型,引用数据类型最大的困难之处在于要进行内存的管理,同时在进行操作的时候也会有内存关系的变化. 所以本次针对于之前的程序的内存关系进行 ...
- C++判断txt文件编码格式
转载:https://blog.csdn.net/kikityan/article/details/89923808 记事本打开txt文件,然后另存,有四种编码格式可供选择,分别是:ANSI ...
- 蓝牙/zigbee/nrr24xx
目前使用的短距离无线通信技术及标准主要有Bluetooth.WIFI.ZigBee.UWB.NRF24XX系列产品等.Nordic公司生产的单片集成射频无线收发器NRF24XX系列芯片具有低功耗.支持 ...