#C++初学记录（ACM8-6-cf-f题）

F. Vanya and Label

While walking down the street Vanya saw a label "Hide&Seek". Because he is a programmer, he used & as a bitwise AND for these two words represented as a integers in base 64 and got new word. Now Vanya thinks of some string s and wants to know the number of pairs of words of length |s| (length of s), such that their bitwise AND is equal to s. As this number can be large, output it modulo 1e9 + 7.

To represent the string as a number in numeral system with base 64 Vanya uses the following rules:

digits from '0' to '9' correspond to integers from 0 to 9;

letters from 'A' to 'Z' correspond to integers from 10 to 35;

letters from 'a' to 'z' correspond to integers from 36 to 61;

letter '-' correspond to integer 62;

letter '_' correspond to integer 63;

**Input**

The only line of the input contains a single word s (1 ≤ |s| ≤ 100 000), consisting of digits, lowercase and uppercase English letters, characters '-' and '_'.

**Output**

Print a single integer — the number of possible pairs of words, such that their bitwise AND is equal to string s modulo 1e9 + 7.

**
Examples
input**

z

**output**

3

**input**

V_V

**output**
9

**input**

Codeforces

**output**

130653412

**Note**

For a detailed definition of bitwise AND we recommend to take a look in the corresponding article in Wikipedia.

In the first sample, there are 3 possible solutions:

**

z&_ = 61&63 = 61 = z

_&z = 63&61 = 61 = z

z&z = 61&61 = 61 = z**

正确代码

#include<bits/stdc++.h>
using namespace std;
#define modd 1000000007
int main(){
	char a[100006];
	cin>>a;
	long long lena=strlen(a);
	long long ans=1;
	long long n;
	for(int i=0;i<lena;i++){

		n=0;

		if(a[i]>='0'&&a[i]<='9')
		n=a[i]-'0';

		if(a[i]>='A'&&a[i]<='Z')
		n=a[i]-'A'+10;

		if(a[i]>='a'&&a[i]<='z')
		n=a[i]-'a'+36;

		if(a[i]=='-')
		n=62;

		if(a[i]=='_')
		n=63;

		for(int j=0;j<6;j++){
			if(((n>>j)&1)==0){
				ans=(ans*3)%modd;
			}
		}
	}
	cout<<ans<<endl;
	return 0;
}

题目理解



给出一个字符串，字符串中可能含有1-9的数字，a-z的字母，A-Z的字母，然后将他们全部转化成题目给出的编码，得到编码后，通过程序进行判断有多少个字符组合通过AND（&）符运算后不会改变字符串中字符的编码。

相关知识点

本题完成需要读懂题目，判断字符串中编码不仅仅是将其化为ascll码，而是要根据题意进行初始编码后再进行化为二进制，其次二进制的判断是位移运算符与AND运算符结合完成的，具体代码为

		for(int j=0;j<6;j++){
			if(((n>>j)&1)==0){
				ans=(ans*3)%modd;
			}
		}

由题意得出最大代码为63的“_”，即不超过64位，因此二进制可以化为六位数正好小于2^6，到此代码编写与理解完成。