HDU 4712：Hamming Distance

时间：2021-09-20 20:58:23

Hamming Distance

Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)

Total Submission(s): 1845    Accepted Submission(s): 740

Problem Description
(From wikipedia) For binary strings a and b the Hamming distance is equal to the number of ones in a XOR b. For calculating Hamming distance between two strings a and b, they must have equal length.

Now given N different binary strings, please calculate the minimum Hamming distance between every pair of strings.
 
Input
The first line of the input is an integer T, the number of test cases.(0<T<=20) Then T test case followed. The first line of each test case is an integer N (2<=N<=100000), the number of different binary strings. Then N lines followed, each of the next N line
is a string consist of five characters. Each character is '0'-'9' or 'A'-'F', it represents the hexadecimal code of the binary string. For example, the hexadecimal code "12345" represents binary string "00010010001101000101".
 
Output
For each test case, output the minimum Hamming distance between every pair of strings.
 
Sample Input
2
2
12345
54321
4
12345
6789A
BCDEF
0137F
 
Sample Output
6
7
 
Source
 

迷失在幽谷中的鸟儿，独自飞翔在这偌大的天地间，却不知自己该飞往何方……

题意：给出n个字符串，求每两个串相应位异或值的二进制中1的个数和的最小值！

例如：

12345

54321


一般的枚举会超时，因为我试过……，然后为了优化，给两个数字异或之后的值打表！然后，然后还是超时……
既然不能遍历每一种情况，那就随机吧！只要控制随机总次数，就可以控制时间长度，至于AC，那就靠运气啦！不过这样的随机总次数，一般都会AC……

#include <iostream>
#include <stdlib.h>
#include <string.h>
#include <time.h>
using namespace std;
int  cmp[16][16]= {0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0};;
char p[1000005][10];
int ddd(int q,int w)
{
    int a,b,s=0;
    for(int i=0; i<5; i++)
    {
        char x = p[q][i];
        char y = p[w][i];
        if(isdigit(x))a=x-'0';
        else a=x-'A'+10;
        if(isdigit(y))b=y-'0';
        else b=y-'A'+10;
        s += cmp[a][b];
    }
    return s;
}
int main()
{
    int T;
    cin>>T;
    while(T--)
    {
        int N;
        cin>>N;
        int minn=0xfffffff;
        for(int i=0; i<N; i++)
            cin>>p[i];
        srand((unsigned)time(NULL));
        for(int i=1; i<=100000; i++)
        {
            int a=rand()%N;
            int b=rand()%N;
            if(a==b)continue;
            int tmp=ddd(a,b);
            minn=tmp>minn?minn:tmp;
        }
        cout<<minn<<endl;
    }
    return 0;
}

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