HDU 2609 How many （最大最小表示法）

How many

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2184    Accepted Submission(s): 904

Problem Description

Give you n ( n < 10000) necklaces ,the length of necklace will not large than 100,tell me
How many kinds of necklaces total have.(if two necklaces can equal by rotating ,we say the two necklaces are some).
For example 0110 express a necklace, you can rotate it. 0110 -> 1100 -> 1001 -> 0011->0110.

 

 

Input

The input contains multiple test cases.
Each test case include: first one integers n. (2<=n<=10000)
Next n lines follow. Each line has a equal length character string. (string only include '0','1').

 

 

Output

For each test case output a integer , how many different necklaces.

 

 

Sample Input

4 0110 1100 1001 0011 4 1010 0101 1000 0001

 

 

Sample Output

1 2

 

用最小表示法返回字符串能旋转的最小的字典序。set记录一下数一数就好了。最大表示法和最小表示法基本上一样，就是判断的语句换了一下。

 

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <iostream>
#include <set>
using namespace std;
const int maxn = 1e4 + 10;
char s[maxn][110];
int len;
set<string> st;

int GetMin(int id) {
    int i = 0, j = 1, k = 0;
    while(i < len && j < len && k < len) {
        int t = s[id][(i + k) % len] - s[id][(j + k) % len];
        if(!t) k++;
        else {
            if(t < 0) j = j + k + 1;
            else i = i + k + 1;
            if(i == j) j++;
            k = 0;
        }
    }
    return min(i, j);
}

/*int getMax() {
    int i = 0, j = 1, k = 0;
    while(i < len && j < len && k < len) {
        int t = s[(i + k) % len] - s[(j + k) % len];
        if(!t) k++;
        else {
            if(t > 0) j = j + k + 1;
            else i = i + k + 1;
            if(i == j) j++;
            k = 0;
        }
    }
    return min(i, j);
}*/

int main() {
    int n;
    while(~scanf("%d", &n)) {
        st.clear();
        for(int i = 1; i <= n; i++) {
            scanf("%s", s[i]);
        }
        for(int i = 1; i <= n; i++) {
            string tmp;
            len = strlen(s[i]);
            int Min = GetMin(i);
            for(int j = 0; j < len; j++) {
                tmp += s[i][(Min + j) % len];
            }
            //if(!st[tmp])
                st.insert(tmp);
        }
        cout << st.size() << endl;
    }
}