HDU2609 How many —— 最小表示法
题目链接:https://vjudge.net/problem/HDU-2609
How many
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 3272 Accepted Submission(s): 1457
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.
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').
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
Author
yifenfei
Source
Recommend
yifenfei
题解:
1.求出每个字符串的最小表示法。
2.对所有字符串的最小表示进行排序,然后统计。
代码如下:
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cstdlib> 5 #include <string> 6 #include <vector> 7 #include <map> 8 #include <set> 9 #include <queue> 10 #include <sstream> 11 #include <algorithm> 12 using namespace std; 13 typedef long long LL; 14 const double eps = 1e-6; 15 const int INF = 2e9; 16 const LL LNF = 9e18; 17 const int MAXN = 1e4+10; 18 19 char s[MAXN][110], tmp[110]; 20 21 int cmp(const void *a,const void *b) 22 { 23 return (strcmp((char*)a,(char*)b)); 24 } 25 26 int getmin(char *s, int len) //返回最小表示法的始端 27 { 28 int i = 0, j = 1, k = 0; 29 while(i<len && j<len && k<len) 30 { 31 int t = s[(i+k)%len]-s[(j+k)%len]; 32 if (!t) k++; 33 else 34 { 35 if (t>0) i += k+1; 36 else j += k+1; 37 if (i==j) j++; 38 k = 0; 39 } 40 } 41 return i<j?i:j; 42 } 43 44 int main() 45 { 46 int n; 47 while(scanf("%d", &n)!=EOF) 48 { 49 for(int i = 1; i<=n; i++) 50 { 51 scanf("%s", tmp); 52 int len = strlen(tmp); 53 int k = getmin(tmp, len); 54 for(int j = 0; j<len; j++) 55 s[i][j] = tmp[(k+j)%len]; 56 s[i][len] = 0; //!! 57 } 58 qsort(s+1, n, sizeof(s[1]), cmp); 59 60 int ans = 0; 61 for(int i = 1; i<=n; i++) 62 if(i==1 || strcmp(s[i], s[i-1])) 63 ans++; 64 65 printf("%d\n", ans); 66 } 67 }