@Author: 张海拔
@Update: 2014-01-25
@Link: http://www.cnblogs.com/zhanghaiba/p/3533614.html
permutation1()可以输出[1, n]的全排列,通过实现这个函数回顾了一下回溯法。
permutation2()可以输出不可重集的全排列,主要是为了引出下一个函数。
permutation()可以输出可重复集合的全排列,功能完整。
三个函数均是独立可复用的,由于这个算法效率是指数级的,所以保存路径的path数组和vis标记数组可以放在递归函数中,同时设为static。
1 /* 2 *Author: ZhangHaiba 3 *Date: 2014-1-25 4 *File: full_permutation.c 5 * 6 *a demo shows how to print full permutaion of [1,n] and Repeatable Set(a sorted string) 7 */ 8 9 #include <stdio.h> 10 #include <string.h> 11 #define LEN 128 12 13 //show permutation of [1, n] 14 void permutation1(int step, int n); 15 16 //guarantee sorted string and have not repeating characters 17 void permutation2(int step, char *sorted_string, int string_len); 18 19 //guarantee sorted string 20 void permutation(int step, char *sorted_string, int string_len); 21 22 int main(void) 23 { 24 int n; 25 char str[LEN]; 26 27 scanf("%d", &n); 28 permutation1(0, n); 29 scanf("%s", str); 30 permutation2(0, str, strlen(str)); 31 scanf("%s", str); 32 permutation(0, str, strlen(str)); 33 return 0; 34 } 35 36 void permutation1(int step, int n) 37 { 38 static int path[LEN]; 39 static int vis[LEN]; 40 int i; 41 42 if (step == n) { 43 for (i = 0; i < n; ++i) 44 printf(i == n-1 ? "%d\n" : "%d", path[i]); 45 return; 46 } 47 for (i = 0; i < n; ++i) { 48 if (!vis[i]) { 49 path[step] = i+1; 50 vis[i] = 1; 51 permutation1(step+1, n); 52 vis[i] = 0; 53 } 54 } 55 } 56 57 void permutation2(int step, char *s, int n) 58 { 59 static char path[LEN]; 60 static int vis[LEN]; 61 char *p; 62 63 if (step == n) { 64 path[n] = ‘\0‘; 65 printf("%s\n", path); 66 return; 67 } 68 for (p = s; *p; ++p) { 69 if (!vis[*p]) { 70 path[step] = *p; 71 vis[*p] = 1; 72 permutation2(step+1, s, n); 73 vis[*p] = 0; 74 } 75 } 76 } 77 78 void permutation(int step, char *s, int n) 79 { 80 static char path[LEN]; 81 char *p; 82 int i, cnt1, cnt2; 83 84 if (step == n) { 85 path[n] = ‘\0‘; 86 printf("%s\n", path); 87 return; 88 } 89 for (p = s; *p; ++p) { 90 if ( p == s || *p != *(p-1) ) { //for each repeatless character 91 for (cnt1 = i = 0; i < step; ++i) 92 if (*p == path[i]) 93 cnt1++; //count *p in path 94 for (cnt2 = i = 0; i < n; ++i) 95 if (*p == s[i]) 96 cnt2++; //count *p in source string 97 if (cnt1 < cnt2) { 98 path[step] = *p; 99 permutation(step+1, s, n); 100 } 101 } 102 } 103 }