next_permutation函数(全排列生成利器)
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题目大意:给出一个n和一个m,要求求出数列1,2,3……n
Now our hero finds the door to the BEelzebub feng5166. He opens the door and finds feng5166 is about to kill our pretty Princess. But now the BEelzebub has to beat our hero first. feng5166 says, "I have three question for you, if you can work them out, I will release the Princess, or you will be my dinner, too." Ignatius says confidently, "OK, at last, I will save the Princess."
"Now I will show you the first problem." feng5166 says, "Given a sequence of number 1 to N, we define that 1,2,3...N-1,N is the smallest sequence among all the sequence which can be composed with number 1 to N(each number can be and should be use only once in this problem). So it's easy to see the second smallest sequence is 1,2,3...N,N-1. Now I will give you two numbers, N and M. You should tell me the Mth smallest sequence which is composed with number 1 to N. It's easy, isn't is? Hahahahaha......"
Can you help Ignatius to solve this problem?
6 411 8
1 2 3 5 6 41 2 3 4 5 6 7 9 8 11 10
#include <iostream>#include <cstdio>#include <algorithm>using namespace std;int main(){ int n, m; int a[1010]; int flag; while(scanf("%d %d", &n, &m) != EOF) { flag = 0; for(int i = 1; i <= n; i ++) a[i] = i; int cnt = 0; do { cnt ++; if(cnt == m) { for(int i = 1; i <= n; i ++) { if(flag) printf(" "); flag ++; printf("%d", a[i]); } printf("\n"); break; } } while(next_permutation(a + 1, a + n + 1)); } return 0;}
next_permutation()是按照字典序产生排列的,并且是从数组中当前的字典序开始依次增大直至到最大字典序。
虽然最后一个排列没有下一个排列,用next_permutation会返回false,但是使用了这个方法后,序列会变成字典序列的第一个
hdu 1716
Ray又对数字的列产生了兴趣: 现有四张卡片,用这四张卡片能排列出很多不同的4位数,要求按从小到大的顺序输出这些4位数。
1 2 3 41 1 2 30 1 2 30 0 0 0
1234 1243 1324 1342 1423 14322134 2143 2314 2341 2413 24313124 3142 3214 3241 3412 34214123 4132 4213 4231 4312 43211123 1132 1213 1231 1312 13212113 2131 23113112 3121 32111023 1032 1203 1230 1302 13202013 2031 2103 2130 2301 23103012 3021 3102 3120 3201 3210
#include <iostream>#include <cstdio>#include <algorithm>using namespace std;int main(){ int a[5]; int flag1 = 0; while(scanf("%d %d %d %d", &a[1], &a[2], &a[3], &a[4]) != EOF) { if(a[1] == 0&&a[2] == 0&&a[3] == 0&&a[4] == 0) break; if(flag1) printf("\n"); flag1 ++; int flag = 0; int j = a[1]; do { if(a[1] == 0) continue; if(a[1] != j&&j != 0) { printf("\n"); flag = 0; } int tem = a[1]*10*10*10 + a[2]*10*10 +a[3]*10 + a[4]; if(flag) printf(" "); flag ++; printf("%d",tem); j = a[1]; }while(next_permutation(a + 1, a + 5)); printf("\n"); } return 0;}
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