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HDU:1027 Ignatius and the Princess II

2019-11-06 06:26:48
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Ignatius and the PRincess II

Time Limit: 2000/1000 MS (java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 7791    Accepted Submission(s): 4601题目链接Problem DescriptionNow 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? InputThe input contains several test cases. Each test case consists of two numbers, N and M(1<=N<=1000, 1<=M<=10000). You may assume that there is always a sequence satisfied the BEelzebub's demand. The input is terminated by the end of file. OutputFor each test case, you only have to output the sequence satisfied the BEelzebub's demand. When output a sequence, you should print a space between two numbers, but do not output any spaces after the last number. Sample Input
6 411 8 Sample Output
1 2 3 5 6 41 2 3 4 5 6 7 9 8 11 10解题思路:题目意思就是给出一个数N,则它有一个序列1~N,求它全排列的第M小数。例如第一组测试数据6 4第一小全排列    1 2 3 4 5 6第二小全排列    1 2 3 4 6 5第三小全排列    1 2 3 5 4 6第四小全排列    1 2 3 5 6 4则答案就是1 2 3 5 6 4只要读懂了题目的意思,就不要担心了。因为STL中有一个求全排列的函数可以帮我们解决这个问题。头文件algorithm中包含一个函数next_permutation可以求全排列,那么这个题就变得非常简单了,加上头文件,然后直接调用函数就可以了。
#include <iostream>#include <stdio.h>#include <string.h>#include <algorithm>#include <queue>#include <string>using namespace std;int a[100000];int main(){    int m,n,i;    while(~scanf("%d%d",&m,&n))    {        for(i = 0; i < m; i++)            a[i]=i+1;        n = n-1;  //第一个数是第一个排列数        while(n--)        {            next_permutation(a,a+m);        }        printf("%d",a[0]);        for(i = 1; i < m; i++)            printf(" %d",a[i]);        printf("/n");    }    return 0;} 
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