HDU5916

Harmonic Value Description

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 287    Accepted Submission(s): 184
Special Judge

Problem Description

The harmonic value of the permutation p1,p2,⋯pn is

∑i=1n−1gcd(pi.pi+1)

Mr. Frog is wondering about the permutation whose harmonic value is the strictly k-th smallest among all the permutations of [n].

 

Input

The first line contains only one integer T (1≤T≤100), which indicates the number of test cases.

For each test case, there is only one line describing the given integers n and k (1≤2k≤n≤10000).

 

Output

For each test case, output one line “Case #x: p1 p2 ⋯ pn”, where x is the case number (starting from 1) and p1 p2 ⋯ pn is the answer.

 

Sample Input

2

4 1

4 2

 

Sample Output

Case #1: 4 1 3 2

Case #2: 2 4 1 3

 

Source

2016中国大学生程序设计竞赛（长春）-重现赛

 

求gcd值第k小的1到n的排列。

 //2016.10.08
 #include <iostream>
 #include <cstdio>
 #include <cstring>

 using namespace std;

 int main()
 {
     int T, n, k, kase = ;
     scanf("%d", &T);
     while(T--)
     {
         int tmp = -;
         scanf("%d%d", &n, &k);
         printf("Case #%d:", ++kase);
         if(k == ){
             for(int i = ; i <= n; i++)
                   printf(" %d", i);
         }else{
             if(k&){
                 printf(" %d %d", *k, k);
                 for(int i = ; i <= n; i++)
                 {
                     if(i == *k)continue;
                     if(i == k)printf("");
                     else printf(" %d", i);
                 }
             }else{
                 printf(" %d %d", *k, k);
                 for(int i = ; i <= n; i++)
                 {
                     if(i == k || i == *k)continue;
                     else printf(" %d", i);
                 }
             }
         }
         printf("\n");
     }

     return ;
 }