Light OJ 1109 - False Ordering

                                                           1109 - False Ordering

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Time Limit: 1 second(s)Memory Limit: 32 MB

We define b is a Divisor of a number a if a is divisible by b. So, the divisors of 12 are 1, 2, 3, 4, 6, 12. So, 12 has 6 divisors.

Now you have to order all the integers from 1 to 1000. x will come before y if

1)                  number of divisors of x is less than number of divisors of y

2)                  number of divisors of x is equal to number of divisors of y and x > y.

Input

Input starts with an integer T (≤ 1005), denoting the number of test cases.

Each case contains an integer n (1 ≤ n ≤ 1000).

Output

For each case, print the case number and the n^th number after ordering.

Sample Input

Output for Sample Input

5

1

2

3

4

1000

Case 1: 1

Case 2: 997

Case 3: 991

Case 4: 983

Case 5: 840

 

题解：

题意是找出1000以内所有整数的因子数，并按以下规则排列，并输出排列后的第n项。

1)                  number of divisors of x is less than number of divisors of y

2)                  number of divisors of x is equal to number of divisors of y and x > y.

其中找因子的方法我用了类似于找素数的方法，类似于筛法，然后再利用快排，写比较函数时按题目给出的规则来写，比较简单。

代码：

#include<stdio.h>#include<algorithm>#include<string.h>using namespace std;struct f{  int number;  int value;}a[1100];int cmp(f a,f b){  if(a.value<b.value)return 1;  else if(a.value>b.value)return 0;  else if(a.value==b.value)  {    if(a.number>b.number)return 1;    else return 0;  }}int main(){  for(int i=1;i<=1010;i++)  {    a[i].number=i;    a[i].value=0;  }  for(int i=1;i<=1010;i++)  {    for(int j=i;j<=1010;j+=i)    {      a[j].value++;    }  }  sort(a+1,a+1000+1,cmp);  /*for(int i=1;i<=10;i++)  {    printf("i=%d %d\n",i,a[i].number);  }*/  int t,x=1;  scanf("%d",&t);  while(t--)  {    int n;    scanf("%d",&n);    printf("Case %d: %d\n",x++,a[n].number);  }  return 0;}