好坑爹的一题,刚开始暴力DFS,果断超时。
其实可以做一个变形,i×j+i+j可以变形为i×(j+1)+j+1=n+1;进而可以变化为(i+1)×(j+1)=n;
即统计一下n%(i+1)==0可以出现多少次即可;
写这一题目是在Ubuntu的codeblocks交了不下十多次吧!总是wrong!
最后,不管了编译器,把long long怒改写成了__int64,ac了,无语啊!
至今仍然不知道why?


1 #include<stdio.h> 2 #include<math.h> 3 int main() 4 { 5 6 int t; 7 scanf("%d",&t); 8 while(t--) 9 { 10 __int64 n; 11 scanf("%I64d",&n); 12 n++; 13 __int64 i; 14 __int64 sum=0; 15 for(i=2;i*i<=n;i++) 16 if(n%i==0) 17 sum++; 18 printf("%I64d\n",sum); 19 20 } 21 return 0; 22 }
Problem Description
When Teddy was a child , he was always thinking about some simple math problems ,such as “What it’s 1 cup of water plus 1 pile of dough ..” , “100 yuan buy 100 pig” .etc..

One day Teddy met a old man in his dream , in that dream the man whose name was“RuLai” gave Teddy a problem :
Given an N , can you calculate how many ways to write N as i * j + i + j (0 < i <= j) ?
Teddy found the answer when N was less than 10…but if N get bigger , he found it was too difficult for him to solve.
Well , you clever ACMers ,could you help little Teddy to solve this problem and let him have a good dream ?

One day Teddy met a old man in his dream , in that dream the man whose name was“RuLai” gave Teddy a problem :
Given an N , can you calculate how many ways to write N as i * j + i + j (0 < i <= j) ?
Teddy found the answer when N was less than 10…but if N get bigger , he found it was too difficult for him to solve.
Well , you clever ACMers ,could you help little Teddy to solve this problem and let him have a good dream ?
Input
The first line contain a T(T <= 2000) . followed by T lines ,each line contain an integer N (0<=N <= 1010).
Output
For each case, output the number of ways in one line.
Sample Input
2
1
3
Sample Output
0
1