poj 2229

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Sumsets
Time Limit: 2000MS Memory Limit: 200000KTotal Submissions: 6980 Accepted: 2763

Description

Farmer John commanded his cows to search for different sets of numbers that sum to a given number. The cows use only numbers that are an integer power of 2. Here are the possible sets of numbers that sum to 7:

1) 1+1+1+1+1+1+1
2) 1+1+1+1+1+2
3) 1+1+1+2+2
4) 1+1+1+4
5) 1+2+2+2
6) 1+2+4

Help FJ count all possible representations for a given integer N (1 <= N <= 1,000,000).

Input

A single line with a single integer, N.

Output

The number of ways to represent N as the indicated sum. Due to the potential huge size of this number, print only last 9 digits (in base 10 representation).

Sample Input

7

Sample Output

6

Source

USACO 2005 January Silver
难得写次递归,vs2008居然爆掉了》Stack overflow》,郁闷了下
据说是栈溢出,不清楚是什么情况
#include<stdio.h>#include<stdlib.h>#include<string.h>#include<math.h>int f[1000002];int find(int num){if(f[num])return f[num];if(num==0)return 0;if(num%2==0)f[num]=(find(num-2)+find(num/2))%1000000000;else if(num%2==1)f[num]=find(num-1)%1000000000;return f[num];}int main(){int n;memset(f,0,sizeof(f));f[1]=1;f[2]=2;while(scanf("%d",&n)!=EOF){printf("%d/n",find(n));}return 0;}
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