hdu 1398 整数划分变形 (母函数)

有1,4,9,16,25.....2^17这么多面值的硬币,问任意给定一个不大于300的正整数面额,用这些硬币来组成此面额总共有多少种组合种数

比如10
全1
4 + 6个 1
4+4+1+1
9+1

求(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)(1+x^4+x^8)(1+x^9)中
x^10的系数即可

只是把模板的 i<=n改成了i*i<=n,
在k遍历指数时把k=k+i变成了k=k+i*i


Sample Input
2
10
30
0

Sample Output
1
4
27

 

 1 # include <iostream>
 2 # include <cstdio>
 3 # include <cstring>
 4 # include <algorithm>
 5 # include <string>
 6 # include <cmath>
 7 # include <queue>
 8 # include <list>
 9 # define LL long long
10 using namespace std ;
11 
12 int c1[10010], c2[10010] ;
13 int main()
14 {
15     //freopen("in.txt","r",stdin) ;
16     int n;
17     int i, j, k;
18     while(cin >> n)
19     {
20         if (n == 0)
21             break ;
22         for(i=0; i<=n; ++i)
23         {
24             c1[i] = 1;
25             c2[i] = 0;
26         }
27         for(i=2; i*i<=n; ++i)
28         {
29 
30             for(j=0; j<=n; ++j)
31                 for(k=0; k+j<=n; k += i*i)
32                 {
33                     c2[j+k] += c1[j];
34                 }
35                 for(j=0; j<=n; ++j)
36                 {
37                     c1[j] = c2[j];
38                     c2[j] = 0;
39                 }
40         }
41         cout << c1[n] << endl;
42     }
43     return 0;
44 }
View Code

 

posted @ 2015-09-22 22:09  __Meng  阅读(230)  评论(0编辑  收藏  举报