HDU2069(二维母函数)

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题意是5种面值为1,5,10,25,50的硬币组成n块钱有多少种方法。

有两个坑点:硬币总数不能超过100个,规定n=0时输出1。

加一维硬币总数就行。

#include <cstdio>#include <cstring>#include <iostream>#include <algorithm>using namespace std;#define maxn 333#define maxm 1111111long long a[maxn][111], b[maxn][111];int n;int c[11];int main () {    c[1] = 1, c[2] = 5, c[3] = 10, c[4] = 25, c[5] = 50;        memset (a, 0, sizeof a);        for (int i = 0; i < maxn && i <= 100; i++)            a[i][i] = 1;        for (int i = 2; i <= 5; i++) {            memset (b, 0, sizeof b);            for (int j = 0; j < maxn && j <= c[i]*100; j += c[i]) {                for (int k = 0; k+j < maxn; k++) {                    for (int l = j/c[i]; l <= 100; l++)                        b[j+k][l] += a[k][l-j/c[i]];                }            }            for (int j = 0; j < maxn; j++)                for (int k = 0; k <= 100; k++)                    a[j][k] = b[j][k];        }    while (cin >> n) {        if (n == 0) {            cout << "1" << endl;            continue;        }        int ans = 0;        for (int i = 1; i <= 100; i++)            ans += a[n][i];        cout << ans << endl;    }    return 0;}


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