来啦
2026-08-05 16:27:28
发布于:云南
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#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
// 大数加法
vector<int> add(vector<int> a, vector<int> b) {
vector<int> res;
int carry = 0;
int i = 0;
while (i < a.size() || i < b.size() || carry) {
int sum = carry;
if (i < a.size()) sum += a[i];
if (i < b.size()) sum += b[i];
res.push_back(sum % 10);
carry = sum / 10;
i++;
}
return res;
}
// 大数乘以整数
vector<int> mul(vector<int> a, int b) {
vector<int> res;
int carry = 0;
for (int i = 0; i < a.size() || carry; i++) {
int sum = carry;
if (i < a.size()) sum += a[i] * b;
res.push_back(sum % 10);
carry = sum / 10;
}
return res;
}
// 打印大数
void print(vector<int> v) {
for (int i = v.size() - 1; i >= 0; i--) {
cout << v[i];
}
cout << endl;
}
vector<int> stirling[105][105];
int main() {
// 预处理到 100
for (int i = 0; i <= 100; i++) {
for (int j = 0; j <= 100; j++) {
stirling[i][j].push_back(0);
}
}
stirling[0][0] = {1};
for (int n = 1; n <= 100; n++) {
for (int m = 1; m <= n; m++) {
// S(n,m) = m * S(n-1,m) + S(n-1,m-1)
stirling[n][m] = add(mul(stirling[n-1][m], m), stirling[n-1][m-1]);
}
}
int N, M;
while (cin >> N >> M) {
if (M > N || M == 0) {
cout << 0 << endl;
} else {
vector<int> res = stirling[N][M];
while (res.size() > 1 && res.back() == 0) res.pop_back();
print(res);
}
}
return 0;
}
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