#include <cstdio>
#include <vector>
#include <string>
#include <algorithm>
using namespace std;
int Q = (int(1e9)) + 7;
void add(int& x, int y) {
x += y;
if (x > Q) x -= Q;
}
int mn(long long x, int y) {
return x * y % Q;
}
const int M = 3013;
int d[M][M], z[M][M];
int main() {
int n, m;
scanf("%d %d", &n,&m);
d[0][0] = 1;
for (int i = 0; i < n; i++)
for (int w = 0; w <= i && w <= m; w++) {
// printf("d[%d][%d]= %d z = %d\n",i,w,d[i][w],z[i][w]);
add(d[i+1][w], mn(d[i][w], w));
add(z[i+1][w+1], mn(d[i][w], m-w));
add(d[i+1][w], mn(z[i][w], w));
add(z[i+1][w], mn(z[i][w], m-w));
}
int s = 0;
for (int w = 0; w <= n && w <= m; w++) {
// printf("d[%d][%d]= %d z = %d\n",n,w,d[n][w],z[n][w]);
add(s, d[n][w]);
}
printf("%d\n", s);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 | #include <cstdio> #include <vector> #include <string> #include <algorithm> using namespace std; int Q = (int(1e9)) + 7; void add(int& x, int y) { x += y; if (x > Q) x -= Q; } int mn(long long x, int y) { return x * y % Q; } const int M = 3013; int d[M][M], z[M][M]; int main() { int n, m; scanf("%d %d", &n,&m); d[0][0] = 1; for (int i = 0; i < n; i++) for (int w = 0; w <= i && w <= m; w++) { // printf("d[%d][%d]= %d z = %d\n",i,w,d[i][w],z[i][w]); add(d[i+1][w], mn(d[i][w], w)); add(z[i+1][w+1], mn(d[i][w], m-w)); add(d[i+1][w], mn(z[i][w], w)); add(z[i+1][w], mn(z[i][w], m-w)); } int s = 0; for (int w = 0; w <= n && w <= m; w++) { // printf("d[%d][%d]= %d z = %d\n",n,w,d[n][w],z[n][w]); add(s, d[n][w]); } printf("%d\n", s); return 0; } |
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