#include <cstdio>
#include <algorithm>
using namespace std;
const int MAXN = 3010;
const long long MOD = 1000000007;
long long fwd[MAXN];
long long loop[MAXN];
long long paths[MAXN][MAXN];
int main() {
int n;
long long m;
scanf("%d%lld", &n, &m);
int states = min(n + 1, 2 * (int)m + 1);
for (int i = 0; i < states; i++) {
if (i % 2 == 0) {
fwd[i] = m - (i / 2);
loop[i] = (i / 2);
} else {
fwd[i] = (i / 2) + 1;
loop[i] = m - (i / 2) - 1;
}
}
paths[0][0] = 1;
for (int v = 1; v < states; v++) {
for (int k = 1; k <= n; k++) {
paths[v][k] = paths[v - 1][k - 1] * fwd[v - 1] + paths[v][k - 1] * loop[v];
paths[v][k] %= MOD;
}
}
long long out = 0;
for (int i = 0; i < states; i += 2) {
out += paths[i][n];
}
out %= MOD;
printf("%lld\n", out);
}
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 43 44 | #include <cstdio> #include <algorithm> using namespace std; const int MAXN = 3010; const long long MOD = 1000000007; long long fwd[MAXN]; long long loop[MAXN]; long long paths[MAXN][MAXN]; int main() { int n; long long m; scanf("%d%lld", &n, &m); int states = min(n + 1, 2 * (int)m + 1); for (int i = 0; i < states; i++) { if (i % 2 == 0) { fwd[i] = m - (i / 2); loop[i] = (i / 2); } else { fwd[i] = (i / 2) + 1; loop[i] = m - (i / 2) - 1; } } paths[0][0] = 1; for (int v = 1; v < states; v++) { for (int k = 1; k <= n; k++) { paths[v][k] = paths[v - 1][k - 1] * fwd[v - 1] + paths[v][k - 1] * loop[v]; paths[v][k] %= MOD; } } long long out = 0; for (int i = 0; i < states; i += 2) { out += paths[i][n]; } out %= MOD; printf("%lld\n", out); } |
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