#include <cstdio>
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;
#define f first
#define s second
const int MAXN = 1e7 + 13;
long long dp[2][MAXN];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
long long mod;
cin >> n >> m >> mod;
for (int i = 1; i <= m; i++)
dp[1][i] = i;
int pop = 0, akt = 1;
long long pref, sum, rsum, suf, J;
for (int i = 2; i <= n; i++) {
pop = 1 - pop;
akt = 1 - akt;
pref = sum = rsum = J = 0;
for (int j = 1; j <= m; j++) {
J++;
rsum += dp[pop][m - j + 1];
if (rsum >= mod)
rsum -= mod;
suf = (J * rsum) % mod;
dp[akt][j] = (suf - pref + mod) % mod;
sum += dp[pop][j];
if (sum >= mod)
sum -= mod;
pref += sum;
if (pref >= mod)
pref -= mod;
}
}
long long ans = 0;
for (int i = 1; i <= m; i++)
ans += dp[n % 2][i];
cout << ans % mod;
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 43 44 45 46 47 48 49 | #include <cstdio> #include <vector> #include <algorithm> #include <iostream> using namespace std; #define f first #define s second const int MAXN = 1e7 + 13; long long dp[2][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int n, m; long long mod; cin >> n >> m >> mod; for (int i = 1; i <= m; i++) dp[1][i] = i; int pop = 0, akt = 1; long long pref, sum, rsum, suf, J; for (int i = 2; i <= n; i++) { pop = 1 - pop; akt = 1 - akt; pref = sum = rsum = J = 0; for (int j = 1; j <= m; j++) { J++; rsum += dp[pop][m - j + 1]; if (rsum >= mod) rsum -= mod; suf = (J * rsum) % mod; dp[akt][j] = (suf - pref + mod) % mod; sum += dp[pop][j]; if (sum >= mod) sum -= mod; pref += sum; if (pref >= mod) pref -= mod; } } long long ans = 0; for (int i = 1; i <= m; i++) ans += dp[n % 2][i]; cout << ans % mod; return 0; } |
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