#include <bits/stdc++.h>
using namespace std;
#define REP(i,a,b) for (int i = (a); i <= (b); ++i)
#define REPD(i,a,b) for (int i = (a); i >= (b); --i)
#define FORI(i,n) REP(i,1,n)
#define FOR(i,n) REP(i,0,int(n)-1)
#define mp make_pair
#define pb push_back
#define pii pair<int,int>
#define vi vector<int>
#define ll long long
#define SZ(x) int((x).size())
#define DBG(v) cerr << #v << " = " << (v) << endl;
#define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++)
#define fi first
#define se second
const int N = 3030;
const int mod = 1000000007;
int n,m;
int dop[N], dcl[N];
int main() {
scanf("%d%d", &n, &m);
dop[0] = 1;
int res = 0;
for (int k = 1; k <= n && k <= m; k++) {
for (int i = 1; i <= n; i++) {
dcl[i] = (1LL * (m-k) * dcl[i-1] + 1LL * (m-k+1) * dop[i-1]) % mod;
}
dop[0] = 0;
for (int i = 1; i <= n; i++) {
dop[i] = (1LL * k * dcl[i-1] + 1LL * k * dop[i-1]) % mod;
}
res = (res + dop[n]) % mod;
}
printf("%d\n", res);
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 | #include <bits/stdc++.h> using namespace std; #define REP(i,a,b) for (int i = (a); i <= (b); ++i) #define REPD(i,a,b) for (int i = (a); i >= (b); --i) #define FORI(i,n) REP(i,1,n) #define FOR(i,n) REP(i,0,int(n)-1) #define mp make_pair #define pb push_back #define pii pair<int,int> #define vi vector<int> #define ll long long #define SZ(x) int((x).size()) #define DBG(v) cerr << #v << " = " << (v) << endl; #define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++) #define fi first #define se second const int N = 3030; const int mod = 1000000007; int n,m; int dop[N], dcl[N]; int main() { scanf("%d%d", &n, &m); dop[0] = 1; int res = 0; for (int k = 1; k <= n && k <= m; k++) { for (int i = 1; i <= n; i++) { dcl[i] = (1LL * (m-k) * dcl[i-1] + 1LL * (m-k+1) * dop[i-1]) % mod; } dop[0] = 0; for (int i = 1; i <= n; i++) { dop[i] = (1LL * k * dcl[i-1] + 1LL * k * dop[i-1]) % mod; } res = (res + dop[n]) % mod; } printf("%d\n", res); return 0; } |
English