/* -----------------------
Autor: Tomasz Boguslawski
-------------------------- */
#include<cstdio>
#include<cstdlib>
#include<iostream>
#include<fstream>
#include<iomanip>
#include<string>
#include<sstream>
#include<cstring>
#include<map>
#include<vector>
#include<set>
#include<queue>
#include<algorithm>
#include <fstream>
#include<math.h>
#define LL long long
#define FOR(x, b, e) for(LL x = b; x <= (e); x++)
#define FORD(x, b, e) for(LL x = b; x >= (e); x--)
#define VAR(v, n) __typeof(n) v = (n)
#define ALL(c) (c).begin(), (c).end()
#define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define DEBUG if (debug)
#define MIN(a,b) ((a>b)?b:a)
#define MAX(a,b) ((a>b)?a:b)
using namespace std;
long n; long m;
LL q = 1000000007;
LL A[3010][3010];
LL B[3010][3010];
LL policz()
{
FOR(d,0,n) FOR(k,0,n) { A[d][k]=0; B[d][k]=0; };
A[1][1]=0; B[1][1]=m;
FOR(d,2,n)
{
LL mp = d; if (m<d) mp=m;
FOR(k,1,mp)
{
A[d][k] = ( k * (A[d-1][k] + B[d-1][k]) ) % q;
B[d][k] = ( (m-k+1)*A[d-1][k-1] + (m-k)*B[d-1][k] ) % q;
}
}
LL res=0;
LL mp = n; if (m<mp) mp=m;
FOR(k,1,mp) res = (res + A[n][k]) % q;
return res;
}
int main(int argc, char* argv[])
{
// magic formula, which makes streams work faster:
ios_base::sync_with_stdio(0);
cin >> n; cin >> m;
cout << policz() << "\n";
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 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 | /* ----------------------- Autor: Tomasz Boguslawski -------------------------- */ #include<cstdio> #include<cstdlib> #include<iostream> #include<fstream> #include<iomanip> #include<string> #include<sstream> #include<cstring> #include<map> #include<vector> #include<set> #include<queue> #include<algorithm> #include <fstream> #include<math.h> #define LL long long #define FOR(x, b, e) for(LL x = b; x <= (e); x++) #define FORD(x, b, e) for(LL x = b; x >= (e); x--) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define DEBUG if (debug) #define MIN(a,b) ((a>b)?b:a) #define MAX(a,b) ((a>b)?a:b) using namespace std; long n; long m; LL q = 1000000007; LL A[3010][3010]; LL B[3010][3010]; LL policz() { FOR(d,0,n) FOR(k,0,n) { A[d][k]=0; B[d][k]=0; }; A[1][1]=0; B[1][1]=m; FOR(d,2,n) { LL mp = d; if (m<d) mp=m; FOR(k,1,mp) { A[d][k] = ( k * (A[d-1][k] + B[d-1][k]) ) % q; B[d][k] = ( (m-k+1)*A[d-1][k-1] + (m-k)*B[d-1][k] ) % q; } } LL res=0; LL mp = n; if (m<mp) mp=m; FOR(k,1,mp) res = (res + A[n][k]) % q; return res; } int main(int argc, char* argv[]) { // magic formula, which makes streams work faster: ios_base::sync_with_stdio(0); cin >> n; cin >> m; cout << policz() << "\n"; return 0; }; |
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