// Arti1990, II UWr
#include <bits/stdc++.h>
#define forr(i, n) for(int i=0; i<n; i++)
#define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter)
#define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter)
#define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;})
#define testy() int _tests; scanf("%d", &_tests); FOR(_test, 1, _tests)
#define CLEAR(tab) memset(tab, 0, sizeof(tab))
#define CONTAIN(el, coll) (coll.find(el) != coll.end())
#define FOR(i, a, b) for(int i=a; i<=b; i++)
#define FORD(i, a, b) for(int i=a; i>=b; i--)
#define MP make_pair
#define PB push_back
#define ff first
#define ss second
#define deb(X) X;
#define M 1000000007
#define INF 1000000007LL
using namespace std;
long long n, m;
long long DPO[3007][3007], DPZ[3007][3007];
int solve()
{
scanf("%lld %lld", &n, &m);
DPZ[0][0] = 1;
FOR(i, 1, n)
FOR(k, 1, i)
{
DPO[i][k] = (DPO[i-1][k]*(m-k) + DPZ[i-1][k-1]*(m-k+1)) % M;
DPZ[i][k] = (DPO[i-1][k] + DPZ[i-1][k])*k % M;
//cout << i << " " << k << ": DPZ = " << DPZ[i][k] << ", DPO: " << DPO[i][k] << endl;
}
long long res = 0;
FOR(k, 1, n)
res += DPZ[n][k];
res %= M;
printf("%lld\n", res);
return 0;
}
int main()
{
//testy()
solve();
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 | // Arti1990, II UWr #include <bits/stdc++.h> #define forr(i, n) for(int i=0; i<n; i++) #define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter) #define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter) #define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;}) #define testy() int _tests; scanf("%d", &_tests); FOR(_test, 1, _tests) #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define CONTAIN(el, coll) (coll.find(el) != coll.end()) #define FOR(i, a, b) for(int i=a; i<=b; i++) #define FORD(i, a, b) for(int i=a; i>=b; i--) #define MP make_pair #define PB push_back #define ff first #define ss second #define deb(X) X; #define M 1000000007 #define INF 1000000007LL using namespace std; long long n, m; long long DPO[3007][3007], DPZ[3007][3007]; int solve() { scanf("%lld %lld", &n, &m); DPZ[0][0] = 1; FOR(i, 1, n) FOR(k, 1, i) { DPO[i][k] = (DPO[i-1][k]*(m-k) + DPZ[i-1][k-1]*(m-k+1)) % M; DPZ[i][k] = (DPO[i-1][k] + DPZ[i-1][k])*k % M; //cout << i << " " << k << ": DPZ = " << DPZ[i][k] << ", DPO: " << DPO[i][k] << endl; } long long res = 0; FOR(k, 1, n) res += DPZ[n][k]; res %= M; printf("%lld\n", res); return 0; } int main() { //testy() solve(); return 0; } |
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