#include<bits/stdc++.h>
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
#define st first
#define nd second
#define pb(x) push_back(x)
#define pp(x) pop_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
using namespace std;
///~~~~~~~~~~~~~~~~~~~~~~~~~~
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
///~~~~~~~~~~~~~~~~~~~~~~~~~
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int N=3005, INF=1e9+5, mod=1e9+7;
ll dp[N][N][2];
int main(){
BOOST;
int n, m;
cin>>n>>m;
dp[1][1][0]=m;
for(int i=1; i<=n; i++){
for(int j=1; j<=i; j++){
dp[i][j][0]%=mod;
dp[i][j][1]%=mod;
dp[i+1][j][0]+=((m-j)*1ll*dp[i][j][0])%mod;
dp[i+1][j+1][0]+=((m-j)*1ll*dp[i][j][1])%mod;
dp[i+1][j][1]+=(j*1ll*dp[i][j][0])%mod;
dp[i+1][j][1]+=(j*1ll*dp[i][j][1])%mod;
//deb(i, j, dp[i][j][0], dp[i][j][1]);
}
}
ll ans=0;
for(int i=1; i<=n; i++)ans+=dp[n][i][1];
cout<<ans%mod;
}
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 | #include<bits/stdc++.h> //#pragma GCC optimize("Ofast") //#pragma GCC optimize("trapv") #define st first #define nd second #define pb(x) push_back(x) #define pp(x) pop_back(x) #define mp(a, b) make_pair(a, b) #define all(x) (x).begin(), (x).end() #define rev(x) reverse(all(x)) #define sor(x) sort(all(x)) #define sz(x) (int)(x).size() #define rsz(x) resize(x) using namespace std; ///~~~~~~~~~~~~~~~~~~~~~~~~~~ void debug(){cerr<<"\n";} template <typename H, typename... T> void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);} #define deb(x...) cerr<<#x<<" = ";debug(x); ///~~~~~~~~~~~~~~~~~~~~~~~~~ typedef long long ll; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<pii > vii; typedef vector<ll> vl; typedef vector<pll> vll; typedef string str; #define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL); mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); const int N=3005, INF=1e9+5, mod=1e9+7; ll dp[N][N][2]; int main(){ BOOST; int n, m; cin>>n>>m; dp[1][1][0]=m; for(int i=1; i<=n; i++){ for(int j=1; j<=i; j++){ dp[i][j][0]%=mod; dp[i][j][1]%=mod; dp[i+1][j][0]+=((m-j)*1ll*dp[i][j][0])%mod; dp[i+1][j+1][0]+=((m-j)*1ll*dp[i][j][1])%mod; dp[i+1][j][1]+=(j*1ll*dp[i][j][0])%mod; dp[i+1][j][1]+=(j*1ll*dp[i][j][1])%mod; //deb(i, j, dp[i][j][0], dp[i][j][1]); } } ll ans=0; for(int i=1; i<=n; i++)ans+=dp[n][i][1]; cout<<ans%mod; } |
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