#include <bits/stdc++.h>
#pragma GCC optimize(-O3)
#pragma GCC optimize(Ofast)
#pragma GCC optimize("unroll-loops")
#define fi first
#define se second
#define p_b push_back
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define all(x) x.begin(),x.end()
#define sset ordered_set
#define sqr(x) (x)*(x)
#define pw(x) (1ll << (x))
#define sz(x) (int)x.size()
#define fout(x) {cout << x << "\n"; return; }
using namespace std;
typedef long long ll;
typedef long double ld;
const int MAXN = 1e5;
const int M = pw(16);
const long long mod = 1e9 + 7;
const int N = 2e5;
const int inf = 1e9;
template <typename T> void vout(T s){cout << s << endl;exit(0);}
ll dp[3100][3100];
ll r[3100];
void u(ll &a, ll b){
a += b;
if(a >= mod) a -= mod;
}
ll mul(ll a, ll b){
return (a * b) % mod;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
ll n, m;
cin >> n >> m;
if(n == 1) vout(0);
dp[1][1] = m;
for(int i = 2; i < n; i++){
for(int j = 1; j < i; j++){
u(dp[i][j], mul(dp[i - 1][j], m - j));
u(dp[i][j + 1], mul(r[j], m - j));
r[j] = mul(r[j], j);
u(r[j], mul(dp[i - 1][j], j));
}
}
ll ans = 0;
for(int j = 0; j <= n; j++){
u(ans, mul(dp[n - 1][j], j));
u(ans, mul(r[j], j));
}
cout << ans << "\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 68 69 70 71 72 73 74 | #include <bits/stdc++.h> #pragma GCC optimize(-O3) #pragma GCC optimize(Ofast) #pragma GCC optimize("unroll-loops") #define fi first #define se second #define p_b push_back #define pll pair<ll,ll> #define pii pair<int,int> #define m_p make_pair #define all(x) x.begin(),x.end() #define sset ordered_set #define sqr(x) (x)*(x) #define pw(x) (1ll << (x)) #define sz(x) (int)x.size() #define fout(x) {cout << x << "\n"; return; } using namespace std; typedef long long ll; typedef long double ld; const int MAXN = 1e5; const int M = pw(16); const long long mod = 1e9 + 7; const int N = 2e5; const int inf = 1e9; template <typename T> void vout(T s){cout << s << endl;exit(0);} ll dp[3100][3100]; ll r[3100]; void u(ll &a, ll b){ a += b; if(a >= mod) a -= mod; } ll mul(ll a, ll b){ return (a * b) % mod; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); ll n, m; cin >> n >> m; if(n == 1) vout(0); dp[1][1] = m; for(int i = 2; i < n; i++){ for(int j = 1; j < i; j++){ u(dp[i][j], mul(dp[i - 1][j], m - j)); u(dp[i][j + 1], mul(r[j], m - j)); r[j] = mul(r[j], j); u(r[j], mul(dp[i - 1][j], j)); } } ll ans = 0; for(int j = 0; j <= n; j++){ u(ans, mul(dp[n - 1][j], j)); u(ans, mul(r[j], j)); } cout << ans << "\n"; return 0; } |
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