#include <bits/stdc++.h>
#include <math.h>
using namespace std;
#define endl "\n"
#define mp make_pair
#define st first
#define nd second
#define pii pair<int, int>
#define pb push_back
#define _upgrade ios_base::sync_with_stdio(0), cout.setf(ios::fixed), cout.precision(10), cin.tie(0), cout.tie(0);
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define fwd(i, a, b) for (int i = (a); i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(c) (c).begin(), (c).end()
#define sz(X) (int)((X).size())
typedef long double ld;
typedef unsigned long long ull;
typedef long long ll;
#ifdef LOCAL
ostream &operator<<(ostream &out, string str) {
for (char c : str)
out << c;
return out;
}
template <class L, class R> ostream &operator<<(ostream &out, pair<L, R> p) { return out << "(" << p.st << ", " << p.nd << ")"; }
template <class L, class R, class S> ostream &operator<<(ostream &out, tuple<L, R, S> p) {
auto &[a, b, c] = p;
return out << "(" << a << ", " << b << ", " << c << ")";
}
template <class T> auto operator<<(ostream &out, T a) -> decltype(a.begin(), out) {
out << '{';
for (auto it = a.begin(); it != a.end(); it = next(it))
out << (it != a.begin() ? ", " : "") << *it;
return out << '}';
}
void dump() { cerr << "\n"; }
template <class T, class... Ts> void dump(T a, Ts... x) {
cerr << a << ", ";
dump(x...);
}
#define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#define debug(...) 42
#endif
#define int long long
const int mod = 1e9 + 7;
const int MAXN = 3e3 + 2;
typedef array<array<int, MAXN + 2>, 2> Arr;
int32_t main() {
_upgrade;
int n, m;
cin >> n >> m;
Arr tab = {};
tab[1][0] = 1;
rep(i, n) {
Arr cur = {};
rep(j, MAXN) {
// biore dobry
cur[1][j] += (tab[0][j] + tab[1][j]) * j;
// biore zly
cur[0][j] += tab[0][j] * (m - j);
cur[0][j + 1] += tab[1][j] * (m - j);
}
rep(j, MAXN) cur[0][j] %= mod, cur[1][j] %= mod;
swap(cur, tab);
}
int res = accumulate(all(tab[1]), 0ll) % mod;
cout << res << endl;
}
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> #include <math.h> using namespace std; #define endl "\n" #define mp make_pair #define st first #define nd second #define pii pair<int, int> #define pb push_back #define _upgrade ios_base::sync_with_stdio(0), cout.setf(ios::fixed), cout.precision(10), cin.tie(0), cout.tie(0); #define rep(i, n) for (int i = 0; i < (n); ++i) #define fwd(i, a, b) for (int i = (a); i < (b); ++i) #define trav(a, x) for (auto &a : x) #define all(c) (c).begin(), (c).end() #define sz(X) (int)((X).size()) typedef long double ld; typedef unsigned long long ull; typedef long long ll; #ifdef LOCAL ostream &operator<<(ostream &out, string str) { for (char c : str) out << c; return out; } template <class L, class R> ostream &operator<<(ostream &out, pair<L, R> p) { return out << "(" << p.st << ", " << p.nd << ")"; } template <class L, class R, class S> ostream &operator<<(ostream &out, tuple<L, R, S> p) { auto &[a, b, c] = p; return out << "(" << a << ", " << b << ", " << c << ")"; } template <class T> auto operator<<(ostream &out, T a) -> decltype(a.begin(), out) { out << '{'; for (auto it = a.begin(); it != a.end(); it = next(it)) out << (it != a.begin() ? ", " : "") << *it; return out << '}'; } void dump() { cerr << "\n"; } template <class T, class... Ts> void dump(T a, Ts... x) { cerr << a << ", "; dump(x...); } #define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__) #else #define debug(...) 42 #endif #define int long long const int mod = 1e9 + 7; const int MAXN = 3e3 + 2; typedef array<array<int, MAXN + 2>, 2> Arr; int32_t main() { _upgrade; int n, m; cin >> n >> m; Arr tab = {}; tab[1][0] = 1; rep(i, n) { Arr cur = {}; rep(j, MAXN) { // biore dobry cur[1][j] += (tab[0][j] + tab[1][j]) * j; // biore zly cur[0][j] += tab[0][j] * (m - j); cur[0][j + 1] += tab[1][j] * (m - j); } rep(j, MAXN) cur[0][j] %= mod, cur[1][j] %= mod; swap(cur, tab); } int res = accumulate(all(tab[1]), 0ll) % mod; cout << res << endl; } |
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