#pragma GCC optimize ("Ofast")
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define FOR(i, a, b) for (auto i=(a); i<(b); i++)
#define FORD(i, a, b) for (int i=(a); i>(b); i--)
#define SZ(x) ((int)(x).size())
#define ALL(x) (x).begin(), (x).end()
#define PPC(x) __builtin_popcountll(x)
#define MSB(x) (63 - __builtin_clzll(x))
#define LSB(x) __builtin_ctz(x)
#define ARG(x, i) (get<i>(x))
#define ithBit(m, i) ((m) >> (i) & 1)
#define pb push_back
#define ft first
#define sd second
#define kw(a) ((a) * (a))
#ifdef DEBUG
#include "debug.h"
#else
#define dbg(...) 0
#endif
using namespace std;
template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); }
template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); }
const int maxN = 1 << 12, mod = 1'000'000'007;
template <typename T1, typename T2> inline void addMod(T1& a, T2 b) { a = (a + b) % mod; }
template <typename T1, typename T2> inline void multMod(T1& a, T2 b) { a = a * b % mod; }
long long good[2][maxN], all[2][maxN];
void solve()
{
int n, m;
scanf ("%d%d", &n, &m);
all[0][0] = good[0][0] = 1;
FOR(i, 1, n+1)
{
int s = i&1, r = s^1;
good[s][0] = all[s][0] = 0;
FOR(j, 1, min(m,i) + 1)
{
good[s][j] = all[r][j] * j % mod;
all[s][j] = (all[r][j] - good[r][j] + mod) * m;
all[s][j] += good[r][j] * j;
all[s][j] += good[r][j-1] * (m-j+1);
all[s][j] %= mod;
}
}
long long res = 0;
FOR(j, 1, min(n,m) + 1)
res += good[n&1][j];
res %= mod;
printf("%lld\n", res);
}
int main()
{
int t = 1;
//scanf ("%d", &t);
FOR(tid, 1, t+1)
{
//printf("Case #%d: ", tid);
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 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ALL(x) (x).begin(), (x).end() #define PPC(x) __builtin_popcountll(x) #define MSB(x) (63 - __builtin_clzll(x)) #define LSB(x) __builtin_ctz(x) #define ARG(x, i) (get<i>(x)) #define ithBit(m, i) ((m) >> (i) & 1) #define pb push_back #define ft first #define sd second #define kw(a) ((a) * (a)) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); } const int maxN = 1 << 12, mod = 1'000'000'007; template <typename T1, typename T2> inline void addMod(T1& a, T2 b) { a = (a + b) % mod; } template <typename T1, typename T2> inline void multMod(T1& a, T2 b) { a = a * b % mod; } long long good[2][maxN], all[2][maxN]; void solve() { int n, m; scanf ("%d%d", &n, &m); all[0][0] = good[0][0] = 1; FOR(i, 1, n+1) { int s = i&1, r = s^1; good[s][0] = all[s][0] = 0; FOR(j, 1, min(m,i) + 1) { good[s][j] = all[r][j] * j % mod; all[s][j] = (all[r][j] - good[r][j] + mod) * m; all[s][j] += good[r][j] * j; all[s][j] += good[r][j-1] * (m-j+1); all[s][j] %= mod; } } long long res = 0; FOR(j, 1, min(n,m) + 1) res += good[n&1][j]; res %= mod; printf("%lld\n", res); } int main() { int t = 1; //scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; } |
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