#include <vector>
#include <iostream>
#include <sstream>
#include <math.h>
#include <sys/time.h>
#include <cstdlib>
#include <algorithm>
#include <cassert>
#include <cstring>
#include <fstream>
#include <set>
#include <map>
#include <iomanip>
#include <queue>
#define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i)
#define REP(i,a) FOR(i,0,a)
#define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++)
#define ALL(c) c.begin(),c.end()
#define CLEAR(c) memset(c,0,sizeof(c))
#define SIZE(c) (int) ((c).size())
#define PB push_back
#define MP make_pair
#define X first
#define Y second
#define ULL unsigned long long
#define LL long long
#define LD long double
#define II pair<int, int>
#define DD pair<double, double>
#define FF pair<float,float>
#define VC vector
#define VI VC<int>
#define VVI VC<VI>
#define VVVI VC<VVI>
#define VD VC<double>
#define VS VC<string>
#define VII VC<II>
#define VDD VC<DD>
#define VFF VC<FF>
#define VVD VC<VD>
#define VVVD VC<VVD>
#define VULL VC<ULL>
#define VVULL VC<VULL>
#define DB(a) cerr << #a << ": " << a << endl;
using namespace std;
template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";}
template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); }
VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;}
#define MOD 1000000007
int main(int argc, char *argv[]){
int n,m;
cin >> n >> m;
VVULL O(n+1,VULL(n+1,0));
VVULL C(n+1,VULL(n+1,0));
C[0][0] = 1;
FOR(i,1,n+1){
int T = (i+1)/2;
REP(t,T+1){
O[i][t] += (O[i-1][t] * (m-t)) % MOD;
C[i][t] += (O[i-1][t] * t) % MOD;
if (t > 0)
O[i][t] += (C[i-1][t-1] * (m-t+1)) % MOD;
C[i][t] += (C[i-1][t] * t) % MOD;
O[i][t] %= MOD;
C[i][t] %= MOD;
}
}
ULL s = 0;
REP(t,(n+1)/2+1) s = (s + C[n][t])%MOD;
cout << s << endl;
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 75 76 77 78 79 80 81 82 | #include <vector> #include <iostream> #include <sstream> #include <math.h> #include <sys/time.h> #include <cstdlib> #include <algorithm> #include <cassert> #include <cstring> #include <fstream> #include <set> #include <map> #include <iomanip> #include <queue> #define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i) #define REP(i,a) FOR(i,0,a) #define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++) #define ALL(c) c.begin(),c.end() #define CLEAR(c) memset(c,0,sizeof(c)) #define SIZE(c) (int) ((c).size()) #define PB push_back #define MP make_pair #define X first #define Y second #define ULL unsigned long long #define LL long long #define LD long double #define II pair<int, int> #define DD pair<double, double> #define FF pair<float,float> #define VC vector #define VI VC<int> #define VVI VC<VI> #define VVVI VC<VVI> #define VD VC<double> #define VS VC<string> #define VII VC<II> #define VDD VC<DD> #define VFF VC<FF> #define VVD VC<VD> #define VVVD VC<VVD> #define VULL VC<ULL> #define VVULL VC<VULL> #define DB(a) cerr << #a << ": " << a << endl; using namespace std; template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";} template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); } VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;} #define MOD 1000000007 int main(int argc, char *argv[]){ int n,m; cin >> n >> m; VVULL O(n+1,VULL(n+1,0)); VVULL C(n+1,VULL(n+1,0)); C[0][0] = 1; FOR(i,1,n+1){ int T = (i+1)/2; REP(t,T+1){ O[i][t] += (O[i-1][t] * (m-t)) % MOD; C[i][t] += (O[i-1][t] * t) % MOD; if (t > 0) O[i][t] += (C[i-1][t-1] * (m-t+1)) % MOD; C[i][t] += (C[i-1][t] * t) % MOD; O[i][t] %= MOD; C[i][t] %= MOD; } } ULL s = 0; REP(t,(n+1)/2+1) s = (s + C[n][t])%MOD; cout << s << endl; return 0; } |
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