#include <bits/stdc++.h> using namespace std; #define rep(i,a,n) for (int i=a;i<n;i++) #define per(i,a,n) for (int i=n-1;i>=a;i--) #define pb push_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second #define SZ(x) ((int)(x).size()) typedef vector<int> VI; typedef long long ll; typedef pair<int,int> PII; typedef double db; //mt19937 mrand(random_device{}()); const ll mod=1000000007; //int rnd(int x) { return mrand() % x;} ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;} // head const int N=10100000; int n,m,p; int s1[N],s2[N]; int main() { scanf("%d%d%d",&m,&n,&p); for (int i=1;i<=n;i++) { s1[i]=(s1[i-1]+i)%p; } for (int i=1;i<m;i++) { ll tot=s1[n],pres=0; for (int r=1;r<=n;r++) { s2[r]=(s2[r-1]+(tot-s1[n-r])*r-pres)%p; pres=(pres+s1[r])%p; } rep(r,1,n+1) s1[r]=s2[r]; } if (s1[n]<0) s1[n]+=p; printf("%d\n",s1[n]); }
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 | #include <bits/stdc++.h> using namespace std; #define rep(i,a,n) for (int i=a;i<n;i++) #define per(i,a,n) for (int i=n-1;i>=a;i--) #define pb push_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second #define SZ(x) ((int)(x).size()) typedef vector<int> VI; typedef long long ll; typedef pair<int,int> PII; typedef double db; //mt19937 mrand(random_device{}()); const ll mod=1000000007; //int rnd(int x) { return mrand() % x;} ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;} // head const int N=10100000; int n,m,p; int s1[N],s2[N]; int main() { scanf("%d%d%d",&m,&n,&p); for (int i=1;i<=n;i++) { s1[i]=(s1[i-1]+i)%p; } for (int i=1;i<m;i++) { ll tot=s1[n],pres=0; for (int r=1;r<=n;r++) { s2[r]=(s2[r-1]+(tot-s1[n-r])*r-pres)%p; pres=(pres+s1[r])%p; } rep(r,1,n+1) s1[r]=s2[r]; } if (s1[n]<0) s1[n]+=p; printf("%d\n",s1[n]); } |