QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#507157 | #1084. Beautiful Sequence Unraveling | xlwang | AC ✓ | 377ms | 6320kb | C++14 | 2.9kb | 2024-08-06 11:48:26 | 2024-08-06 11:48:26 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
#define fr(i,j,k) for(register int i=j;i<=k;++i)
#define rf(i,j,k) for(register int i=j;i>=k;--i)
#define foredge(i,j) for(register int i=head[j];i;i=e[i].nxt)
#define pb push_back
#define Times printf("Time:%.3lf\n",clock()/CLOCKS_PER_SEC)
#define pii pair<int,int>
#define mk make_pair
using namespace std;
inline int read(){
int x=0;
bool f=0;
char c=getchar();
while(!isdigit(c)) f|=(c=='-'),c=getchar();
while(isdigit(c)) x=(x<<3)+(x<<1)+(c^48),c=getchar();
return f?-x:x;
}
inline void write(int x){
if(x<0){putchar('-');x=-x;}
if(x>9)write(x/10);
putchar(x%10+'0');
}
inline void writeln(int x){write(x); puts("");}
inline void writepl(int x){write(x); putchar(' ');}
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
inline int randfind(int l,int r){return rnd()%(r-l+1)+l;}
//inline void init(){
// int t=read();
// while(t--) work();
//}
const int Maxn=4e2+10;
int n,m,mod;
inline int ksm(int x,int y=mod-2){
int sum=1;
while(y){
if(y&1) sum=1ll*sum*x%mod;
y=y/2;x=1ll*x*x%mod;
}return sum;
}
int inum[Maxn];
int pw[Maxn][Maxn],ipw[Maxn][Maxn],C[Maxn][Maxn];
inline void into(){
inum[0]=1;fr(i,1,n) inum[i]=ksm(i);
// fr(i,1,n) cout<<i<<' '<<inum[i]<<endl;
fr(i,1,n){
pw[i][0]=1;
ipw[i][0]=1;
fr(j,1,n){
pw[i][j]=1ll*pw[i][j-1]*i%mod;
ipw[i][j]=1ll*ipw[i][j-1]*inum[i]%mod;
}
}
C[0][0]=1;
fr(i,1,n){
C[i][0]=1;
fr(j,1,i) C[i][j]=(C[i-1][j]+C[i-1][j-1])%mod;
}
}
inline void add(int &x,int y){x+=y;if(x>=mod) x-=mod;}
inline void init(){
n=read();m=read();mod=read();into();
}
int f[Maxn][Maxn],s[Maxn][2];
int g[Maxn];
inline void work(){
fr(j,1,n){
fr(i,1,n) s[i][0]=s[i][1]=0;
fr(i,1,n){
f[i][j]=pw[j][i];
fr(t,1,j){
// cout<<"*"<<i<<' '<<j<<' '<<s[t][0]<<' '<<s[t][1]<<endl;
add(f[i][j],mod-1ll*pw[t][i]*s[t][0]%mod);
add(f[i][j],1ll*pw[t-1][i]*s[t][1]%mod);
}
// cout<<i<<' '<<j<<' '<<f[i][j]<<endl;
fr(t,1,j){
add(s[t][0],1ll*ipw[t][i]*(f[i][j-t+1]-f[i][j-t]+mod)%mod);
add(s[t][1],1ll*ipw[t-1][i]*(f[i][j-t+1]-f[i][j-t]+mod)%mod);
}
}
}
int ans=0,s=1;
// fr(i,1,n) fr(j,1,n) cout<<i<<' '<<j<<' '<<f[i][j]<<endl;
fr(i,1,n){
g[i]=f[n][i];
fr(j,1,i-1) add(g[i],mod-1ll*g[j]*C[i][j]%mod);
s=1ll*s*(m-i+1)%mod;s=1ll*s*inum[i]%mod;
// cout<<i<<' '<<g[i]<<endl;
add(ans,1ll*s*g[i]%mod);
}writeln(ans);
}
signed main(){
// freopen("input.in","r",stdin);
// freopen("output.out","w",stdout);
init();work();
// printf("\nTIME:%.3lf",(double)clock()/CLOCKS_PER_SEC);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5812kb
input:
2 2 1000000007
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
3 4 1000000009
output:
36
result:
ok 1 number(s): "36"
Test #3:
score: 0
Accepted
time: 71ms
memory: 5152kb
input:
228 112263 998244353
output:
379700769
result:
ok 1 number(s): "379700769"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
1 1 998595277
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
2 2 998683811
output:
2
result:
ok 1 number(s): "2"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
3 1 998277223
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
4 1 998365733
output:
0
result:
ok 1 number(s): "0"
Test #8:
score: 0
Accepted
time: 371ms
memory: 6304kb
input:
400 100000000 998244353
output:
318973800
result:
ok 1 number(s): "318973800"
Test #9:
score: 0
Accepted
time: 376ms
memory: 6124kb
input:
400 1 1000000007
output:
0
result:
ok 1 number(s): "0"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
2 9 999603883
output:
72
result:
ok 1 number(s): "72"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
1 1 998784541
output:
1
result:
ok 1 number(s): "1"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5688kb
input:
3 3 999209353
output:
12
result:
ok 1 number(s): "12"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
4 12 999787531
output:
16544
result:
ok 1 number(s): "16544"
Test #14:
score: 0
Accepted
time: 375ms
memory: 6128kb
input:
400 3 998785127
output:
505031599
result:
ok 1 number(s): "505031599"
Test #15:
score: 0
Accepted
time: 376ms
memory: 6088kb
input:
400 77 999400643
output:
877578741
result:
ok 1 number(s): "877578741"
Test #16:
score: 0
Accepted
time: 376ms
memory: 6304kb
input:
400 374 998458939
output:
202865317
result:
ok 1 number(s): "202865317"
Test #17:
score: 0
Accepted
time: 377ms
memory: 6068kb
input:
400 77435643 999245677
output:
833344996
result:
ok 1 number(s): "833344996"
Test #18:
score: 0
Accepted
time: 373ms
memory: 6288kb
input:
399 72119824 999010279
output:
188282648
result:
ok 1 number(s): "188282648"
Test #19:
score: 0
Accepted
time: 366ms
memory: 6248kb
input:
398 22521432 999827603
output:
986913334
result:
ok 1 number(s): "986913334"
Test #20:
score: 0
Accepted
time: 364ms
memory: 6320kb
input:
397 77955743 998803427
output:
32764673
result:
ok 1 number(s): "32764673"