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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#720868 | #9572. Bingo | ucup-team902# | WA | 49ms | 22076kb | C++17 | 2.8kb | 2024-11-07 14:31:51 | 2024-11-07 14:31:57 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
const int N=1<<19;
const int mod=998244353;
using arr=int[N+5];
int add(int x,int y){ return (x+=y)>=mod?x-mod:x; }
int sub(int x,int y){ return (x-=y)<0?x+mod:x; }
int red(int &x){ return x+=(x>>31)&mod; }
int ksm(ll x,int tp,int s=1){
for(;tp;x=x*x%mod,tp>>=1) if(tp&1) s=x*s%mod;
return s;
}
int fac[N+5],ifac[N+5];
void prep(){
fac[0]=1;
for(int i=1;i<=N;i++) fac[i]=1ll*fac[i-1]*i%mod;
ifac[N]=ksm(fac[N],mod-2);
for(int i=N;i;i--) ifac[i-1]=1ll*ifac[i]*i%mod;
}
int C(int n,int m){ return n<0||m<0||n<m?0:1ll*fac[n]*ifac[m]%mod*ifac[n-m]%mod; }
namespace poly{
int L,iv;
arr w,rev;
arr pa,pb;
#define szf sizeof(int)
void cl(arr a){ memset(a,0,L*szf); }
void r_prep(){
int L=N>>1;
int val=ksm(3,(mod-1)/N);
w[L]=1;
for(int i=1;i<L;i++) w[i+L]=1ll*w[i+L-1]*val%mod;
for(int i=L-1;i;i--) w[i]=w[i<<1];
}
void pre_n(int n){
L=1; while(L<n) L<<=1;
iv=mod-(mod-1)/L;
for(int i=1;i<L;i++) rev[i]=(rev[i>>1]>>1)|(i&1?L>>1:0);
}
void FFT(arr t,bool ok=1){
int x,y;
for(int i=1;i<L;i++)
if(i<rev[i]) swap(t[i],t[rev[i]]);
for(int i=1;i<L;i<<=1)
for(int j=0;j<L;j+=i<<1)
for(int l=0;l<i;l++){
x=t[j+l]; y=1ll*t[i+j+l]*w[i+l]%mod;
t[i+j+l]=sub(x,y); t[j+l]=add(x,y);
}
if(!ok){
reverse(t+1,t+L);
for(int i=0;i<L;i++) t[i]=1ll*t[i]*iv%mod;
}
}
void NTT(arr a){ FFT(a); }
void INTT(arr a){ FFT(a,0); }
void NTT(arr a,arr b){ memcpy(b,a,L*szf); FFT(b); }
void INTT(arr a,arr b){ memcpy(b,a,L*szf); FFT(b,0); }
void Mult(arr a,arr b,arr c,int n){
pre_n(n);
NTT(a,pa); NTT(b,pb);
for(int i=0;i<L;i++)
c[i]=1ll*pa[i]*pb[i]%mod;
INTT(c);
fill(c+n,c+L,0);
cl(pa); cl(pb);
}
};
int n,m;
arr a;
arr f,g,h;
void solve(){
scanf("%d %d",&n,&m);
int s=n*m;
for(int i=1;i<=s;i++)
scanf("%d",&a[i]);
sort(a+1,a+1+s);
fill(f,f+s*2+1,0);
fill(g,g+s*2+1,0);
for(int i=0;i<=n;i++){
for(int j=0;j<=m;j++){
int c=1ll*C(n,i)*C(m,j)%mod;
if(i+j&1) c=mod-c;
f[(n-i)*(m-j)]=add(f[(n-i)*(m-j)],c);
}
}
for(int i=0;i<=s;i++)
f[i]=1ll*fac[i]*f[i]%mod;
for(int i=0;i<s;i++)
g[i]=1ll*fac[i]*(a[i+1]-a[i])%mod;
poly::Mult(f,g,h,s*2+1);
int ans=0;
for(int i=0;i<s;i++)
ans=(ans+1ll*h[i+s]*ifac[i])%mod;
printf("%d\n",ans);
}
int main(){
poly::r_prep();
prep();
int t; scanf("%d",&t);
while(t--) solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 4ms
memory: 21312kb
input:
4 2 2 1 3 2 4 3 1 10 10 10 1 3 20 10 30 3 4 1 1 4 5 1 4 1 9 1 9 8 10
output:
56 60 60 855346687
result:
ok 4 number(s): "56 60 60 855346687"
Test #2:
score: 0
Accepted
time: 9ms
memory: 20332kb
input:
1 2 2 0 0 998244352 998244352
output:
998244345
result:
ok 1 number(s): "998244345"
Test #3:
score: -100
Wrong Answer
time: 49ms
memory: 22076kb
input:
900 1 1 810487041 1 2 569006976 247513378 1 3 424212910 256484544 661426830 1 4 701056586 563296095 702740883 723333858 1 5 725786515 738465053 821758167 170452477 34260723 1 6 204184507 619884535 208921865 898995024 768400582 369477346 1 7 225635227 321139203 724076812 439129905 405005469 369864252...
output:
810487041 495026756 540662911 541929691 118309348 270925149 575366228 709974238 761347712 304011276 14811741 366145628 638305530 240546928 484276475 603344008 926633861 161768904 239961447 329781933 315752584 578075668 259941994 600147169 402221164 890998500 154285994 181862417 47930994 273729619 36...
result:
wrong answer 31st numbers differ - expected: '641806864', found: '365932048'