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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#21397 | #2819. 摆家具 | glory_to_the_qy# | WA | 190ms | 98132kb | C++11 | 2.5kb | 2022-03-04 18:58:03 | 2022-05-08 03:07:29 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
typedef long long ll;
const int Mod=998244353;
int n,k,Q,m;
ll C[22][22],inv[22][22];
ll dp[2][22][1100000],pw[110];
ll qpow(ll x,int a){
ll res=1;
while (a){
if (a&1) res=res*x%Mod;
x=x*x%Mod; a>>=1;
}
return res;
}
struct Matrix{
ll v[20][20];
Matrix(){ memset(v,0,sizeof(v));}
void init(){
for (int i=0;i<20;i++) v[i][i]=1;
}
Matrix operator*(const Matrix &a) const{
Matrix res;
for (int i=0;i<20;i++)
for (int k=0;k<20;k++)
if (v[i][k])
for (int j=0;j<20;j++)
res.v[i][j]=(res.v[i][j]+v[i][k]*a.v[k][j])%Mod;
return res;
}
} A,q[4100];
struct Vector{
ll v[20];
Vector(){ memset(v,0,sizeof(v));}
Vector operator*(const Matrix &a) const{
Vector res;
for (int k=0;k<20;k++)
if (v[k])
for (int j=0;j<20;j++)
res.v[j]=(res.v[j]+v[k]*a.v[k][j])%Mod;
return res;
}
} p[310000],res;
int bit(int s,int i){ return s/pw[i]%n;}
int calc(int s,int i,int x){ return pw[i]*x+s;}
signed main(){
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
for (int i=0;i<20;i++){
C[i][0]=1;
for (int j=1;j<=i;j++) C[i][j]=(C[i-1][j-1]+C[i-1][j])%Mod;
}
cin>>n>>k>>Q; pw[0]=1; Q=1;
for (int i=0;i<=k;i++)
for (int j=0;j<=i;j++) inv[i][j]=qpow(C[i][j]*qpow(n-1,k-i)%Mod,Mod-2);
for (int i=1;i<=k;i++) pw[i]=pw[i-1]*n;
m=pw[k]; int now=0;
for (int i=0;i<m;i++) cin>>dp[0][0][i];
for (int i=0;i<k;i++){//bit i(0..k-1)
now^=1;
for (int s=0;s<=m;s++)
for (int j=0;j<=i+1;j++)
dp[now][j][s]=dp[now^1][j][s];
for (int s=0;s<=m;s++)//status s(without i)
if (!bit(s,i))
for (int j=0;j<=i;j++){//dif j
ll res=0;
for (int x=0;x<n;x++) res=(res+dp[now^1][j][calc(s,i,x)])%Mod;
// cerr<<res<<endl;
for (int x=0;x<n;x++) dp[now][j+1][calc(s,i,x)]=(dp[now][j+1][calc(s,i,x)]+(res+Mod-dp[now^1][j][calc(s,i,x)]))%Mod;
}
}
for (int i=0;i<=k;i++){
if (i) A.v[i-1][i]=k-i+1;
if (i<k) A.v[i+1][i]=(i+1)*(n-1);
A.v[i][i]=(n-2)*(k-i);
}
// for (int i=0;i<=k;i++){
// if (i) A.v[i][i-1]=i;
// if (i<k) A.v[i][i+1]=k-i;
// }
p[0].v[0]=1;
for (int i=0;i<(1<<18);i++) p[i+1]=p[i]*A;
q[0].init(); int t=18;
while (t--) A=A*A;
for (int i=0;i<=4000;i++) q[i+1]=q[i]*A;
ll lastans=1,a,b;
while (Q--){
cin>>a>>b; b=b*lastans%Mod;
res=p[b&((1<<18)-1)]*q[b>>18];
ll ans=0;
for (int i=0;i<=k;i++)
// cerr<<res.v[i]<<'\n';
ans=(ans+inv[k][i]*dp[now][i][a]%Mod*res.v[k-i])%Mod;
cout<<ans<<endl; lastans=ans;
}
return 0;
}
詳細信息
Test #1:
score: 0
Wrong Answer
time: 190ms
memory: 98132kb
input:
6 7 23333 691899807 511100503 969237388 938904792 350428599 320423686 227132681 288051232 833056445 128207711 81740114 850060462 194951182 130925016 505452669 304380595 703105541 640122112 75295756 128144693 482592240 835507949 68960843 807876145 6134269 259053259 386495729 193956365 370675670 12980...
output:
948889415
result:
wrong answer 1st lines differ - expected: '190581075', found: '948889415'