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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#569789 | #9330. Series Sum | Crysfly | TL | 1795ms | 3632kb | C++14 | 2.7kb | 2024-09-17 10:46:47 | 2024-09-17 10:46:47 |
Judging History
answer
// what is matter? never mind.
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define int long long
#define ull unsigned long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
char c=getchar();int x=0;bool f=0;
for(;!isdigit(c);c=getchar())f^=!(c^45);
for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
if(f)x=-x;return x;
}
#define mod 998244353
struct modint{
unsigned int x;
modint(int o=0){x=o;}
modint &operator = (int o){return x=o,*this;}
modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
modint &operator -=(modint o){return x=x<o.x?x-o.x+mod:x-o.x,*this;}
modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
modint &operator ^=(int b){
modint a=*this,c=1;
for(;b;b>>=1,a*=a)if(b&1)c*=a;
return x=c.x,*this;
}
modint &operator /=(modint o){return *this *=o^=mod-2;}
friend modint operator +(modint a,modint b){return a+=b;}
friend modint operator -(modint a,modint b){return a-=b;}
friend modint operator *(modint a,modint b){return a*=b;}
friend modint operator /(modint a,modint b){return a/=b;}
friend modint operator ^(modint a,int b){return a^=b;}
friend bool operator ==(modint a,modint b){return a.x==b.x;}
friend bool operator !=(modint a,modint b){return a.x!=b.x;}
bool operator ! () {return !x;}
modint operator - () {return x?mod-x:0;}
bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}
vector<modint> fac,ifac,iv;
inline void initC(int n)
{
if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
int m=iv.size(); ++n;
if(m>=n)return;
iv.resize(n),fac.resize(n),ifac.resize(n);
For(i,m,n-1){
iv[i]=iv[mod%i]*(mod-mod/i);
fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
}
}
inline modint C(int n,int m){
if(m<0||n<m)return 0;
return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}
#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;
#define maxn 1000006
#define inf 0x3f3f3f3f
int p,k;
void work()
{
k=read(),p=read();
modint res=0;
For(d,k,p*k){
modint coe=0;
For(len,d,p*k) coe+=C(len,d)*sign(len-d);
res+=qpow(C(d,k),p)*coe;
}
// For(len,k,p*k)
// For(c,0,len-k)
// res+=sign(c)*C(len,c)*qpow(C(len-c,k),p);
res*=2;
cout<<res.x<<"\n";
}
signed main()
{
int T=read();
while(T--)work();
return 0;
}
/*
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3632kb
input:
3 2 3 1 10 9 6
output:
818 204495126 16726290
result:
ok 3 number(s): "818 204495126 16726290"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
3 10 1 1 3 1 2
output:
2 26 6
result:
ok 3 number(s): "2 26 6"
Test #3:
score: 0
Accepted
time: 1795ms
memory: 3548kb
input:
2112 16 51 27 30 32 22 6 69 1 7 6 40 15 63 23 37 11 57 6 92 8 62 5 50 11 76 1 57 99 8 2 90 35 10 13 54 6 33 8 70 14 48 12 63 7 99 85 7 14 60 7 78 22 22 1 53 6 61 2 67 8 68 5 67 7 57 8 79 11 29 15 44 8 62 19 39 9 71 3 65 3 83 6 16 11 86 7 25 124 6 1 21 5 76 17 35 14 29 1 55 67 13 987 1 8 27 4 99 8 19...
output:
958728366 182850046 337462356 238321759 94586 688819126 880558546 673294800 592760052 772846256 555807947 834237048 258386591 443217990 83210442 741605708 687991731 380324156 884202426 190172937 130140451 931313604 659396498 344165836 434542961 111646504 6836992 571531367 631528990 880394933 1976309...
result:
ok 2112 numbers
Test #4:
score: -100
Time Limit Exceeded
input:
6 1 164257 7 10955 1 30358 1 198674 1 206507 1 323519