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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#423163 | #2834. Nonsense | TianTian2008 | TL | 147ms | 199760kb | C++14 | 1.2kb | 2024-05-27 21:22:02 | 2024-05-27 21:22:03 |
Judging History
answer
#include <iostream>
#include <cstdio>
#define mod 998244353
using namespace std;
typedef long long ll;
ll n,m,x,y,q,fac[5010],inv[5010];
ll ksm(ll x,ll y) {
ll res=1;
while(y) {
if(y&1) res=res*x%mod;
x=x*x%mod;
y>>=1;
}
return res;
}
void init() {
fac[0]=1;
for(int i=1;i<=m;++i) fac[i]=fac[i-1]*(n-i+2)%mod;
ll pro=1;
for(int i=1;i<=m;++i) pro=pro*i%mod;
inv[m]=ksm(pro,mod-2);
for(int i=m;i>=1;--i) inv[i-1]=inv[i]*i%mod;
}
inline ll binom(ll x) {return fac[x]*inv[x]%mod;}
namespace sol1 {
ll f[5010][5010];
void work() {
ll div=ksm(x-y,mod-2);
for(int i=0;i<=m;++i)
for(int j=0;j<=m;++j) {
if(i==0) f[i][j]=-binom(j)*ksm(y,n+1-j)%mod;
else f[i][j]=-f[i-1][j];
if(j==0) f[i][j]+=binom(i)*ksm(x,n+1-i)%mod;
else f[i][j]+=f[i][j-1];
f[i][j]=f[i][j]*div%mod;
}
ll a,b;
while(q--) {
scanf("%lld%lld",&a,&b);
printf("%lld\n",(f[a][b]+mod)%mod);
}
}
}
namespace sol2 {
void work() {
ll a,b;
while(q--) {
scanf("%lld%lld",&a,&b);
printf("%lld\n",ksm(x,n-a-b)*binom(a+b+1)%mod);
}
}
}
int main() {
while(scanf("%lld%lld%lld%lld",&n,&x,&y,&q)!=EOF) {
m=min(n,5000ll)+1;
init();
if(x!=y) sol1::work();
else sol2::work();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 8124kb
input:
3 1 2 2 1 1 1 2 100 2 3 1 1 1
output:
6 1 866021789
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 147ms
memory: 199760kb
input:
1000000000 0 1 1 1000 1000 2 0 0 1 1 1 2 998244352 998244352 1 1 1
output:
381781645 1 1
result:
ok 3 lines
Test #3:
score: 0
Accepted
time: 143ms
memory: 199748kb
input:
1000000000 998244351 998244352 1 5000 5000
output:
663228915
result:
ok single line: '663228915'
Test #4:
score: -100
Time Limit Exceeded
input:
105886041 9 3 200 4 3 5 1 1 1 4 1 3 3 1 5 2 1 1 5 2 1 1 5 3 3 4 4 2 1 4 4 1 2 5 2 5 2 2 5 4 5 3 3 4 3 1 4 3 1 5 4 5 3 5 2 5 3 3 3 1 3 4 3 2 3 3 5 1 3 3 5 2 3 4 4 3 4 5 5 2 3 1 1 3 3 4 2 1 4 4 5 2 3 1 5 2 2 4 2 5 5 2 1 4 3 3 3 3 1 2 1 2 5 1 1 4 4 1 5 1 5 3 1 3 2 2 2 4 1 5 5 3 4 2 2 2 1 5 3 5 3 2 2 1 ...
output:
721440251 764408668 442427888 914530150 115811774 360614503 666106268 360614503 666106268 360614503 115811774 166867820 666106268 166867820 985976063 717651702 717651702 405340273 435048189 115811774 721440251 719754512 660548079 998056822 165742634 717651702 165742634 115811774 407319461 721440251 ...