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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#397138 | #6678. Gem Island 2 | zhouhuanyi | TL | 137ms | 131560kb | C++14 | 1.2kb | 2024-04-23 17:26:44 | 2024-04-23 17:26:46 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define N 15000000
#define mod 998244353
using namespace std;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
int fast_pow(int a,int b)
{
int res=1,mul=a;
while (b)
{
if (b&1) res=1ll*res*mul%mod;
mul=1ll*mul*mul%mod,b>>=1;
}
return res;
}
int MD(int x)
{
return x>=mod?x-mod:x;
}
int MD2(int x)
{
return x<0?x+mod:x;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
void Adder2(int &x,int d)
{
x+=d;
if (x<0) x+=mod;
return;
}
int n,d,r,F[N+1],G[N+1],fac[N+1],invfac[N+1],ans;
int C(int x,int y)
{
return 1ll*fac[x]*invfac[y]%mod*invfac[x-y]%mod;
}
int main()
{
fac[0]=1;
for (int i=1;i<=N;++i) fac[i]=1ll*fac[i-1]*i%mod;
invfac[N]=fast_pow(fac[N],mod-2);
for (int i=N-1;i>=0;--i) invfac[i]=1ll*invfac[i+1]*(i+1)%mod;
n=read(),d=read(),r=read(),F[1]=1;
for (int i=r+1;i<=n;++i)
{
if (!((i-r)&1)) F[i]=C(i-2,r-1);
else F[i]=MD2(-C(i-2,r-1));
}
for (int i=1;i<=d;++i)
for (int j=0;j<=min(n,d/i);++j)
Adder(ans,1ll*C(n,j)*C(n-1+d-i*j,n-1)%mod*F[j]%mod);
printf("%d\n",MD(1ll*ans*fast_pow(C(n-1+d,n-1),mod-2)%mod+r));
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 126ms
memory: 124540kb
input:
2 3 1
output:
499122180
result:
ok 1 number(s): "499122180"
Test #2:
score: 0
Accepted
time: 128ms
memory: 123660kb
input:
3 3 2
output:
698771052
result:
ok 1 number(s): "698771052"
Test #3:
score: 0
Accepted
time: 125ms
memory: 123280kb
input:
5 10 3
output:
176512750
result:
ok 1 number(s): "176512750"
Test #4:
score: 0
Accepted
time: 126ms
memory: 124240kb
input:
5 4 3
output:
71303175
result:
ok 1 number(s): "71303175"
Test #5:
score: 0
Accepted
time: 129ms
memory: 124932kb
input:
37 47 12
output:
962577218
result:
ok 1 number(s): "962577218"
Test #6:
score: 0
Accepted
time: 129ms
memory: 124972kb
input:
29 50 26
output:
175627840
result:
ok 1 number(s): "175627840"
Test #7:
score: 0
Accepted
time: 137ms
memory: 124848kb
input:
298 498 221
output:
765832019
result:
ok 1 number(s): "765832019"
Test #8:
score: 0
Accepted
time: 133ms
memory: 123892kb
input:
497 456 243
output:
414028615
result:
ok 1 number(s): "414028615"
Test #9:
score: 0
Accepted
time: 125ms
memory: 124928kb
input:
114514 1926 817
output:
691374994
result:
ok 1 number(s): "691374994"
Test #10:
score: 0
Accepted
time: 135ms
memory: 131560kb
input:
1919810 1554 1999
output:
3553
result:
ok 1 number(s): "3553"
Test #11:
score: 0
Accepted
time: 127ms
memory: 130136kb
input:
1926817 1514 1001
output:
685086550
result:
ok 1 number(s): "685086550"
Test #12:
score: 0
Accepted
time: 134ms
memory: 130608kb
input:
1432132 1425 1425
output:
2850
result:
ok 1 number(s): "2850"
Test #13:
score: -100
Time Limit Exceeded
input:
14999999 15000000 14999999