QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#415112 | #6678. Gem Island 2 | Flamire | AC ✓ | 819ms | 384592kb | C++17 | 1.3kb | 2024-05-20 11:12:00 | 2024-05-20 11:12:00 |
Judging History
answer
#include <bits/stdc++.h>
#define N 30000011
using namespace std;
int n,d,r,fac[N],ifac[N],R[N],F[N];const int p=998244353;
inline int qpow(int bs,int ex){int ans=1;while(ex){if(ex&1)ans=1ll*ans*bs%p;ex>>=1;bs=1ll*bs*bs%p;}return ans;}
inline int binom(int n,int m){if(n<m||m<0)return 0;return 1ll*fac[n]*ifac[m]%p*ifac[n-m]%p;}
int Sn(int n,int m)
{
if(m<0)return 0;
if(!n)return 1;
return m&1?-binom(n-1,m):binom(n-1,m);
}
bool is[N];int pr[N/10];
int main()
{
scanf("%d%d%d",&n,&d,&r);
if(!d){printf("%d\n",r);return 0;}
fac[0]=1;for(int i=1;i<N;++i)fac[i]=1ll*fac[i-1]*i%p;
ifac[N-1]=qpow(fac[N-1],p-2);for(int i=N-2;~i;--i)ifac[i]=1ll*ifac[i+1]*(i+1)%p;
int ans=0;
for(int j=1;j<=d;++j)
{
R[j]=(j&1?-1:1)*(1ll*j*-Sn(j-1,r-1)+1ll*r*-Sn(j,r))%p*binom(n,j)%p;
}
for(int j=1;j<=d;++j)F[j]=binom(n+d-1-j,n-1);
is[0]=is[1]=1;
for(int i=2;i<=d;++i)
{
if(!is[i])pr[++pr[0]]=i;
for(int j=1;j<=pr[0]&&i*pr[j]<=d;++j)
{
is[i*pr[j]]=1;
if(i%pr[j]==0)break;
}
}
for(int i=1;i<=pr[0];++i)
{
for(int j=d/pr[i];j;--j)
{
F[j]=(F[j]+F[j*pr[i]])%p;
}
}
for(int j=1;j<=d;++j)ans=(ans+1ll*F[j]*R[j])%p;
int denom=binom(n+d-1,n-1);
printf("%d\n",(1ll*ans*qpow(denom,p-2)%p+r+p)%p);
fclose(stdin);fclose(stdout);return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 259ms
memory: 244352kb
input:
2 3 1
output:
499122180
result:
ok 1 number(s): "499122180"
Test #2:
score: 0
Accepted
time: 256ms
memory: 245504kb
input:
3 3 2
output:
698771052
result:
ok 1 number(s): "698771052"
Test #3:
score: 0
Accepted
time: 253ms
memory: 245424kb
input:
5 10 3
output:
176512750
result:
ok 1 number(s): "176512750"
Test #4:
score: 0
Accepted
time: 263ms
memory: 245968kb
input:
5 4 3
output:
71303175
result:
ok 1 number(s): "71303175"
Test #5:
score: 0
Accepted
time: 263ms
memory: 246028kb
input:
37 47 12
output:
962577218
result:
ok 1 number(s): "962577218"
Test #6:
score: 0
Accepted
time: 252ms
memory: 245676kb
input:
29 50 26
output:
175627840
result:
ok 1 number(s): "175627840"
Test #7:
score: 0
Accepted
time: 247ms
memory: 245700kb
input:
298 498 221
output:
765832019
result:
ok 1 number(s): "765832019"
Test #8:
score: 0
Accepted
time: 251ms
memory: 245412kb
input:
497 456 243
output:
414028615
result:
ok 1 number(s): "414028615"
Test #9:
score: 0
Accepted
time: 258ms
memory: 245756kb
input:
114514 1926 817
output:
691374994
result:
ok 1 number(s): "691374994"
Test #10:
score: 0
Accepted
time: 259ms
memory: 246244kb
input:
1919810 1554 1999
output:
3553
result:
ok 1 number(s): "3553"
Test #11:
score: 0
Accepted
time: 241ms
memory: 244736kb
input:
1926817 1514 1001
output:
685086550
result:
ok 1 number(s): "685086550"
Test #12:
score: 0
Accepted
time: 259ms
memory: 245476kb
input:
1432132 1425 1425
output:
2850
result:
ok 1 number(s): "2850"
Test #13:
score: 0
Accepted
time: 717ms
memory: 384580kb
input:
14999999 15000000 14999999
output:
29999999
result:
ok 1 number(s): "29999999"
Test #14:
score: 0
Accepted
time: 257ms
memory: 247356kb
input:
98765 99654 85647
output:
815183913
result:
ok 1 number(s): "815183913"
Test #15:
score: 0
Accepted
time: 260ms
memory: 245840kb
input:
99999 100000 99998
output:
832290200
result:
ok 1 number(s): "832290200"
Test #16:
score: 0
Accepted
time: 253ms
memory: 246600kb
input:
1541 99998 725
output:
463021366
result:
ok 1 number(s): "463021366"
Test #17:
score: 0
Accepted
time: 287ms
memory: 256168kb
input:
985438 998756 101254
output:
671487608
result:
ok 1 number(s): "671487608"
Test #18:
score: 0
Accepted
time: 288ms
memory: 257524kb
input:
998654 999856 2
output:
92085960
result:
ok 1 number(s): "92085960"
Test #19:
score: 0
Accepted
time: 270ms
memory: 253988kb
input:
45876 1000000 13
output:
208089291
result:
ok 1 number(s): "208089291"
Test #20:
score: 0
Accepted
time: 785ms
memory: 384592kb
input:
15000000 14999999 514
output:
143843956
result:
ok 1 number(s): "143843956"
Test #21:
score: 0
Accepted
time: 797ms
memory: 384520kb
input:
14985345 14999998 145124
output:
785676527
result:
ok 1 number(s): "785676527"
Test #22:
score: 0
Accepted
time: 819ms
memory: 384592kb
input:
14855345 14993298 1451424
output:
779861797
result:
ok 1 number(s): "779861797"
Test #23:
score: 0
Accepted
time: 257ms
memory: 246012kb
input:
1 1 1
output:
2
result:
ok 1 number(s): "2"
Test #24:
score: 0
Accepted
time: 714ms
memory: 384528kb
input:
15000000 15000000 15000000
output:
30000000
result:
ok 1 number(s): "30000000"
Extra Test:
score: 0
Extra Test Passed