QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#13529 | #1816. Multiple Parentheses | JohnAlfnov | AC ✓ | 201ms | 74164kb | C++98 | 924b | 2021-09-15 16:28:00 | 2022-05-17 02:41:42 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=3e6+5,mod=998244353;
int n,m,k;ll ans,fac[N],inv[N],Inv[N+N];
inline ll qpow(ll a,ll b){ll ans=1;for(;b;b>>=1,a=a*a%mod)if(b&1)ans=ans*a%mod;return ans;}
inline void precalc(int n){
fac[0]=1;for(int i=1;i<=n;++i)fac[i]=fac[i-1]*i%mod;
inv[n]=qpow(fac[n],mod-2);for(int i=n-1;~i;--i)inv[i]=(i+1)*inv[i+1]%mod;
Inv[0]=Inv[1]=1;for(int i=2;i<=n;++i)Inv[i]=(mod-mod/i)*Inv[mod%i]%mod;
}
inline ll C(int n,int m){return fac[n]*inv[m]%mod*inv[n-m]%mod;}
inline ll F(int n,int m){
if(m==0)return 1;
if(n==0)return 0;
return C(2*m+n-1,m)*Inv[m+n]%mod*n%mod;
}
int main(){
precalc(3e6);
scanf("%d%d%d",&n,&m,&k);
for(int i=0;i<=n;++i)
if(1ll*i*k<=m){
ll coef;
coef=C(n,i)*qpow(F(1,k),i)%mod*F(n-i,m-i*k)%mod;
if(i&1)ans=(ans-coef+mod)%mod;
else (ans+=coef)%=mod;
}
return printf("%lld\n",ans),0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 65ms
memory: 74088kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 71ms
memory: 74032kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 71ms
memory: 74088kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 69ms
memory: 74024kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 67ms
memory: 74164kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 74ms
memory: 74092kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 66ms
memory: 74028kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 49ms
memory: 74104kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 71ms
memory: 74120kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 80ms
memory: 74076kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 70ms
memory: 74100kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 76ms
memory: 74028kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 63ms
memory: 74112kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 67ms
memory: 74112kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 65ms
memory: 74088kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 61ms
memory: 74096kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 41ms
memory: 74076kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 79ms
memory: 74108kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 51ms
memory: 74164kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 77ms
memory: 74160kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 78ms
memory: 74076kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 68ms
memory: 74076kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 57ms
memory: 74092kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 201ms
memory: 74160kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 82ms
memory: 74024kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 70ms
memory: 73960kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 83ms
memory: 74024kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 106ms
memory: 74004kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 66ms
memory: 74048kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 74ms
memory: 73956kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 74ms
memory: 74092kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 58ms
memory: 74124kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 57ms
memory: 74076kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 80ms
memory: 74044kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 67ms
memory: 73960kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 69ms
memory: 73956kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 60ms
memory: 74164kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 55ms
memory: 74160kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 58ms
memory: 74072kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'