QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#24277 | #1816. Multiple Parentheses | Wu_Ren | AC ✓ | 52ms | 38960kb | C++17 | 811b | 2022-03-29 10:33:34 | 2022-04-30 05:23:04 |
Judging History
answer
#include <bits/stdc++.h>
const int mod=998244353;
using namespace std;
int n,m,k,fac[3000010],ifac[3000010],inv[3000010];
void init(int N){
fac[0]=fac[1]=ifac[0]=ifac[1]=inv[1]=1;
for(int i=2;i<=N;i++){
fac[i]=1ll*i*fac[i-1]%mod;
ifac[i]=1ll*(inv[i]=mod-1ll*(mod/i)*inv[mod%i]%mod)*ifac[i-1]%mod;
}
}
void qmo(int &x){
x+=(x>>31)&mod;
}
int C(int n,int m){
if(m<0||n<m) return 0;
return 1ll*fac[n]*ifac[n-m]%mod*ifac[m]%mod;
}
int f(int i,int j){
if(j==0) return 1;
return C(i-1+2*j,j)-C(i-1+2*j,j-1);
}
int main(){
scanf("%d%d%d",&n,&m,&k),init(n+2*m);
int res=0,mul=f(1,k);qmo(mul);
for(int i=0,nw=1;i*k<=m&&i<=n;i++){
int w=(1ll*f(n-i,m-i*k)+mod)*C(n,i)%mod*nw%mod;
if(i&1) qmo(res-=w);
else qmo(res+=w-mod);
nw=1ll*nw*mul%mod;
}
printf("%d\n",res);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 7864kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 1ms
memory: 7948kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 2ms
memory: 7888kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 4ms
memory: 7896kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 4ms
memory: 7876kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 1ms
memory: 7756kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 2ms
memory: 7904kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 1ms
memory: 7892kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 4ms
memory: 7856kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 4ms
memory: 7860kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 4ms
memory: 7884kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 2ms
memory: 7880kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 4ms
memory: 7908kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 4ms
memory: 7948kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 4ms
memory: 7784kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 1ms
memory: 7884kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 4ms
memory: 7916kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 1ms
memory: 7860kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 3ms
memory: 12100kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 2ms
memory: 12836kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 3ms
memory: 10812kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 2ms
memory: 13004kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 1ms
memory: 12212kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 51ms
memory: 33376kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 10ms
memory: 18988kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 12ms
memory: 20548kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 7ms
memory: 13960kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 26ms
memory: 23820kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 43ms
memory: 38936kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 43ms
memory: 38884kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 47ms
memory: 38796kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 52ms
memory: 38844kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 41ms
memory: 38960kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 27ms
memory: 30500kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 34ms
memory: 36952kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 30ms
memory: 31900kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 28ms
memory: 29688kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 35ms
memory: 37344kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 36ms
memory: 38084kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'