QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#836203 | #1816. Multiple Parentheses | Harry27182 | AC ✓ | 29ms | 31728kb | C++14 | 975b | 2024-12-28 17:21:03 | 2024-12-28 17:21:12 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
int n,m,k,fac[30000005],inv[30000005],ans/*,mod*/;
const int mod=998244353;
int C(int x,int y){return 1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
void Add(int &x,int y){x=(x+y>=mod?x+y-mod:x+y);}
int qpow(int x,int y)
{
int res=1;
while(y)
{
if(y&1)res=1ll*res*x%mod;
x=1ll*x*x%mod;y/=2;
}
return res;
}
int calc(int n,int m)
{
if(!m)return 1;
int ans=C(n+m+m-1,m);Add(ans,mod-C(n+m+m-1,m-1));
return ans;
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
cin>>n>>m>>k/*>>mod*/;
fac[0]=inv[0]=1;
for(int i=1;i<=max(n,m)*3;i++)fac[i]=1ll*fac[i-1]*i%mod;
inv[max(n,m)*3]=qpow(fac[max(n,m)*3],mod-2);
for(int i=max(n,m)*3-1;i>=1;i--)inv[i]=1ll*inv[i+1]*(i+1)%mod;
for(int i=0,w=1;i<=min(n,m/k);i++)
{
if(i&1)Add(ans,mod-1ll*calc(n-i,m-i*k)*C(n,i)%mod*w%mod);
else Add(ans,1ll*calc(n-i,m-i*k)*C(n,i)%mod*w%mod);
w=1ll*w*(C(2*k,k)-C(2*k,k-1)+mod)%mod;
}
cout<<ans;
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 5756kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 5704kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 0ms
memory: 5696kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 1ms
memory: 5720kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 1ms
memory: 5720kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 0ms
memory: 5780kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 1ms
memory: 5744kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 1ms
memory: 5704kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 1ms
memory: 5704kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 1ms
memory: 5680kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 1ms
memory: 5676kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 1ms
memory: 5640kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 4ms
memory: 8020kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 5ms
memory: 10260kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 0ms
memory: 10528kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 5ms
memory: 11028kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 0ms
memory: 8804kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 27ms
memory: 24060kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 20ms
memory: 26696kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 21ms
memory: 25860kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 14ms
memory: 17572kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 15ms
memory: 14268kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 21ms
memory: 31728kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 26ms
memory: 30928kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 21ms
memory: 31532kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 29ms
memory: 31444kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 16ms
memory: 31288kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 16ms
memory: 23532kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 19ms
memory: 29448kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 23ms
memory: 24864kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 18ms
memory: 25028kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 26ms
memory: 29660kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 22ms
memory: 31008kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'