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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 |
---|---|---|---|---|---|---|---|---|---|
#806820 | #1816. Multiple Parentheses | cwfxlh | AC ✓ | 249ms | 81844kb | C++14 | 968b | 2024-12-09 15:42:53 | 2024-12-09 15:42:53 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
#define MOD 998244353
using namespace std;
int n,m,k,jc[5000003],njc[5000003],ans;
int fstp(int X,int Y){int ret=1,bse=X%MOD;while(Y){if(Y%2)ret=ret*bse%MOD;bse=bse*bse%MOD;Y/=2;}return ret;}
int C(int X,int Y){if(X<0||Y<0||X<Y)return 0;return jc[X]*(njc[Y]*njc[X-Y]%MOD)%MOD;}
int calc(int A,int B){
if(A<0)return 0;
if(B==0)return (A==0);
int ret=0;
ret=(C(2*A+B-1,A)-C(2*A+B-1,A-1))%MOD;
return ret;
}
int f(int X){return C(2*X,X)*fstp(X+1,MOD-2)%MOD;}
signed main(){
ios::sync_with_stdio(false);
jc[0]=1;
for(int i=1;i<=5000000;i++)jc[i]=jc[i-1]*i%MOD;
njc[5000000]=fstp(jc[5000000],MOD-2);
for(int i=4999999;i>=0;i--)njc[i]=njc[i+1]*(i+1)%MOD;
cin>>n>>m>>k;
for(int i=0;i<=n;i++){
if(i%2==0)ans=(ans+(fstp(f(k),i)*calc(m-i*k,n-i)%MOD)*C(n,i))%MOD;
else ans=(ans-(fstp(f(k),i)*calc(m-i*k,n-i)%MOD)*C(n,i))%MOD;
}
ans%=MOD;
ans+=MOD;
ans%=MOD;
cout<<ans;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 43ms
memory: 81784kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 43ms
memory: 81788kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 44ms
memory: 81788kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 40ms
memory: 81728kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 39ms
memory: 81772kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 39ms
memory: 81796kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 42ms
memory: 81804kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 41ms
memory: 81724kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 40ms
memory: 81776kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 43ms
memory: 81840kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 47ms
memory: 81772kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 40ms
memory: 81788kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 47ms
memory: 81716kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 48ms
memory: 81788kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 52ms
memory: 81732kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 48ms
memory: 81720kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 48ms
memory: 81720kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 44ms
memory: 81728kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 64ms
memory: 81788kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 60ms
memory: 81724kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 51ms
memory: 81800kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 66ms
memory: 81788kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 65ms
memory: 81844kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 199ms
memory: 81788kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 215ms
memory: 81720kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 212ms
memory: 81728kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 131ms
memory: 81724kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 115ms
memory: 81836kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 236ms
memory: 81788kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 245ms
memory: 81784kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 249ms
memory: 81788kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 249ms
memory: 81780kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 244ms
memory: 81776kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 176ms
memory: 81800kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 181ms
memory: 81724kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 156ms
memory: 81716kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 195ms
memory: 81784kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 165ms
memory: 81696kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 195ms
memory: 81836kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'