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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 |
---|---|---|---|---|---|---|---|---|---|
#20994 | #1816. Multiple Parentheses | ezoilearner | AC ✓ | 77ms | 38940kb | C++14 | 1.4kb | 2022-02-23 09:14:02 | 2022-05-03 12:11:08 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define cout cerr
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
typedef long long ll;
typedef pair<int,int> pii;
#define FR first
#define SE second
inline void rd(int &x){
x=0;char ch=getchar();int f=1;
while(ch<'0'||ch>'9'){
if(ch=='-')f=-1;
ch=getchar();
}
while(ch>='0'&&ch<='9'){
x=x*10+ch-'0';
ch=getchar();
}
x*=f;
}
const int Mod=998244353;
namespace modular{
int add(int a,int b){return a+b>=Mod?a+b-Mod:a+b;}
int dec(int a,int b){return a-b<0?a-b+Mod:a-b;}
int mul(int a,int b){return 1ll*a*b%Mod;}
}using namespace modular;
int n,m,K;
#define Maxn 3000010
const int N=3e6;
int fact[Maxn],inv[Maxn],ifac[Maxn];
void init(){
fact[0]=1;
rep(i,1,N)fact[i]=mul(fact[i-1],i);
inv[0]=inv[1]=1;rep(i,2,N)inv[i]=mul(Mod-Mod/i,inv[Mod%i]);
ifac[0]=1;rep(i,1,N)ifac[i]=mul(ifac[i-1],inv[i]);
}
int C(int a,int b){
if(a<b)return 0;
return mul(fact[a],mul(ifac[b],ifac[a-b]));
}
int calc(int i,int j){
if(i==0)return j==0;
return dec(C(2*j+i-1,j+i-1),C(2*j+i-1,j+i));
}
int main(){
init();
rd(n);rd(m);rd(K);
int t=calc(1,K),tmp=1;
int Ans=0;
rep(i,0,min(n,m/K)){
int cur=mul(C(n,i),calc(n-i,m-i*K));
cur=mul(cur,tmp);
if(i&1)Ans=dec(Ans,cur);
else Ans=add(Ans,cur);
tmp=mul(tmp,t);
}
printf("%d\n",Ans);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 58ms
memory: 38804kb
input:
2 2 1
output:
4
result:
ok answer is '4'
Test #2:
score: 0
Accepted
time: 60ms
memory: 38800kb
input:
1 1 1
output:
0
result:
ok answer is '0'
Test #3:
score: 0
Accepted
time: 54ms
memory: 38888kb
input:
24 120 30
output:
379268651
result:
ok answer is '379268651'
Test #4:
score: 0
Accepted
time: 68ms
memory: 38848kb
input:
1451 1598 1130
output:
884873572
result:
ok answer is '884873572'
Test #5:
score: 0
Accepted
time: 54ms
memory: 38896kb
input:
1324 1742 1033
output:
856733047
result:
ok answer is '856733047'
Test #6:
score: 0
Accepted
time: 64ms
memory: 38848kb
input:
1378 1614 1335
output:
869903701
result:
ok answer is '869903701'
Test #7:
score: 0
Accepted
time: 61ms
memory: 38876kb
input:
1071 1907 1281
output:
327700529
result:
ok answer is '327700529'
Test #8:
score: 0
Accepted
time: 64ms
memory: 38848kb
input:
1204 1337 1277
output:
475981175
result:
ok answer is '475981175'
Test #9:
score: 0
Accepted
time: 51ms
memory: 38732kb
input:
146 246 100
output:
404402509
result:
ok answer is '404402509'
Test #10:
score: 0
Accepted
time: 48ms
memory: 38780kb
input:
226 183 144
output:
351921989
result:
ok answer is '351921989'
Test #11:
score: 0
Accepted
time: 66ms
memory: 38876kb
input:
234 287 158
output:
658959115
result:
ok answer is '658959115'
Test #12:
score: 0
Accepted
time: 63ms
memory: 38900kb
input:
242 156 122
output:
325586111
result:
ok answer is '325586111'
Test #13:
score: 0
Accepted
time: 58ms
memory: 38884kb
input:
168 271 135
output:
181613866
result:
ok answer is '181613866'
Test #14:
score: 0
Accepted
time: 54ms
memory: 38848kb
input:
22 25 1
output:
684860973
result:
ok answer is '684860973'
Test #15:
score: 0
Accepted
time: 57ms
memory: 38864kb
input:
45 22 15
output:
217501624
result:
ok answer is '217501624'
Test #16:
score: 0
Accepted
time: 49ms
memory: 38776kb
input:
47 29 16
output:
690840771
result:
ok answer is '690840771'
Test #17:
score: 0
Accepted
time: 54ms
memory: 38824kb
input:
2 25 25
output:
660660974
result:
ok answer is '660660974'
Test #18:
score: 0
Accepted
time: 52ms
memory: 38776kb
input:
32 34 11
output:
133387056
result:
ok answer is '133387056'
Test #19:
score: 0
Accepted
time: 68ms
memory: 38816kb
input:
88196 118335 104471
output:
7192211
result:
ok answer is '7192211'
Test #20:
score: 0
Accepted
time: 55ms
memory: 38800kb
input:
142215 57117 51272
output:
627598793
result:
ok answer is '627598793'
Test #21:
score: 0
Accepted
time: 55ms
memory: 38868kb
input:
102255 60360 51525
output:
447649003
result:
ok answer is '447649003'
Test #22:
score: 0
Accepted
time: 48ms
memory: 38844kb
input:
132449 83413 54230
output:
215816803
result:
ok answer is '215816803'
Test #23:
score: 0
Accepted
time: 43ms
memory: 38780kb
input:
68499 95762 77190
output:
393029560
result:
ok answer is '393029560'
Test #24:
score: 0
Accepted
time: 62ms
memory: 38852kb
input:
751951 751951 1
output:
804170883
result:
ok answer is '804170883'
Test #25:
score: 0
Accepted
time: 53ms
memory: 38812kb
input:
804420 1962 410
output:
869056555
result:
ok answer is '869056555'
Test #26:
score: 0
Accepted
time: 55ms
memory: 38812kb
input:
828607 63739 13
output:
926542030
result:
ok answer is '926542030'
Test #27:
score: 0
Accepted
time: 44ms
memory: 38732kb
input:
472167 20529 23
output:
142703540
result:
ok answer is '142703540'
Test #28:
score: 0
Accepted
time: 57ms
memory: 38808kb
input:
363438 363438 1
output:
764563597
result:
ok answer is '764563597'
Test #29:
score: 0
Accepted
time: 60ms
memory: 38800kb
input:
1000000 1000000 628333
output:
283487375
result:
ok answer is '283487375'
Test #30:
score: 0
Accepted
time: 46ms
memory: 38812kb
input:
1000000 1000000 900084
output:
651386967
result:
ok answer is '651386967'
Test #31:
score: 0
Accepted
time: 56ms
memory: 38852kb
input:
1000000 1000000 27328
output:
621963453
result:
ok answer is '621963453'
Test #32:
score: 0
Accepted
time: 65ms
memory: 38812kb
input:
1000000 1000000 538409
output:
997879100
result:
ok answer is '997879100'
Test #33:
score: 0
Accepted
time: 51ms
memory: 38808kb
input:
1000000 1000000 928121
output:
964724707
result:
ok answer is '964724707'
Test #34:
score: 0
Accepted
time: 63ms
memory: 38848kb
input:
685624 665877 563708
output:
257429683
result:
ok answer is '257429683'
Test #35:
score: 0
Accepted
time: 41ms
memory: 38896kb
input:
692290 942095 553970
output:
82511143
result:
ok answer is '82511143'
Test #36:
score: 0
Accepted
time: 67ms
memory: 38872kb
input:
579579 765702 631728
output:
954001361
result:
ok answer is '954001361'
Test #37:
score: 0
Accepted
time: 66ms
memory: 38732kb
input:
756854 634736 567170
output:
393747028
result:
ok answer is '393747028'
Test #38:
score: 0
Accepted
time: 77ms
memory: 38940kb
input:
649175 997874 511181
output:
242172216
result:
ok answer is '242172216'
Test #39:
score: 0
Accepted
time: 45ms
memory: 38856kb
input:
786431 1000000 999999
output:
627359027
result:
ok answer is '627359027'