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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#418970 | #7632. Balanced Arrays | hbs | AC ✓ | 124ms | 19460kb | C++20 | 826b | 2024-05-23 16:43:47 | 2024-05-23 16:43:48 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define N 1000005
int n,m,ans;
const int mod=998244353;
int jc[N],njc[N];
int ksm(int x,int y){
int ans=1;
while(y){
if(y&1) ans=ans*x%mod;
x=x*x%mod,y>>=1;
}
return ans;
}
int C(int x,int y){
if(x<y||x<0||y<0) return 0;
return jc[x]*njc[y]%mod*njc[x-y]%mod;
}
int W(int x,int y){
return C(x+y-2,y-1);
}
int F(int x,int y){
return (W(x+1,y+1)*W(x+1,y+1)%mod-W(x,y+2)*W(x+2,y)%mod+mod)%mod;
}
signed main(){
scanf("%lld%lld",&n,&m);
jc[0]=njc[0]=1;
for(int i=1;i<=max(n,m)*2;i++) jc[i]=jc[i-1]*i%mod,njc[i]=ksm(jc[i],mod-2);
for(int i=0,o=1;i<=min(n,m);i++,o*=-1){
ans+=o*C(n,i)*F(n,m-i)%mod,ans%=mod,ans=(ans+mod)%mod;
//printf("%lld %lld\n",C(n,i),F(n,m-i)%mod);
}
printf("%lld\n",ans);
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5876kb
input:
2 2
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 124ms
memory: 19380kb
input:
500000 500000
output:
984531374
result:
ok 1 number(s): "984531374"
Test #3:
score: 0
Accepted
time: 113ms
memory: 19460kb
input:
500000 1
output:
219705876
result:
ok 1 number(s): "219705876"
Test #4:
score: 0
Accepted
time: 114ms
memory: 19348kb
input:
1 500000
output:
500001
result:
ok 1 number(s): "500001"
Test #5:
score: 0
Accepted
time: 117ms
memory: 19460kb
input:
500000 353535
output:
33730077
result:
ok 1 number(s): "33730077"
Test #6:
score: 0
Accepted
time: 121ms
memory: 19400kb
input:
353535 500000
output:
182445298
result:
ok 1 number(s): "182445298"
Test #7:
score: 0
Accepted
time: 112ms
memory: 19456kb
input:
499999 499999
output:
933220940
result:
ok 1 number(s): "933220940"
Test #8:
score: 0
Accepted
time: 124ms
memory: 19456kb
input:
499999 499998
output:
899786345
result:
ok 1 number(s): "899786345"
Test #9:
score: 0
Accepted
time: 95ms
memory: 19200kb
input:
377773 400009
output:
206748715
result:
ok 1 number(s): "206748715"
Test #10:
score: 0
Accepted
time: 108ms
memory: 19448kb
input:
499999 100001
output:
482775773
result:
ok 1 number(s): "482775773"
Test #11:
score: 0
Accepted
time: 121ms
memory: 19352kb
input:
444445 488884
output:
70939759
result:
ok 1 number(s): "70939759"
Test #12:
score: 0
Accepted
time: 120ms
memory: 19176kb
input:
488885 444449
output:
591315327
result:
ok 1 number(s): "591315327"
Test #13:
score: 0
Accepted
time: 109ms
memory: 19392kb
input:
500000 111
output:
313439156
result:
ok 1 number(s): "313439156"
Test #14:
score: 0
Accepted
time: 108ms
memory: 18592kb
input:
333333 444444
output:
403492103
result:
ok 1 number(s): "403492103"
Test #15:
score: 0
Accepted
time: 117ms
memory: 19392kb
input:
499994 343433
output:
334451699
result:
ok 1 number(s): "334451699"
Test #16:
score: 0
Accepted
time: 109ms
memory: 19116kb
input:
477774 411113
output:
63883341
result:
ok 1 number(s): "63883341"
Test #17:
score: 0
Accepted
time: 97ms
memory: 18472kb
input:
123456 432109
output:
238795570
result:
ok 1 number(s): "238795570"
Test #18:
score: 0
Accepted
time: 101ms
memory: 18880kb
input:
131331 467777
output:
834790039
result:
ok 1 number(s): "834790039"
Test #19:
score: 0
Accepted
time: 110ms
memory: 19452kb
input:
500000 2
output:
304727284
result:
ok 1 number(s): "304727284"
Test #20:
score: 0
Accepted
time: 1ms
memory: 5836kb
input:
1111 111
output:
98321603
result:
ok 1 number(s): "98321603"
Test #21:
score: 0
Accepted
time: 121ms
memory: 19276kb
input:
416084 493105
output:
916827025
result:
ok 1 number(s): "916827025"
Test #22:
score: 0
Accepted
time: 30ms
memory: 13620kb
input:
53888 138663
output:
57263952
result:
ok 1 number(s): "57263952"
Test #23:
score: 0
Accepted
time: 92ms
memory: 17908kb
input:
219161 382743
output:
304889787
result:
ok 1 number(s): "304889787"
Test #24:
score: 0
Accepted
time: 73ms
memory: 15368kb
input:
181392 318090
output:
12528742
result:
ok 1 number(s): "12528742"
Test #25:
score: 0
Accepted
time: 99ms
memory: 18728kb
input:
135930 422947
output:
554153000
result:
ok 1 number(s): "554153000"
Test #26:
score: 0
Accepted
time: 68ms
memory: 15212kb
input:
280507 210276
output:
812816587
result:
ok 1 number(s): "812816587"
Test #27:
score: 0
Accepted
time: 97ms
memory: 18836kb
input:
253119 420465
output:
124024302
result:
ok 1 number(s): "124024302"
Test #28:
score: 0
Accepted
time: 100ms
memory: 18608kb
input:
446636 97448
output:
150388382
result:
ok 1 number(s): "150388382"
Test #29:
score: 0
Accepted
time: 68ms
memory: 14480kb
input:
284890 126665
output:
786559507
result:
ok 1 number(s): "786559507"
Test #30:
score: 0
Accepted
time: 40ms
memory: 12952kb
input:
186708 28279
output:
607509026
result:
ok 1 number(s): "607509026"
Extra Test:
score: 0
Extra Test Passed