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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252232#6736. Alice and Bobucup-team191#AC ✓133ms81668kbC++141.2kb2023-11-15 16:52:462023-11-15 16:52:46

Judging History

你现在查看的是最新测评结果

  • [2023-11-15 16:52:46]
  • 评测
  • 测评结果:AC
  • 用时:133ms
  • 内存:81668kb
  • [2023-11-15 16:52:46]
  • 提交

answer

#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)

const int N=10000010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;

void ad(int&a,int b)
{
	a+=b;
	if (a>=MOD) a-=MOD;
}

int add(int a,int b)
{
	if (a+b>=MOD) return a+b-MOD;
	return a+b;
}

int mul(int a,int b)
{
	return a*1ll*b%MOD;
}

int pot(int n,int k)
{
	if (k==0) return 1;
	int r=pot(n,k/2);
	r=mul(r,r);
	if (k%2) r=mul(r,n);
	return r;
}

int n,fac[N],inf[N];

int cho(int a,int b)
{
	if (b<0 || b>a) return 0;
	return mul(fac[a],mul(inf[b],inf[a-b]));
}

int invcho(int a,int b)
{
	if (b<0 || b>a) return 0;
	return mul(inf[a],mul(fac[b],fac[a-b]));
}

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin>>n;
	fac[0]=1;
	for (int i=1;i<=n;++i) fac[i]=mul(fac[i-1],i);
	inf[n]=pot(fac[n],MOD-2);
	for (int i=n-1;i>=0;--i) inf[i]=mul(inf[i+1],i+1);
	int an=0;
	for (int p=0;p<n;++p)
	{
		ad(an,mul(cho(n-1-p,p),invcho(n-1,p)));
	}
	cout<<mul(an,fac[n-1])<<en;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3396kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3436kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3388kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3356kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3388kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3440kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3396kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 21ms
memory: 14036kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 106ms
memory: 63496kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 111ms
memory: 68640kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 96ms
memory: 52048kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 53ms
memory: 32184kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 77ms
memory: 57812kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 35ms
memory: 26180kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 114ms
memory: 81516kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 125ms
memory: 81668kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 133ms
memory: 81416kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"