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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#481522#9121. I Love Marathon ContestCrysflyTL 478ms5656kbC++173.7kb2024-07-17 08:07:462024-07-17 08:07:48

Judging History

你现在查看的是最新测评结果

  • [2024-07-17 08:07:48]
  • 评测
  • 测评结果:TL
  • 用时:478ms
  • 内存:5656kb
  • [2024-07-17 08:07:46]
  • 提交

answer

// what is matter? never mind. 
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2") 
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define int long long
#define ull unsigned long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
	int x;cin>>x;return x;
//    char c=getchar();int x=0;bool f=0;
//    for(;!isdigit(c);c=getchar())f^=!(c^45);
//    for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
//    if(f)x=-x;return x;
}

#define mod 998244353
struct modint{
	int x;
	modint(int o=0){x=o;}
	modint &operator = (int o){return x=o,*this;}
	modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
	modint &operator -=(modint o){return x=x-o.x<0?x-o.x+mod:x-o.x,*this;}
	modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
	modint &operator ^=(int b){
		modint a=*this,c=1;
		for(;b;b>>=1,a*=a)if(b&1)c*=a;
		return x=c.x,*this;
	}
	modint &operator /=(modint o){return *this *=o^=mod-2;}
	friend modint operator +(modint a,modint b){return a+=b;}
	friend modint operator -(modint a,modint b){return a-=b;}
	friend modint operator *(modint a,modint b){return a*=b;}
	friend modint operator /(modint a,modint b){return a/=b;}
	friend modint operator ^(modint a,int b){return a^=b;}
	friend bool operator ==(modint a,modint b){return a.x==b.x;}
	friend bool operator !=(modint a,modint b){return a.x!=b.x;}
	bool operator ! () {return !x;}
	modint operator - () {return x?mod-x:0;}
	bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}

vector<modint> fac,ifac,iv;
inline void initC(int n)
{
	if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
	int m=iv.size(); ++n;
	if(m>=n)return;
	iv.resize(n),fac.resize(n),ifac.resize(n);
	For(i,m,n-1){
		iv[i]=iv[mod%i]*(mod-mod/i);
		fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
	}
}
inline modint C(int n,int m){
	if(m<0||n<m)return 0;
	return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 200005
#define inf 0x3f3f3f3f

int n;
int b[maxn],bb[maxn];
modint res=0;

int sum[maxn];

int br(){
	For(i,1,n*2)bb[i]=b[i];
	int u=0,res=0,now=-1,cnt=n*2;
	while(1){
		if(u==n*2) u=1,++res;
		else ++u;
		if(cnt==0 && u==1) break;
		if(b[u]==-now){
			b[u]=0,now=-now;
			--cnt;
		}
	//	For(i,1,n*2)cout<<b[i]<<" "; cout<<"\n";
	}
//	cout<<res<<"\n";
	For(i,1,n*2)b[i]=bb[i];
	return res;
}
void chk(){
	int mx=0,mn=0;
	For(i,1,n*2){
		sum[i]=sum[i-1]+b[i];
		mx=max(mx,sum[i]),mn=min(mn,sum[i]);
	}
	
//	For(i,1,n*2) cout<<b[i]<<" "; cout<<"\n";
	
	int ans=mx-mn;
	{
		bool ok=0;
		Rep(i,n*2,0){
			if(sum[i]==mn){
				ok=0;
				break;
			}
			if(sum[i]==mx){
				ok=1;
				break;
			}
		}
		ans+=ok;
	}
	
//	cout<<ans<<" "; cout<<"\n";
//	int tmp=br();
//	if(tmp!=ans)exit(2343);
	
	res+=ans;
//	if(mn<0)res+=1;
}
void dfs(int u,int u1,int u2){
	if(u==2*n+1){
		chk();
		return;
	}
	if(u1) b[u]=1,dfs(u+1,u1-1,u2);
	if(u2 && u>1) b[u]=-1,dfs(u+1,u1,u2-1);
}

signed main()
{
	n=read(); initC(n*2);
	dfs(1,n,n);
	res*=2,res*=fac[n]*fac[n];
	cout<<res.x;
	return 0;
}
/*
m*(c-1) m*()
m2*() m2()

00011
01001
00011
01001
00011

10011
00111
00011
01001
00011

a[i]

3
1 1 1
1 1 1
1 1 1


QAQ
1
4 3
4 4 1 1
4 3 1 2
3 4 2 1
1
4 5
4 4 1 1
4 3 1 2
3 4 2 1
2 4 3 1
4 2 1 3
 x
xAaax
 aaa
 aaa
 x
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3472kb

input:

1

output:

2

result:

ok "2"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

2

output:

40

result:

ok "40"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

3

output:

1656

result:

ok "1656"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

4

output:

112896

result:

ok "112896"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

5

output:

11750400

result:

ok "11750400"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

6

output:

741506047

result:

ok "741506047"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

7

output:

663688356

result:

ok "663688356"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

8

output:

564862407

result:

ok "564862407"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

9

output:

161774290

result:

ok "161774290"

Test #10:

score: 0
Accepted
time: 2ms
memory: 3572kb

input:

10

output:

652045233

result:

ok "652045233"

Test #11:

score: 0
Accepted
time: 8ms
memory: 3636kb

input:

11

output:

748014862

result:

ok "748014862"

Test #12:

score: 0
Accepted
time: 28ms
memory: 3532kb

input:

12

output:

304641307

result:

ok "304641307"

Test #13:

score: 0
Accepted
time: 113ms
memory: 3576kb

input:

13

output:

729875009

result:

ok "729875009"

Test #14:

score: 0
Accepted
time: 478ms
memory: 3644kb

input:

14

output:

711836922

result:

ok "711836922"

Test #15:

score: -100
Time Limit Exceeded

input:

15

output:

920550523

result: