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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#488527#1262. Justice For Everyonenullptr_qwqAC ✓771ms10080kbC++204.1kb2024-07-24 09:46:512024-07-24 09:46:52

Judging History

This is the latest submission verdict.

  • [2024-07-24 09:46:52]
  • Judged
  • Verdict: AC
  • Time: 771ms
  • Memory: 10080kb
  • [2024-07-24 09:46:51]
  • Submitted

answer

// 私は猫です

#include<bits/stdc++.h>
#define ull unsigned long long
#define ll long long
#define pb push_back
#define mkp make_pair
#define fi first
#define se second
#define inf 1000000000
#define infll 1000000000000000000ll
#define pii pair<int,int>
#define rep(i,a,b,c) for(int i=(a);i<=(b);i+=(c))
#define per(i,a,b,c) for(int i=(a);i>=(b);i-=(c))
#define F(i,a,b) for(int i=(a);i<=(b);i++)
#define dF(i,a,b) for(int i=(a);i>=(b);i--)
#define wh(lzm) while(lzm--)
#define cmh(sjy) while(sjy--)
#define lowbit(x) (x&(-x))
#define HH printf("\n")
#define eb emplace_back
using namespace std;
ll read(){
	ll x=0,f=1;char c=getchar();
	while(c<'0'||c>'9'){if(c=='-') f=-1;c=getchar();}
	while(c>='0'&&c<='9') x=(x<<3)+(x<<1)+(c^48),c=getchar();
	return x*f;
}
const int mod=998244353,maxn=500005;
inline int qpow(int x,ll y){
	int rt=1;
	for(;y;y>>=1,x=1ll*x*x%mod) if(y&1) rt=1ll*rt*x%mod;
	return rt;
}
inline void inc(int &x,int y){ x=(x+y>=mod)?(x+y-mod):(x+y); }
inline void dec(int &x,int y){ x=(x>=y)?(x-y):(x+mod-y); }
inline void mul(int &x,int y){ x=1ll*x*y%mod; }
inline int add(int x,int y){ return (x+y>=mod)?(x+y-mod):(x+y); }
inline int sub(int x,int y){ return (x>=y)?(x-y):(x+mod-y); }
inline int prod(int x,int y){ return 1ll*x*y%mod; }
inline void chkmax(int &x,int y){ x=max(x,y); }
inline void chkmin(int &x,int y){ x=min(x,y); }
// inline void chkmax(ll &x,ll y){ x=max(x,y); }
// inline void chkmin(ll &x,ll y){ x=min(x,y); }
inline int mypow(int x,int y,int Mod){
	x%=Mod; int rt=1;
	for(;y;y>>=1,x=(1ll*x*x)%Mod) if(y&1) rt=(1ll*rt*x)%Mod;
	return rt;
}
mt19937 rng(time(0));
inline int rd(int l,int r){ return rng()%(r-l+1)+l; }
// mt19937 eng(std::chrono::steady_clock::now().time_since_epoch().count());
// int rd(int l,int r) { return std::uniform_int_distribution<int>(l,r)(eng); }
namespace combi{
	int fac[maxn],ifac[maxn],inv[maxn];
	void init(int N){
		fac[0]=ifac[0]=inv[0]=1;
		F(i,1,N) fac[i]=1ll*fac[i-1]*i%mod;
		ifac[N]=qpow(fac[N],mod-2);
		dF(i,N-1,1) ifac[i]=1ll*ifac[i+1]*(i+1)%mod;
		F(i,1,N) inv[i]=1ll*ifac[i]*fac[i-1]%mod;
	}
	inline int C(int n,int m){
		if(m>n||n<0||m<0) return 0;
		return 1ll*fac[n]*ifac[m]%mod*ifac[n-m]%mod;
	}
}
using namespace combi;
pii a[35];
int n,m,mat[35][35],pw[205];
int det(int n){
	int ans=1;
	F(i,1,n) F(j,i+1,n){
    	for(;mat[i][i];){
     	 	const int d=mat[j][i]/mat[i][i];
        	F(k,i,n) mat[j][k]=(mat[j][k]-1ll*d*mat[i][k]%mod+mod)%mod;
        	swap(mat[i],mat[j]),ans=mod-ans;
    	}
    	swap(mat[i],mat[j]),ans=mod-ans;
	}
	F(i,1,n) mul(ans,mat[i][i]);
	return ans;
}
vector<int>mul_x(vector<int>a,int t){// a*=(1+tx)
	a.push_back(0);
	dF(i,(int)a.size()-1,1) a[i]=add(a[i-1],1ll*t*a[i]%mod);
	mul(a[0],t);
	return a;
}
vector<int>div_x(vector<int>a,int t){// a/=(1+tx)
	vector<int>c((int)a.size()-1);
	dF(i,(int)a.size()-1,1) c[i-1]=a[i],dec(a[i-1],1ll*t*a[i]%mod);
	return c;
}
vector<int>operator+(vector<int>a,vector<int>b){
	F(i,0,(int)a.size()-1) inc(a[i],b[i]);
	return a;
}
vector<int>operator*(vector<int>a,int t){
	for(int &i:a)mul(i,t);
	return a;
}
void solve(){
	n=read(),init(maxn-3);
	F(i,1,n)a[i].fi=read();
	F(i,1,n)a[i].se=read();
	sort(a+1,a+n+1);
	F(i,1,n)if(a[i-1].se>a[i].se||a[i].fi>a[i].se)return puts("0"),void();
	F(i,1,n)m+=a[i].se-a[i].fi;
	if(m&1)return puts("0"),void();
	m>>=1;
	vector<int>vec;
	F(i,0,m){
		pw[0]=1;
		F(j,1,200)pw[j]=1ll*pw[j-1]*i%mod;
		F(j,1,n)F(k,1,n){
			mat[j][k]=0;
			const int d=a[k].second-a[j].first;
			F(l,0,d>>1) inc(mat[j][k],1ll*pw[l]*ifac[l]%mod*ifac[d-(l<<1)]%mod);
		}
		vec.push_back(det(n));
	}
  	vector<int>P(m+1,0),tmp(1,1);
  	F(i,0,m) tmp=mul_x(tmp,mod-i);
  	F(i,0,m){
  		int coef=1;
  		F(j,0,m)if(i^j)mul(coef,sub(i,j));
  		P=P+div_x(tmp,mod-i)*(1ll*vec[i]*qpow(coef,mod-2)%mod);
  	}
  	int ans=0;
  	F(i,0,m){
  		int val=1ll*fac[m]*fac[(m-i)<<1]%mod*ifac[m-i]%mod*P[i]%mod;
  		if(i&1)dec(ans,val);
  		else inc(ans,val);
  	}
  	mul(ans,qpow(qpow(2,m),mod-2));
  	printf("%d",ans);
}
signed main(){
	int sjy=1;
	cmh(sjy) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 6ms
memory: 9732kb

input:

3
1 2 3
3 4 5

output:

1

result:

ok answer is '1'

Test #2:

score: 0
Accepted
time: 6ms
memory: 9644kb

input:

3
1 2 3
7 8 9

output:

42

result:

ok answer is '42'

Test #3:

score: 0
Accepted
time: 3ms
memory: 9744kb

input:

3
1 4 7
3 6 9

output:

6

result:

ok answer is '6'

Test #4:

score: 0
Accepted
time: 3ms
memory: 9672kb

input:

1
1
3

output:

0

result:

ok answer is '0'

Test #5:

score: 0
Accepted
time: 6ms
memory: 9928kb

input:

1
1
1

output:

1

result:

ok answer is '1'

Test #6:

score: 0
Accepted
time: 6ms
memory: 9644kb

input:

2
1 4
4 7

output:

1

result:

ok answer is '1'

Test #7:

score: 0
Accepted
time: 6ms
memory: 9768kb

input:

10
10 9 8 7 6 1 2 3 4 5
11 12 13 114 115 120 129 128 127 126

output:

0

result:

ok answer is '0'

Test #8:

score: 0
Accepted
time: 3ms
memory: 9672kb

input:

30
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 131

output:

0

result:

ok answer is '0'

Test #9:

score: 0
Accepted
time: 308ms
memory: 9784kb

input:

30
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130

output:

936606510

result:

ok answer is '936606510'

Test #10:

score: 0
Accepted
time: 7ms
memory: 9672kb

input:

30
16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199
110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199

output:

0

result:

ok answer is '0'

Test #11:

score: 0
Accepted
time: 36ms
memory: 10080kb

input:

30
16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199
110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 200

output:

836228983

result:

ok answer is '836228983'

Test #12:

score: 0
Accepted
time: 21ms
memory: 9684kb

input:

10
10 9 8 7 6 5 4 3 2 1
110 109 108 107 106 105 104 103 102 101

output:

422463757

result:

ok answer is '422463757'

Test #13:

score: 0
Accepted
time: 771ms
memory: 9884kb

input:

30
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200

output:

575061951

result:

ok answer is '575061951'