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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#481508#7413. DeterminantCatluoWA 7ms84336kbC++143.6kb2024-07-17 07:40:262024-07-17 07:40:27

Judging History

你现在查看的是最新测评结果

  • [2024-07-17 07:40:27]
  • 评测
  • 测评结果:WA
  • 用时:7ms
  • 内存:84336kb
  • [2024-07-17 07:40:26]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
namespace IO{
    char buff[1<<21],*p1=buff,*p2=buff;
    char getch(){
        return p1==p2&&(p2=((p1=buff)+fread(buff,1,1<<21,stdin)),p1==p2)?EOF:*p1++;
    }
    template<typename T>
    void read(T &x){
        char ch=getch();int fl=1;x=0;
        while(ch>'9'||ch<'0'){if(ch=='-')fl=-1;ch=getch();}
        while(ch<='9'&&ch>='0'){x=x*10+ch-48;ch=getch();}
        x*=fl;
    }
    template<typename T,typename ...Args>
    void read(T &x,Args& ...args){
        read(x);read(args...);
    }
    char obuf[1<<21],*p3=obuf;
    void putch(char ch){
        if(p3-obuf<(1<<21))*p3++=ch;
        else fwrite(obuf,p3-obuf,1,stdout),p3=obuf,*p3++=ch;
    }
    char ch[100];
    template<typename T>
    void write(T x){
        if(!x)return putch('0');
        if(x<0)putch('-'),x*=-1;
        int top=0;
        while(x)ch[++top]=x%10+48,x/=10;
        while(top)putch(ch[top]),top--;
    }
    template<typename T,typename ...Args>
    void write(T x,Args ...args){
        write(x);write(args...);
    }
    void flush(){fwrite(obuf,p3-obuf,1,stdout);}
}
using namespace IO;
const int N=25005,K=25,mod=998244353;
inline int Mod(int x){return x>=mod?x-mod:x;}
inline int poww(int x,int y){
	int sum=1;
	while(y){
		if(y&1)sum=1ll*sum*x%mod;
		x=1ll*x*x%mod;
		y>>=1;
	}
	return sum;
}
int n,m,MAXNK,Num;
struct graph{
	vector<int>id;
	int to[K][K];
	vector<int>t[K];
}BCC[N];
int color[N],Wid[N];
vector<int>to[N];
int f[N][2],g[N][2];
int dfn[N],stk[N],low[N],top,dfs_clock;
void tarjan(int i,int fa){
//	cout<<fa<<"->"<<i<<'\n';
    low[i]=dfn[i]=++dfs_clock;
    stk[++top]=i;
    for(auto j:to[i]){
    	if(j==fa)continue;
		if(dfn[j]==0)tarjan(j,i), low[i]=min(low[i],low[j]);
		else low[i]=min(low[i],dfn[j]);
    }
    if(low[i]==dfn[i]){
        Num++;
        while(1){
            int x=stk[top--];
            color[x]=Num;
            Wid[x]=BCC[Num].id.size();
            BCC[Num].id.push_back(x);
            if(x==i) break;
        }
    }
}
int det(int a[K][K],int len){
	int ans=1;
	for(int i=0;i<len;i++){
		int id=-1;
		for(int j=i;j<len;j++)if(a[j][i]){id=j;break;}
		if(id==-1)return 0;
		if(id!=i)ans=mod-ans;
		swap(a[i],a[id]);
		int Inv=poww(a[i][i],mod-2);
		for(int j=i+1;j<len;j++){
			int s=mod-1ll*a[j][i]*Inv%mod;
			for(int k=i;k<len;k++)a[j][k]=Mod(a[j][k]+1ll*a[i][k]*s%mod);
		}
	}
	for(int i=0;i<len;i++)ans=1ll*ans*a[i][i]%mod;
	return ans;
}
void calc(int X,int fa){
	int rt=1,len=BCC[X].id.size();
	for(auto x:BCC[X].id){
		g[x][0]=1;
		for(auto y:to[x]){
			if(color[x]==color[y]){
				BCC[X].to[Wid[x]][Wid[y]]=BCC[X].to[Wid[y]][Wid[x]]=1;
			}else{
				if(color[y]==fa)rt=x;
				else{
					calc(color[y],X);
					g[x][1]=Mod(1ll*g[x][1]*f[y][1]%mod+1ll*g[x][0]*f[color[y]][0]%mod);
					g[x][0]=1ll*g[x][0]*f[color[y]][1]%mod;
				}
			}
		}
	}
	int b[K][K],c[K][K];
	memcpy(b,BCC[X].to,sizeof BCC[X].to);
	for(int i=0;i<len;i++){
		for(int j=0;j<len;j++){
			if(i==j)b[i][j]=g[BCC[X].id[i]][1];
			else b[i][j]=1ll*b[i][j]*g[BCC[X].id[i]][0]%mod;
		}
	}
	memcpy(c,b,sizeof b);
	f[X][1]=det(b,len);
	rt=Wid[rt];
	for(int i=0;i<len;i++)c[i][rt]=c[rt][i]=0;
	for(int i=0;i<len;i++)for(int j=0;j<len;j++){
		if(i<rt&&j<rt)continue;
		if(i<rt)c[i][j]=c[i][j+1];
		else if(j<rt)c[i][j]=c[i+1][j];
		else c[i][j]=c[i+1][j+1];
	}
	f[X][0]=det(c,len-1);
}
signed main(){
	read(n,m,MAXNK);
	for(int i=1;i<=m;i++){
		int x,y;
		read(x,y);
		to[x].push_back(y);
		to[y].push_back(x);
	}
	tarjan(1,0);
	calc(Num,0);
	write(f[Num][1]);
	flush();
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 3ms
memory: 84260kb

input:

4 3 1
1 2
2 3
3 4

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 81388kb

input:

6 6 3
2 3
5 6
2 5
1 2
3 4
6 2

output:

998244352

result:

ok 1 number(s): "998244352"

Test #3:

score: 0
Accepted
time: 3ms
memory: 83540kb

input:

10 15 10
1 8
1 7
6 7
2 8
6 9
1 2
4 9
4 10
4 6
5 6
3 8
9 10
8 10
3 5
2 7

output:

35

result:

ok 1 number(s): "35"

Test #4:

score: 0
Accepted
time: 7ms
memory: 84336kb

input:

10 9 1
1 2
1 3
3 4
3 5
1 6
3 7
6 8
3 9
8 10

output:

0

result:

ok 1 number(s): "0"

Test #5:

score: 0
Accepted
time: 0ms
memory: 83476kb

input:

1 0 1

output:

0

result:

ok 1 number(s): "0"

Test #6:

score: 0
Accepted
time: 0ms
memory: 83608kb

input:

10 9 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: -100
Wrong Answer
time: 3ms
memory: 83496kb

input:

10 12 3
3 5
5 9
5 10
1 2
1 3
2 3
4 5
4 6
5 6
7 8
7 9
8 9

output:

998244350

result:

wrong answer 1st numbers differ - expected: '4', found: '998244350'