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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#818109#4606. 无限之环lhc0707100 ✓7ms13880kbC++144.0kb2024-12-17 16:27:032024-12-17 16:27:03

Judging History

This is the latest submission verdict.

  • [2024-12-17 16:27:03]
  • Judged
  • Verdict: 100
  • Time: 7ms
  • Memory: 13880kb
  • [2024-12-17 16:27:03]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
const int N=2e6+5,INF=1e9;
const int dx[]={0,-1,0,1,0};
const int dy[]={0,0,1,0,-1};
const int px[]={0,3,4,1,2};
//  a  b  c  d  数的二进制表示 
//  8  4  2  1  位权 
// 左 下 右 上  方向
//  4  3  2  1  编号 
int n,m,a[N],head[N],tot=1,S,T,sum;
struct edge{int v,w,c,nxt;}e[N];
inline void add(int u,int v,int w,int c)
{
	e[++tot].v=v,e[tot].w=w,e[tot].c=c;
	e[tot].nxt=head[u],head[u]=tot;
}
inline void addedge(int u,int v,int w,int c){add(u,v,w,c),add(v,u,-w,0);}
int cur[N],dis[N],mincost,maxflow;
bool vis[N]; queue<int> q;
inline bool spfa()
{
	for(int i=0;i<=T;i++)dis[i]=INF,vis[i]=false;
	dis[S]=0,vis[S]=true; q.push(S);
	while(!q.empty())
	{
		int u=q.front(); q.pop(); vis[u]=false;
		for(int i=head[u];i;i=e[i].nxt)
		{
			int v=e[i].v;
			if(dis[v]>dis[u]+e[i].w&&e[i].c)
			{
				dis[v]=dis[u]+e[i].w;
				if(!vis[v])q.push(v),vis[v]=true;
			}
		}
	}
	return dis[T]!=INF;
}
int dfs(int u,int minf)
{
	if(u==T||!minf) return minf;
	int flow=0,f; vis[u]=true;
	for(int i=cur[u];i;i=e[i].nxt)
	{
		int v=e[i].v; cur[u]=i;
		if(!vis[v]&&e[i].c&&dis[v]==dis[u]+e[i].w)
		{
			f=dfs(v,min(minf,e[i].c));
			if(f)minf-=f,flow+=f,e[i].c-=f,e[i^1].c+=f,mincost+=f*e[i].w;
			if(!minf) return vis[u]=false,flow;
		}	
	} 
	return vis[u]=false,flow;
}
inline void MCMF()
{
	while(spfa())
	{
		for(int i=1;i<=T;i++)cur[i]=head[i];
		while(int x=dfs(S,INF))maxflow+=x;
	}
}
inline int num(int i,int j,int op){return (i-1)*m+j+op*n*m;}
inline void work(int x,int y,int val)
{
	if((x+y)&1)
	{
		addedge(S,num(x,y,0),0,INF);
		for(int i=1;i<=4;i++)
		{
			int idx=x+dx[i],idy=y+dy[i];
			if(idx<1||idx>n||idy<1||idy>m)continue;
			addedge(num(x,y,i),num(idx,idy,px[i]),0,1);
		}
		for(int i=1;i<=4;i++)if((val&(1<<(i-1))))addedge(num(x,y,0),num(x,y,i),0,1),++sum;
		int up=num(x,y,1),rt=num(x,y,2),dn=num(x,y,3),lt=num(x,y,4);
		switch(val)
		{
			case  1:addedge(up,rt,1,1),addedge(up,dn,2,1),addedge(up,lt,1,1);break;
			case  2:addedge(rt,up,1,1),addedge(rt,dn,1,1),addedge(rt,lt,2,1);break;
			case  4:addedge(dn,up,2,1),addedge(dn,lt,1,1),addedge(dn,rt,1,1);break;
			case  8:addedge(lt,up,1,1),addedge(lt,rt,2,1),addedge(lt,dn,1,1);break;
			case  3:addedge(rt,lt,1,1),addedge(up,dn,1,1);break;
			case  6:addedge(dn,up,1,1),addedge(rt,lt,1,1);break;
			case  9:addedge(lt,rt,1,1),addedge(up,dn,1,1);break;
			case 12:addedge(lt,rt,1,1),addedge(dn,up,1,1);break;
			case  7:addedge(up,lt,1,1),addedge(rt,lt,2,1),addedge(dn,lt,1,1);break;
			case 11:addedge(up,dn,2,1),addedge(rt,dn,1,1),addedge(lt,dn,1,1);break;
			case 13:addedge(up,rt,1,1),addedge(dn,rt,1,1),addedge(lt,rt,2,1);break;
			case 14:addedge(rt,up,1,1),addedge(lt,up,1,1),addedge(dn,up,2,1);break;
		}
	}
	else
	{
		addedge(num(x,y,0),T,0,INF);
		for(int i=1;i<=4;i++)if((val&(1<<(i-1))))addedge(num(x,y,i),num(x,y,0),0,1),++sum;
		int up=num(x,y,1),rt=num(x,y,2),dn=num(x,y,3),lt=num(x,y,4); 
		switch(val)
		{
			case  1:addedge(rt,up,1,1),addedge(dn,up,2,1),addedge(lt,up,1,1);break;
			case  2:addedge(up,rt,1,1),addedge(lt,rt,2,1),addedge(dn,rt,1,1);break;
			case  4:addedge(up,dn,2,1),addedge(lt,dn,1,1),addedge(rt,dn,1,1);break;
			case  8:addedge(up,lt,1,1),addedge(dn,lt,1,1),addedge(rt,lt,2,1);break;
			case  3:addedge(lt,rt,1,1),addedge(dn,up,1,1);break;
			case  6:addedge(up,dn,1,1),addedge(lt,rt,1,1);break;
			case  9:addedge(rt,lt,1,1),addedge(dn,up,1,1);break;
			case 12:addedge(rt,lt,1,1),addedge(up,dn,1,1);break;
			case  7:addedge(lt,rt,2,1),addedge(lt,up,1,1),addedge(lt,dn,1,1);break;
			case 11:addedge(dn,up,2,1),addedge(dn,lt,1,1),addedge(dn,rt,1,1);break;
			case 13:addedge(rt,up,1,1),addedge(rt,dn,1,1),addedge(rt,lt,2,1);break;
			case 14:addedge(up,rt,1,1),addedge(up,lt,1,1),addedge(up,dn,2,1);break;
		}
	}
}
int main()
{
	cin.tie(0)->sync_with_stdio(false);cout.tie(0); 
	cin>>n>>m; S=n*m*5+1; T=S+1;
	for(int i=1,val;i<=n;i++)for(int j=1;j<=m;j++)cin>>val,work(i,j,val);
	MCMF();
	if(maxflow*2!=sum) cout<<-1;
	else cout<<mincost;
	return 0;
} 

詳細信息


Pretests


Final Tests

Test #1:

score: 5
Accepted
time: 2ms
memory: 11820kb

input:

4 4
8 2 2 0
5 8 11 9
5 12 14 11
12 6 8 12

output:

17

result:

ok 1 number(s): "17"

Test #2:

score: 5
Accepted
time: 0ms
memory: 11796kb

input:

4 4
9 3 1 9
14 3 12 7
11 13 14 9
3 3 0 0

output:

16

result:

ok 1 number(s): "16"

Test #3:

score: 5
Accepted
time: 6ms
memory: 11976kb

input:

14 124
6 8 3 10 10 7 2 6 11 10 2 1 3 1 14 10 10 14 10 4 8 13 1 8 2 2 0 0 12 7 8 4 10 4 0 0 9 10 13 2 4 13 14 12 9 1 2 8 1 0 6 6 4 4 4 2 2 2 10 1 1 13 2 4 0 2 7 3 6 14 4 4 9 10 9 4 4 2 6 1 4 4 10 4 2 10 10 1 1 8 6 11 10 13 6 9 11 2 8 4 0 6 9 6 2 2 14 7 14 3 12 7 14 14 10 13 1 8 12 8 9 8 3 3
1 8 15 10...

output:

1272

result:

ok 1 number(s): "1272"

Test #4:

score: 5
Accepted
time: 0ms
memory: 11772kb

input:

13 113
0 1 11 12 2 3 11 11 14 4 1 6 8 0 1 1 8 8 8 1 0 0 0 12 12 0 1 8 0 0 2 6 9 11 1 0 8 3 0 9 4 4 0 2 6 13 12 4 9 6 6 4 0 0 12 7 1 3 4 0 0 0 2 3 8 2 0 0 6 10 14 2 6 11 4 2 0 9 13 10 7 9 2 12 10 12 0 3 3 2 0 0 2 4 0 0 6 10 14 6 3 11 14 10 4 4 3 10 9 2 14 4 0
3 10 12 9 15 15 7 5 4 2 14 12 6 8 8 9 3 6...

output:

1013

result:

ok 1 number(s): "1013"

Test #5:

score: 5
Accepted
time: 3ms
memory: 13796kb

input:

114 13
0 12 6 1 8 3 10 14 3 12 11 6 2
8 5 12 4 0 12 14 9 5 13 14 14 11
4 13 6 2 10 12 4 9 7 15 7 15 11
1 9 1 0 6 7 10 15 10 13 1 4 5
8 0 2 1 15 9 2 1 0 11 15 3 8
11 8 13 6 14 13 8 8 10 7 3 11 2
14 7 7 13 8 2 3 13 11 15 14 3 8
5 8 0 2 4 4 13 5 5 13 15 14 4
9 1 0 1 11 6 6 15 14 5 7 15 4
2 6 8 8 1 11 1...

output:

1100

result:

ok 1 number(s): "1100"

Test #6:

score: 5
Accepted
time: 5ms
memory: 11708kb

input:

103 14
0 0 4 8 9 11 9 6 2 4 2 0 9 8
1 1 5 11 14 12 14 11 0 5 11 10 15 9
5 6 11 5 9 10 11 15 12 4 4 0 1 5
11 10 15 13 5 1 10 15 14 1 4 6 9 5
14 13 15 6 12 10 14 15 7 1 1 13 13 5
5 13 15 4 2 10 3 5 0 2 9 10 15 12
3 15 14 3 4 2 0 7 6 5 13 13 13 3
1 11 4 12 4 9 10 12 8 5 8 6 10 7
4 12 3 10 14 15 7 14 10...

output:

1064

result:

ok 1 number(s): "1064"

Test #7:

score: 5
Accepted
time: 5ms
memory: 12040kb

input:

111 14
0 9 10 1 2 0 4 3 2 4 10 2 0 1
4 5 0 0 5 4 14 14 3 4 9 14 11 12
5 5 0 3 13 2 11 7 4 4 11 7 6 0
1 6 10 15 7 1 13 11 7 14 11 1 0 0
4 1 4 6 1 0 5 8 14 7 7 4 4 0
5 7 10 3 4 8 13 6 9 4 14 7 10 9
8 8 0 5 0 0 6 6 0 0 5 4 0 8
8 10 4 2 0 2 15 15 10 10 7 1 0 0
12 10 9 0 8 4 14 9 3 10 10 1 4 0
14 10 13 0...

output:

1143

result:

ok 1 number(s): "1143"

Test #8:

score: 5
Accepted
time: 3ms
memory: 13880kb

input:

13 100
0 0 9 12 3 1 1 7 8 0 9 12 8 2 3 1 0 3 12 0 8 6 2 1 12 6 0 9 9 6 10 13 2 12 7 12 4 9 10 4 8 8 6 10 3 0 4 12 10 7 6 9 11 13 13 10 6 6 3 1 6 4 8 12 14 12 8 2 1 11 2 0 2 7 8 0 9 12 1 8 2 0 12 8 0 2 6 1 14 10 14 14 2 2 12 10 12 4 1 1
0 0 5 5 2 1 6 11 0 9 11 12 8 1 11 15 14 15 15 2 4 12 8 9 11 15 8...

output:

971

result:

ok 1 number(s): "971"

Test #9:

score: 5
Accepted
time: 6ms
memory: 12080kb

input:

43 44
6 11 6 9 2 0 3 1 6 13 10 7 1 8 4 13 1 6 6 0 3 10 3 0 3 7 11 3 4 8 4 4 3 7 10 7 10 9 8 4 8 1 8 4
9 15 11 15 9 6 13 1 7 13 13 11 7 15 9 5 1 15 12 6 7 12 15 13 13 11 9 7 9 12 10 7 15 13 14 15 4 1 1 8 12 7 5 5
2 11 8 9 3 12 4 0 9 13 14 3 7 15 12 4 6 13 0 5 12 15 14 12 1 2 4 15 6 0 8 9 7 10 7 9 9 6...

output:

1351

result:

ok 1 number(s): "1351"

Test #10:

score: 5
Accepted
time: 4ms
memory: 11756kb

input:

44 44
1 8 0 0 2 8 1 0 0 9 10 12 0 12 11 3 8 14 4 3 11 2 0 2 4 1 9 8 12 9 9 1 0 12 9 2 10 10 10 10 3 0 1 8
1 0 0 4 11 12 2 1 0 1 9 15 2 14 15 15 10 11 3 13 15 1 0 0 0 0 11 14 11 13 15 10 7 15 15 14 10 10 10 4 4 0 9 9
14 1 6 15 7 5 2 9 10 1 5 13 2 9 15 12 1 1 7 7 7 9 4 14 10 9 1 12 7 14 14 13 14 15 11...

output:

1483

result:

ok 1 number(s): "1483"

Test #11:

score: 5
Accepted
time: 3ms
memory: 11824kb

input:

43 43
1 10 1 1 9 1 4 0 4 12 14 10 13 14 14 1 6 7 6 2 4 4 3 6 7 1 0 4 13 3 3 10 10 2 2 10 14 10 10 13 10 12 0
3 8 9 15 11 11 7 9 15 14 8 0 5 6 11 2 5 3 11 8 8 8 5 5 3 10 1 8 3 12 5 9 10 7 6 0 1 4 11 14 9 7 3
14 8 5 8 8 14 14 6 2 1 1 12 6 10 7 12 11 10 10 10 7 6 5 5 9 8 0 1 0 2 2 4 0 9 11 10 10 3 8 1 ...

output:

1330

result:

ok 1 number(s): "1330"

Test #12:

score: 5
Accepted
time: 7ms
memory: 11748kb

input:

42 42
8 14 13 10 14 6 0 0 2 12 10 8 8 6 6 1 0 0 1 3 1 10 10 10 10 13 9 1 10 12 6 7 14 8 8 2 7 2 4 0 9 1
2 11 11 8 14 3 2 3 11 8 2 1 5 14 15 15 10 10 3 6 8 12 10 2 12 14 15 10 13 15 13 2 5 6 7 1 3 12 1 12 14 0
0 11 15 10 15 10 15 15 13 7 7 6 11 15 15 7 1 2 12 10 9 6 9 0 7 7 14 4 11 14 9 1 6 7 10 8 4 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #13:

score: 5
Accepted
time: 3ms
memory: 13800kb

input:

43 43
4 1 0 2 0 0 3 10 7 13 4 6 10 10 9 4 7 1 0 4 11 4 12 9 8 0 3 10 4 1 14 14 4 0 0 3 10 4 1 8 1 2 1
0 8 0 7 9 3 15 8 9 15 10 15 12 6 3 4 13 8 4 6 13 10 14 1 11 3 9 10 6 8 4 9 10 10 10 13 1 1 6 4 3 11 5
8 14 2 14 11 14 11 0 8 8 8 6 9 15 14 1 5 3 11 7 3 8 15 10 11 11 9 2 15 6 0 1 6 8 13 13 14 5 0 1 ...

output:

1368

result:

ok 1 number(s): "1368"

Test #14:

score: 5
Accepted
time: 7ms
memory: 11780kb

input:

42 44
4 12 6 2 2 1 6 10 14 7 4 2 1 0 1 14 10 1 3 9 8 8 4 0 2 4 9 2 4 8 3 0 4 8 10 13 8 9 2 9 8 0 4 1
2 3 11 4 5 5 8 2 11 15 6 9 13 8 2 7 8 0 2 5 3 13 10 14 10 4 11 13 12 0 5 12 6 0 12 6 9 14 2 4 0 9 11 4
0 0 5 2 6 5 6 12 12 7 5 1 3 2 0 3 14 0 8 13 2 9 9 2 9 4 5 13 11 4 1 14 9 3 6 3 14 3 7 14 8 5 3 1...

output:

1432

result:

ok 1 number(s): "1432"

Test #15:

score: 5
Accepted
time: 3ms
memory: 13808kb

input:

43 42
0 6 3 2 3 8 0 4 9 6 9 8 9 8 3 9 8 0 1 2 10 11 6 2 13 10 9 0 9 10 9 4 10 10 2 4 3 3 10 2 4 6
4 11 7 11 7 8 0 0 13 11 12 6 9 12 14 11 5 12 7 8 1 5 5 6 14 10 14 0 5 9 7 8 10 10 1 0 11 15 2 0 0 2
1 11 10 11 13 14 6 7 3 14 3 8 0 3 12 6 7 5 3 14 13 5 14 12 4 0 1 6 12 12 15 7 12 2 1 4 13 7 13 7 3 0
8...

output:

1357

result:

ok 1 number(s): "1357"

Test #16:

score: 5
Accepted
time: 7ms
memory: 11764kb

input:

44 43
8 11 10 13 10 10 13 10 10 7 8 0 6 2 12 10 10 2 9 4 9 10 1 1 8 14 11 8 8 1 6 8 8 1 3 3 4 3 10 10 14 6 2
0 5 1 5 2 10 14 11 11 15 6 2 14 9 8 12 8 0 5 4 13 11 2 12 12 8 4 0 9 3 4 2 0 0 14 15 2 12 10 10 3 7 12
9 15 11 6 8 10 11 6 5 13 12 0 8 5 6 9 0 8 11 12 11 13 14 12 6 10 10 11 9 5 9 7 3 9 2 4 2...

output:

1445

result:

ok 1 number(s): "1445"

Test #17:

score: 5
Accepted
time: 7ms
memory: 11824kb

input:

43 42
8 8 12 8 14 11 14 10 11 13 10 11 12 0 2 3 14 10 6 8 1 4 8 10 9 8 0 3 6 0 2 1 0 8 10 14 1 4 3 6 8 2
12 6 5 6 14 5 1 1 13 7 6 3 14 2 5 3 7 0 5 2 14 11 7 11 15 15 4 9 15 10 9 6 10 12 3 15 10 7 14 7 13 12
0 11 6 1 8 12 4 2 7 14 9 1 3 8 9 1 1 4 13 1 4 4 13 15 13 5 2 1 2 8 0 4 4 9 14 1 3 3 5 7 10 9
...

output:

1364

result:

ok 1 number(s): "1364"

Test #18:

score: 5
Accepted
time: 7ms
memory: 11976kb

input:

42 44
8 3 10 8 1 8 6 10 7 14 10 12 0 6 12 4 10 10 10 7 7 11 10 14 10 10 2 9 12 0 4 12 8 1 0 12 12 1 0 0 0 4 1 2
13 11 1 0 13 14 9 4 13 11 10 11 1 4 6 3 9 2 2 4 3 9 4 3 0 6 10 6 1 1 5 1 4 7 3 4 4 9 6 1 2 6 1 8
11 6 3 10 14 8 13 3 1 14 10 10 10 10 6 5 12 10 7 8 12 14 11 13 10 6 1 8 14 6 1 12 6 11 15 2...

output:

1399

result:

ok 1 number(s): "1399"

Test #19:

score: 5
Accepted
time: 3ms
memory: 13800kb

input:

43 42
4 0 0 2 2 6 12 1 4 6 10 10 10 10 4 0 0 8 2 8 6 12 0 0 6 6 3 12 4 1 6 8 4 6 3 10 6 4 8 8 11 3
5 0 0 12 14 9 3 15 15 11 9 1 4 12 1 2 3 10 11 7 11 13 6 8 6 9 12 15 1 0 5 3 10 6 3 11 14 0 8 8 5 2
5 0 0 5 9 1 0 5 4 5 1 4 6 4 4 9 9 13 15 14 13 15 9 6 13 10 12 3 6 8 3 12 8 1 0 8 12 6 0 0 13 3
5 3 14 ...

output:

1281

result:

ok 1 number(s): "1281"

Test #20:

score: 5
Accepted
time: 7ms
memory: 11824kb

input:

42 43
2 1 2 1 3 12 4 8 8 9 7 8 4 8 10 12 8 8 12 7 3 2 2 1 0 2 11 9 12 2 6 10 7 3 0 1 2 4 1 3 10 10 12
4 5 4 10 6 14 9 11 13 5 14 12 8 2 12 15 14 13 15 15 11 9 7 7 3 13 14 3 6 7 11 0 5 4 2 14 11 4 6 3 12 10 9
0 11 12 4 10 14 3 6 7 13 5 5 4 15 9 7 10 13 6 7 13 10 3 3 11 14 12 10 2 14 7 10 9 12 12 7 6 ...

output:

1319

result:

ok 1 number(s): "1319"

Extra Test:

score: 0
Extra Test Passed