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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#288260#5446. 琪露诺的符卡交换catagory#20 463ms7468kbC++237.0kb2023-12-22 12:14:312024-07-04 03:14:43

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 03:14:43]
  • 评测
  • 测评结果:20
  • 用时:463ms
  • 内存:7468kb
  • [2023-12-22 12:14:31]
  • 提交

answer

#include<bits/stdc++.h>
#define LL int
#define SZ(x) ((LL)(x.size()))
using namespace std;
inline int read(){
  int q=0,w=1;
  char ch=getchar();
  while(ch>'9' || ch<'0'){if(ch=='-')w=-1;ch=getchar();}
  while(ch>='0'&&ch<='9'){q=q*10+(ch-'0');ch=getchar();}
  return q*w;
}
void write(LL x){
  if(x<0){putchar('-');x=(-x);}
  if(x>9)write(x/10);
  putchar('0'+x%10);
}
inline void writeln(LL x){write(x);puts("");}
inline void writecs(LL x){write(x);putchar(' ');}

inline void lsh(vector<LL>&vc){
  sort(vc.begin(),vc.end(),[&](LL x,LL y){return x<y;});
  vc.erase(unique(vc.begin(),vc.end()),vc.end());
  return ;
}

namespace dinic{
  const int N = 100000+95 , M = 500000+95;
  LL n,s,t;
  struct Edge{
    LL to,nxt,w,c;
  }e[M<<1];LL head[N],tot=1,cur[N];
  inline void add(LL u,LL v,LL w,LL c){
    e[++tot].to=v;e[tot].nxt=head[u];
    e[tot].w=w;e[tot].c=c;head[u]=tot;return ;
  }
  inline void add_e(LL u,LL v,LL w,LL c){
    add(u,v,w,c);add(v,u,0,-c);
  }
  inline void clear(){
    for(LL i=1;i<=n;i++)head[i]=cur[i]=0;
    n=s=t=0;tot=1;return ;
  }
  LL dis[N];bool vis[N];
  inline bool spfa(){
    for(LL i=1;i<=n;i++){dis[i]=(LL)(1e18);cur[i]=head[i];}
    queue<LL>q;q.push(s);dis[s]=0;vis[s]=1;
    while(!q.empty()){
      LL x=q.front();q.pop();vis[x]=0;
      for(LL i=head[x];i;i=e[i].nxt)
	if(dis[e[i].to]>dis[x]+e[i].c&&e[i].w){
	  dis[e[i].to]=dis[x]+e[i].c;
	  if(!vis[e[i].to]){q.push(e[i].to);vis[e[i].to]=1;}
	}
    }
    return (dis[t]!=(LL)(1e18));
  }
  bool inq[N];
  LL dfs(LL x,LL flow){
    if(x==t)return flow;
    inq[x]=1;LL lastflow=flow;
    for(LL i=cur[x];i&&flow;i=e[cur[x]].nxt){
      cur[x]=i;
      if(dis[e[i].to]==dis[x]+e[i].c&&e[i].w&&!inq[e[i].to]){
	LL d=dfs(e[i].to,min(flow,e[i].w));
	if(d){e[i].w-=d;e[i^1].w+=d;flow-=d;}
      }
    }
    inq[x]=0;
    if(lastflow==flow)dis[x]=(LL)(1e18);
    return lastflow-flow;
  }
  inline LL solve(){
    LL maxflow=0,mincost=0;
    while(spfa()){
      LL d=dfs(s,(LL)(1e18));
      maxflow+=d;
      mincost+=d*dis[t];
    }
    return maxflow;
  }
}

namespace TP{
  const int N = 200+95;
  LL lim;vector<LL>E[N];LL matchL[N],matchR[N];
  inline void clear(){
    for(LL i=1;i<=lim;i++){E[i].clear();matchL[i]=matchR[i]=0;}
    return ;
  }
  inline void add_e(LL x,LL y){E[x].push_back(y);return ;}
  bool vis[N];
  bool dfs(LL x){
    if(vis[x])return 0;
    vis[x]=1;
    for(auto y:E[x]){
      if(!matchR[y]){matchL[x]=y;matchR[y]=x;return 1;}
      if(dfs(matchR[y])){matchL[x]=y;matchR[y]=x;return 1;}
    }
    return 0;
  }
  inline void solve(LL CNT=-1){
    LL cnt=0;
    for(LL t=1;t<=lim;t++){
      for(LL x=1;x<=lim;x++)vis[x]=0;
      cnt+=dfs(t);
    }
    if(CNT!=-1)assert(CNT==cnt);
    return ;
  }
}

#define x1 x_tmp_1
#define y1 y_tmp_1

struct pt{LL x,y;};
const int N = 200+5;
int T,n;vector<pt>a[N][N];bool b[N][N];vector<vector<LL>>ans;LL __c[N][N];
inline void make(LL x0,LL y0,LL x1,LL y1){
  //  cout<<" x0 = "<<x0<<" y0 = "<<y0<<" x1 = "<<x1<<" y1 = "<<y1<<endl;
  if(x0==x1&&y0==y1){
    assert(SZ(a[x0][y0])&&!b[x0][y0]);
    a[x0][y0].pop_back();
    b[x0][y0]=1;return ;
  }
  assert(SZ(a[x0][y0])&&SZ(a[x1][y1])&&!b[x0][y1]&&!b[x1][y0]);
  pt X=a[x0][y0].back();a[x0][y0].pop_back();
  pt Y=a[x1][y1].back();a[x1][y1].pop_back();
  b[x0][y1]=b[x1][y0]=1;
  ans.push_back({X.x,X.y,Y.x,Y.y});
  return ;
}

#define PLL pair<LL,LL>
#define mp(a,b) make_pair(a,b)
#define fir first
#define sec second

#define random(a,b) (rand()%(b-a+1)+a)

vector<LL>vec[N*N*N];LL top;
int main(){
  random_device seed;srand(seed());
  T=read();
  while(T--){
    ans.clear();

    /*    n=random(200,200);
    for(LL i=1;i<=n;i++)
      for(LL j=1;j<=n;j++)__c[i][j]=i;*/
    /*    while(true){
      LL v=random(0,10);
      cerr<<" v = "<<v<<endl;
      if(v==0)break;
      LL x0=random(1,n),y0=random(1,n);
      LL x1=random(1,n),y1=random(1,n);
      swap(__c[x0][y0],__c[x1][y1]);
    }*/

    n=read();
    for(LL i=1;i<=n;i++)
      for(LL j=1;j<=n;j++)__c[i][j]=read();

    /*    cout<<n<<endl;
    for(LL i=1;i<=n;i++){
      for(LL j=1;j<=n;j++)cout<<__c[i][j]<<" ";
      cout<<endl;
    }*/

    TP::lim=n;
    for(LL i=1;i<=n;i++)
      for(LL j=1;j<=n;j++){a[i][j].clear();b[i][j]=0;}

    for(LL i=1;i<=n;i++)
      for(LL j=1;j<=n;j++){a[i][__c[i][j]].push_back((pt){i,j});}

    vector<LL>idxL(n+2),idxR(n+2);LL Id=0,S=0,T=0;
    vector<vector<LL>>idL(n+2),idR(n+2);
    S=++Id;T=++Id;
    for(LL i=1;i<=n;i++){
      idxL[i]=++Id;idL[i].resize(n+2);
      for(LL j=1;j<=n;j++)idL[i][j]=++Id;
    }
    for(LL i=1;i<=n;i++){
      idxR[i]=++Id;idR[i].resize(n+2);
      for(LL j=1;j<=n;j++)idR[i][j]=++Id;
    }
    
    for(LL t=1;t<=n;t++){
      //      cout<<"> t = "<<t<<" clock() = "<<clock()<<endl;
      dinic::clear();dinic::n=Id;dinic::s=S;dinic::t=T;
      
      for(LL i=1;i<=n;i++){
	if(!SZ(a[i][t]))continue;
	dinic::add_e(S,idxL[i],SZ(a[i][t]),0);
	for(LL k=1;k<=n;k++)
	  if((!b[i][k]))dinic::add_e(idxL[i],idL[i][k],1,0);
      }
      for(LL j=1;j<=n;j++){
	if(b[j][t])continue;
	dinic::add_e(idxR[j],T,1,0);
	for(LL k=1;k<=n;k++)
	  if(SZ(a[j][k]))dinic::add_e(idR[j][k],idxR[j],1,k);
      }
      top=0;
      for(LL i=1;i<=n;i++)
	if(SZ(a[i][t]))
	  for(LL j=1;j<=n;j++)
	    for(LL k=(t+1);k<=n;k++)
	      if((!b[i][k])&&(SZ(a[j][k]))){
		vec[top]={dinic::tot+1,i,j,k};top++;
		dinic::add_e(idL[i][k],idR[j][k],1,0);
	      }
      for(LL i=1;i<=n;i++){
	vec[top]={dinic::tot+1,i,i,t};top++;
	dinic::add_e(idxL[i],idxR[i],1,0);
      }
      LL cnt=0;
      for(LL i=1;i<=n;i++)
	if(!b[i][t])cnt++;
      LL maxflow=dinic::solve();
      assert(cnt==maxflow);
      for(LL i=0;i<top;i++)
	if(!dinic::e[vec[i][0]].w)
	  make(vec[i][1],t,vec[i][2],vec[i][3]);
      /*      cout<<" ----------> "<<endl;
      for(LL i=1;i<=n;i++){
	for(LL j=1;j<=n;j++)cout<<SZ(a[i][j])<<" ";
	cout<<endl;
      }
      cout<<" ------ "<<endl;
      for(LL i=1;i<=n;i++){
	for(LL j=1;j<=n;j++)cout<<b[i][j]<<" ";
	cout<<endl;
      }
      cout<<endl;*/
    }

    writeln(SZ(ans));
    for(LL t=0;t<SZ(ans);t++){
      for(LL i=0;i<SZ(ans[t]);i++)writecs(ans[t][i]);
      puts("");
    }
    for(LL t=0;t<SZ(ans);t++){
      LL x0=ans[t][0],y0=ans[t][1],x1=ans[t][2],y1=ans[t][3];
      swap(__c[x0][y0],__c[x1][y1]);
    }
    for(LL t=1;t<=n;t++){
      vector<LL>vec(n);
      for(LL i=1;i<=n;i++)vec[i-1]=__c[t][i];
      lsh(vec);assert(SZ(vec)==n);
    }
  }
  return 0;
}
/*
my test data:

1
4
1 1 1 2 
2 2 2 4 
3 3 3 1 
4 4 4 3 

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

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

1
5
1 4 2 1 3 
1 5 5 2 2 
3 3 3 4 2 
3 4 1 4 4 
5 2 5 5 1 
*/

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 20
Accepted

Test #1:

score: 20
Accepted
time: 165ms
memory: 6676kb

input:

7
132
96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 ...

output:

8646
59 132 1 132 
59 131 2 132 
59 130 3 132 
59 129 4 132 
59 128 5 132 
59 127 6 132 
59 126 7 132 
59 125 8 132 
59 124 9 132 
59 123 10 132 
59 122 11 132 
59 121 12 132 
59 120 13 132 
59 119 14 132 
59 118 15 132 
59 117 16 132 
59 116 17 132 
59 115 18 132 
59 114 19 132 
59 113 20 132 
59 1...

result:

ok your solution is correct.

Test #2:

score: 0
Accepted
time: 54ms
memory: 6480kb

input:

8
14
13 13 13 13 13 13 13 13 13 13 13 13 13 13
7 7 7 7 7 7 7 7 7 7 7 7 7 7
8 8 8 8 8 8 8 8 8 8 8 8 8 8
14 14 14 14 14 14 14 14 14 14 14 14 14 14
5 5 5 5 5 5 5 5 5 5 5 5 5 5
4 4 4 4 4 4 4 4 4 4 4 4 4 4
1 1 1 1 1 1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10 10 10 10 10 10
2 2 2 2 2 2 2 2 2 2 2 2 2 2
9...

output:

91
7 14 1 14 
7 13 2 14 
7 12 3 14 
7 11 4 14 
7 10 5 14 
7 9 6 14 
7 8 8 14 
7 7 9 14 
7 6 10 14 
7 5 11 14 
7 4 12 14 
7 3 13 14 
7 2 14 14 
9 13 1 13 
9 12 2 13 
9 11 3 13 
9 10 4 13 
9 9 5 13 
9 8 6 13 
9 7 8 13 
9 6 10 13 
9 5 11 13 
9 4 12 13 
9 3 13 13 
9 2 14 13 
13 12 1 12 
13 11 2 12 
13 1...

result:

ok your solution is correct.

Test #3:

score: 0
Accepted
time: 88ms
memory: 6336kb

input:

4
82
20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 1...

output:

3321
56 82 1 82 
56 81 2 82 
56 80 3 82 
56 79 4 82 
56 78 5 82 
56 77 6 82 
56 76 7 82 
56 75 8 82 
56 74 9 82 
56 73 10 82 
56 72 11 82 
56 71 12 82 
56 70 13 82 
56 69 14 82 
56 68 15 82 
56 67 16 82 
56 66 17 82 
56 65 18 82 
56 64 19 82 
56 63 20 82 
56 62 21 82 
56 61 22 82 
56 60 23 82 
56 59...

result:

ok your solution is correct.

Test #4:

score: 0
Accepted
time: 463ms
memory: 7468kb

input:

8
3
1 1 1
3 3 3
2 2 2
3
1 1 1
3 3 3
2 2 2
1
1
11
5 5 5 5 5 5 5 5 5 5 5
3 3 3 3 3 3 3 3 3 3 3
1 1 1 1 1 1 1 1 1 1 1
9 9 9 9 9 9 9 9 9 9 9
4 4 4 4 4 4 4 4 4 4 4
11 11 11 11 11 11 11 11 11 11 11
2 2 2 2 2 2 2 2 2 2 2
6 6 6 6 6 6 6 6 6 6 6
8 8 8 8 8 8 8 8 8 8 8
10 10 10 10 10 10 10 10 10 10 10
7 7 7 7 7...

output:

3
1 3 2 3 
1 2 3 3 
3 2 2 2 
3
1 3 2 3 
1 2 3 3 
3 2 2 2 
0
55
3 11 1 11 
3 10 2 11 
3 9 4 11 
3 8 5 11 
3 7 6 11 
3 6 7 11 
3 5 8 11 
3 4 9 11 
3 3 10 11 
3 2 11 11 
7 10 1 10 
7 9 2 10 
7 8 4 10 
7 7 5 10 
7 6 6 10 
7 5 8 10 
7 4 9 10 
7 3 10 10 
7 2 11 10 
2 9 1 9 
2 8 4 9 
2 7 5 9 
2 6 6 9 
2 5 ...

result:

ok your solution is correct.

Subtask #2:

score: 0
Runtime Error

Dependency #1:

100%
Accepted

Test #5:

score: 0
Runtime Error

input:

5
17
9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6
2 2 2 2 2 2 2 2 2 2 2 2 11 2 2 2 2
4 4 4 4 4 4 10 4 4 4 4 4 4 4 4 4 4
10 10 10 10 10 10 8 10 10 10 10 10 10 10 10 10 10
12 12 12 12 12 12 12 12 12 12 12 12 14 12 12 12 12
14 14 14 14 14 14 14 14 14 14 14 12 14 14 14 14 14
16 16...

output:


result:


Subtask #3:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%