QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#288223 | #5446. 琪露诺的符卡交换 | catagory# | 20 | 34ms | 9420kb | C++23 | 7.0kb | 2023-12-22 11:22:26 | 2024-07-04 03:14:38 |
Judging History
answer
#include<bits/stdc++.h>
#define LL long long
#define SZ(x) ((LL)(x.size()))
using namespace std;
long long read(){
long long 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);
}
void writeln(LL x){write(x);puts("");}
void writecs(LL x){write(x);putchar(' ');}
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 long long N = 100000+95 , M = 500000+95;
LL n,s,t;
struct Edge{
LL to,nxt,w;
}e[M<<1];LL head[N],tot=1,cur[N];
void add(LL u,LL v,LL w){
e[++tot].to=v;e[tot].nxt=head[u];
e[tot].w=w;head[u]=tot;return ;
}
void add_e(LL u,LL v,LL w){
add(u,v,w);add(v,u,0);
}
void clear(){
for(LL i=1;i<=n;i++)head[i]=cur[i]=0;
n=s=t=0;tot=1;return ;
}
LL dep[N];
bool bfs(){
for(LL i=1;i<=n;i++){dep[i]=-1;cur[i]=head[i];}
queue<LL>q;q.push(s);dep[s]=0;
while(!q.empty()){
LL x=q.front();q.pop();
for(LL i=head[x];i;i=e[i].nxt)
if(dep[e[i].to]==-1&&e[i].w){
dep[e[i].to]=dep[x]+1;
q.push(e[i].to);
}
}
return (dep[t]!=-1);
}
LL dfs(LL x,LL flow){
if(x==t)return flow;
LL lastflow=flow;
for(LL i=cur[x];i;i=e[cur[x]].nxt){
cur[x]=i;
if(dep[e[i].to]==dep[x]+1&&e[i].w){
LL d=dfs(e[i].to,min(flow,e[i].w));
if(d){e[i].w-=d;e[i^1].w+=d;flow-=d;}
}
}
if(lastflow==flow)dep[x]=-1;
return lastflow-flow;
}
LL solve(){
LL maxflow=0;
while(bfs())maxflow+=dfs(s,(LL)(1e18));
// cerr<<" maxflow = "<<maxflow<<endl;
return maxflow;
}
}
namespace TP{
const long long N = 200+95;
LL lim;vector<LL>E[N];LL matchL[N],matchR[N];
void clear(){
for(LL i=1;i<=lim;i++){E[i].clear();matchL[i]=matchR[i]=0;}
return ;
}
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;
}
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 long long N = 200+95;
long long T,n;vector<pt>a[N][N];bool b[N][N];vector<vector<LL>>ans;LL __c[N][N];
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 ;
}
// cout<<" SZ(a[x0][y0]) = "<<SZ(a[x0][y0])<<endl;
// cout<<" SZ(a[x1][y1]) = "<<SZ(a[x1][y1])<<endl;
// cout<<" b[x0][y1] = "<<b[x0][y1]<<" b[x1][y0] = "<<b[x1][y0]<<endl;
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)
int main(){
random_device seed;srand(seed());
T=read();
while(T--){
ans.clear();n=read();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++)__c[i][j]=read();
/* for(LL i=1;i<=n;i++)
for(LL j=1;j<=n;j++)__c[i][j]=i;
for(LL i=1;i<=n;i++)
swap(__c[i][n],__c[random(1,n)][n]);*/
for(LL i=1;i<=n;i++)
for(LL j=1;j<=n;j++){a[i][__c[i][j]].push_back((pt){i,j});}
/* for(LL i=1;i<=n;i++){
for(LL j=1;j<=n;j++)cout<<__c[i][j]<<" ";
cout<<endl;
}*/
/* {
vector<LL>ord(n+2);vector<LL>vis(n+2);for(LL i=1;i<=n;i++)vis[i]=0;
for(LL v=1;v<=n;v++)
for(LL i=1;i<=n;i++)
if(!vis[i]&&SZ(a[i][v])>=(n-1)){ord[v]=i;vis[i]=1;break;}
vector<pt>tmp[n+2][n+2];
for(LL i=1;i<=n;i++)
for(LL j=1;j<=n;j++)tmp[i][j]=a[i][j];
for(LL i=1;i<=n;i++)
for(LL j=1;j<=n;j++)a[i][j]=tmp[ord[i]][j];
}*/
/* cout<<endl;
cout<<" a : "<<endl;
for(LL i=1;i<=n;i++){
for(LL j=1;j<=n;j++)cout<<SZ(a[i][j])<<" ";
cout<<endl;
}
cout<<endl;*/
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++){
/* vector<vector<PLL>>ext(n+2);
for(LL i=1;i<=n;i++)ext[i].resize(n+2);
for(LL i=1;i<=n;i++)
for(LL j=1;j<=n;j++)ext[i][j]=mp(-1,-1);*/
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]));
for(LL k=1;k<=n;k++)
if((!SZ(a[i][k]))&&(!b[i][k]))dinic::add_e(idxL[i],idL[i][k],1);
}
for(LL j=1;j<=n;j++){
if(b[j][t])continue;
dinic::add_e(idxR[j],T,1);
for(LL k=1;k<=n;k++)
if(SZ(a[j][k])>=1)dinic::add_e(idR[j][k],idxR[j],1);
}
vector<vector<LL>>vec;
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((!SZ(a[i][k]))&&(!b[i][k])&&SZ(a[j][k])>=1){
vec.push_back({dinic::tot+1,i,j,k});
dinic::add_e(idL[i][k],idR[j][k],1);
}
for(LL i=1;i<=n;i++){
vec.push_back({dinic::tot+1,i,i,t});
dinic::add_e(idxL[i],idxR[i],1);
}
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<SZ(vec);i++)
if(!dinic::e[vec[i][0]].w)
make(vec[i][1],t,vec[i][2],vec[i][3]);
/* for(LL i=1;i<=n;i++)
if(!b[i][t]){
assert(SZ(a[i][t]));
make(i,t,i,t);
}*/
/* cout<<"------------------------------------> t = "<<t<<" : "<<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;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 20
Accepted
Test #1:
score: 20
Accepted
time: 11ms
memory: 8396kb
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: 3ms
memory: 9008kb
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: 10ms
memory: 9312kb
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: 34ms
memory: 9420kb
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:
133 12 17 1 14 12 16 2 16 12 15 3 13 12 14 4 17 12 13 5 17 12 12 6 17 12 11 7 17 12 10 8 17 12 9 9 17 12 8 10 17 12 7 11 2 12 6 13 17 12 5 14 16 12 4 15 17 12 3 17 17 13 3 16 14 3 17 1 17 3 16 2 15 3 15 4 16 3 14 5 16 3 12 6 16 3 11 7 16 3 10 8 16 3 9 9 16 3 8 10 16 3 7 11 1...
result:
Subtask #3:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
0%