Submission #645971

# Submission time Handle Problem Language Result Execution time Memory
645971 2022-09-28T11:21:49 Z jamezzz Fountain Parks (IOI21_parks) C++17
25 / 100
805 ms 70288 KB
#include "parks.h"
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define maxn 200005
#define pb push_back

typedef pair<int,int> ii;

int dx[2]={2,0},dy[2]={0,2};
bool vis[maxn],bad[maxn],weird[maxn];
vector<ii> squares;
map<ii,int> fid,sid,eid,use;
vector<int> AL[maxn],par[maxn];
int p[maxn],rnk[maxn];

int fp(int i){return (p[i]==i)?i:p[i]=fp(p[i]);}
void join(int x,int y){
	x=fp(x),y=fp(y);
	if(x==y)return;
	if(rnk[x]<rnk[y])p[x]=y;
	else p[y]=x;
	if(rnk[x]==rnk[y])++rnk[x];
}

inline bool fin(int x,int y){
	return fid.find(ii(x,y))!=fid.end();
}

inline bool sin(int x,int y){
	return sid.find(ii(x,y))!=sid.end();
}

inline bool ein(int x,int y){
	return eid.find(ii(x,y))!=eid.end();
}

void dfs(int u,int p){
	//printf("dfs: %d %d\n",u,p);
	if(p!=-1){
		auto[x,y]=squares[u];
		ii f1,f2;
		if(p==par[u][0]){
			if((x+y)%4==0){//vertical
				f1={x-1,y-1},f2={x-1,y+1};
			}
			else{//horizontal
				f1={x-1,y-1},f2={x+1,y-1};
			}
		}
		else{
			if((x+y)%4==0){//vertical
				f1={x+1,y-1},f2={x+1,y+1};
			}
			else{//horizontal
				f1={x-1,y+1},f2={x+1,y+1};
			}
		}
		int i1=fid[f1],i2=fid[f2];
		if(ein(i1,i2))bad[eid[{i1,i2}]]=true;
		else bad[eid[{i2,i1}]]=true;
	}
	for(int v:AL[u]){
		if(vis[v])continue;
		vis[v]=true;
		dfs(v,u);
	}
}

int construct_roads(vector<int> x,vector<int> y){
    int n=x.size();
    for(int i=0;i<n;++i){
		fid[{x[i],y[i]}]=i;
	}
	int scnt=0,ecnt=0;
	for(int i=0;i<n;++i){
		if(fin(x[i]+2,y[i])&&fin(x[i],y[i]+2)&&fin(x[i]+2,y[i]+2)){
			sid[{x[i]+1,y[i]+1}]=scnt++;
			squares.push_back({x[i]+1,y[i]+1});
		}
		for(int j=0;j<2;++j){
			int nx=x[i]+dx[j],ny=y[i]+dy[j];
			if(fin(nx,ny))eid[{i,fid[{nx,ny}]}]=ecnt++;
		}
	}
	for(auto it=sid.begin();it!=sid.end();++it){
		auto[x,y]=it->fi;
		assert(it->se!=scnt);
		if((x+y)%4==0){//vertical
			for(int dx:{-2,2}){
				if(sin(x+dx,y)){
					AL[sid[{x+dx,y}]].push_back(it->se);
					par[it->se].push_back(sid[{x+dx,y}]);
				}
				else{
					AL[scnt].push_back(it->se);
					par[it->se].push_back(scnt);
				}
			}
		}
		else{//horizontal
			for(int dy:{-2,2}){
				if(sin(x,y+dy)){
					AL[sid[{x,y+dy}]].push_back(it->se);
					par[it->se].push_back(sid[{x,y+dy}]);
				}
				else{
					AL[scnt].push_back(it->se);
					par[it->se].push_back(scnt);
				}
			}
		}
	}
	vis[scnt]=true;
	dfs(scnt,-1);
	/*
	for(auto it=sid.begin();it!=sid.end();++it){
		auto[x,y]=it->fi;
		if((x+y)%4==0){//vertical
			int cnt=0;
			for(int dx:{-1,1}){
				ii f1={x+dx,y-1},f2={x+dx,y+1};
				int i1=fid[f1],i2=fid[f2];
				if(ein(i1,i2)&&!bad[eid[{i1,i2}]])++cnt;
				else if(ein(i2,i1)&&!bad[eid[{i2,i1}]])++cnt;
			}
			if(cnt==2)assert(false);
		}
		else{//horizontal
			int cnt=0;
			for(int dy:{-1,1}){
				ii f1={x-1,y+dy},f2={x+1,y+dy};
				int i1=fid[f1],i2=fid[f2];
				if(ein(i1,i2)&&!bad[eid[{i1,i2}]])++cnt;
				else if(ein(i2,i1)&&!bad[eid[{i2,i1}]])++cnt;
			}
			if(cnt==2)assert(false);
		}
	}
	*/
	for(int i=0;i<n;++i)p[i]=i;
	vector<int> u,v,a,b;
	for(auto it=eid.begin();it!=eid.end();++it){
		if(bad[it->se])continue;
		auto[i,j]=it->fi;
		if(fp(i)==fp(j))continue;
		join(i,j);
		int x1=x[i],x2=x[j],y1=y[i],y2=y[j];
		int bx,by;
		if(x1==x2){
			if((x1-1+(y1+y2)/2)%4==0)bx=x1-1,by=(y1+y2)/2;
			else bx=x1+1,by=(y1+y2)/2;
		}
		else{
			if(((x1+x2)/2+y1-1)%4!=0)bx=(x1+x2)/2,by=y1-1;
			else bx=(x1+x2)/2,by=y1+1;
		}
		u.pb(i),v.pb(j),a.pb(bx),b.pb(by);
		int idk=use[{bx,by}];
		use[{bx,by}]=true;
	}
	for(int i=0;i<n;++i){
		if(fp(i)!=fp(0))return 0;
	}
	build(u,v,a,b);
    return 1;
}

Compilation message

parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:161:7: warning: unused variable 'idk' [-Wunused-variable]
  161 |   int idk=use[{bx,by}];
      |       ^~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
17 Correct 6 ms 9684 KB Output is correct
18 Correct 5 ms 9700 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9620 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 6 ms 9684 KB Output is correct
23 Incorrect 805 ms 70288 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
17 Correct 6 ms 9684 KB Output is correct
18 Correct 5 ms 9700 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9620 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 6 ms 9684 KB Output is correct
23 Incorrect 805 ms 70288 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
17 Correct 6 ms 9684 KB Output is correct
18 Correct 5 ms 9700 KB Output is correct
19 Correct 5 ms 9696 KB Output is correct
20 Correct 621 ms 61792 KB Output is correct
21 Correct 616 ms 61928 KB Output is correct
22 Correct 599 ms 61856 KB Output is correct
23 Correct 542 ms 54112 KB Output is correct
24 Correct 291 ms 26600 KB Output is correct
25 Correct 640 ms 55420 KB Output is correct
26 Correct 527 ms 55428 KB Output is correct
27 Correct 589 ms 61884 KB Output is correct
28 Correct 606 ms 61876 KB Output is correct
29 Correct 668 ms 61804 KB Output is correct
30 Correct 652 ms 61832 KB Output is correct
31 Correct 5 ms 9696 KB Output is correct
32 Correct 33 ms 13832 KB Output is correct
33 Correct 99 ms 18420 KB Output is correct
34 Correct 584 ms 61924 KB Output is correct
35 Correct 21 ms 12116 KB Output is correct
36 Correct 104 ms 21460 KB Output is correct
37 Correct 254 ms 32804 KB Output is correct
38 Correct 209 ms 30784 KB Output is correct
39 Correct 355 ms 38532 KB Output is correct
40 Correct 446 ms 46356 KB Output is correct
41 Correct 530 ms 54140 KB Output is correct
42 Correct 704 ms 61876 KB Output is correct
43 Correct 6 ms 9684 KB Output is correct
44 Correct 5 ms 9684 KB Output is correct
45 Correct 5 ms 9684 KB Output is correct
46 Correct 5 ms 9620 KB Output is correct
47 Correct 5 ms 9704 KB Output is correct
48 Correct 5 ms 9704 KB Output is correct
49 Correct 6 ms 9684 KB Output is correct
50 Correct 5 ms 9684 KB Output is correct
51 Correct 5 ms 9684 KB Output is correct
52 Correct 5 ms 9684 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 8 ms 10068 KB Output is correct
55 Correct 9 ms 10356 KB Output is correct
56 Correct 232 ms 35976 KB Output is correct
57 Correct 423 ms 47636 KB Output is correct
58 Correct 432 ms 47596 KB Output is correct
59 Correct 5 ms 9652 KB Output is correct
60 Correct 5 ms 9684 KB Output is correct
61 Correct 5 ms 9704 KB Output is correct
62 Correct 561 ms 61776 KB Output is correct
63 Correct 540 ms 62000 KB Output is correct
64 Correct 514 ms 61612 KB Output is correct
65 Correct 11 ms 10580 KB Output is correct
66 Correct 16 ms 11476 KB Output is correct
67 Correct 245 ms 35984 KB Output is correct
68 Correct 409 ms 48952 KB Output is correct
69 Correct 639 ms 61792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
17 Correct 638 ms 61776 KB Output is correct
18 Correct 571 ms 61768 KB Output is correct
19 Correct 626 ms 61860 KB Output is correct
20 Correct 733 ms 64928 KB Output is correct
21 Correct 591 ms 56628 KB Output is correct
22 Correct 5 ms 9684 KB Output is correct
23 Correct 75 ms 18648 KB Output is correct
24 Correct 42 ms 14712 KB Output is correct
25 Correct 209 ms 26860 KB Output is correct
26 Correct 327 ms 38908 KB Output is correct
27 Correct 323 ms 37348 KB Output is correct
28 Correct 394 ms 44256 KB Output is correct
29 Correct 521 ms 50884 KB Output is correct
30 Correct 640 ms 57736 KB Output is correct
31 Correct 738 ms 64580 KB Output is correct
32 Correct 666 ms 64468 KB Output is correct
33 Correct 562 ms 62012 KB Output is correct
34 Correct 13 ms 10836 KB Output is correct
35 Correct 20 ms 11824 KB Output is correct
36 Correct 263 ms 36764 KB Output is correct
37 Correct 426 ms 50000 KB Output is correct
38 Incorrect 595 ms 57064 KB Solution announced impossible, but it is possible.
39 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9708 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9704 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 6 ms 9680 KB Output is correct
7 Correct 5 ms 9696 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 267 ms 35992 KB Output is correct
10 Correct 20 ms 12492 KB Output is correct
11 Correct 94 ms 23832 KB Output is correct
12 Correct 27 ms 13908 KB Output is correct
13 Correct 72 ms 19928 KB Output is correct
14 Correct 7 ms 9940 KB Output is correct
15 Correct 10 ms 10068 KB Output is correct
16 Correct 211 ms 35972 KB Output is correct
17 Correct 6 ms 9684 KB Output is correct
18 Correct 5 ms 9700 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9620 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 6 ms 9684 KB Output is correct
23 Incorrect 805 ms 70288 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -