Submission #435420

# Submission time Handle Problem Language Result Execution time Memory
435420 2021-06-23T10:06:17 Z mraron Fountain Parks (IOI21_parks) C++17
5 / 100
930 ms 58924 KB
#include "parks.h"
#include<bits/stdc++.h>
using namespace std;

struct dsu {
	vector<int> par;
	vector<int> sz;
	dsu(int n) : par(n,-1) {sz.assign(n,1);}
	
	int get(int x) {
		if(par[x]==-1) return x;
		return par[x]=get(par[x]);
	}
	
	void merge(int x, int y) {
		int px=get(x), py=get(y);
		if(px==py) return ;
		
		if(sz[px]>sz[py]) {
			swap(px,py);
			swap(x,y); //:) lyft
		}
		
		sz[py]+=sz[px];
		par[px]=py;
	}
};

int d0[4][2]={{-1,0},{1,0},{0,1},{0,-1}};

pair<int,int> kp(pair<int,int> a, pair<int,int> b) {
	return {(a.first+b.first)/2, (a.second+b.second)/2};
}

int construct_roads(std::vector<int> x, std::vector<int> y) {
    if (x.size() == 1) {
		build({}, {}, {}, {});
		return 1;
    }
    
    int n=x.size();
    vector<pair<pair<int,int>, int>> ord;
    vector<pair<int,int>> lst;
    for(int i=0;i<n;++i) {
		ord.push_back({{x[i], y[i]}, i});
		lst.push_back({x[i], y[i]});
	}
    
    sort(ord.begin(), ord.end());
    
    auto ker=[&](pair<int,int> coords) -> int {
		auto it=lower_bound(ord.begin(), ord.end(), make_pair(coords, 0));
		if(it==ord.end() || it->first!=coords) return -1;
		return it->second;
	};
    
    dsu d(n);
    vector<pair<int,int>> edgs;
    for(int i=0;i<n;++i) {
		for(int j=0;j<4;++j) {
			int nx=x[i]+d0[j][0]*2, ny=y[i]+d0[j][1]*2;
			int ind=ker(make_pair(nx,ny));
			if(ind!=-1) {
				if(d.get(i)!=d.get(ind)) {
					d.merge(i, ind);
					edgs.push_back({i, ind});
				}
			}
		}
	}
	
	if(d.sz[d.get(0)]!=n) {
		return 0;
	} 
	
	map<pair<int,int>, int> cnt;
	set<pair<int, pair<int,int>>> st;
	map<pair<int,int>, int> in_st;
	for(int i=0;i<(int)edgs.size();++i) {
		st.insert({0, edgs[i]});
		in_st[edgs[i]]=1;
	}

	map<pair<int,int>, pair<int,int>> kozpont;
	for(int i=0;i<(int)edgs.size();++i) {
		kozpont[kp(lst[edgs[i].first], lst[edgs[i].second])]=edgs[i];
	}

	map<pair<int,int>, pair<int,int>> rel;
	
	set<pair<int,int>> benches_set;
	
	while(!st.empty()) {
		auto akt=*st.begin();st.erase(st.begin());
		in_st[akt.second]=0;
		if(akt.first==-2) assert(0);
		pair<int,int> first_point=lst[akt.second.first];
		pair<int,int> second_point=lst[akt.second.second];
		
		pair<int,int> alt1=kp(first_point, second_point);
		pair<int,int> alt2=alt1;
		if(first_point.first!=second_point.first) {
			alt1.second--;
			alt2.second++;
		}else {
			alt1.first--;
			alt2.first++;
		}
		
		pair<int,int> bench;
		if(benches_set.find(alt1)==benches_set.end()) {
			bench=alt1;
		}else if(benches_set.find(alt2)==benches_set.end()) {
			bench=alt2;
		}else {
			assert(0); //?
		}
		
		rel[akt.second]=bench;
		for(int i=0;i<4;++i) {
			int nx=bench.first+d0[i][0], ny=bench.second+d0[i][1];
			pair<int,int> ind={nx,ny};
			if(kozpont.count(ind) && in_st[kozpont[ind]]) {
				st.erase({cnt[kozpont[ind]]--, kozpont[ind]});
				st.insert({cnt[kozpont[ind]], kozpont[ind]});
			}
		}
	}
	
	vector<pair<int,int>> benches(edgs.size());
	for(int i=0;i<(int)edgs.size();++i) {
		benches[i]=rel[edgs[i]];
	}
    
    vector<int> A(edgs.size()),B(edgs.size()),C(edgs.size()),D(edgs.size());
    for(int i=0;i<(int)edgs.size();++i) A[i]=edgs[i].first;
    for(int i=0;i<(int)edgs.size();++i) B[i]=edgs[i].second;
    for(int i=0;i<(int)edgs.size();++i) C[i]=benches[i].first;
    for(int i=0;i<(int)edgs.size();++i) D[i]=benches[i].second;
    
    build(A,B,C,D);
    
    return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
17 Runtime error 1 ms 332 KB Execution killed with signal 6
18 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
17 Runtime error 1 ms 332 KB Execution killed with signal 6
18 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Incorrect 1 ms 204 KB Tree @(199999, 199999) appears more than once: for edges on positions 0 and 1
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
17 Incorrect 930 ms 58924 KB Tree @(100001, 100001) appears more than once: for edges on positions 130005 and 130006
18 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 371 ms 29548 KB Output is correct
10 Correct 35 ms 3224 KB Output is correct
11 Correct 150 ms 16176 KB Output is correct
12 Correct 36 ms 4684 KB Output is correct
13 Correct 36 ms 2940 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 366 ms 29560 KB Output is correct
17 Runtime error 1 ms 332 KB Execution killed with signal 6
18 Halted 0 ms 0 KB -