oj.uz

Submission #1039674

# Submission time Handle Problem Language Result Execution time Memory
1039674 2024-07-31T07:27:19 Z Alihan_8 Fountain Parks (IOI21_parks) C++17
5 / 100
 743 ms 80740 KB 
#include "parks.h"

#include <bits/stdc++.h>

using namespace std;

#define all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
//#define int long long

using i64 = long long;

template <class F, class _S>
bool chmin(F &u, const _S &v){
    bool flag = false;
    if ( u > v ){
        u = v; flag |= true;
    }
    return flag;
}

template <class F, class _S>
bool chmax(F &u, const _S &v){
    bool flag = false;
    if ( u < v ){
        u = v; flag |= true;
    }
    return flag;
}

struct Dsu{
	vector <int> fa;
	
	int n;
	
	Dsu(int n) : n(n) {
		fa.resize(n);
		iota(all(fa), 0);
	}
	
	int get(int u){
		return u ^ fa[u] ? fa[u] = get(fa[u]) : u;
	}
	
	bool merge(int u, int v){
		u = get(u), v = get(v);
		
		if ( u == v ) return false;
		
		fa[v] = u;
		
		return true;
	}
	
};

int dx[] = {2, -2, 0, 0};
int dy[] = {0, 0, -2, 2};

int construct_roads(std::vector<int> x, std::vector<int> y) {
    int n = x.size();
    
    map <int,map<int,int>> id;
    
    for ( int i = 0; i < n; i++ ){
		id[x[i]][y[i]] = i;
	}
	
	vector <ar<int,2>> e;
	
	Dsu ds(n);
	
	map <ar<int,2>,int> mp;
	
	for ( int i = 0; i < n; i++ ){
		for ( int j = 0; j < 4; j++ ){
			int u = x[i] + dx[j], v = y[i] + dy[j];
			
			if ( !id[u].count(v) ) continue;
			
			if ( ds.merge(id[u][v], i) ){
				e.pb({id[u][v], i});
				
				mp[{id[u][v], i}] = mp[{i, id[u][v]}] = (int)e.size() - 1;
			}
		}
	}
	
	if ( (int)e.size() != n - 1 ){
		return 0;
	}
	
	//~ for ( int i = 0; i + 1 < n; i++ ){
		//~ cout << e[i][0] << ' ' << e[i][1] << " " << i << ln;
	//~ } cout << ln;
	
	vector <vector<int>> adj(n * 2), rev(n * 2);
	
	auto add = [&](int u, int v){
		//~ cout << u << " " << v << ln;
		
		adj[u].pb(v);
		rev[v].pb(u);
	};
	
	for ( int i = 0; i < n - 1; i++ ){
		auto [u, v] = e[i];
		
		if ( x[u] == x[v] ){ // vertical
			if ( y[u] > y[v] ) swap(u, v);
			
			{ // 0
				int a = -1, b = -1;
				
				if ( id[x[u] + 2].count(y[u]) ){
					int j = id[x[u] + 2][y[u]]; a = j;
					
					if ( mp.count({u, j}) ){
						int k = mp[{u, j}];
						
						add(i, k);
					}
				}
				
				if ( id[x[u] + 2].count(y[v]) ){
					int j = id[x[u] + 2][y[v]]; b = j;
					
					if ( mp.count({j, v}) ){
						int k = mp[{j, v}];
						
						add(i, k + n);
					}
				}
				
				if ( mp.count({a, b}) ){
					add(i, mp[{a, b}]);
				}
			}
			
			{
				int a = -1, b = -1;
					
				if ( id[x[u] - 2].count(y[u]) ){
					int j = id[x[u] - 2][y[u]]; a = j;
					
					if ( mp.count({u, j}) ){
						int k = mp[{u, j}];
						
						add(i + n, k);
					}
				}
				
				if ( id[x[u] - 2].count(y[v]) ){
					int j = id[x[u] - 2][y[v]]; b = j;
					
					if ( mp.count({j, v}) ){
						int k = mp[{j, v}];
						
						add(i + n, k + n);
					}
				}
				
				if ( mp.count({a, b}) ){
					add(i + n, mp[{a, b}] + n);
				}
			}
		} else{ // horizontal
			if ( x[u] > x[v] ) swap(u, v);
			
			{ // 0
				int a = -1, b = -1;
					
				if ( id[x[u]].count(y[u] - 2) ){
					int j = id[x[u]][y[u] - 2]; a = j;
					
					if ( mp.count({u, j}) ){
						int k = mp[{u, j}];
						
						add(i, k + n);
					}
				}
				
				if ( id[x[v]].count(y[v] - 2) ){
					int j = id[x[v]][y[v] - 2]; b = j;
					
					if ( mp.count({j, v}) ){
						int k = mp[{j, v}];
						
						add(i, k);
					}
				}
				
				if ( mp.count({a, b}) ){
					add(i, mp[{a, b}]);
				}
			}
			{ // 1
				int a = -1, b = -1;
					
				if ( id[x[u]].count(y[u] + 2) ){
					int j = id[x[u]][y[u] + 2]; a = j;
					
					if ( mp.count({u, j}) ){
						int k = mp[{u, j}];
						
						add(i + n, k + n);
					}
				}
				
				if ( id[x[v]].count(y[v] + 2) ){
					int j = id[x[v]][y[v] + 2]; b = j;
					
					if ( mp.count({j, v}) ){
						int k = mp[{j, v}];
						
						add(i + n, k);
					}
				}
				
				if ( mp.count({a, b}) ){
					add(i + n, mp[{a, b}]);
				}
			}
		}
	}
	
	vector <int> ord, us(n * 2);
	
	auto dfs = [&](auto dfs, int u) -> void{
		if ( us[u] ) return;
		
		us[u] = true;
		
		for ( auto &v: adj[u] ){
			dfs(dfs, v);
		}
		
		ord.pb(u);
	};
	
	for ( int i = 0; i < n * 2; i++ ){
		dfs(dfs, i);
	}
	
	reverse(all(ord));
	
	vector <int> c(n * 2, -1);
	
	int ct = 0;
	
	auto trav = [&](auto trav, int u) -> void{
		if ( c[u] != -1 ) return;
		
		c[u] = ct;
		
		for ( auto &v: rev[u] ){
			trav(trav, v);
		}
	};
	
	for ( auto &u: ord ){
		if ( c[u] != -1 ) continue;
		
		trav(trav, u);
		
		ct++;
	}
	
	vector <int> t(n - 1);
	
	for ( int i = 0; i + 1 < n; i++ ){
		if ( c[i] == c[i + n] ){
			return 0;
		}
		
		t[i] = (c[i] > c[i + n]);
	}
	
	vector <int> U, V, A, B;
	
	for ( int i = 0; i + 1 < n; i++ ){
		auto [u, v] = e[i];
		
		U.pb(u), V.pb(v);
		
		if ( x[u] == x[v] ){
			if ( y[u] > y[v] ) swap(u, v);
			
			A.pb(x[u] + (t[i] ? -1 : 1));
			B.pb(y[u] + 1);
		} else{
			if ( x[u] > x[v] ) swap(u, v);
			
			A.pb(x[u] + 1);
			B.pb(y[u] + (t[i] ? 1 : -1));
		}
	}
	
	build(U, V, A, B);
	
	return 1;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct
17 Incorrect 0 ms 344 KB Tree @(3, 3) appears more than once: for edges on positions 1 and 2
18 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct
17 Incorrect 0 ms 344 KB Tree @(3, 3) appears more than once: for edges on positions 1 and 2
18 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct
17 Incorrect 0 ms 348 KB Tree @(199999, 3) appears more than once: for edges on positions 0 and 1
18 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct
17 Incorrect 743 ms 80740 KB Tree @(100001, 3) appears more than once: for edges on positions 58685 and 136652
18 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 270 ms 38284 KB Output is correct
10 Correct 11 ms 4184 KB Output is correct
11 Correct 72 ms 20700 KB Output is correct
12 Correct 18 ms 5976 KB Output is correct
13 Correct 41 ms 9416 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 244 ms 38292 KB Output is correct
17 Incorrect 0 ms 344 KB Tree @(3, 3) appears more than once: for edges on positions 1 and 2
18 Halted 0 ms 0 KB -