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Submission #409987

# Submission time Handle Problem Language Result Execution time Memory
409987 2021-05-21T20:18:43 Z MohamedAhmed04 Swapping Cities (APIO20_swap) C++14
13 / 100
 524 ms 60984 KB 
#include <bits/stdc++.h>
#include "swap.h"
//#include "grader.cpp"

using namespace std ;

const int inf = 2e9 ;
const int MAX = 1e5 + 10 ;

int par[MAX] , sz[MAX] , cyc[MAX] ;
vector<int>comp[MAX] ;

int n , m ;

void Init()
{
	for(int i = 1 ; i <= n ; ++i)
		cyc[i] = inf , comp[i].push_back(i) , par[i] = i , sz[i] = 1 ;
}

int root(int node)
{
	if(par[node] == node)
		return node ;
	return (par[node] = root(par[node])) ;
}

void Union(int x , int y , int z)
{
	int a = root(x) ;
	int b = root(y) ;
	if(cyc[a] == inf && cyc[b] != inf)
	{
		for(auto &node : comp[a])
			cyc[node] = z ;
	}
	else if(cyc[a] != inf && cyc[b] == inf)
	{
		for(auto &node : comp[b])
			cyc[node] = z ;
	}
	if(sz[a] < sz[b])
		swap(a , b) ;
	while(comp[b].size())
		comp[a].push_back(comp[b].back()) , comp[b].pop_back() ;
	par[b] = a ;
	sz[a] += sz[b] ;	
}

vector< vector< pair<int , int> > >adj(MAX) ;

int arr2[MAX] , arr3[MAX] , Pval[MAX] , Min[MAX] ;
int P[MAX][20] , Max[MAX][20] , val[MAX][20] , dep[MAX] ;

void dfs(int node , int par , int x , int y)
{
	Pval[node] = x ;
	P[node][0] = par ;
	Max[node][0] = x ;
	val[node][0] = y ;
	for(int i = 1 ; i < 17 ; ++i)
	{
		P[node][i] = P[P[node][i-1]][i-1] ;
		Max[node][i] = max(Max[node][i-1] , Max[P[node][i-1]][i-1]) ;
		val[node][i] = min(val[node][i-1] , val[P[node][i-1]][i-1]) ;
	}
	vector<int>v ;
	for(auto &child : adj[node])
	{
		if(child.first == par)
			continue ;
		v.push_back(child.second) ;
	}
	sort(v.begin() , v.end()) ;
	arr2[node] = arr3[node] = Min[node] = inf ;
	if(v.size() > 1)
		arr2[node] = v[1] ;
	if(v.size() > 2)
		arr3[node] = v[2] , Min[node] = v[2] ;
	for(auto &child : adj[node])
	{
		if(child.first == par)
			continue ;
		dep[child.first] = dep[node] + 1 ;
		dfs(child.first , node , child.second , arr2[node]) ;
		Min[node] = min(Min[node] , max(child.second , Min[child.first])) ;
	}
}

int calc(int x , int y)
{
	if(dep[x] < dep[y])
		swap(x , y) ;
	int a = -inf , b = Min[x] ;
	b = min(cyc[x] , cyc[y]) ;
	for(int i = 16 ; i >= 0 ; --i)
	{
		if((dep[x] - (1 << i)) > dep[y])
		{
			a = max(a , Max[x][i]) ;
			b = min(b , val[x][i]) ;
			x = P[x][i] ;
		}
	}
	if(dep[x] != dep[y])
	{
		if(P[x][0] != y)
			b = min(b , val[x][0]) ;
		a = max(a , Max[x][0]) ;
		x = P[x][0] ;
	}
	if(x == y)
		return max(a , min(b , max(arr2[y] , min(Pval[y] , arr3[y])))) ;
	b = min(b , Min[y]) ;
	for(int i = 16 ; i >= 0 ; --i)
	{
		if(P[x][i] != P[y][i])
		{
			a = max(a , max(Max[x][i] , Max[y][i])) ;
			b = min(b , min(val[x][i] , val[y][i])) ;
			x = P[x][i] , y = P[y][i] ;
		}
	}
	a = max(a , max(Max[x][0] , Max[y][0])) ;
	b = min(b , min(arr3[P[x][0]] , Pval[P[x][0]])) ;
	return max(a , b) ;
}

void init(int N, int M,
          std::vector<int> U, std::vector<int> V, std::vector<int> W) {

	n = N , m = M ;
	vector< array<int , 3> >v ;
	for(int i = 0 ; i < m ; ++i)
		v.push_back({W[i] , U[i]+1 , V[i]+1}) ;
	Init() ;
	sort(v.begin() , v.end()) ;
	for(auto &a : v)
	{
		int x = a[1] , y = a[2] , z = a[0] ;
		if(root(x) == root(y))
		{
			int r = root(x) ;
			if(cyc[r] == inf)
			{
				for(auto &node : comp[r])
					cyc[node] = z ;
			}
		}
		else
			Union(x , y , z) , adj[x].emplace_back(y , z) , adj[y].emplace_back(x , z) ;
	}
	dfs(1 , 0 , inf , inf) ;
}

int getMinimumFuelCapacity(int x, int y) 
{
	x++ , y++ ;
	int ans = calc(x , y) ;
	if(ans == inf)
		ans = -1 ;
	return ans ;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 5 ms 5196 KB Output is correct
5 Correct 4 ms 5488 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 166 ms 43300 KB Output is correct
10 Correct 234 ms 54328 KB Output is correct
11 Correct 218 ms 52536 KB Output is correct
12 Correct 226 ms 55864 KB Output is correct
13 Correct 205 ms 57308 KB Output is correct
14 Correct 192 ms 41912 KB Output is correct
15 Correct 498 ms 55680 KB Output is correct
16 Correct 505 ms 51256 KB Output is correct
17 Correct 499 ms 60984 KB Output is correct
18 Correct 462 ms 56120 KB Output is correct
19 Correct 116 ms 16840 KB Output is correct
20 Correct 501 ms 54444 KB Output is correct
21 Correct 518 ms 51244 KB Output is correct
22 Correct 524 ms 56504 KB Output is correct
23 Correct 476 ms 55220 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 240 ms 42980 KB Output is correct
4 Correct 237 ms 47308 KB Output is correct
5 Correct 244 ms 46004 KB Output is correct
6 Correct 236 ms 47164 KB Output is correct
7 Correct 242 ms 46648 KB Output is correct
8 Correct 230 ms 45036 KB Output is correct
9 Correct 248 ms 46488 KB Output is correct
10 Correct 242 ms 44728 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 5 ms 5196 KB Output is correct
5 Correct 4 ms 5488 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 4 ms 5372 KB Output is correct
11 Correct 4 ms 5452 KB Output is correct
12 Correct 5 ms 5452 KB Output is correct
13 Correct 4 ms 5324 KB Output is correct
14 Correct 4 ms 5324 KB Output is correct
15 Incorrect 5 ms 5408 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 3 ms 5068 KB Output is correct
5 Correct 5 ms 5196 KB Output is correct
6 Correct 4 ms 5488 KB Output is correct
7 Correct 4 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 5 ms 5452 KB Output is correct
10 Correct 166 ms 43300 KB Output is correct
11 Correct 234 ms 54328 KB Output is correct
12 Correct 218 ms 52536 KB Output is correct
13 Correct 226 ms 55864 KB Output is correct
14 Correct 205 ms 57308 KB Output is correct
15 Correct 4 ms 5372 KB Output is correct
16 Correct 4 ms 5452 KB Output is correct
17 Correct 5 ms 5452 KB Output is correct
18 Correct 4 ms 5324 KB Output is correct
19 Correct 4 ms 5324 KB Output is correct
20 Incorrect 5 ms 5408 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 5 ms 5196 KB Output is correct
5 Correct 4 ms 5488 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 166 ms 43300 KB Output is correct
10 Correct 234 ms 54328 KB Output is correct
11 Correct 218 ms 52536 KB Output is correct
12 Correct 226 ms 55864 KB Output is correct
13 Correct 205 ms 57308 KB Output is correct
14 Correct 192 ms 41912 KB Output is correct
15 Correct 498 ms 55680 KB Output is correct
16 Correct 505 ms 51256 KB Output is correct
17 Correct 499 ms 60984 KB Output is correct
18 Correct 462 ms 56120 KB Output is correct
19 Correct 240 ms 42980 KB Output is correct
20 Correct 237 ms 47308 KB Output is correct
21 Correct 244 ms 46004 KB Output is correct
22 Correct 236 ms 47164 KB Output is correct
23 Correct 242 ms 46648 KB Output is correct
24 Correct 230 ms 45036 KB Output is correct
25 Correct 248 ms 46488 KB Output is correct
26 Correct 242 ms 44728 KB Output is correct
27 Correct 4 ms 5372 KB Output is correct
28 Correct 4 ms 5452 KB Output is correct
29 Correct 5 ms 5452 KB Output is correct
30 Correct 4 ms 5324 KB Output is correct
31 Correct 4 ms 5324 KB Output is correct
32 Incorrect 5 ms 5408 KB Output isn't correct
33 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5068 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 3 ms 5068 KB Output is correct
5 Correct 5 ms 5196 KB Output is correct
6 Correct 4 ms 5488 KB Output is correct
7 Correct 4 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 5 ms 5452 KB Output is correct
10 Correct 166 ms 43300 KB Output is correct
11 Correct 234 ms 54328 KB Output is correct
12 Correct 218 ms 52536 KB Output is correct
13 Correct 226 ms 55864 KB Output is correct
14 Correct 205 ms 57308 KB Output is correct
15 Correct 192 ms 41912 KB Output is correct
16 Correct 498 ms 55680 KB Output is correct
17 Correct 505 ms 51256 KB Output is correct
18 Correct 499 ms 60984 KB Output is correct
19 Correct 462 ms 56120 KB Output is correct
20 Correct 240 ms 42980 KB Output is correct
21 Correct 237 ms 47308 KB Output is correct
22 Correct 244 ms 46004 KB Output is correct
23 Correct 236 ms 47164 KB Output is correct
24 Correct 242 ms 46648 KB Output is correct
25 Correct 230 ms 45036 KB Output is correct
26 Correct 248 ms 46488 KB Output is correct
27 Correct 242 ms 44728 KB Output is correct
28 Correct 4 ms 5372 KB Output is correct
29 Correct 4 ms 5452 KB Output is correct
30 Correct 5 ms 5452 KB Output is correct
31 Correct 4 ms 5324 KB Output is correct
32 Correct 4 ms 5324 KB Output is correct
33 Incorrect 5 ms 5408 KB Output isn't correct
34 Halted 0 ms 0 KB -