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Submission #409990

# Submission time Handle Problem Language Result Execution time Memory
409990 2021-05-21T20:23:02 Z MohamedAhmed04 Swapping Cities (APIO20_swap) C++14
13 / 100
 537 ms 60988 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] , Min[node] = v[1] ;
	if(v.size() > 2)
		arr3[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 4940 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5196 KB Output is correct
5 Correct 4 ms 5452 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 4 ms 5452 KB Output is correct
9 Correct 168 ms 43248 KB Output is correct
10 Correct 236 ms 54444 KB Output is correct
11 Correct 214 ms 52568 KB Output is correct
12 Correct 235 ms 55864 KB Output is correct
13 Correct 203 ms 57296 KB Output is correct
14 Correct 204 ms 41888 KB Output is correct
15 Correct 532 ms 55696 KB Output is correct
16 Correct 530 ms 51132 KB Output is correct
17 Correct 509 ms 60988 KB Output is correct
18 Correct 516 ms 56024 KB Output is correct
19 Correct 117 ms 16836 KB Output is correct
20 Correct 515 ms 54468 KB Output is correct
21 Correct 532 ms 51264 KB Output is correct
22 Correct 537 ms 56456 KB Output is correct
23 Correct 501 ms 55224 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 236 ms 42916 KB Output is correct
4 Correct 241 ms 44808 KB Output is correct
5 Correct 243 ms 43544 KB Output is correct
6 Correct 242 ms 44688 KB Output is correct
7 Correct 243 ms 44216 KB Output is correct
8 Correct 235 ms 42552 KB Output is correct
9 Correct 238 ms 43956 KB Output is correct
10 Correct 239 ms 42416 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5196 KB Output is correct
5 Correct 4 ms 5452 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 4 ms 5452 KB Output is correct
9 Correct 3 ms 5068 KB Output is correct
10 Correct 4 ms 5324 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 5292 KB Output is correct
15 Incorrect 4 ms 5452 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 4940 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 3 ms 5068 KB Output is correct
5 Correct 4 ms 5196 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 4 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 4 ms 5452 KB Output is correct
10 Correct 168 ms 43248 KB Output is correct
11 Correct 236 ms 54444 KB Output is correct
12 Correct 214 ms 52568 KB Output is correct
13 Correct 235 ms 55864 KB Output is correct
14 Correct 203 ms 57296 KB Output is correct
15 Correct 4 ms 5324 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 5292 KB Output is correct
20 Incorrect 4 ms 5452 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 4940 KB Output is correct
2 Correct 3 ms 5068 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 4 ms 5196 KB Output is correct
5 Correct 4 ms 5452 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 4 ms 5452 KB Output is correct
9 Correct 168 ms 43248 KB Output is correct
10 Correct 236 ms 54444 KB Output is correct
11 Correct 214 ms 52568 KB Output is correct
12 Correct 235 ms 55864 KB Output is correct
13 Correct 203 ms 57296 KB Output is correct
14 Correct 204 ms 41888 KB Output is correct
15 Correct 532 ms 55696 KB Output is correct
16 Correct 530 ms 51132 KB Output is correct
17 Correct 509 ms 60988 KB Output is correct
18 Correct 516 ms 56024 KB Output is correct
19 Correct 236 ms 42916 KB Output is correct
20 Correct 241 ms 44808 KB Output is correct
21 Correct 243 ms 43544 KB Output is correct
22 Correct 242 ms 44688 KB Output is correct
23 Correct 243 ms 44216 KB Output is correct
24 Correct 235 ms 42552 KB Output is correct
25 Correct 238 ms 43956 KB Output is correct
26 Correct 239 ms 42416 KB Output is correct
27 Correct 4 ms 5324 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 5292 KB Output is correct
32 Incorrect 4 ms 5452 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 4940 KB Output is correct
3 Correct 3 ms 5068 KB Output is correct
4 Correct 3 ms 5068 KB Output is correct
5 Correct 4 ms 5196 KB Output is correct
6 Correct 4 ms 5452 KB Output is correct
7 Correct 4 ms 5452 KB Output is correct
8 Correct 5 ms 5452 KB Output is correct
9 Correct 4 ms 5452 KB Output is correct
10 Correct 168 ms 43248 KB Output is correct
11 Correct 236 ms 54444 KB Output is correct
12 Correct 214 ms 52568 KB Output is correct
13 Correct 235 ms 55864 KB Output is correct
14 Correct 203 ms 57296 KB Output is correct
15 Correct 204 ms 41888 KB Output is correct
16 Correct 532 ms 55696 KB Output is correct
17 Correct 530 ms 51132 KB Output is correct
18 Correct 509 ms 60988 KB Output is correct
19 Correct 516 ms 56024 KB Output is correct
20 Correct 236 ms 42916 KB Output is correct
21 Correct 241 ms 44808 KB Output is correct
22 Correct 243 ms 43544 KB Output is correct
23 Correct 242 ms 44688 KB Output is correct
24 Correct 243 ms 44216 KB Output is correct
25 Correct 235 ms 42552 KB Output is correct
26 Correct 238 ms 43956 KB Output is correct
27 Correct 239 ms 42416 KB Output is correct
28 Correct 4 ms 5324 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 5292 KB Output is correct
33 Incorrect 4 ms 5452 KB Output isn't correct
34 Halted 0 ms 0 KB -