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Submission #684001

# Submission time Handle Problem Language Result Execution time Memory
684001 2023-01-20T01:41:29 Z thiago_bastos Swapping Cities (APIO20_swap) C++17
13 / 100
 127 ms 12168 KB 
#include "swap.h"

#include <bits/stdc++.h>

using namespace std;

const int MAXN = 1e5 + 10;

int par[MAXN], depth[MAXN], t[MAXN], third[MAXN], deg[MAXN];

int findSet(int u) {
	return u == par[u] ? u : findSet(par[u]);
}

int h(int u) {
	return u == par[u] ? 0 : 1 + h(par[u]);
}

bool merge(int u, int v, int w) {
	u = findSet(u);
	v = findSet(v);
	if(u == v) return false;
	if(depth[u] > depth[v]) swap(u, v);
	par[u] = v;
	depth[v] += depth[u] == depth[v];	
	third[v] = min(third[v], third[u]);
	t[u] = w;
	return true;
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
	for(int i = 0; i < N; ++i) {
		par[i] = i;
		third[i] = INT_MAX;
	}
	vector<tuple<int, int, int>> edge(M);
	for(int i = 0; i < M; ++i) edge[i] = {W[i], U[i], V[i]};
	sort(edge.begin(), edge.end());
	for(auto [w, u, v] : edge) {
		++deg[u], ++deg[v];
		bool e = merge(u, v, w);
		if(!e || max(deg[u], deg[v]) > 2) {
			int x = findSet(u);
			third[x] = min(third[x], w);
		}
	}
}

int getMinimumFuelCapacity(int X, int Y) {
	int Z = findSet(X);
	int hx = h(X), hy = h(Y), ans = third[Z];
	if(ans == INT_MAX) return -1;
	while(hx != hy) {
		if(hx > hy) {
			ans = max(ans, t[X]);		
			X = par[X];
			--hx;
		} else {
			ans = max(ans, t[Y]);
			Y = par[Y];
			--hy;
		}
	}
	while(X != Y) {
		ans = max(ans, max(t[X], t[Y]));
		X = par[X];
		Y = par[Y];
	}
	return ans;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 35 ms 6208 KB Output is correct
10 Correct 44 ms 7572 KB Output is correct
11 Correct 40 ms 7428 KB Output is correct
12 Correct 42 ms 7876 KB Output is correct
13 Correct 41 ms 7488 KB Output is correct
14 Correct 39 ms 6592 KB Output is correct
15 Correct 102 ms 11440 KB Output is correct
16 Correct 103 ms 11276 KB Output is correct
17 Correct 108 ms 11728 KB Output is correct
18 Correct 97 ms 11320 KB Output is correct
19 Correct 73 ms 6396 KB Output is correct
20 Correct 109 ms 11588 KB Output is correct
21 Correct 116 ms 11900 KB Output is correct
22 Correct 127 ms 12168 KB Output is correct
23 Correct 109 ms 11824 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 89 ms 10828 KB Output is correct
4 Correct 93 ms 10780 KB Output is correct
5 Correct 101 ms 11212 KB Output is correct
6 Correct 90 ms 10784 KB Output is correct
7 Correct 103 ms 11176 KB Output is correct
8 Correct 100 ms 10836 KB Output is correct
9 Correct 91 ms 10860 KB Output is correct
10 Correct 99 ms 10960 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Incorrect 1 ms 340 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 35 ms 6208 KB Output is correct
11 Correct 44 ms 7572 KB Output is correct
12 Correct 40 ms 7428 KB Output is correct
13 Correct 42 ms 7876 KB Output is correct
14 Correct 41 ms 7488 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Incorrect 1 ms 340 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 35 ms 6208 KB Output is correct
10 Correct 44 ms 7572 KB Output is correct
11 Correct 40 ms 7428 KB Output is correct
12 Correct 42 ms 7876 KB Output is correct
13 Correct 41 ms 7488 KB Output is correct
14 Correct 39 ms 6592 KB Output is correct
15 Correct 102 ms 11440 KB Output is correct
16 Correct 103 ms 11276 KB Output is correct
17 Correct 108 ms 11728 KB Output is correct
18 Correct 97 ms 11320 KB Output is correct
19 Correct 89 ms 10828 KB Output is correct
20 Correct 93 ms 10780 KB Output is correct
21 Correct 101 ms 11212 KB Output is correct
22 Correct 90 ms 10784 KB Output is correct
23 Correct 103 ms 11176 KB Output is correct
24 Correct 100 ms 10836 KB Output is correct
25 Correct 91 ms 10860 KB Output is correct
26 Correct 99 ms 10960 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Incorrect 1 ms 340 KB Output isn't correct
33 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 35 ms 6208 KB Output is correct
11 Correct 44 ms 7572 KB Output is correct
12 Correct 40 ms 7428 KB Output is correct
13 Correct 42 ms 7876 KB Output is correct
14 Correct 41 ms 7488 KB Output is correct
15 Correct 39 ms 6592 KB Output is correct
16 Correct 102 ms 11440 KB Output is correct
17 Correct 103 ms 11276 KB Output is correct
18 Correct 108 ms 11728 KB Output is correct
19 Correct 97 ms 11320 KB Output is correct
20 Correct 89 ms 10828 KB Output is correct
21 Correct 93 ms 10780 KB Output is correct
22 Correct 101 ms 11212 KB Output is correct
23 Correct 90 ms 10784 KB Output is correct
24 Correct 103 ms 11176 KB Output is correct
25 Correct 100 ms 10836 KB Output is correct
26 Correct 91 ms 10860 KB Output is correct
27 Correct 99 ms 10960 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Incorrect 1 ms 340 KB Output isn't correct
34 Halted 0 ms 0 KB -