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Submission #618049

# Submission time Handle Problem Language Result Execution time Memory
618049 2022-08-01T20:15:10 Z GlassesNerd Swapping Cities (APIO20_swap) C++17
100 / 100
 597 ms 64496 KB 
#include<iostream>
#include<vector>
#include<algorithm>
#include<math.h>
#include<climits>
#include"swap.h"
#define ff first
#define ss second
using namespace std;
int n, m;
vector<pair<int, pair<int, int>>> edges;
vector<vector<int>> binlift;
vector<int> depths;
vector<int> swapp;

int getp(int x, vector<int>& dsu) {
	if (dsu[x] == x)return x;
	return dsu[x] = getp(dsu[x], dsu);
}
void merge(int a, int b, int x, vector<int>& dsu) {
	a = getp(a, dsu);
	b = getp(b, dsu);
	dsu[a] = x;
	dsu[b] = x;
}
void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
	n = N;
	m = M;
	for (int i = 0; i < m; i++) {
		edges.push_back({ W[i], {U[i], V[i]} });
	}
	sort(edges.begin(), edges.end());
	vector<int> dsu(n + m);
	for (int i = 0; i < n + m; i++)dsu[i] = i;
	swapp.assign(n + m, INT_MAX);
	vector<vector<int>>child(n + m);
	vector<int>deg(n, 0);
	binlift.assign(n + m, vector<int>(20, -1));
	for (int i = 0; i < m; i++) {
		int a = edges[i].ss.ff;
		int b = edges[i].ss.ss;
		int oa = a;
		int ob = b;
		a = getp(a, dsu);
		b = getp(b, dsu);
		if (a != b) {
			merge(a, b, i + n, dsu);
			binlift[a][0] = i + n;
			binlift[b][0] = i + n;
			if (swapp[a] != INT_MAX || swapp[b] != INT_MAX || (deg[oa] >= 2 || deg[ob] >= 2)) {
				swapp[i + n] = edges[i].ff;
			}
			child[i + n].push_back(a);
			child[i + n].push_back(b);
		}
		else {
			swapp[a] = min(swapp[a], edges[i].ff);
		}
		deg[oa]++;
		deg[ob]++;
	}
	depths.assign(n + m, 0);
	for (int i = n + m - 1; i >= 0; i--) {
		for (int j = 0; j < child[i].size(); j++) {
			depths[child[i][j]] = depths[i] + 1;
			swapp[child[i][j]] = min(swapp[child[i][j]], swapp[i]);
		}
	}
	for (int i = n + m - 1; i >= 0; i--) {
		int j = 0;
		while (binlift[i][j] != -1) {
			binlift[i][j + 1] = binlift[binlift[i][j]][j];
			j++;
		}
	}
}
int getMinimumFuelCapacity(int X, int Y) {
	if (depths[X] < depths[Y]) {
		int tmp = X;
		X = Y;
		Y = tmp;
	}
	while (depths[X] != depths[Y]) {
		X = binlift[X][floor(log2(depths[X] - depths[Y]))];
	}
	while (X != Y) {
		int i = 19;
		while (binlift[X][i] == binlift[Y][i] && i > 0)i--;
		X = binlift[X][i];
		Y = binlift[Y][i];
	}
	return swapp[X] == INT_MAX ? -1 : swapp[X];
}
/*signed main() {
	int N, M;
	cin >> N >> M;
	vector<int> U(M), V(M), W(M);
	for (int i = 0; i < M; i++)cin >> U[i] >> V[i] >> W[i];
	init(N, M, U, V, W);
	int Q;
	cin >> Q;
	while (Q--) {
		int a, b;
		cin >> a >> b;
		cout << getMinimumFuelCapacity(a, b) << "\n";
	}
}*/

Compilation message

swap.cpp: In function 'void init(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
swap.cpp:64:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |   for (int j = 0; j < child[i].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 99 ms 31448 KB Output is correct
10 Correct 114 ms 38304 KB Output is correct
11 Correct 112 ms 37740 KB Output is correct
12 Correct 117 ms 39964 KB Output is correct
13 Correct 159 ms 40648 KB Output is correct
14 Correct 103 ms 31652 KB Output is correct
15 Correct 279 ms 42536 KB Output is correct
16 Correct 290 ms 41408 KB Output is correct
17 Correct 252 ms 43840 KB Output is correct
18 Correct 497 ms 44444 KB Output is correct
19 Correct 111 ms 10892 KB Output is correct
20 Correct 256 ms 42548 KB Output is correct
21 Correct 246 ms 41248 KB Output is correct
22 Correct 267 ms 43920 KB Output is correct
23 Correct 597 ms 44632 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 420 ms 41188 KB Output is correct
4 Correct 492 ms 43364 KB Output is correct
5 Correct 465 ms 41844 KB Output is correct
6 Correct 463 ms 42844 KB Output is correct
7 Correct 461 ms 42508 KB Output is correct
8 Correct 423 ms 40788 KB Output is correct
9 Correct 441 ms 42244 KB Output is correct
10 Correct 428 ms 40508 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 564 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 564 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 2 ms 596 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 732 KB Output is correct
25 Correct 1 ms 852 KB Output is correct
26 Correct 2 ms 852 KB Output is correct
27 Correct 1 ms 568 KB Output is correct
28 Correct 2 ms 820 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 99 ms 31448 KB Output is correct
11 Correct 114 ms 38304 KB Output is correct
12 Correct 112 ms 37740 KB Output is correct
13 Correct 117 ms 39964 KB Output is correct
14 Correct 159 ms 40648 KB Output is correct
15 Correct 1 ms 564 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 1 ms 564 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 732 KB Output is correct
30 Correct 1 ms 852 KB Output is correct
31 Correct 2 ms 852 KB Output is correct
32 Correct 1 ms 568 KB Output is correct
33 Correct 2 ms 820 KB Output is correct
34 Correct 13 ms 5652 KB Output is correct
35 Correct 123 ms 39596 KB Output is correct
36 Correct 117 ms 39708 KB Output is correct
37 Correct 113 ms 39668 KB Output is correct
38 Correct 125 ms 39100 KB Output is correct
39 Correct 121 ms 38932 KB Output is correct
40 Correct 123 ms 35668 KB Output is correct
41 Correct 110 ms 39968 KB Output is correct
42 Correct 118 ms 39720 KB Output is correct
43 Correct 150 ms 39616 KB Output is correct
44 Correct 137 ms 40004 KB Output is correct
45 Correct 169 ms 45680 KB Output is correct
46 Correct 112 ms 39804 KB Output is correct
47 Correct 135 ms 39636 KB Output is correct
48 Correct 205 ms 41468 KB Output is correct
49 Correct 76 ms 32884 KB Output is correct
50 Correct 63 ms 26576 KB Output is correct
51 Correct 134 ms 38976 KB Output is correct
52 Correct 152 ms 52736 KB Output is correct
53 Correct 215 ms 56360 KB Output is correct
54 Correct 168 ms 60604 KB Output is correct
55 Correct 162 ms 39640 KB Output is correct
56 Correct 223 ms 54892 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 99 ms 31448 KB Output is correct
10 Correct 114 ms 38304 KB Output is correct
11 Correct 112 ms 37740 KB Output is correct
12 Correct 117 ms 39964 KB Output is correct
13 Correct 159 ms 40648 KB Output is correct
14 Correct 103 ms 31652 KB Output is correct
15 Correct 279 ms 42536 KB Output is correct
16 Correct 290 ms 41408 KB Output is correct
17 Correct 252 ms 43840 KB Output is correct
18 Correct 497 ms 44444 KB Output is correct
19 Correct 420 ms 41188 KB Output is correct
20 Correct 492 ms 43364 KB Output is correct
21 Correct 465 ms 41844 KB Output is correct
22 Correct 463 ms 42844 KB Output is correct
23 Correct 461 ms 42508 KB Output is correct
24 Correct 423 ms 40788 KB Output is correct
25 Correct 441 ms 42244 KB Output is correct
26 Correct 428 ms 40508 KB Output is correct
27 Correct 1 ms 564 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 1 ms 596 KB Output is correct
34 Correct 1 ms 596 KB Output is correct
35 Correct 1 ms 564 KB Output is correct
36 Correct 13 ms 5652 KB Output is correct
37 Correct 123 ms 39596 KB Output is correct
38 Correct 117 ms 39708 KB Output is correct
39 Correct 113 ms 39668 KB Output is correct
40 Correct 125 ms 39100 KB Output is correct
41 Correct 121 ms 38932 KB Output is correct
42 Correct 123 ms 35668 KB Output is correct
43 Correct 110 ms 39968 KB Output is correct
44 Correct 118 ms 39720 KB Output is correct
45 Correct 150 ms 39616 KB Output is correct
46 Correct 137 ms 40004 KB Output is correct
47 Correct 21 ms 5524 KB Output is correct
48 Correct 278 ms 43536 KB Output is correct
49 Correct 269 ms 43644 KB Output is correct
50 Correct 266 ms 43448 KB Output is correct
51 Correct 254 ms 43276 KB Output is correct
52 Correct 251 ms 40924 KB Output is correct
53 Correct 238 ms 30368 KB Output is correct
54 Correct 272 ms 43860 KB Output is correct
55 Correct 265 ms 43668 KB Output is correct
56 Correct 465 ms 43576 KB Output is correct
57 Correct 308 ms 43804 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 99 ms 31448 KB Output is correct
11 Correct 114 ms 38304 KB Output is correct
12 Correct 112 ms 37740 KB Output is correct
13 Correct 117 ms 39964 KB Output is correct
14 Correct 159 ms 40648 KB Output is correct
15 Correct 103 ms 31652 KB Output is correct
16 Correct 279 ms 42536 KB Output is correct
17 Correct 290 ms 41408 KB Output is correct
18 Correct 252 ms 43840 KB Output is correct
19 Correct 497 ms 44444 KB Output is correct
20 Correct 420 ms 41188 KB Output is correct
21 Correct 492 ms 43364 KB Output is correct
22 Correct 465 ms 41844 KB Output is correct
23 Correct 463 ms 42844 KB Output is correct
24 Correct 461 ms 42508 KB Output is correct
25 Correct 423 ms 40788 KB Output is correct
26 Correct 441 ms 42244 KB Output is correct
27 Correct 428 ms 40508 KB Output is correct
28 Correct 1 ms 564 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 1 ms 596 KB Output is correct
34 Correct 1 ms 596 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 1 ms 564 KB Output is correct
37 Correct 13 ms 5652 KB Output is correct
38 Correct 123 ms 39596 KB Output is correct
39 Correct 117 ms 39708 KB Output is correct
40 Correct 113 ms 39668 KB Output is correct
41 Correct 125 ms 39100 KB Output is correct
42 Correct 121 ms 38932 KB Output is correct
43 Correct 123 ms 35668 KB Output is correct
44 Correct 110 ms 39968 KB Output is correct
45 Correct 118 ms 39720 KB Output is correct
46 Correct 150 ms 39616 KB Output is correct
47 Correct 137 ms 40004 KB Output is correct
48 Correct 21 ms 5524 KB Output is correct
49 Correct 278 ms 43536 KB Output is correct
50 Correct 269 ms 43644 KB Output is correct
51 Correct 266 ms 43448 KB Output is correct
52 Correct 254 ms 43276 KB Output is correct
53 Correct 251 ms 40924 KB Output is correct
54 Correct 238 ms 30368 KB Output is correct
55 Correct 272 ms 43860 KB Output is correct
56 Correct 265 ms 43668 KB Output is correct
57 Correct 465 ms 43576 KB Output is correct
58 Correct 308 ms 43804 KB Output is correct
59 Correct 111 ms 10892 KB Output is correct
60 Correct 256 ms 42548 KB Output is correct
61 Correct 246 ms 41248 KB Output is correct
62 Correct 267 ms 43920 KB Output is correct
63 Correct 597 ms 44632 KB Output is correct
64 Correct 1 ms 596 KB Output is correct
65 Correct 1 ms 596 KB Output is correct
66 Correct 1 ms 596 KB Output is correct
67 Correct 2 ms 596 KB Output is correct
68 Correct 1 ms 596 KB Output is correct
69 Correct 1 ms 732 KB Output is correct
70 Correct 1 ms 852 KB Output is correct
71 Correct 2 ms 852 KB Output is correct
72 Correct 1 ms 568 KB Output is correct
73 Correct 2 ms 820 KB Output is correct
74 Correct 169 ms 45680 KB Output is correct
75 Correct 112 ms 39804 KB Output is correct
76 Correct 135 ms 39636 KB Output is correct
77 Correct 205 ms 41468 KB Output is correct
78 Correct 76 ms 32884 KB Output is correct
79 Correct 63 ms 26576 KB Output is correct
80 Correct 134 ms 38976 KB Output is correct
81 Correct 152 ms 52736 KB Output is correct
82 Correct 215 ms 56360 KB Output is correct
83 Correct 168 ms 60604 KB Output is correct
84 Correct 162 ms 39640 KB Output is correct
85 Correct 223 ms 54892 KB Output is correct
86 Correct 93 ms 17496 KB Output is correct
87 Correct 250 ms 43492 KB Output is correct
88 Correct 260 ms 43820 KB Output is correct
89 Correct 441 ms 43260 KB Output is correct
90 Correct 179 ms 38312 KB Output is correct
91 Correct 206 ms 36796 KB Output is correct
92 Correct 392 ms 41664 KB Output is correct
93 Correct 335 ms 56144 KB Output is correct
94 Correct 492 ms 59956 KB Output is correct
95 Correct 309 ms 64496 KB Output is correct
96 Correct 464 ms 43588 KB Output is correct
97 Correct 468 ms 51304 KB Output is correct