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Submission #938192

# Submission time Handle Problem Language Result Execution time Memory
938192 2024-03-05T02:08:39 Z IBory Swapping Cities (APIO20_swap) C++17
100 / 100
 289 ms 69136 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
 
const int MAX = 400004;
int N, M, R[MAX], D[MAX], H[MAX], S[MAX], P[19][MAX];
bool T[MAX], C[MAX], isLine;
vector<tuple<int, int, int>> E;
vector<int> G[MAX];

int Find(int n) {
	if (n == R[n]) return n;
	return R[n] = Find(R[n]);
}

void DFS(int cur, int prev) {
	H[cur] = H[prev] + 1;
	P[0][cur] = prev;
	for (int next : G[cur]) DFS(next, cur);
}

int LCA(int a, int b) {
	if (H[a] > H[b]) swap(a, b);
	for (int i = 18; i >= 0; --i) if ((H[b] - H[a]) & (1 << i)) b = P[i][b];
	if (a == b) return a;
	for (int i = 18; i >= 0; --i) if (P[i][a] != P[i][b]) a = P[i][a], b = P[i][b];
	return P[0][a];
}

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) {
		E.emplace_back(W[i], U[i], V[i]);
		D[U[i]]++;
		D[V[i]]++;
	}
	if (N == M + 1 && *max_element(D, D + MAX) <= 2) isLine = 1;
	sort(E.begin(), E.end());

	iota(R, R + MAX, 0);
	memset(D, 0, sizeof(D));
	int node = N;
	for (auto [w, a, b] : E) {
		int ra = Find(a), rb = Find(b);
		S[node] = w;
		T[node] = (T[ra] || T[rb] || ++D[a] >= 3 || ++D[b] >= 3);
		C[node] = (C[ra] || C[rb] || ra == rb);
		G[node].push_back(ra);
		if (ra != rb) G[node].push_back(rb);
		R[ra] = R[rb] = node;
		node++;
	}

	DFS(node - 1, node - 1);
	for (int n = 1; n < 19; ++n) for (int i = 0; i < node; ++i) P[n][i] = P[n - 1][P[n - 1][i]];
}
 
int getMinimumFuelCapacity(int x, int y) {
	if (isLine) return -1;
 
	int c = LCA(x, y);
	for (int i = 18; i >= 0; --i) {
		int p = P[i][c];
		if (!T[p] && !C[p]) c = p;
	}
	if (!T[c] && !C[c]) c = P[0][c];

	return S[c];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 46428 KB Output is correct
2 Correct 8 ms 46428 KB Output is correct
3 Correct 8 ms 46564 KB Output is correct
4 Correct 9 ms 46432 KB Output is correct
5 Correct 8 ms 46684 KB Output is correct
6 Correct 8 ms 46684 KB Output is correct
7 Correct 9 ms 46684 KB Output is correct
8 Correct 8 ms 46684 KB Output is correct
9 Correct 47 ms 53316 KB Output is correct
10 Correct 57 ms 54724 KB Output is correct
11 Correct 54 ms 54648 KB Output is correct
12 Correct 58 ms 55256 KB Output is correct
13 Correct 52 ms 56628 KB Output is correct
14 Correct 51 ms 53752 KB Output is correct
15 Correct 119 ms 58228 KB Output is correct
16 Correct 100 ms 58088 KB Output is correct
17 Correct 99 ms 58664 KB Output is correct
18 Correct 96 ms 60176 KB Output is correct
19 Correct 80 ms 52756 KB Output is correct
20 Correct 208 ms 59364 KB Output is correct
21 Correct 154 ms 59520 KB Output is correct
22 Correct 169 ms 60204 KB Output is correct
23 Correct 208 ms 61744 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 46428 KB Output is correct
2 Correct 8 ms 46428 KB Output is correct
3 Correct 203 ms 61768 KB Output is correct
4 Correct 213 ms 63024 KB Output is correct
5 Correct 189 ms 62808 KB Output is correct
6 Correct 183 ms 62688 KB Output is correct
7 Correct 213 ms 62900 KB Output is correct
8 Correct 175 ms 62344 KB Output is correct
9 Correct 182 ms 62712 KB Output is correct
10 Correct 192 ms 62356 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 46428 KB Output is correct
2 Correct 8 ms 46428 KB Output is correct
3 Correct 8 ms 46564 KB Output is correct
4 Correct 9 ms 46432 KB Output is correct
5 Correct 8 ms 46684 KB Output is correct
6 Correct 8 ms 46684 KB Output is correct
7 Correct 9 ms 46684 KB Output is correct
8 Correct 8 ms 46684 KB Output is correct
9 Correct 7 ms 46428 KB Output is correct
10 Correct 9 ms 46472 KB Output is correct
11 Correct 8 ms 46684 KB Output is correct
12 Correct 8 ms 46684 KB Output is correct
13 Correct 8 ms 46684 KB Output is correct
14 Correct 8 ms 46684 KB Output is correct
15 Correct 8 ms 46684 KB Output is correct
16 Correct 8 ms 46684 KB Output is correct
17 Correct 9 ms 46848 KB Output is correct
18 Correct 9 ms 46684 KB Output is correct
19 Correct 7 ms 46736 KB Output is correct
20 Correct 7 ms 46684 KB Output is correct
21 Correct 8 ms 46644 KB Output is correct
22 Correct 8 ms 46684 KB Output is correct
23 Correct 7 ms 46464 KB Output is correct
24 Correct 8 ms 46684 KB Output is correct
25 Correct 8 ms 46684 KB Output is correct
26 Correct 8 ms 46684 KB Output is correct
27 Correct 8 ms 46472 KB Output is correct
28 Correct 8 ms 46684 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 46428 KB Output is correct
2 Correct 14 ms 46428 KB Output is correct
3 Correct 8 ms 46428 KB Output is correct
4 Correct 8 ms 46564 KB Output is correct
5 Correct 9 ms 46432 KB Output is correct
6 Correct 8 ms 46684 KB Output is correct
7 Correct 8 ms 46684 KB Output is correct
8 Correct 9 ms 46684 KB Output is correct
9 Correct 8 ms 46684 KB Output is correct
10 Correct 47 ms 53316 KB Output is correct
11 Correct 57 ms 54724 KB Output is correct
12 Correct 54 ms 54648 KB Output is correct
13 Correct 58 ms 55256 KB Output is correct
14 Correct 52 ms 56628 KB Output is correct
15 Correct 9 ms 46472 KB Output is correct
16 Correct 8 ms 46684 KB Output is correct
17 Correct 8 ms 46684 KB Output is correct
18 Correct 8 ms 46684 KB Output is correct
19 Correct 8 ms 46684 KB Output is correct
20 Correct 8 ms 46684 KB Output is correct
21 Correct 8 ms 46684 KB Output is correct
22 Correct 9 ms 46848 KB Output is correct
23 Correct 9 ms 46684 KB Output is correct
24 Correct 7 ms 46736 KB Output is correct
25 Correct 7 ms 46684 KB Output is correct
26 Correct 8 ms 46644 KB Output is correct
27 Correct 8 ms 46684 KB Output is correct
28 Correct 7 ms 46464 KB Output is correct
29 Correct 8 ms 46684 KB Output is correct
30 Correct 8 ms 46684 KB Output is correct
31 Correct 8 ms 46684 KB Output is correct
32 Correct 8 ms 46472 KB Output is correct
33 Correct 8 ms 46684 KB Output is correct
34 Correct 14 ms 47644 KB Output is correct
35 Correct 58 ms 55040 KB Output is correct
36 Correct 56 ms 54984 KB Output is correct
37 Correct 57 ms 55032 KB Output is correct
38 Correct 57 ms 54984 KB Output is correct
39 Correct 59 ms 54660 KB Output is correct
40 Correct 53 ms 54084 KB Output is correct
41 Correct 57 ms 55116 KB Output is correct
42 Correct 58 ms 54980 KB Output is correct
43 Correct 52 ms 56776 KB Output is correct
44 Correct 63 ms 55240 KB Output is correct
45 Correct 84 ms 62828 KB Output is correct
46 Correct 62 ms 54984 KB Output is correct
47 Correct 58 ms 54980 KB Output is correct
48 Correct 67 ms 56772 KB Output is correct
49 Correct 85 ms 64408 KB Output is correct
50 Correct 68 ms 60460 KB Output is correct
51 Correct 75 ms 59732 KB Output is correct
52 Correct 96 ms 62988 KB Output is correct
53 Correct 110 ms 63664 KB Output is correct
54 Correct 112 ms 66052 KB Output is correct
55 Correct 55 ms 56832 KB Output is correct
56 Correct 106 ms 63936 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 46428 KB Output is correct
2 Correct 8 ms 46428 KB Output is correct
3 Correct 8 ms 46564 KB Output is correct
4 Correct 9 ms 46432 KB Output is correct
5 Correct 8 ms 46684 KB Output is correct
6 Correct 8 ms 46684 KB Output is correct
7 Correct 9 ms 46684 KB Output is correct
8 Correct 8 ms 46684 KB Output is correct
9 Correct 47 ms 53316 KB Output is correct
10 Correct 57 ms 54724 KB Output is correct
11 Correct 54 ms 54648 KB Output is correct
12 Correct 58 ms 55256 KB Output is correct
13 Correct 52 ms 56628 KB Output is correct
14 Correct 51 ms 53752 KB Output is correct
15 Correct 119 ms 58228 KB Output is correct
16 Correct 100 ms 58088 KB Output is correct
17 Correct 99 ms 58664 KB Output is correct
18 Correct 96 ms 60176 KB Output is correct
19 Correct 203 ms 61768 KB Output is correct
20 Correct 213 ms 63024 KB Output is correct
21 Correct 189 ms 62808 KB Output is correct
22 Correct 183 ms 62688 KB Output is correct
23 Correct 213 ms 62900 KB Output is correct
24 Correct 175 ms 62344 KB Output is correct
25 Correct 182 ms 62712 KB Output is correct
26 Correct 192 ms 62356 KB Output is correct
27 Correct 9 ms 46472 KB Output is correct
28 Correct 8 ms 46684 KB Output is correct
29 Correct 8 ms 46684 KB Output is correct
30 Correct 8 ms 46684 KB Output is correct
31 Correct 8 ms 46684 KB Output is correct
32 Correct 8 ms 46684 KB Output is correct
33 Correct 8 ms 46684 KB Output is correct
34 Correct 9 ms 46848 KB Output is correct
35 Correct 9 ms 46684 KB Output is correct
36 Correct 14 ms 47644 KB Output is correct
37 Correct 58 ms 55040 KB Output is correct
38 Correct 56 ms 54984 KB Output is correct
39 Correct 57 ms 55032 KB Output is correct
40 Correct 57 ms 54984 KB Output is correct
41 Correct 59 ms 54660 KB Output is correct
42 Correct 53 ms 54084 KB Output is correct
43 Correct 57 ms 55116 KB Output is correct
44 Correct 58 ms 54980 KB Output is correct
45 Correct 52 ms 56776 KB Output is correct
46 Correct 63 ms 55240 KB Output is correct
47 Correct 24 ms 48048 KB Output is correct
48 Correct 177 ms 59852 KB Output is correct
49 Correct 184 ms 59944 KB Output is correct
50 Correct 157 ms 59784 KB Output is correct
51 Correct 168 ms 59808 KB Output is correct
52 Correct 151 ms 59488 KB Output is correct
53 Correct 138 ms 58300 KB Output is correct
54 Correct 160 ms 60788 KB Output is correct
55 Correct 176 ms 59788 KB Output is correct
56 Correct 243 ms 44844 KB Output is correct
57 Correct 171 ms 44024 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 46428 KB Output is correct
2 Correct 14 ms 46428 KB Output is correct
3 Correct 8 ms 46428 KB Output is correct
4 Correct 8 ms 46564 KB Output is correct
5 Correct 9 ms 46432 KB Output is correct
6 Correct 8 ms 46684 KB Output is correct
7 Correct 8 ms 46684 KB Output is correct
8 Correct 9 ms 46684 KB Output is correct
9 Correct 8 ms 46684 KB Output is correct
10 Correct 47 ms 53316 KB Output is correct
11 Correct 57 ms 54724 KB Output is correct
12 Correct 54 ms 54648 KB Output is correct
13 Correct 58 ms 55256 KB Output is correct
14 Correct 52 ms 56628 KB Output is correct
15 Correct 51 ms 53752 KB Output is correct
16 Correct 119 ms 58228 KB Output is correct
17 Correct 100 ms 58088 KB Output is correct
18 Correct 99 ms 58664 KB Output is correct
19 Correct 96 ms 60176 KB Output is correct
20 Correct 203 ms 61768 KB Output is correct
21 Correct 213 ms 63024 KB Output is correct
22 Correct 189 ms 62808 KB Output is correct
23 Correct 183 ms 62688 KB Output is correct
24 Correct 213 ms 62900 KB Output is correct
25 Correct 175 ms 62344 KB Output is correct
26 Correct 182 ms 62712 KB Output is correct
27 Correct 192 ms 62356 KB Output is correct
28 Correct 9 ms 46472 KB Output is correct
29 Correct 8 ms 46684 KB Output is correct
30 Correct 8 ms 46684 KB Output is correct
31 Correct 8 ms 46684 KB Output is correct
32 Correct 8 ms 46684 KB Output is correct
33 Correct 8 ms 46684 KB Output is correct
34 Correct 8 ms 46684 KB Output is correct
35 Correct 9 ms 46848 KB Output is correct
36 Correct 9 ms 46684 KB Output is correct
37 Correct 14 ms 47644 KB Output is correct
38 Correct 58 ms 55040 KB Output is correct
39 Correct 56 ms 54984 KB Output is correct
40 Correct 57 ms 55032 KB Output is correct
41 Correct 57 ms 54984 KB Output is correct
42 Correct 59 ms 54660 KB Output is correct
43 Correct 53 ms 54084 KB Output is correct
44 Correct 57 ms 55116 KB Output is correct
45 Correct 58 ms 54980 KB Output is correct
46 Correct 52 ms 56776 KB Output is correct
47 Correct 63 ms 55240 KB Output is correct
48 Correct 24 ms 48048 KB Output is correct
49 Correct 177 ms 59852 KB Output is correct
50 Correct 184 ms 59944 KB Output is correct
51 Correct 157 ms 59784 KB Output is correct
52 Correct 168 ms 59808 KB Output is correct
53 Correct 151 ms 59488 KB Output is correct
54 Correct 138 ms 58300 KB Output is correct
55 Correct 160 ms 60788 KB Output is correct
56 Correct 176 ms 59788 KB Output is correct
57 Correct 243 ms 44844 KB Output is correct
58 Correct 171 ms 44024 KB Output is correct
59 Correct 80 ms 52756 KB Output is correct
60 Correct 208 ms 59364 KB Output is correct
61 Correct 154 ms 59520 KB Output is correct
62 Correct 169 ms 60204 KB Output is correct
63 Correct 208 ms 61744 KB Output is correct
64 Correct 7 ms 46736 KB Output is correct
65 Correct 7 ms 46684 KB Output is correct
66 Correct 8 ms 46644 KB Output is correct
67 Correct 8 ms 46684 KB Output is correct
68 Correct 7 ms 46464 KB Output is correct
69 Correct 8 ms 46684 KB Output is correct
70 Correct 8 ms 46684 KB Output is correct
71 Correct 8 ms 46684 KB Output is correct
72 Correct 8 ms 46472 KB Output is correct
73 Correct 8 ms 46684 KB Output is correct
74 Correct 84 ms 62828 KB Output is correct
75 Correct 62 ms 54984 KB Output is correct
76 Correct 58 ms 54980 KB Output is correct
77 Correct 67 ms 56772 KB Output is correct
78 Correct 85 ms 64408 KB Output is correct
79 Correct 68 ms 60460 KB Output is correct
80 Correct 75 ms 59732 KB Output is correct
81 Correct 96 ms 62988 KB Output is correct
82 Correct 110 ms 63664 KB Output is correct
83 Correct 112 ms 66052 KB Output is correct
84 Correct 55 ms 56832 KB Output is correct
85 Correct 106 ms 63936 KB Output is correct
86 Correct 73 ms 25932 KB Output is correct
87 Correct 162 ms 43048 KB Output is correct
88 Correct 161 ms 58216 KB Output is correct
89 Correct 216 ms 61412 KB Output is correct
90 Correct 159 ms 67788 KB Output is correct
91 Correct 185 ms 67292 KB Output is correct
92 Correct 202 ms 64804 KB Output is correct
93 Correct 195 ms 67164 KB Output is correct
94 Correct 250 ms 66508 KB Output is correct
95 Correct 234 ms 69136 KB Output is correct
96 Correct 256 ms 61628 KB Output is correct
97 Correct 289 ms 63108 KB Output is correct