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Submission #289217

# Submission time Handle Problem Language Result Execution time Memory
289217 2020-09-02T13:12:07 Z dolphingarlic Swapping Cities (APIO20_swap) C++14
100 / 100
 482 ms 55592 KB 
#include "swap.h"

#include <bits/stdc++.h>
using namespace std;

pair<int, pair<int, int>> edges[200000];
int cmp[300000], deg[300000], cost[300000], nodes;
bool has_deg_3[300000], has_cycle[300000];
vector<int> dsu_tree[300000];
int tin[300000], tout[300000], timer = 0, anc[300000][20];

int find(int A) {
    while (A != cmp[A]) A = cmp[A], cmp[A] = cmp[cmp[A]];
    return A;
}

void onion(int A, int B) {
    has_cycle[nodes] = has_cycle[find(A)] || has_cycle[find(B)];
    if (find(A) == find(B)) has_cycle[nodes] = true;
    has_deg_3[nodes] = has_deg_3[find(A)] || has_deg_3[find(B)];
    if (deg[A] == 3 || deg[B] == 3) has_deg_3[nodes] = true;
    dsu_tree[nodes].push_back(find(A));
    if (find(A) != find(B)) dsu_tree[nodes].push_back(find(B));
    cmp[find(A)] = cmp[find(B)] = nodes;
    nodes++;
}

void dfs(int node = nodes - 1, int parent = -1) {
    tin[node] = timer++;
    for (int i = 1; i < 20; i++) anc[node][i] = -1;
    for (int i = 1; i < 20 && ~anc[node][i - 1]; i++) anc[node][i] = anc[anc[node][i - 1]][i - 1];
    for (int i : dsu_tree[node]) {
        anc[i][0] = node;
        dfs(i, node);
    }
    tout[node] = timer++;
}

bool is_ancestor(int A, int B) { return tin[A] <= tin[B] && tout[A] >= tout[B]; }

int lca(int A, int B) {
    if (is_ancestor(A, B)) return A;
    for (int i = 19; ~i; i--) if (~anc[A][i] && !is_ancestor(anc[A][i], B)) A = anc[A][i];
    return anc[A][0];
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    for (int i = 0; i < M; i++) edges[i] = {W[i], {U[i], V[i]}};
    sort(edges, edges + M);
    nodes = N;
    iota(cmp, cmp + N + M, 0);
    for (int i = 0; i < M; i++) {
        deg[edges[i].second.first]++;
        deg[edges[i].second.second]++;
        cost[nodes] = edges[i].first;
        onion(edges[i].second.first, edges[i].second.second);
    }
    for (int i = 0; i < nodes; i++) for (int j = 0; j < 20; j++) anc[i][j] = -1;
    dfs();
}

int getMinimumFuelCapacity(int X, int Y) {
    if (!has_cycle[nodes - 1] && !has_deg_3[nodes - 1]) return -1;
    int l = lca(X, Y);
    if (has_cycle[l] || has_deg_3[l]) return cost[l];
    for (int i = 19; ~i; i--) if (~anc[l][i] && !has_cycle[anc[l][i]] && !has_deg_3[anc[l][i]])
        l = anc[l][i];
    return cost[anc[l][0]];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 9 ms 7552 KB Output is correct
5 Correct 6 ms 7680 KB Output is correct
6 Correct 7 ms 7632 KB Output is correct
7 Correct 7 ms 7680 KB Output is correct
8 Correct 7 ms 7680 KB Output is correct
9 Correct 124 ms 27512 KB Output is correct
10 Correct 148 ms 31992 KB Output is correct
11 Correct 147 ms 31608 KB Output is correct
12 Correct 160 ms 33016 KB Output is correct
13 Correct 143 ms 35356 KB Output is correct
14 Correct 125 ms 27640 KB Output is correct
15 Correct 224 ms 34052 KB Output is correct
16 Correct 231 ms 33320 KB Output is correct
17 Correct 239 ms 35040 KB Output is correct
18 Correct 221 ms 37212 KB Output is correct
19 Correct 111 ms 14968 KB Output is correct
20 Correct 261 ms 35352 KB Output is correct
21 Correct 260 ms 34608 KB Output is correct
22 Correct 277 ms 36320 KB Output is correct
23 Correct 386 ms 38624 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 343 ms 39216 KB Output is correct
4 Correct 339 ms 40572 KB Output is correct
5 Correct 350 ms 39824 KB Output is correct
6 Correct 360 ms 40340 KB Output is correct
7 Correct 356 ms 40180 KB Output is correct
8 Correct 347 ms 39076 KB Output is correct
9 Correct 340 ms 39876 KB Output is correct
10 Correct 335 ms 38708 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 9 ms 7552 KB Output is correct
6 Correct 6 ms 7680 KB Output is correct
7 Correct 7 ms 7632 KB Output is correct
8 Correct 7 ms 7680 KB Output is correct
9 Correct 7 ms 7680 KB Output is correct
10 Correct 6 ms 7680 KB Output is correct
11 Correct 6 ms 7680 KB Output is correct
12 Correct 6 ms 7680 KB Output is correct
13 Correct 6 ms 7552 KB Output is correct
14 Correct 6 ms 7680 KB Output is correct
15 Correct 7 ms 7680 KB Output is correct
16 Correct 6 ms 7680 KB Output is correct
17 Correct 6 ms 7808 KB Output is correct
18 Correct 6 ms 7680 KB Output is correct
19 Correct 6 ms 7680 KB Output is correct
20 Correct 6 ms 7680 KB Output is correct
21 Correct 7 ms 7680 KB Output is correct
22 Correct 7 ms 7808 KB Output is correct
23 Correct 6 ms 7552 KB Output is correct
24 Correct 8 ms 7808 KB Output is correct
25 Correct 7 ms 7808 KB Output is correct
26 Correct 7 ms 7808 KB Output is correct
27 Correct 6 ms 7680 KB Output is correct
28 Correct 7 ms 7808 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 9 ms 7552 KB Output is correct
6 Correct 6 ms 7680 KB Output is correct
7 Correct 7 ms 7632 KB Output is correct
8 Correct 7 ms 7680 KB Output is correct
9 Correct 7 ms 7680 KB Output is correct
10 Correct 124 ms 27512 KB Output is correct
11 Correct 148 ms 31992 KB Output is correct
12 Correct 147 ms 31608 KB Output is correct
13 Correct 160 ms 33016 KB Output is correct
14 Correct 143 ms 35356 KB Output is correct
15 Correct 6 ms 7680 KB Output is correct
16 Correct 6 ms 7680 KB Output is correct
17 Correct 6 ms 7680 KB Output is correct
18 Correct 6 ms 7552 KB Output is correct
19 Correct 6 ms 7680 KB Output is correct
20 Correct 7 ms 7680 KB Output is correct
21 Correct 6 ms 7680 KB Output is correct
22 Correct 6 ms 7808 KB Output is correct
23 Correct 6 ms 7680 KB Output is correct
24 Correct 20 ms 10880 KB Output is correct
25 Correct 149 ms 33016 KB Output is correct
26 Correct 154 ms 33020 KB Output is correct
27 Correct 148 ms 33016 KB Output is correct
28 Correct 147 ms 32760 KB Output is correct
29 Correct 145 ms 32632 KB Output is correct
30 Correct 138 ms 30456 KB Output is correct
31 Correct 155 ms 33144 KB Output is correct
32 Correct 150 ms 33200 KB Output is correct
33 Correct 137 ms 36120 KB Output is correct
34 Correct 156 ms 33016 KB Output is correct
35 Correct 6 ms 7680 KB Output is correct
36 Correct 6 ms 7680 KB Output is correct
37 Correct 7 ms 7680 KB Output is correct
38 Correct 7 ms 7808 KB Output is correct
39 Correct 6 ms 7552 KB Output is correct
40 Correct 8 ms 7808 KB Output is correct
41 Correct 7 ms 7808 KB Output is correct
42 Correct 7 ms 7808 KB Output is correct
43 Correct 6 ms 7680 KB Output is correct
44 Correct 7 ms 7808 KB Output is correct
45 Correct 215 ms 43000 KB Output is correct
46 Correct 146 ms 33016 KB Output is correct
47 Correct 156 ms 33144 KB Output is correct
48 Correct 170 ms 36472 KB Output is correct
49 Correct 160 ms 40568 KB Output is correct
50 Correct 131 ms 33144 KB Output is correct
51 Correct 180 ms 38256 KB Output is correct
52 Correct 233 ms 45944 KB Output is correct
53 Correct 271 ms 48504 KB Output is correct
54 Correct 280 ms 54008 KB Output is correct
55 Correct 140 ms 35960 KB Output is correct
56 Correct 256 ms 49528 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 9 ms 7552 KB Output is correct
5 Correct 6 ms 7680 KB Output is correct
6 Correct 7 ms 7632 KB Output is correct
7 Correct 7 ms 7680 KB Output is correct
8 Correct 7 ms 7680 KB Output is correct
9 Correct 124 ms 27512 KB Output is correct
10 Correct 148 ms 31992 KB Output is correct
11 Correct 147 ms 31608 KB Output is correct
12 Correct 160 ms 33016 KB Output is correct
13 Correct 143 ms 35356 KB Output is correct
14 Correct 125 ms 27640 KB Output is correct
15 Correct 224 ms 34052 KB Output is correct
16 Correct 231 ms 33320 KB Output is correct
17 Correct 239 ms 35040 KB Output is correct
18 Correct 221 ms 37212 KB Output is correct
19 Correct 343 ms 39216 KB Output is correct
20 Correct 339 ms 40572 KB Output is correct
21 Correct 350 ms 39824 KB Output is correct
22 Correct 360 ms 40340 KB Output is correct
23 Correct 356 ms 40180 KB Output is correct
24 Correct 347 ms 39076 KB Output is correct
25 Correct 340 ms 39876 KB Output is correct
26 Correct 335 ms 38708 KB Output is correct
27 Correct 6 ms 7680 KB Output is correct
28 Correct 6 ms 7680 KB Output is correct
29 Correct 6 ms 7680 KB Output is correct
30 Correct 6 ms 7552 KB Output is correct
31 Correct 6 ms 7680 KB Output is correct
32 Correct 7 ms 7680 KB Output is correct
33 Correct 6 ms 7680 KB Output is correct
34 Correct 6 ms 7808 KB Output is correct
35 Correct 6 ms 7680 KB Output is correct
36 Correct 20 ms 10880 KB Output is correct
37 Correct 149 ms 33016 KB Output is correct
38 Correct 154 ms 33020 KB Output is correct
39 Correct 148 ms 33016 KB Output is correct
40 Correct 147 ms 32760 KB Output is correct
41 Correct 145 ms 32632 KB Output is correct
42 Correct 138 ms 30456 KB Output is correct
43 Correct 155 ms 33144 KB Output is correct
44 Correct 150 ms 33200 KB Output is correct
45 Correct 137 ms 36120 KB Output is correct
46 Correct 156 ms 33016 KB Output is correct
47 Correct 29 ms 11000 KB Output is correct
48 Correct 258 ms 35648 KB Output is correct
49 Correct 261 ms 35680 KB Output is correct
50 Correct 261 ms 35620 KB Output is correct
51 Correct 257 ms 35436 KB Output is correct
52 Correct 249 ms 33944 KB Output is correct
53 Correct 220 ms 28016 KB Output is correct
54 Correct 278 ms 36352 KB Output is correct
55 Correct 272 ms 35676 KB Output is correct
56 Correct 340 ms 38268 KB Output is correct
57 Correct 285 ms 36316 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 5 ms 7424 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 9 ms 7552 KB Output is correct
6 Correct 6 ms 7680 KB Output is correct
7 Correct 7 ms 7632 KB Output is correct
8 Correct 7 ms 7680 KB Output is correct
9 Correct 7 ms 7680 KB Output is correct
10 Correct 124 ms 27512 KB Output is correct
11 Correct 148 ms 31992 KB Output is correct
12 Correct 147 ms 31608 KB Output is correct
13 Correct 160 ms 33016 KB Output is correct
14 Correct 143 ms 35356 KB Output is correct
15 Correct 125 ms 27640 KB Output is correct
16 Correct 224 ms 34052 KB Output is correct
17 Correct 231 ms 33320 KB Output is correct
18 Correct 239 ms 35040 KB Output is correct
19 Correct 221 ms 37212 KB Output is correct
20 Correct 343 ms 39216 KB Output is correct
21 Correct 339 ms 40572 KB Output is correct
22 Correct 350 ms 39824 KB Output is correct
23 Correct 360 ms 40340 KB Output is correct
24 Correct 356 ms 40180 KB Output is correct
25 Correct 347 ms 39076 KB Output is correct
26 Correct 340 ms 39876 KB Output is correct
27 Correct 335 ms 38708 KB Output is correct
28 Correct 6 ms 7680 KB Output is correct
29 Correct 6 ms 7680 KB Output is correct
30 Correct 6 ms 7680 KB Output is correct
31 Correct 6 ms 7552 KB Output is correct
32 Correct 6 ms 7680 KB Output is correct
33 Correct 7 ms 7680 KB Output is correct
34 Correct 6 ms 7680 KB Output is correct
35 Correct 6 ms 7808 KB Output is correct
36 Correct 6 ms 7680 KB Output is correct
37 Correct 20 ms 10880 KB Output is correct
38 Correct 149 ms 33016 KB Output is correct
39 Correct 154 ms 33020 KB Output is correct
40 Correct 148 ms 33016 KB Output is correct
41 Correct 147 ms 32760 KB Output is correct
42 Correct 145 ms 32632 KB Output is correct
43 Correct 138 ms 30456 KB Output is correct
44 Correct 155 ms 33144 KB Output is correct
45 Correct 150 ms 33200 KB Output is correct
46 Correct 137 ms 36120 KB Output is correct
47 Correct 156 ms 33016 KB Output is correct
48 Correct 29 ms 11000 KB Output is correct
49 Correct 258 ms 35648 KB Output is correct
50 Correct 261 ms 35680 KB Output is correct
51 Correct 261 ms 35620 KB Output is correct
52 Correct 257 ms 35436 KB Output is correct
53 Correct 249 ms 33944 KB Output is correct
54 Correct 220 ms 28016 KB Output is correct
55 Correct 278 ms 36352 KB Output is correct
56 Correct 272 ms 35676 KB Output is correct
57 Correct 340 ms 38268 KB Output is correct
58 Correct 285 ms 36316 KB Output is correct
59 Correct 111 ms 14968 KB Output is correct
60 Correct 261 ms 35352 KB Output is correct
61 Correct 260 ms 34608 KB Output is correct
62 Correct 277 ms 36320 KB Output is correct
63 Correct 386 ms 38624 KB Output is correct
64 Correct 6 ms 7680 KB Output is correct
65 Correct 6 ms 7680 KB Output is correct
66 Correct 7 ms 7680 KB Output is correct
67 Correct 7 ms 7808 KB Output is correct
68 Correct 6 ms 7552 KB Output is correct
69 Correct 8 ms 7808 KB Output is correct
70 Correct 7 ms 7808 KB Output is correct
71 Correct 7 ms 7808 KB Output is correct
72 Correct 6 ms 7680 KB Output is correct
73 Correct 7 ms 7808 KB Output is correct
74 Correct 215 ms 43000 KB Output is correct
75 Correct 146 ms 33016 KB Output is correct
76 Correct 156 ms 33144 KB Output is correct
77 Correct 170 ms 36472 KB Output is correct
78 Correct 160 ms 40568 KB Output is correct
79 Correct 131 ms 33144 KB Output is correct
80 Correct 180 ms 38256 KB Output is correct
81 Correct 233 ms 45944 KB Output is correct
82 Correct 271 ms 48504 KB Output is correct
83 Correct 280 ms 54008 KB Output is correct
84 Correct 140 ms 35960 KB Output is correct
85 Correct 256 ms 49528 KB Output is correct
86 Correct 112 ms 20396 KB Output is correct
87 Correct 269 ms 35616 KB Output is correct
88 Correct 267 ms 35680 KB Output is correct
89 Correct 367 ms 37652 KB Output is correct
90 Correct 298 ms 44656 KB Output is correct
91 Correct 309 ms 41760 KB Output is correct
92 Correct 393 ms 39892 KB Output is correct
93 Correct 385 ms 47792 KB Output is correct
94 Correct 482 ms 50648 KB Output is correct
95 Correct 424 ms 55592 KB Output is correct
96 Correct 341 ms 38308 KB Output is correct
97 Correct 437 ms 44476 KB Output is correct