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Submission #984415

# Submission time Handle Problem Language Result Execution time Memory
984415 2024-05-16T15:42:35 Z vjudge2 Swapping Cities (APIO20_swap) C++17
100 / 100
 389 ms 74688 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int N = 300005;
const int lg = 19;

int id, deg[N], ans[N], one[N], three[N], p[N], dep[N];
vector<int> adj[N];
vector<vector<int>> lift(N, vector<int> (lg));

int find(int u) {
    return p[u] == u ? u : p[u] = find(p[u]);
}

void merge(int u, int v) {
    u = find(u), v = find(v);
    if (u == v) return;
    p[v] = u;
    one[u] += one[v];
    three[u] += three[v];
}

void dfs(int u) {
    for (int v : adj[u]) {
        if (!ans[v]) ans[v] = ans[u];
        dep[v] = dep[u] + 1;
        dfs(v);
    }
}

int jump(int s, int d) {
    for (int i = lg - 1; i >= 0; i--) if (d & (1 << i)) s = lift[s][i];
    return s;
}

int lca(int u, int v) {
    if (dep[u] > dep[v]) swap(u, v);
    v = jump(v, dep[v] - dep[u]);
    if (u == v) return u;
    for (int i = lg - 1; i >= 0; i--) {
        int ut = lift[u][i], vt = lift[v][i];
        if (ut != vt) u = ut, v = vt;
    }
    return lift[u][0];
}

void init(int n, int m, vector<int> u, vector<int> v, vector<int> w) {
    vector<array<int, 3>> e;
    for (int i = 0; i < m; i++) e.push_back({w[i], u[i], v[i]});
    sort(e.begin(), e.end());
    for (int i = 0; i < N; i++) p[i] = i;
    id = n - 1;
    for (auto& [w, u, v] : e) {
        int fu = find(u), fv = find(v);
        if (deg[u] == 1) one[fu]--;
        if (deg[v] == 1) one[fv]--;
        deg[u]++, deg[v]++;
        if (deg[u] == 1) one[fu]++;
        else if (deg[u] == 3) three[fu]++;
        if (deg[v] == 1) one[fv]++;
        else if (deg[v] == 3) three[fv]++;
        u = fu, v = fv;
        id++;
        if (u == v) {
            merge(id, u);
            lift[u][0] = id;
            adj[id].push_back(u);
            // cout << id << " --> " << u << '\n';
        } else {
            merge(id, u);
            merge(id, v);
            lift[u][0] = lift[v][0] = id;
            adj[id].push_back(u);
            // cout << id << " --> " << u << '\n';
            adj[id].push_back(v);
            // cout << id << " --> " << v << '\n';
        }
        if (three[id]) ans[id] = w;
        else if (!one[id]) ans[id] = w;
        // cout << "value @ " << id << " = " << w << '\n';
    }
    for (int i = 0; i < N; i++) if (find(i) == i) lift[i][0] = i, dfs(i);
    for (int j = 1; j < lg; j++) for (int i = 0; i < N; i++) {
        lift[i][j] = lift[lift[i][j - 1]][j - 1];
    }
}

int getMinimumFuelCapacity(int X, int Y) {
    if (find(X) != find(Y)) return -1;
    // cout << lca(X, Y) << '\n';
    int l = lca(X, Y);
    if (ans[l] == 0) return -1;
    return ans[l];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 48392 KB Output is correct
2 Correct 71 ms 48140 KB Output is correct
3 Correct 67 ms 47952 KB Output is correct
4 Correct 62 ms 48104 KB Output is correct
5 Correct 64 ms 48216 KB Output is correct
6 Correct 67 ms 48224 KB Output is correct
7 Correct 74 ms 48220 KB Output is correct
8 Correct 64 ms 48220 KB Output is correct
9 Correct 119 ms 53428 KB Output is correct
10 Correct 136 ms 54732 KB Output is correct
11 Correct 138 ms 54784 KB Output is correct
12 Correct 145 ms 55196 KB Output is correct
13 Correct 168 ms 57368 KB Output is correct
14 Correct 138 ms 55432 KB Output is correct
15 Correct 247 ms 60876 KB Output is correct
16 Correct 235 ms 60364 KB Output is correct
17 Correct 254 ms 61096 KB Output is correct
18 Correct 345 ms 63504 KB Output is correct
19 Correct 132 ms 54472 KB Output is correct
20 Correct 242 ms 60872 KB Output is correct
21 Correct 252 ms 60928 KB Output is correct
22 Correct 267 ms 61432 KB Output is correct
23 Correct 345 ms 63984 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 48392 KB Output is correct
2 Correct 71 ms 48140 KB Output is correct
3 Correct 288 ms 60960 KB Output is correct
4 Correct 290 ms 65360 KB Output is correct
5 Correct 305 ms 65284 KB Output is correct
6 Correct 293 ms 65176 KB Output is correct
7 Correct 313 ms 65632 KB Output is correct
8 Correct 295 ms 64748 KB Output is correct
9 Correct 389 ms 65148 KB Output is correct
10 Correct 288 ms 64916 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 48392 KB Output is correct
2 Correct 71 ms 48140 KB Output is correct
3 Correct 67 ms 47952 KB Output is correct
4 Correct 62 ms 48104 KB Output is correct
5 Correct 64 ms 48216 KB Output is correct
6 Correct 67 ms 48224 KB Output is correct
7 Correct 74 ms 48220 KB Output is correct
8 Correct 64 ms 48220 KB Output is correct
9 Correct 63 ms 47960 KB Output is correct
10 Correct 64 ms 48232 KB Output is correct
11 Correct 67 ms 48216 KB Output is correct
12 Correct 65 ms 48216 KB Output is correct
13 Correct 65 ms 48168 KB Output is correct
14 Correct 61 ms 48220 KB Output is correct
15 Correct 66 ms 48220 KB Output is correct
16 Correct 63 ms 48220 KB Output is correct
17 Correct 65 ms 48160 KB Output is correct
18 Correct 65 ms 48216 KB Output is correct
19 Correct 63 ms 48220 KB Output is correct
20 Correct 70 ms 48216 KB Output is correct
21 Correct 66 ms 48220 KB Output is correct
22 Correct 65 ms 48220 KB Output is correct
23 Correct 67 ms 48216 KB Output is correct
24 Correct 67 ms 48220 KB Output is correct
25 Correct 67 ms 48216 KB Output is correct
26 Correct 64 ms 48216 KB Output is correct
27 Correct 68 ms 48220 KB Output is correct
28 Correct 76 ms 48216 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 47960 KB Output is correct
2 Correct 71 ms 48392 KB Output is correct
3 Correct 71 ms 48140 KB Output is correct
4 Correct 67 ms 47952 KB Output is correct
5 Correct 62 ms 48104 KB Output is correct
6 Correct 64 ms 48216 KB Output is correct
7 Correct 67 ms 48224 KB Output is correct
8 Correct 74 ms 48220 KB Output is correct
9 Correct 64 ms 48220 KB Output is correct
10 Correct 119 ms 53428 KB Output is correct
11 Correct 136 ms 54732 KB Output is correct
12 Correct 138 ms 54784 KB Output is correct
13 Correct 145 ms 55196 KB Output is correct
14 Correct 168 ms 57368 KB Output is correct
15 Correct 64 ms 48232 KB Output is correct
16 Correct 67 ms 48216 KB Output is correct
17 Correct 65 ms 48216 KB Output is correct
18 Correct 65 ms 48168 KB Output is correct
19 Correct 61 ms 48220 KB Output is correct
20 Correct 66 ms 48220 KB Output is correct
21 Correct 63 ms 48220 KB Output is correct
22 Correct 65 ms 48160 KB Output is correct
23 Correct 65 ms 48216 KB Output is correct
24 Correct 63 ms 48220 KB Output is correct
25 Correct 70 ms 48216 KB Output is correct
26 Correct 66 ms 48220 KB Output is correct
27 Correct 65 ms 48220 KB Output is correct
28 Correct 67 ms 48216 KB Output is correct
29 Correct 67 ms 48220 KB Output is correct
30 Correct 67 ms 48216 KB Output is correct
31 Correct 64 ms 48216 KB Output is correct
32 Correct 68 ms 48220 KB Output is correct
33 Correct 76 ms 48216 KB Output is correct
34 Correct 76 ms 49380 KB Output is correct
35 Correct 144 ms 56836 KB Output is correct
36 Correct 138 ms 56964 KB Output is correct
37 Correct 134 ms 56988 KB Output is correct
38 Correct 133 ms 56780 KB Output is correct
39 Correct 136 ms 56780 KB Output is correct
40 Correct 148 ms 56012 KB Output is correct
41 Correct 138 ms 57100 KB Output is correct
42 Correct 153 ms 57104 KB Output is correct
43 Correct 138 ms 59924 KB Output is correct
44 Correct 170 ms 57236 KB Output is correct
45 Correct 169 ms 67016 KB Output is correct
46 Correct 136 ms 56944 KB Output is correct
47 Correct 141 ms 57084 KB Output is correct
48 Correct 152 ms 59588 KB Output is correct
49 Correct 140 ms 68804 KB Output is correct
50 Correct 123 ms 63736 KB Output is correct
51 Correct 159 ms 63516 KB Output is correct
52 Correct 194 ms 65728 KB Output is correct
53 Correct 196 ms 67108 KB Output is correct
54 Correct 195 ms 70752 KB Output is correct
55 Correct 150 ms 59852 KB Output is correct
56 Correct 194 ms 69064 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 48392 KB Output is correct
2 Correct 71 ms 48140 KB Output is correct
3 Correct 67 ms 47952 KB Output is correct
4 Correct 62 ms 48104 KB Output is correct
5 Correct 64 ms 48216 KB Output is correct
6 Correct 67 ms 48224 KB Output is correct
7 Correct 74 ms 48220 KB Output is correct
8 Correct 64 ms 48220 KB Output is correct
9 Correct 119 ms 53428 KB Output is correct
10 Correct 136 ms 54732 KB Output is correct
11 Correct 138 ms 54784 KB Output is correct
12 Correct 145 ms 55196 KB Output is correct
13 Correct 168 ms 57368 KB Output is correct
14 Correct 138 ms 55432 KB Output is correct
15 Correct 247 ms 60876 KB Output is correct
16 Correct 235 ms 60364 KB Output is correct
17 Correct 254 ms 61096 KB Output is correct
18 Correct 345 ms 63504 KB Output is correct
19 Correct 288 ms 60960 KB Output is correct
20 Correct 290 ms 65360 KB Output is correct
21 Correct 305 ms 65284 KB Output is correct
22 Correct 293 ms 65176 KB Output is correct
23 Correct 313 ms 65632 KB Output is correct
24 Correct 295 ms 64748 KB Output is correct
25 Correct 389 ms 65148 KB Output is correct
26 Correct 288 ms 64916 KB Output is correct
27 Correct 64 ms 48232 KB Output is correct
28 Correct 67 ms 48216 KB Output is correct
29 Correct 65 ms 48216 KB Output is correct
30 Correct 65 ms 48168 KB Output is correct
31 Correct 61 ms 48220 KB Output is correct
32 Correct 66 ms 48220 KB Output is correct
33 Correct 63 ms 48220 KB Output is correct
34 Correct 65 ms 48160 KB Output is correct
35 Correct 65 ms 48216 KB Output is correct
36 Correct 76 ms 49380 KB Output is correct
37 Correct 144 ms 56836 KB Output is correct
38 Correct 138 ms 56964 KB Output is correct
39 Correct 134 ms 56988 KB Output is correct
40 Correct 133 ms 56780 KB Output is correct
41 Correct 136 ms 56780 KB Output is correct
42 Correct 148 ms 56012 KB Output is correct
43 Correct 138 ms 57100 KB Output is correct
44 Correct 153 ms 57104 KB Output is correct
45 Correct 138 ms 59924 KB Output is correct
46 Correct 170 ms 57236 KB Output is correct
47 Correct 79 ms 49624 KB Output is correct
48 Correct 248 ms 60872 KB Output is correct
49 Correct 242 ms 60876 KB Output is correct
50 Correct 240 ms 60872 KB Output is correct
51 Correct 241 ms 60960 KB Output is correct
52 Correct 230 ms 60224 KB Output is correct
53 Correct 209 ms 59308 KB Output is correct
54 Correct 265 ms 61592 KB Output is correct
55 Correct 259 ms 60812 KB Output is correct
56 Correct 343 ms 63180 KB Output is correct
57 Correct 246 ms 61508 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 47960 KB Output is correct
2 Correct 71 ms 48392 KB Output is correct
3 Correct 71 ms 48140 KB Output is correct
4 Correct 67 ms 47952 KB Output is correct
5 Correct 62 ms 48104 KB Output is correct
6 Correct 64 ms 48216 KB Output is correct
7 Correct 67 ms 48224 KB Output is correct
8 Correct 74 ms 48220 KB Output is correct
9 Correct 64 ms 48220 KB Output is correct
10 Correct 119 ms 53428 KB Output is correct
11 Correct 136 ms 54732 KB Output is correct
12 Correct 138 ms 54784 KB Output is correct
13 Correct 145 ms 55196 KB Output is correct
14 Correct 168 ms 57368 KB Output is correct
15 Correct 138 ms 55432 KB Output is correct
16 Correct 247 ms 60876 KB Output is correct
17 Correct 235 ms 60364 KB Output is correct
18 Correct 254 ms 61096 KB Output is correct
19 Correct 345 ms 63504 KB Output is correct
20 Correct 288 ms 60960 KB Output is correct
21 Correct 290 ms 65360 KB Output is correct
22 Correct 305 ms 65284 KB Output is correct
23 Correct 293 ms 65176 KB Output is correct
24 Correct 313 ms 65632 KB Output is correct
25 Correct 295 ms 64748 KB Output is correct
26 Correct 389 ms 65148 KB Output is correct
27 Correct 288 ms 64916 KB Output is correct
28 Correct 64 ms 48232 KB Output is correct
29 Correct 67 ms 48216 KB Output is correct
30 Correct 65 ms 48216 KB Output is correct
31 Correct 65 ms 48168 KB Output is correct
32 Correct 61 ms 48220 KB Output is correct
33 Correct 66 ms 48220 KB Output is correct
34 Correct 63 ms 48220 KB Output is correct
35 Correct 65 ms 48160 KB Output is correct
36 Correct 65 ms 48216 KB Output is correct
37 Correct 76 ms 49380 KB Output is correct
38 Correct 144 ms 56836 KB Output is correct
39 Correct 138 ms 56964 KB Output is correct
40 Correct 134 ms 56988 KB Output is correct
41 Correct 133 ms 56780 KB Output is correct
42 Correct 136 ms 56780 KB Output is correct
43 Correct 148 ms 56012 KB Output is correct
44 Correct 138 ms 57100 KB Output is correct
45 Correct 153 ms 57104 KB Output is correct
46 Correct 138 ms 59924 KB Output is correct
47 Correct 170 ms 57236 KB Output is correct
48 Correct 79 ms 49624 KB Output is correct
49 Correct 248 ms 60872 KB Output is correct
50 Correct 242 ms 60876 KB Output is correct
51 Correct 240 ms 60872 KB Output is correct
52 Correct 241 ms 60960 KB Output is correct
53 Correct 230 ms 60224 KB Output is correct
54 Correct 209 ms 59308 KB Output is correct
55 Correct 265 ms 61592 KB Output is correct
56 Correct 259 ms 60812 KB Output is correct
57 Correct 343 ms 63180 KB Output is correct
58 Correct 246 ms 61508 KB Output is correct
59 Correct 132 ms 54472 KB Output is correct
60 Correct 242 ms 60872 KB Output is correct
61 Correct 252 ms 60928 KB Output is correct
62 Correct 267 ms 61432 KB Output is correct
63 Correct 345 ms 63984 KB Output is correct
64 Correct 63 ms 48220 KB Output is correct
65 Correct 70 ms 48216 KB Output is correct
66 Correct 66 ms 48220 KB Output is correct
67 Correct 65 ms 48220 KB Output is correct
68 Correct 67 ms 48216 KB Output is correct
69 Correct 67 ms 48220 KB Output is correct
70 Correct 67 ms 48216 KB Output is correct
71 Correct 64 ms 48216 KB Output is correct
72 Correct 68 ms 48220 KB Output is correct
73 Correct 76 ms 48216 KB Output is correct
74 Correct 169 ms 67016 KB Output is correct
75 Correct 136 ms 56944 KB Output is correct
76 Correct 141 ms 57084 KB Output is correct
77 Correct 152 ms 59588 KB Output is correct
78 Correct 140 ms 68804 KB Output is correct
79 Correct 123 ms 63736 KB Output is correct
80 Correct 159 ms 63516 KB Output is correct
81 Correct 194 ms 65728 KB Output is correct
82 Correct 196 ms 67108 KB Output is correct
83 Correct 195 ms 70752 KB Output is correct
84 Correct 150 ms 59852 KB Output is correct
85 Correct 194 ms 69064 KB Output is correct
86 Correct 127 ms 54680 KB Output is correct
87 Correct 250 ms 60876 KB Output is correct
88 Correct 234 ms 60836 KB Output is correct
89 Correct 307 ms 63180 KB Output is correct
90 Correct 212 ms 73160 KB Output is correct
91 Correct 223 ms 71104 KB Output is correct
92 Correct 319 ms 66440 KB Output is correct
93 Correct 268 ms 69196 KB Output is correct
94 Correct 353 ms 71812 KB Output is correct
95 Correct 297 ms 74688 KB Output is correct
96 Correct 331 ms 63508 KB Output is correct
97 Correct 362 ms 67364 KB Output is correct