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Submission #1043820

# Submission time Handle Problem Language Result Execution time Memory
1043820 2024-08-04T19:47:37 Z VMaksimoski008 Swapping Cities (APIO20_swap) C++17
100 / 100
 172 ms 62912 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int maxn = 3e5 + 5;
const int LOG = 20;

int par[maxn+5], cycle[maxn+5], deg[maxn+5], dp[maxn+5], P[maxn+5], ok[maxn+5], good[maxn+5], d[maxn+5], n, m, N, up[maxn+5][LOG];
vector<int> graph[maxn+5];
vector<array<int, 3> > edges;

int find(int u) {
    if(u == par[u]) return u;
    return par[u] = find(par[u]);
}

void uni(int a, int b) {
    a = find(a); b = find(b); n++;
    if(a == b) cycle[n] = 1;
    par[n] = par[a] = par[b] = n;
    if(good[a] || good[b]) good[n] = 1;
    if(cycle[a] || cycle[b]) cycle[n] = 1;
    graph[n].push_back(a);
    if(a != b) graph[n].push_back(b);
}

void dfs(int u, int last) {
    for(int i=1; i<LOG; i++) up[u][i] = up[up[u][i-1]][i-1];
    if(ok[u]) last = u;
    dp[u] = last;

    for(int &v : graph[u]) {
        d[v] = d[u] + 1;
        up[v][0] = u;
        P[v] = u;
        dfs(v, last);
    }
}

int get_lca(int a, int b) {
    if(d[a] < d[b]) swap(a, b);
    int D = d[a] - d[b];
    for(int j=LOG-1; j>=0; j--)
        if(D & (1 << j)) a = up[a][j];

    if(a == b) return a;

    for(int j=LOG-1; j>=0; j--)
        if(up[a][j] != up[b][j]) a = up[a][j], b = up[b][j];
    return up[a][0];
}

void init(int _N, int _M, vector<int> U, vector<int> V, vector<int> W) {
    n = _N;
    N = _N;
    m = _M;

    for(int i=1; i<=_N+_M; i++) {
        par[i] = i;
        cycle[i] = deg[i] = good[i] = 0;
    }

    for(int i=0; i<m; i++) edges.push_back({ W[i], U[i] + 1, V[i] + 1});
    sort(edges.begin(), edges.end());
    for(auto &[w, u, v] : edges) {
        deg[u]++; deg[v]++;
        if(deg[u] >= 3) good[n+1] = 1;
        if(deg[v] >= 3) good[n+1] = 1;
        uni(u, v);
    }

    for(int i=1; i<=n; i++) ok[i] = (good[i] || cycle[i]);
    dfs(n, -1);
}

int getMinimumFuelCapacity(int X, int Y) {
    int lca = get_lca(X+1, Y+1);
    if(dp[lca] == -1) return -1;
    return edges[dp[lca]-N-1][0];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19032 KB Output is correct
2 Correct 2 ms 19084 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 3 ms 19036 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19052 KB Output is correct
9 Correct 42 ms 35244 KB Output is correct
10 Correct 56 ms 39368 KB Output is correct
11 Correct 58 ms 39112 KB Output is correct
12 Correct 57 ms 40400 KB Output is correct
13 Correct 60 ms 44232 KB Output is correct
14 Correct 53 ms 35536 KB Output is correct
15 Correct 105 ms 41452 KB Output is correct
16 Correct 99 ms 40828 KB Output is correct
17 Correct 120 ms 42032 KB Output is correct
18 Correct 130 ms 46100 KB Output is correct
19 Correct 45 ms 24592 KB Output is correct
20 Correct 113 ms 42480 KB Output is correct
21 Correct 101 ms 42004 KB Output is correct
22 Correct 115 ms 43500 KB Output is correct
23 Correct 124 ms 47380 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19032 KB Output is correct
2 Correct 2 ms 19084 KB Output is correct
3 Correct 106 ms 49512 KB Output is correct
4 Correct 119 ms 50984 KB Output is correct
5 Correct 110 ms 50268 KB Output is correct
6 Correct 111 ms 50676 KB Output is correct
7 Correct 111 ms 50448 KB Output is correct
8 Correct 107 ms 49180 KB Output is correct
9 Correct 113 ms 50252 KB Output is correct
10 Correct 109 ms 49128 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19032 KB Output is correct
2 Correct 2 ms 19084 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 3 ms 19036 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19052 KB Output is correct
9 Correct 3 ms 19036 KB Output is correct
10 Correct 2 ms 19036 KB Output is correct
11 Correct 2 ms 19036 KB Output is correct
12 Correct 2 ms 19036 KB Output is correct
13 Correct 2 ms 19096 KB Output is correct
14 Correct 2 ms 19036 KB Output is correct
15 Correct 3 ms 19036 KB Output is correct
16 Correct 2 ms 19036 KB Output is correct
17 Correct 3 ms 19036 KB Output is correct
18 Correct 2 ms 19036 KB Output is correct
19 Correct 2 ms 19036 KB Output is correct
20 Correct 2 ms 19036 KB Output is correct
21 Correct 3 ms 19036 KB Output is correct
22 Correct 3 ms 19292 KB Output is correct
23 Correct 3 ms 19032 KB Output is correct
24 Correct 3 ms 19036 KB Output is correct
25 Correct 4 ms 19036 KB Output is correct
26 Correct 4 ms 19288 KB Output is correct
27 Correct 3 ms 19036 KB Output is correct
28 Correct 3 ms 19308 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19036 KB Output is correct
2 Correct 3 ms 19032 KB Output is correct
3 Correct 2 ms 19084 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19036 KB Output is correct
9 Correct 3 ms 19052 KB Output is correct
10 Correct 42 ms 35244 KB Output is correct
11 Correct 56 ms 39368 KB Output is correct
12 Correct 58 ms 39112 KB Output is correct
13 Correct 57 ms 40400 KB Output is correct
14 Correct 60 ms 44232 KB Output is correct
15 Correct 2 ms 19036 KB Output is correct
16 Correct 2 ms 19036 KB Output is correct
17 Correct 2 ms 19036 KB Output is correct
18 Correct 2 ms 19096 KB Output is correct
19 Correct 2 ms 19036 KB Output is correct
20 Correct 3 ms 19036 KB Output is correct
21 Correct 2 ms 19036 KB Output is correct
22 Correct 3 ms 19036 KB Output is correct
23 Correct 2 ms 19036 KB Output is correct
24 Correct 2 ms 19036 KB Output is correct
25 Correct 2 ms 19036 KB Output is correct
26 Correct 3 ms 19036 KB Output is correct
27 Correct 3 ms 19292 KB Output is correct
28 Correct 3 ms 19032 KB Output is correct
29 Correct 3 ms 19036 KB Output is correct
30 Correct 4 ms 19036 KB Output is correct
31 Correct 4 ms 19288 KB Output is correct
32 Correct 3 ms 19036 KB Output is correct
33 Correct 3 ms 19308 KB Output is correct
34 Correct 8 ms 20764 KB Output is correct
35 Correct 57 ms 40428 KB Output is correct
36 Correct 63 ms 40400 KB Output is correct
37 Correct 62 ms 40392 KB Output is correct
38 Correct 55 ms 39884 KB Output is correct
39 Correct 60 ms 39996 KB Output is correct
40 Correct 53 ms 38060 KB Output is correct
41 Correct 58 ms 40272 KB Output is correct
42 Correct 60 ms 40392 KB Output is correct
43 Correct 63 ms 45508 KB Output is correct
44 Correct 60 ms 40400 KB Output is correct
45 Correct 86 ms 53956 KB Output is correct
46 Correct 60 ms 40272 KB Output is correct
47 Correct 58 ms 40392 KB Output is correct
48 Correct 73 ms 44744 KB Output is correct
49 Correct 67 ms 53956 KB Output is correct
50 Correct 54 ms 44744 KB Output is correct
51 Correct 71 ms 48324 KB Output is correct
52 Correct 93 ms 55016 KB Output is correct
53 Correct 127 ms 57236 KB Output is correct
54 Correct 112 ms 61380 KB Output is correct
55 Correct 59 ms 45116 KB Output is correct
56 Correct 113 ms 59076 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19032 KB Output is correct
2 Correct 2 ms 19084 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 3 ms 19036 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19052 KB Output is correct
9 Correct 42 ms 35244 KB Output is correct
10 Correct 56 ms 39368 KB Output is correct
11 Correct 58 ms 39112 KB Output is correct
12 Correct 57 ms 40400 KB Output is correct
13 Correct 60 ms 44232 KB Output is correct
14 Correct 53 ms 35536 KB Output is correct
15 Correct 105 ms 41452 KB Output is correct
16 Correct 99 ms 40828 KB Output is correct
17 Correct 120 ms 42032 KB Output is correct
18 Correct 130 ms 46100 KB Output is correct
19 Correct 106 ms 49512 KB Output is correct
20 Correct 119 ms 50984 KB Output is correct
21 Correct 110 ms 50268 KB Output is correct
22 Correct 111 ms 50676 KB Output is correct
23 Correct 111 ms 50448 KB Output is correct
24 Correct 107 ms 49180 KB Output is correct
25 Correct 113 ms 50252 KB Output is correct
26 Correct 109 ms 49128 KB Output is correct
27 Correct 2 ms 19036 KB Output is correct
28 Correct 2 ms 19036 KB Output is correct
29 Correct 2 ms 19036 KB Output is correct
30 Correct 2 ms 19096 KB Output is correct
31 Correct 2 ms 19036 KB Output is correct
32 Correct 3 ms 19036 KB Output is correct
33 Correct 2 ms 19036 KB Output is correct
34 Correct 3 ms 19036 KB Output is correct
35 Correct 2 ms 19036 KB Output is correct
36 Correct 8 ms 20764 KB Output is correct
37 Correct 57 ms 40428 KB Output is correct
38 Correct 63 ms 40400 KB Output is correct
39 Correct 62 ms 40392 KB Output is correct
40 Correct 55 ms 39884 KB Output is correct
41 Correct 60 ms 39996 KB Output is correct
42 Correct 53 ms 38060 KB Output is correct
43 Correct 58 ms 40272 KB Output is correct
44 Correct 60 ms 40392 KB Output is correct
45 Correct 63 ms 45508 KB Output is correct
46 Correct 60 ms 40400 KB Output is correct
47 Correct 12 ms 20764 KB Output is correct
48 Correct 109 ms 42776 KB Output is correct
49 Correct 116 ms 42852 KB Output is correct
50 Correct 111 ms 42816 KB Output is correct
51 Correct 103 ms 42808 KB Output is correct
52 Correct 101 ms 41332 KB Output is correct
53 Correct 91 ms 36028 KB Output is correct
54 Correct 111 ms 43460 KB Output is correct
55 Correct 106 ms 42952 KB Output is correct
56 Correct 133 ms 47088 KB Output is correct
57 Correct 121 ms 43636 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19036 KB Output is correct
2 Correct 3 ms 19032 KB Output is correct
3 Correct 2 ms 19084 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19036 KB Output is correct
9 Correct 3 ms 19052 KB Output is correct
10 Correct 42 ms 35244 KB Output is correct
11 Correct 56 ms 39368 KB Output is correct
12 Correct 58 ms 39112 KB Output is correct
13 Correct 57 ms 40400 KB Output is correct
14 Correct 60 ms 44232 KB Output is correct
15 Correct 53 ms 35536 KB Output is correct
16 Correct 105 ms 41452 KB Output is correct
17 Correct 99 ms 40828 KB Output is correct
18 Correct 120 ms 42032 KB Output is correct
19 Correct 130 ms 46100 KB Output is correct
20 Correct 106 ms 49512 KB Output is correct
21 Correct 119 ms 50984 KB Output is correct
22 Correct 110 ms 50268 KB Output is correct
23 Correct 111 ms 50676 KB Output is correct
24 Correct 111 ms 50448 KB Output is correct
25 Correct 107 ms 49180 KB Output is correct
26 Correct 113 ms 50252 KB Output is correct
27 Correct 109 ms 49128 KB Output is correct
28 Correct 2 ms 19036 KB Output is correct
29 Correct 2 ms 19036 KB Output is correct
30 Correct 2 ms 19036 KB Output is correct
31 Correct 2 ms 19096 KB Output is correct
32 Correct 2 ms 19036 KB Output is correct
33 Correct 3 ms 19036 KB Output is correct
34 Correct 2 ms 19036 KB Output is correct
35 Correct 3 ms 19036 KB Output is correct
36 Correct 2 ms 19036 KB Output is correct
37 Correct 8 ms 20764 KB Output is correct
38 Correct 57 ms 40428 KB Output is correct
39 Correct 63 ms 40400 KB Output is correct
40 Correct 62 ms 40392 KB Output is correct
41 Correct 55 ms 39884 KB Output is correct
42 Correct 60 ms 39996 KB Output is correct
43 Correct 53 ms 38060 KB Output is correct
44 Correct 58 ms 40272 KB Output is correct
45 Correct 60 ms 40392 KB Output is correct
46 Correct 63 ms 45508 KB Output is correct
47 Correct 60 ms 40400 KB Output is correct
48 Correct 12 ms 20764 KB Output is correct
49 Correct 109 ms 42776 KB Output is correct
50 Correct 116 ms 42852 KB Output is correct
51 Correct 111 ms 42816 KB Output is correct
52 Correct 103 ms 42808 KB Output is correct
53 Correct 101 ms 41332 KB Output is correct
54 Correct 91 ms 36028 KB Output is correct
55 Correct 111 ms 43460 KB Output is correct
56 Correct 106 ms 42952 KB Output is correct
57 Correct 133 ms 47088 KB Output is correct
58 Correct 121 ms 43636 KB Output is correct
59 Correct 45 ms 24592 KB Output is correct
60 Correct 113 ms 42480 KB Output is correct
61 Correct 101 ms 42004 KB Output is correct
62 Correct 115 ms 43500 KB Output is correct
63 Correct 124 ms 47380 KB Output is correct
64 Correct 2 ms 19036 KB Output is correct
65 Correct 2 ms 19036 KB Output is correct
66 Correct 3 ms 19036 KB Output is correct
67 Correct 3 ms 19292 KB Output is correct
68 Correct 3 ms 19032 KB Output is correct
69 Correct 3 ms 19036 KB Output is correct
70 Correct 4 ms 19036 KB Output is correct
71 Correct 4 ms 19288 KB Output is correct
72 Correct 3 ms 19036 KB Output is correct
73 Correct 3 ms 19308 KB Output is correct
74 Correct 86 ms 53956 KB Output is correct
75 Correct 60 ms 40272 KB Output is correct
76 Correct 58 ms 40392 KB Output is correct
77 Correct 73 ms 44744 KB Output is correct
78 Correct 67 ms 53956 KB Output is correct
79 Correct 54 ms 44744 KB Output is correct
80 Correct 71 ms 48324 KB Output is correct
81 Correct 93 ms 55016 KB Output is correct
82 Correct 127 ms 57236 KB Output is correct
83 Correct 112 ms 61380 KB Output is correct
84 Correct 59 ms 45116 KB Output is correct
85 Correct 113 ms 59076 KB Output is correct
86 Correct 44 ms 30076 KB Output is correct
87 Correct 105 ms 42804 KB Output is correct
88 Correct 104 ms 42796 KB Output is correct
89 Correct 123 ms 46052 KB Output is correct
90 Correct 125 ms 58380 KB Output is correct
91 Correct 132 ms 53728 KB Output is correct
92 Correct 135 ms 49676 KB Output is correct
93 Correct 147 ms 56700 KB Output is correct
94 Correct 172 ms 58784 KB Output is correct
95 Correct 163 ms 62912 KB Output is correct
96 Correct 131 ms 47408 KB Output is correct
97 Correct 154 ms 53120 KB Output is correct