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Submission #1043822

# Submission time Handle Problem Language Result Execution time Memory
1043822 2024-08-04T19:51:19 Z VMaksimoski008 Swapping Cities (APIO20_swap) C++17
100 / 100
 165 ms 63172 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

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

int par[maxn], C[maxn], deg[maxn], dp[maxn], P[maxn], ok[maxn], G[maxn], d[maxn], n, m, N, up[maxn][LOG];
vector<int> graph[maxn];
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) C[n] = 1;
    par[n] = par[a] = par[b] = n;
    if(G[a] || G[b]) G[n] = 1;
    if(C[a] || C[b]) C[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;
        C[i] = deg[i] = G[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 || deg[v] >= 3) G[n+1] = 1;
        uni(u, v);
    }

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

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

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 2 ms 19036 KB Output is correct
7 Correct 2 ms 19036 KB Output is correct
8 Correct 3 ms 19036 KB Output is correct
9 Correct 46 ms 35456 KB Output is correct
10 Correct 52 ms 39364 KB Output is correct
11 Correct 51 ms 39116 KB Output is correct
12 Correct 60 ms 40396 KB Output is correct
13 Correct 60 ms 44236 KB Output is correct
14 Correct 48 ms 35568 KB Output is correct
15 Correct 106 ms 41456 KB Output is correct
16 Correct 99 ms 40824 KB Output is correct
17 Correct 105 ms 42092 KB Output is correct
18 Correct 123 ms 46060 KB Output is correct
19 Correct 43 ms 24596 KB Output is correct
20 Correct 99 ms 42564 KB Output is correct
21 Correct 96 ms 41856 KB Output is correct
22 Correct 101 ms 43604 KB Output is correct
23 Correct 126 ms 47376 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 109 ms 49512 KB Output is correct
4 Correct 107 ms 50924 KB Output is correct
5 Correct 111 ms 50268 KB Output is correct
6 Correct 117 ms 50984 KB Output is correct
7 Correct 111 ms 50500 KB Output is correct
8 Correct 105 ms 49272 KB Output is correct
9 Correct 113 ms 50248 KB Output is correct
10 Correct 106 ms 49024 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 2 ms 19036 KB Output is correct
7 Correct 2 ms 19036 KB Output is correct
8 Correct 3 ms 19036 KB Output is correct
9 Correct 2 ms 19036 KB Output is correct
10 Correct 3 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 19036 KB Output is correct
14 Correct 3 ms 19036 KB Output is correct
15 Correct 3 ms 19036 KB Output is correct
16 Correct 3 ms 19036 KB Output is correct
17 Correct 2 ms 19036 KB Output is correct
18 Correct 3 ms 19036 KB Output is correct
19 Correct 2 ms 19036 KB Output is correct
20 Correct 3 ms 19148 KB Output is correct
21 Correct 2 ms 19036 KB Output is correct
22 Correct 3 ms 19292 KB Output is correct
23 Correct 2 ms 19108 KB Output is correct
24 Correct 3 ms 19036 KB Output is correct
25 Correct 3 ms 19036 KB Output is correct
26 Correct 3 ms 19296 KB Output is correct
27 Correct 2 ms 19048 KB Output is correct
28 Correct 3 ms 19288 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 2 ms 19036 KB Output is correct
7 Correct 2 ms 19036 KB Output is correct
8 Correct 2 ms 19036 KB Output is correct
9 Correct 3 ms 19036 KB Output is correct
10 Correct 46 ms 35456 KB Output is correct
11 Correct 52 ms 39364 KB Output is correct
12 Correct 51 ms 39116 KB Output is correct
13 Correct 60 ms 40396 KB Output is correct
14 Correct 60 ms 44236 KB Output is correct
15 Correct 3 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 19036 KB Output is correct
19 Correct 3 ms 19036 KB Output is correct
20 Correct 3 ms 19036 KB Output is correct
21 Correct 3 ms 19036 KB Output is correct
22 Correct 2 ms 19036 KB Output is correct
23 Correct 3 ms 19036 KB Output is correct
24 Correct 2 ms 19036 KB Output is correct
25 Correct 3 ms 19148 KB Output is correct
26 Correct 2 ms 19036 KB Output is correct
27 Correct 3 ms 19292 KB Output is correct
28 Correct 2 ms 19108 KB Output is correct
29 Correct 3 ms 19036 KB Output is correct
30 Correct 3 ms 19036 KB Output is correct
31 Correct 3 ms 19296 KB Output is correct
32 Correct 2 ms 19048 KB Output is correct
33 Correct 3 ms 19288 KB Output is correct
34 Correct 9 ms 20764 KB Output is correct
35 Correct 59 ms 40388 KB Output is correct
36 Correct 62 ms 40388 KB Output is correct
37 Correct 60 ms 40392 KB Output is correct
38 Correct 56 ms 39960 KB Output is correct
39 Correct 56 ms 39976 KB Output is correct
40 Correct 59 ms 38088 KB Output is correct
41 Correct 59 ms 40392 KB Output is correct
42 Correct 56 ms 40388 KB Output is correct
43 Correct 61 ms 45512 KB Output is correct
44 Correct 57 ms 40332 KB Output is correct
45 Correct 88 ms 53448 KB Output is correct
46 Correct 55 ms 40400 KB Output is correct
47 Correct 57 ms 40552 KB Output is correct
48 Correct 68 ms 44740 KB Output is correct
49 Correct 68 ms 53000 KB Output is correct
50 Correct 53 ms 44872 KB Output is correct
51 Correct 72 ms 48072 KB Output is correct
52 Correct 94 ms 54200 KB Output is correct
53 Correct 109 ms 56508 KB Output is correct
54 Correct 105 ms 61888 KB Output is correct
55 Correct 56 ms 44996 KB Output is correct
56 Correct 106 ms 59068 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 2 ms 19036 KB Output is correct
7 Correct 2 ms 19036 KB Output is correct
8 Correct 3 ms 19036 KB Output is correct
9 Correct 46 ms 35456 KB Output is correct
10 Correct 52 ms 39364 KB Output is correct
11 Correct 51 ms 39116 KB Output is correct
12 Correct 60 ms 40396 KB Output is correct
13 Correct 60 ms 44236 KB Output is correct
14 Correct 48 ms 35568 KB Output is correct
15 Correct 106 ms 41456 KB Output is correct
16 Correct 99 ms 40824 KB Output is correct
17 Correct 105 ms 42092 KB Output is correct
18 Correct 123 ms 46060 KB Output is correct
19 Correct 109 ms 49512 KB Output is correct
20 Correct 107 ms 50924 KB Output is correct
21 Correct 111 ms 50268 KB Output is correct
22 Correct 117 ms 50984 KB Output is correct
23 Correct 111 ms 50500 KB Output is correct
24 Correct 105 ms 49272 KB Output is correct
25 Correct 113 ms 50248 KB Output is correct
26 Correct 106 ms 49024 KB Output is correct
27 Correct 3 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 19036 KB Output is correct
31 Correct 3 ms 19036 KB Output is correct
32 Correct 3 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 9 ms 20764 KB Output is correct
37 Correct 59 ms 40388 KB Output is correct
38 Correct 62 ms 40388 KB Output is correct
39 Correct 60 ms 40392 KB Output is correct
40 Correct 56 ms 39960 KB Output is correct
41 Correct 56 ms 39976 KB Output is correct
42 Correct 59 ms 38088 KB Output is correct
43 Correct 59 ms 40392 KB Output is correct
44 Correct 56 ms 40388 KB Output is correct
45 Correct 61 ms 45512 KB Output is correct
46 Correct 57 ms 40332 KB Output is correct
47 Correct 12 ms 20764 KB Output is correct
48 Correct 122 ms 42768 KB Output is correct
49 Correct 113 ms 42796 KB Output is correct
50 Correct 106 ms 42728 KB Output is correct
51 Correct 103 ms 42768 KB Output is correct
52 Correct 97 ms 41456 KB Output is correct
53 Correct 92 ms 36028 KB Output is correct
54 Correct 106 ms 43448 KB Output is correct
55 Correct 107 ms 42796 KB Output is correct
56 Correct 140 ms 46892 KB Output is correct
57 Correct 113 ms 43568 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 2 ms 19036 KB Output is correct
5 Correct 2 ms 19036 KB Output is correct
6 Correct 2 ms 19036 KB Output is correct
7 Correct 2 ms 19036 KB Output is correct
8 Correct 2 ms 19036 KB Output is correct
9 Correct 3 ms 19036 KB Output is correct
10 Correct 46 ms 35456 KB Output is correct
11 Correct 52 ms 39364 KB Output is correct
12 Correct 51 ms 39116 KB Output is correct
13 Correct 60 ms 40396 KB Output is correct
14 Correct 60 ms 44236 KB Output is correct
15 Correct 48 ms 35568 KB Output is correct
16 Correct 106 ms 41456 KB Output is correct
17 Correct 99 ms 40824 KB Output is correct
18 Correct 105 ms 42092 KB Output is correct
19 Correct 123 ms 46060 KB Output is correct
20 Correct 109 ms 49512 KB Output is correct
21 Correct 107 ms 50924 KB Output is correct
22 Correct 111 ms 50268 KB Output is correct
23 Correct 117 ms 50984 KB Output is correct
24 Correct 111 ms 50500 KB Output is correct
25 Correct 105 ms 49272 KB Output is correct
26 Correct 113 ms 50248 KB Output is correct
27 Correct 106 ms 49024 KB Output is correct
28 Correct 3 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 19036 KB Output is correct
32 Correct 3 ms 19036 KB Output is correct
33 Correct 3 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 3 ms 19036 KB Output is correct
37 Correct 9 ms 20764 KB Output is correct
38 Correct 59 ms 40388 KB Output is correct
39 Correct 62 ms 40388 KB Output is correct
40 Correct 60 ms 40392 KB Output is correct
41 Correct 56 ms 39960 KB Output is correct
42 Correct 56 ms 39976 KB Output is correct
43 Correct 59 ms 38088 KB Output is correct
44 Correct 59 ms 40392 KB Output is correct
45 Correct 56 ms 40388 KB Output is correct
46 Correct 61 ms 45512 KB Output is correct
47 Correct 57 ms 40332 KB Output is correct
48 Correct 12 ms 20764 KB Output is correct
49 Correct 122 ms 42768 KB Output is correct
50 Correct 113 ms 42796 KB Output is correct
51 Correct 106 ms 42728 KB Output is correct
52 Correct 103 ms 42768 KB Output is correct
53 Correct 97 ms 41456 KB Output is correct
54 Correct 92 ms 36028 KB Output is correct
55 Correct 106 ms 43448 KB Output is correct
56 Correct 107 ms 42796 KB Output is correct
57 Correct 140 ms 46892 KB Output is correct
58 Correct 113 ms 43568 KB Output is correct
59 Correct 43 ms 24596 KB Output is correct
60 Correct 99 ms 42564 KB Output is correct
61 Correct 96 ms 41856 KB Output is correct
62 Correct 101 ms 43604 KB Output is correct
63 Correct 126 ms 47376 KB Output is correct
64 Correct 2 ms 19036 KB Output is correct
65 Correct 3 ms 19148 KB Output is correct
66 Correct 2 ms 19036 KB Output is correct
67 Correct 3 ms 19292 KB Output is correct
68 Correct 2 ms 19108 KB Output is correct
69 Correct 3 ms 19036 KB Output is correct
70 Correct 3 ms 19036 KB Output is correct
71 Correct 3 ms 19296 KB Output is correct
72 Correct 2 ms 19048 KB Output is correct
73 Correct 3 ms 19288 KB Output is correct
74 Correct 88 ms 53448 KB Output is correct
75 Correct 55 ms 40400 KB Output is correct
76 Correct 57 ms 40552 KB Output is correct
77 Correct 68 ms 44740 KB Output is correct
78 Correct 68 ms 53000 KB Output is correct
79 Correct 53 ms 44872 KB Output is correct
80 Correct 72 ms 48072 KB Output is correct
81 Correct 94 ms 54200 KB Output is correct
82 Correct 109 ms 56508 KB Output is correct
83 Correct 105 ms 61888 KB Output is correct
84 Correct 56 ms 44996 KB Output is correct
85 Correct 106 ms 59068 KB Output is correct
86 Correct 46 ms 30076 KB Output is correct
87 Correct 103 ms 42800 KB Output is correct
88 Correct 100 ms 42800 KB Output is correct
89 Correct 124 ms 46020 KB Output is correct
90 Correct 121 ms 57112 KB Output is correct
91 Correct 119 ms 53988 KB Output is correct
92 Correct 131 ms 49644 KB Output is correct
93 Correct 134 ms 56184 KB Output is correct
94 Correct 164 ms 59300 KB Output is correct
95 Correct 156 ms 63172 KB Output is correct
96 Correct 131 ms 47408 KB Output is correct
97 Correct 165 ms 53120 KB Output is correct