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Submission #1043819

# Submission time Handle Problem Language Result Execution time Memory
1043819 2024-08-04T19:42:29 Z VMaksimoski008 Swapping Cities (APIO20_swap) C++17
100 / 100
 183 ms 68376 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], P[maxn+5], pref[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) {
    for(int i=1; i<LOG; i++) up[u][i] = up[up[u][i-1]][i-1];

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

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++) pref[i] = (good[i] || cycle[i]);
    dfs(n);
}

int getMinimumFuelCapacity(int X, int Y) {
    X++; Y++;
    int lca = get_lca(X, Y);
    if(!pref[lca]) return -1;
    
    for(int j=LOG-1; j>=0; j--)
        if(up[lca][j] != 0 && pref[lca] - pref[P[up[lca][j]]] == 0) lca = up[lca][j];
    if(good[lca]) return edges[lca-N-1][0];
    return edges[up[lca][0]-N-1][0];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 2 ms 16988 KB Output is correct
4 Correct 2 ms 16988 KB Output is correct
5 Correct 2 ms 16988 KB Output is correct
6 Correct 2 ms 16988 KB Output is correct
7 Correct 2 ms 16996 KB Output is correct
8 Correct 2 ms 16988 KB Output is correct
9 Correct 46 ms 33836 KB Output is correct
10 Correct 54 ms 37736 KB Output is correct
11 Correct 56 ms 37320 KB Output is correct
12 Correct 57 ms 38856 KB Output is correct
13 Correct 56 ms 42692 KB Output is correct
14 Correct 51 ms 33732 KB Output is correct
15 Correct 98 ms 39764 KB Output is correct
16 Correct 98 ms 39180 KB Output is correct
17 Correct 114 ms 40492 KB Output is correct
18 Correct 126 ms 44332 KB Output is correct
19 Correct 47 ms 22692 KB Output is correct
20 Correct 100 ms 41028 KB Output is correct
21 Correct 106 ms 40320 KB Output is correct
22 Correct 109 ms 42028 KB Output is correct
23 Correct 142 ms 45740 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 113 ms 47816 KB Output is correct
4 Correct 112 ms 49456 KB Output is correct
5 Correct 119 ms 48620 KB Output is correct
6 Correct 116 ms 49096 KB Output is correct
7 Correct 117 ms 48940 KB Output is correct
8 Correct 137 ms 47848 KB Output is correct
9 Correct 114 ms 48708 KB Output is correct
10 Correct 112 ms 47344 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 2 ms 16988 KB Output is correct
4 Correct 2 ms 16988 KB Output is correct
5 Correct 2 ms 16988 KB Output is correct
6 Correct 2 ms 16988 KB Output is correct
7 Correct 2 ms 16996 KB Output is correct
8 Correct 2 ms 16988 KB Output is correct
9 Correct 2 ms 16988 KB Output is correct
10 Correct 2 ms 16984 KB Output is correct
11 Correct 2 ms 16984 KB Output is correct
12 Correct 2 ms 16988 KB Output is correct
13 Correct 2 ms 16988 KB Output is correct
14 Correct 2 ms 16996 KB Output is correct
15 Correct 2 ms 16988 KB Output is correct
16 Correct 2 ms 16988 KB Output is correct
17 Correct 2 ms 16984 KB Output is correct
18 Correct 2 ms 16988 KB Output is correct
19 Correct 2 ms 16988 KB Output is correct
20 Correct 3 ms 17004 KB Output is correct
21 Correct 3 ms 16984 KB Output is correct
22 Correct 3 ms 17244 KB Output is correct
23 Correct 2 ms 16988 KB Output is correct
24 Correct 3 ms 16988 KB Output is correct
25 Correct 2 ms 16988 KB Output is correct
26 Correct 2 ms 17044 KB Output is correct
27 Correct 3 ms 16984 KB Output is correct
28 Correct 3 ms 17244 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 2 ms 16988 KB Output is correct
4 Correct 2 ms 16988 KB Output is correct
5 Correct 2 ms 16988 KB Output is correct
6 Correct 2 ms 16988 KB Output is correct
7 Correct 2 ms 16988 KB Output is correct
8 Correct 2 ms 16996 KB Output is correct
9 Correct 2 ms 16988 KB Output is correct
10 Correct 46 ms 33836 KB Output is correct
11 Correct 54 ms 37736 KB Output is correct
12 Correct 56 ms 37320 KB Output is correct
13 Correct 57 ms 38856 KB Output is correct
14 Correct 56 ms 42692 KB Output is correct
15 Correct 2 ms 16984 KB Output is correct
16 Correct 2 ms 16984 KB Output is correct
17 Correct 2 ms 16988 KB Output is correct
18 Correct 2 ms 16988 KB Output is correct
19 Correct 2 ms 16996 KB Output is correct
20 Correct 2 ms 16988 KB Output is correct
21 Correct 2 ms 16988 KB Output is correct
22 Correct 2 ms 16984 KB Output is correct
23 Correct 2 ms 16988 KB Output is correct
24 Correct 2 ms 16988 KB Output is correct
25 Correct 3 ms 17004 KB Output is correct
26 Correct 3 ms 16984 KB Output is correct
27 Correct 3 ms 17244 KB Output is correct
28 Correct 2 ms 16988 KB Output is correct
29 Correct 3 ms 16988 KB Output is correct
30 Correct 2 ms 16988 KB Output is correct
31 Correct 2 ms 17044 KB Output is correct
32 Correct 3 ms 16984 KB Output is correct
33 Correct 3 ms 17244 KB Output is correct
34 Correct 8 ms 18716 KB Output is correct
35 Correct 62 ms 38768 KB Output is correct
36 Correct 57 ms 38864 KB Output is correct
37 Correct 57 ms 38704 KB Output is correct
38 Correct 56 ms 38352 KB Output is correct
39 Correct 64 ms 38364 KB Output is correct
40 Correct 49 ms 36292 KB Output is correct
41 Correct 61 ms 38856 KB Output is correct
42 Correct 62 ms 38756 KB Output is correct
43 Correct 64 ms 43892 KB Output is correct
44 Correct 57 ms 38744 KB Output is correct
45 Correct 96 ms 51316 KB Output is correct
46 Correct 61 ms 38664 KB Output is correct
47 Correct 58 ms 38856 KB Output is correct
48 Correct 64 ms 43208 KB Output is correct
49 Correct 67 ms 51904 KB Output is correct
50 Correct 55 ms 43128 KB Output is correct
51 Correct 74 ms 46536 KB Output is correct
52 Correct 93 ms 52928 KB Output is correct
53 Correct 104 ms 55744 KB Output is correct
54 Correct 110 ms 60148 KB Output is correct
55 Correct 58 ms 43472 KB Output is correct
56 Correct 110 ms 58360 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 2 ms 16988 KB Output is correct
4 Correct 2 ms 16988 KB Output is correct
5 Correct 2 ms 16988 KB Output is correct
6 Correct 2 ms 16988 KB Output is correct
7 Correct 2 ms 16996 KB Output is correct
8 Correct 2 ms 16988 KB Output is correct
9 Correct 46 ms 33836 KB Output is correct
10 Correct 54 ms 37736 KB Output is correct
11 Correct 56 ms 37320 KB Output is correct
12 Correct 57 ms 38856 KB Output is correct
13 Correct 56 ms 42692 KB Output is correct
14 Correct 51 ms 33732 KB Output is correct
15 Correct 98 ms 39764 KB Output is correct
16 Correct 98 ms 39180 KB Output is correct
17 Correct 114 ms 40492 KB Output is correct
18 Correct 126 ms 44332 KB Output is correct
19 Correct 113 ms 47816 KB Output is correct
20 Correct 112 ms 49456 KB Output is correct
21 Correct 119 ms 48620 KB Output is correct
22 Correct 116 ms 49096 KB Output is correct
23 Correct 117 ms 48940 KB Output is correct
24 Correct 137 ms 47848 KB Output is correct
25 Correct 114 ms 48708 KB Output is correct
26 Correct 112 ms 47344 KB Output is correct
27 Correct 2 ms 16984 KB Output is correct
28 Correct 2 ms 16984 KB Output is correct
29 Correct 2 ms 16988 KB Output is correct
30 Correct 2 ms 16988 KB Output is correct
31 Correct 2 ms 16996 KB Output is correct
32 Correct 2 ms 16988 KB Output is correct
33 Correct 2 ms 16988 KB Output is correct
34 Correct 2 ms 16984 KB Output is correct
35 Correct 2 ms 16988 KB Output is correct
36 Correct 8 ms 18716 KB Output is correct
37 Correct 62 ms 38768 KB Output is correct
38 Correct 57 ms 38864 KB Output is correct
39 Correct 57 ms 38704 KB Output is correct
40 Correct 56 ms 38352 KB Output is correct
41 Correct 64 ms 38364 KB Output is correct
42 Correct 49 ms 36292 KB Output is correct
43 Correct 61 ms 38856 KB Output is correct
44 Correct 62 ms 38756 KB Output is correct
45 Correct 64 ms 43892 KB Output is correct
46 Correct 57 ms 38744 KB Output is correct
47 Correct 13 ms 18712 KB Output is correct
48 Correct 104 ms 41236 KB Output is correct
49 Correct 111 ms 41260 KB Output is correct
50 Correct 119 ms 41240 KB Output is correct
51 Correct 109 ms 41276 KB Output is correct
52 Correct 102 ms 39704 KB Output is correct
53 Correct 97 ms 34492 KB Output is correct
54 Correct 111 ms 42028 KB Output is correct
55 Correct 103 ms 41236 KB Output is correct
56 Correct 130 ms 45356 KB Output is correct
57 Correct 117 ms 42028 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16988 KB Output is correct
2 Correct 2 ms 16988 KB Output is correct
3 Correct 2 ms 16988 KB Output is correct
4 Correct 2 ms 16988 KB Output is correct
5 Correct 2 ms 16988 KB Output is correct
6 Correct 2 ms 16988 KB Output is correct
7 Correct 2 ms 16988 KB Output is correct
8 Correct 2 ms 16996 KB Output is correct
9 Correct 2 ms 16988 KB Output is correct
10 Correct 46 ms 33836 KB Output is correct
11 Correct 54 ms 37736 KB Output is correct
12 Correct 56 ms 37320 KB Output is correct
13 Correct 57 ms 38856 KB Output is correct
14 Correct 56 ms 42692 KB Output is correct
15 Correct 51 ms 33732 KB Output is correct
16 Correct 98 ms 39764 KB Output is correct
17 Correct 98 ms 39180 KB Output is correct
18 Correct 114 ms 40492 KB Output is correct
19 Correct 126 ms 44332 KB Output is correct
20 Correct 113 ms 47816 KB Output is correct
21 Correct 112 ms 49456 KB Output is correct
22 Correct 119 ms 48620 KB Output is correct
23 Correct 116 ms 49096 KB Output is correct
24 Correct 117 ms 48940 KB Output is correct
25 Correct 137 ms 47848 KB Output is correct
26 Correct 114 ms 48708 KB Output is correct
27 Correct 112 ms 47344 KB Output is correct
28 Correct 2 ms 16984 KB Output is correct
29 Correct 2 ms 16984 KB Output is correct
30 Correct 2 ms 16988 KB Output is correct
31 Correct 2 ms 16988 KB Output is correct
32 Correct 2 ms 16996 KB Output is correct
33 Correct 2 ms 16988 KB Output is correct
34 Correct 2 ms 16988 KB Output is correct
35 Correct 2 ms 16984 KB Output is correct
36 Correct 2 ms 16988 KB Output is correct
37 Correct 8 ms 18716 KB Output is correct
38 Correct 62 ms 38768 KB Output is correct
39 Correct 57 ms 38864 KB Output is correct
40 Correct 57 ms 38704 KB Output is correct
41 Correct 56 ms 38352 KB Output is correct
42 Correct 64 ms 38364 KB Output is correct
43 Correct 49 ms 36292 KB Output is correct
44 Correct 61 ms 38856 KB Output is correct
45 Correct 62 ms 38756 KB Output is correct
46 Correct 64 ms 43892 KB Output is correct
47 Correct 57 ms 38744 KB Output is correct
48 Correct 13 ms 18712 KB Output is correct
49 Correct 104 ms 41236 KB Output is correct
50 Correct 111 ms 41260 KB Output is correct
51 Correct 119 ms 41240 KB Output is correct
52 Correct 109 ms 41276 KB Output is correct
53 Correct 102 ms 39704 KB Output is correct
54 Correct 97 ms 34492 KB Output is correct
55 Correct 111 ms 42028 KB Output is correct
56 Correct 103 ms 41236 KB Output is correct
57 Correct 130 ms 45356 KB Output is correct
58 Correct 117 ms 42028 KB Output is correct
59 Correct 47 ms 22692 KB Output is correct
60 Correct 100 ms 41028 KB Output is correct
61 Correct 106 ms 40320 KB Output is correct
62 Correct 109 ms 42028 KB Output is correct
63 Correct 142 ms 45740 KB Output is correct
64 Correct 2 ms 16988 KB Output is correct
65 Correct 3 ms 17004 KB Output is correct
66 Correct 3 ms 16984 KB Output is correct
67 Correct 3 ms 17244 KB Output is correct
68 Correct 2 ms 16988 KB Output is correct
69 Correct 3 ms 16988 KB Output is correct
70 Correct 2 ms 16988 KB Output is correct
71 Correct 2 ms 17044 KB Output is correct
72 Correct 3 ms 16984 KB Output is correct
73 Correct 3 ms 17244 KB Output is correct
74 Correct 96 ms 51316 KB Output is correct
75 Correct 61 ms 38664 KB Output is correct
76 Correct 58 ms 38856 KB Output is correct
77 Correct 64 ms 43208 KB Output is correct
78 Correct 67 ms 51904 KB Output is correct
79 Correct 55 ms 43128 KB Output is correct
80 Correct 74 ms 46536 KB Output is correct
81 Correct 93 ms 52928 KB Output is correct
82 Correct 104 ms 55744 KB Output is correct
83 Correct 110 ms 60148 KB Output is correct
84 Correct 58 ms 43472 KB Output is correct
85 Correct 110 ms 58360 KB Output is correct
86 Correct 43 ms 29864 KB Output is correct
87 Correct 106 ms 45436 KB Output is correct
88 Correct 110 ms 45356 KB Output is correct
89 Correct 135 ms 48884 KB Output is correct
90 Correct 127 ms 60308 KB Output is correct
91 Correct 133 ms 58132 KB Output is correct
92 Correct 142 ms 53032 KB Output is correct
93 Correct 145 ms 61032 KB Output is correct
94 Correct 183 ms 64592 KB Output is correct
95 Correct 159 ms 68376 KB Output is correct
96 Correct 143 ms 49888 KB Output is correct
97 Correct 154 ms 56880 KB Output is correct