oj.uz

Submission #900136

# Submission time Handle Problem Language Result Execution time Memory
900136 2024-01-07T17:53:10 Z DAleksa Capital City (JOI20_capital_city) C++17
100 / 100
 183 ms 71232 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 10, LOG = 19;
int n, k;
vector<int> tree[N];
vector<int> g[N], rg[N];
int a[N];
vector<int> pos[N];
int up[N][LOG];
int tin[N], tout[N], timer;
int lca[N];
bool mark[N];
bool outdeg[N];
int sz[N];

void dfs(int u, int par) {
    tin[u] = timer++;
    for(int v : tree[u]) {
        if(v == par) continue;
        up[v][0] = u;
        dfs(v, u);
    }
    tout[u] = timer++;
}

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

int LCA(int u, int v) {
    if(is_ancestor(u, v)) return u;
    if(is_ancestor(v, u)) return v;
    for(int j = LOG - 1; j >= 0; j--) {
        if(up[u][j] == 0) continue;
        if(is_ancestor(up[u][j], v)) continue;
        u = up[u][j];
    }
    return up[u][0];
}

vector<int> vec;
void dfsrg(int u) {
    if(mark[u]) return;
    mark[u] = true;
    for(int v : rg[u]) {
        if(mark[v]) continue;
        dfsrg(v);
    }
    vec.push_back(u);
}

int scc[N];
int id = 0;
void dfsg(int u) {
    if(mark[u]) return;
    mark[u] = true;
    scc[u] = id;
    for(int v : g[u]) {
        if(mark[v]) continue;
        dfsg(v);
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n >> k;
    for(int i = 1; i < n; i++) {
        int u, v;
        cin >> u >> v;
        tree[u].push_back(v);
        tree[v].push_back(u);
    }
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        pos[a[i]].push_back(i);
    }
    dfs(1, 0);
    for(int j = 1; j < LOG; j++) for(int i = 1; i <= n; i++) up[i][j] = up[up[i][j - 1]][j - 1];
    for(int i = 1; i <= k; i++) {
        lca[i] = pos[i][0];
        for(int j = 1; j < pos[i].size(); j++) lca[i] = LCA(lca[i], pos[i][j]);
    }
    for(int i = 2; i <= n; i++) {
        if(i == lca[a[i]]) continue;
        if(a[up[i][0]] != a[i]) g[a[i]].push_back(a[up[i][0]]);
    }
    for(int i = 1; i <= k; i++) {
        sort(g[i].begin(), g[i].end());
        g[i].erase(unique(g[i].begin(), g[i].end()), g[i].end());
        for(int j : g[i]) rg[j].push_back(i);
    }
    for(int i = 1; i <= k; i++) {
        if(mark[i]) continue;
        dfsrg(i);
    }
    reverse(vec.begin(), vec.end());
    for(int i = 1; i <= k; i++) mark[i] = false;
    for(int i : vec) {
        if(mark[i]) continue;
        id++;
        dfsg(i);
    }
    for(int i = 1; i <= k; i++) {
        for(int j : g[i]) if(scc[i] != scc[j]) outdeg[scc[i]] = true;
        sz[scc[i]]++;
    }
    int ans = k - 1;
    for(int i = 1; i <= k; i++) if(!outdeg[scc[i]]) ans = min(ans, sz[scc[i]] - 1);
    cout << ans;
    return 0;
}

Compilation message

capital_city.cpp: In function 'int main()':
capital_city.cpp:82:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |         for(int j = 1; j < pos[i].size(); j++) lca[i] = LCA(lca[i], pos[i][j]);
      |                        ~~^~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 24668 KB Output is correct
2 Correct 6 ms 24540 KB Output is correct
3 Correct 6 ms 24668 KB Output is correct
4 Correct 5 ms 24668 KB Output is correct
5 Correct 5 ms 24668 KB Output is correct
6 Correct 5 ms 24668 KB Output is correct
7 Correct 5 ms 24668 KB Output is correct
8 Correct 5 ms 24664 KB Output is correct
9 Correct 5 ms 24680 KB Output is correct
10 Correct 5 ms 22616 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 24668 KB Output is correct
2 Correct 6 ms 24540 KB Output is correct
3 Correct 6 ms 24668 KB Output is correct
4 Correct 5 ms 24668 KB Output is correct
5 Correct 5 ms 24668 KB Output is correct
6 Correct 5 ms 24668 KB Output is correct
7 Correct 5 ms 24668 KB Output is correct
8 Correct 5 ms 24664 KB Output is correct
9 Correct 5 ms 24680 KB Output is correct
10 Correct 5 ms 22616 KB Output is correct
11 Correct 6 ms 24872 KB Output is correct
12 Correct 6 ms 24628 KB Output is correct
13 Correct 6 ms 24612 KB Output is correct
14 Correct 6 ms 24664 KB Output is correct
15 Correct 6 ms 24664 KB Output is correct
16 Correct 6 ms 24668 KB Output is correct
17 Correct 8 ms 24876 KB Output is correct
18 Correct 6 ms 24668 KB Output is correct
19 Correct 6 ms 24676 KB Output is correct
20 Correct 7 ms 24668 KB Output is correct
21 Correct 6 ms 24668 KB Output is correct
22 Correct 6 ms 24940 KB Output is correct
23 Correct 6 ms 24924 KB Output is correct
24 Correct 6 ms 24924 KB Output is correct
25 Correct 6 ms 24924 KB Output is correct
26 Correct 6 ms 24920 KB Output is correct
27 Correct 6 ms 24924 KB Output is correct
28 Correct 6 ms 24668 KB Output is correct
29 Correct 6 ms 24668 KB Output is correct
30 Correct 6 ms 24668 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 70680 KB Output is correct
2 Correct 91 ms 70972 KB Output is correct
3 Correct 156 ms 70348 KB Output is correct
4 Correct 89 ms 71120 KB Output is correct
5 Correct 183 ms 67464 KB Output is correct
6 Correct 92 ms 70808 KB Output is correct
7 Correct 148 ms 67356 KB Output is correct
8 Correct 88 ms 69452 KB Output is correct
9 Correct 133 ms 63688 KB Output is correct
10 Correct 147 ms 61776 KB Output is correct
11 Correct 138 ms 63952 KB Output is correct
12 Correct 130 ms 66260 KB Output is correct
13 Correct 152 ms 61380 KB Output is correct
14 Correct 148 ms 66496 KB Output is correct
15 Correct 136 ms 66252 KB Output is correct
16 Correct 132 ms 62112 KB Output is correct
17 Correct 157 ms 62732 KB Output is correct
18 Correct 135 ms 62780 KB Output is correct
19 Correct 139 ms 65368 KB Output is correct
20 Correct 164 ms 67128 KB Output is correct
21 Correct 5 ms 22872 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 24668 KB Output is correct
2 Correct 6 ms 24540 KB Output is correct
3 Correct 6 ms 24668 KB Output is correct
4 Correct 5 ms 24668 KB Output is correct
5 Correct 5 ms 24668 KB Output is correct
6 Correct 5 ms 24668 KB Output is correct
7 Correct 5 ms 24668 KB Output is correct
8 Correct 5 ms 24664 KB Output is correct
9 Correct 5 ms 24680 KB Output is correct
10 Correct 5 ms 22616 KB Output is correct
11 Correct 6 ms 24872 KB Output is correct
12 Correct 6 ms 24628 KB Output is correct
13 Correct 6 ms 24612 KB Output is correct
14 Correct 6 ms 24664 KB Output is correct
15 Correct 6 ms 24664 KB Output is correct
16 Correct 6 ms 24668 KB Output is correct
17 Correct 8 ms 24876 KB Output is correct
18 Correct 6 ms 24668 KB Output is correct
19 Correct 6 ms 24676 KB Output is correct
20 Correct 7 ms 24668 KB Output is correct
21 Correct 6 ms 24668 KB Output is correct
22 Correct 6 ms 24940 KB Output is correct
23 Correct 6 ms 24924 KB Output is correct
24 Correct 6 ms 24924 KB Output is correct
25 Correct 6 ms 24924 KB Output is correct
26 Correct 6 ms 24920 KB Output is correct
27 Correct 6 ms 24924 KB Output is correct
28 Correct 6 ms 24668 KB Output is correct
29 Correct 6 ms 24668 KB Output is correct
30 Correct 6 ms 24668 KB Output is correct
31 Correct 156 ms 70680 KB Output is correct
32 Correct 91 ms 70972 KB Output is correct
33 Correct 156 ms 70348 KB Output is correct
34 Correct 89 ms 71120 KB Output is correct
35 Correct 183 ms 67464 KB Output is correct
36 Correct 92 ms 70808 KB Output is correct
37 Correct 148 ms 67356 KB Output is correct
38 Correct 88 ms 69452 KB Output is correct
39 Correct 133 ms 63688 KB Output is correct
40 Correct 147 ms 61776 KB Output is correct
41 Correct 138 ms 63952 KB Output is correct
42 Correct 130 ms 66260 KB Output is correct
43 Correct 152 ms 61380 KB Output is correct
44 Correct 148 ms 66496 KB Output is correct
45 Correct 136 ms 66252 KB Output is correct
46 Correct 132 ms 62112 KB Output is correct
47 Correct 157 ms 62732 KB Output is correct
48 Correct 135 ms 62780 KB Output is correct
49 Correct 139 ms 65368 KB Output is correct
50 Correct 164 ms 67128 KB Output is correct
51 Correct 5 ms 22872 KB Output is correct
52 Correct 126 ms 53836 KB Output is correct
53 Correct 126 ms 53700 KB Output is correct
54 Correct 147 ms 53588 KB Output is correct
55 Correct 127 ms 53748 KB Output is correct
56 Correct 130 ms 53836 KB Output is correct
57 Correct 148 ms 53768 KB Output is correct
58 Correct 144 ms 58064 KB Output is correct
59 Correct 143 ms 58612 KB Output is correct
60 Correct 166 ms 57804 KB Output is correct
61 Correct 167 ms 57552 KB Output is correct
62 Correct 97 ms 71116 KB Output is correct
63 Correct 103 ms 71232 KB Output is correct
64 Correct 101 ms 69868 KB Output is correct
65 Correct 92 ms 70864 KB Output is correct
66 Correct 116 ms 59592 KB Output is correct
67 Correct 123 ms 59416 KB Output is correct
68 Correct 115 ms 59592 KB Output is correct
69 Correct 124 ms 59512 KB Output is correct
70 Correct 124 ms 59376 KB Output is correct
71 Correct 119 ms 59340 KB Output is correct
72 Correct 115 ms 59336 KB Output is correct
73 Correct 133 ms 58756 KB Output is correct
74 Correct 124 ms 59496 KB Output is correct
75 Correct 120 ms 59336 KB Output is correct
76 Correct 140 ms 63176 KB Output is correct
77 Correct 169 ms 61648 KB Output is correct
78 Correct 150 ms 62840 KB Output is correct
79 Correct 160 ms 60916 KB Output is correct
80 Correct 141 ms 66508 KB Output is correct
81 Correct 146 ms 63984 KB Output is correct
82 Correct 136 ms 63956 KB Output is correct
83 Correct 176 ms 61264 KB Output is correct
84 Correct 171 ms 66076 KB Output is correct
85 Correct 138 ms 64720 KB Output is correct
86 Correct 137 ms 60876 KB Output is correct
87 Correct 137 ms 62216 KB Output is correct
88 Correct 133 ms 62796 KB Output is correct
89 Correct 132 ms 59360 KB Output is correct
90 Correct 134 ms 59088 KB Output is correct
91 Correct 135 ms 61184 KB Output is correct
92 Correct 133 ms 60400 KB Output is correct
93 Correct 134 ms 59852 KB Output is correct
94 Correct 165 ms 59400 KB Output is correct
95 Correct 140 ms 60488 KB Output is correct
96 Correct 138 ms 59604 KB Output is correct
97 Correct 151 ms 61148 KB Output is correct