oj.uz

Submission #447159

# Submission time Handle Problem Language Result Execution time Memory
447159 2021-07-24T19:30:56 Z aryan12 Mergers (JOI19_mergers) C++17
100 / 100
 1279 ms 165328 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());

const int N = 5e5 + 5;
vector<int> g[N], states[N];
int depth[N];
int DP[20][N];
int par[N];

int Find(int x) {
    if(par[x] == x) {
        return x;
    }
    return par[x] = Find(par[x]);
}

void Unite(int a, int b) {
    a = Find(a), b = Find(b);
    if(depth[a] > depth[b]) {
        swap(a, b);
    }
    par[b] = a;
}

void dfs(int node, int parent) {
    DP[0][node] = parent;
    for(auto i: g[node]) {
        if(i == parent) {
            continue;
        }
        depth[i] = depth[node] + 1;
        dfs(i, node);
    }
}

int LCA(int x, int y) {
    if(depth[x] > depth[y]) {
        swap(x, y);
    }
    int diff = depth[y] - depth[x];
    for(int i = 19; i >= 0; i--) {
        if((1 << i) <= diff) {
            diff -= (1 << i);
            y = DP[i][y];
        }
    }
    if(x == y) {
        return x;
    }
    for(int i = 19; i >= 0; i--) {
        if(DP[i][x] != DP[i][y]) {
            x = DP[i][x];
            y = DP[i][y];
        }
    }
    return DP[0][x];
}

bool cmp(int a, int b) {
    return depth[a] > depth[b];
}

void Solve() {
    for(int i = 0; i < N; i++) {
        par[i] = i;
    }
    int n, k;
    cin >> n >> k;
    for(int i = 1; i < n; i++) {
        int u, v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    depth[1] = 1;
    dfs(1, -1);
    for(int i = 1; i < 20; i++) {
        for(int j = 1; j <= n; j++) {
            if(DP[i - 1][j] == -1) {
                DP[i][j] = -1;
            }
            else {
                DP[i][j] = DP[i - 1][DP[i - 1][j]];
            }
        }
    }
    for(int i = 1; i <= n; i++) {
        int cur_state;
        cin >> cur_state;
        states[cur_state].push_back(i);
    }
    for(int i = 1; i <= k; i++) {
        sort(states[i].begin(), states[i].end(), cmp);
        /*cout << "i = " << i << ", size = " << states[i].size() << "\n";
        for(int j = 0; j < states[i].size(); j++) {
            cout << states[i][j] << " ";
        }
        cout << "\n";*/
        int len = states[i].size();
        int node = states[i][0];
        for(int j = 1; j < len; j++) {
            int lca = LCA(node, states[i][j]);
            int cur_node = Find(node);
            while(depth[cur_node] > depth[lca]) {
                Unite(cur_node, DP[0][cur_node]);
                cur_node = Find(cur_node);
            }
            cur_node = Find(states[i][j]);
            while(depth[cur_node] > depth[lca]) {
                Unite(cur_node, DP[0][cur_node]);
                cur_node = Find(cur_node);
            }
            node = lca;
        }
    }
    int degree[n + 1];
    for(int i = 0; i <= n; i++) {
        degree[i] = 0;
    }
    for(int i = 1; i <= n; i++) {
        for(auto j: g[i]) {
            if(Find(j) != Find(i) && j != DP[0][i]) {
                degree[Find(i)]++;
                degree[Find(j)]++;
            }
        }
    }
    int ans = 0;
    /*for(int i = 1; i <= n; i++) {
        cout << degree[i] << " ";
    }
    cout << "\n";
    for(int i = 1; i <= n; i++) {
        cout << Find(i) << " ";
    }
    cout << "\n";*/
    for(int i = 1; i <= n; i++) {
        if(degree[i] == 1) {
            ans++;
        }
    }
    cout << (ans + 1) / 2 << "\n";
}

int32_t main() {
    auto begin = std::chrono::high_resolution_clock::now();
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    while(t--) {
        Solve();
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 27864 KB Output is correct
2 Correct 15 ms 27828 KB Output is correct
3 Correct 15 ms 27852 KB Output is correct
4 Correct 16 ms 27864 KB Output is correct
5 Correct 15 ms 27840 KB Output is correct
6 Correct 15 ms 27832 KB Output is correct
7 Correct 15 ms 27856 KB Output is correct
8 Correct 16 ms 27868 KB Output is correct
9 Correct 15 ms 27868 KB Output is correct
10 Correct 15 ms 27852 KB Output is correct
11 Correct 15 ms 27872 KB Output is correct
12 Correct 15 ms 27824 KB Output is correct
13 Correct 15 ms 27852 KB Output is correct
14 Correct 15 ms 27852 KB Output is correct
15 Correct 15 ms 27852 KB Output is correct
16 Correct 15 ms 27856 KB Output is correct
17 Correct 15 ms 27852 KB Output is correct
18 Correct 15 ms 27868 KB Output is correct
19 Correct 15 ms 27852 KB Output is correct
20 Correct 15 ms 27808 KB Output is correct
21 Correct 15 ms 27852 KB Output is correct
22 Correct 15 ms 27852 KB Output is correct
23 Correct 15 ms 27872 KB Output is correct
24 Correct 15 ms 27852 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 27864 KB Output is correct
2 Correct 15 ms 27828 KB Output is correct
3 Correct 15 ms 27852 KB Output is correct
4 Correct 16 ms 27864 KB Output is correct
5 Correct 15 ms 27840 KB Output is correct
6 Correct 15 ms 27832 KB Output is correct
7 Correct 15 ms 27856 KB Output is correct
8 Correct 16 ms 27868 KB Output is correct
9 Correct 15 ms 27868 KB Output is correct
10 Correct 15 ms 27852 KB Output is correct
11 Correct 15 ms 27872 KB Output is correct
12 Correct 15 ms 27824 KB Output is correct
13 Correct 15 ms 27852 KB Output is correct
14 Correct 15 ms 27852 KB Output is correct
15 Correct 15 ms 27852 KB Output is correct
16 Correct 15 ms 27856 KB Output is correct
17 Correct 15 ms 27852 KB Output is correct
18 Correct 15 ms 27868 KB Output is correct
19 Correct 15 ms 27852 KB Output is correct
20 Correct 15 ms 27808 KB Output is correct
21 Correct 15 ms 27852 KB Output is correct
22 Correct 15 ms 27852 KB Output is correct
23 Correct 15 ms 27872 KB Output is correct
24 Correct 15 ms 27852 KB Output is correct
25 Correct 16 ms 27792 KB Output is correct
26 Correct 17 ms 28492 KB Output is correct
27 Correct 17 ms 28560 KB Output is correct
28 Correct 18 ms 28676 KB Output is correct
29 Correct 17 ms 28636 KB Output is correct
30 Correct 17 ms 28492 KB Output is correct
31 Correct 15 ms 27852 KB Output is correct
32 Correct 18 ms 28708 KB Output is correct
33 Correct 15 ms 27796 KB Output is correct
34 Correct 17 ms 28500 KB Output is correct
35 Correct 18 ms 28576 KB Output is correct
36 Correct 17 ms 28468 KB Output is correct
37 Correct 17 ms 28580 KB Output is correct
38 Correct 15 ms 27848 KB Output is correct
39 Correct 17 ms 28608 KB Output is correct
40 Correct 18 ms 28500 KB Output is correct
41 Correct 17 ms 28544 KB Output is correct
42 Correct 17 ms 28620 KB Output is correct
43 Correct 16 ms 28620 KB Output is correct
44 Correct 15 ms 27852 KB Output is correct
45 Correct 17 ms 28620 KB Output is correct
46 Correct 17 ms 28492 KB Output is correct
47 Correct 15 ms 27852 KB Output is correct
48 Correct 18 ms 28504 KB Output is correct
49 Correct 17 ms 28620 KB Output is correct
50 Correct 17 ms 28580 KB Output is correct
51 Correct 17 ms 28492 KB Output is correct
52 Correct 17 ms 28620 KB Output is correct
53 Correct 17 ms 28572 KB Output is correct
54 Correct 17 ms 28580 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 27864 KB Output is correct
2 Correct 15 ms 27828 KB Output is correct
3 Correct 15 ms 27852 KB Output is correct
4 Correct 16 ms 27864 KB Output is correct
5 Correct 15 ms 27840 KB Output is correct
6 Correct 15 ms 27832 KB Output is correct
7 Correct 15 ms 27856 KB Output is correct
8 Correct 16 ms 27868 KB Output is correct
9 Correct 15 ms 27868 KB Output is correct
10 Correct 15 ms 27852 KB Output is correct
11 Correct 15 ms 27872 KB Output is correct
12 Correct 15 ms 27824 KB Output is correct
13 Correct 15 ms 27852 KB Output is correct
14 Correct 15 ms 27852 KB Output is correct
15 Correct 15 ms 27852 KB Output is correct
16 Correct 15 ms 27856 KB Output is correct
17 Correct 15 ms 27852 KB Output is correct
18 Correct 15 ms 27868 KB Output is correct
19 Correct 15 ms 27852 KB Output is correct
20 Correct 15 ms 27808 KB Output is correct
21 Correct 15 ms 27852 KB Output is correct
22 Correct 15 ms 27852 KB Output is correct
23 Correct 15 ms 27872 KB Output is correct
24 Correct 15 ms 27852 KB Output is correct
25 Correct 15 ms 27816 KB Output is correct
26 Correct 83 ms 51460 KB Output is correct
27 Correct 103 ms 51268 KB Output is correct
28 Correct 17 ms 28544 KB Output is correct
29 Correct 15 ms 27852 KB Output is correct
30 Correct 15 ms 27856 KB Output is correct
31 Correct 102 ms 51152 KB Output is correct
32 Correct 17 ms 28492 KB Output is correct
33 Correct 134 ms 54340 KB Output is correct
34 Correct 102 ms 51252 KB Output is correct
35 Correct 17 ms 28492 KB Output is correct
36 Correct 112 ms 50500 KB Output is correct
37 Correct 17 ms 28500 KB Output is correct
38 Correct 17 ms 28612 KB Output is correct
39 Correct 83 ms 51376 KB Output is correct
40 Correct 17 ms 28668 KB Output is correct
41 Correct 115 ms 51012 KB Output is correct
42 Correct 125 ms 51344 KB Output is correct
43 Correct 15 ms 27852 KB Output is correct
44 Correct 113 ms 54468 KB Output is correct
45 Correct 230 ms 53448 KB Output is correct
46 Correct 17 ms 28640 KB Output is correct
47 Correct 18 ms 28532 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 50100 KB Output is correct
2 Correct 83 ms 52056 KB Output is correct
3 Correct 18 ms 28632 KB Output is correct
4 Correct 18 ms 28492 KB Output is correct
5 Correct 15 ms 27844 KB Output is correct
6 Correct 15 ms 27852 KB Output is correct
7 Correct 17 ms 28492 KB Output is correct
8 Correct 196 ms 52344 KB Output is correct
9 Correct 17 ms 28504 KB Output is correct
10 Correct 115 ms 51400 KB Output is correct
11 Correct 15 ms 27820 KB Output is correct
12 Correct 108 ms 50884 KB Output is correct
13 Correct 159 ms 52268 KB Output is correct
14 Correct 99 ms 53608 KB Output is correct
15 Correct 83 ms 51412 KB Output is correct
16 Correct 17 ms 28620 KB Output is correct
17 Correct 16 ms 27916 KB Output is correct
18 Correct 109 ms 53584 KB Output is correct
19 Correct 106 ms 54700 KB Output is correct
20 Correct 17 ms 28492 KB Output is correct
21 Correct 15 ms 27852 KB Output is correct
22 Correct 171 ms 52416 KB Output is correct
23 Correct 18 ms 28496 KB Output is correct
24 Correct 127 ms 51684 KB Output is correct
25 Correct 109 ms 54724 KB Output is correct
26 Correct 17 ms 28620 KB Output is correct
27 Correct 19 ms 28560 KB Output is correct
28 Correct 17 ms 28504 KB Output is correct
29 Correct 17 ms 28508 KB Output is correct
30 Correct 17 ms 28620 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 27864 KB Output is correct
2 Correct 15 ms 27828 KB Output is correct
3 Correct 15 ms 27852 KB Output is correct
4 Correct 16 ms 27864 KB Output is correct
5 Correct 15 ms 27840 KB Output is correct
6 Correct 15 ms 27832 KB Output is correct
7 Correct 15 ms 27856 KB Output is correct
8 Correct 16 ms 27868 KB Output is correct
9 Correct 15 ms 27868 KB Output is correct
10 Correct 15 ms 27852 KB Output is correct
11 Correct 15 ms 27872 KB Output is correct
12 Correct 15 ms 27824 KB Output is correct
13 Correct 15 ms 27852 KB Output is correct
14 Correct 15 ms 27852 KB Output is correct
15 Correct 15 ms 27852 KB Output is correct
16 Correct 15 ms 27856 KB Output is correct
17 Correct 15 ms 27852 KB Output is correct
18 Correct 15 ms 27868 KB Output is correct
19 Correct 15 ms 27852 KB Output is correct
20 Correct 15 ms 27808 KB Output is correct
21 Correct 15 ms 27852 KB Output is correct
22 Correct 15 ms 27852 KB Output is correct
23 Correct 15 ms 27872 KB Output is correct
24 Correct 15 ms 27852 KB Output is correct
25 Correct 16 ms 27792 KB Output is correct
26 Correct 17 ms 28492 KB Output is correct
27 Correct 17 ms 28560 KB Output is correct
28 Correct 18 ms 28676 KB Output is correct
29 Correct 17 ms 28636 KB Output is correct
30 Correct 17 ms 28492 KB Output is correct
31 Correct 15 ms 27852 KB Output is correct
32 Correct 18 ms 28708 KB Output is correct
33 Correct 15 ms 27796 KB Output is correct
34 Correct 17 ms 28500 KB Output is correct
35 Correct 18 ms 28576 KB Output is correct
36 Correct 17 ms 28468 KB Output is correct
37 Correct 17 ms 28580 KB Output is correct
38 Correct 15 ms 27848 KB Output is correct
39 Correct 17 ms 28608 KB Output is correct
40 Correct 18 ms 28500 KB Output is correct
41 Correct 17 ms 28544 KB Output is correct
42 Correct 17 ms 28620 KB Output is correct
43 Correct 16 ms 28620 KB Output is correct
44 Correct 15 ms 27852 KB Output is correct
45 Correct 17 ms 28620 KB Output is correct
46 Correct 17 ms 28492 KB Output is correct
47 Correct 15 ms 27852 KB Output is correct
48 Correct 18 ms 28504 KB Output is correct
49 Correct 17 ms 28620 KB Output is correct
50 Correct 17 ms 28580 KB Output is correct
51 Correct 17 ms 28492 KB Output is correct
52 Correct 17 ms 28620 KB Output is correct
53 Correct 17 ms 28572 KB Output is correct
54 Correct 17 ms 28580 KB Output is correct
55 Correct 15 ms 27816 KB Output is correct
56 Correct 83 ms 51460 KB Output is correct
57 Correct 103 ms 51268 KB Output is correct
58 Correct 17 ms 28544 KB Output is correct
59 Correct 15 ms 27852 KB Output is correct
60 Correct 15 ms 27856 KB Output is correct
61 Correct 102 ms 51152 KB Output is correct
62 Correct 17 ms 28492 KB Output is correct
63 Correct 134 ms 54340 KB Output is correct
64 Correct 102 ms 51252 KB Output is correct
65 Correct 17 ms 28492 KB Output is correct
66 Correct 112 ms 50500 KB Output is correct
67 Correct 17 ms 28500 KB Output is correct
68 Correct 17 ms 28612 KB Output is correct
69 Correct 83 ms 51376 KB Output is correct
70 Correct 17 ms 28668 KB Output is correct
71 Correct 115 ms 51012 KB Output is correct
72 Correct 125 ms 51344 KB Output is correct
73 Correct 15 ms 27852 KB Output is correct
74 Correct 113 ms 54468 KB Output is correct
75 Correct 230 ms 53448 KB Output is correct
76 Correct 17 ms 28640 KB Output is correct
77 Correct 18 ms 28532 KB Output is correct
78 Correct 80 ms 50100 KB Output is correct
79 Correct 83 ms 52056 KB Output is correct
80 Correct 18 ms 28632 KB Output is correct
81 Correct 18 ms 28492 KB Output is correct
82 Correct 15 ms 27844 KB Output is correct
83 Correct 15 ms 27852 KB Output is correct
84 Correct 17 ms 28492 KB Output is correct
85 Correct 196 ms 52344 KB Output is correct
86 Correct 17 ms 28504 KB Output is correct
87 Correct 115 ms 51400 KB Output is correct
88 Correct 15 ms 27820 KB Output is correct
89 Correct 108 ms 50884 KB Output is correct
90 Correct 159 ms 52268 KB Output is correct
91 Correct 99 ms 53608 KB Output is correct
92 Correct 83 ms 51412 KB Output is correct
93 Correct 17 ms 28620 KB Output is correct
94 Correct 16 ms 27916 KB Output is correct
95 Correct 109 ms 53584 KB Output is correct
96 Correct 106 ms 54700 KB Output is correct
97 Correct 17 ms 28492 KB Output is correct
98 Correct 15 ms 27852 KB Output is correct
99 Correct 171 ms 52416 KB Output is correct
100 Correct 18 ms 28496 KB Output is correct
101 Correct 127 ms 51684 KB Output is correct
102 Correct 109 ms 54724 KB Output is correct
103 Correct 17 ms 28620 KB Output is correct
104 Correct 19 ms 28560 KB Output is correct
105 Correct 17 ms 28504 KB Output is correct
106 Correct 17 ms 28508 KB Output is correct
107 Correct 17 ms 28620 KB Output is correct
108 Correct 948 ms 151872 KB Output is correct
109 Correct 908 ms 148352 KB Output is correct
110 Correct 914 ms 155056 KB Output is correct
111 Correct 837 ms 165328 KB Output is correct
112 Correct 846 ms 163600 KB Output is correct
113 Correct 680 ms 157556 KB Output is correct
114 Correct 767 ms 144212 KB Output is correct
115 Correct 740 ms 144168 KB Output is correct
116 Correct 1279 ms 149492 KB Output is correct
117 Correct 741 ms 158152 KB Output is correct
118 Correct 780 ms 145028 KB Output is correct
119 Correct 742 ms 158020 KB Output is correct
120 Correct 796 ms 163904 KB Output is correct
121 Correct 744 ms 158140 KB Output is correct
122 Correct 1197 ms 152424 KB Output is correct
123 Correct 539 ms 159104 KB Output is correct
124 Correct 823 ms 152548 KB Output is correct