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Submission #766560

# Submission time Handle Problem Language Result Execution time Memory
766560 2023-06-25T21:36:14 Z caganyanmaz Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 463 ms 105092 KB 
#include <bits/stdc++.h>
#define int int64_t
#define pb push_back
using namespace std;
//#define DEBUGGING
#ifdef DEBUGGING
#define debug(x) cout << (#x) << ": " << (x) << endl;
#else
#define debug(x)
#endif


struct Node
{
        int head, tail, size, nxt, move_sum, max_node;
        Node(int index) : head(index), tail(index), size(1), nxt(-1), move_sum(0), max_node(-1) {}
        Node() : Node(-1) {}
};

constexpr static int MXSIZE = 5e5;
constexpr static int MXLOG = 30;
int v[MXSIZE];
array<int,2> sv[MXSIZE];
vector<int> g[MXSIZE];
int bl[MXSIZE][MXLOG];
int depth[MXSIZE];
Node node[MXSIZE];

void dfs(int node, int parent, int d);
void process_bl(int n);
int advance(int node, int steps);
int find_lca(int a, int b);
int get_dist(int a, int b);
void merge(int a, int b);

int32_t main()
{
        int n;
        cin >> n;
        for (int i = 0; i < n; i++) cin >> v[i];
        for (int i = 0; i < n-1; i++)
        {
                int a, b;
                cin >> a >> b;
                a--,b--;
                g[a].pb(b);
                g[b].pb(a);
        }
        dfs(0, 0, 0);
        process_bl(n);
        for (int i = 0; i < n; i++)
                node[i] = Node(i);
        for (int i = 0; i < n; i++)
                sv[i][0] = v[i], sv[i][1] = i;
        sort(sv, sv + n);
        for (int j = 0; j < n; j++)
        {
                int i = sv[j][1];
                int best_sum = 0;
                for (int c : g[i])
                {
                        if (v[i] > v[c])
                        {
                                best_sum = max(best_sum, node[node[c].head].move_sum + get_dist(node[node[c].head].max_node, i));
                                merge(node[i].head, node[c].head);
                        }
                }
                debug(i);
                debug(node[i].head);
                debug(best_sum);
                node[node[i].head].move_sum = best_sum;
                node[node[i].head].max_node = i;
        }
        cout << node[node[0].head].move_sum << "\n";
}

void dfs(int node, int parent, int d)
{
        bl[node][0] = parent;
        depth[node] = d;
        for (int c : g[node])
                if (c != parent)
                        dfs(c, node, d+1);
}

void process_bl(int n)
{
        for (int i = 1; i < MXLOG; i++)
                for (int j = 0; j < n; j++)
                        bl[j][i] = bl[bl[j][i-1]][i-1];
}

int advance(int node, int steps)
{
        for (int i = 0; i < MXLOG; i++)
                if (steps&(1<<i))
                        node = bl[node][i];
        return node;
}

int find_lca(int a, int b)
{
        if (depth[a] > depth[b]) swap(a, b);
        b = advance(b, depth[b]-depth[a]);
        if (a == b) return a;
        for (int i = MXLOG-1; i >= 0; i--)
                if (bl[a][i] != bl[b][i])
                        a = bl[a][i], b = bl[b][i];
        return bl[a][0];
}

int get_dist(int a, int b)
{
        return depth[a] + depth[b] - depth[find_lca(a, b)] * 2;
}

void merge(int a, int b)
{
        if (node[b].size > node[a].size) swap(a, b);
        node[a].size += node[b].size;
        node[node[a].tail].nxt = node[b].head;
        node[a].tail = node[b].tail;
        while (b != -1)
        {
                node[b].head = a;
                b = node[b].nxt;
        }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct
11 Correct 14 ms 35560 KB Output is correct
12 Correct 14 ms 35632 KB Output is correct
13 Correct 17 ms 35600 KB Output is correct
14 Correct 18 ms 35572 KB Output is correct
15 Correct 16 ms 35612 KB Output is correct
16 Correct 16 ms 35648 KB Output is correct
17 Correct 19 ms 35536 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct
11 Correct 14 ms 35560 KB Output is correct
12 Correct 14 ms 35632 KB Output is correct
13 Correct 17 ms 35600 KB Output is correct
14 Correct 18 ms 35572 KB Output is correct
15 Correct 16 ms 35612 KB Output is correct
16 Correct 16 ms 35648 KB Output is correct
17 Correct 19 ms 35536 KB Output is correct
18 Correct 22 ms 37076 KB Output is correct
19 Correct 24 ms 37128 KB Output is correct
20 Correct 24 ms 37152 KB Output is correct
21 Correct 19 ms 37100 KB Output is correct
22 Correct 19 ms 37100 KB Output is correct
23 Correct 18 ms 37076 KB Output is correct
24 Correct 20 ms 37076 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct
11 Correct 14 ms 35560 KB Output is correct
12 Correct 14 ms 35632 KB Output is correct
13 Correct 17 ms 35600 KB Output is correct
14 Correct 18 ms 35572 KB Output is correct
15 Correct 16 ms 35612 KB Output is correct
16 Correct 16 ms 35648 KB Output is correct
17 Correct 19 ms 35536 KB Output is correct
18 Correct 22 ms 37076 KB Output is correct
19 Correct 24 ms 37128 KB Output is correct
20 Correct 24 ms 37152 KB Output is correct
21 Correct 19 ms 37100 KB Output is correct
22 Correct 19 ms 37100 KB Output is correct
23 Correct 18 ms 37076 KB Output is correct
24 Correct 20 ms 37076 KB Output is correct
25 Correct 14 ms 35452 KB Output is correct
26 Correct 19 ms 37120 KB Output is correct
27 Correct 23 ms 37076 KB Output is correct
28 Correct 21 ms 37044 KB Output is correct
29 Correct 20 ms 37164 KB Output is correct
30 Correct 21 ms 36948 KB Output is correct
31 Correct 20 ms 37016 KB Output is correct
32 Correct 20 ms 37020 KB Output is correct
33 Correct 19 ms 37028 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct
11 Correct 14 ms 35560 KB Output is correct
12 Correct 14 ms 35632 KB Output is correct
13 Correct 17 ms 35600 KB Output is correct
14 Correct 18 ms 35572 KB Output is correct
15 Correct 16 ms 35612 KB Output is correct
16 Correct 16 ms 35648 KB Output is correct
17 Correct 19 ms 35536 KB Output is correct
18 Correct 22 ms 37076 KB Output is correct
19 Correct 24 ms 37128 KB Output is correct
20 Correct 24 ms 37152 KB Output is correct
21 Correct 19 ms 37100 KB Output is correct
22 Correct 19 ms 37100 KB Output is correct
23 Correct 18 ms 37076 KB Output is correct
24 Correct 20 ms 37076 KB Output is correct
25 Correct 262 ms 101220 KB Output is correct
26 Correct 269 ms 105092 KB Output is correct
27 Correct 253 ms 105016 KB Output is correct
28 Correct 314 ms 105020 KB Output is correct
29 Correct 309 ms 104808 KB Output is correct
30 Correct 369 ms 104840 KB Output is correct
31 Correct 329 ms 105064 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35444 KB Output is correct
2 Correct 16 ms 35580 KB Output is correct
3 Correct 338 ms 96596 KB Output is correct
4 Correct 346 ms 96592 KB Output is correct
5 Correct 399 ms 96592 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35440 KB Output is correct
2 Correct 17 ms 35492 KB Output is correct
3 Correct 15 ms 35556 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35520 KB Output is correct
6 Correct 17 ms 35536 KB Output is correct
7 Correct 15 ms 35536 KB Output is correct
8 Correct 15 ms 35548 KB Output is correct
9 Correct 18 ms 35540 KB Output is correct
10 Correct 15 ms 35512 KB Output is correct
11 Correct 14 ms 35560 KB Output is correct
12 Correct 14 ms 35632 KB Output is correct
13 Correct 17 ms 35600 KB Output is correct
14 Correct 18 ms 35572 KB Output is correct
15 Correct 16 ms 35612 KB Output is correct
16 Correct 16 ms 35648 KB Output is correct
17 Correct 19 ms 35536 KB Output is correct
18 Correct 22 ms 37076 KB Output is correct
19 Correct 24 ms 37128 KB Output is correct
20 Correct 24 ms 37152 KB Output is correct
21 Correct 19 ms 37100 KB Output is correct
22 Correct 19 ms 37100 KB Output is correct
23 Correct 18 ms 37076 KB Output is correct
24 Correct 20 ms 37076 KB Output is correct
25 Correct 14 ms 35452 KB Output is correct
26 Correct 19 ms 37120 KB Output is correct
27 Correct 23 ms 37076 KB Output is correct
28 Correct 21 ms 37044 KB Output is correct
29 Correct 20 ms 37164 KB Output is correct
30 Correct 21 ms 36948 KB Output is correct
31 Correct 20 ms 37016 KB Output is correct
32 Correct 20 ms 37020 KB Output is correct
33 Correct 19 ms 37028 KB Output is correct
34 Correct 262 ms 101220 KB Output is correct
35 Correct 269 ms 105092 KB Output is correct
36 Correct 253 ms 105016 KB Output is correct
37 Correct 314 ms 105020 KB Output is correct
38 Correct 309 ms 104808 KB Output is correct
39 Correct 369 ms 104840 KB Output is correct
40 Correct 329 ms 105064 KB Output is correct
41 Correct 19 ms 35444 KB Output is correct
42 Correct 16 ms 35580 KB Output is correct
43 Correct 338 ms 96596 KB Output is correct
44 Correct 346 ms 96592 KB Output is correct
45 Correct 399 ms 96592 KB Output is correct
46 Correct 432 ms 102752 KB Output is correct
47 Correct 421 ms 102204 KB Output is correct
48 Correct 371 ms 102936 KB Output is correct
49 Correct 398 ms 102216 KB Output is correct
50 Correct 450 ms 99792 KB Output is correct
51 Correct 434 ms 99756 KB Output is correct
52 Correct 463 ms 99788 KB Output is correct
53 Correct 452 ms 99748 KB Output is correct