oj.uz

Submission #704750

# Submission time Handle Problem Language Result Execution time Memory
704750 2023-03-03T00:05:18 Z thimote75 Race (IOI11_race) C++14
100 / 100
 1167 ms 64672 KB 
#include "race.h"
#include <bits/stdc++.h>

using namespace std;

#define num long long
#define di pair<int, num>
#define sdi set<di>
#define graph vector<sdi>
#define idata vector<int>

#define INF 1e18

graph roads;

int nbNodes, pathLength;

struct MMap {
    map<num, num> m;

    bool has (num depth) {
        return m.find(depth) != m.end();
    }
    num get (num depth) {
        return (*(m.find(depth))).second;
    }
    void set (num depth, num value) {
        if (has(depth)) {
            value = min(value, get(depth));
            m.erase(depth);
        }

        m.insert({ depth, value });
    }
    void clear () {
        m.clear();
    }
    void show () {
        for (auto u : m)
            printf("%lld:%lld ", u.first, u.second);
        cout << endl;
    }
};

struct CDecompose {
    num answer = 1e18;
    idata subtree;

    MMap min_map;

    void init () {
        subtree.resize(nbNodes);

        build (0, -1);
    }
    void build (int node, int parent) {
        int compSize = w_dfs(node, parent);
        int centroid = c_dfs(node, parent, compSize >> 1);

        min_map.set(0, 0);

        for (di next : roads[centroid]) {
            comp(next.first, centroid, next.second, 1);
            fill(next.first, centroid, next.second, 1);
        }

        min_map.clear();

        while (roads[centroid].size() != 0) {
            di err = *roads[centroid].begin();   

            roads[centroid ].erase(err);
            roads[err.first].erase({ centroid, err.second });

            build (err.first, -1);
        }
    }

    int w_dfs (int node, int parent) {
        subtree[node] = 1;

        for (di next : roads[node]) {
            if (next.first == parent) continue ;
            subtree[node] += w_dfs(next.first, node);
        }

        return subtree[node];
    }
    int c_dfs (int node, int parent, int desired) {
        for (di next : roads[node])
            if (next.first != parent && desired <= subtree[next.first])
                return c_dfs(next.first, node, desired);
        return node;
    }

    void comp (int node, int parent, num length, int depth) {
        if (length > pathLength) return ;
        if (depth  > answer)     return ;

        if (min_map.has(pathLength - length)) {
            answer = min(
                answer,
                min_map.get(pathLength - length) + depth
            );
        }

        for (di next : roads[node]) {
            if (next.first == parent) continue ;
            comp(next.first, node, length + next.second, depth + 1);
        }
    }
    void fill (int node, int parent, num length, int depth) {
        if (length > pathLength) return ;
        if (depth  > answer)     return ;

        min_map.set(length, depth);

        for (di next : roads[node]) {
            if (next.first == parent) continue ;
            fill(next.first, node, length + next.second, depth + 1);
        }
    }
};

int best_path(int N, int K, int H[][2], int L[])
{
    nbNodes    = N;
    pathLength = K;
    roads.resize(nbNodes);

    for (int idRoad = 0; idRoad + 1 < nbNodes; idRoad ++) {
        int a, b; num l;
        a = H[idRoad][0];
        b = H[idRoad][1];
        l = L[idRoad];

        roads[a].insert({ b, l });
        roads[b].insert({ a, l });
    }

    CDecompose dec;
    dec.init();

    return dec.answer == INF ? -1 : dec.answer;
}

/*int main () {
    int N, K;
    cin >> N >> K;
    int H[N][2];
    int L[N];
    for (int i = 0; i + 1 < N; i++)
        cin >> H[i][0] >> H[i][1] >> L[i];
    printf("%d", best_path(N, K, H, L));
}*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 308 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 308 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 308 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 308 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 312 KB Output is correct
20 Correct 1 ms 304 KB Output is correct
21 Correct 2 ms 440 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 3 ms 468 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 576 KB Output is correct
32 Correct 2 ms 580 KB Output is correct
33 Correct 2 ms 580 KB Output is correct
34 Correct 2 ms 448 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 468 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 2 ms 468 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 308 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 308 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 270 ms 20452 KB Output is correct
20 Correct 281 ms 20456 KB Output is correct
21 Correct 286 ms 20480 KB Output is correct
22 Correct 346 ms 20496 KB Output is correct
23 Correct 123 ms 20412 KB Output is correct
24 Correct 118 ms 20532 KB Output is correct
25 Correct 264 ms 22644 KB Output is correct
26 Correct 198 ms 26640 KB Output is correct
27 Correct 326 ms 40716 KB Output is correct
28 Correct 402 ms 49164 KB Output is correct
29 Correct 415 ms 48672 KB Output is correct
30 Correct 324 ms 40504 KB Output is correct
31 Correct 342 ms 40568 KB Output is correct
32 Correct 363 ms 40636 KB Output is correct
33 Correct 511 ms 40680 KB Output is correct
34 Correct 281 ms 41496 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 308 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 308 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 308 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 308 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 312 KB Output is correct
20 Correct 1 ms 304 KB Output is correct
21 Correct 2 ms 440 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 3 ms 468 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 576 KB Output is correct
32 Correct 2 ms 580 KB Output is correct
33 Correct 2 ms 580 KB Output is correct
34 Correct 2 ms 448 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 2 ms 468 KB Output is correct
37 Correct 2 ms 468 KB Output is correct
38 Correct 2 ms 468 KB Output is correct
39 Correct 270 ms 20452 KB Output is correct
40 Correct 281 ms 20456 KB Output is correct
41 Correct 286 ms 20480 KB Output is correct
42 Correct 346 ms 20496 KB Output is correct
43 Correct 123 ms 20412 KB Output is correct
44 Correct 118 ms 20532 KB Output is correct
45 Correct 264 ms 22644 KB Output is correct
46 Correct 198 ms 26640 KB Output is correct
47 Correct 326 ms 40716 KB Output is correct
48 Correct 402 ms 49164 KB Output is correct
49 Correct 415 ms 48672 KB Output is correct
50 Correct 324 ms 40504 KB Output is correct
51 Correct 342 ms 40568 KB Output is correct
52 Correct 363 ms 40636 KB Output is correct
53 Correct 511 ms 40680 KB Output is correct
54 Correct 281 ms 41496 KB Output is correct
55 Correct 20 ms 2388 KB Output is correct
56 Correct 23 ms 2232 KB Output is correct
57 Correct 265 ms 20432 KB Output is correct
58 Correct 104 ms 20060 KB Output is correct
59 Correct 348 ms 31308 KB Output is correct
60 Correct 1167 ms 64672 KB Output is correct
61 Correct 378 ms 41072 KB Output is correct
62 Correct 473 ms 40908 KB Output is correct
63 Correct 517 ms 40784 KB Output is correct
64 Correct 1145 ms 47432 KB Output is correct
65 Correct 331 ms 41824 KB Output is correct
66 Correct 724 ms 47716 KB Output is correct
67 Correct 346 ms 41352 KB Output is correct
68 Correct 402 ms 44892 KB Output is correct
69 Correct 361 ms 41832 KB Output is correct
70 Correct 328 ms 38916 KB Output is correct