oj.uz

Submission #873085

# Submission time Handle Problem Language Result Execution time Memory
873085 2023-11-14T12:30:32 Z andre_stan Race (IOI11_race) C++14
100 / 100
 305 ms 42692 KB 
#include <iostream>
#include <vector>

using namespace std;

const int NMAX = 2e5;
const int INF = 1e9;
const int KMAX = 1e6;

int totalSize;
vector<pair<int, int>> edges[NMAX];
int sz[NMAX];
int centroidParent[NMAX];
bool isIn[NMAX];

int minimumDist[KMAX];
vector<long long> used;
int kk;
int ans;

int dfsCalcSize(int node, int parent) {
    sz[node] = 1;
    for(auto child : edges[node]) {
        if(child.first != parent && isIn[child.first]) {
            sz[node] += dfsCalcSize(child.first, node);
        }
    }
    return sz[node];
}

int dfsDetCentroid(int node, int parent) {
    for(auto child : edges[node]) {
        if(child.first != parent && sz[child.first] > totalSize / 2 && isIn[child.first]) {
            return dfsDetCentroid(child.first, node);
        }
    }
    return node;
}

void computeDist(int node, int parent, int depth, long long sum, int flag) {
    if(sum > kk)
        return;
    used.push_back(sum);
    if(flag == true) {
        ans = min(ans, minimumDist[kk - sum] + depth);
    } else {
        minimumDist[sum] = min(minimumDist[sum], depth);
    }
    for(auto child : edges[node]) {
        if(isIn[child.first] && child.first != parent) {
            computeDist(child.first, node, depth + 1, sum + child.second, flag);
        }
    }
}

void decompose(int root, int parent) {
    totalSize = dfsCalcSize(root, root);
    int centroid = dfsDetCentroid(root, root);
    isIn[centroid] = false;

    minimumDist[0] = 0;
    for(auto child : edges[centroid]) {
        if(isIn[child.first]) {
            computeDist(child.first, centroid, 1, child.second, true);
            computeDist(child.first, centroid, 1, child.second, false);
        }
    }
    for(auto x : used) {
        minimumDist[x] = INF;
    }
    used.clear();

    centroidParent[centroid] = parent;
    for(auto child : edges[centroid]) {
        if(isIn[child.first])
            decompose(child.first, centroid);
    }
}

int best_path(int n, int k, int h[][2], int len[]) {
    for(int i = 0; i < n - 1; i++) {
        edges[h[i][0]].push_back({h[i][1], len[i]});
        edges[h[i][1]].push_back({h[i][0], len[i]});
    }

    kk = k;
    for(int i = 0; i <= k; i++)
        minimumDist[i] = INF;
    for(int i = 0; i < n; i++)
        isIn[i] = true;
    ans = INF;
    decompose(0, -1);
    if(ans == INF)
        ans = -1;
    return ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12376 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 3 ms 12380 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12376 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12380 KB Output is correct
11 Correct 2 ms 12380 KB Output is correct
12 Correct 2 ms 12380 KB Output is correct
13 Correct 4 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 2 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12392 KB Output is correct
18 Correct 2 ms 12296 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12376 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 3 ms 12380 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12376 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12380 KB Output is correct
11 Correct 2 ms 12380 KB Output is correct
12 Correct 2 ms 12380 KB Output is correct
13 Correct 4 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 2 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12392 KB Output is correct
18 Correct 2 ms 12296 KB Output is correct
19 Correct 2 ms 12380 KB Output is correct
20 Correct 3 ms 12392 KB Output is correct
21 Correct 3 ms 12396 KB Output is correct
22 Correct 4 ms 14428 KB Output is correct
23 Correct 4 ms 14260 KB Output is correct
24 Correct 3 ms 14428 KB Output is correct
25 Correct 3 ms 14428 KB Output is correct
26 Correct 3 ms 14500 KB Output is correct
27 Correct 4 ms 14684 KB Output is correct
28 Correct 3 ms 14424 KB Output is correct
29 Correct 3 ms 14428 KB Output is correct
30 Correct 3 ms 14424 KB Output is correct
31 Correct 4 ms 14424 KB Output is correct
32 Correct 3 ms 14424 KB Output is correct
33 Correct 3 ms 14680 KB Output is correct
34 Correct 3 ms 14448 KB Output is correct
35 Correct 3 ms 14428 KB Output is correct
36 Correct 3 ms 14428 KB Output is correct
37 Correct 3 ms 14428 KB Output is correct
38 Correct 3 ms 14424 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12376 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 3 ms 12380 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12376 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12380 KB Output is correct
11 Correct 2 ms 12380 KB Output is correct
12 Correct 2 ms 12380 KB Output is correct
13 Correct 4 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 2 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12392 KB Output is correct
18 Correct 2 ms 12296 KB Output is correct
19 Correct 79 ms 19884 KB Output is correct
20 Correct 88 ms 19612 KB Output is correct
21 Correct 85 ms 20612 KB Output is correct
22 Correct 73 ms 21704 KB Output is correct
23 Correct 53 ms 19960 KB Output is correct
24 Correct 41 ms 19800 KB Output is correct
25 Correct 78 ms 22492 KB Output is correct
26 Correct 74 ms 27340 KB Output is correct
27 Correct 107 ms 25096 KB Output is correct
28 Correct 162 ms 36436 KB Output is correct
29 Correct 159 ms 35416 KB Output is correct
30 Correct 96 ms 25216 KB Output is correct
31 Correct 109 ms 25220 KB Output is correct
32 Correct 138 ms 25076 KB Output is correct
33 Correct 141 ms 23968 KB Output is correct
34 Correct 105 ms 24656 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12376 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 3 ms 12380 KB Output is correct
5 Correct 3 ms 12380 KB Output is correct
6 Correct 3 ms 12376 KB Output is correct
7 Correct 3 ms 12380 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12380 KB Output is correct
11 Correct 2 ms 12380 KB Output is correct
12 Correct 2 ms 12380 KB Output is correct
13 Correct 4 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 2 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12392 KB Output is correct
18 Correct 2 ms 12296 KB Output is correct
19 Correct 2 ms 12380 KB Output is correct
20 Correct 3 ms 12392 KB Output is correct
21 Correct 3 ms 12396 KB Output is correct
22 Correct 4 ms 14428 KB Output is correct
23 Correct 4 ms 14260 KB Output is correct
24 Correct 3 ms 14428 KB Output is correct
25 Correct 3 ms 14428 KB Output is correct
26 Correct 3 ms 14500 KB Output is correct
27 Correct 4 ms 14684 KB Output is correct
28 Correct 3 ms 14424 KB Output is correct
29 Correct 3 ms 14428 KB Output is correct
30 Correct 3 ms 14424 KB Output is correct
31 Correct 4 ms 14424 KB Output is correct
32 Correct 3 ms 14424 KB Output is correct
33 Correct 3 ms 14680 KB Output is correct
34 Correct 3 ms 14448 KB Output is correct
35 Correct 3 ms 14428 KB Output is correct
36 Correct 3 ms 14428 KB Output is correct
37 Correct 3 ms 14428 KB Output is correct
38 Correct 3 ms 14424 KB Output is correct
39 Correct 79 ms 19884 KB Output is correct
40 Correct 88 ms 19612 KB Output is correct
41 Correct 85 ms 20612 KB Output is correct
42 Correct 73 ms 21704 KB Output is correct
43 Correct 53 ms 19960 KB Output is correct
44 Correct 41 ms 19800 KB Output is correct
45 Correct 78 ms 22492 KB Output is correct
46 Correct 74 ms 27340 KB Output is correct
47 Correct 107 ms 25096 KB Output is correct
48 Correct 162 ms 36436 KB Output is correct
49 Correct 159 ms 35416 KB Output is correct
50 Correct 96 ms 25216 KB Output is correct
51 Correct 109 ms 25220 KB Output is correct
52 Correct 138 ms 25076 KB Output is correct
53 Correct 141 ms 23968 KB Output is correct
54 Correct 105 ms 24656 KB Output is correct
55 Correct 8 ms 13148 KB Output is correct
56 Correct 9 ms 13236 KB Output is correct
57 Correct 62 ms 22048 KB Output is correct
58 Correct 30 ms 21748 KB Output is correct
59 Correct 68 ms 29400 KB Output is correct
60 Correct 271 ms 42692 KB Output is correct
61 Correct 140 ms 26308 KB Output is correct
62 Correct 166 ms 32012 KB Output is correct
63 Correct 141 ms 32492 KB Output is correct
64 Correct 305 ms 33472 KB Output is correct
65 Correct 152 ms 25884 KB Output is correct
66 Correct 234 ms 35780 KB Output is correct
67 Correct 99 ms 33568 KB Output is correct
68 Correct 174 ms 30148 KB Output is correct
69 Correct 211 ms 30376 KB Output is correct
70 Correct 125 ms 29640 KB Output is correct