Submission #482894

# Submission time Handle Problem Language Result Execution time Memory
482894 2021-10-26T16:54:06 Z blue Race (IOI11_race) C++17
100 / 100
1715 ms 112592 KB
#include "race.h"
#include <vector>
#include <iostream>
#include <set>
#include <cstdlib>
using namespace std;

const int maxN = 200'000;

int N;
long long K;

vector<int> edge[1+maxN+1];
vector<long long> dist[1+maxN+1];

int ans = maxN;


vector<int> parent(1+maxN+1, maxN);
vector<int> subtree(1+maxN+1, 1);

int curr_size = 0;

vector<int> inaccessible(1+maxN+1, 0);

void dfs(int u, int p, int b)
{
    // cerr << "normal dfs " << u << ' ' << p << ' ' << b << '\n';
    curr_size++;
    parent[u] = p;
    subtree[u] = 1;
    for(int v: edge[u])
    {
        if(inaccessible[v]) continue;
        if(v == p || v == b) continue;
        dfs(v, u, b);
        subtree[u] += subtree[v];
    }
}

int getSize(int u, int v)
{
    if(parent[v] == u) return subtree[v];
    else return curr_size - subtree[u];
}


vector< pair<long long, int> > dist_list[1+maxN+1];

int error_ct = 0;

void dfs2(int u, int p, int r, int b, long long d, int e) //parent, root, banned
{
    // error_ct++;
    // if(error_ct == 100) exit(0);

    // cerr << "dfs2 " << u << ' ' << p << ' ' << r << ' ' << b << ' ' << d << ' ' << e << '\n';
    dist_list[r].push_back(make_pair(d, e));
    for(int z = 0; z < int(edge[u].size()); z++)
    {
        int v = edge[u][z];
        long long w = dist[u][z];

        if(v == p || v == b) continue;
        if(inaccessible[v]) continue;

        dfs2(v, u, r, b, d+w, e+1);
    }
}

multiset< pair<long long, int> > X;

void solve(int u, int p)
{
    // cerr << "\n\n\n\n\n";
    // cerr << "solve " << u << ' ' << p << '\n';
    curr_size = 0;
    dfs(u, p, p);

    int c = u;
    while(1)
    {
        bool flag = 0;
        for(int v: edge[c])
        {
            if(inaccessible[v]) continue;
            if(v == p) continue;
            if(2*getSize(c, v) > curr_size)
            {
                c = v;
                flag = 1;
                break;
            }
        }
        if(!flag) break;
    }
    // cerr << "c = " << c << '\n';


    inaccessible[c]++;
    // cerr << "don't access " << c << '\n';


    X.clear();
    for(int e = 0; e < int(edge[c].size()); e++)
    {
        int v = edge[c][e];
        long long w = dist[c][e];

        if(v == p) continue;

        if(inaccessible[v]) continue;

        dist_list[v].clear();
        dfs2(v, c, v, p, w, 1);
        for(auto x: dist_list[v]) X.insert(x);

        // cerr << c << " -> " << v << ": ";
        // for(auto x: dist_list[v]) cerr << x.first <<","<<x.second << " | ";
        // cerr << '\n';
    }

    auto y1 = X.lower_bound(make_pair(K, -1));
    if(y1 != X.end() && y1->first == K) ans = min(ans, y1->second);

    for(int e = 0; e < int(edge[c].size()); e++)
    {
        int v = edge[c][e];
        long long w = dist[c][e];

        if(v == p) continue;
        if(inaccessible[v]) continue;

        for(auto x: dist_list[v]) X.erase(X.find(x));

        for(auto x: dist_list[v])
        {
            auto y = X.lower_bound(make_pair(K - x.first, -1));
            if(y == X.end()) continue;
            if(y->first + x.first != K) continue;
            ans = min(ans, y->second + x.second);
        }

        for(auto x: dist_list[v]) X.insert(x);
    }





    for(int v: edge[c])
    {
        if(v == p) continue;
        if(inaccessible[v]) continue;
        solve(v, c);
    }
    inaccessible[c]--;
    // cerr << "do access " << c << '\n';
}



int best_path(int N_, int K_, int H_[][2], int L_[])
{
    N = N_;
    K = K_;

    for(int e = 0; e < N-1; e++)
    {
        edge[H_[e][0]].push_back(H_[e][1]);
        dist[H_[e][0]].push_back(L_[e]);

        edge[H_[e][1]].push_back(H_[e][0]);
        dist[H_[e][1]].push_back(L_[e]);
    }

    solve(0, maxN); //solve for paths belonging to centroid subtree of u

    if(ans == maxN) ans = -1;
    return ans;
}

Compilation message

race.cpp: In function 'void solve(int, int)':
race.cpp:129:19: warning: unused variable 'w' [-Wunused-variable]
  129 |         long long w = dist[c][e];
      |                   ^
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 9 ms 16716 KB Output is correct
3 Correct 10 ms 16716 KB Output is correct
4 Correct 9 ms 16684 KB Output is correct
5 Correct 9 ms 16716 KB Output is correct
6 Correct 9 ms 16716 KB Output is correct
7 Correct 9 ms 16748 KB Output is correct
8 Correct 9 ms 16760 KB Output is correct
9 Correct 10 ms 16768 KB Output is correct
10 Correct 11 ms 16744 KB Output is correct
11 Correct 9 ms 16716 KB Output is correct
12 Correct 9 ms 16800 KB Output is correct
13 Correct 9 ms 16760 KB Output is correct
14 Correct 11 ms 16764 KB Output is correct
15 Correct 11 ms 16760 KB Output is correct
16 Correct 10 ms 16716 KB Output is correct
17 Correct 11 ms 16704 KB Output is correct
18 Correct 9 ms 16772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 9 ms 16716 KB Output is correct
3 Correct 10 ms 16716 KB Output is correct
4 Correct 9 ms 16684 KB Output is correct
5 Correct 9 ms 16716 KB Output is correct
6 Correct 9 ms 16716 KB Output is correct
7 Correct 9 ms 16748 KB Output is correct
8 Correct 9 ms 16760 KB Output is correct
9 Correct 10 ms 16768 KB Output is correct
10 Correct 11 ms 16744 KB Output is correct
11 Correct 9 ms 16716 KB Output is correct
12 Correct 9 ms 16800 KB Output is correct
13 Correct 9 ms 16760 KB Output is correct
14 Correct 11 ms 16764 KB Output is correct
15 Correct 11 ms 16760 KB Output is correct
16 Correct 10 ms 16716 KB Output is correct
17 Correct 11 ms 16704 KB Output is correct
18 Correct 9 ms 16772 KB Output is correct
19 Correct 8 ms 16716 KB Output is correct
20 Correct 8 ms 16716 KB Output is correct
21 Correct 11 ms 16844 KB Output is correct
22 Correct 10 ms 16956 KB Output is correct
23 Correct 11 ms 16880 KB Output is correct
24 Correct 14 ms 16892 KB Output is correct
25 Correct 11 ms 16844 KB Output is correct
26 Correct 11 ms 16904 KB Output is correct
27 Correct 11 ms 16844 KB Output is correct
28 Correct 11 ms 16972 KB Output is correct
29 Correct 11 ms 16844 KB Output is correct
30 Correct 11 ms 16844 KB Output is correct
31 Correct 11 ms 16876 KB Output is correct
32 Correct 11 ms 16904 KB Output is correct
33 Correct 14 ms 16948 KB Output is correct
34 Correct 12 ms 16972 KB Output is correct
35 Correct 12 ms 16972 KB Output is correct
36 Correct 11 ms 16896 KB Output is correct
37 Correct 12 ms 16892 KB Output is correct
38 Correct 14 ms 16972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 9 ms 16716 KB Output is correct
3 Correct 10 ms 16716 KB Output is correct
4 Correct 9 ms 16684 KB Output is correct
5 Correct 9 ms 16716 KB Output is correct
6 Correct 9 ms 16716 KB Output is correct
7 Correct 9 ms 16748 KB Output is correct
8 Correct 9 ms 16760 KB Output is correct
9 Correct 10 ms 16768 KB Output is correct
10 Correct 11 ms 16744 KB Output is correct
11 Correct 9 ms 16716 KB Output is correct
12 Correct 9 ms 16800 KB Output is correct
13 Correct 9 ms 16760 KB Output is correct
14 Correct 11 ms 16764 KB Output is correct
15 Correct 11 ms 16760 KB Output is correct
16 Correct 10 ms 16716 KB Output is correct
17 Correct 11 ms 16704 KB Output is correct
18 Correct 9 ms 16772 KB Output is correct
19 Correct 656 ms 45676 KB Output is correct
20 Correct 654 ms 45288 KB Output is correct
21 Correct 635 ms 44984 KB Output is correct
22 Correct 571 ms 41464 KB Output is correct
23 Correct 771 ms 50708 KB Output is correct
24 Correct 394 ms 38212 KB Output is correct
25 Correct 661 ms 60548 KB Output is correct
26 Correct 463 ms 62596 KB Output is correct
27 Correct 704 ms 59892 KB Output is correct
28 Correct 1604 ms 112592 KB Output is correct
29 Correct 1595 ms 112024 KB Output is correct
30 Correct 680 ms 60000 KB Output is correct
31 Correct 733 ms 59924 KB Output is correct
32 Correct 839 ms 59892 KB Output is correct
33 Correct 1232 ms 87108 KB Output is correct
34 Correct 1381 ms 86824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 9 ms 16716 KB Output is correct
3 Correct 10 ms 16716 KB Output is correct
4 Correct 9 ms 16684 KB Output is correct
5 Correct 9 ms 16716 KB Output is correct
6 Correct 9 ms 16716 KB Output is correct
7 Correct 9 ms 16748 KB Output is correct
8 Correct 9 ms 16760 KB Output is correct
9 Correct 10 ms 16768 KB Output is correct
10 Correct 11 ms 16744 KB Output is correct
11 Correct 9 ms 16716 KB Output is correct
12 Correct 9 ms 16800 KB Output is correct
13 Correct 9 ms 16760 KB Output is correct
14 Correct 11 ms 16764 KB Output is correct
15 Correct 11 ms 16760 KB Output is correct
16 Correct 10 ms 16716 KB Output is correct
17 Correct 11 ms 16704 KB Output is correct
18 Correct 9 ms 16772 KB Output is correct
19 Correct 8 ms 16716 KB Output is correct
20 Correct 8 ms 16716 KB Output is correct
21 Correct 11 ms 16844 KB Output is correct
22 Correct 10 ms 16956 KB Output is correct
23 Correct 11 ms 16880 KB Output is correct
24 Correct 14 ms 16892 KB Output is correct
25 Correct 11 ms 16844 KB Output is correct
26 Correct 11 ms 16904 KB Output is correct
27 Correct 11 ms 16844 KB Output is correct
28 Correct 11 ms 16972 KB Output is correct
29 Correct 11 ms 16844 KB Output is correct
30 Correct 11 ms 16844 KB Output is correct
31 Correct 11 ms 16876 KB Output is correct
32 Correct 11 ms 16904 KB Output is correct
33 Correct 14 ms 16948 KB Output is correct
34 Correct 12 ms 16972 KB Output is correct
35 Correct 12 ms 16972 KB Output is correct
36 Correct 11 ms 16896 KB Output is correct
37 Correct 12 ms 16892 KB Output is correct
38 Correct 14 ms 16972 KB Output is correct
39 Correct 656 ms 45676 KB Output is correct
40 Correct 654 ms 45288 KB Output is correct
41 Correct 635 ms 44984 KB Output is correct
42 Correct 571 ms 41464 KB Output is correct
43 Correct 771 ms 50708 KB Output is correct
44 Correct 394 ms 38212 KB Output is correct
45 Correct 661 ms 60548 KB Output is correct
46 Correct 463 ms 62596 KB Output is correct
47 Correct 704 ms 59892 KB Output is correct
48 Correct 1604 ms 112592 KB Output is correct
49 Correct 1595 ms 112024 KB Output is correct
50 Correct 680 ms 60000 KB Output is correct
51 Correct 733 ms 59924 KB Output is correct
52 Correct 839 ms 59892 KB Output is correct
53 Correct 1232 ms 87108 KB Output is correct
54 Correct 1381 ms 86824 KB Output is correct
55 Correct 47 ms 18880 KB Output is correct
56 Correct 47 ms 19112 KB Output is correct
57 Correct 616 ms 50548 KB Output is correct
58 Correct 163 ms 35916 KB Output is correct
59 Correct 531 ms 62776 KB Output is correct
60 Correct 1614 ms 112136 KB Output is correct
61 Correct 699 ms 60100 KB Output is correct
62 Correct 658 ms 59816 KB Output is correct
63 Correct 818 ms 59884 KB Output is correct
64 Correct 1547 ms 77840 KB Output is correct
65 Correct 1499 ms 68500 KB Output is correct
66 Correct 1715 ms 108928 KB Output is correct
67 Correct 511 ms 55976 KB Output is correct
68 Correct 850 ms 58548 KB Output is correct
69 Correct 837 ms 58548 KB Output is correct
70 Correct 851 ms 56216 KB Output is correct