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답안 #762079

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
762079 2023-06-20T18:07:29 Z gun_gan 경주 (Race) (IOI11_race) C++17
100 / 100
 304 ms 67424 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int MX = 2e5 + 5;

vector<pair<ll, ll>> g[MX];

int par[MX];
set<pair<ll, ll>> st[MX]; // (total length, num of edge)

ll sum[MX], dep[MX];

int find(int v) {
      return par[v] == v ? v : par[v] = find(par[v]);
}

ll N, K;
ll res = 1e9;

void merge(int u, int v) {
      int tu = u, tv = v;
      u = find(u), v = find(v);

      if(st[u].size() > st[v].size()) {
            swap(u, v);
      }

      par[u] = v;
      for(auto [len, e] : st[u]) {
            // calc answer
            ll k = K - len + 2 * sum[tv];
            auto cur = st[v].lower_bound({k, 0});
            if(cur != st[v].end() && cur->first == k) {
                  res = min(res, e + cur->second - 2 * dep[tv]);
            }
      }

      for(auto [len, e] : st[u]) {
            st[v].insert({len, e});
      }

      st[u].clear();
}

void dfs(int v, int p) {
      for(auto [u, w] : g[v]) {
            if(u == p) continue;
            dep[u] = dep[v] + 1;
            sum[u] = sum[v] + w;
            dfs(u, v);
            merge(u, v);
      }

      find(v);
      // straight line
      auto it = st[par[v]].lower_bound({K + sum[v], 0});
      if(it != st[par[v]].end() && it->first == K + sum[v]) {
            res = min(res, it->second - dep[v]);
      }

      // add path
      st[par[v]].insert({sum[v], dep[v]});
}

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

      for(int i = 0; i < N; i++) par[i] = i;

      dfs(0, -1);

      if(res == 1e9) res = -1;
      return res;
}

// int h[MX][2], w[MX];

// int main() {
//       ios_base::sync_with_stdio(0); cin.tie(0);

//       // h[0][0] = 0; h[0][1] = 1;
//       // h[1][0] = 1; h[1][1] = 2;
//       // h[2][0] = 1; h[2][1] = 3;

//       // w[0] = 1;
//       // w[1] = 2;
//       // w[2] = 4;

//       // h[0][0] = 0, h[0][1] = 1;
//       // h[1][0] = 1, h[1][1] = 2;
//       // w[0] = 1;
//       // w[1] = 1;

//       cin >> N >> K;
//       for(int i = 0; i < N - 1; i++) {
//             cin >> h[i][0] >> h[i][1] >> w[i];
//       }
//       // for(int i = 0; i < N - 1; i++) cin >> w[i];

//       cout << best_path(N, K, h, w) << '\n';
// }

Compilation message

race.cpp: In function 'void merge(int, int)':
race.cpp:22:11: warning: unused variable 'tu' [-Wunused-variable]
   22 |       int tu = u, tv = v;
      |           ^~

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14400 KB Output is correct
3 Correct 7 ms 14336 KB Output is correct
4 Correct 7 ms 14372 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14444 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 7 ms 14360 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14424 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 10 ms 14416 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 7 ms 14420 KB Output is correct
17 Correct 9 ms 14452 KB Output is correct
18 Correct 9 ms 14420 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14400 KB Output is correct
3 Correct 7 ms 14336 KB Output is correct
4 Correct 7 ms 14372 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14444 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 7 ms 14360 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14424 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 10 ms 14416 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 7 ms 14420 KB Output is correct
17 Correct 9 ms 14452 KB Output is correct
18 Correct 9 ms 14420 KB Output is correct
19 Correct 6 ms 14420 KB Output is correct
20 Correct 6 ms 14364 KB Output is correct
21 Correct 8 ms 14548 KB Output is correct
22 Correct 8 ms 14548 KB Output is correct
23 Correct 8 ms 14548 KB Output is correct
24 Correct 8 ms 14548 KB Output is correct
25 Correct 8 ms 14548 KB Output is correct
26 Correct 10 ms 14556 KB Output is correct
27 Correct 8 ms 14420 KB Output is correct
28 Correct 8 ms 14548 KB Output is correct
29 Correct 7 ms 14568 KB Output is correct
30 Correct 8 ms 14536 KB Output is correct
31 Correct 7 ms 14456 KB Output is correct
32 Correct 9 ms 14548 KB Output is correct
33 Correct 9 ms 14568 KB Output is correct
34 Correct 9 ms 14488 KB Output is correct
35 Correct 7 ms 14496 KB Output is correct
36 Correct 7 ms 14548 KB Output is correct
37 Correct 8 ms 14548 KB Output is correct
38 Correct 8 ms 14548 KB Output is correct

Subtask #3
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14400 KB Output is correct
3 Correct 7 ms 14336 KB Output is correct
4 Correct 7 ms 14372 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14444 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 7 ms 14360 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14424 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 10 ms 14416 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 7 ms 14420 KB Output is correct
17 Correct 9 ms 14452 KB Output is correct
18 Correct 9 ms 14420 KB Output is correct
19 Correct 88 ms 23108 KB Output is correct
20 Correct 106 ms 23224 KB Output is correct
21 Correct 100 ms 23004 KB Output is correct
22 Correct 95 ms 22812 KB Output is correct
23 Correct 112 ms 23760 KB Output is correct
24 Correct 97 ms 22396 KB Output is correct
25 Correct 114 ms 38552 KB Output is correct
26 Correct 61 ms 40704 KB Output is correct
27 Correct 143 ms 37588 KB Output is correct
28 Correct 172 ms 67424 KB Output is correct
29 Correct 180 ms 66848 KB Output is correct
30 Correct 143 ms 37660 KB Output is correct
31 Correct 143 ms 37516 KB Output is correct
32 Correct 172 ms 37572 KB Output is correct
33 Correct 143 ms 33628 KB Output is correct
34 Correct 248 ms 47220 KB Output is correct

Subtask #4
57.0 / 57.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 10 ms 14400 KB Output is correct
3 Correct 7 ms 14336 KB Output is correct
4 Correct 7 ms 14372 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14444 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 7 ms 14360 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14424 KB Output is correct
13 Correct 7 ms 14420 KB Output is correct
14 Correct 10 ms 14416 KB Output is correct
15 Correct 9 ms 14420 KB Output is correct
16 Correct 7 ms 14420 KB Output is correct
17 Correct 9 ms 14452 KB Output is correct
18 Correct 9 ms 14420 KB Output is correct
19 Correct 6 ms 14420 KB Output is correct
20 Correct 6 ms 14364 KB Output is correct
21 Correct 8 ms 14548 KB Output is correct
22 Correct 8 ms 14548 KB Output is correct
23 Correct 8 ms 14548 KB Output is correct
24 Correct 8 ms 14548 KB Output is correct
25 Correct 8 ms 14548 KB Output is correct
26 Correct 10 ms 14556 KB Output is correct
27 Correct 8 ms 14420 KB Output is correct
28 Correct 8 ms 14548 KB Output is correct
29 Correct 7 ms 14568 KB Output is correct
30 Correct 8 ms 14536 KB Output is correct
31 Correct 7 ms 14456 KB Output is correct
32 Correct 9 ms 14548 KB Output is correct
33 Correct 9 ms 14568 KB Output is correct
34 Correct 9 ms 14488 KB Output is correct
35 Correct 7 ms 14496 KB Output is correct
36 Correct 7 ms 14548 KB Output is correct
37 Correct 8 ms 14548 KB Output is correct
38 Correct 8 ms 14548 KB Output is correct
39 Correct 88 ms 23108 KB Output is correct
40 Correct 106 ms 23224 KB Output is correct
41 Correct 100 ms 23004 KB Output is correct
42 Correct 95 ms 22812 KB Output is correct
43 Correct 112 ms 23760 KB Output is correct
44 Correct 97 ms 22396 KB Output is correct
45 Correct 114 ms 38552 KB Output is correct
46 Correct 61 ms 40704 KB Output is correct
47 Correct 143 ms 37588 KB Output is correct
48 Correct 172 ms 67424 KB Output is correct
49 Correct 180 ms 66848 KB Output is correct
50 Correct 143 ms 37660 KB Output is correct
51 Correct 143 ms 37516 KB Output is correct
52 Correct 172 ms 37572 KB Output is correct
53 Correct 143 ms 33628 KB Output is correct
54 Correct 248 ms 47220 KB Output is correct
55 Correct 16 ms 15952 KB Output is correct
56 Correct 12 ms 15316 KB Output is correct
57 Correct 49 ms 24392 KB Output is correct
58 Correct 40 ms 23228 KB Output is correct
59 Correct 58 ms 40728 KB Output is correct
60 Correct 165 ms 66892 KB Output is correct
61 Correct 156 ms 41672 KB Output is correct
62 Correct 138 ms 37708 KB Output is correct
63 Correct 184 ms 37732 KB Output is correct
64 Correct 304 ms 46268 KB Output is correct
65 Correct 291 ms 47528 KB Output is correct
66 Correct 186 ms 65356 KB Output is correct
67 Correct 121 ms 33484 KB Output is correct
68 Correct 237 ms 46668 KB Output is correct
69 Correct 252 ms 51580 KB Output is correct
70 Correct 211 ms 45140 KB Output is correct