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답안 #409560

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
409560 2021-05-21T05:12:16 Z 600Mihnea 경주 (Race) (IOI11_race) C++17
100 / 100
 1037 ms 61288 KB 
#include <bits/stdc++.h>
#include "race.h"

using namespace std;

typedef long long ll;
const int N = 200000 + 7;
int n, k, best, sz[N], total;
ll dist[N];
bool vis[N];
vector<pair<int, int>> g[N];

void build(int a, int p = -1) {
  sz[a] = 1;
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (b != p && !vis[b]) {
      build(b, a);
      sz[a] += sz[b];
    }
  }
}

int fcen(int a, int p = -1) {
  int mx = total - sz[a];
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (b != p && !vis[b]) {
      mx = max(mx, sz[b]);
    }
  }
  if (mx <= total / 2) {
    return a;
  }
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (b != p && !vis[b] && mx == sz[b]) {
      return fcen(b, a);
    }
  }
  assert(0);
}

vector<pair<ll, int>> dists;

void dfs(int a, int p, int step) {
  dists.push_back({dist[a], step});
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (b != p && !vis[b]) {
      dist[b] = dist[a] + cost;
      dfs(b, a, step + 1);
    }
  }
}

void solve(int a) {
  build(a);
  total = sz[a];
  a = fcen(a);
  vis[a] = 1;
  map<ll, int> mn;
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (!vis[b]) {
      dists.clear();
      dist[b] = cost;
      dfs(b, a, 1);
      for (auto &val : dists) {
        int other = k - val.first;
        if (val.first == k) {
          best = min(best, val.second);
        }
        if (mn.count(other)) {
          best = min(best, mn[other] + val.second);
        }
      }
      for (auto &val : dists) {
        if (!mn.count(val.first)) {
          mn[val.first] = val.second;
        } else {
          mn[val.first] = min(mn[val.first], val.second);
        }
      }
    }
  }
  for (auto &edge : g[a]) {
    int b = edge.first, cost = edge.second;
    if (!vis[b]) {
      solve(b);
    }
  }
}

int best_path(int nodes, int target, int edges[][2], int len_edges[]) {
  best = N;
  n = nodes;
  k = target;
  for (int i = 0; i < n; i++) {
    vis[i] = 0;
    g[i].clear();
  }
  for (int i = 0; i < n - 1; i++) {
    g[edges[i][0]].push_back({edges[i][1], len_edges[i]});
    g[edges[i][1]].push_back({edges[i][0], len_edges[i]});
  }
  solve(0);
  if (best == N) {
    best = -1;
  }
  return best;
}

Compilation message

race.cpp: In function 'void build(int, int)':
race.cpp:16:25: warning: unused variable 'cost' [-Wunused-variable]
   16 |     int b = edge.first, cost = edge.second;
      |                         ^~~~
race.cpp: In function 'int fcen(int, int)':
race.cpp:27:25: warning: unused variable 'cost' [-Wunused-variable]
   27 |     int b = edge.first, cost = edge.second;
      |                         ^~~~
race.cpp:36:25: warning: unused variable 'cost' [-Wunused-variable]
   36 |     int b = edge.first, cost = edge.second;
      |                         ^~~~
race.cpp: In function 'void solve(int)':
race.cpp:88:25: warning: unused variable 'cost' [-Wunused-variable]
   88 |     int b = edge.first, cost = edge.second;
      |                         ^~~~

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5008 KB Output is correct
5 Correct 3 ms 5012 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 4 ms 5012 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 3 ms 4980 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 5008 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5008 KB Output is correct
5 Correct 3 ms 5012 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 4 ms 5012 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 3 ms 4980 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 5008 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 5 ms 5068 KB Output is correct
22 Correct 5 ms 5152 KB Output is correct
23 Correct 5 ms 5196 KB Output is correct
24 Correct 5 ms 5196 KB Output is correct
25 Correct 5 ms 5152 KB Output is correct
26 Correct 5 ms 5196 KB Output is correct
27 Correct 5 ms 5024 KB Output is correct
28 Correct 5 ms 5152 KB Output is correct
29 Correct 6 ms 5196 KB Output is correct
30 Correct 5 ms 5148 KB Output is correct
31 Correct 5 ms 5196 KB Output is correct
32 Correct 5 ms 5196 KB Output is correct
33 Correct 5 ms 5196 KB Output is correct
34 Correct 5 ms 5196 KB Output is correct
35 Correct 5 ms 5196 KB Output is correct
36 Correct 5 ms 5196 KB Output is correct
37 Correct 5 ms 5196 KB Output is correct
38 Correct 5 ms 5196 KB Output is correct

Subtask #3
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5008 KB Output is correct
5 Correct 3 ms 5012 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 4 ms 5012 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 3 ms 4980 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 5008 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 261 ms 13632 KB Output is correct
20 Correct 253 ms 13588 KB Output is correct
21 Correct 234 ms 13632 KB Output is correct
22 Correct 256 ms 13696 KB Output is correct
23 Correct 319 ms 13888 KB Output is correct
24 Correct 149 ms 13328 KB Output is correct
25 Correct 236 ms 18112 KB Output is correct
26 Correct 122 ms 20620 KB Output is correct
27 Correct 322 ms 20676 KB Output is correct
28 Correct 966 ms 61288 KB Output is correct
29 Correct 1010 ms 60104 KB Output is correct
30 Correct 324 ms 20644 KB Output is correct
31 Correct 322 ms 20644 KB Output is correct
32 Correct 396 ms 20868 KB Output is correct
33 Correct 556 ms 21320 KB Output is correct
34 Correct 909 ms 43316 KB Output is correct

Subtask #4
57.0 / 57.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 4 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5008 KB Output is correct
5 Correct 3 ms 5012 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 4 ms 5012 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 4 ms 4940 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 3 ms 4980 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 5008 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 4 ms 4940 KB Output is correct
18 Correct 4 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 5 ms 5068 KB Output is correct
22 Correct 5 ms 5152 KB Output is correct
23 Correct 5 ms 5196 KB Output is correct
24 Correct 5 ms 5196 KB Output is correct
25 Correct 5 ms 5152 KB Output is correct
26 Correct 5 ms 5196 KB Output is correct
27 Correct 5 ms 5024 KB Output is correct
28 Correct 5 ms 5152 KB Output is correct
29 Correct 6 ms 5196 KB Output is correct
30 Correct 5 ms 5148 KB Output is correct
31 Correct 5 ms 5196 KB Output is correct
32 Correct 5 ms 5196 KB Output is correct
33 Correct 5 ms 5196 KB Output is correct
34 Correct 5 ms 5196 KB Output is correct
35 Correct 5 ms 5196 KB Output is correct
36 Correct 5 ms 5196 KB Output is correct
37 Correct 5 ms 5196 KB Output is correct
38 Correct 5 ms 5196 KB Output is correct
39 Correct 261 ms 13632 KB Output is correct
40 Correct 253 ms 13588 KB Output is correct
41 Correct 234 ms 13632 KB Output is correct
42 Correct 256 ms 13696 KB Output is correct
43 Correct 319 ms 13888 KB Output is correct
44 Correct 149 ms 13328 KB Output is correct
45 Correct 236 ms 18112 KB Output is correct
46 Correct 122 ms 20620 KB Output is correct
47 Correct 322 ms 20676 KB Output is correct
48 Correct 966 ms 61288 KB Output is correct
49 Correct 1010 ms 60104 KB Output is correct
50 Correct 324 ms 20644 KB Output is correct
51 Correct 322 ms 20644 KB Output is correct
52 Correct 396 ms 20868 KB Output is correct
53 Correct 556 ms 21320 KB Output is correct
54 Correct 909 ms 43316 KB Output is correct
55 Correct 25 ms 6560 KB Output is correct
56 Correct 17 ms 5964 KB Output is correct
57 Correct 150 ms 13272 KB Output is correct
58 Correct 52 ms 12356 KB Output is correct
59 Correct 336 ms 29952 KB Output is correct
60 Correct 1037 ms 58484 KB Output is correct
61 Correct 363 ms 22468 KB Output is correct
62 Correct 353 ms 20628 KB Output is correct
63 Correct 385 ms 20676 KB Output is correct
64 Correct 1006 ms 36864 KB Output is correct
65 Correct 891 ms 44596 KB Output is correct
66 Correct 1006 ms 57724 KB Output is correct
67 Correct 157 ms 21128 KB Output is correct
68 Correct 527 ms 38336 KB Output is correct
69 Correct 537 ms 39128 KB Output is correct
70 Correct 507 ms 37112 KB Output is correct