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Submission #668381

# Submission time Handle Problem Language Result Execution time Memory
668381 2022-12-03T18:04:50 Z 600Mihnea City Mapping (NOI18_citymapping) C++17
88.22 / 100
 18 ms 628 KB 
#include "citymapping.h"
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

ll ask(int i, int j)
{
  return get_distance(i + 1, j + 1);
}

void find_roads(int n, int q, int e_a[], int e_b[], int e_w[])
{
  int root = 0;
  vector<ll> dist0(n, 0);
  vector<int> ord;
  for (int i = 0; i < n; i++)
  {
    if (root == i)
    {
      dist0[i] = 0;
      continue;
    }
    dist0[i] = ask(root, i);
    ord.push_back(i);
  }
  sort(ord.begin(), ord.end(), [&] (int i, int j) {return dist0[i] < dist0[j];});
  vector<int> deja = {0};
  vector<vector<int>> g(n);
  vector<int> sub(n), big(n), u(n), par(n);
  int top = 0;

  auto add_edge = [&] (int a, int b)
  {
    e_a[top] = a + 1;
    e_b[top] = b + 1;
    e_w[top] = dist0[b] - dist0[a];
    g[a].push_back(b);
    top++;
  };

  function<void(int)> dfs = [&] (int a)
  {
    sub[a] = 1;
    if (g[a].empty())
    {
      u[a] = a;
      return;
    }
    big[a] = g[a][0];
    for (auto &b : g[a])
    {
      dfs(b);
      par[b] = a;
      sub[a] += sub[b];
      if (sub[b] > sub[big[a]])
      {
        big[a] = b;
      }
    }
    u[a] = u[big[a]];
  };

  function<void(int, int)> locate = [&] (int root, int new_vertex)
  {
    if (sub[root] == 1)
    {
      add_edge(root, new_vertex);
      return;
    }
    int b = u[root];
    ll dist_b_v = ask(b, new_vertex);
    ll dist_b_r = dist0[b] - dist0[root];
    ll dist_v_r = dist0[new_vertex] - dist0[root];
    ll sum_dub = (dist_b_v + dist_b_r + dist_v_r);
    ll sum = sum_dub / 2;
    ll z = sum - dist_b_r;
    ll x = sum - dist_b_v;
    ll y = sum - dist_v_r;
    int fix_inainte = -1;
    if (y == 0)
    {
      add_edge(b, new_vertex);
      return;
    }
    while (y > 0)
    {
      y -= (dist0[b] - dist0[par[b]]);
      fix_inainte = b;
      b = par[b];
    }
    int mid_point = b;
    if (z == 0)
    {
      add_edge(mid_point, new_vertex);
      return;
    }
    if ((int) g[mid_point].size() == 1)
    {
      add_edge(mid_point, new_vertex);
      return;
    }
    vector<int> oth;
    for (auto &vecin : g[mid_point])
    {
      if (vecin == fix_inainte)
      {
        continue;
      }
      oth.push_back(vecin);
    }
    if ((int) oth.size() == 1)
    {
      if (dist0[oth[0]] - dist0[mid_point] >= z)
      {
        add_edge(mid_point, new_vertex);
        return;
      }
      if (ask(oth[0], new_vertex) < z)
      {
        locate(oth[0], new_vertex);
        return;
      }
      add_edge(mid_point, new_vertex);
      return;
    }
    if (ask(oth[0], new_vertex) < ask(oth[1], new_vertex))
    {
      locate(oth[0], new_vertex);
    }
    else
    {
      locate(oth[1], new_vertex);
    }
  };

  for (auto &vertex : ord)
  {
    dfs(root);
    locate(root, vertex);
  }
}

Compilation message

citymapping.cpp: In lambda function:
citymapping.cpp:79:8: warning: unused variable 'x' [-Wunused-variable]
   79 |     ll x = sum - dist_b_v;
      |        ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 468 KB Correct: 3393 out of 500000 queries used.
2 Correct 16 ms 532 KB Correct: 2592 out of 500000 queries used.
3 Correct 16 ms 596 KB Correct: 6716 out of 500000 queries used.
4 Correct 15 ms 496 KB Correct: 8681 out of 500000 queries used.
5 Correct 17 ms 468 KB Correct: 4747 out of 500000 queries used.

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 468 KB Correct: 3393 out of 500000 queries used.
2 Correct 16 ms 532 KB Correct: 2592 out of 500000 queries used.
3 Correct 16 ms 596 KB Correct: 6716 out of 500000 queries used.
4 Correct 15 ms 496 KB Correct: 8681 out of 500000 queries used.
5 Correct 17 ms 468 KB Correct: 4747 out of 500000 queries used.
6 Correct 17 ms 588 KB Correct: 2027 out of 500000 queries used.
7 Correct 17 ms 468 KB Correct: 2132 out of 500000 queries used.
8 Correct 17 ms 468 KB Correct: 6197 out of 500000 queries used.
9 Correct 16 ms 504 KB Correct: 7891 out of 500000 queries used.
10 Correct 17 ms 468 KB Correct: 4081 out of 500000 queries used.

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 468 KB Correct: 2184 out of 12000 queries used.
2 Correct 16 ms 468 KB Correct: 2657 out of 12000 queries used.
3 Correct 15 ms 544 KB Correct: 2919 out of 12000 queries used.
4 Correct 16 ms 544 KB Correct: 2947 out of 12000 queries used.
5 Correct 16 ms 468 KB Correct: 2484 out of 12000 queries used.

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 468 KB Correct: 2184 out of 12000 queries used.
2 Correct 16 ms 468 KB Correct: 2657 out of 12000 queries used.
3 Correct 15 ms 544 KB Correct: 2919 out of 12000 queries used.
4 Correct 16 ms 544 KB Correct: 2947 out of 12000 queries used.
5 Correct 16 ms 468 KB Correct: 2484 out of 12000 queries used.
6 Correct 18 ms 528 KB Correct: 2952 out of 12000 queries used.
7 Correct 15 ms 468 KB Correct: 2774 out of 12000 queries used.
8 Correct 16 ms 468 KB Correct: 2416 out of 12000 queries used.
9 Correct 18 ms 468 KB Correct: 2478 out of 12000 queries used.
10 Correct 15 ms 540 KB Correct: 2618 out of 12000 queries used.

Subtask #5
31.22 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 468 KB Correct: 3393 out of 500000 queries used.
2 Correct 16 ms 532 KB Correct: 2592 out of 500000 queries used.
3 Correct 16 ms 596 KB Correct: 6716 out of 500000 queries used.
4 Correct 15 ms 496 KB Correct: 8681 out of 500000 queries used.
5 Correct 17 ms 468 KB Correct: 4747 out of 500000 queries used.
6 Correct 17 ms 588 KB Correct: 2027 out of 500000 queries used.
7 Correct 17 ms 468 KB Correct: 2132 out of 500000 queries used.
8 Correct 17 ms 468 KB Correct: 6197 out of 500000 queries used.
9 Correct 16 ms 504 KB Correct: 7891 out of 500000 queries used.
10 Correct 17 ms 468 KB Correct: 4081 out of 500000 queries used.
11 Correct 17 ms 468 KB Correct: 2184 out of 12000 queries used.
12 Correct 16 ms 468 KB Correct: 2657 out of 12000 queries used.
13 Correct 15 ms 544 KB Correct: 2919 out of 12000 queries used.
14 Correct 16 ms 544 KB Correct: 2947 out of 12000 queries used.
15 Correct 16 ms 468 KB Correct: 2484 out of 12000 queries used.
16 Correct 18 ms 528 KB Correct: 2952 out of 12000 queries used.
17 Correct 15 ms 468 KB Correct: 2774 out of 12000 queries used.
18 Correct 16 ms 468 KB Correct: 2416 out of 12000 queries used.
19 Correct 18 ms 468 KB Correct: 2478 out of 12000 queries used.
20 Correct 15 ms 540 KB Correct: 2618 out of 12000 queries used.
21 Correct 18 ms 516 KB Correct: 3013 out of 25000 queries used.
22 Correct 16 ms 468 KB Correct: 2183 out of 25000 queries used.
23 Correct 16 ms 628 KB Correct: 2737 out of 25000 queries used.
24 Correct 16 ms 548 KB Correct: 2115 out of 25000 queries used.
25 Correct 16 ms 508 KB Correct: 6618 out of 25000 queries used.
26 Correct 16 ms 508 KB Correct: 6436 out of 25000 queries used.
27 Correct 17 ms 504 KB Correct: 6349 out of 25000 queries used.
28 Correct 17 ms 512 KB Correct: 6530 out of 25000 queries used.
29 Correct 16 ms 508 KB Correct: 6709 out of 25000 queries used.
30 Correct 16 ms 504 KB Correct: 6602 out of 25000 queries used.
31 Correct 17 ms 468 KB Correct: 7997 out of 25000 queries used.
32 Correct 17 ms 468 KB Correct: 2457 out of 25000 queries used.
33 Correct 16 ms 468 KB Correct: 7877 out of 25000 queries used.
34 Correct 17 ms 508 KB Correct: 8025 out of 25000 queries used.
35 Correct 15 ms 504 KB Correct: 7913 out of 25000 queries used.
36 Correct 16 ms 504 KB Correct: 7945 out of 25000 queries used.
37 Correct 14 ms 504 KB Correct: 8010 out of 25000 queries used.
38 Correct 15 ms 504 KB Correct: 7926 out of 25000 queries used.
39 Correct 16 ms 468 KB Correct: 7958 out of 25000 queries used.
40 Correct 15 ms 468 KB Correct: 8034 out of 25000 queries used.
41 Correct 17 ms 508 KB Correct: 7961 out of 25000 queries used.
42 Correct 14 ms 500 KB Correct: 8109 out of 25000 queries used.
43 Correct 16 ms 556 KB Correct: 2179 out of 25000 queries used.
44 Correct 16 ms 496 KB Correct: 7950 out of 25000 queries used.
45 Correct 16 ms 468 KB Correct: 7909 out of 25000 queries used.
46 Correct 15 ms 508 KB Correct: 7861 out of 25000 queries used.
47 Correct 16 ms 468 KB Correct: 8055 out of 25000 queries used.
48 Correct 15 ms 504 KB Correct: 7996 out of 25000 queries used.
49 Correct 15 ms 468 KB Correct: 7907 out of 25000 queries used.
50 Correct 15 ms 500 KB Correct: 7921 out of 25000 queries used.
51 Correct 16 ms 468 KB Correct: 7917 out of 25000 queries used.
52 Correct 15 ms 504 KB Correct: 7980 out of 25000 queries used.
53 Correct 16 ms 504 KB Correct: 8000 out of 25000 queries used.
54 Correct 17 ms 536 KB Correct: 2821 out of 25000 queries used.
55 Correct 17 ms 504 KB Correct: 8102 out of 25000 queries used.
56 Correct 18 ms 500 KB Correct: 7997 out of 25000 queries used.
57 Correct 17 ms 504 KB Correct: 7964 out of 25000 queries used.
58 Correct 17 ms 500 KB Correct: 7963 out of 25000 queries used.
59 Correct 15 ms 508 KB Correct: 7935 out of 25000 queries used.
60 Correct 17 ms 468 KB Correct: 4053 out of 25000 queries used.
61 Correct 17 ms 500 KB Correct: 4607 out of 25000 queries used.
62 Correct 18 ms 508 KB Correct: 3814 out of 25000 queries used.
63 Correct 18 ms 468 KB Correct: 4603 out of 25000 queries used.
64 Correct 17 ms 504 KB Correct: 4181 out of 25000 queries used.
65 Correct 16 ms 548 KB Correct: 2191 out of 25000 queries used.
66 Correct 18 ms 512 KB Correct: 4423 out of 25000 queries used.
67 Correct 17 ms 468 KB Correct: 2062 out of 25000 queries used.
68 Correct 17 ms 468 KB Correct: 3000 out of 25000 queries used.
69 Correct 17 ms 468 KB Correct: 2910 out of 25000 queries used.
70 Correct 17 ms 468 KB Correct: 2841 out of 25000 queries used.