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BOJ. Height And Width Of Tree (2250)

[Link] https://www.acmicpc.net/problem/2250


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#include <algorithm>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
// #include <bits/stdc++.h>
using namespace std;
#define for0(i, n) for(int i = 0; i < n; i++)
#define for1(i, n) for(int i = 1; i < n; i++)
#define fori(s, e) for(int i = s; i < e; i++)
#define endl "\n"
typedef long long ll;
const int INF = 987654321;
const int MAX = 100;

int n, mmax = 1, space_from_left = 0, max_depth;
int depth = 0, width = 0;

class Node {
  public:
    int idx;
    int depth = 0;
    int space_from_left = 0;
    Node* left;
    Node* right;
    Node(int _idx): idx(_idx), left(NULL), right(NULL) {}
    Node() {}
};

vector<Node> nodes;
vector<pair<int, int>> min_max;

void set_depth_dfs(Node *node, int depth) {
  node->depth = depth;
  max_depth = max(max_depth, depth);
  if(node -> left != NULL) set_depth_dfs(node->left, depth + 1);
  node -> space_from_left = space_from_left++;
  min_max[depth].first = min(min_max[depth].first, space_from_left);
  min_max[depth].second = max(min_max[depth].second, space_from_left);
  if(node -> right != NULL) set_depth_dfs(node->right, depth+1);
}

void get_max_bfs(Node *node) {
  for0(i, max_depth + 1) {
    if(width == abs(min_max[i].first - min_max[i].second)) {
      depth = min(depth, i);
    } else if(width < abs(min_max[i].first - min_max[i].second)) {
      depth = i;
      width = abs(min_max[i].first - min_max[i].second);
    }
  }
}

int main() {
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  cin >> n;
  for0(i, n) {
    nodes.push_back(Node(i));
    min_max.push_back(make_pair(INF, -INF));
  }
  vector<bool> is_root(n, true);
  for0(i, n) {
    int node, a, b; cin >> node >> a >> b;
    if(a != -1) {
      nodes[node - 1].left = &nodes[a - 1];
      is_root[a - 1] = false;
    }
    if(b != -1) {
      nodes[node - 1].right = &nodes[b - 1];
      is_root[b - 1] = false;
    }
  }
  int root = 0;
  for0(i, n) if(is_root[i]) root = i;
  set_depth_dfs(&nodes[root], 0);
  get_max_bfs(&nodes[root]);

  cout << depth + 1 << " " << width + 1;
  return 0;
}
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