Submission #839448

#TimeUsernameProblemLanguageResultExecution timeMemory
839448dong_liuMaze (JOI23_ho_t3)C++17
100 / 100
1994 ms852460 KiB
#pragma GCC optimize("O3,unroll-loops")

#include "bits/stdc++.h"

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...)
#endif

typedef pair<int, int> pi;

struct Range {
  vector<int> p;
  vector<bool> rem;

  Range(int n) : p(n), rem(n, false) {
    for (int i = 0; i < n; i++) p[i] = i;
  }
  int dsf(int i) {
    return p[i] == i ? i : p[i] = dsf(p[i]);
  }
  void dsj(int i, int j) { p[dsf(i)] = dsf(j); }
  bool has(int i) { return !rem[i]; }
  void remove(int i) {
    if (i > 0 && rem[i-1]) dsj(i-1, i);
    if (i+1 < int(p.size()) && rem[i+1]) dsj(i, i+1);
    rem[i] = 1;
  }
  int next(int i) {
    return i == int(p.size()) ? p.size() : !rem[i] ? i : dsf(i)+1;
  }
};

int main() {
  ios::sync_with_stdio(false);
  cin.exceptions(cin.failbit);
  cin.tie(NULL);
  int k, n, m;
  cin >> n >> m >> k;
  int i1, j1, i2, j2;
  cin >> i1 >> j1 >> i2 >> j2, i1--, j1--, i2--, j2--;
  vector<string> g(n);
  for (int i = 0; i < n; i++) cin >> g[i];
  vector<Range> row, col;
  for (int i = 0; i < n; i++) row.push_back(Range(m));
  for (int i = 0; i < m; i++) col.push_back(Range(n));
  vector d(n, vector<int>(m, -1));
  vector<pi> f;
  vector fl(n, vector<int>(m, false));
  d[i1][j1] = 0, f.push_back({i1, j1}), row[i1].remove(j1), col[j1].remove(i1);
  for (int x = 0; ; x++) {
    for (int p = 0; p < int(f.size()); p++) {
      auto [i,j] = f[p];
      fl[i][j] = true;
      if (i == i2 && j == j2) {
        cout << x << '\n';
        return 0;
      }
      if (i > 0 && g[i-1][j] == '.' && d[i-1][j] == -1)
        d[i-1][j] = x, f.push_back({i-1,j}), row[i-1].remove(j), col[j].remove(i-1);
      if (i+1 < n && g[i+1][j] == '.' && d[i+1][j] == -1)
        d[i+1][j] = x, f.push_back({i+1,j}), row[i+1].remove(j), col[j].remove(i+1);
      if (j > 0 && g[i][j-1] == '.' && d[i][j-1] == -1)
        d[i][j-1] = x, f.push_back({i,j-1}), row[i].remove(j-1), col[j-1].remove(i);
      if (j+1 < m && g[i][j+1] == '.' && d[i][j+1] == -1)
        d[i][j+1] = x, f.push_back({i,j+1}), row[i].remove(j+1), col[j+1].remove(i);
    }
    vector<pi> half = f, g;
    for (auto [i,j] : f) {
      int p = row[i].next(max(0,j-k));
      while (p < m && p <= j+k) {
        d[i][p] = x+1;
        if (abs(p-j) != k) {
          row[i].remove(p), col[p].remove(i);
          fl[i][p] = true;
        }
        half.push_back({i,p}), g.push_back({i,p});
        p = row[i].next(p+1);
      }
    }
    for (auto [i,j] : half) if (row[i].has(j))
      row[i].remove(j), col[j].remove(i);
    for (auto [i,j] : half) {
      int bound = k - (fl[i][j]?0:1);
      int p = col[j].next(max(0,i-bound));
      while (p < n && p <= i+bound) {
        d[p][j] = x+1;
        g.push_back({p,j});
        row[p].remove(j), col[j].remove(p);
        p = col[j].next(p+1);
      }
    }
    swap(f,g);
  }
}
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