oj.uz

Submission #570591

# Submission time Handle Problem Language Result Execution time Memory
570591 2022-05-30T15:09:26 Z iancu Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 28844 KB 
#include <bits/stdc++.h>

#define NORTH 0
#define SOUTH 1
#define EAST  2
#define WEST  3

using namespace std;

const int N = 5e4 + 5;

struct Node {
  int x, y;
  int val;
  int dir;
  long long dist;

  bool operator<(const Node& n) const {
    if (val != n.val)
      return val > n.val;
    return make_tuple(x, y, dir) < make_tuple(n.x, n.y, n.dir);
  }
};

struct Hasher
{
  long long operator() (const Node& n) const
  {
      return n.dir ^ n.val ^ n.x ^ n.y;
  }
};
struct EqualFn
{
  bool operator() (const Node& n1, const Node& n2) const
  {
    return (n1.x == n2.x) && (n1.y == n2.y) && (n1.val == n2.val) && (n1.dir == n2.dir);
  }
};
struct Hasher2
{
  int operator() (const pair<int, int>& n) const
  {
      return n.first ^ n.second;
  }
};

int h, w;
int a[N], b[N];

long long solve(int x, int y, int dir) {
  unordered_map<Node, pair<int, int>, Hasher, EqualFn> nxt;
  unordered_map<pair<int, int>, long long, Hasher2> dp;
  int hl, hr, wl, wr;
  long long ans = 0;
  hl = hr = x;
  wl = wr = y;
  if (dir == 0) hl = max(hl - 1, 1);
  else if (dir == 1) hr = min(hr + 1, h);
  else if (dir == 2) wr = min(wr + 1, w);
  else wl = max(wl - 1, 1);
  priority_queue<Node> pq;
  pq.push({x, y, 0, dir, 0});
  while (!pq.empty()) {
    auto n = pq.top();
    //cout << n.x << " " << n.y << " " << n.dir << " " << n.dist << endl;
    pq.pop();
    ans = max(ans, n.dist);

    if (n.dir == NORTH && n.x == 1)
      continue;
    if (n.dir == SOUTH && n.x == h)
      continue;
    if (n.dir == EAST  && n.y == w)
      continue;
    if (n.dir == WEST  && n.y == 1)
      continue;

    if (n.dir == NORTH) {
      if (nxt.find(n) != nxt.end()) {
      } else {
          while (hl > 1 && a[hl] <= b[n.y])
            --hl;
          if (a[hl] <= b[n.y]) {
            ans = max(ans, n.dist + n.x - hl);
            continue;
          }
          nxt[n] = {hl, n.y};
      }
      if (dp[nxt[n]] >= n.dist + n.x - nxt[n].first)
        continue;
      dp[nxt[n]] = n.dist + n.x - nxt[n].first;
      pq.push({nxt[n].first, nxt[n].second, a[nxt[n].first], WEST, n.dist + n.x - nxt[n].first});
      pq.push({nxt[n].first, nxt[n].second, a[nxt[n].first], EAST, n.dist + n.x - nxt[n].first});
    } else if (n.dir == SOUTH) {
      if (nxt.find(n) == nxt.end()) {
        while (hr < h && a[hr] <= b[n.y])
          ++hr;
        if (a[hr] <= b[n.y]) {
          ans = max(ans, n.dist + hr - n.x);
          continue;
        }
        nxt[n] = {hr, n.y};
      }
      if (dp[nxt[n]] >= n.dist + nxt[n].first - n.x)
        continue;
      dp[nxt[n]] = n.dist + nxt[n].first - n.x;
      pq.push({nxt[n].first, nxt[n].second, a[nxt[n].first], WEST, n.dist + nxt[n].first - n.x});
      pq.push({nxt[n].first, nxt[n].second, a[nxt[n].first], EAST, n.dist + nxt[n].first - n.x});
    } else if (n.dir == EAST) {
      if (nxt.find(n) == nxt.end()) {
        while (wr < w && b[wr] <= a[n.x])
          ++wr;
        if (b[wr] <= a[n.x]) {
          ans = max(ans, n.dist + wr - n.y);
          continue;
        }
        nxt[n] = {n.x, wr};
      }
      if (dp[nxt[n]] >= n.dist + nxt[n].second - n.y)
        continue;
      dp[nxt[n]] = n.dist + nxt[n].second - n.y;
      pq.push({nxt[n].first, nxt[n].second, b[nxt[n].second], NORTH, n.dist + nxt[n].second - n.y});
      pq.push({nxt[n].first, nxt[n].second, b[nxt[n].second], SOUTH, n.dist + nxt[n].second - n.y});
    } else {
      if (nxt.find(n) == nxt.end()) {
        while (wl > 1 && b[wl] <= a[n.x])
          --wl;
        if (b[wl] <= a[n.x]) {
          ans = max(ans, n.dist + n.y - wl);
          continue;
        }
        nxt[n] = {n.x, wl};
      }
      if (dp[nxt[n]] >= n.dist + n.y - nxt[n].second)
        continue;
      dp[nxt[n]] = n.dist + n.y - nxt[n].second;
      pq.push({nxt[n].first, nxt[n].second, b[nxt[n].second], NORTH, n.dist + n.y - nxt[n].second});
      pq.push({nxt[n].first, nxt[n].second, b[nxt[n].second], SOUTH, n.dist + n.y - nxt[n].second});
    }
  }
  return ans;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);
  int q;
  cin >> h >> w >> q;
  for (int i = 1; i <= h; ++i)
    cin >> a[i];
  for (int i = 1; i <= w; ++i)
    cin >> b[i];
  while (q--) {
    int x, y;
    cin >> x >> y;
    long long ans = 0;
    for (int i = 0; i < 4; ++i)
      ans = max(ans, solve(x, y, i));
    cout << ans << "\n";
  }
  return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 14 ms 852 KB Output is correct
20 Correct 18 ms 1108 KB Output is correct
21 Correct 15 ms 992 KB Output is correct
22 Correct 67 ms 1640 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 14 ms 852 KB Output is correct
20 Correct 18 ms 1108 KB Output is correct
21 Correct 15 ms 992 KB Output is correct
22 Correct 67 ms 1640 KB Output is correct
23 Correct 10 ms 724 KB Output is correct
24 Correct 10 ms 724 KB Output is correct
25 Correct 10 ms 724 KB Output is correct
26 Correct 16 ms 724 KB Output is correct
27 Correct 11 ms 724 KB Output is correct
28 Correct 85 ms 5060 KB Output is correct
29 Correct 16 ms 1236 KB Output is correct
30 Correct 547 ms 15960 KB Output is correct
31 Correct 936 ms 21748 KB Output is correct
32 Correct 28 ms 1492 KB Output is correct
33 Correct 947 ms 5684 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 364 KB Output is correct
2 Correct 10 ms 340 KB Output is correct
3 Correct 9 ms 340 KB Output is correct
4 Correct 11 ms 340 KB Output is correct
5 Correct 10 ms 340 KB Output is correct
6 Correct 94 ms 600 KB Output is correct
7 Correct 87 ms 600 KB Output is correct
8 Correct 839 ms 1792 KB Output is correct
9 Correct 868 ms 1752 KB Output is correct
10 Correct 955 ms 1684 KB Output is correct
11 Correct 2863 ms 2032 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 14 ms 852 KB Output is correct
20 Correct 18 ms 1108 KB Output is correct
21 Correct 15 ms 992 KB Output is correct
22 Correct 67 ms 1640 KB Output is correct
23 Correct 10 ms 724 KB Output is correct
24 Correct 10 ms 724 KB Output is correct
25 Correct 10 ms 724 KB Output is correct
26 Correct 16 ms 724 KB Output is correct
27 Correct 11 ms 724 KB Output is correct
28 Correct 85 ms 5060 KB Output is correct
29 Correct 16 ms 1236 KB Output is correct
30 Correct 547 ms 15960 KB Output is correct
31 Correct 936 ms 21748 KB Output is correct
32 Correct 28 ms 1492 KB Output is correct
33 Correct 947 ms 5684 KB Output is correct
34 Correct 11 ms 364 KB Output is correct
35 Correct 10 ms 340 KB Output is correct
36 Correct 9 ms 340 KB Output is correct
37 Correct 11 ms 340 KB Output is correct
38 Correct 10 ms 340 KB Output is correct
39 Correct 94 ms 600 KB Output is correct
40 Correct 87 ms 600 KB Output is correct
41 Correct 839 ms 1792 KB Output is correct
42 Correct 868 ms 1752 KB Output is correct
43 Correct 955 ms 1684 KB Output is correct
44 Correct 2863 ms 2032 KB Output is correct
45 Correct 36 ms 724 KB Output is correct
46 Correct 42 ms 724 KB Output is correct
47 Correct 43 ms 732 KB Output is correct
48 Correct 38 ms 716 KB Output is correct
49 Correct 41 ms 736 KB Output is correct
50 Correct 4266 ms 7640 KB Output is correct
51 Correct 3124 ms 8260 KB Output is correct
52 Execution timed out 5085 ms 28844 KB Time limit exceeded
53 Halted 0 ms 0 KB -