oj.uz

Submission #572910

# Submission time Handle Problem Language Result Execution time Memory
572910 2022-06-05T13:25:52 Z iancu Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 6728 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 {
    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
{
  size_t operator() (const pair<int, int>& v) const
  {
      size_t h = (size_t(v.first)<<32)+size_t(v.second);
      h*=1231231557ull; // "random" uneven integer
      h^=(h>>32);
      return h;
  }
};

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

long long solve(int x, int y, int dir) {
  vector<int> nxt0(w + h + 1, 0);
  vector<int> nxt1(w + h + 1, 0);
  vector<int> nxt2(w + h + 1, 0);
  vector<int> nxt3(w + h + 1, 0);
  //unordered_map<pair<int, int>, long long, Hasher2> dp;
  vector<long long> dp1sus(w + h + 1, 0);
  vector<long long> dp1jos(w + h + 1, 0);
  vector<long long> dp2st(w + h + 1, 0);
  vector<long long> dp2dr(w + h + 1, 0);
  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 (nxt0[n.y] != 0) {
      } 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;
          }
          nxt0[n.y] = hl;
      }
      pair<int, int> urm = {nxt0[n.y], n.y};
      if (dp1sus[n.y] >= n.dist + n.x - urm.first)
        continue;
      dp1sus[n.y] = n.dist + n.x - urm.first;
      pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + n.x - urm.first});
      pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + n.x - urm.first});
    } else if (n.dir == SOUTH) {
      if (nxt1[n.y] == 0) {
        while (hr < h && a[hr] <= b[n.y])
          ++hr;
        if (a[hr] <= b[n.y]) {
          ans = max(ans, n.dist + hr - n.x);
          continue;
        }
        nxt1[n.y] = hr;
      }
      pair<int, int> urm = {nxt1[n.y], n.y};
      if (dp1jos[n.y] >= n.dist + urm.first - n.x)
        continue;
      dp1jos[n.y] = n.dist + urm.first - n.x;
      pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + urm.first - n.x});
      pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + urm.first - n.x});
    } else if (n.dir == EAST) {
      if (nxt2[n.x] == 0) {
        while (wr < w && b[wr] <= a[n.x])
          ++wr;
        if (b[wr] <= a[n.x]) {
          ans = max(ans, n.dist + wr - n.y);
          continue;
        }
        nxt2[n.x] = wr;
      }
      pair<int, int> urm = {n.x, nxt2[n.x]};
      if (dp2dr[n.x] >= n.dist + urm.second - n.y)
        continue;
      dp2dr[n.x] = n.dist + urm.second - n.y;
      pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + urm.second - n.y});
      pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + urm.second - n.y});
    } else {
      if (nxt3[n.x] == 0) {
        while (wl > 1 && b[wl] <= a[n.x])
          --wl;
        if (b[wl] <= a[n.x]) {
          ans = max(ans, n.dist + n.y - wl);
          continue;
        }
        nxt3[n.x] = wl;
      }
      pair<int, int> urm = {n.x, nxt3[n.x]};
      if (dp2st[n.x] >= n.dist + n.y - urm.second)
        continue;
      dp2st[n.x] = n.dist + n.y - urm.second;
      pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + n.y - urm.second});
      pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + n.y - urm.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 1 ms 220 KB Output is correct
2 Correct 0 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 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 220 KB Output is correct
2 Correct 0 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 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 500 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 4 ms 468 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 7 ms 468 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 220 KB Output is correct
2 Correct 0 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 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 500 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 4 ms 468 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 7 ms 468 KB Output is correct
23 Correct 16 ms 6380 KB Output is correct
24 Correct 19 ms 6400 KB Output is correct
25 Correct 17 ms 6364 KB Output is correct
26 Correct 16 ms 6368 KB Output is correct
27 Correct 16 ms 6372 KB Output is correct
28 Correct 25 ms 6376 KB Output is correct
29 Correct 16 ms 6380 KB Output is correct
30 Correct 85 ms 6368 KB Output is correct
31 Correct 109 ms 6336 KB Output is correct
32 Correct 26 ms 6352 KB Output is correct
33 Correct 45 ms 6356 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 468 KB Output is correct
2 Correct 6 ms 468 KB Output is correct
3 Correct 5 ms 468 KB Output is correct
4 Correct 8 ms 584 KB Output is correct
5 Correct 6 ms 504 KB Output is correct
6 Correct 19 ms 468 KB Output is correct
7 Correct 17 ms 468 KB Output is correct
8 Correct 171 ms 556 KB Output is correct
9 Correct 186 ms 608 KB Output is correct
10 Correct 204 ms 556 KB Output is correct
11 Correct 323 ms 552 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 220 KB Output is correct
2 Correct 0 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 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 500 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 4 ms 468 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 7 ms 468 KB Output is correct
23 Correct 16 ms 6380 KB Output is correct
24 Correct 19 ms 6400 KB Output is correct
25 Correct 17 ms 6364 KB Output is correct
26 Correct 16 ms 6368 KB Output is correct
27 Correct 16 ms 6372 KB Output is correct
28 Correct 25 ms 6376 KB Output is correct
29 Correct 16 ms 6380 KB Output is correct
30 Correct 85 ms 6368 KB Output is correct
31 Correct 109 ms 6336 KB Output is correct
32 Correct 26 ms 6352 KB Output is correct
33 Correct 45 ms 6356 KB Output is correct
34 Correct 5 ms 468 KB Output is correct
35 Correct 6 ms 468 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 8 ms 584 KB Output is correct
38 Correct 6 ms 504 KB Output is correct
39 Correct 19 ms 468 KB Output is correct
40 Correct 17 ms 468 KB Output is correct
41 Correct 171 ms 556 KB Output is correct
42 Correct 186 ms 608 KB Output is correct
43 Correct 204 ms 556 KB Output is correct
44 Correct 323 ms 552 KB Output is correct
45 Correct 579 ms 6668 KB Output is correct
46 Correct 625 ms 6624 KB Output is correct
47 Correct 625 ms 6720 KB Output is correct
48 Correct 604 ms 6728 KB Output is correct
49 Correct 607 ms 6596 KB Output is correct
50 Correct 968 ms 6580 KB Output is correct
51 Correct 920 ms 6640 KB Output is correct
52 Execution timed out 5062 ms 6548 KB Time limit exceeded
53 Halted 0 ms 0 KB -