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Submission #572921

# Submission time Handle Problem Language Result Execution time Memory
572921 2022-06-05T13:41:53 Z iancu Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 3344 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 {
  unsigned short x, y;
  int val;
  char dir;
  int 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);
  }
};

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

int solve(int x, int y, int dir) {
  vector<unsigned short> nxt0(w + h + 1, 0);
  vector<unsigned short> nxt1(w + h + 1, 0);
  vector<unsigned short> nxt2(w + h + 1, 0);
  vector<unsigned short> nxt3(w + h + 1, 0);
  //unordered_map<pair<int, int>, int, Hasher2> dp;
  vector<int> dp1sus(w + h + 1, 0);
  vector<int> dp1jos(w + h + 1, 0);
  vector<int> dp2st(w + h + 1, 0);
  vector<int> dp2dr(w + h + 1, 0);
  int hl, hr, wl, wr;
  int 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;
    int ans = 0;
    for (int i = 0; i < 4; ++i)
      ans = max(ans, solve(x, y, i));
    cout << ans << "\n";
  }
  return 0;
}

Compilation message

abduction2.cpp: In function 'int solve(int, int, int)':
abduction2.cpp:46:12: warning: narrowing conversion of 'x' from 'int' to 'short unsigned int' [-Wnarrowing]
   46 |   pq.push({x, y, 0, dir, 0});
      |            ^
abduction2.cpp:46:15: warning: narrowing conversion of 'y' from 'int' to 'short unsigned int' [-Wnarrowing]
   46 |   pq.push({x, y, 0, dir, 0});
      |               ^
abduction2.cpp:46:21: warning: narrowing conversion of 'dir' from 'int' to 'char' [-Wnarrowing]
   46 |   pq.push({x, y, 0, dir, 0});
      |                     ^~~
abduction2.cpp:77:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
   77 |       pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + n.x - urm.first});
      |                ~~~~^~~~~
abduction2.cpp:77:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
   77 |       pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + n.x - urm.first});
      |                           ~~~~^~~~~~
abduction2.cpp:78:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
   78 |       pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + n.x - urm.first});
      |                ~~~~^~~~~
abduction2.cpp:78:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
   78 |       pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + n.x - urm.first});
      |                           ~~~~^~~~~~
abduction2.cpp:93:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
   93 |       pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + urm.first - n.x});
      |                ~~~~^~~~~
abduction2.cpp:93:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
   93 |       pq.push({urm.first, urm.second, a[urm.first], WEST, n.dist + urm.first - n.x});
      |                           ~~~~^~~~~~
abduction2.cpp:94:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
   94 |       pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + urm.first - n.x});
      |                ~~~~^~~~~
abduction2.cpp:94:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
   94 |       pq.push({urm.first, urm.second, a[urm.first], EAST, n.dist + urm.first - n.x});
      |                           ~~~~^~~~~~
abduction2.cpp:109:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
  109 |       pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + urm.second - n.y});
      |                ~~~~^~~~~
abduction2.cpp:109:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
  109 |       pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + urm.second - n.y});
      |                           ~~~~^~~~~~
abduction2.cpp:110:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
  110 |       pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + urm.second - n.y});
      |                ~~~~^~~~~
abduction2.cpp:110:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
  110 |       pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + urm.second - n.y});
      |                           ~~~~^~~~~~
abduction2.cpp:125:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
  125 |       pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + n.y - urm.second});
      |                ~~~~^~~~~
abduction2.cpp:125:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
  125 |       pq.push({urm.first, urm.second, b[urm.second], NORTH, n.dist + n.y - urm.second});
      |                           ~~~~^~~~~~
abduction2.cpp:126:20: warning: narrowing conversion of 'urm.std::pair<int, int>::first' from 'int' to 'short unsigned int' [-Wnarrowing]
  126 |       pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + n.y - urm.second});
      |                ~~~~^~~~~
abduction2.cpp:126:31: warning: narrowing conversion of 'urm.std::pair<int, int>::second' from 'int' to 'short unsigned int' [-Wnarrowing]
  126 |       pq.push({urm.first, urm.second, b[urm.second], SOUTH, n.dist + n.y - urm.second});
      |                           ~~~~^~~~~~

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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 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 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 4 ms 340 KB Output is correct
22 Correct 6 ms 340 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 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 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 4 ms 340 KB Output is correct
22 Correct 6 ms 340 KB Output is correct
23 Correct 18 ms 3064 KB Output is correct
24 Correct 12 ms 3028 KB Output is correct
25 Correct 13 ms 3068 KB Output is correct
26 Correct 13 ms 3068 KB Output is correct
27 Correct 11 ms 3068 KB Output is correct
28 Correct 17 ms 3092 KB Output is correct
29 Correct 12 ms 3028 KB Output is correct
30 Correct 82 ms 3044 KB Output is correct
31 Correct 89 ms 3036 KB Output is correct
32 Correct 21 ms 3000 KB Output is correct
33 Correct 40 ms 3084 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 4 ms 340 KB Output is correct
3 Correct 4 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 13 ms 444 KB Output is correct
7 Correct 12 ms 436 KB Output is correct
8 Correct 163 ms 424 KB Output is correct
9 Correct 159 ms 440 KB Output is correct
10 Correct 166 ms 460 KB Output is correct
11 Correct 282 ms 340 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 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 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 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 4 ms 340 KB Output is correct
22 Correct 6 ms 340 KB Output is correct
23 Correct 18 ms 3064 KB Output is correct
24 Correct 12 ms 3028 KB Output is correct
25 Correct 13 ms 3068 KB Output is correct
26 Correct 13 ms 3068 KB Output is correct
27 Correct 11 ms 3068 KB Output is correct
28 Correct 17 ms 3092 KB Output is correct
29 Correct 12 ms 3028 KB Output is correct
30 Correct 82 ms 3044 KB Output is correct
31 Correct 89 ms 3036 KB Output is correct
32 Correct 21 ms 3000 KB Output is correct
33 Correct 40 ms 3084 KB Output is correct
34 Correct 4 ms 340 KB Output is correct
35 Correct 4 ms 340 KB Output is correct
36 Correct 4 ms 340 KB Output is correct
37 Correct 4 ms 340 KB Output is correct
38 Correct 4 ms 340 KB Output is correct
39 Correct 13 ms 444 KB Output is correct
40 Correct 12 ms 436 KB Output is correct
41 Correct 163 ms 424 KB Output is correct
42 Correct 159 ms 440 KB Output is correct
43 Correct 166 ms 460 KB Output is correct
44 Correct 282 ms 340 KB Output is correct
45 Correct 73 ms 3076 KB Output is correct
46 Correct 288 ms 3268 KB Output is correct
47 Correct 299 ms 3276 KB Output is correct
48 Correct 308 ms 3340 KB Output is correct
49 Correct 302 ms 3208 KB Output is correct
50 Correct 544 ms 3276 KB Output is correct
51 Correct 531 ms 3328 KB Output is correct
52 Correct 4292 ms 3344 KB Output is correct
53 Correct 4375 ms 3108 KB Output is correct
54 Correct 3823 ms 3192 KB Output is correct
55 Execution timed out 5053 ms 3308 KB Time limit exceeded
56 Halted 0 ms 0 KB -