oj.uz

Submission #883219

# Submission time Handle Problem Language Result Execution time Memory
883219 2023-12-04T19:44:57 Z MilosMilutinovic Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 38224 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int h, w, q;
  cin >> h >> w >> q;
  vector<int> a(h);
  for (int i = 0; i < h; i++) {
    cin >> a[i];
  }
  vector<int> b(w);
  for (int i = 0; i < w; i++) {
    cin >> b[i];
  }
  const int L = 20;
  vector<vector<int>> maxa(h, vector<int>(L));
  vector<vector<int>> maxb(w, vector<int>(L));
  for (int i = 0; i < h; i++) {
    maxa[i][0] = a[i];
  }
  for (int i = 0; i < w; i++) {
    maxb[i][0] = b[i];
  }
  for (int j = 1; j < L; j++) {
    for (int i = 0; i + (1 << j) <= h; i++) {
      maxa[i][j] = max(maxa[i][j - 1], maxa[i + (1 << (j - 1))][j - 1]);
    }
  }
  for (int j = 1; j < L; j++) {
    for (int i = 0; i + (1 << j) <= w; i++) {
      maxb[i][j] = max(maxb[i][j - 1], maxb[i + (1 << (j - 1))][j - 1]);
    }
  }
  vector<int> logs(max(h, w) + 1);
  for (int i = 2; i <= max(h, w); i++) {
    logs[i] = logs[i >> 1] + 1;
  }
  auto MaxA = [&](int L, int R) {
    int k = logs[R - L + 1];
    return max(maxa[L][k], maxa[R - (1 << k) + 1][k]);
  };
  auto MaxB = [&](int L, int R) {
    int k = logs[R - L + 1];
    return max(maxb[L][k], maxb[R - (1 << k) + 1][k]);
  };
  auto Go = [&](int x, int y, int dir) {
    if (dir == 0) {
      // up
      if (x == 0) {
        return make_pair(x, y);
      }
      x--;
      {
        if (MaxA(0, x) < b[y]) {
          return make_pair(0, y);
        }
        int low = 0, high = x, pos = x;
        while (low <= high) {
          int mid = low + high >> 1;
          if (MaxA(mid, x) >= b[y]) {
            pos = mid;
            low = mid + 1;
          } else {
            high = mid - 1;
          }
        }
        return make_pair(pos, y);
      }
      /* while (x > 0 && a[x] < b[y]) {
        x -= 1;
      }
      return make_pair(x, y); */
    }
    if (dir == 1) {
      // down
      if (x == h - 1) {
        return make_pair(x, y);
      }
      x += 1;
      {
        if (MaxA(x, h - 1) < b[y]) {
          return make_pair(h - 1, y);
        }
        int low = x, high = h - 1, pos = h - 1;
        while (low <= high) {
          int mid = low + high >> 1;
          if (MaxA(x, mid) >= b[y]) {
            pos = mid;
            high = mid - 1;
          } else {
            low = mid + 1;
          }
        }
        return make_pair(pos, y);
      } 
      /* while (x + 1 < h && a[x] < b[y]) {
        x += 1;
      }
      return make_pair(x, y); */
    }
    if (dir == 2) {
      // left
      if (y == 0) {
        return make_pair(x, y);
      }
      y -= 1;
      {
        if (MaxB(0, y) < a[x]) {
          return make_pair(x, 0);
        }
        int low = 0, high = y, pos = y;
        while (low <= high) {
          int mid = low + high >> 1;
          if (MaxB(mid, y) >= a[x]) {
            pos = mid;
            low = mid + 1;
          } else {
            high = mid - 1;
          }
        }
        return make_pair(x, pos);
      } 
      /* while (y > 0 && a[x] > b[y]) {
        y -= 1;
      }
      return make_pair(x, y); */
    }
    if (dir == 3) {
      // right
      if (y == w - 1) {
        return make_pair(x, y);
      }
      y += 1;
      {
        if (MaxB(y, w - 1) < a[x]) {
          return make_pair(x, w - 1);
        }
        int low = y, high = w - 1, pos = y;
        while (low <= high) {
          int mid = low + high >> 1;
          if (MaxB(y, mid) >= a[x]) {
            pos = mid;
            high = mid - 1;
          } else {
            low = mid + 1;
          }
        }
        return make_pair(x, pos);
      } 
      /* while (y + 1 < w && a[x] > b[y]) {
        y += 1;
      }
      return make_pair(x, y); */
    }
    assert(false);
    return make_pair(-1, -1);
  };
  vector<unordered_map<int, bool>> was(4);
  vector<unordered_map<int, long long>> dp(4);
  function<long long(int, int, int)> Solve = [&](int x, int y, int dir) {
    if (dir <= 1) {
      if (a[x] < b[y]) {
        return 0LL;
      }
    } else {
      if (a[x] > b[y]) {
        return 0LL;
      }
    }
    int curr = x * w + y;
    if (was[dir][curr]) {
      return dp[dir][curr];
    }
    was[dir][curr] = true;
    if (dir == 0 || dir == 1) {
      {
        pair<int, int> nxt = Go(x, y, 2);
        if (nxt.first != x || nxt.second != y) {
          dp[dir][curr] = max(dp[dir][curr], Solve(nxt.first, nxt.second, 2) + abs(nxt.first - x) + abs(nxt.second - y));
        }
      }
      {
        pair<int, int> nxt = Go(x, y, 3);
        if (nxt.first != x || nxt.second != y) {
          dp[dir][curr] = max(dp[dir][curr], Solve(nxt.first, nxt.second, 3) + abs(nxt.first - x) + abs(nxt.second - y));
        }
      }
    } 
    if (dir == 2 || dir == 3) {
      {
        pair<int, int> nxt = Go(x, y, 0);
        if (nxt.first != x || nxt.second != y) {
          dp[dir][curr] = max(dp[dir][curr], Solve(nxt.first, nxt.second, 0) + abs(nxt.first - x) + abs(nxt.second - y));
        }
      }
      {
        pair<int, int> nxt = Go(x, y, 1);
        if (nxt.first != x || nxt.second != y) {
          dp[dir][curr] = max(dp[dir][curr], Solve(nxt.first, nxt.second, 1) + abs(nxt.first - x) + abs(nxt.second - y));
        }
      }
    }
    return dp[dir][curr];
  };
  while (q--) {
    int x, y;
    cin >> x >> y;
    --x; --y;
    long long res = 1;
    for (int dir = 0; dir < 4; dir++) {
      pair<int, int> cell = Go(x, y, dir);
      int nx = cell.first;
      int ny = cell.second;
      if (nx != x || ny != y) {
        res = max(res, Solve(nx, ny, dir) + abs(x - nx) + abs(y - ny));
      }
    }
    cout << res << '\n';
    for (int dir = 0; dir < 4; dir++) {
      was[dir].clear();
      dp[dir].clear();
    }
  }
  return 0;
}

Compilation message

abduction2.cpp: In lambda function:
abduction2.cpp:62:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   62 |           int mid = low + high >> 1;
      |                     ~~~~^~~~~~
abduction2.cpp:89:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   89 |           int mid = low + high >> 1;
      |                     ~~~~^~~~~~
abduction2.cpp:116:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  116 |           int mid = low + high >> 1;
      |                     ~~~~^~~~~~
abduction2.cpp:143:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  143 |           int mid = low + high >> 1;
      |                     ~~~~^~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 500 KB Output is correct
11 Correct 1 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 500 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 2 ms 1116 KB Output is correct
20 Correct 2 ms 1236 KB Output is correct
21 Correct 2 ms 1116 KB Output is correct
22 Correct 3 ms 1624 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 500 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 2 ms 1116 KB Output is correct
20 Correct 2 ms 1236 KB Output is correct
21 Correct 2 ms 1116 KB Output is correct
22 Correct 3 ms 1624 KB Output is correct
23 Correct 18 ms 12636 KB Output is correct
24 Correct 19 ms 12632 KB Output is correct
25 Correct 18 ms 12636 KB Output is correct
26 Correct 19 ms 12696 KB Output is correct
27 Correct 19 ms 12744 KB Output is correct
28 Correct 43 ms 20564 KB Output is correct
29 Correct 25 ms 13832 KB Output is correct
30 Correct 82 ms 21284 KB Output is correct
31 Correct 81 ms 24576 KB Output is correct
32 Correct 21 ms 12892 KB Output is correct
33 Correct 30 ms 15696 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 14 ms 1372 KB Output is correct
7 Correct 12 ms 1236 KB Output is correct
8 Correct 61 ms 1584 KB Output is correct
9 Correct 53 ms 1616 KB Output is correct
10 Correct 60 ms 1372 KB Output is correct
11 Correct 78 ms 1628 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 500 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 2 ms 1116 KB Output is correct
20 Correct 2 ms 1236 KB Output is correct
21 Correct 2 ms 1116 KB Output is correct
22 Correct 3 ms 1624 KB Output is correct
23 Correct 18 ms 12636 KB Output is correct
24 Correct 19 ms 12632 KB Output is correct
25 Correct 18 ms 12636 KB Output is correct
26 Correct 19 ms 12696 KB Output is correct
27 Correct 19 ms 12744 KB Output is correct
28 Correct 43 ms 20564 KB Output is correct
29 Correct 25 ms 13832 KB Output is correct
30 Correct 82 ms 21284 KB Output is correct
31 Correct 81 ms 24576 KB Output is correct
32 Correct 21 ms 12892 KB Output is correct
33 Correct 30 ms 15696 KB Output is correct
34 Correct 2 ms 860 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 856 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 14 ms 1372 KB Output is correct
40 Correct 12 ms 1236 KB Output is correct
41 Correct 61 ms 1584 KB Output is correct
42 Correct 53 ms 1616 KB Output is correct
43 Correct 60 ms 1372 KB Output is correct
44 Correct 78 ms 1628 KB Output is correct
45 Correct 20 ms 12640 KB Output is correct
46 Correct 22 ms 12632 KB Output is correct
47 Correct 21 ms 12636 KB Output is correct
48 Correct 22 ms 12708 KB Output is correct
49 Correct 21 ms 12636 KB Output is correct
50 Correct 668 ms 23804 KB Output is correct
51 Correct 520 ms 24420 KB Output is correct
52 Correct 3888 ms 29272 KB Output is correct
53 Correct 3765 ms 28432 KB Output is correct
54 Correct 3321 ms 27748 KB Output is correct
55 Execution timed out 5054 ms 38224 KB Time limit exceeded
56 Halted 0 ms 0 KB -