oj.uz

Submission #883213

# Submission time Handle Problem Language Result Execution time Memory
883213 2023-12-04T19:37:33 Z MilosMilutinovic Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 36760 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<map<pair<int, int>, bool>> was(4);
  vector<map<pair<int, int>, int>> dp(4);
  function<int(int, int, int)> Solve = [&](int x, int y, int dir) {
    if (dir == 0) {
      if (a[x] < b[y]) {
        return 0;
      }
    }
    if (dir == 1) {
      if (a[x] < b[y]) {
        return 0;
      }
    }
    if (dir == 2) {
      if (a[x] > b[y]) {
        return 0;
      }
    }
    if (dir == 3) {
      if (a[x] > b[y]) {
        return 0;
      }
    }
    pair<int, int> curr = {x, 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;
    int 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 344 KB Output is correct
2 Correct 0 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 868 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 3 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 5 ms 1868 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 868 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 3 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 5 ms 1868 KB Output is correct
23 Correct 18 ms 12796 KB Output is correct
24 Correct 18 ms 12752 KB Output is correct
25 Correct 20 ms 12608 KB Output is correct
26 Correct 22 ms 12592 KB Output is correct
27 Correct 21 ms 12632 KB Output is correct
28 Correct 59 ms 21844 KB Output is correct
29 Correct 21 ms 14108 KB Output is correct
30 Correct 119 ms 24756 KB Output is correct
31 Correct 158 ms 28268 KB Output is correct
32 Correct 24 ms 13208 KB Output is correct
33 Correct 42 ms 16384 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 860 KB Output is correct
2 Correct 3 ms 860 KB Output is correct
3 Correct 3 ms 860 KB Output is correct
4 Correct 3 ms 856 KB Output is correct
5 Correct 3 ms 856 KB Output is correct
6 Correct 26 ms 1432 KB Output is correct
7 Correct 26 ms 1460 KB Output is correct
8 Correct 145 ms 1780 KB Output is correct
9 Correct 154 ms 1832 KB Output is correct
10 Correct 177 ms 1628 KB Output is correct
11 Correct 222 ms 2148 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 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 868 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 3 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 5 ms 1868 KB Output is correct
23 Correct 18 ms 12796 KB Output is correct
24 Correct 18 ms 12752 KB Output is correct
25 Correct 20 ms 12608 KB Output is correct
26 Correct 22 ms 12592 KB Output is correct
27 Correct 21 ms 12632 KB Output is correct
28 Correct 59 ms 21844 KB Output is correct
29 Correct 21 ms 14108 KB Output is correct
30 Correct 119 ms 24756 KB Output is correct
31 Correct 158 ms 28268 KB Output is correct
32 Correct 24 ms 13208 KB Output is correct
33 Correct 42 ms 16384 KB Output is correct
34 Correct 3 ms 860 KB Output is correct
35 Correct 3 ms 860 KB Output is correct
36 Correct 3 ms 860 KB Output is correct
37 Correct 3 ms 856 KB Output is correct
38 Correct 3 ms 856 KB Output is correct
39 Correct 26 ms 1432 KB Output is correct
40 Correct 26 ms 1460 KB Output is correct
41 Correct 145 ms 1780 KB Output is correct
42 Correct 154 ms 1832 KB Output is correct
43 Correct 177 ms 1628 KB Output is correct
44 Correct 222 ms 2148 KB Output is correct
45 Correct 22 ms 12632 KB Output is correct
46 Correct 22 ms 12636 KB Output is correct
47 Correct 22 ms 12636 KB Output is correct
48 Correct 23 ms 12636 KB Output is correct
49 Correct 23 ms 12632 KB Output is correct
50 Correct 1448 ms 25368 KB Output is correct
51 Correct 1123 ms 27204 KB Output is correct
52 Execution timed out 5047 ms 36760 KB Time limit exceeded
53 Halted 0 ms 0 KB -