oj.uz

Submission #883217

# Submission time Handle Problem Language Result Execution time Memory
883217 2023-12-04T19:43:31 Z MilosMilutinovic Abduction 2 (JOI17_abduction2) C++14
44 / 100
 5000 ms 31064 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<int, bool>> was(4);
  vector<map<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;
      }
    }
    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;
    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 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 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 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 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 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 4 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1116 KB Output is correct
22 Correct 5 ms 1628 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 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 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 4 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1116 KB Output is correct
22 Correct 5 ms 1628 KB Output is correct
23 Correct 23 ms 12624 KB Output is correct
24 Correct 19 ms 12636 KB Output is correct
25 Correct 18 ms 12636 KB Output is correct
26 Correct 20 ms 12632 KB Output is correct
27 Correct 19 ms 12788 KB Output is correct
28 Correct 48 ms 20828 KB Output is correct
29 Correct 23 ms 13928 KB Output is correct
30 Correct 101 ms 22288 KB Output is correct
31 Correct 131 ms 25172 KB Output is correct
32 Correct 21 ms 13148 KB Output is correct
33 Correct 37 ms 15632 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 856 KB Output is correct
2 Correct 2 ms 900 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 25 ms 1372 KB Output is correct
7 Correct 23 ms 1372 KB Output is correct
8 Correct 128 ms 1624 KB Output is correct
9 Correct 142 ms 1660 KB Output is correct
10 Correct 156 ms 1628 KB Output is correct
11 Correct 208 ms 1872 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 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 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 4 ms 1116 KB Output is correct
20 Correct 4 ms 1372 KB Output is correct
21 Correct 3 ms 1116 KB Output is correct
22 Correct 5 ms 1628 KB Output is correct
23 Correct 23 ms 12624 KB Output is correct
24 Correct 19 ms 12636 KB Output is correct
25 Correct 18 ms 12636 KB Output is correct
26 Correct 20 ms 12632 KB Output is correct
27 Correct 19 ms 12788 KB Output is correct
28 Correct 48 ms 20828 KB Output is correct
29 Correct 23 ms 13928 KB Output is correct
30 Correct 101 ms 22288 KB Output is correct
31 Correct 131 ms 25172 KB Output is correct
32 Correct 21 ms 13148 KB Output is correct
33 Correct 37 ms 15632 KB Output is correct
34 Correct 3 ms 856 KB Output is correct
35 Correct 2 ms 900 KB Output is correct
36 Correct 2 ms 860 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 25 ms 1372 KB Output is correct
40 Correct 23 ms 1372 KB Output is correct
41 Correct 128 ms 1624 KB Output is correct
42 Correct 142 ms 1660 KB Output is correct
43 Correct 156 ms 1628 KB Output is correct
44 Correct 208 ms 1872 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 12632 KB Output is correct
48 Correct 22 ms 12636 KB Output is correct
49 Correct 23 ms 12628 KB Output is correct
50 Correct 1271 ms 23888 KB Output is correct
51 Correct 1067 ms 24492 KB Output is correct
52 Execution timed out 5064 ms 31064 KB Time limit exceeded
53 Halted 0 ms 0 KB -