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Submission #1003421

# Submission time Handle Problem Language Result Execution time Memory
1003421 2024-06-20T10:05:41 Z vjudge1 Flooding Wall (BOI24_wall) C++17
56 / 100
 2533 ms 1048576 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define all(x) x.begin(), x.end()

const int N = 5e5+5, mod = 1e9+7;

int n, mx, a[N], b[N], c[N], pre2[N], suf2[N];
vector<int> pre[N], suf[N];

int pw(int x, int y) {
  return (!y ? 1 : pw(x*x % mod, y/2) * (y%2 ? x : 1) % mod);
}

signed main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n;
  mx = 1;
  for (int i = 0; i < n; i++) {
    cin >> a[i];
  }
  for (int i = 0; i < n; i++) {
    cin >> b[i];
    if (a[i] > b[i]) swap(a[i], b[i]);
    mx = max(mx, b[i]);
  }

  if (n <= 20) {
    int ans = 0;
    for (int mask = 0; mask < (1 << n); mask++) {
      for (int i = 0; i < n; i++) {
        c[i] = a[i];

        if ((mask >> i) & 1) c[i] = b[i];
      }

      for (int i = 0; i < n; i++) {
        pre2[i] = max((i ? pre2[i-1] : 1), c[i]);
      }

      for (int i = n-1; i >= 0; i--) {
        suf2[i] = max((i+1 < n ? suf2[i+1] : 1), c[i]);
      }

      for (int i = 1; i < n-1; i++) {
        if (c[i] < min(pre2[i-1], suf2[i+1])) {
          ans += min(pre2[i-1], suf2[i+1]) - c[i];
          ans %= mod;
        }
      }
    }

    cout << ans << "\n";
  }
  else {
    for (int i = 0; i < n; i++) {
      pre[i].resize(mx+1);
      suf[i].resize(mx+1);
    }

    for (int i = 0; i < n; i++) {
      for (int j = 0; j <= mx; j++) {
        pre[i][j] = (i ? pre[i-1][j] : 1);
        
        if (b[i] <= j) {
          pre[i][j] *= 2;
          pre[i][j] %= mod;
        }
        else if (a[i] > j) pre[i][j] = 0;
      }
    }

    for (int i = n-1; i >= 0; i--) {
      for (int j = 0; j <= mx; j++) {
        suf[i][j] = (i+1 < n ? suf[i+1][j] : 1);
        
        if (b[i] <= j) {
          suf[i][j] *= 2;
          suf[i][j] %= mod;
        }
        else if (a[i] > j) suf[i][j] = 0;
      }
    }

    int ans = 0;
    for (int i = 1; i < n-1; i++) {
      for (int j = 1; j <= mx; j++) {
        int x = 0;

        x += pw(2, n-1-i) * pre[i-1][j-1] % mod;
        x %= mod;

        x += pw(2, i) * suf[i+1][j-1] % mod;
        x %= mod;

        x = (x - pre[i-1][j-1] * suf[i+1][j-1] % mod + mod) % mod;
        
        //cerr << i << " " << j << " " << x << endl;

        if (a[i] < j) {
          ans += (pw(2, n-1) - x + mod) % mod;
          ans %= mod;
        }

        if (b[i] < j) {
          ans += (pw(2, n-1) - x + mod) % mod;
          ans %= mod;
        }
      }
    }

    cout << ans << "\n";
  }
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 23944 KB Output is correct
2 Correct 9 ms 23988 KB Output is correct
3 Correct 9 ms 23796 KB Output is correct
4 Correct 8 ms 23932 KB Output is correct
5 Correct 8 ms 23900 KB Output is correct
6 Correct 9 ms 23756 KB Output is correct
7 Correct 9 ms 23900 KB Output is correct
8 Correct 9 ms 23892 KB Output is correct
9 Correct 9 ms 23896 KB Output is correct
10 Correct 8 ms 23900 KB Output is correct
11 Correct 112 ms 23900 KB Output is correct
12 Correct 11 ms 23900 KB Output is correct
13 Correct 172 ms 23956 KB Output is correct
14 Correct 12 ms 23896 KB Output is correct
15 Correct 120 ms 23900 KB Output is correct
16 Correct 116 ms 23900 KB Output is correct
17 Correct 129 ms 23956 KB Output is correct
18 Correct 11 ms 23900 KB Output is correct
19 Correct 9 ms 23780 KB Output is correct
20 Correct 23 ms 23900 KB Output is correct
21 Correct 121 ms 23960 KB Output is correct
22 Correct 67 ms 23964 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 23900 KB Output is correct
2 Correct 9 ms 23900 KB Output is correct
3 Correct 9 ms 23900 KB Output is correct
4 Correct 9 ms 23964 KB Output is correct
5 Correct 9 ms 23896 KB Output is correct
6 Correct 9 ms 23900 KB Output is correct
7 Correct 9 ms 23788 KB Output is correct
8 Correct 9 ms 23900 KB Output is correct
9 Correct 9 ms 23748 KB Output is correct
10 Correct 9 ms 23900 KB Output is correct
11 Correct 165 ms 23896 KB Output is correct
12 Correct 14 ms 23896 KB Output is correct
13 Correct 140 ms 23900 KB Output is correct
14 Correct 9 ms 23900 KB Output is correct
15 Correct 16 ms 25372 KB Output is correct
16 Correct 16 ms 25436 KB Output is correct
17 Correct 9 ms 23900 KB Output is correct
18 Correct 9 ms 23900 KB Output is correct
19 Correct 9 ms 23776 KB Output is correct
20 Correct 14 ms 25436 KB Output is correct
21 Correct 18 ms 25408 KB Output is correct
22 Correct 9 ms 23908 KB Output is correct
23 Correct 14 ms 25284 KB Output is correct
24 Correct 19 ms 25180 KB Output is correct
25 Correct 22 ms 25436 KB Output is correct
26 Correct 17 ms 25492 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 23900 KB Output is correct
2 Correct 9 ms 23900 KB Output is correct
3 Correct 9 ms 23900 KB Output is correct
4 Correct 9 ms 23964 KB Output is correct
5 Correct 9 ms 23896 KB Output is correct
6 Correct 9 ms 23900 KB Output is correct
7 Correct 9 ms 23788 KB Output is correct
8 Correct 9 ms 23900 KB Output is correct
9 Correct 9 ms 23748 KB Output is correct
10 Correct 9 ms 23900 KB Output is correct
11 Correct 165 ms 23896 KB Output is correct
12 Correct 14 ms 23896 KB Output is correct
13 Correct 140 ms 23900 KB Output is correct
14 Correct 9 ms 23900 KB Output is correct
15 Correct 16 ms 25372 KB Output is correct
16 Correct 16 ms 25436 KB Output is correct
17 Correct 9 ms 23900 KB Output is correct
18 Correct 9 ms 23900 KB Output is correct
19 Correct 9 ms 23776 KB Output is correct
20 Correct 14 ms 25436 KB Output is correct
21 Correct 18 ms 25408 KB Output is correct
22 Correct 9 ms 23908 KB Output is correct
23 Correct 14 ms 25284 KB Output is correct
24 Correct 19 ms 25180 KB Output is correct
25 Correct 22 ms 25436 KB Output is correct
26 Correct 17 ms 25492 KB Output is correct
27 Correct 2047 ms 180828 KB Output is correct
28 Correct 1926 ms 180972 KB Output is correct
29 Correct 14 ms 24668 KB Output is correct
30 Correct 14 ms 24792 KB Output is correct
31 Correct 30 ms 25948 KB Output is correct
32 Correct 1245 ms 181064 KB Output is correct
33 Correct 2533 ms 180388 KB Output is correct
34 Correct 29 ms 25944 KB Output is correct
35 Correct 1271 ms 180976 KB Output is correct
36 Correct 2514 ms 180816 KB Output is correct
37 Correct 13 ms 24668 KB Output is correct
38 Correct 13 ms 24792 KB Output is correct
39 Correct 30 ms 25948 KB Output is correct
40 Correct 29 ms 25948 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 23944 KB Output is correct
2 Correct 9 ms 23988 KB Output is correct
3 Correct 9 ms 23796 KB Output is correct
4 Correct 8 ms 23932 KB Output is correct
5 Correct 8 ms 23900 KB Output is correct
6 Correct 9 ms 23756 KB Output is correct
7 Correct 9 ms 23900 KB Output is correct
8 Correct 9 ms 23892 KB Output is correct
9 Correct 9 ms 23896 KB Output is correct
10 Correct 8 ms 23900 KB Output is correct
11 Correct 112 ms 23900 KB Output is correct
12 Correct 11 ms 23900 KB Output is correct
13 Correct 172 ms 23956 KB Output is correct
14 Correct 12 ms 23896 KB Output is correct
15 Correct 120 ms 23900 KB Output is correct
16 Correct 116 ms 23900 KB Output is correct
17 Correct 129 ms 23956 KB Output is correct
18 Correct 11 ms 23900 KB Output is correct
19 Correct 9 ms 23780 KB Output is correct
20 Correct 23 ms 23900 KB Output is correct
21 Correct 121 ms 23960 KB Output is correct
22 Correct 67 ms 23964 KB Output is correct
23 Correct 9 ms 23900 KB Output is correct
24 Correct 9 ms 23900 KB Output is correct
25 Correct 9 ms 23900 KB Output is correct
26 Correct 9 ms 23964 KB Output is correct
27 Correct 9 ms 23896 KB Output is correct
28 Correct 9 ms 23900 KB Output is correct
29 Correct 9 ms 23788 KB Output is correct
30 Correct 9 ms 23900 KB Output is correct
31 Correct 9 ms 23748 KB Output is correct
32 Correct 9 ms 23900 KB Output is correct
33 Correct 165 ms 23896 KB Output is correct
34 Correct 14 ms 23896 KB Output is correct
35 Correct 140 ms 23900 KB Output is correct
36 Correct 9 ms 23900 KB Output is correct
37 Correct 16 ms 25372 KB Output is correct
38 Correct 16 ms 25436 KB Output is correct
39 Correct 9 ms 23900 KB Output is correct
40 Correct 9 ms 23900 KB Output is correct
41 Correct 9 ms 23776 KB Output is correct
42 Correct 14 ms 25436 KB Output is correct
43 Correct 18 ms 25408 KB Output is correct
44 Correct 9 ms 23908 KB Output is correct
45 Correct 14 ms 25284 KB Output is correct
46 Correct 19 ms 25180 KB Output is correct
47 Correct 22 ms 25436 KB Output is correct
48 Correct 17 ms 25492 KB Output is correct
49 Correct 2047 ms 180828 KB Output is correct
50 Correct 1926 ms 180972 KB Output is correct
51 Correct 14 ms 24668 KB Output is correct
52 Correct 14 ms 24792 KB Output is correct
53 Correct 30 ms 25948 KB Output is correct
54 Correct 1245 ms 181064 KB Output is correct
55 Correct 2533 ms 180388 KB Output is correct
56 Correct 29 ms 25944 KB Output is correct
57 Correct 1271 ms 180976 KB Output is correct
58 Correct 2514 ms 180816 KB Output is correct
59 Correct 13 ms 24668 KB Output is correct
60 Correct 13 ms 24792 KB Output is correct
61 Correct 30 ms 25948 KB Output is correct
62 Correct 29 ms 25948 KB Output is correct
63 Runtime error 463 ms 1048576 KB Execution killed with signal 9
64 Halted 0 ms 0 KB -

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23896 KB Output is correct
2 Correct 11 ms 23900 KB Output is correct
3 Correct 9 ms 23900 KB Output is correct
4 Correct 9 ms 23776 KB Output is correct
5 Correct 10 ms 23900 KB Output is correct
6 Correct 149 ms 23948 KB Output is correct
7 Correct 17 ms 23900 KB Output is correct
8 Correct 10 ms 23896 KB Output is correct
9 Correct 10 ms 23900 KB Output is correct
10 Correct 13 ms 24788 KB Output is correct
11 Correct 14 ms 24664 KB Output is correct
12 Correct 14 ms 24668 KB Output is correct
13 Correct 14 ms 24668 KB Output is correct
14 Correct 335 ms 64844 KB Output is correct
15 Correct 361 ms 65072 KB Output is correct
16 Correct 323 ms 64848 KB Output is correct
17 Correct 342 ms 65104 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 23944 KB Output is correct
2 Correct 9 ms 23988 KB Output is correct
3 Correct 9 ms 23796 KB Output is correct
4 Correct 8 ms 23932 KB Output is correct
5 Correct 8 ms 23900 KB Output is correct
6 Correct 9 ms 23756 KB Output is correct
7 Correct 9 ms 23900 KB Output is correct
8 Correct 9 ms 23892 KB Output is correct
9 Correct 9 ms 23896 KB Output is correct
10 Correct 8 ms 23900 KB Output is correct
11 Correct 112 ms 23900 KB Output is correct
12 Correct 11 ms 23900 KB Output is correct
13 Correct 172 ms 23956 KB Output is correct
14 Correct 12 ms 23896 KB Output is correct
15 Correct 120 ms 23900 KB Output is correct
16 Correct 116 ms 23900 KB Output is correct
17 Correct 129 ms 23956 KB Output is correct
18 Correct 11 ms 23900 KB Output is correct
19 Correct 9 ms 23780 KB Output is correct
20 Correct 23 ms 23900 KB Output is correct
21 Correct 121 ms 23960 KB Output is correct
22 Correct 67 ms 23964 KB Output is correct
23 Correct 9 ms 23900 KB Output is correct
24 Correct 9 ms 23900 KB Output is correct
25 Correct 9 ms 23900 KB Output is correct
26 Correct 9 ms 23964 KB Output is correct
27 Correct 9 ms 23896 KB Output is correct
28 Correct 9 ms 23900 KB Output is correct
29 Correct 9 ms 23788 KB Output is correct
30 Correct 9 ms 23900 KB Output is correct
31 Correct 9 ms 23748 KB Output is correct
32 Correct 9 ms 23900 KB Output is correct
33 Correct 165 ms 23896 KB Output is correct
34 Correct 14 ms 23896 KB Output is correct
35 Correct 140 ms 23900 KB Output is correct
36 Correct 9 ms 23900 KB Output is correct
37 Correct 16 ms 25372 KB Output is correct
38 Correct 16 ms 25436 KB Output is correct
39 Correct 9 ms 23900 KB Output is correct
40 Correct 9 ms 23900 KB Output is correct
41 Correct 9 ms 23776 KB Output is correct
42 Correct 14 ms 25436 KB Output is correct
43 Correct 18 ms 25408 KB Output is correct
44 Correct 9 ms 23908 KB Output is correct
45 Correct 14 ms 25284 KB Output is correct
46 Correct 19 ms 25180 KB Output is correct
47 Correct 22 ms 25436 KB Output is correct
48 Correct 17 ms 25492 KB Output is correct
49 Correct 2047 ms 180828 KB Output is correct
50 Correct 1926 ms 180972 KB Output is correct
51 Correct 14 ms 24668 KB Output is correct
52 Correct 14 ms 24792 KB Output is correct
53 Correct 30 ms 25948 KB Output is correct
54 Correct 1245 ms 181064 KB Output is correct
55 Correct 2533 ms 180388 KB Output is correct
56 Correct 29 ms 25944 KB Output is correct
57 Correct 1271 ms 180976 KB Output is correct
58 Correct 2514 ms 180816 KB Output is correct
59 Correct 13 ms 24668 KB Output is correct
60 Correct 13 ms 24792 KB Output is correct
61 Correct 30 ms 25948 KB Output is correct
62 Correct 29 ms 25948 KB Output is correct
63 Runtime error 463 ms 1048576 KB Execution killed with signal 9
64 Halted 0 ms 0 KB -