oj.uz

Submission #701179

# Submission time Handle Problem Language Result Execution time Memory
701179 2023-02-20T11:38:13 Z boris_mihov Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 8504 KB 
#include "towers.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <vector>

typedef long long llong;
const int MAXN = 100000 + 10;
const int MAXLOG = 20;
const int INF  = 1e9;

int n;
int h[MAXN];
int perm[MAXN];
int getLog[MAXN];

struct BIT
{
    int tree[MAXN];
    inline void update(int pos, int val)
    {
        for (int idx = pos ; idx <= n ; idx += idx & (-idx))
        {
            tree[idx] += val;
        }
    }

    inline int query(int pos)
    {
        int ans = 0;
        for (int idx = pos ; idx >= 1 ; idx -= idx & (-idx))
        {
            ans += tree[idx];
        }

        return ans;
    }

    inline int find(int k)
    {
        int pos = 0;
        for (int log = MAXLOG - 1 ; log >= 0 ; --log)
        {
            if (pos + (1 << log) > n) continue;
            if (tree[pos + (1 << log)] < k)
            {
                pos += (1 << log);
                k -= tree[pos];
            }
        }

        return pos + 1;
    }
};

BIT tree;

struct SparseMAX
{
    int sparse[MAXLOG][MAXN];
    void build()
    {
        for (int i = 1 ; i <= n ; ++i)
        {
            sparse[0][i] = h[i];
        }

        for (int log = 1 ; (1 << log) <= n ; ++log)
        {
            for (int i = 1 ; i + (1 << log) - 1 <= n ; ++i)
            {
                sparse[log][i] = std::max(sparse[log - 1][i], sparse[log - 1][i + (1 << log - 1)]);
            }
        }

        for (int i = 1 ; i <= n ; ++i)
        {
            getLog[i] = getLog[i - 1];
            if ((1 << getLog[i] + 1) < i) getLog[i]++;
        }
    }

    inline int findMAX(int l, int r)
    {
        int log = getLog[r - l + 1];
        return std::max(sparse[log][l], sparse[log][r - (1 << log) + 1]);
    }
};

SparseMAX sparse;
void init(int N, std::vector <int> H) 
{   
    n = N;
    for (int i = 0 ; i < n ; ++i)
    {
        h[i + 1] = H[i];
    }

    sparse.build();
}

int max_towers(int l, int r, int d) 
{
    l++; r++;
    std::iota(perm + l, perm + r + 1, l);
    std::sort(perm + l, perm + r + 1, [&](int x, int y)
    {
        return h[x] < h[y];
    });

    int ans = 0;
    for (int i = l ; i <= r ; ++i)
    {
        bool can = true;
        int pos = perm[i];
        
        if (tree.query(pos) != 0)
        {
            int left = tree.find(tree.query(pos));
            if (left == pos - 1 || sparse.findMAX(left + 1, pos - 1) - d < std::max(h[left], h[pos]))
            {
                can = false;
            } 
        }

        if (tree.query(pos) != ans)
        {
            int right = tree.find(tree.query(pos) + 1);
            if (right == pos + 1 || sparse.findMAX(pos + 1, right - 1) - d < std::max(h[pos], h[right]))
            {
                can = false;
            } 
        }

        if (can)
        {
            ans++;
            tree.update(pos, 1);
        }
    }

    return ans;
}

Compilation message

towers.cpp: In member function 'void SparseMAX::build()':
towers.cpp:72:93: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   72 |                 sparse[log][i] = std::max(sparse[log - 1][i], sparse[log - 1][i + (1 << log - 1)]);
      |                                                                                         ~~~~^~~
towers.cpp:79:33: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   79 |             if ((1 << getLog[i] + 1) < i) getLog[i]++;
      |                       ~~~~~~~~~~^~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4070 ms 5024 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 464 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 464 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 464 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 436 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 464 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 464 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 464 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 464 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 436 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 464 KB Output is correct
36 Correct 16 ms 5200 KB Output is correct
37 Correct 27 ms 7988 KB Output is correct
38 Correct 20 ms 7984 KB Output is correct
39 Correct 32 ms 7968 KB Output is correct
40 Correct 19 ms 8008 KB Output is correct
41 Correct 46 ms 8264 KB Output is correct
42 Correct 17 ms 8016 KB Output is correct
43 Correct 19 ms 8008 KB Output is correct
44 Correct 21 ms 7972 KB Output is correct
45 Correct 21 ms 7992 KB Output is correct
46 Correct 23 ms 7956 KB Output is correct
47 Correct 27 ms 7964 KB Output is correct
48 Correct 21 ms 7968 KB Output is correct
49 Correct 19 ms 7976 KB Output is correct
50 Correct 16 ms 7972 KB Output is correct
51 Correct 18 ms 8008 KB Output is correct
52 Correct 52 ms 8384 KB Output is correct
53 Correct 51 ms 8384 KB Output is correct
54 Correct 53 ms 8480 KB Output is correct
55 Correct 26 ms 7988 KB Output is correct
56 Correct 24 ms 8092 KB Output is correct
57 Correct 50 ms 8172 KB Output is correct
58 Correct 52 ms 8360 KB Output is correct
59 Correct 52 ms 8416 KB Output is correct
60 Correct 54 ms 8420 KB Output is correct
61 Correct 51 ms 8332 KB Output is correct
62 Correct 51 ms 8420 KB Output is correct
63 Correct 58 ms 8416 KB Output is correct
64 Correct 22 ms 8008 KB Output is correct
65 Correct 29 ms 7976 KB Output is correct
66 Correct 26 ms 8088 KB Output is correct
67 Correct 23 ms 8008 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4046 ms 8504 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4005 ms 2128 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 464 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 464 KB Output is correct
14 Correct 1 ms 464 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 464 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 464 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 436 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 464 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 464 KB Output is correct
36 Correct 16 ms 5200 KB Output is correct
37 Correct 27 ms 7988 KB Output is correct
38 Correct 20 ms 7984 KB Output is correct
39 Correct 32 ms 7968 KB Output is correct
40 Correct 19 ms 8008 KB Output is correct
41 Correct 46 ms 8264 KB Output is correct
42 Correct 17 ms 8016 KB Output is correct
43 Correct 19 ms 8008 KB Output is correct
44 Correct 21 ms 7972 KB Output is correct
45 Correct 21 ms 7992 KB Output is correct
46 Correct 23 ms 7956 KB Output is correct
47 Correct 27 ms 7964 KB Output is correct
48 Correct 21 ms 7968 KB Output is correct
49 Correct 19 ms 7976 KB Output is correct
50 Correct 16 ms 7972 KB Output is correct
51 Correct 18 ms 8008 KB Output is correct
52 Correct 52 ms 8384 KB Output is correct
53 Correct 51 ms 8384 KB Output is correct
54 Correct 53 ms 8480 KB Output is correct
55 Correct 26 ms 7988 KB Output is correct
56 Correct 24 ms 8092 KB Output is correct
57 Correct 50 ms 8172 KB Output is correct
58 Correct 52 ms 8360 KB Output is correct
59 Correct 52 ms 8416 KB Output is correct
60 Correct 54 ms 8420 KB Output is correct
61 Correct 51 ms 8332 KB Output is correct
62 Correct 51 ms 8420 KB Output is correct
63 Correct 58 ms 8416 KB Output is correct
64 Correct 22 ms 8008 KB Output is correct
65 Correct 29 ms 7976 KB Output is correct
66 Correct 26 ms 8088 KB Output is correct
67 Correct 23 ms 8008 KB Output is correct
68 Execution timed out 4046 ms 8504 KB Time limit exceeded
69 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4070 ms 5024 KB Time limit exceeded
2 Halted 0 ms 0 KB -