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Submission #838723

# Submission time Handle Problem Language Result Execution time Memory
838723 2023-08-27T16:08:54 Z erekle Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 13784 KB 
#include "towers.h"
#include <vector>
#include <algorithm>

using namespace std;

int n;
vector<int> H;

const int MX_N = 1e5, LG = 17;
int rmq[1+LG][MX_N];
int p2[MX_N];
int rangeMin(int l, int r) {
    int p = p2[r-l+1];
    return min(rmq[p][l], rmq[p][r-(1<<p)+1]);
}

void init(int N, vector<int> Hs) {
    for (int i = 2; i <= N; ++i) p2[i] = p2[i-1] + !(i & (i-1));

    n = N, H = Hs;
    // rmq
    for (int i = 0; i < n; ++i) rmq[0][i] = H[i];
    for (int i = 1, p = 1; i <= LG; ++i, p <<= 1) {
        for (int j = 0; j < n; ++j) {
            if (j+p >= n) rmq[i][j] = rmq[i-1][j];
            else rmq[i][j] = min(rmq[i-1][j], rmq[i-1][j+p]);
        }
    }
}

vector<pair<int, int>> blocks;
int nxt[1+LG][1+MX_N]; // binary lifting - next block

void init2(int D) {
    vector<pair<int, int>> b;
    for (int i = 0; i < n; ++i) {
        int L, R;
        { // find closest before
            int left = -1, right = i;
            while (left+1 < right) {
                int mid = (left + right) / 2;
                if (rangeMin(mid, i-1) <= H[i]-D) left = mid;
                else right = mid;
            }
            L = left;
        }
        { // find closest after
            int left = i, right = n;
            while (left+1 < right) {
                int mid = (left + right) / 2;
                if (rangeMin(i+1, mid) <= H[i]-D) right = mid;
                else left = mid;
            }
            R = right;
        }
        if (0 <= L && R < n) b.emplace_back(L, R);
    }

    // erase blocks with other blocks inside them
    sort(b.begin(), b.end());
    for (int i = (int)b.size()-1, minEnd = n; i >= 0; --i) {
        if (b[i].second < minEnd) minEnd = b[i].second, blocks.push_back(b[i]);
    }
    reverse(blocks.begin(), blocks.end());

    // find next block for each block
    for (size_t i = 0, j = 0; i < blocks.size(); ++i) {
        while (j < blocks.size() && blocks[j].first < blocks[i].second) ++j;
        nxt[0][i] = j;
    }
    nxt[0][blocks.size()] = blocks.size();

    // build binary lifting
    for (int i = 1; i <= LG; ++i) {
        for (int j = 0; j <= (int)blocks.size(); ++j) nxt[i][j] = nxt[i-1][nxt[i-1][j]];
    }
}

bool hadQuery = false;
int max_towers(int L, int R, int D) { // case: constant D
    if (!hadQuery) init2(D), hadQuery = true;
    // else return 0;

    int firstBlock = lower_bound(blocks.begin(), blocks.end(), pair<int, int>{L, 0}) - blocks.begin();
    if (firstBlock == (int)blocks.size() || blocks[firstBlock].second > R) return 1;

    int moves = 0;
    for (int i = firstBlock; i < (int)blocks.size() && blocks[i].second <= R; ++i) {
        if (blocks[firstBlock].second <= blocks[i].first) {
            firstBlock = i;
            ++moves;
        }
    }

    // // find furthest descendant of firstBlock that ends before R
    // int lastBlock = firstBlock;
    // int moves = 0;
    // for (int i = LG; i >= 0; --i) {
    //     int b = nxt[i][lastBlock];
    //     if (b < (int)blocks.size() && blocks[b].second <= R) lastBlock = b, moves += 1 << i;
    // }
    return moves + 2; // moves + 1 blocks, so moves + 2 gaps between and around blocks
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 322 ms 5988 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 720 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 720 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 720 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 720 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 18 ms 8472 KB Output is correct
37 Correct 30 ms 9632 KB Output is correct
38 Correct 34 ms 11304 KB Output is correct
39 Correct 21 ms 8904 KB Output is correct
40 Correct 31 ms 13020 KB Output is correct
41 Correct 25 ms 11180 KB Output is correct
42 Correct 28 ms 13752 KB Output is correct
43 Correct 21 ms 8848 KB Output is correct
44 Correct 21 ms 8880 KB Output is correct
45 Correct 25 ms 8912 KB Output is correct
46 Correct 23 ms 9244 KB Output is correct
47 Correct 31 ms 13184 KB Output is correct
48 Correct 35 ms 13744 KB Output is correct
49 Correct 32 ms 13784 KB Output is correct
50 Correct 20 ms 8868 KB Output is correct
51 Correct 23 ms 8868 KB Output is correct
52 Correct 29 ms 13208 KB Output is correct
53 Correct 30 ms 13760 KB Output is correct
54 Correct 29 ms 13740 KB Output is correct
55 Correct 21 ms 8776 KB Output is correct
56 Correct 24 ms 9480 KB Output is correct
57 Correct 27 ms 10032 KB Output is correct
58 Correct 28 ms 10928 KB Output is correct
59 Correct 29 ms 11604 KB Output is correct
60 Correct 32 ms 13728 KB Output is correct
61 Correct 30 ms 13132 KB Output is correct
62 Correct 27 ms 11748 KB Output is correct
63 Correct 30 ms 13200 KB Output is correct
64 Correct 21 ms 8912 KB Output is correct
65 Correct 23 ms 8860 KB Output is correct
66 Correct 24 ms 8992 KB Output is correct
67 Correct 26 ms 8896 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 3086 ms 13240 KB Output is correct
2 Execution timed out 4014 ms 13244 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 622 ms 3404 KB 2nd lines differ - on the 1st token, expected: '7063', found: '7197'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 592 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 1 ms 720 KB Output is correct
5 Correct 1 ms 592 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 1 ms 592 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 1 ms 720 KB Output is correct
17 Correct 1 ms 720 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 592 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 1 ms 720 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 1 ms 592 KB Output is correct
29 Correct 1 ms 592 KB Output is correct
30 Correct 1 ms 592 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 1 ms 592 KB Output is correct
34 Correct 1 ms 592 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 18 ms 8472 KB Output is correct
37 Correct 30 ms 9632 KB Output is correct
38 Correct 34 ms 11304 KB Output is correct
39 Correct 21 ms 8904 KB Output is correct
40 Correct 31 ms 13020 KB Output is correct
41 Correct 25 ms 11180 KB Output is correct
42 Correct 28 ms 13752 KB Output is correct
43 Correct 21 ms 8848 KB Output is correct
44 Correct 21 ms 8880 KB Output is correct
45 Correct 25 ms 8912 KB Output is correct
46 Correct 23 ms 9244 KB Output is correct
47 Correct 31 ms 13184 KB Output is correct
48 Correct 35 ms 13744 KB Output is correct
49 Correct 32 ms 13784 KB Output is correct
50 Correct 20 ms 8868 KB Output is correct
51 Correct 23 ms 8868 KB Output is correct
52 Correct 29 ms 13208 KB Output is correct
53 Correct 30 ms 13760 KB Output is correct
54 Correct 29 ms 13740 KB Output is correct
55 Correct 21 ms 8776 KB Output is correct
56 Correct 24 ms 9480 KB Output is correct
57 Correct 27 ms 10032 KB Output is correct
58 Correct 28 ms 10928 KB Output is correct
59 Correct 29 ms 11604 KB Output is correct
60 Correct 32 ms 13728 KB Output is correct
61 Correct 30 ms 13132 KB Output is correct
62 Correct 27 ms 11748 KB Output is correct
63 Correct 30 ms 13200 KB Output is correct
64 Correct 21 ms 8912 KB Output is correct
65 Correct 23 ms 8860 KB Output is correct
66 Correct 24 ms 8992 KB Output is correct
67 Correct 26 ms 8896 KB Output is correct
68 Correct 3086 ms 13240 KB Output is correct
69 Execution timed out 4014 ms 13244 KB Time limit exceeded
70 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 322 ms 5988 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -