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Submission #838724

# Submission time Handle Problem Language Result Execution time Memory
838724 2023-08-27T16:10:28 Z erekle Radio Towers (IOI22_towers) C++17
56 / 100
 874 ms 13896 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;

    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;

    // 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 333 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 0 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 844 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 644 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 0 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 844 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 644 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 22 ms 8396 KB Output is correct
37 Correct 26 ms 9576 KB Output is correct
38 Correct 27 ms 11332 KB Output is correct
39 Correct 22 ms 8912 KB Output is correct
40 Correct 28 ms 13068 KB Output is correct
41 Correct 28 ms 11204 KB Output is correct
42 Correct 33 ms 13756 KB Output is correct
43 Correct 22 ms 8912 KB Output is correct
44 Correct 21 ms 8804 KB Output is correct
45 Correct 20 ms 8776 KB Output is correct
46 Correct 23 ms 9152 KB Output is correct
47 Correct 33 ms 13252 KB Output is correct
48 Correct 27 ms 13696 KB Output is correct
49 Correct 27 ms 13796 KB Output is correct
50 Correct 19 ms 8784 KB Output is correct
51 Correct 25 ms 8912 KB Output is correct
52 Correct 34 ms 13200 KB Output is correct
53 Correct 28 ms 13756 KB Output is correct
54 Correct 28 ms 13684 KB Output is correct
55 Correct 25 ms 8912 KB Output is correct
56 Correct 23 ms 9496 KB Output is correct
57 Correct 30 ms 10068 KB Output is correct
58 Correct 27 ms 10944 KB Output is correct
59 Correct 32 ms 11580 KB Output is correct
60 Correct 30 ms 13736 KB Output is correct
61 Correct 28 ms 13124 KB Output is correct
62 Correct 26 ms 11708 KB Output is correct
63 Correct 28 ms 13124 KB Output is correct
64 Correct 26 ms 8872 KB Output is correct
65 Correct 26 ms 8960 KB Output is correct
66 Correct 23 ms 8912 KB Output is correct
67 Correct 21 ms 8912 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 629 ms 13256 KB Output is correct
2 Correct 672 ms 13244 KB Output is correct
3 Correct 791 ms 13252 KB Output is correct
4 Correct 690 ms 13756 KB Output is correct
5 Correct 731 ms 13764 KB Output is correct
6 Correct 874 ms 13756 KB Output is correct
7 Correct 754 ms 13880 KB Output is correct
8 Correct 635 ms 8784 KB Output is correct
9 Correct 770 ms 8784 KB Output is correct
10 Correct 651 ms 8984 KB Output is correct
11 Correct 562 ms 13896 KB Output is correct
12 Correct 684 ms 10084 KB Output is correct
13 Correct 707 ms 8912 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 1 ms 592 KB Output is correct
17 Correct 28 ms 13244 KB Output is correct
18 Correct 33 ms 13740 KB Output is correct
19 Correct 27 ms 13752 KB Output is correct
20 Correct 20 ms 8912 KB Output is correct
21 Correct 24 ms 8912 KB Output is correct
22 Correct 30 ms 13284 KB Output is correct
23 Correct 28 ms 13736 KB Output is correct
24 Correct 33 ms 13756 KB Output is correct
25 Correct 20 ms 8868 KB Output is correct
26 Correct 25 ms 9668 KB Output is correct
27 Correct 1 ms 720 KB Output is correct
28 Correct 1 ms 720 KB Output is correct
29 Correct 1 ms 720 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 720 KB Output is correct
34 Correct 1 ms 720 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 1 ms 592 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 178 ms 3404 KB 2nd lines differ - on the 1st token, expected: '7063', found: '7197'
2 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 844 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 644 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 22 ms 8396 KB Output is correct
37 Correct 26 ms 9576 KB Output is correct
38 Correct 27 ms 11332 KB Output is correct
39 Correct 22 ms 8912 KB Output is correct
40 Correct 28 ms 13068 KB Output is correct
41 Correct 28 ms 11204 KB Output is correct
42 Correct 33 ms 13756 KB Output is correct
43 Correct 22 ms 8912 KB Output is correct
44 Correct 21 ms 8804 KB Output is correct
45 Correct 20 ms 8776 KB Output is correct
46 Correct 23 ms 9152 KB Output is correct
47 Correct 33 ms 13252 KB Output is correct
48 Correct 27 ms 13696 KB Output is correct
49 Correct 27 ms 13796 KB Output is correct
50 Correct 19 ms 8784 KB Output is correct
51 Correct 25 ms 8912 KB Output is correct
52 Correct 34 ms 13200 KB Output is correct
53 Correct 28 ms 13756 KB Output is correct
54 Correct 28 ms 13684 KB Output is correct
55 Correct 25 ms 8912 KB Output is correct
56 Correct 23 ms 9496 KB Output is correct
57 Correct 30 ms 10068 KB Output is correct
58 Correct 27 ms 10944 KB Output is correct
59 Correct 32 ms 11580 KB Output is correct
60 Correct 30 ms 13736 KB Output is correct
61 Correct 28 ms 13124 KB Output is correct
62 Correct 26 ms 11708 KB Output is correct
63 Correct 28 ms 13124 KB Output is correct
64 Correct 26 ms 8872 KB Output is correct
65 Correct 26 ms 8960 KB Output is correct
66 Correct 23 ms 8912 KB Output is correct
67 Correct 21 ms 8912 KB Output is correct
68 Correct 629 ms 13256 KB Output is correct
69 Correct 672 ms 13244 KB Output is correct
70 Correct 791 ms 13252 KB Output is correct
71 Correct 690 ms 13756 KB Output is correct
72 Correct 731 ms 13764 KB Output is correct
73 Correct 874 ms 13756 KB Output is correct
74 Correct 754 ms 13880 KB Output is correct
75 Correct 635 ms 8784 KB Output is correct
76 Correct 770 ms 8784 KB Output is correct
77 Correct 651 ms 8984 KB Output is correct
78 Correct 562 ms 13896 KB Output is correct
79 Correct 684 ms 10084 KB Output is correct
80 Correct 707 ms 8912 KB Output is correct
81 Correct 1 ms 336 KB Output is correct
82 Correct 1 ms 592 KB Output is correct
83 Correct 1 ms 592 KB Output is correct
84 Correct 28 ms 13244 KB Output is correct
85 Correct 33 ms 13740 KB Output is correct
86 Correct 27 ms 13752 KB Output is correct
87 Correct 20 ms 8912 KB Output is correct
88 Correct 24 ms 8912 KB Output is correct
89 Correct 30 ms 13284 KB Output is correct
90 Correct 28 ms 13736 KB Output is correct
91 Correct 33 ms 13756 KB Output is correct
92 Correct 20 ms 8868 KB Output is correct
93 Correct 25 ms 9668 KB Output is correct
94 Correct 1 ms 720 KB Output is correct
95 Correct 1 ms 720 KB Output is correct
96 Correct 1 ms 720 KB Output is correct
97 Correct 1 ms 592 KB Output is correct
98 Correct 1 ms 592 KB Output is correct
99 Correct 1 ms 592 KB Output is correct
100 Correct 1 ms 720 KB Output is correct
101 Correct 1 ms 720 KB Output is correct
102 Correct 1 ms 592 KB Output is correct
103 Correct 1 ms 592 KB Output is correct
104 Correct 600 ms 10992 KB Output is correct
105 Correct 792 ms 11588 KB Output is correct
106 Correct 700 ms 10568 KB Output is correct
107 Correct 672 ms 12216 KB Output is correct
108 Correct 847 ms 9008 KB Output is correct
109 Correct 631 ms 11720 KB Output is correct
110 Correct 847 ms 13760 KB Output is correct
111 Correct 561 ms 8784 KB Output is correct
112 Correct 853 ms 8912 KB Output is correct
113 Correct 729 ms 9008 KB Output is correct
114 Correct 676 ms 10036 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 333 ms 5988 KB 31st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -