Submission #705666

# Submission time Handle Problem Language Result Execution time Memory
705666 2023-03-04T23:32:18 Z danikoynov Radio Towers (IOI22_towers) C++17
27 / 100
4000 ms 21060 KB
#include "towers.h"

#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e5 + 10;

int n, h[maxn], pref[maxn], peak_pos;
int cnt = 0;


int par[maxn], rnk[maxn];

int find_leader(int v)
{
    return (v == par[v]) ? v : par[v] = find_leader(par[v]);
}

void unite(int v, int u)
{
    v = find_leader(v);
    u = find_leader(u);
    if (v == u)
        return;

    if (rnk[v] < rnk[u])
        swap(v, u);
    rnk[v] += rnk[u];
    par[u] = v;
}

int dp[maxn], bef[maxn], aft[maxn];


struct node
{
    int max_number, min_number;

    node(int _max_number = 0, int _min_number = 2e9)
    {
        max_number = _max_number;
        min_number = _min_number;
    }
};

node tree[4 * maxn];
node merge_node(node left, node right)
{
    node comb;
    comb.max_number = max(left.max_number, right.max_number);
    comb.min_number = min(left.min_number, right.min_number);
    return comb;
}
void build_tree(int root, int left, int right)
{
    if (left == right)
    {
        tree[root] = node(h[left], h[left]);
        return;
    }

    int mid = (left + right) / 2;
    build_tree(root * 2, left, mid);
    build_tree(root * 2 + 1, mid + 1, right);

    tree[root] = merge_node(tree[root * 2], tree[root * 2 + 1]);
}
void update(int root, int left, int right, int pos, int val)
{
    if (left == right)
    {
        tree[root] = val;
        return;
    }

    int mid = (left + right) / 2;
    if (pos <= mid)
        update(root * 2, left, mid, pos, val);
    else
        update(root * 2 + 1, mid + 1, right, pos, val);

    tree[root] = merge_node(tree[root * 2], tree[root * 2 + 1]);
}

node query(int root, int left, int right, int qleft, int qright)
{
    if (left > qright || right < qleft)
        return 0;

    if (left >= qleft && right <= qright)
        return tree[root];

    int mid = (left + right) / 2;
    return merge_node(query(root * 2, left, mid, qleft, qright),
                      query(root * 2 + 1, mid + 1, right, qleft, qright));
}

int find_rightmost(int root, int left, int right, int qleft, int qright, int val)
{
    ///cout << root << " " << left << " " << right << " " << qleft << " " << qright << " " << val << endl;
    if (tree[root].max_number < val ||
            left > qright || right < qleft)
        return 0;

    if (left == right)
        return left;

    int mid = (left + right) / 2;
    if (left >= qleft && right <= qright)
    {
        if (tree[root * 2 + 1].max_number >= val)
            return find_rightmost(root * 2 + 1, mid + 1, right, qleft, qright, val);
        return find_rightmost(root * 2, left, mid, qleft, qright, val);
    }

    return max(find_rightmost(root * 2, left, mid, qleft, qright, val),
               find_rightmost(root * 2 + 1, mid + 1, right, qleft, qright, val));
}

int find_leftmost(int root, int left, int right, int qleft, int qright, int val)
{
    if (tree[root].max_number < val ||
            left > qright || right < qleft)
        return n + 1;

    if (left == right)
        return left;
    int mid = (left + right) / 2;
    if (left >= qleft && right <= qright)
    {
        if (tree[root * 2].max_number >= val)
            return find_leftmost(root * 2, left, mid, qleft, qright, val);
        return find_leftmost(root * 2 + 1, mid + 1, right, qleft, qright, val);

    }

    return min(find_leftmost(root * 2, left, mid, qleft, qright, val),
               find_leftmost(root * 2 + 1, mid + 1, right, qleft, qright, val));
}



struct diff_node
{
    int max_number, min_number;
    int diff_to_right;
    int diff_to_left;

    diff_node()
    {
        max_number = 0;
        min_number = 2e9;
        diff_to_right = 0;
        diff_to_left = 0;
    }
};

diff_node merge_diff(diff_node dn1, diff_node dn2)
{
    diff_node res;
    res.max_number = max(dn1.max_number, dn2.max_number);
    res.min_number = min(dn1.min_number, dn2.min_number);
    res.diff_to_right = max(dn2.max_number - dn1.min_number, max(dn1.diff_to_right, dn2.diff_to_right));
    res.diff_to_left = max(dn1.max_number - dn2.min_number, max(dn1.diff_to_left, dn2.diff_to_left));
    return res;
}

diff_node diff_tree[4 * maxn];
void build_diff_tree(int root, int left, int right)
{
    if (left == right)
    {
        diff_tree[root].max_number = diff_tree[root].min_number = h[left];
        return;
    }

    int mid = (left + right) / 2;
    build_diff_tree(root * 2, left, mid);
    build_diff_tree(root * 2 + 1, mid + 1, right);

    diff_tree[root] = merge_diff(diff_tree[root * 2], diff_tree[root * 2 + 1]);
}

diff_node diff_query(int root, int left, int right, int qleft, int qright)
{
    if (left > qright || right < qleft)
        return diff_node();

    if (left >= qleft && right <= qright)
        return diff_tree[root];

    int mid = (left + right) / 2;
    return merge_diff(diff_query(root * 2, left, mid, qleft, qright),
                      diff_query(root * 2 + 1, mid + 1, right, qleft, qright));
}

vector < pair < int, int > > val;
unordered_map < int, int > rev;
void init(int N, std::vector<int> H)
{
    n = N;
    for (int i = 0; i < n; i ++)
        h[i + 1] = H[i], rev[H[i]] = i + 1;

    for (int i = 1; i <= n; i ++)
        if (h[i] > h[i - 1] && h[i] > h[i + 1])
            cnt ++;
    for (int i = 2; i < n; i ++)
    {
        pref[i] = pref[i - 1];
        if (h[i] > h[i - 1] && h[i] > h[i + 1])
        {
            pref[i] ++, peak_pos = i;

        }
    }

    build_tree(1, 1, n);
    build_diff_tree(1, 1, n);
    vector < int > st;
    st.push_back(0);
    for (int i = 1; i <= n; i ++)
    {


        while(!st.empty() && h[st.back()] >= h[i])
            st.pop_back();
        bef[i] = st.back();
        st.push_back(i);
    }

    st.clear();
    st.push_back(n + 1);
    for (int i = n; i > 0; i --)
    {


        while(!st.empty() && h[st.back()] >= h[i])
            st.pop_back();
        aft[i] = st.back();
        st.push_back(i);
    }

    for (int i = 1; i <= n; i ++)
    {

        ///cout << bef[i] << " " << aft[i] << endl;
        int h1 = 0, h2 = 0;
        if (bef[i] != i - 1)
            h1 = query(1, 1, n, bef[i] + 1, i - 1).max_number;
        if (bef[i] == 0)
            h1 = 2e9 + 10;
        if (aft[i] != i + 1)
            h2 = query(1, 1, n, i + 1, aft[i] - 1).max_number;
        if (aft[i] == n + 1)
            h2 = 2e9 + 10;
        val.push_back({min(h1, h2) - h[i], i});
        ///cout << query(1, 1, n, bef[i] + 1)
    }

    sort(val.begin(), val.end());
    //for (int v : val)
    //    cout << v << " ";
    // cout << endl;
}


vector < int > act[maxn];
int cnt_query = 0;
int max_towers(int L, int R, int D)
{

    L ++;
    R ++;
    cnt_query ++;


    int lf = 0, rf = (int)(val.size()) - 1;
    while(lf <= rf)
    {
        int mf = (lf + rf) / 2;
        if (val[mf].first < D)
            lf = mf + 1;
        else
            rf = mf - 1;
    }
    ///vector < int > towers;
    int leftmost = n + 1, rightmost = 0, ans = 0;
    for (int i = lf; i < val.size(); i ++)
    {
        if (val[i].second >= L && val[i].second <= R)
        {
            ans ++;
            ///towers.push_back(val[i].second);
            leftmost = min(leftmost, val[i].second);
            rightmost = max(rightmost, val[i].second);
        }
    }

    if (leftmost > rightmost)
    {
        int lowest_tower = rev[query(1, 1, n, L, R).min_number];
        leftmost = lowest_tower;
        rightmost = lowest_tower;
        ans = 1;
    }

    int highest_tower = 0;
    int La = find_rightmost(1, 1, n, 1, leftmost, h[leftmost] + D);
    diff_node dn = diff_query(1, 1, n, L, La);
    if (dn.diff_to_right >= D)
        ans ++;
    ///cout << La << endl;
    ///cout << leftmost << " " << rightmost << endl;
    /**for (int tower = leftmost - 1; tower >= L; tower --)
    {
        if (tower <= La && h[tower] + D <= highest_tower &&
                highest_tower >= h[leftmost] + D)
        {
            ans ++;
            break;
        }
        highest_tower = max(highest_tower, h[tower]);
    }*/

    highest_tower = 0;
    int Ra = find_leftmost(1, 1, n, rightmost, n, h[rightmost] + D);
    dn = diff_query(1, 1, n, Ra, R);
    if (dn.diff_to_left >= D)
        ans ++;
    /**for (int tower = rightmost + 1; tower <= R; tower ++)
    {

        if (tower >= Ra && h[tower] + D <= highest_tower &&
                highest_tower >= h[rightmost] + D)
        {
            ans ++;
            break;
        }
        highest_tower = max(highest_tower, h[tower]);
    }*/

    return ans;



}

Compilation message

towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:288:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  288 |     for (int i = lf; i < val.size(); i ++)
      |                      ~~^~~~~~~~~~~~
towers.cpp:307:9: warning: variable 'highest_tower' set but not used [-Wunused-but-set-variable]
  307 |     int highest_tower = 0;
      |         ^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 535 ms 17080 KB Output is correct
2 Correct 994 ms 20992 KB Output is correct
3 Correct 948 ms 21016 KB Output is correct
4 Correct 1010 ms 21036 KB Output is correct
5 Correct 900 ms 20988 KB Output is correct
6 Correct 882 ms 20968 KB Output is correct
7 Correct 1129 ms 21060 KB Output is correct
8 Correct 6 ms 11984 KB Output is correct
9 Correct 7 ms 12112 KB Output is correct
10 Correct 7 ms 12132 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11984 KB Output is correct
2 Correct 6 ms 12112 KB Output is correct
3 Correct 7 ms 12208 KB Output is correct
4 Correct 7 ms 12112 KB Output is correct
5 Correct 7 ms 12112 KB Output is correct
6 Correct 7 ms 12112 KB Output is correct
7 Correct 9 ms 12112 KB Output is correct
8 Correct 6 ms 12148 KB Output is correct
9 Correct 7 ms 12112 KB Output is correct
10 Correct 7 ms 12112 KB Output is correct
11 Correct 7 ms 12112 KB Output is correct
12 Correct 6 ms 11984 KB Output is correct
13 Correct 7 ms 12112 KB Output is correct
14 Correct 6 ms 12112 KB Output is correct
15 Correct 7 ms 12112 KB Output is correct
16 Correct 7 ms 12112 KB Output is correct
17 Correct 7 ms 12112 KB Output is correct
18 Correct 6 ms 12112 KB Output is correct
19 Correct 7 ms 12180 KB Output is correct
20 Correct 6 ms 12112 KB Output is correct
21 Correct 7 ms 12112 KB Output is correct
22 Correct 6 ms 12112 KB Output is correct
23 Correct 7 ms 12104 KB Output is correct
24 Correct 6 ms 12112 KB Output is correct
25 Correct 6 ms 12112 KB Output is correct
26 Correct 7 ms 12152 KB Output is correct
27 Correct 7 ms 12180 KB Output is correct
28 Correct 6 ms 12112 KB Output is correct
29 Correct 7 ms 12112 KB Output is correct
30 Correct 6 ms 12112 KB Output is correct
31 Correct 6 ms 12112 KB Output is correct
32 Correct 6 ms 12112 KB Output is correct
33 Correct 6 ms 12112 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11984 KB Output is correct
2 Correct 6 ms 12112 KB Output is correct
3 Correct 7 ms 12208 KB Output is correct
4 Correct 7 ms 12112 KB Output is correct
5 Correct 7 ms 12112 KB Output is correct
6 Correct 7 ms 12112 KB Output is correct
7 Correct 9 ms 12112 KB Output is correct
8 Correct 6 ms 12148 KB Output is correct
9 Correct 7 ms 12112 KB Output is correct
10 Correct 7 ms 12112 KB Output is correct
11 Correct 7 ms 12112 KB Output is correct
12 Correct 6 ms 11984 KB Output is correct
13 Correct 7 ms 12112 KB Output is correct
14 Correct 6 ms 12112 KB Output is correct
15 Correct 7 ms 12112 KB Output is correct
16 Correct 7 ms 12112 KB Output is correct
17 Correct 7 ms 12112 KB Output is correct
18 Correct 6 ms 12112 KB Output is correct
19 Correct 7 ms 12180 KB Output is correct
20 Correct 6 ms 12112 KB Output is correct
21 Correct 7 ms 12112 KB Output is correct
22 Correct 6 ms 12112 KB Output is correct
23 Correct 7 ms 12104 KB Output is correct
24 Correct 6 ms 12112 KB Output is correct
25 Correct 6 ms 12112 KB Output is correct
26 Correct 7 ms 12152 KB Output is correct
27 Correct 7 ms 12180 KB Output is correct
28 Correct 6 ms 12112 KB Output is correct
29 Correct 7 ms 12112 KB Output is correct
30 Correct 6 ms 12112 KB Output is correct
31 Correct 6 ms 12112 KB Output is correct
32 Correct 6 ms 12112 KB Output is correct
33 Correct 6 ms 12112 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12112 KB Output is correct
36 Correct 40 ms 17244 KB Output is correct
37 Correct 60 ms 20676 KB Output is correct
38 Correct 68 ms 20668 KB Output is correct
39 Correct 57 ms 20596 KB Output is correct
40 Correct 60 ms 20600 KB Output is correct
41 Correct 57 ms 20680 KB Output is correct
42 Correct 58 ms 20684 KB Output is correct
43 Correct 60 ms 20992 KB Output is correct
44 Correct 59 ms 20968 KB Output is correct
45 Correct 54 ms 20872 KB Output is correct
46 Correct 64 ms 20844 KB Output is correct
47 Correct 68 ms 20592 KB Output is correct
48 Correct 58 ms 20600 KB Output is correct
49 Correct 66 ms 20780 KB Output is correct
50 Correct 48 ms 21052 KB Output is correct
51 Correct 48 ms 21000 KB Output is correct
52 Correct 67 ms 20676 KB Output is correct
53 Correct 58 ms 20732 KB Output is correct
54 Correct 56 ms 20664 KB Output is correct
55 Correct 47 ms 20984 KB Output is correct
56 Correct 63 ms 20852 KB Output is correct
57 Correct 56 ms 20360 KB Output is correct
58 Correct 59 ms 20608 KB Output is correct
59 Correct 60 ms 20656 KB Output is correct
60 Correct 56 ms 20604 KB Output is correct
61 Correct 57 ms 20636 KB Output is correct
62 Correct 56 ms 20596 KB Output is correct
63 Correct 56 ms 20600 KB Output is correct
64 Correct 48 ms 21060 KB Output is correct
65 Correct 56 ms 21028 KB Output is correct
66 Correct 53 ms 20876 KB Output is correct
67 Correct 53 ms 20960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 4027 ms 20564 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 405 ms 14136 KB Output is correct
2 Correct 2780 ms 20608 KB Output is correct
3 Correct 2554 ms 20680 KB Output is correct
4 Correct 3747 ms 20648 KB Output is correct
5 Correct 3541 ms 20660 KB Output is correct
6 Execution timed out 4029 ms 20600 KB Time limit exceeded
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11984 KB Output is correct
2 Correct 6 ms 12112 KB Output is correct
3 Correct 7 ms 12208 KB Output is correct
4 Correct 7 ms 12112 KB Output is correct
5 Correct 7 ms 12112 KB Output is correct
6 Correct 7 ms 12112 KB Output is correct
7 Correct 9 ms 12112 KB Output is correct
8 Correct 6 ms 12148 KB Output is correct
9 Correct 7 ms 12112 KB Output is correct
10 Correct 7 ms 12112 KB Output is correct
11 Correct 7 ms 12112 KB Output is correct
12 Correct 6 ms 11984 KB Output is correct
13 Correct 7 ms 12112 KB Output is correct
14 Correct 6 ms 12112 KB Output is correct
15 Correct 7 ms 12112 KB Output is correct
16 Correct 7 ms 12112 KB Output is correct
17 Correct 7 ms 12112 KB Output is correct
18 Correct 6 ms 12112 KB Output is correct
19 Correct 7 ms 12180 KB Output is correct
20 Correct 6 ms 12112 KB Output is correct
21 Correct 7 ms 12112 KB Output is correct
22 Correct 6 ms 12112 KB Output is correct
23 Correct 7 ms 12104 KB Output is correct
24 Correct 6 ms 12112 KB Output is correct
25 Correct 6 ms 12112 KB Output is correct
26 Correct 7 ms 12152 KB Output is correct
27 Correct 7 ms 12180 KB Output is correct
28 Correct 6 ms 12112 KB Output is correct
29 Correct 7 ms 12112 KB Output is correct
30 Correct 6 ms 12112 KB Output is correct
31 Correct 6 ms 12112 KB Output is correct
32 Correct 6 ms 12112 KB Output is correct
33 Correct 6 ms 12112 KB Output is correct
34 Correct 6 ms 12108 KB Output is correct
35 Correct 6 ms 12112 KB Output is correct
36 Correct 40 ms 17244 KB Output is correct
37 Correct 60 ms 20676 KB Output is correct
38 Correct 68 ms 20668 KB Output is correct
39 Correct 57 ms 20596 KB Output is correct
40 Correct 60 ms 20600 KB Output is correct
41 Correct 57 ms 20680 KB Output is correct
42 Correct 58 ms 20684 KB Output is correct
43 Correct 60 ms 20992 KB Output is correct
44 Correct 59 ms 20968 KB Output is correct
45 Correct 54 ms 20872 KB Output is correct
46 Correct 64 ms 20844 KB Output is correct
47 Correct 68 ms 20592 KB Output is correct
48 Correct 58 ms 20600 KB Output is correct
49 Correct 66 ms 20780 KB Output is correct
50 Correct 48 ms 21052 KB Output is correct
51 Correct 48 ms 21000 KB Output is correct
52 Correct 67 ms 20676 KB Output is correct
53 Correct 58 ms 20732 KB Output is correct
54 Correct 56 ms 20664 KB Output is correct
55 Correct 47 ms 20984 KB Output is correct
56 Correct 63 ms 20852 KB Output is correct
57 Correct 56 ms 20360 KB Output is correct
58 Correct 59 ms 20608 KB Output is correct
59 Correct 60 ms 20656 KB Output is correct
60 Correct 56 ms 20604 KB Output is correct
61 Correct 57 ms 20636 KB Output is correct
62 Correct 56 ms 20596 KB Output is correct
63 Correct 56 ms 20600 KB Output is correct
64 Correct 48 ms 21060 KB Output is correct
65 Correct 56 ms 21028 KB Output is correct
66 Correct 53 ms 20876 KB Output is correct
67 Correct 53 ms 20960 KB Output is correct
68 Execution timed out 4027 ms 20564 KB Time limit exceeded
69 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 535 ms 17080 KB Output is correct
2 Correct 994 ms 20992 KB Output is correct
3 Correct 948 ms 21016 KB Output is correct
4 Correct 1010 ms 21036 KB Output is correct
5 Correct 900 ms 20988 KB Output is correct
6 Correct 882 ms 20968 KB Output is correct
7 Correct 1129 ms 21060 KB Output is correct
8 Correct 6 ms 11984 KB Output is correct
9 Correct 7 ms 12112 KB Output is correct
10 Correct 7 ms 12132 KB Output is correct
11 Correct 6 ms 11984 KB Output is correct
12 Correct 6 ms 12112 KB Output is correct
13 Correct 7 ms 12208 KB Output is correct
14 Correct 7 ms 12112 KB Output is correct
15 Correct 7 ms 12112 KB Output is correct
16 Correct 7 ms 12112 KB Output is correct
17 Correct 9 ms 12112 KB Output is correct
18 Correct 6 ms 12148 KB Output is correct
19 Correct 7 ms 12112 KB Output is correct
20 Correct 7 ms 12112 KB Output is correct
21 Correct 7 ms 12112 KB Output is correct
22 Correct 6 ms 11984 KB Output is correct
23 Correct 7 ms 12112 KB Output is correct
24 Correct 6 ms 12112 KB Output is correct
25 Correct 7 ms 12112 KB Output is correct
26 Correct 7 ms 12112 KB Output is correct
27 Correct 7 ms 12112 KB Output is correct
28 Correct 6 ms 12112 KB Output is correct
29 Correct 7 ms 12180 KB Output is correct
30 Correct 6 ms 12112 KB Output is correct
31 Correct 7 ms 12112 KB Output is correct
32 Correct 6 ms 12112 KB Output is correct
33 Correct 7 ms 12104 KB Output is correct
34 Correct 6 ms 12112 KB Output is correct
35 Correct 6 ms 12112 KB Output is correct
36 Correct 7 ms 12152 KB Output is correct
37 Correct 7 ms 12180 KB Output is correct
38 Correct 6 ms 12112 KB Output is correct
39 Correct 7 ms 12112 KB Output is correct
40 Correct 6 ms 12112 KB Output is correct
41 Correct 6 ms 12112 KB Output is correct
42 Correct 6 ms 12112 KB Output is correct
43 Correct 6 ms 12112 KB Output is correct
44 Correct 6 ms 12108 KB Output is correct
45 Correct 6 ms 12112 KB Output is correct
46 Correct 40 ms 17244 KB Output is correct
47 Correct 60 ms 20676 KB Output is correct
48 Correct 68 ms 20668 KB Output is correct
49 Correct 57 ms 20596 KB Output is correct
50 Correct 60 ms 20600 KB Output is correct
51 Correct 57 ms 20680 KB Output is correct
52 Correct 58 ms 20684 KB Output is correct
53 Correct 60 ms 20992 KB Output is correct
54 Correct 59 ms 20968 KB Output is correct
55 Correct 54 ms 20872 KB Output is correct
56 Correct 64 ms 20844 KB Output is correct
57 Correct 68 ms 20592 KB Output is correct
58 Correct 58 ms 20600 KB Output is correct
59 Correct 66 ms 20780 KB Output is correct
60 Correct 48 ms 21052 KB Output is correct
61 Correct 48 ms 21000 KB Output is correct
62 Correct 67 ms 20676 KB Output is correct
63 Correct 58 ms 20732 KB Output is correct
64 Correct 56 ms 20664 KB Output is correct
65 Correct 47 ms 20984 KB Output is correct
66 Correct 63 ms 20852 KB Output is correct
67 Correct 56 ms 20360 KB Output is correct
68 Correct 59 ms 20608 KB Output is correct
69 Correct 60 ms 20656 KB Output is correct
70 Correct 56 ms 20604 KB Output is correct
71 Correct 57 ms 20636 KB Output is correct
72 Correct 56 ms 20596 KB Output is correct
73 Correct 56 ms 20600 KB Output is correct
74 Correct 48 ms 21060 KB Output is correct
75 Correct 56 ms 21028 KB Output is correct
76 Correct 53 ms 20876 KB Output is correct
77 Correct 53 ms 20960 KB Output is correct
78 Execution timed out 4027 ms 20564 KB Time limit exceeded
79 Halted 0 ms 0 KB -