oj.uz

Submission #787204

# Submission time Handle Problem Language Result Execution time Memory
787204 2023-07-18T22:58:00 Z MilosMilutinovic Radio Towers (IOI22_towers) C++17
27 / 100
 4000 ms 34500 KB 
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 10;
const int L = 22;
int n, a[N], pl[N], pr[N], ord[N];
bool cmp(int i, int j) { return a[i] < a[j]; }
int mx[N][L], logs[N];
int qmx(int l, int r) {
    if (l > r) return (int) -1e9;
    int k = logs[r - l + 1];
    return max(mx[l][k], mx[r - (1 << k) + 1][k]);
}
void buildST() {
    for (int i = 1; i <= n; i++) mx[i][0] = a[i];
    for (int i = 2; i <= n; i++) logs[i] = logs[i >> 1] + 1;
    for (int j = 1; j < L; j++)
        for (int i = 1; i + (1 << j) <= n + 1; i++)
            mx[i][j] = max(mx[i][j - 1], mx[i + (1 << (j - 1))][j - 1]);
}
const int M = N * L;
int tsz, ls[M], rs[M], sum[M];
void modify(int& v, int p, int tl, int tr, int i, int x) {
    v = ++tsz;
    ls[v] = ls[p];
    rs[v] = rs[p];
    sum[v] = sum[p] + x;
    if (tl == tr) {
        return;
    }
    int mid = tl + tr >> 1;
    if (i <= mid) {
        modify(ls[v], ls[p], tl, mid, i, x);
    } else {
        modify(rs[v], rs[p], mid + 1, tr, i, x);
    }
}
int query(int v, int tl, int tr, int ql, int qr) {
    if (tl > tr || tl > qr || tr < ql) {
        return 0;
    }
    if (ql <= tl && tr <= qr) {
        return sum[v];
    }
    int mid = tl + tr >> 1;
    return query(ls[v], tl, mid, ql, qr) + query(rs[v], mid + 1, tr, ql, qr);
}
int find_first(int v, int tl, int tr, int p) {
    if (tr < p || !sum[v]) {
        return n + 1;
    }
    if (tl == tr) {
        return sum[v] > 0 ? tl : n + 1;
    }
    int mid = tl + tr >> 1;
    int ans_l = find_first(ls[v], tl, mid, p);
    if (ans_l == n + 1)
        return find_first(rs[v], mid + 1, tr, p);
    else
        return ans_l;
}
int find_last(int v, int tl, int tr, int p) {
    if (tl > p || !sum[v]) {
        return 0;
    }
    if (tl == tr) {
        return sum[v] > 0 ? tl : 0;
    }
    int mid = tl + tr >> 1;
    int ans_r = find_last(ls[v], mid + 1, tr, p);
    if (ans_r == 0)
        return find_last(ls[v], tl, mid, p);
    else
        return ans_r;
}
vector<pair<int, int>> qs;
vector<int> roots;
void init(int N, vector<int> H) {
    n = N;
    for (int i = 1; i <= n; i++) {
        a[i] = H[i - 1];
    }
    vector <int> stk;
    for (int i = 1; i <= n; i++) {
        while (!stk.empty() && a[stk.back()] > a[i]) stk.pop_back();
        pl[i] = (stk.empty() ? -1 : stk.back());
        stk.push_back(i);
    }
    stk.clear();
    for (int i = n; i >= 1; i--) {
        while (!stk.empty() && a[stk.back()] > a[i]) stk.pop_back();
        pr[i] = (stk.empty() ? -1 : stk.back());
        stk.push_back(i);
    }
    buildST();
    for (int i = 1; i <= n; i++) ord[i] = i;
    sort(ord + 1, ord + n + 1, cmp);
    for (int _i = 2; _i <= n; _i++) {
        int i = ord[_i];
        int D = 1.001e9;
        if (pl[i] != -1) D = min(D, qmx(pl[i] + 1, i) - a[i]);
        if (pr[i] != -1) D = min(D, qmx(i, pr[i] - 1) - a[i]);
        qs.emplace_back(D, i);
    }
    sort(qs.begin(), qs.end());
    roots.push_back(0);
    modify(roots.back(), roots.back(), 1, n, ord[1], 1);
    int sz = (int) qs.size();
    for (int i = sz - 1; i >= 0; i--) {
        int prv = (int) roots.back();
        roots.push_back(0);
        modify(roots.back(), prv, 1, n, qs[i].second, 1);
    }
    reverse(roots.begin(), roots.end());
}
int get_pos(int d) {
    int low = 0, high = (int) qs.size() - 1, res = high + 1;
    while (low <= high) {
        int mid = low + high >> 1;
        if (qs[mid].first >= d) {
            res = mid;
            high = mid - 1;
        } else {
            low = mid + 1;
        }
    }
    return res;
}
int find_first_bs(int rt, int p) {
    int low = p, high = n, res = n;
    while (low <= high) {
        int mid = low + high >> 1;
        if (query(rt, 1, n, p, mid) > 0) {
            res = mid;
            high = mid - 1;
        } else {
            low = mid + 1;
        }
    }
    return res;
}
int find_last_bs(int rt, int p) {
    int low = 1, high = p, res = 1;
    while (low <= high) {
        int mid = low + high >> 1;
        if (query(rt, 1, n, mid, p) > 0) {
            res = mid;
            low = mid + 1;
        } else {
            high = mid - 1;
        }
    }
    return res;
}
int max_towers(int L, int R, int D) {
    if (L == R) {
        return 1;
    }
    ++L; ++R;
    int p = get_pos(D);
    int ans = query(roots[p], 1, n, L, R);
    if (ans == 0) {
        int fl = L;
        while (fl + 1 <= R && a[fl] > a[fl + 1]) fl++;
        int fr = R;
        while (fr - 1 >= L && a[fr - 1] < a[fr]) fr--;
        if (fl >= fr) {
            return 1;
        }
        return (max(a[fl], a[fr]) <= qmx(fl, fr) - D) ? 2 : 1;
    }
    int l = find_first_bs(roots[p], L);
    int r = find_last_bs(roots[p], R);
    for (int i = L; i < l; i++) {
        if (max(a[i], a[l]) <= qmx(i, l) - D) {
            ans += 1;
            break;
        }
    }
    for (int i = R; i > r; i--) {
        if (max(a[r], a[i]) <= qmx(r, i) - D) {
            ans += 1;
            break;
        }
    }
    return ans;
}

/*
7 3
10 20 60 40 50 30 70
1 5 10
2 2 100
0 6 17


3
1
2
*/

Compilation message

towers.cpp: In function 'void modify(int&, int, int, int, int, int)':
towers.cpp:31:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   31 |     int mid = tl + tr >> 1;
      |               ~~~^~~~
towers.cpp: In function 'int query(int, int, int, int, int)':
towers.cpp:45:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   45 |     int mid = tl + tr >> 1;
      |               ~~~^~~~
towers.cpp: In function 'int find_first(int, int, int, int)':
towers.cpp:55:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   55 |     int mid = tl + tr >> 1;
      |               ~~~^~~~
towers.cpp: In function 'int find_last(int, int, int, int)':
towers.cpp:69:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   69 |     int mid = tl + tr >> 1;
      |               ~~~^~~~
towers.cpp: In function 'int get_pos(int)':
towers.cpp:119:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  119 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
towers.cpp: In function 'int find_first_bs(int, int)':
towers.cpp:132:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  132 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
towers.cpp: In function 'int find_last_bs(int, int)':
towers.cpp:145:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  145 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 561 ms 20040 KB Output is correct
2 Correct 1627 ms 34432 KB Output is correct
3 Correct 1621 ms 34500 KB Output is correct
4 Correct 1968 ms 34476 KB Output is correct
5 Correct 1840 ms 34448 KB Output is correct
6 Correct 1952 ms 34432 KB Output is correct
7 Correct 1814 ms 34444 KB Output is correct
8 Correct 0 ms 336 KB Output is correct
9 Correct 1 ms 848 KB Output is correct
10 Correct 1 ms 848 KB Output is correct

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 848 KB Output is correct
3 Correct 1 ms 848 KB Output is correct
4 Correct 1 ms 848 KB Output is correct
5 Correct 1 ms 848 KB Output is correct
6 Correct 1 ms 848 KB Output is correct
7 Correct 1 ms 848 KB Output is correct
8 Correct 1 ms 848 KB Output is correct
9 Correct 1 ms 848 KB Output is correct
10 Correct 1 ms 848 KB Output is correct
11 Correct 1 ms 848 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 848 KB Output is correct
14 Correct 1 ms 848 KB Output is correct
15 Correct 2 ms 848 KB Output is correct
16 Correct 1 ms 848 KB Output is correct
17 Correct 1 ms 848 KB Output is correct
18 Correct 1 ms 848 KB Output is correct
19 Correct 1 ms 848 KB Output is correct
20 Correct 1 ms 848 KB Output is correct
21 Correct 1 ms 848 KB Output is correct
22 Correct 2 ms 848 KB Output is correct
23 Correct 1 ms 848 KB Output is correct
24 Correct 1 ms 848 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 848 KB Output is correct
27 Correct 1 ms 848 KB Output is correct
28 Correct 2 ms 848 KB Output is correct
29 Correct 1 ms 848 KB Output is correct
30 Correct 1 ms 848 KB Output is correct
31 Correct 2 ms 848 KB Output is correct
32 Correct 1 ms 848 KB Output is correct
33 Correct 1 ms 848 KB Output is correct
34 Correct 1 ms 848 KB Output is correct
35 Correct 1 ms 848 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 848 KB Output is correct
3 Correct 1 ms 848 KB Output is correct
4 Correct 1 ms 848 KB Output is correct
5 Correct 1 ms 848 KB Output is correct
6 Correct 1 ms 848 KB Output is correct
7 Correct 1 ms 848 KB Output is correct
8 Correct 1 ms 848 KB Output is correct
9 Correct 1 ms 848 KB Output is correct
10 Correct 1 ms 848 KB Output is correct
11 Correct 1 ms 848 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 848 KB Output is correct
14 Correct 1 ms 848 KB Output is correct
15 Correct 2 ms 848 KB Output is correct
16 Correct 1 ms 848 KB Output is correct
17 Correct 1 ms 848 KB Output is correct
18 Correct 1 ms 848 KB Output is correct
19 Correct 1 ms 848 KB Output is correct
20 Correct 1 ms 848 KB Output is correct
21 Correct 1 ms 848 KB Output is correct
22 Correct 2 ms 848 KB Output is correct
23 Correct 1 ms 848 KB Output is correct
24 Correct 1 ms 848 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 848 KB Output is correct
27 Correct 1 ms 848 KB Output is correct
28 Correct 2 ms 848 KB Output is correct
29 Correct 1 ms 848 KB Output is correct
30 Correct 1 ms 848 KB Output is correct
31 Correct 2 ms 848 KB Output is correct
32 Correct 1 ms 848 KB Output is correct
33 Correct 1 ms 848 KB Output is correct
34 Correct 1 ms 848 KB Output is correct
35 Correct 1 ms 848 KB Output is correct
36 Correct 35 ms 21652 KB Output is correct
37 Correct 61 ms 34080 KB Output is correct
38 Correct 57 ms 34068 KB Output is correct
39 Correct 65 ms 34080 KB Output is correct
40 Correct 61 ms 34024 KB Output is correct
41 Correct 54 ms 34012 KB Output is correct
42 Correct 56 ms 34028 KB Output is correct
43 Correct 39 ms 34448 KB Output is correct
44 Correct 37 ms 34496 KB Output is correct
45 Correct 41 ms 34320 KB Output is correct
46 Correct 40 ms 34284 KB Output is correct
47 Correct 58 ms 34092 KB Output is correct
48 Correct 55 ms 34108 KB Output is correct
49 Correct 59 ms 34060 KB Output is correct
50 Correct 40 ms 34484 KB Output is correct
51 Correct 45 ms 34460 KB Output is correct
52 Correct 61 ms 34088 KB Output is correct
53 Correct 55 ms 34060 KB Output is correct
54 Correct 55 ms 34092 KB Output is correct
55 Correct 37 ms 34496 KB Output is correct
56 Correct 43 ms 34316 KB Output is correct
57 Correct 59 ms 32876 KB Output is correct
58 Correct 67 ms 34052 KB Output is correct
59 Correct 55 ms 34088 KB Output is correct
60 Correct 55 ms 34036 KB Output is correct
61 Correct 54 ms 34068 KB Output is correct
62 Correct 54 ms 34088 KB Output is correct
63 Correct 56 ms 34032 KB Output is correct
64 Correct 39 ms 34456 KB Output is correct
65 Correct 43 ms 34480 KB Output is correct
66 Correct 42 ms 34292 KB Output is correct
67 Correct 39 ms 34424 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1120 ms 33816 KB Output is correct
2 Correct 1523 ms 34068 KB Output is correct
3 Correct 1486 ms 34108 KB Output is correct
4 Correct 1379 ms 34120 KB Output is correct
5 Correct 1469 ms 34068 KB Output is correct
6 Correct 1518 ms 34072 KB Output is correct
7 Correct 1666 ms 34108 KB Output is correct
8 Correct 1729 ms 34492 KB Output is correct
9 Correct 1806 ms 34488 KB Output is correct
10 Execution timed out 4006 ms 34328 KB Time limit exceeded
11 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 355 ms 7844 KB Output is correct
2 Correct 1051 ms 34196 KB Output is correct
3 Correct 1080 ms 34112 KB Output is correct
4 Correct 1172 ms 34108 KB Output is correct
5 Correct 1220 ms 34108 KB Output is correct
6 Correct 1129 ms 34012 KB Output is correct
7 Correct 1146 ms 34108 KB Output is correct
8 Execution timed out 4005 ms 34472 KB Time limit exceeded
9 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 848 KB Output is correct
3 Correct 1 ms 848 KB Output is correct
4 Correct 1 ms 848 KB Output is correct
5 Correct 1 ms 848 KB Output is correct
6 Correct 1 ms 848 KB Output is correct
7 Correct 1 ms 848 KB Output is correct
8 Correct 1 ms 848 KB Output is correct
9 Correct 1 ms 848 KB Output is correct
10 Correct 1 ms 848 KB Output is correct
11 Correct 1 ms 848 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 848 KB Output is correct
14 Correct 1 ms 848 KB Output is correct
15 Correct 2 ms 848 KB Output is correct
16 Correct 1 ms 848 KB Output is correct
17 Correct 1 ms 848 KB Output is correct
18 Correct 1 ms 848 KB Output is correct
19 Correct 1 ms 848 KB Output is correct
20 Correct 1 ms 848 KB Output is correct
21 Correct 1 ms 848 KB Output is correct
22 Correct 2 ms 848 KB Output is correct
23 Correct 1 ms 848 KB Output is correct
24 Correct 1 ms 848 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 848 KB Output is correct
27 Correct 1 ms 848 KB Output is correct
28 Correct 2 ms 848 KB Output is correct
29 Correct 1 ms 848 KB Output is correct
30 Correct 1 ms 848 KB Output is correct
31 Correct 2 ms 848 KB Output is correct
32 Correct 1 ms 848 KB Output is correct
33 Correct 1 ms 848 KB Output is correct
34 Correct 1 ms 848 KB Output is correct
35 Correct 1 ms 848 KB Output is correct
36 Correct 35 ms 21652 KB Output is correct
37 Correct 61 ms 34080 KB Output is correct
38 Correct 57 ms 34068 KB Output is correct
39 Correct 65 ms 34080 KB Output is correct
40 Correct 61 ms 34024 KB Output is correct
41 Correct 54 ms 34012 KB Output is correct
42 Correct 56 ms 34028 KB Output is correct
43 Correct 39 ms 34448 KB Output is correct
44 Correct 37 ms 34496 KB Output is correct
45 Correct 41 ms 34320 KB Output is correct
46 Correct 40 ms 34284 KB Output is correct
47 Correct 58 ms 34092 KB Output is correct
48 Correct 55 ms 34108 KB Output is correct
49 Correct 59 ms 34060 KB Output is correct
50 Correct 40 ms 34484 KB Output is correct
51 Correct 45 ms 34460 KB Output is correct
52 Correct 61 ms 34088 KB Output is correct
53 Correct 55 ms 34060 KB Output is correct
54 Correct 55 ms 34092 KB Output is correct
55 Correct 37 ms 34496 KB Output is correct
56 Correct 43 ms 34316 KB Output is correct
57 Correct 59 ms 32876 KB Output is correct
58 Correct 67 ms 34052 KB Output is correct
59 Correct 55 ms 34088 KB Output is correct
60 Correct 55 ms 34036 KB Output is correct
61 Correct 54 ms 34068 KB Output is correct
62 Correct 54 ms 34088 KB Output is correct
63 Correct 56 ms 34032 KB Output is correct
64 Correct 39 ms 34456 KB Output is correct
65 Correct 43 ms 34480 KB Output is correct
66 Correct 42 ms 34292 KB Output is correct
67 Correct 39 ms 34424 KB Output is correct
68 Correct 1120 ms 33816 KB Output is correct
69 Correct 1523 ms 34068 KB Output is correct
70 Correct 1486 ms 34108 KB Output is correct
71 Correct 1379 ms 34120 KB Output is correct
72 Correct 1469 ms 34068 KB Output is correct
73 Correct 1518 ms 34072 KB Output is correct
74 Correct 1666 ms 34108 KB Output is correct
75 Correct 1729 ms 34492 KB Output is correct
76 Correct 1806 ms 34488 KB Output is correct
77 Execution timed out 4006 ms 34328 KB Time limit exceeded
78 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 561 ms 20040 KB Output is correct
2 Correct 1627 ms 34432 KB Output is correct
3 Correct 1621 ms 34500 KB Output is correct
4 Correct 1968 ms 34476 KB Output is correct
5 Correct 1840 ms 34448 KB Output is correct
6 Correct 1952 ms 34432 KB Output is correct
7 Correct 1814 ms 34444 KB Output is correct
8 Correct 0 ms 336 KB Output is correct
9 Correct 1 ms 848 KB Output is correct
10 Correct 1 ms 848 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 848 KB Output is correct
13 Correct 1 ms 848 KB Output is correct
14 Correct 1 ms 848 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 848 KB Output is correct
17 Correct 1 ms 848 KB Output is correct
18 Correct 1 ms 848 KB Output is correct
19 Correct 1 ms 848 KB Output is correct
20 Correct 1 ms 848 KB Output is correct
21 Correct 1 ms 848 KB Output is correct
22 Correct 0 ms 336 KB Output is correct
23 Correct 1 ms 848 KB Output is correct
24 Correct 1 ms 848 KB Output is correct
25 Correct 2 ms 848 KB Output is correct
26 Correct 1 ms 848 KB Output is correct
27 Correct 1 ms 848 KB Output is correct
28 Correct 1 ms 848 KB Output is correct
29 Correct 1 ms 848 KB Output is correct
30 Correct 1 ms 848 KB Output is correct
31 Correct 1 ms 848 KB Output is correct
32 Correct 2 ms 848 KB Output is correct
33 Correct 1 ms 848 KB Output is correct
34 Correct 1 ms 848 KB Output is correct
35 Correct 1 ms 464 KB Output is correct
36 Correct 1 ms 848 KB Output is correct
37 Correct 1 ms 848 KB Output is correct
38 Correct 2 ms 848 KB Output is correct
39 Correct 1 ms 848 KB Output is correct
40 Correct 1 ms 848 KB Output is correct
41 Correct 2 ms 848 KB Output is correct
42 Correct 1 ms 848 KB Output is correct
43 Correct 1 ms 848 KB Output is correct
44 Correct 1 ms 848 KB Output is correct
45 Correct 1 ms 848 KB Output is correct
46 Correct 35 ms 21652 KB Output is correct
47 Correct 61 ms 34080 KB Output is correct
48 Correct 57 ms 34068 KB Output is correct
49 Correct 65 ms 34080 KB Output is correct
50 Correct 61 ms 34024 KB Output is correct
51 Correct 54 ms 34012 KB Output is correct
52 Correct 56 ms 34028 KB Output is correct
53 Correct 39 ms 34448 KB Output is correct
54 Correct 37 ms 34496 KB Output is correct
55 Correct 41 ms 34320 KB Output is correct
56 Correct 40 ms 34284 KB Output is correct
57 Correct 58 ms 34092 KB Output is correct
58 Correct 55 ms 34108 KB Output is correct
59 Correct 59 ms 34060 KB Output is correct
60 Correct 40 ms 34484 KB Output is correct
61 Correct 45 ms 34460 KB Output is correct
62 Correct 61 ms 34088 KB Output is correct
63 Correct 55 ms 34060 KB Output is correct
64 Correct 55 ms 34092 KB Output is correct
65 Correct 37 ms 34496 KB Output is correct
66 Correct 43 ms 34316 KB Output is correct
67 Correct 59 ms 32876 KB Output is correct
68 Correct 67 ms 34052 KB Output is correct
69 Correct 55 ms 34088 KB Output is correct
70 Correct 55 ms 34036 KB Output is correct
71 Correct 54 ms 34068 KB Output is correct
72 Correct 54 ms 34088 KB Output is correct
73 Correct 56 ms 34032 KB Output is correct
74 Correct 39 ms 34456 KB Output is correct
75 Correct 43 ms 34480 KB Output is correct
76 Correct 42 ms 34292 KB Output is correct
77 Correct 39 ms 34424 KB Output is correct
78 Correct 1120 ms 33816 KB Output is correct
79 Correct 1523 ms 34068 KB Output is correct
80 Correct 1486 ms 34108 KB Output is correct
81 Correct 1379 ms 34120 KB Output is correct
82 Correct 1469 ms 34068 KB Output is correct
83 Correct 1518 ms 34072 KB Output is correct
84 Correct 1666 ms 34108 KB Output is correct
85 Correct 1729 ms 34492 KB Output is correct
86 Correct 1806 ms 34488 KB Output is correct
87 Execution timed out 4006 ms 34328 KB Time limit exceeded
88 Halted 0 ms 0 KB -