oj.uz

Submission #787207

# Submission time Handle Problem Language Result Execution time Memory
787207 2023-07-18T23:02:57 Z MilosMilutinovic Radio Towers (IOI22_towers) C++17
27 / 100
 4000 ms 35364 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], go_l[N], go_r[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];
    }
    go_r[1] = 1;
    for (int i = 2; i <= n; i++) {
        go_r[i] = (a[i - 1] < a[i] ? go_r[i - 1] : i);
    }
    go_l[n] = n;
    for (int i = n - 1; i >= 1; i--) {
        go_l[i] = (a[i + 1] < a[i] ? go_l[i + 1] : i);
    }
    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 = go_l[L];
        //while (fl + 1 <= R && a[fl] > a[fl + 1]) fl++;
        int fr = go_r[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:127:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  127 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
towers.cpp: In function 'int find_first_bs(int, int)':
towers.cpp:140:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  140 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
towers.cpp: In function 'int find_last_bs(int, int)':
towers.cpp:153:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  153 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 324 ms 20576 KB Output is correct
2 Correct 779 ms 35196 KB Output is correct
3 Correct 655 ms 35216 KB Output is correct
4 Correct 857 ms 35228 KB Output is correct
5 Correct 852 ms 35228 KB Output is correct
6 Correct 904 ms 35284 KB Output is correct
7 Correct 703 ms 35236 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 464 KB Output is correct
2 Correct 2 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 1 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 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 1 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 592 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 828 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 464 KB Output is correct
2 Correct 2 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 1 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 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 1 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 592 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 828 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 39 ms 22176 KB Output is correct
37 Correct 62 ms 34816 KB Output is correct
38 Correct 58 ms 34872 KB Output is correct
39 Correct 56 ms 34816 KB Output is correct
40 Correct 62 ms 34840 KB Output is correct
41 Correct 57 ms 34852 KB Output is correct
42 Correct 69 ms 34896 KB Output is correct
43 Correct 41 ms 35284 KB Output is correct
44 Correct 38 ms 35236 KB Output is correct
45 Correct 47 ms 35120 KB Output is correct
46 Correct 46 ms 35144 KB Output is correct
47 Correct 56 ms 34784 KB Output is correct
48 Correct 56 ms 34896 KB Output is correct
49 Correct 60 ms 34872 KB Output is correct
50 Correct 39 ms 35264 KB Output is correct
51 Correct 46 ms 35204 KB Output is correct
52 Correct 58 ms 34832 KB Output is correct
53 Correct 56 ms 34820 KB Output is correct
54 Correct 56 ms 34792 KB Output is correct
55 Correct 41 ms 35364 KB Output is correct
56 Correct 46 ms 35008 KB Output is correct
57 Correct 60 ms 33652 KB Output is correct
58 Correct 62 ms 34844 KB Output is correct
59 Correct 62 ms 34848 KB Output is correct
60 Correct 58 ms 34864 KB Output is correct
61 Correct 56 ms 34836 KB Output is correct
62 Correct 56 ms 34848 KB Output is correct
63 Correct 61 ms 34848 KB Output is correct
64 Correct 40 ms 35232 KB Output is correct
65 Correct 46 ms 35232 KB Output is correct
66 Correct 43 ms 35120 KB Output is correct
67 Correct 48 ms 35240 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1178 ms 34656 KB Output is correct
2 Correct 1455 ms 34864 KB Output is correct
3 Correct 1465 ms 34832 KB Output is correct
4 Correct 1494 ms 34864 KB Output is correct
5 Correct 1683 ms 34860 KB Output is correct
6 Correct 1467 ms 34904 KB Output is correct
7 Correct 1434 ms 34840 KB Output is correct
8 Correct 741 ms 35264 KB Output is correct
9 Correct 829 ms 35204 KB Output is correct
10 Execution timed out 4022 ms 35120 KB Time limit exceeded
11 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 319 ms 8040 KB Output is correct
2 Correct 1101 ms 34868 KB Output is correct
3 Correct 1180 ms 34824 KB Output is correct
4 Correct 1047 ms 34876 KB Output is correct
5 Correct 1140 ms 34820 KB Output is correct
6 Correct 1105 ms 34808 KB Output is correct
7 Correct 965 ms 34860 KB Output is correct
8 Execution timed out 4037 ms 35252 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 464 KB Output is correct
2 Correct 2 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 1 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 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 1 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 592 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 828 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 39 ms 22176 KB Output is correct
37 Correct 62 ms 34816 KB Output is correct
38 Correct 58 ms 34872 KB Output is correct
39 Correct 56 ms 34816 KB Output is correct
40 Correct 62 ms 34840 KB Output is correct
41 Correct 57 ms 34852 KB Output is correct
42 Correct 69 ms 34896 KB Output is correct
43 Correct 41 ms 35284 KB Output is correct
44 Correct 38 ms 35236 KB Output is correct
45 Correct 47 ms 35120 KB Output is correct
46 Correct 46 ms 35144 KB Output is correct
47 Correct 56 ms 34784 KB Output is correct
48 Correct 56 ms 34896 KB Output is correct
49 Correct 60 ms 34872 KB Output is correct
50 Correct 39 ms 35264 KB Output is correct
51 Correct 46 ms 35204 KB Output is correct
52 Correct 58 ms 34832 KB Output is correct
53 Correct 56 ms 34820 KB Output is correct
54 Correct 56 ms 34792 KB Output is correct
55 Correct 41 ms 35364 KB Output is correct
56 Correct 46 ms 35008 KB Output is correct
57 Correct 60 ms 33652 KB Output is correct
58 Correct 62 ms 34844 KB Output is correct
59 Correct 62 ms 34848 KB Output is correct
60 Correct 58 ms 34864 KB Output is correct
61 Correct 56 ms 34836 KB Output is correct
62 Correct 56 ms 34848 KB Output is correct
63 Correct 61 ms 34848 KB Output is correct
64 Correct 40 ms 35232 KB Output is correct
65 Correct 46 ms 35232 KB Output is correct
66 Correct 43 ms 35120 KB Output is correct
67 Correct 48 ms 35240 KB Output is correct
68 Correct 1178 ms 34656 KB Output is correct
69 Correct 1455 ms 34864 KB Output is correct
70 Correct 1465 ms 34832 KB Output is correct
71 Correct 1494 ms 34864 KB Output is correct
72 Correct 1683 ms 34860 KB Output is correct
73 Correct 1467 ms 34904 KB Output is correct
74 Correct 1434 ms 34840 KB Output is correct
75 Correct 741 ms 35264 KB Output is correct
76 Correct 829 ms 35204 KB Output is correct
77 Execution timed out 4022 ms 35120 KB Time limit exceeded
78 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 324 ms 20576 KB Output is correct
2 Correct 779 ms 35196 KB Output is correct
3 Correct 655 ms 35216 KB Output is correct
4 Correct 857 ms 35228 KB Output is correct
5 Correct 852 ms 35228 KB Output is correct
6 Correct 904 ms 35284 KB Output is correct
7 Correct 703 ms 35236 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 464 KB Output is correct
12 Correct 2 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 1 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 1 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 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 592 KB Output is correct
36 Correct 1 ms 848 KB Output is correct
37 Correct 1 ms 848 KB Output is correct
38 Correct 1 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 1 ms 828 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 39 ms 22176 KB Output is correct
47 Correct 62 ms 34816 KB Output is correct
48 Correct 58 ms 34872 KB Output is correct
49 Correct 56 ms 34816 KB Output is correct
50 Correct 62 ms 34840 KB Output is correct
51 Correct 57 ms 34852 KB Output is correct
52 Correct 69 ms 34896 KB Output is correct
53 Correct 41 ms 35284 KB Output is correct
54 Correct 38 ms 35236 KB Output is correct
55 Correct 47 ms 35120 KB Output is correct
56 Correct 46 ms 35144 KB Output is correct
57 Correct 56 ms 34784 KB Output is correct
58 Correct 56 ms 34896 KB Output is correct
59 Correct 60 ms 34872 KB Output is correct
60 Correct 39 ms 35264 KB Output is correct
61 Correct 46 ms 35204 KB Output is correct
62 Correct 58 ms 34832 KB Output is correct
63 Correct 56 ms 34820 KB Output is correct
64 Correct 56 ms 34792 KB Output is correct
65 Correct 41 ms 35364 KB Output is correct
66 Correct 46 ms 35008 KB Output is correct
67 Correct 60 ms 33652 KB Output is correct
68 Correct 62 ms 34844 KB Output is correct
69 Correct 62 ms 34848 KB Output is correct
70 Correct 58 ms 34864 KB Output is correct
71 Correct 56 ms 34836 KB Output is correct
72 Correct 56 ms 34848 KB Output is correct
73 Correct 61 ms 34848 KB Output is correct
74 Correct 40 ms 35232 KB Output is correct
75 Correct 46 ms 35232 KB Output is correct
76 Correct 43 ms 35120 KB Output is correct
77 Correct 48 ms 35240 KB Output is correct
78 Correct 1178 ms 34656 KB Output is correct
79 Correct 1455 ms 34864 KB Output is correct
80 Correct 1465 ms 34832 KB Output is correct
81 Correct 1494 ms 34864 KB Output is correct
82 Correct 1683 ms 34860 KB Output is correct
83 Correct 1467 ms 34904 KB Output is correct
84 Correct 1434 ms 34840 KB Output is correct
85 Correct 741 ms 35264 KB Output is correct
86 Correct 829 ms 35204 KB Output is correct
87 Execution timed out 4022 ms 35120 KB Time limit exceeded
88 Halted 0 ms 0 KB -