Submission #1023007

# Submission time Handle Problem Language Result Execution time Memory
1023007 2024-07-14T08:39:35 Z vjudge1 Radio Towers (IOI22_towers) C++17
44 / 100
4000 ms 32552 KB
#include "towers.h"
#include<bits/stdc++.h>

using namespace std;

#define rall(s) s.rbegin(), s.rend()
#define all(s) s.begin(), s.end()
#define sz(s) (int)s.size()
#define s second 
#define f first 

using ll = long long;
using pii = pair<int, int>; 
using pll = pair<ll, ll>;

vector<int> h;
int n, k, ok = 1;
const int inf = 1e9, N1 = 3e7;

pii t[N1];

void bld(int u = 1, int tl = 0, int tr = n - 1) {
    if (tl == tr) {
        t[u] = {tl, tl};
        return;
    }
    int m = (tl + tr) / 2;
    bld(u * 2, tl, m);
    bld(u * 2 + 1, m + 1, tr);
    t[u] = t[u * 2 + 1];
    if (h[t[u * 2].f] > h[t[u].f]) t[u].f = t[u * 2].f;
    if (h[t[u * 2].s] < h[t[u].s]) t[u].s = t[u * 2].s;
}

pii get(int l, int r, int u = 1, int tl = 0, int tr = n - 1) {
    if (tl > r || tr < l) return {-1, -1};
    if (tl >= l && tr <= r) return t[u];
    int m = (tl + tr) / 2;
    auto [x1, x2] = get(l, r, u * 2, tl, m);
    auto [y1, y2] = get(l, r, u * 2 + 1, m + 1, tr);
    if (x1 == -1) return {y1, y2};
    if (y1 == -1) return {x1, x2};
    if (h[y1] > h[x1]) x1 = y1;
    if (h[y2] < h[x2]) x2 = y2;
    return {x1, x2};
}

int t2[N1], vl[N1], vr[N1], cur = 1;

void upd(int l, int r, int u = 1, int tl = 1, int tr = inf) {
    if (tl > r || tr < l || r < l) return;
    if (tl >= l && tr <= r) {
        t2[u]++;
        return;
    }
    int m = (tl + tr) / 2;
    if (!vl[u]) vl[u] = ++cur;
    if (!vr[u]) vr[u] = ++cur;
    upd(l, r, vl[u], tl, m);
    upd(l, r, vr[u], m + 1, tr);
}

int gt(int p, int u = 1, int tl = 1, int tr = inf) {
    if (tl == tr) return t2[u];
    int m = (tl + + tr) / 2;
    if (p <= m) {
        if (vl[u]) return gt(p, vl[u], tl, m) + t2[u];
        return t2[u];
    }
    if (vr[u]) return gt(p, vr[u], m + 1, tr) + t2[u];
    return t2[u];
}

void calc(int l, int r, int mx) {
    if (r < l) return;
    if (l == r) {
        upd(1, min(inf, mx - h[l]));
        return; 
    }
    auto [pos, ps] = get(l, r);
    if (pos == l) calc(l + 1, r, mx);
    else if (pos == r) calc(l, r - 1, mx);
    else {
        upd(h[pos] - h[ps] + 1, min(inf, mx - h[ps]));
        calc(l, pos - 1, h[pos]);
        calc(pos + 1, r, h[pos]);
    }
}

void init(int N, vector<int> H) {
    n = N, h = H;
    k = n - 1;
    for (int i = 1; i < n; i++) {
        if (h[i] < h[i - 1]) {
            k = i - 1;
            break;
        }
    }
    for (int i = 1; i < k; i++) {
        if (h[i - 1] > h[i]) ok = 0;
    }
    for (int i = k + 1; i < n; i++) {
        if (h[i - 1] < h[i]) ok = 0;
    }
    bld();
    calc(0, n - 1, 2 * inf);
}

int f(int l, int r, int d, int mx) {
    if (r < l) return 0;
    if (l == r) return (h[l] <= mx);
    auto [pos, ps] = get(l, r);
    if (h[ps] > mx) return 0;
    if (pos == l) return f(l + 1, r, d, mx);
    if (pos == r) return f(l, r - 1, d, mx);
    return max(1, f(l, pos - 1, d, min(mx, h[pos] - d)) + f(pos + 1, r, d, min(mx, h[pos] - d)));
}

int max_towers(int l, int r, int d) {
    if (ok) {
        if (k == -1) return 1;
        if (k <= l || r <= k) return 1;
        if (h[l] > h[k] - d || h[r] > h[k] - d) return 1;
        return 2;
    }
    if (l == 0 && r == n - 1) {
        return gt(d);
    }
    return f(l, r, d, inf);
}
# Verdict Execution time Memory Grader output
1 Correct 321 ms 2136 KB Output is correct
2 Correct 703 ms 3672 KB Output is correct
3 Correct 725 ms 3672 KB Output is correct
4 Correct 632 ms 3668 KB Output is correct
5 Correct 579 ms 3672 KB Output is correct
6 Correct 578 ms 3684 KB Output is correct
7 Correct 586 ms 3656 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 876 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 1112 KB Output is correct
5 Correct 2 ms 1112 KB Output is correct
6 Correct 2 ms 1184 KB Output is correct
7 Correct 2 ms 1176 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 1112 KB Output is correct
17 Correct 2 ms 1112 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 2 ms 856 KB Output is correct
21 Correct 3 ms 1112 KB Output is correct
22 Correct 2 ms 1112 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 2 ms 924 KB Output is correct
27 Correct 2 ms 856 KB Output is correct
28 Correct 2 ms 1120 KB Output is correct
29 Correct 2 ms 1112 KB Output is correct
30 Correct 2 ms 1112 KB Output is correct
31 Correct 2 ms 1124 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 452 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 876 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 1112 KB Output is correct
5 Correct 2 ms 1112 KB Output is correct
6 Correct 2 ms 1184 KB Output is correct
7 Correct 2 ms 1176 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 1112 KB Output is correct
17 Correct 2 ms 1112 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 2 ms 856 KB Output is correct
21 Correct 3 ms 1112 KB Output is correct
22 Correct 2 ms 1112 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 2 ms 924 KB Output is correct
27 Correct 2 ms 856 KB Output is correct
28 Correct 2 ms 1120 KB Output is correct
29 Correct 2 ms 1112 KB Output is correct
30 Correct 2 ms 1112 KB Output is correct
31 Correct 2 ms 1124 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 452 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 356 KB Output is correct
36 Correct 50 ms 15920 KB Output is correct
37 Correct 76 ms 23904 KB Output is correct
38 Correct 74 ms 23908 KB Output is correct
39 Correct 100 ms 32516 KB Output is correct
40 Correct 101 ms 32456 KB Output is correct
41 Correct 96 ms 32552 KB Output is correct
42 Correct 95 ms 32360 KB Output is correct
43 Correct 20 ms 3672 KB Output is correct
44 Correct 20 ms 3684 KB Output is correct
45 Correct 42 ms 3660 KB Output is correct
46 Correct 23 ms 3664 KB Output is correct
47 Correct 73 ms 23748 KB Output is correct
48 Correct 83 ms 32384 KB Output is correct
49 Correct 88 ms 32336 KB Output is correct
50 Correct 28 ms 3672 KB Output is correct
51 Correct 35 ms 3672 KB Output is correct
52 Correct 79 ms 23788 KB Output is correct
53 Correct 109 ms 32428 KB Output is correct
54 Correct 87 ms 32460 KB Output is correct
55 Correct 21 ms 3672 KB Output is correct
56 Correct 26 ms 3672 KB Output is correct
57 Correct 62 ms 23120 KB Output is correct
58 Correct 68 ms 23888 KB Output is correct
59 Correct 66 ms 23888 KB Output is correct
60 Correct 82 ms 32452 KB Output is correct
61 Correct 83 ms 32336 KB Output is correct
62 Correct 84 ms 32336 KB Output is correct
63 Correct 87 ms 32516 KB Output is correct
64 Correct 21 ms 3660 KB Output is correct
65 Correct 27 ms 3672 KB Output is correct
66 Correct 24 ms 3484 KB Output is correct
67 Correct 21 ms 3704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 4035 ms 23628 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 240 ms 6880 KB Output is correct
2 Correct 835 ms 23888 KB Output is correct
3 Correct 862 ms 23876 KB Output is correct
4 Correct 736 ms 32336 KB Output is correct
5 Correct 783 ms 32408 KB Output is correct
6 Correct 755 ms 32464 KB Output is correct
7 Correct 741 ms 32336 KB Output is correct
8 Correct 526 ms 3672 KB Output is correct
9 Correct 550 ms 3676 KB Output is correct
10 Correct 684 ms 3680 KB Output is correct
11 Correct 680 ms 3672 KB Output is correct
12 Correct 68 ms 23888 KB Output is correct
13 Correct 86 ms 32336 KB Output is correct
14 Correct 92 ms 32336 KB Output is correct
15 Correct 20 ms 3672 KB Output is correct
16 Correct 25 ms 3700 KB Output is correct
17 Correct 73 ms 23376 KB Output is correct
18 Correct 73 ms 23884 KB Output is correct
19 Correct 65 ms 23788 KB Output is correct
20 Correct 80 ms 32336 KB Output is correct
21 Correct 85 ms 32364 KB Output is correct
22 Correct 90 ms 32336 KB Output is correct
23 Correct 79 ms 32336 KB Output is correct
24 Correct 20 ms 3672 KB Output is correct
25 Correct 20 ms 3672 KB Output is correct
26 Correct 23 ms 3672 KB Output is correct
27 Correct 20 ms 3608 KB Output is correct
28 Correct 2 ms 856 KB Output is correct
29 Correct 2 ms 1112 KB Output is correct
30 Correct 2 ms 1112 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 2 ms 1112 KB Output is correct
35 Correct 3 ms 856 KB Output is correct
36 Correct 2 ms 1112 KB Output is correct
37 Correct 2 ms 1112 KB Output is correct
38 Correct 2 ms 1112 KB Output is correct
39 Correct 2 ms 1368 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Correct 1 ms 876 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 1112 KB Output is correct
5 Correct 2 ms 1112 KB Output is correct
6 Correct 2 ms 1184 KB Output is correct
7 Correct 2 ms 1176 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 1112 KB Output is correct
17 Correct 2 ms 1112 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 2 ms 856 KB Output is correct
21 Correct 3 ms 1112 KB Output is correct
22 Correct 2 ms 1112 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 2 ms 924 KB Output is correct
27 Correct 2 ms 856 KB Output is correct
28 Correct 2 ms 1120 KB Output is correct
29 Correct 2 ms 1112 KB Output is correct
30 Correct 2 ms 1112 KB Output is correct
31 Correct 2 ms 1124 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 452 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 356 KB Output is correct
36 Correct 50 ms 15920 KB Output is correct
37 Correct 76 ms 23904 KB Output is correct
38 Correct 74 ms 23908 KB Output is correct
39 Correct 100 ms 32516 KB Output is correct
40 Correct 101 ms 32456 KB Output is correct
41 Correct 96 ms 32552 KB Output is correct
42 Correct 95 ms 32360 KB Output is correct
43 Correct 20 ms 3672 KB Output is correct
44 Correct 20 ms 3684 KB Output is correct
45 Correct 42 ms 3660 KB Output is correct
46 Correct 23 ms 3664 KB Output is correct
47 Correct 73 ms 23748 KB Output is correct
48 Correct 83 ms 32384 KB Output is correct
49 Correct 88 ms 32336 KB Output is correct
50 Correct 28 ms 3672 KB Output is correct
51 Correct 35 ms 3672 KB Output is correct
52 Correct 79 ms 23788 KB Output is correct
53 Correct 109 ms 32428 KB Output is correct
54 Correct 87 ms 32460 KB Output is correct
55 Correct 21 ms 3672 KB Output is correct
56 Correct 26 ms 3672 KB Output is correct
57 Correct 62 ms 23120 KB Output is correct
58 Correct 68 ms 23888 KB Output is correct
59 Correct 66 ms 23888 KB Output is correct
60 Correct 82 ms 32452 KB Output is correct
61 Correct 83 ms 32336 KB Output is correct
62 Correct 84 ms 32336 KB Output is correct
63 Correct 87 ms 32516 KB Output is correct
64 Correct 21 ms 3660 KB Output is correct
65 Correct 27 ms 3672 KB Output is correct
66 Correct 24 ms 3484 KB Output is correct
67 Correct 21 ms 3704 KB Output is correct
68 Execution timed out 4035 ms 23628 KB Time limit exceeded
69 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 321 ms 2136 KB Output is correct
2 Correct 703 ms 3672 KB Output is correct
3 Correct 725 ms 3672 KB Output is correct
4 Correct 632 ms 3668 KB Output is correct
5 Correct 579 ms 3672 KB Output is correct
6 Correct 578 ms 3684 KB Output is correct
7 Correct 586 ms 3656 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 1 ms 876 KB Output is correct
13 Correct 2 ms 856 KB Output is correct
14 Correct 2 ms 1112 KB Output is correct
15 Correct 2 ms 1112 KB Output is correct
16 Correct 2 ms 1184 KB Output is correct
17 Correct 2 ms 1176 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 2 ms 1112 KB Output is correct
26 Correct 2 ms 1112 KB Output is correct
27 Correct 2 ms 1112 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 2 ms 856 KB Output is correct
31 Correct 3 ms 1112 KB Output is correct
32 Correct 2 ms 1112 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 600 KB Output is correct
36 Correct 2 ms 924 KB Output is correct
37 Correct 2 ms 856 KB Output is correct
38 Correct 2 ms 1120 KB Output is correct
39 Correct 2 ms 1112 KB Output is correct
40 Correct 2 ms 1112 KB Output is correct
41 Correct 2 ms 1124 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 1 ms 452 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 1 ms 356 KB Output is correct
46 Correct 50 ms 15920 KB Output is correct
47 Correct 76 ms 23904 KB Output is correct
48 Correct 74 ms 23908 KB Output is correct
49 Correct 100 ms 32516 KB Output is correct
50 Correct 101 ms 32456 KB Output is correct
51 Correct 96 ms 32552 KB Output is correct
52 Correct 95 ms 32360 KB Output is correct
53 Correct 20 ms 3672 KB Output is correct
54 Correct 20 ms 3684 KB Output is correct
55 Correct 42 ms 3660 KB Output is correct
56 Correct 23 ms 3664 KB Output is correct
57 Correct 73 ms 23748 KB Output is correct
58 Correct 83 ms 32384 KB Output is correct
59 Correct 88 ms 32336 KB Output is correct
60 Correct 28 ms 3672 KB Output is correct
61 Correct 35 ms 3672 KB Output is correct
62 Correct 79 ms 23788 KB Output is correct
63 Correct 109 ms 32428 KB Output is correct
64 Correct 87 ms 32460 KB Output is correct
65 Correct 21 ms 3672 KB Output is correct
66 Correct 26 ms 3672 KB Output is correct
67 Correct 62 ms 23120 KB Output is correct
68 Correct 68 ms 23888 KB Output is correct
69 Correct 66 ms 23888 KB Output is correct
70 Correct 82 ms 32452 KB Output is correct
71 Correct 83 ms 32336 KB Output is correct
72 Correct 84 ms 32336 KB Output is correct
73 Correct 87 ms 32516 KB Output is correct
74 Correct 21 ms 3660 KB Output is correct
75 Correct 27 ms 3672 KB Output is correct
76 Correct 24 ms 3484 KB Output is correct
77 Correct 21 ms 3704 KB Output is correct
78 Execution timed out 4035 ms 23628 KB Time limit exceeded
79 Halted 0 ms 0 KB -