Submission #1056267

# Submission time Handle Problem Language Result Execution time Memory
1056267 2024-08-13T08:32:59 Z Forested Radio Towers (IOI22_towers) C++17
37 / 100
4000 ms 7860 KB
#include <bits/stdc++.h>
using namespace std;

using i32 = int;
using i64 = long long;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = V<V<T>>;
template <typename T>
using VVV = V<V<V<T>>>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

#define OVERRIDE4(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, l, r) for (i32 i = (i32)(l); i < (i32)(r); ++i)
#define REP(...) OVERRIDE4(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER2(i, n) for (i32 i = (i32)(n)-1; i >= 0; --i)
#define PER3(i, l, r) for (i32 i = (i32)(r)-1; i >= (i32)(l); --i)
#define PER(...) OVERRIDE4(__VA_ARGS__, PER3, PER2)(__VA_ARGS__)
#define ALL(x) begin(x), end(x)
#define LEN(x) (i32) size(x)

void dbg(i32 x) { cerr << x; }
void dbg(i64 x) { cerr << x; }
template <typename T, typename U>
void dbg(pair<T, U> p) {
    cerr << '(' << p.first << ", " << p.second << ')';
}
template <typename T>
void dbg(V<T> arr) {
    cerr << '[';
    REP(i, LEN(arr)) {
        if (i) {
            cerr << ", ";
        }
        dbg(arr[i]);
    }
    cerr << ']';
}
void debug() { cerr << '\n'; }
template <typename Head, typename... Tail>
void debug(Head head, Tail... tail) {
    dbg(head);
    cerr << ", ";
    debug(tail...);
}
#ifdef DEBUGF
#define DBG(...)                       \
    do {                               \
        cerr << #__VA_ARGS__ << " : "; \
        debug(__VA_ARGS__);            \
    } while (false)
#else
#define DBG(...) (void)0
#endif

#include "towers.h"

constexpr i32 INF = 1001001001;

template <typename T>
i32 lob(const V<T> &arr, T v) {
    return (i32)(lower_bound(ALL(arr), v) - begin(arr));
}
template <typename T>
i32 upb(const V<T> &arr, T v) {
    return (i32)(upper_bound(ALL(arr), v) - begin(arr));
}


struct RMQ {
    i32 n;
    V<i32> dat;
    
    RMQ(i32 n) : n(n), dat(2 * n, -INF) {}
    
    void update(i32 idx, i32 val) {
        idx += n;
        dat[idx] = val;
        while ((idx /= 2) >= 1) {
            dat[idx] = max(dat[2 * idx], dat[2 * idx + 1]);
        }
    }
    
    i32 rmq(i32 l, i32 r) const {
        l += n;
        r += n;
        i32 m = -INF;
        while (l < r) {
            if (l & 1) {
                chmax(m, dat[l++]);
            }
            if (r & 1) {
                chmax(m, dat[--r]);
            }
            l /= 2;
            r /= 2;
        }
        return m;
    }
    
    void trc() const {
        V<i32> arr(n + ALL(dat));
        DBG(arr);
    }
};

i32 n;
V<i32> h;
V<i32> psum;

void init(i32 _n, V<i32> _h) {
    n = _n;
    h = _h;
    
    psum.resize(n + 1, 0);
    REP(i, n) {
        psum[i + 1] = psum[i] + (0 < i && i < n - 1 && h[i - 1] < h[i] && h[i] > h[i + 1]);
    }
}

i32 max_towers(i32 l, i32 r, i32 delta) {
    ++r;
    if (r - l == 1) {
        return 1;
    }
    
    if (delta == 1) {
        i32 ans = psum[r - 1] - psum[l + 1] + 1;
        return ans;
    }
    
    V<i32> g(begin(h) + l, begin(h) + r);
    i32 m = r - l;
    
    V<i32> hs;
    hs.reserve(3 * m);
    REP(i, m) {
        hs.push_back(g[i] - delta);
        hs.push_back(g[i]);
        hs.push_back(g[i] + delta);
    }
    sort(ALL(hs));
    hs.erase(unique(ALL(hs)), end(hs));
    i32 k = LEN(hs);
    RMQ down(k);
    RMQ up(k);
    
    REP(i, m) {
        i32 d = max(1, up.rmq(lob(hs, g[i] + delta), k) + 1);
        i32 u = down.rmq(0, lob(hs, g[i] - delta) + 1);
        i32 idx = lob(hs, g[i]);
        down.update(idx, d);
        up.update(idx, u);
    }
    i32 ans = down.rmq(0, k);
    return ans;
}
# Verdict Execution time Memory Grader output
1 Execution timed out 4027 ms 4796 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 432 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 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 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 432 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 416 KB Output is correct
34 Correct 2 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 432 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 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 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 432 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 416 KB Output is correct
34 Correct 2 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 17 ms 2232 KB Output is correct
37 Correct 41 ms 3788 KB Output is correct
38 Correct 16 ms 2256 KB Output is correct
39 Correct 30 ms 3536 KB Output is correct
40 Correct 14 ms 2412 KB Output is correct
41 Correct 63 ms 6752 KB Output is correct
42 Correct 8 ms 1880 KB Output is correct
43 Correct 26 ms 4812 KB Output is correct
44 Correct 17 ms 2232 KB Output is correct
45 Correct 8 ms 1880 KB Output is correct
46 Correct 14 ms 1964 KB Output is correct
47 Correct 14 ms 1880 KB Output is correct
48 Correct 8 ms 1880 KB Output is correct
49 Correct 9 ms 1960 KB Output is correct
50 Correct 7 ms 1880 KB Output is correct
51 Correct 11 ms 1880 KB Output is correct
52 Correct 14 ms 1832 KB Output is correct
53 Correct 8 ms 1860 KB Output is correct
54 Correct 8 ms 1880 KB Output is correct
55 Correct 7 ms 1860 KB Output is correct
56 Correct 7 ms 1880 KB Output is correct
57 Correct 83 ms 7380 KB Output is correct
58 Correct 94 ms 7800 KB Output is correct
59 Correct 88 ms 7796 KB Output is correct
60 Correct 93 ms 7860 KB Output is correct
61 Correct 89 ms 7856 KB Output is correct
62 Correct 90 ms 7852 KB Output is correct
63 Correct 96 ms 7856 KB Output is correct
64 Correct 44 ms 7800 KB Output is correct
65 Correct 62 ms 7776 KB Output is correct
66 Correct 48 ms 7804 KB Output is correct
67 Correct 45 ms 7632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 303 ms 1880 KB Output is correct
2 Correct 551 ms 1880 KB Output is correct
3 Correct 461 ms 2012 KB Output is correct
4 Correct 487 ms 1880 KB Output is correct
5 Correct 482 ms 1852 KB Output is correct
6 Correct 539 ms 1880 KB Output is correct
7 Correct 518 ms 1880 KB Output is correct
8 Correct 466 ms 1880 KB Output is correct
9 Correct 441 ms 1852 KB Output is correct
10 Correct 458 ms 1852 KB Output is correct
11 Correct 566 ms 1880 KB Output is correct
12 Correct 468 ms 1880 KB Output is correct
13 Correct 505 ms 1880 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 7 ms 1844 KB Output is correct
18 Correct 7 ms 1880 KB Output is correct
19 Correct 7 ms 1860 KB Output is correct
20 Correct 7 ms 1880 KB Output is correct
21 Correct 7 ms 1880 KB Output is correct
22 Correct 7 ms 1880 KB Output is correct
23 Correct 7 ms 1844 KB Output is correct
24 Correct 8 ms 1876 KB Output is correct
25 Correct 7 ms 1780 KB Output is correct
26 Correct 7 ms 1880 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 4045 ms 2404 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 432 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 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 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 432 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 416 KB Output is correct
34 Correct 2 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 17 ms 2232 KB Output is correct
37 Correct 41 ms 3788 KB Output is correct
38 Correct 16 ms 2256 KB Output is correct
39 Correct 30 ms 3536 KB Output is correct
40 Correct 14 ms 2412 KB Output is correct
41 Correct 63 ms 6752 KB Output is correct
42 Correct 8 ms 1880 KB Output is correct
43 Correct 26 ms 4812 KB Output is correct
44 Correct 17 ms 2232 KB Output is correct
45 Correct 8 ms 1880 KB Output is correct
46 Correct 14 ms 1964 KB Output is correct
47 Correct 14 ms 1880 KB Output is correct
48 Correct 8 ms 1880 KB Output is correct
49 Correct 9 ms 1960 KB Output is correct
50 Correct 7 ms 1880 KB Output is correct
51 Correct 11 ms 1880 KB Output is correct
52 Correct 14 ms 1832 KB Output is correct
53 Correct 8 ms 1860 KB Output is correct
54 Correct 8 ms 1880 KB Output is correct
55 Correct 7 ms 1860 KB Output is correct
56 Correct 7 ms 1880 KB Output is correct
57 Correct 83 ms 7380 KB Output is correct
58 Correct 94 ms 7800 KB Output is correct
59 Correct 88 ms 7796 KB Output is correct
60 Correct 93 ms 7860 KB Output is correct
61 Correct 89 ms 7856 KB Output is correct
62 Correct 90 ms 7852 KB Output is correct
63 Correct 96 ms 7856 KB Output is correct
64 Correct 44 ms 7800 KB Output is correct
65 Correct 62 ms 7776 KB Output is correct
66 Correct 48 ms 7804 KB Output is correct
67 Correct 45 ms 7632 KB Output is correct
68 Correct 303 ms 1880 KB Output is correct
69 Correct 551 ms 1880 KB Output is correct
70 Correct 461 ms 2012 KB Output is correct
71 Correct 487 ms 1880 KB Output is correct
72 Correct 482 ms 1852 KB Output is correct
73 Correct 539 ms 1880 KB Output is correct
74 Correct 518 ms 1880 KB Output is correct
75 Correct 466 ms 1880 KB Output is correct
76 Correct 441 ms 1852 KB Output is correct
77 Correct 458 ms 1852 KB Output is correct
78 Correct 566 ms 1880 KB Output is correct
79 Correct 468 ms 1880 KB Output is correct
80 Correct 505 ms 1880 KB Output is correct
81 Correct 0 ms 344 KB Output is correct
82 Correct 0 ms 344 KB Output is correct
83 Correct 0 ms 344 KB Output is correct
84 Correct 7 ms 1844 KB Output is correct
85 Correct 7 ms 1880 KB Output is correct
86 Correct 7 ms 1860 KB Output is correct
87 Correct 7 ms 1880 KB Output is correct
88 Correct 7 ms 1880 KB Output is correct
89 Correct 7 ms 1880 KB Output is correct
90 Correct 7 ms 1844 KB Output is correct
91 Correct 8 ms 1876 KB Output is correct
92 Correct 7 ms 1780 KB Output is correct
93 Correct 7 ms 1880 KB Output is correct
94 Correct 1 ms 344 KB Output is correct
95 Correct 0 ms 344 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Correct 1 ms 344 KB Output is correct
98 Correct 0 ms 344 KB Output is correct
99 Correct 0 ms 344 KB Output is correct
100 Correct 0 ms 344 KB Output is correct
101 Correct 0 ms 344 KB Output is correct
102 Correct 0 ms 344 KB Output is correct
103 Correct 0 ms 344 KB Output is correct
104 Execution timed out 4027 ms 6820 KB Time limit exceeded
105 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 4027 ms 4796 KB Time limit exceeded
2 Halted 0 ms 0 KB -