oj.uz

Submission #540730

# Submission time Handle Problem Language Result Execution time Memory
540730 2022-03-21T15:02:24 Z MrKustic Bulldozer (JOI17_bulldozer) C++14
25 / 100
 2000 ms 133552 KB 
#include <iostream>
#include <algorithm>
#include <vector>
 
const int maxN = 2e3;
 
struct Point {
    int x, y, w;
    Point(int x = 0, int y = 0, int w = 0) : x(x), y(y), w(w) {}
    friend std::istream& operator>>(std::istream& is, Point& p) {
        is >> p.x >> p.y >> p.w;
        return is;
    }
} p[maxN];
 
struct Vector {
    int x, y;
    Vector(int x = 0, int y = 0) : x(x), y(y) {}
    Vector(const Point& p1, const Point& p2) : x(p2.x - p1.x), y(p2.y - p1.y) {}
    void normalize() {
        if (y < 0 || (y == 0 && x < 0)) {
            x = -x;
            y = -y;
        }
    }
};
 
struct Query {
    Vector v;
    std::vector<int> id;
} q[maxN * maxN / 2];
 
struct Item {
    long long min, max;
} t[4 * maxN + 4];
 
int n, it, a[maxN], b[maxN], c[maxN * maxN / 2];
long long pr[maxN + 1], ans, s;
std::pair<Vector, int> v[maxN];
std::vector<std::pair<int, int>> que;
 
long long crossp(const Vector& v1, const Vector& v2) {
    return 1LL * v1.x * v2.y - 1LL * v1.y * v2.x;
}
 
bool cmp(const std::pair<Vector, int>& a, const std::pair<Vector, int>& b) {
    return crossp(a.first, b.first) > 0;
}
 
bool cmp1(int i, int j) {
    return crossp(q[i].v, q[j].v) > 0;
}
 
bool cmp2(int i, int j) {
    Vector v0 = q[c[0]].v, v1 = Vector(p[q[c[0]].id[0]], p[i]), v2 = Vector(p[q[c[0]].id[0]], p[j]);
    long long c1 = crossp(v0, v1), c2 = crossp(v0, v2);
    if (c1 != c2)
        return c1 < c2;
    std::swap(v0.x, v0.y);
    v0.x = -v0.x;
    return crossp(v0, v1) > crossp(v0, v2);
}
 
void build(int i, int tl, int tr) {
    if (tr - tl == 1) {
        t[i].min = t[i].max = pr[tl];
        return;
    }
    int tm = (tl + tr) / 2;
    build(2 * i + 1, tl, tm);
    build(2 * i + 2, tm, tr);
    t[i].min = std::min(t[2 * i + 1].min, t[2 * i + 2].min);
    t[i].max = std::max(t[2 * i + 1].max, t[2 * i + 2].max);
}
 
void update(int i, int tl, int tr, int id) {
    if (tr - tl == 1) {
        t[i].min = t[i].max = pr[id];
        return;
    }
    int tm = (tl + tr) / 2;
    if (id < tm)
        update(2 * i + 1, tl, tm, id);
    else
        update(2 * i + 2, tm, tr, id);
    t[i].min = std::min(t[2 * i + 1].min, t[2 * i + 2].min);
    t[i].max = std::max(t[2 * i + 1].max, t[2 * i + 2].max);
}
 
long long getmin(int i, int tl, int tr, int l, int r) {
    if (l <= tl && tr <= r)
        return t[i].min;
    if (r <= tl || tr <= l)
        return 1e18;
    int tm = (tl + tr) / 2;
    return std::min(getmin(2 * i + 1, tl, tm, l, r), getmin(2 * i + 2, tm, tr, l, r));
}
 
long long getmax(int i, int tl, int tr, int l, int r) {
    if (l <= tl && tr <= r)
        return t[i].max;
    if (r <= tl || tr <= l)
        return -1e18;
    int tm = (tl + tr) / 2;
    return std::max(getmax(2 * i + 1, tl, tm, l, r), getmax(2 * i + 2, tm, tr, l, r));
}
 
int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(0);
    std::cout.tie(0);
    std::cin >> n;
    for (int i = 0; i < n; i++) {
        std::cin >> p[i];
        a[i] = i;
    }
    if (n == 1) {
        std::cout << std::max(0, p[0].w);
        return 0;
    }
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            v[j] = { Vector(p[i], p[j]), j };
            v[j].first.normalize();
        }
        v[i] = v[n - 1];
        std::sort(v, v + n - 1, cmp);
        for (int l = 0, r = 0, id = i; l < n - 1; l = r, id = i) {
            while (r < n - 1 && crossp(v[l].first, v[r].first) == 0) {
                id = std::min(id, v[r].second);
                r++;
            }
            if (id == i) {
                q[it].v = v[l].first;
                q[it].id.push_back(i);
                for (int j = l; j < r; j++)
                    q[it].id.push_back(v[j].second);
                c[it] = it;
                it++;
            }
        }
    }
    std::sort(c, c + it, cmp1);
    std::sort(a, a + n, cmp2);
    for (int i = 0; i < n; i++) {
        b[a[i]] = i;
        pr[i + 1] = pr[i] + p[a[i]].w;
        ans = std::max(ans, pr[i + 1] - s);
        s = std::min(s, pr[i + 1]);
    }
    build(0, 0, n + 1);
    for (int i = 0; i < it; i++) {
        int id = c[i], l = n, r = 0;
        for (int j : q[id].id) {
            l = std::min(l, b[j]);
            r = std::max(r, b[j]);
        }
        r++;
        std::reverse(a + l, a + r);
        for (int j = l; j < r; j++) {
            b[a[j]] = j;
            pr[j + 1] = pr[j] + p[a[j]].w;
            update(0, 0, n + 1, j + 1);
        }
        que.push_back({ l, r });
        if (i + 1 == it || crossp(q[id].v, q[c[i + 1]].v) != 0) {
            std::sort(que.begin(), que.end());
            for (int j = 0; j < que.size(); j++) {
                l = que[j].first;
                r = que[j].second;
                s = getmin(0, 0, n + 1, 0, l + 1);
                for (int h = l; h < r; h++) {
                    ans = std::max(ans, pr[h + 1] - s);
                    s = std::min(s, pr[h + 1]);
                }
            }
            if (!que.empty() && que.back().second != n) {
                s = getmin(0, 0, n + 1, 0, que.back().second + 1);
                long long temp = getmax(0, 0, n + 1, que.back().second + 1, n + 1);
                ans = std::max(ans, temp - s);
            }
            que.clear();
        }
    }
    std::cout << ans;
    return 0;
}

Compilation message

bulldozer.cpp: In function 'int main()':
bulldozer.cpp:168:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  168 |             for (int j = 0; j < que.size(); j++) {
      |                             ~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 63084 KB Output is correct
2 Correct 35 ms 62932 KB Output is correct
3 Correct 41 ms 63004 KB Output is correct
4 Correct 35 ms 63000 KB Output is correct
5 Correct 34 ms 62932 KB Output is correct
6 Correct 36 ms 62924 KB Output is correct
7 Correct 35 ms 62932 KB Output is correct
8 Correct 35 ms 63004 KB Output is correct
9 Correct 36 ms 62924 KB Output is correct
10 Correct 35 ms 62960 KB Output is correct
11 Correct 35 ms 62996 KB Output is correct
12 Correct 34 ms 62924 KB Output is correct
13 Correct 36 ms 62932 KB Output is correct
14 Correct 35 ms 62980 KB Output is correct
15 Correct 35 ms 62912 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 63160 KB Output is correct
2 Correct 37 ms 63076 KB Output is correct
3 Correct 38 ms 63068 KB Output is correct
4 Correct 37 ms 63108 KB Output is correct
5 Correct 41 ms 63188 KB Output is correct
6 Correct 37 ms 63180 KB Output is correct
7 Correct 38 ms 63052 KB Output is correct
8 Correct 39 ms 63124 KB Output is correct
9 Correct 43 ms 63052 KB Output is correct
10 Correct 37 ms 63124 KB Output is correct
11 Correct 34 ms 62996 KB Output is correct
12 Correct 34 ms 63060 KB Output is correct
13 Correct 35 ms 62964 KB Output is correct
14 Correct 35 ms 62912 KB Output is correct
15 Correct 37 ms 62940 KB Output is correct
16 Correct 35 ms 63008 KB Output is correct
17 Correct 33 ms 62924 KB Output is correct
18 Correct 35 ms 62976 KB Output is correct
19 Correct 36 ms 62932 KB Output is correct
20 Correct 40 ms 62908 KB Output is correct
21 Correct 37 ms 63176 KB Output is correct
22 Correct 37 ms 63188 KB Output is correct
23 Correct 36 ms 63120 KB Output is correct
24 Correct 38 ms 63108 KB Output is correct
25 Correct 37 ms 63188 KB Output is correct
26 Correct 38 ms 63088 KB Output is correct
27 Correct 38 ms 63124 KB Output is correct
28 Correct 36 ms 63180 KB Output is correct
29 Correct 36 ms 63144 KB Output is correct
30 Correct 38 ms 63084 KB Output is correct
31 Correct 37 ms 63120 KB Output is correct
32 Correct 39 ms 63052 KB Output is correct

Subtask #3
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 63160 KB Output is correct
2 Correct 37 ms 63076 KB Output is correct
3 Correct 38 ms 63068 KB Output is correct
4 Correct 37 ms 63108 KB Output is correct
5 Correct 41 ms 63188 KB Output is correct
6 Correct 37 ms 63180 KB Output is correct
7 Correct 38 ms 63052 KB Output is correct
8 Correct 39 ms 63124 KB Output is correct
9 Correct 43 ms 63052 KB Output is correct
10 Correct 37 ms 63124 KB Output is correct
11 Correct 34 ms 62996 KB Output is correct
12 Correct 34 ms 63060 KB Output is correct
13 Correct 35 ms 62964 KB Output is correct
14 Correct 35 ms 62912 KB Output is correct
15 Correct 37 ms 62940 KB Output is correct
16 Correct 35 ms 63008 KB Output is correct
17 Correct 33 ms 62924 KB Output is correct
18 Correct 35 ms 62976 KB Output is correct
19 Correct 36 ms 62932 KB Output is correct
20 Correct 40 ms 62908 KB Output is correct
21 Correct 37 ms 63176 KB Output is correct
22 Correct 37 ms 63188 KB Output is correct
23 Correct 36 ms 63120 KB Output is correct
24 Correct 38 ms 63108 KB Output is correct
25 Correct 37 ms 63188 KB Output is correct
26 Correct 38 ms 63088 KB Output is correct
27 Correct 38 ms 63124 KB Output is correct
28 Correct 36 ms 63180 KB Output is correct
29 Correct 36 ms 63144 KB Output is correct
30 Correct 38 ms 63084 KB Output is correct
31 Correct 37 ms 63120 KB Output is correct
32 Correct 39 ms 63052 KB Output is correct
33 Execution timed out 2075 ms 133552 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 63160 KB Output is correct
2 Correct 37 ms 63076 KB Output is correct
3 Correct 38 ms 63068 KB Output is correct
4 Correct 37 ms 63108 KB Output is correct
5 Correct 41 ms 63188 KB Output is correct
6 Correct 37 ms 63180 KB Output is correct
7 Correct 38 ms 63052 KB Output is correct
8 Correct 39 ms 63124 KB Output is correct
9 Correct 43 ms 63052 KB Output is correct
10 Correct 37 ms 63124 KB Output is correct
11 Correct 34 ms 62996 KB Output is correct
12 Correct 34 ms 63060 KB Output is correct
13 Correct 35 ms 62964 KB Output is correct
14 Correct 35 ms 62912 KB Output is correct
15 Correct 37 ms 62940 KB Output is correct
16 Correct 35 ms 63008 KB Output is correct
17 Correct 33 ms 62924 KB Output is correct
18 Correct 35 ms 62976 KB Output is correct
19 Correct 36 ms 62932 KB Output is correct
20 Correct 40 ms 62908 KB Output is correct
21 Correct 37 ms 63176 KB Output is correct
22 Correct 37 ms 63188 KB Output is correct
23 Correct 36 ms 63120 KB Output is correct
24 Correct 38 ms 63108 KB Output is correct
25 Correct 37 ms 63188 KB Output is correct
26 Correct 38 ms 63088 KB Output is correct
27 Correct 38 ms 63124 KB Output is correct
28 Correct 36 ms 63180 KB Output is correct
29 Correct 36 ms 63144 KB Output is correct
30 Correct 38 ms 63084 KB Output is correct
31 Correct 37 ms 63120 KB Output is correct
32 Correct 39 ms 63052 KB Output is correct
33 Execution timed out 2075 ms 133552 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 63084 KB Output is correct
2 Correct 35 ms 62932 KB Output is correct
3 Correct 41 ms 63004 KB Output is correct
4 Correct 35 ms 63000 KB Output is correct
5 Correct 34 ms 62932 KB Output is correct
6 Correct 36 ms 62924 KB Output is correct
7 Correct 35 ms 62932 KB Output is correct
8 Correct 35 ms 63004 KB Output is correct
9 Correct 36 ms 62924 KB Output is correct
10 Correct 35 ms 62960 KB Output is correct
11 Correct 35 ms 62996 KB Output is correct
12 Correct 34 ms 62924 KB Output is correct
13 Correct 36 ms 62932 KB Output is correct
14 Correct 35 ms 62980 KB Output is correct
15 Correct 35 ms 62912 KB Output is correct
16 Correct 38 ms 63160 KB Output is correct
17 Correct 37 ms 63076 KB Output is correct
18 Correct 38 ms 63068 KB Output is correct
19 Correct 37 ms 63108 KB Output is correct
20 Correct 41 ms 63188 KB Output is correct
21 Correct 37 ms 63180 KB Output is correct
22 Correct 38 ms 63052 KB Output is correct
23 Correct 39 ms 63124 KB Output is correct
24 Correct 43 ms 63052 KB Output is correct
25 Correct 37 ms 63124 KB Output is correct
26 Correct 34 ms 62996 KB Output is correct
27 Correct 34 ms 63060 KB Output is correct
28 Correct 35 ms 62964 KB Output is correct
29 Correct 35 ms 62912 KB Output is correct
30 Correct 37 ms 62940 KB Output is correct
31 Correct 35 ms 63008 KB Output is correct
32 Correct 33 ms 62924 KB Output is correct
33 Correct 35 ms 62976 KB Output is correct
34 Correct 36 ms 62932 KB Output is correct
35 Correct 40 ms 62908 KB Output is correct
36 Correct 37 ms 63176 KB Output is correct
37 Correct 37 ms 63188 KB Output is correct
38 Correct 36 ms 63120 KB Output is correct
39 Correct 38 ms 63108 KB Output is correct
40 Correct 37 ms 63188 KB Output is correct
41 Correct 38 ms 63088 KB Output is correct
42 Correct 38 ms 63124 KB Output is correct
43 Correct 36 ms 63180 KB Output is correct
44 Correct 36 ms 63144 KB Output is correct
45 Correct 38 ms 63084 KB Output is correct
46 Correct 37 ms 63120 KB Output is correct
47 Correct 39 ms 63052 KB Output is correct
48 Execution timed out 2075 ms 133552 KB Time limit exceeded
49 Halted 0 ms 0 KB -