oj.uz

Submission #927405

# Submission time Handle Problem Language Result Execution time Memory
927405 2024-02-14T20:08:10 Z DAleksa Bulldozer (JOI17_bulldozer) C++17
80 / 100
 919 ms 68104 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

struct point {
    int x;
    int y;
    int w;
    bool operator < (point p) {
        if(x == p.x) return y > p.y;
        return x < p.x;
    }
};

struct frac {
    int p;
    int q;
    frac() { }
    frac(int _p, int _q) { p = _p; q = _q; }
};

struct node {
    long long mx;
    long long pref;
    long long suff;
    long long sum;
};

bool operator < (frac a, frac b) { return a.p * 1LL * b.q < b.p * 1LL * a.q; }
bool operator == (frac a, frac b) { return a.p * 1LL * b.q == a.q * 1LL * b.p; }
bool operator != (frac a, frac b) { return !(a == b); }

const int N = 2010;
int n;
point a[N];
vector<pair<frac, pair<int, int>>> slopes;
int order[N], pos[N];
node st[4 * N];

void update(int index, int l, int r, int x, int val) {
    if(l > r || r < x || x < l) return;
    if(l == r) {
        st[index].mx = st[index].pref = st[index].suff = max(val, 0LL);
        st[index].sum = val;
        return;
    }
    int mid = (l + r) / 2;
    if(x <= mid) update(2 * index, l, mid, x, val);
    else update(2 * index + 1, mid + 1, r, x, val);
    st[index].mx = max({st[2 * index].mx, st[2 * index + 1].mx, st[2 * index].suff + st[2 * index + 1].pref});
    st[index].pref = max(st[2 * index].pref, st[2 * index].sum + st[2 * index + 1].pref);
    st[index].suff = max(st[2 * index + 1].suff, st[2 * index + 1].sum + st[2 * index].suff);
    st[index].sum = st[2 * index].sum + st[2 * index + 1].sum;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    for(int i = 1; i <= n; i++) cin >> a[i].x >> a[i].y >> a[i].w;
    for(int i = 1; i <= n; i++) {
        for(int j = i + 1; j <= n; j++) {
            int sign = 1;
            int dx = a[i].x - a[j].x, dy = a[i].y - a[j].y;
            if(dx < 0) sign *= -1;
            if(dy < 0) sign *= -1;
            dx = abs(dx);
            dy = abs(dy);
            int g = __gcd(dx, dy);
            dx /= g;
            dy /= g;
            if(dx != 0) dy *= sign;
            if(a[i] < a[j]) slopes.push_back({frac(dy, dx), {i, j}});
            else slopes.push_back({frac(dy, dx), {j, i}});
        }
    }
    sort(slopes.begin(), slopes.end(), [&](pair<frac, pair<int, int>> x, pair<frac, pair<int, int>> y) {
        if(x.first == y.first) {
            pair<int, int> i = x.second, j = y.second;
            if(i.first == j.first) return a[i.second] < a[j.second];
            return a[i.first] < a[j.first];
        }
        return x.first < y.first;
    });
    for(int i = 1; i <= n; i++) order[i] = i;
    sort(order + 1, order + n + 1, [&](int i, int j) {
        return a[i] < a[j];
    });
    for(int i = 1; i <= n; i++) pos[order[i]] = i;
    for(int i = 1; i <= n; i++) update(1, 1, n, i, a[order[i]].w);
    long long ans = st[1].mx;
    pair<frac, pair<int, int>> lst;
    lst.first = frac(-1, LLONG_MIN);
    for(pair<frac, pair<int, int>> slope : slopes) {
        if(slope.first != lst.first) ans = max(ans, st[1].mx);
        {
            int i = slope.second.first, j = slope.second.second;
            if(pos[i] < pos[j]) {
                update(1, 1, n, pos[i], a[order[pos[j]]].w);
                update(1, 1, n, pos[j], a[order[pos[i]]].w);
                swap(order[pos[i]], order[pos[j]]);
                swap(pos[i], pos[j]);
            }
        }
        lst = slope;
    }
    ans = max(ans, st[1].mx);
    cout << ans;
    return 0;
}
/*

9
1 1 10
0 1 10
1 0 10
1 2 10
2 1 10
2 2 -1
0 2 -1
2 0 -1
0 0 -1

*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 2 ms 860 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 1112 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 2 ms 860 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 2 ms 860 KB Output is correct
29 Correct 2 ms 860 KB Output is correct
30 Correct 2 ms 860 KB Output is correct
31 Correct 2 ms 860 KB Output is correct
32 Correct 2 ms 860 KB Output is correct

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 2 ms 860 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 1112 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 2 ms 860 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 2 ms 860 KB Output is correct
29 Correct 2 ms 860 KB Output is correct
30 Correct 2 ms 860 KB Output is correct
31 Correct 2 ms 860 KB Output is correct
32 Correct 2 ms 860 KB Output is correct
33 Correct 872 ms 66472 KB Output is correct
34 Correct 862 ms 67752 KB Output is correct
35 Correct 863 ms 66720 KB Output is correct
36 Correct 897 ms 67492 KB Output is correct
37 Correct 882 ms 67944 KB Output is correct
38 Correct 867 ms 66580 KB Output is correct
39 Correct 861 ms 68008 KB Output is correct
40 Correct 893 ms 66420 KB Output is correct
41 Correct 865 ms 66260 KB Output is correct
42 Correct 867 ms 66336 KB Output is correct
43 Correct 830 ms 67496 KB Output is correct
44 Correct 841 ms 66976 KB Output is correct
45 Correct 828 ms 67240 KB Output is correct
46 Correct 826 ms 66728 KB Output is correct
47 Correct 840 ms 67108 KB Output is correct
48 Correct 837 ms 68004 KB Output is correct
49 Correct 831 ms 66984 KB Output is correct
50 Correct 845 ms 66628 KB Output is correct
51 Correct 850 ms 66472 KB Output is correct
52 Correct 832 ms 67992 KB Output is correct
53 Correct 843 ms 67580 KB Output is correct
54 Correct 839 ms 68104 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 2 ms 860 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 1112 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 2 ms 860 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 2 ms 860 KB Output is correct
29 Correct 2 ms 860 KB Output is correct
30 Correct 2 ms 860 KB Output is correct
31 Correct 2 ms 860 KB Output is correct
32 Correct 2 ms 860 KB Output is correct
33 Correct 872 ms 66472 KB Output is correct
34 Correct 862 ms 67752 KB Output is correct
35 Correct 863 ms 66720 KB Output is correct
36 Correct 897 ms 67492 KB Output is correct
37 Correct 882 ms 67944 KB Output is correct
38 Correct 867 ms 66580 KB Output is correct
39 Correct 861 ms 68008 KB Output is correct
40 Correct 893 ms 66420 KB Output is correct
41 Correct 865 ms 66260 KB Output is correct
42 Correct 867 ms 66336 KB Output is correct
43 Correct 830 ms 67496 KB Output is correct
44 Correct 841 ms 66976 KB Output is correct
45 Correct 828 ms 67240 KB Output is correct
46 Correct 826 ms 66728 KB Output is correct
47 Correct 840 ms 67108 KB Output is correct
48 Correct 837 ms 68004 KB Output is correct
49 Correct 831 ms 66984 KB Output is correct
50 Correct 845 ms 66628 KB Output is correct
51 Correct 850 ms 66472 KB Output is correct
52 Correct 832 ms 67992 KB Output is correct
53 Correct 843 ms 67580 KB Output is correct
54 Correct 839 ms 68104 KB Output is correct
55 Correct 868 ms 67520 KB Output is correct
56 Correct 860 ms 67284 KB Output is correct
57 Correct 871 ms 66464 KB Output is correct
58 Correct 866 ms 66980 KB Output is correct
59 Correct 871 ms 67240 KB Output is correct
60 Correct 918 ms 66660 KB Output is correct
61 Correct 892 ms 66728 KB Output is correct
62 Correct 856 ms 67496 KB Output is correct
63 Correct 898 ms 66220 KB Output is correct
64 Correct 858 ms 67900 KB Output is correct
65 Correct 861 ms 67792 KB Output is correct
66 Correct 898 ms 66572 KB Output is correct
67 Correct 849 ms 67340 KB Output is correct
68 Correct 862 ms 67080 KB Output is correct
69 Correct 859 ms 67496 KB Output is correct
70 Correct 853 ms 66520 KB Output is correct
71 Correct 867 ms 67092 KB Output is correct
72 Correct 854 ms 68000 KB Output is correct
73 Correct 853 ms 67748 KB Output is correct
74 Correct 858 ms 66776 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 2 ms 860 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 1112 KB Output is correct
39 Correct 2 ms 856 KB Output is correct
40 Correct 2 ms 860 KB Output is correct
41 Correct 2 ms 860 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 2 ms 860 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 872 ms 66472 KB Output is correct
49 Correct 862 ms 67752 KB Output is correct
50 Correct 863 ms 66720 KB Output is correct
51 Correct 897 ms 67492 KB Output is correct
52 Correct 882 ms 67944 KB Output is correct
53 Correct 867 ms 66580 KB Output is correct
54 Correct 861 ms 68008 KB Output is correct
55 Correct 893 ms 66420 KB Output is correct
56 Correct 865 ms 66260 KB Output is correct
57 Correct 867 ms 66336 KB Output is correct
58 Correct 830 ms 67496 KB Output is correct
59 Correct 841 ms 66976 KB Output is correct
60 Correct 828 ms 67240 KB Output is correct
61 Correct 826 ms 66728 KB Output is correct
62 Correct 840 ms 67108 KB Output is correct
63 Correct 837 ms 68004 KB Output is correct
64 Correct 831 ms 66984 KB Output is correct
65 Correct 845 ms 66628 KB Output is correct
66 Correct 850 ms 66472 KB Output is correct
67 Correct 832 ms 67992 KB Output is correct
68 Correct 843 ms 67580 KB Output is correct
69 Correct 839 ms 68104 KB Output is correct
70 Correct 868 ms 67520 KB Output is correct
71 Correct 860 ms 67284 KB Output is correct
72 Correct 871 ms 66464 KB Output is correct
73 Correct 866 ms 66980 KB Output is correct
74 Correct 871 ms 67240 KB Output is correct
75 Correct 918 ms 66660 KB Output is correct
76 Correct 892 ms 66728 KB Output is correct
77 Correct 856 ms 67496 KB Output is correct
78 Correct 898 ms 66220 KB Output is correct
79 Correct 858 ms 67900 KB Output is correct
80 Correct 861 ms 67792 KB Output is correct
81 Correct 898 ms 66572 KB Output is correct
82 Correct 849 ms 67340 KB Output is correct
83 Correct 862 ms 67080 KB Output is correct
84 Correct 859 ms 67496 KB Output is correct
85 Correct 853 ms 66520 KB Output is correct
86 Correct 867 ms 67092 KB Output is correct
87 Correct 854 ms 68000 KB Output is correct
88 Correct 853 ms 67748 KB Output is correct
89 Correct 858 ms 66776 KB Output is correct
90 Correct 865 ms 66724 KB Output is correct
91 Correct 852 ms 67072 KB Output is correct
92 Correct 919 ms 67748 KB Output is correct
93 Correct 861 ms 66492 KB Output is correct
94 Correct 852 ms 66720 KB Output is correct
95 Correct 890 ms 67236 KB Output is correct
96 Correct 891 ms 66212 KB Output is correct
97 Correct 859 ms 66216 KB Output is correct
98 Correct 867 ms 66700 KB Output is correct
99 Correct 885 ms 67956 KB Output is correct
100 Incorrect 340 ms 66740 KB Output isn't correct
101 Halted 0 ms 0 KB -