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Submission #883490

# Submission time Handle Problem Language Result Execution time Memory
883490 2023-12-05T10:59:58 Z vjudge1 Ants and Sugar (JOI22_sugar) C++17
100 / 100
 850 ms 113192 KB 
// https://oj.uz/problem/view/JOI22_sugar

#include <bits/stdc++.h>
using namespace std;

/*
Hall's theorem
Answer = A - max(|S| - |NG(S)| )
*/

const int64_t inf = 1e18;

class segtree_t {
       public:
        segtree_t *left, *right;
        int l, r, m;
        int64_t x[2][2], lazyx, lazy_mid, mid;

        segtree_t(int l, int r) : l(l), r(r), m(l + r >> 1), lazy_mid(0), lazyx(0), mid(0) {
                for (int i = 0; i < 2; i++) {
                        for (int j = 0; j < 2; j++) {
                                x[i][j] = 0;
                        }
                }
                if (l == r) return;
                left = new segtree_t(l, m);
                right = new segtree_t(m + 1, r);
        }

        void Update(int s, int t, int64_t val) {
                if (l > t || r < s) return;
                if (s <= l && r <= t) {
                        for (int i = 0; i < 2; i++) {
                                for (int j = 0; j < 2; j++) {
                                        x[i][j] += val;
                                }
                        }
                        lazyx += val;
                        lazy_mid += val;
                        mid += val;
                        return;
                }
                Down();
                if (s <= m && m < t) mid += val;
                left->Update(s, t, val);
                right->Update(s, t, val);
                Up();
        }

        void Down() {
                for (int i = 0; i < 2; i++) {
                        for (int j = 0; j < 2; j++) {
                                left->x[i][j] += lazyx;
                                right->x[i][j] += lazyx;
                        }
                }
                left->lazy_mid += lazy_mid;
                left->lazyx += lazyx;
                left->mid += lazy_mid;
                right->lazy_mid += lazy_mid;
                right->lazyx += lazyx;
                right->mid += lazy_mid;
                lazy_mid = lazyx = 0;
        }

        void Up() {
                for (int i = 0; i < 2; i++) {
                        for (int j = 0; j < 2; j++) {
                                x[i][j] = -inf;
                                for (int k = 0; k < 2; k++) {
                                        x[i][j] = max<int64_t>(x[i][j], left->x[i][k] + right->x[k][j] - 1ll * k * mid);
                                }
                        }
                }
                for (int i = 0; i < 2; i++) {
                        x[i][0] = max(x[i][0], left->x[i][0]);
                        x[0][i] = max(x[0][i], right->x[0][i]);
                }
        }
};

int32_t main() {
        ios_base::sync_with_stdio(0);
        cin.tie(0);

        int q, L;
        cin >> q >> L;
        vector<int> t(q), a(q), x(q);
        for (int i = 0; i < q; i++) cin >> t[i] >> x[i] >> a[i];
        vector<int> cord;
        for (int i = 0; i < q; i++) {
                if (t[i] == 1) cord.emplace_back(x[i]);
        }
        sort(cord.begin(), cord.end());
        cord.resize(unique(cord.begin(), cord.end()) - cord.begin());
        int N = cord.size();

        segtree_t* tree = new segtree_t(0, N);

        int64_t A = 0;

        for (int i = 0; i < q; i++) {
                if (t[i] == 1) {
                        A += a[i];
                        int y = lower_bound(cord.begin(), cord.end(), x[i]) - cord.begin();
                        tree->Update(y, y, +a[i]);
                } else {
                        int u = lower_bound(cord.begin(), cord.end(), x[i] - L) - cord.begin();
                        int v = upper_bound(cord.begin(), cord.end(), x[i] + L) - cord.begin() - 1;
                        tree->Update(u, v, -a[i]);
                }
                cout << A - max<int64_t>(0, tree->x[0][0]) << '\n';
        }
}

Compilation message

sugar.cpp: In constructor 'segtree_t::segtree_t(int, int)':
sugar.cpp:19:51: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   19 |         segtree_t(int l, int r) : l(l), r(r), m(l + r >> 1), lazy_mid(0), lazyx(0), mid(0) {
      |                                                 ~~^~~
sugar.cpp:17:33: warning: 'segtree_t::lazy_mid' will be initialized after [-Wreorder]
   17 |         int64_t x[2][2], lazyx, lazy_mid, mid;
      |                                 ^~~~~~~~
sugar.cpp:17:26: warning:   'int64_t segtree_t::lazyx' [-Wreorder]
   17 |         int64_t x[2][2], lazyx, lazy_mid, mid;
      |                          ^~~~~
sugar.cpp:19:9: warning:   when initialized here [-Wreorder]
   19 |         segtree_t(int l, int r) : l(l), r(r), m(l + r >> 1), lazy_mid(0), lazyx(0), mid(0) {
      |         ^~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 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 2 ms 604 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 3 ms 856 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 3 ms 728 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 2 ms 472 KB Output is correct
16 Correct 3 ms 1112 KB Output is correct
17 Correct 3 ms 1112 KB Output is correct
18 Correct 2 ms 1116 KB Output is correct
19 Correct 2 ms 848 KB Output is correct
20 Correct 4 ms 1116 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 3 ms 1116 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 3 ms 1116 KB Output is correct
25 Correct 3 ms 860 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 462 ms 37436 KB Output is correct
5 Correct 176 ms 33420 KB Output is correct
6 Correct 510 ms 43396 KB Output is correct
7 Correct 194 ms 33740 KB Output is correct
8 Correct 666 ms 51760 KB Output is correct
9 Correct 376 ms 69204 KB Output is correct
10 Correct 639 ms 51304 KB Output is correct
11 Correct 381 ms 69164 KB Output is correct
12 Correct 172 ms 29652 KB Output is correct
13 Correct 238 ms 40700 KB Output is correct
14 Correct 396 ms 66000 KB Output is correct
15 Correct 369 ms 65620 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 161 ms 29556 KB Output is correct
3 Correct 229 ms 40648 KB Output is correct
4 Correct 369 ms 65832 KB Output is correct
5 Correct 385 ms 65996 KB Output is correct
6 Correct 463 ms 46288 KB Output is correct
7 Correct 24 ms 4444 KB Output is correct
8 Correct 213 ms 25036 KB Output is correct
9 Correct 350 ms 35984 KB Output is correct
10 Correct 647 ms 66764 KB Output is correct
11 Correct 637 ms 67020 KB Output is correct
12 Correct 663 ms 64044 KB Output is correct
13 Correct 686 ms 64016 KB Output is correct
14 Correct 662 ms 63992 KB Output is correct
15 Correct 626 ms 64020 KB Output is correct
16 Correct 647 ms 64280 KB Output is correct
17 Correct 713 ms 64216 KB Output is correct
18 Correct 794 ms 64424 KB Output is correct
19 Correct 778 ms 64068 KB Output is correct
20 Correct 746 ms 63988 KB Output is correct
21 Correct 850 ms 64104 KB Output is correct
22 Correct 793 ms 64204 KB Output is correct
23 Correct 809 ms 64000 KB Output is correct
24 Correct 514 ms 64060 KB Output is correct
25 Correct 721 ms 64164 KB Output is correct

Subtask #4
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 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 2 ms 604 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 3 ms 856 KB Output is correct
11 Correct 3 ms 856 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 3 ms 728 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 2 ms 472 KB Output is correct
16 Correct 3 ms 1112 KB Output is correct
17 Correct 3 ms 1112 KB Output is correct
18 Correct 2 ms 1116 KB Output is correct
19 Correct 2 ms 848 KB Output is correct
20 Correct 4 ms 1116 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 3 ms 1116 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 3 ms 1116 KB Output is correct
25 Correct 3 ms 860 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 462 ms 37436 KB Output is correct
30 Correct 176 ms 33420 KB Output is correct
31 Correct 510 ms 43396 KB Output is correct
32 Correct 194 ms 33740 KB Output is correct
33 Correct 666 ms 51760 KB Output is correct
34 Correct 376 ms 69204 KB Output is correct
35 Correct 639 ms 51304 KB Output is correct
36 Correct 381 ms 69164 KB Output is correct
37 Correct 172 ms 29652 KB Output is correct
38 Correct 238 ms 40700 KB Output is correct
39 Correct 396 ms 66000 KB Output is correct
40 Correct 369 ms 65620 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 161 ms 29556 KB Output is correct
43 Correct 229 ms 40648 KB Output is correct
44 Correct 369 ms 65832 KB Output is correct
45 Correct 385 ms 65996 KB Output is correct
46 Correct 463 ms 46288 KB Output is correct
47 Correct 24 ms 4444 KB Output is correct
48 Correct 213 ms 25036 KB Output is correct
49 Correct 350 ms 35984 KB Output is correct
50 Correct 647 ms 66764 KB Output is correct
51 Correct 637 ms 67020 KB Output is correct
52 Correct 663 ms 64044 KB Output is correct
53 Correct 686 ms 64016 KB Output is correct
54 Correct 662 ms 63992 KB Output is correct
55 Correct 626 ms 64020 KB Output is correct
56 Correct 647 ms 64280 KB Output is correct
57 Correct 713 ms 64216 KB Output is correct
58 Correct 794 ms 64424 KB Output is correct
59 Correct 778 ms 64068 KB Output is correct
60 Correct 746 ms 63988 KB Output is correct
61 Correct 850 ms 64104 KB Output is correct
62 Correct 793 ms 64204 KB Output is correct
63 Correct 809 ms 64000 KB Output is correct
64 Correct 514 ms 64060 KB Output is correct
65 Correct 721 ms 64164 KB Output is correct
66 Correct 315 ms 34768 KB Output is correct
67 Correct 425 ms 40716 KB Output is correct
68 Correct 495 ms 47616 KB Output is correct
69 Correct 430 ms 43360 KB Output is correct
70 Correct 676 ms 66840 KB Output is correct
71 Correct 639 ms 66864 KB Output is correct
72 Correct 705 ms 66932 KB Output is correct
73 Correct 698 ms 67104 KB Output is correct
74 Correct 121 ms 12832 KB Output is correct
75 Correct 316 ms 19396 KB Output is correct
76 Correct 764 ms 113192 KB Output is correct
77 Correct 761 ms 108620 KB Output is correct
78 Correct 774 ms 108712 KB Output is correct
79 Correct 712 ms 67312 KB Output is correct
80 Correct 767 ms 103316 KB Output is correct
81 Correct 692 ms 61636 KB Output is correct
82 Correct 773 ms 103088 KB Output is correct
83 Correct 799 ms 61828 KB Output is correct
84 Correct 822 ms 103208 KB Output is correct
85 Correct 810 ms 61900 KB Output is correct
86 Correct 805 ms 103352 KB Output is correct
87 Correct 832 ms 61772 KB Output is correct
88 Correct 759 ms 103756 KB Output is correct
89 Correct 767 ms 85448 KB Output is correct