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Submission #883489

# Submission time Handle Problem Language Result Execution time Memory
883489 2023-12-05T10:59:15 Z vjudge1 Ants and Sugar (JOI22_sugar) C++17
100 / 100
 903 ms 118332 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:21:51: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   21 |         segtree_t(int l, int r) : l(l), r(r), m(l + r >> 1), lazy_mid(0), lazyx(0), mid(0) {
      |                                                 ~~^~~
sugar.cpp:19:33: warning: 'segtree_t::lazy_mid' will be initialized after [-Wreorder]
   19 |         int64_t x[2][2], lazyx, lazy_mid, mid;
      |                                 ^~~~~~~~
sugar.cpp:19:26: warning:   'int64_t segtree_t::lazyx' [-Wreorder]
   19 |         int64_t x[2][2], lazyx, lazy_mid, mid;
      |                          ^~~~~
sugar.cpp:21:9: warning:   when initialized here [-Wreorder]
   21 |         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 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 856 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 1 ms 548 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 980 KB Output is correct
17 Correct 3 ms 1116 KB Output is correct
18 Correct 3 ms 968 KB Output is correct
19 Correct 3 ms 860 KB Output is correct
20 Correct 2 ms 1116 KB Output is correct
21 Correct 2 ms 812 KB Output is correct
22 Correct 3 ms 1116 KB Output is correct
23 Correct 3 ms 1112 KB Output is correct
24 Correct 2 ms 976 KB Output is correct
25 Correct 3 ms 856 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 396 ms 32244 KB Output is correct
5 Correct 171 ms 34160 KB Output is correct
6 Correct 492 ms 45256 KB Output is correct
7 Correct 172 ms 34456 KB Output is correct
8 Correct 602 ms 53284 KB Output is correct
9 Correct 390 ms 71356 KB Output is correct
10 Correct 599 ms 53300 KB Output is correct
11 Correct 397 ms 71084 KB Output is correct
12 Correct 161 ms 30328 KB Output is correct
13 Correct 237 ms 41932 KB Output is correct
14 Correct 391 ms 68040 KB Output is correct
15 Correct 425 ms 67880 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 175 ms 26168 KB Output is correct
3 Correct 225 ms 41676 KB Output is correct
4 Correct 414 ms 67764 KB Output is correct
5 Correct 383 ms 67740 KB Output is correct
6 Correct 497 ms 47928 KB Output is correct
7 Correct 24 ms 4444 KB Output is correct
8 Correct 200 ms 25552 KB Output is correct
9 Correct 344 ms 36864 KB Output is correct
10 Correct 676 ms 69164 KB Output is correct
11 Correct 664 ms 69168 KB Output is correct
12 Correct 662 ms 69072 KB Output is correct
13 Correct 688 ms 69084 KB Output is correct
14 Correct 668 ms 69072 KB Output is correct
15 Correct 678 ms 68900 KB Output is correct
16 Correct 667 ms 69064 KB Output is correct
17 Correct 749 ms 69084 KB Output is correct
18 Correct 840 ms 69172 KB Output is correct
19 Correct 807 ms 69128 KB Output is correct
20 Correct 772 ms 69212 KB Output is correct
21 Correct 813 ms 69048 KB Output is correct
22 Correct 838 ms 69232 KB Output is correct
23 Correct 816 ms 69108 KB Output is correct
24 Correct 534 ms 69004 KB Output is correct
25 Correct 726 ms 69192 KB Output is correct

Subtask #4
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 856 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 1 ms 548 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 980 KB Output is correct
17 Correct 3 ms 1116 KB Output is correct
18 Correct 3 ms 968 KB Output is correct
19 Correct 3 ms 860 KB Output is correct
20 Correct 2 ms 1116 KB Output is correct
21 Correct 2 ms 812 KB Output is correct
22 Correct 3 ms 1116 KB Output is correct
23 Correct 3 ms 1112 KB Output is correct
24 Correct 2 ms 976 KB Output is correct
25 Correct 3 ms 856 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 396 ms 32244 KB Output is correct
30 Correct 171 ms 34160 KB Output is correct
31 Correct 492 ms 45256 KB Output is correct
32 Correct 172 ms 34456 KB Output is correct
33 Correct 602 ms 53284 KB Output is correct
34 Correct 390 ms 71356 KB Output is correct
35 Correct 599 ms 53300 KB Output is correct
36 Correct 397 ms 71084 KB Output is correct
37 Correct 161 ms 30328 KB Output is correct
38 Correct 237 ms 41932 KB Output is correct
39 Correct 391 ms 68040 KB Output is correct
40 Correct 425 ms 67880 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 175 ms 26168 KB Output is correct
43 Correct 225 ms 41676 KB Output is correct
44 Correct 414 ms 67764 KB Output is correct
45 Correct 383 ms 67740 KB Output is correct
46 Correct 497 ms 47928 KB Output is correct
47 Correct 24 ms 4444 KB Output is correct
48 Correct 200 ms 25552 KB Output is correct
49 Correct 344 ms 36864 KB Output is correct
50 Correct 676 ms 69164 KB Output is correct
51 Correct 664 ms 69168 KB Output is correct
52 Correct 662 ms 69072 KB Output is correct
53 Correct 688 ms 69084 KB Output is correct
54 Correct 668 ms 69072 KB Output is correct
55 Correct 678 ms 68900 KB Output is correct
56 Correct 667 ms 69064 KB Output is correct
57 Correct 749 ms 69084 KB Output is correct
58 Correct 840 ms 69172 KB Output is correct
59 Correct 807 ms 69128 KB Output is correct
60 Correct 772 ms 69212 KB Output is correct
61 Correct 813 ms 69048 KB Output is correct
62 Correct 838 ms 69232 KB Output is correct
63 Correct 816 ms 69108 KB Output is correct
64 Correct 534 ms 69004 KB Output is correct
65 Correct 726 ms 69192 KB Output is correct
66 Correct 318 ms 37328 KB Output is correct
67 Correct 406 ms 43648 KB Output is correct
68 Correct 503 ms 51124 KB Output is correct
69 Correct 452 ms 46840 KB Output is correct
70 Correct 662 ms 72100 KB Output is correct
71 Correct 662 ms 72112 KB Output is correct
72 Correct 666 ms 71984 KB Output is correct
73 Correct 709 ms 72368 KB Output is correct
74 Correct 121 ms 17848 KB Output is correct
75 Correct 319 ms 24492 KB Output is correct
76 Correct 761 ms 118332 KB Output is correct
77 Correct 804 ms 113880 KB Output is correct
78 Correct 783 ms 113752 KB Output is correct
79 Correct 725 ms 72128 KB Output is correct
80 Correct 856 ms 113828 KB Output is correct
81 Correct 704 ms 72104 KB Output is correct
82 Correct 849 ms 113800 KB Output is correct
83 Correct 855 ms 72488 KB Output is correct
84 Correct 832 ms 113908 KB Output is correct
85 Correct 903 ms 72564 KB Output is correct
86 Correct 833 ms 113860 KB Output is correct
87 Correct 893 ms 72464 KB Output is correct
88 Correct 785 ms 113744 KB Output is correct
89 Correct 796 ms 95776 KB Output is correct