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Submission #390814

# Submission time Handle Problem Language Result Execution time Memory
390814 2021-04-17T03:57:13 Z timmyfeng Fire (JOI20_ho_t5) C++17
100 / 100
 443 ms 51072 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 200001;

struct fenwick {
    vector<long long> tree;
    int n;

    fenwick(int n) : tree(n + 1), n(n) {}

    void update(int a, long long x) {
        for ( ; a <= n; a += a & -a) {
            tree[a] += x;
        }
    }

    long long query(int a) {
        long long sum = 0;
        for ( ; a > 0; a -= a & -a) {
            sum += tree[a];
        }
        return sum;
    }
};

vector<array<long long, 3>> queries[N];
vector<array<long long, 2>> updates[N];
long long s[N], ans[N];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, q;
    cin >> n >> q;

    for (int i = 1; i <= n; ++i) {
        cin >> s[i];
    }

    for (int i = 1; i <= q; ++i) {
        int t, l, r;
        cin >> t >> l >> r;
        queries[l - 1].push_back({t, -1, i});
        queries[r].push_back({t, 1, i});
    }

    vector<int> stack;
    for (int i = 1; i <= n; ++i) {
        while (!stack.empty() && s[stack.back()] <= s[i]) {
            int j = stack.back();
            stack.pop_back();
            if (!stack.empty()) {
                int k = stack.back();
                updates[i].push_back({i - k, s[j] - s[k]});
            }
        }

        if (!stack.empty()) {
            int j = stack.back();
            updates[i].push_back({i - j, s[j] - s[i]});
        }

        stack.push_back(i);
    }

    long long prefix = 0;
    fenwick add_q(n), add_l(n), sub_q(n), sub_l(n);
    for (int i = 1; i <= n; ++i) {
        for (auto [j, k] : updates[i]) {
            add_l.update(i - j, k);
            add_q.update(i - j, (n - i + j) * k);
            if (j > 1) {
                sub_l.update(j - 1, k);
                sub_q.update(j - 1, (j - 1) * k);   
            }
        }

        prefix += s[i];

        for (auto [j, k, l] : queries[i]) {
            long long sum = prefix;
            sum += add_q.query(i) - add_q.query(i - j);
            sum -= (n - i) * (add_l.query(i) - add_l.query(i - j));
            sum += j * add_l.query(i - j);
            sum -= sub_q.query(j);
            sum -= j * (sub_l.query(n) - sub_l.query(j));
            ans[l] += k * sum;
        }
    }

    for (int i = 1; i <= q; ++i) {
        cout << ans[i] << "\n";
    }
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9716 KB Output is correct
2 Correct 7 ms 9680 KB Output is correct
3 Correct 7 ms 9676 KB Output is correct
4 Correct 7 ms 9696 KB Output is correct
5 Correct 7 ms 9712 KB Output is correct
6 Correct 7 ms 9720 KB Output is correct
7 Correct 7 ms 9736 KB Output is correct
8 Correct 7 ms 9736 KB Output is correct
9 Correct 7 ms 9676 KB Output is correct
10 Correct 7 ms 9676 KB Output is correct
11 Correct 7 ms 9700 KB Output is correct
12 Correct 8 ms 9712 KB Output is correct
13 Correct 7 ms 9676 KB Output is correct
14 Correct 8 ms 9676 KB Output is correct
15 Correct 7 ms 9676 KB Output is correct
16 Correct 6 ms 9672 KB Output is correct
17 Correct 7 ms 9676 KB Output is correct
18 Correct 7 ms 9712 KB Output is correct
19 Correct 7 ms 9716 KB Output is correct
20 Correct 7 ms 9728 KB Output is correct
21 Correct 7 ms 9728 KB Output is correct
22 Correct 7 ms 9720 KB Output is correct
23 Correct 7 ms 9676 KB Output is correct
24 Correct 7 ms 9668 KB Output is correct
25 Correct 6 ms 9676 KB Output is correct
26 Correct 7 ms 9676 KB Output is correct
27 Correct 6 ms 9676 KB Output is correct
28 Correct 7 ms 9676 KB Output is correct
29 Correct 7 ms 9676 KB Output is correct
30 Correct 7 ms 9804 KB Output is correct
31 Correct 7 ms 9716 KB Output is correct
32 Correct 7 ms 9676 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9716 KB Output is correct
2 Correct 338 ms 50156 KB Output is correct
3 Correct 321 ms 49984 KB Output is correct
4 Correct 371 ms 50464 KB Output is correct
5 Correct 358 ms 50500 KB Output is correct
6 Correct 339 ms 49956 KB Output is correct
7 Correct 350 ms 50692 KB Output is correct
8 Correct 359 ms 50612 KB Output is correct
9 Correct 343 ms 50760 KB Output is correct
10 Correct 339 ms 49944 KB Output is correct
11 Correct 331 ms 50924 KB Output is correct
12 Correct 348 ms 49704 KB Output is correct
13 Correct 336 ms 50148 KB Output is correct
14 Correct 336 ms 49972 KB Output is correct
15 Correct 333 ms 50264 KB Output is correct
16 Correct 385 ms 50024 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9716 KB Output is correct
2 Correct 384 ms 49608 KB Output is correct
3 Correct 374 ms 48708 KB Output is correct
4 Correct 366 ms 49984 KB Output is correct
5 Correct 359 ms 48816 KB Output is correct
6 Correct 372 ms 49092 KB Output is correct
7 Correct 355 ms 49280 KB Output is correct
8 Correct 397 ms 49476 KB Output is correct
9 Correct 362 ms 49028 KB Output is correct
10 Correct 358 ms 48580 KB Output is correct
11 Correct 363 ms 49840 KB Output is correct
12 Correct 355 ms 49172 KB Output is correct
13 Correct 364 ms 49796 KB Output is correct
14 Correct 358 ms 49020 KB Output is correct
15 Correct 362 ms 49480 KB Output is correct
16 Correct 359 ms 48924 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 42172 KB Output is correct
2 Correct 330 ms 41976 KB Output is correct
3 Correct 349 ms 42808 KB Output is correct
4 Correct 354 ms 42564 KB Output is correct
5 Correct 358 ms 42400 KB Output is correct
6 Correct 333 ms 41868 KB Output is correct
7 Correct 330 ms 42404 KB Output is correct
8 Correct 421 ms 42524 KB Output is correct
9 Correct 360 ms 42376 KB Output is correct
10 Correct 335 ms 42120 KB Output is correct
11 Correct 344 ms 42648 KB Output is correct
12 Correct 363 ms 42580 KB Output is correct
13 Correct 367 ms 42380 KB Output is correct
14 Correct 347 ms 42600 KB Output is correct

Subtask #5
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9716 KB Output is correct
2 Correct 7 ms 9680 KB Output is correct
3 Correct 7 ms 9676 KB Output is correct
4 Correct 7 ms 9696 KB Output is correct
5 Correct 7 ms 9712 KB Output is correct
6 Correct 7 ms 9720 KB Output is correct
7 Correct 7 ms 9736 KB Output is correct
8 Correct 7 ms 9736 KB Output is correct
9 Correct 7 ms 9676 KB Output is correct
10 Correct 7 ms 9676 KB Output is correct
11 Correct 7 ms 9700 KB Output is correct
12 Correct 8 ms 9712 KB Output is correct
13 Correct 7 ms 9676 KB Output is correct
14 Correct 8 ms 9676 KB Output is correct
15 Correct 7 ms 9676 KB Output is correct
16 Correct 6 ms 9672 KB Output is correct
17 Correct 7 ms 9676 KB Output is correct
18 Correct 7 ms 9712 KB Output is correct
19 Correct 7 ms 9716 KB Output is correct
20 Correct 7 ms 9728 KB Output is correct
21 Correct 7 ms 9728 KB Output is correct
22 Correct 7 ms 9720 KB Output is correct
23 Correct 7 ms 9676 KB Output is correct
24 Correct 7 ms 9668 KB Output is correct
25 Correct 6 ms 9676 KB Output is correct
26 Correct 7 ms 9676 KB Output is correct
27 Correct 6 ms 9676 KB Output is correct
28 Correct 7 ms 9676 KB Output is correct
29 Correct 7 ms 9676 KB Output is correct
30 Correct 7 ms 9804 KB Output is correct
31 Correct 7 ms 9716 KB Output is correct
32 Correct 7 ms 9676 KB Output is correct
33 Correct 338 ms 50156 KB Output is correct
34 Correct 321 ms 49984 KB Output is correct
35 Correct 371 ms 50464 KB Output is correct
36 Correct 358 ms 50500 KB Output is correct
37 Correct 339 ms 49956 KB Output is correct
38 Correct 350 ms 50692 KB Output is correct
39 Correct 359 ms 50612 KB Output is correct
40 Correct 343 ms 50760 KB Output is correct
41 Correct 339 ms 49944 KB Output is correct
42 Correct 331 ms 50924 KB Output is correct
43 Correct 348 ms 49704 KB Output is correct
44 Correct 336 ms 50148 KB Output is correct
45 Correct 336 ms 49972 KB Output is correct
46 Correct 333 ms 50264 KB Output is correct
47 Correct 385 ms 50024 KB Output is correct
48 Correct 384 ms 49608 KB Output is correct
49 Correct 374 ms 48708 KB Output is correct
50 Correct 366 ms 49984 KB Output is correct
51 Correct 359 ms 48816 KB Output is correct
52 Correct 372 ms 49092 KB Output is correct
53 Correct 355 ms 49280 KB Output is correct
54 Correct 397 ms 49476 KB Output is correct
55 Correct 362 ms 49028 KB Output is correct
56 Correct 358 ms 48580 KB Output is correct
57 Correct 363 ms 49840 KB Output is correct
58 Correct 355 ms 49172 KB Output is correct
59 Correct 364 ms 49796 KB Output is correct
60 Correct 358 ms 49020 KB Output is correct
61 Correct 362 ms 49480 KB Output is correct
62 Correct 359 ms 48924 KB Output is correct
63 Correct 345 ms 42172 KB Output is correct
64 Correct 330 ms 41976 KB Output is correct
65 Correct 349 ms 42808 KB Output is correct
66 Correct 354 ms 42564 KB Output is correct
67 Correct 358 ms 42400 KB Output is correct
68 Correct 333 ms 41868 KB Output is correct
69 Correct 330 ms 42404 KB Output is correct
70 Correct 421 ms 42524 KB Output is correct
71 Correct 360 ms 42376 KB Output is correct
72 Correct 335 ms 42120 KB Output is correct
73 Correct 344 ms 42648 KB Output is correct
74 Correct 363 ms 42580 KB Output is correct
75 Correct 367 ms 42380 KB Output is correct
76 Correct 347 ms 42600 KB Output is correct
77 Correct 418 ms 50140 KB Output is correct
78 Correct 418 ms 51008 KB Output is correct
79 Correct 443 ms 50420 KB Output is correct
80 Correct 406 ms 50216 KB Output is correct
81 Correct 390 ms 49864 KB Output is correct
82 Correct 414 ms 50308 KB Output is correct
83 Correct 395 ms 50048 KB Output is correct
84 Correct 419 ms 50204 KB Output is correct
85 Correct 421 ms 50240 KB Output is correct
86 Correct 412 ms 50332 KB Output is correct
87 Correct 364 ms 51056 KB Output is correct
88 Correct 347 ms 50568 KB Output is correct
89 Correct 381 ms 49876 KB Output is correct
90 Correct 336 ms 50392 KB Output is correct
91 Correct 349 ms 49804 KB Output is correct
92 Correct 339 ms 49656 KB Output is correct
93 Correct 340 ms 50024 KB Output is correct
94 Correct 356 ms 51072 KB Output is correct
95 Correct 350 ms 51016 KB Output is correct
96 Correct 349 ms 50372 KB Output is correct
97 Correct 356 ms 50348 KB Output is correct
98 Correct 353 ms 49476 KB Output is correct
99 Correct 364 ms 49676 KB Output is correct
100 Correct 400 ms 50112 KB Output is correct
101 Correct 356 ms 49604 KB Output is correct
102 Correct 380 ms 50576 KB Output is correct