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Submission #362394

# Submission time Handle Problem Language Result Execution time Memory
362394 2021-02-02T23:48:14 Z arbor Street Lamps (APIO19_street_lamps) C++17
100 / 100
 1414 ms 85264 KB 
#include <bits/stdc++.h>
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
#define eb emplace_back
#define pb push_back
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
const int MN = 3e5 + 5;
int N, Q, a[MN];
set<int> dat;

int b[MN];
void upd(int i, int v) { for (; i < MN; i += i & -i) b[i] += v; }
int qry(int i) { int r = 0; for (; i; i -= i & -i) r += b[i]; return r; }

struct Query {
    int x, y, v, id;
};
vector<Query> qs;

int ans[MN];

// maintain relative ordering in terms of queries
// split left right by x value
void cdq(int l, int r, vector<Query> &v) {
    if (v.empty() || l > r) return;
    int m = (l + r) / 2;
    vector<Query> vl, vr;
    for (auto q : v) {
        if (q.x <= m) {
            if (q.id == -1) upd(q.y, q.v);
            if (q.id != -1 && l == r) ans[q.id] += qry(q.y);
            vl.push_back(q);
        } else {
            if (q.id != -1) ans[q.id] += qry(q.y);
            vr.push_back(q);
        }
    }
    for (auto q : vl) if (q.id == -1) upd(q.y, -q.v);
    if (l < r) cdq(l, m, vl), cdq(m + 1, r, vr);
}

int main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    cin >> N >> Q;

    dat.insert(0), dat.insert(N + 1);
    for (int i = 1; i <= N; i++) {
        char c; cin >> c;
        a[i] = (c == '1');
        if (!a[i]) dat.insert(i);
    }

    int pos = 0;
    for (int i = 1; i <= Q; i++) {
        string op; cin >> op;
        if (op == "query") {
            int l, r; cin >> l >> r; r--;
            pos++;
            if (*dat.lower_bound(l) > r) ans[pos] += i;
            qs.push_back({l, r, -1, pos});
        } else {
            int x, u ,v, sgn; cin >> x;
            if (a[x]) {
                auto nxt = dat.lower_bound(x), pre = nxt;
                pre--;
                u = *pre, v = *nxt;
                dat.insert(x);
                a[x] = 0;
                sgn = 1;
            } else {
                auto it = dat.find(x), pre = it, nxt = it;
                pre--, nxt++;
                u = *pre, v = *nxt;
                dat.erase(x);
                a[x] = 1;
                sgn = -1;
            }
            // [u+1,x] * [x,v-1]
            qs.push_back({u + 1, x, sgn * i, -1});
            qs.push_back({u + 1, v, -sgn * i, -1});
            qs.push_back({x + 1, x, -sgn * i, -1});
            qs.push_back({x + 1, v, sgn * i, -1});
        }
    }

    cdq(1, N, qs);

    for (int i = 1; i <= pos; i++) cout << ans[i] << '\n';
    return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 420 ms 47520 KB Output is correct
2 Correct 478 ms 44368 KB Output is correct
3 Correct 590 ms 45884 KB Output is correct
4 Correct 990 ms 56188 KB Output is correct
5 Correct 813 ms 48620 KB Output is correct
6 Correct 1020 ms 59196 KB Output is correct
7 Correct 627 ms 39596 KB Output is correct
8 Correct 317 ms 29396 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 620 KB Output is correct
2 Correct 3 ms 620 KB Output is correct
3 Correct 2 ms 620 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 1414 ms 83096 KB Output is correct
6 Correct 1081 ms 57084 KB Output is correct
7 Correct 841 ms 49864 KB Output is correct
8 Correct 319 ms 29136 KB Output is correct
9 Correct 112 ms 19492 KB Output is correct
10 Correct 144 ms 22240 KB Output is correct
11 Correct 126 ms 21592 KB Output is correct
12 Correct 597 ms 43080 KB Output is correct
13 Correct 311 ms 30672 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 2 ms 620 KB Output is correct
3 Correct 3 ms 620 KB Output is correct
4 Correct 4 ms 620 KB Output is correct
5 Correct 513 ms 37212 KB Output is correct
6 Correct 771 ms 48948 KB Output is correct
7 Correct 983 ms 59932 KB Output is correct
8 Correct 1267 ms 85264 KB Output is correct
9 Correct 623 ms 51552 KB Output is correct
10 Correct 627 ms 71768 KB Output is correct
11 Correct 610 ms 51948 KB Output is correct
12 Correct 622 ms 74392 KB Output is correct
13 Correct 618 ms 52540 KB Output is correct
14 Correct 647 ms 74764 KB Output is correct
15 Correct 575 ms 43336 KB Output is correct
16 Correct 307 ms 28880 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 420 ms 47520 KB Output is correct
9 Correct 478 ms 44368 KB Output is correct
10 Correct 590 ms 45884 KB Output is correct
11 Correct 990 ms 56188 KB Output is correct
12 Correct 813 ms 48620 KB Output is correct
13 Correct 1020 ms 59196 KB Output is correct
14 Correct 627 ms 39596 KB Output is correct
15 Correct 317 ms 29396 KB Output is correct
16 Correct 4 ms 620 KB Output is correct
17 Correct 3 ms 620 KB Output is correct
18 Correct 2 ms 620 KB Output is correct
19 Correct 2 ms 492 KB Output is correct
20 Correct 1414 ms 83096 KB Output is correct
21 Correct 1081 ms 57084 KB Output is correct
22 Correct 841 ms 49864 KB Output is correct
23 Correct 319 ms 29136 KB Output is correct
24 Correct 112 ms 19492 KB Output is correct
25 Correct 144 ms 22240 KB Output is correct
26 Correct 126 ms 21592 KB Output is correct
27 Correct 597 ms 43080 KB Output is correct
28 Correct 311 ms 30672 KB Output is correct
29 Correct 2 ms 492 KB Output is correct
30 Correct 2 ms 620 KB Output is correct
31 Correct 3 ms 620 KB Output is correct
32 Correct 4 ms 620 KB Output is correct
33 Correct 513 ms 37212 KB Output is correct
34 Correct 771 ms 48948 KB Output is correct
35 Correct 983 ms 59932 KB Output is correct
36 Correct 1267 ms 85264 KB Output is correct
37 Correct 623 ms 51552 KB Output is correct
38 Correct 627 ms 71768 KB Output is correct
39 Correct 610 ms 51948 KB Output is correct
40 Correct 622 ms 74392 KB Output is correct
41 Correct 618 ms 52540 KB Output is correct
42 Correct 647 ms 74764 KB Output is correct
43 Correct 575 ms 43336 KB Output is correct
44 Correct 307 ms 28880 KB Output is correct
45 Correct 214 ms 32592 KB Output is correct
46 Correct 281 ms 33296 KB Output is correct
47 Correct 537 ms 35144 KB Output is correct
48 Correct 934 ms 55860 KB Output is correct
49 Correct 140 ms 25044 KB Output is correct
50 Correct 137 ms 25408 KB Output is correct
51 Correct 143 ms 25940 KB Output is correct
52 Correct 154 ms 27788 KB Output is correct
53 Correct 149 ms 26976 KB Output is correct
54 Correct 150 ms 26976 KB Output is correct