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Submission #926546

# Submission time Handle Problem Language Result Execution time Memory
926546 2024-02-13T09:08:59 Z TAhmed33 Street Lamps (APIO19_street_lamps) C++
100 / 100
 4038 ms 381364 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
struct Implicit {
    vector <int> tree, tl, tr; int cnt;
    int create () {
        ++cnt; tl.push_back(-1); tr.push_back(-1); tree.push_back(0); return cnt;
    }
    void init () {
        tree.push_back(0); tl.push_back(-1); tr.push_back(-1); cnt = 0;
    }
    void update (int l, int r, int a, int b, int node) {
        if (l == r) {
            tree[node] += b; return;
        }
        int mid = (l + r) >> 1;
        if (a <= mid) {
            if (tl[node] == -1) {
                int z = create(); tl[node] = z;
            } else tree[node] -= tree[tl[node]];
            update(l, mid, a, b, tl[node]);
            tree[node] += tree[tl[node]];
        } else {
            if (tr[node] == -1) {
                int z = create(); tr[node] = z; 
            }
            else tree[node] -= tree[tr[node]];
            update(mid + 1, r, a, b, tr[node]);
            tree[node] += tree[tr[node]];
        }
    }
    int get (int l, int r, int a, int b, int node) {
        if (l > b || r < a) return 0;
        if (l >= a && r <= b) return tree[node];
        int sum = 0, mid = (l + r) >> 1;
        if (tl[node] != -1) sum += get(l, mid, a, b, tl[node]);
        if (tr[node] != -1) sum += get(mid + 1, r, a, b, tr[node]);
        return sum;
    }
};
typedef long long ll;
const int MAXN = 3e5 + 25;
bool a[MAXN];
int n, q;
set <array <int, 3>> cur;
Implicit tree[MAXN << 1];
void init () {
    for (int i = 1; i <= n; i++) {
        if (!a[i]) continue;
        int j = i; while (j + 1 <= n && a[j + 1]) j++;
        cur.insert({i, j, 0});
        i = j;
    }
}   
void update (int l, int r, int a, int b, int c, int node) {
    tree[node].update(1, n, b, c, 0);
    if (l == r) return;
    int mid = (l + r) >> 1, tl = node + 1, tr = node + 2 * (mid - l + 1);
    if (a <= mid) update(l, mid, a, b, c, tl); 
    else update(mid + 1, r, a, b, c, tr);
}
int dfs (int l, int r, int a, int b, int c, int node) {
    if (l > b || r < a) return 0;
    if (l >= a && r <= b) return tree[node].get(1, n, c, n, 0);
    int mid = (l + r) >> 1, tl = node + 1, tr = node + 2 * (mid - l + 1);
    return dfs(l, mid, a, b, c, tl) + dfs(mid + 1, r, a, b, c, tr);
}
void add (array <int, 3> x, int y) {
    cur.erase(x);
    update(1, n, x[0], x[1], y - x[2], 1);
}
void insert (array <int, 3> x) {
    cur.insert(x);
}
int query (int l, int r, int x) { 
    int sum = dfs(1, n, 1, l, r, 1);
    auto z = cur.upper_bound({l, n + 1, 0});
    if (z != cur.begin()) {
        z--; auto g = *z; 
        if (g[0] <= l && r <= g[1]) sum += x - g[2];
    }
    return sum;
}
int main () {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> n >> q;
    for (int i = 1; i < 2 * n; i++) tree[i].init();
    for (int i = 1; i <= n; i++) {
        char x; cin >> x; a[i] = x == '1';
    }
    init();
    for (int t = 1; t <= q; t++) {
        string x; cin >> x;
        if (x == "query") {
            int l, r; cin >> l >> r; r--;
            cout << query(l, r, t) << '\n';
        } else {
            int x; cin >> x; a[x] ^= 1;
            if (!a[x]) {
                auto z = *(--cur.lower_bound({x + 1, 0, 0}));
                add(z, t); 
                auto l = z; l[2] = t; l[1] = x - 1;
                if (l[0] <= l[1]) insert(l);
                l = z; l[2] = t; l[0] = x + 1;
                if (l[0] <= l[1]) insert(l);
            } else {
                int mn = x, mx = x;
                if (x < n && a[x + 1]) {
                    auto z = *(cur.lower_bound({x + 1, x + 1, 0}));
                    add(z, t);
                    mx = z[1];
                }
                if (x > 1 && a[x - 1]) {
                    auto z = *(--cur.lower_bound({x, x, 0}));
                    add(z, t);
                    mn = z[0];
                }
                array <int, 3> z = {mn, mx, t};
                insert(z);
            }
        }   
    }
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 47204 KB Output is correct
2 Correct 10 ms 47220 KB Output is correct
3 Correct 10 ms 47192 KB Output is correct
4 Correct 10 ms 47452 KB Output is correct
5 Correct 10 ms 47236 KB Output is correct
6 Correct 10 ms 47452 KB Output is correct
7 Correct 10 ms 47196 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 48380 KB Output is correct
2 Correct 216 ms 48616 KB Output is correct
3 Correct 460 ms 55316 KB Output is correct
4 Correct 2457 ms 297164 KB Output is correct
5 Correct 2812 ms 324016 KB Output is correct
6 Correct 2690 ms 309620 KB Output is correct
7 Correct 289 ms 104528 KB Output is correct
8 Correct 286 ms 105868 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 47964 KB Output is correct
2 Correct 12 ms 47964 KB Output is correct
3 Correct 12 ms 47964 KB Output is correct
4 Correct 12 ms 47708 KB Output is correct
5 Correct 4019 ms 381364 KB Output is correct
6 Correct 3631 ms 367808 KB Output is correct
7 Correct 2648 ms 323008 KB Output is correct
8 Correct 279 ms 105872 KB Output is correct
9 Correct 81 ms 48300 KB Output is correct
10 Correct 87 ms 48108 KB Output is correct
11 Correct 88 ms 48252 KB Output is correct
12 Correct 281 ms 104676 KB Output is correct
13 Correct 278 ms 105808 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 47448 KB Output is correct
2 Correct 11 ms 47708 KB Output is correct
3 Correct 12 ms 48000 KB Output is correct
4 Correct 13 ms 47964 KB Output is correct
5 Correct 492 ms 120800 KB Output is correct
6 Correct 1490 ms 248396 KB Output is correct
7 Correct 2736 ms 309040 KB Output is correct
8 Correct 4038 ms 345764 KB Output is correct
9 Correct 238 ms 47956 KB Output is correct
10 Correct 187 ms 47544 KB Output is correct
11 Correct 239 ms 48020 KB Output is correct
12 Correct 187 ms 47448 KB Output is correct
13 Correct 248 ms 48044 KB Output is correct
14 Correct 188 ms 47524 KB Output is correct
15 Correct 277 ms 104528 KB Output is correct
16 Correct 281 ms 105972 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 47204 KB Output is correct
2 Correct 10 ms 47220 KB Output is correct
3 Correct 10 ms 47192 KB Output is correct
4 Correct 10 ms 47452 KB Output is correct
5 Correct 10 ms 47236 KB Output is correct
6 Correct 10 ms 47452 KB Output is correct
7 Correct 10 ms 47196 KB Output is correct
8 Correct 166 ms 48380 KB Output is correct
9 Correct 216 ms 48616 KB Output is correct
10 Correct 460 ms 55316 KB Output is correct
11 Correct 2457 ms 297164 KB Output is correct
12 Correct 2812 ms 324016 KB Output is correct
13 Correct 2690 ms 309620 KB Output is correct
14 Correct 289 ms 104528 KB Output is correct
15 Correct 286 ms 105868 KB Output is correct
16 Correct 13 ms 47964 KB Output is correct
17 Correct 12 ms 47964 KB Output is correct
18 Correct 12 ms 47964 KB Output is correct
19 Correct 12 ms 47708 KB Output is correct
20 Correct 4019 ms 381364 KB Output is correct
21 Correct 3631 ms 367808 KB Output is correct
22 Correct 2648 ms 323008 KB Output is correct
23 Correct 279 ms 105872 KB Output is correct
24 Correct 81 ms 48300 KB Output is correct
25 Correct 87 ms 48108 KB Output is correct
26 Correct 88 ms 48252 KB Output is correct
27 Correct 281 ms 104676 KB Output is correct
28 Correct 278 ms 105808 KB Output is correct
29 Correct 10 ms 47448 KB Output is correct
30 Correct 11 ms 47708 KB Output is correct
31 Correct 12 ms 48000 KB Output is correct
32 Correct 13 ms 47964 KB Output is correct
33 Correct 492 ms 120800 KB Output is correct
34 Correct 1490 ms 248396 KB Output is correct
35 Correct 2736 ms 309040 KB Output is correct
36 Correct 4038 ms 345764 KB Output is correct
37 Correct 238 ms 47956 KB Output is correct
38 Correct 187 ms 47544 KB Output is correct
39 Correct 239 ms 48020 KB Output is correct
40 Correct 187 ms 47448 KB Output is correct
41 Correct 248 ms 48044 KB Output is correct
42 Correct 188 ms 47524 KB Output is correct
43 Correct 277 ms 104528 KB Output is correct
44 Correct 281 ms 105972 KB Output is correct
45 Correct 76 ms 47700 KB Output is correct
46 Correct 111 ms 47600 KB Output is correct
47 Correct 1084 ms 149964 KB Output is correct
48 Correct 2408 ms 297184 KB Output is correct
49 Correct 96 ms 47956 KB Output is correct
50 Correct 95 ms 48056 KB Output is correct
51 Correct 97 ms 48060 KB Output is correct
52 Correct 102 ms 48188 KB Output is correct
53 Correct 103 ms 48152 KB Output is correct
54 Correct 104 ms 47956 KB Output is correct