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Submission #926368

# Submission time Handle Problem Language Result Execution time Memory
926368 2024-02-12T20:42:09 Z TAhmed33 Street Lamps (APIO19_street_lamps) C++
100 / 100
 4392 ms 383580 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 <vector <int>> 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 (vector <int> x, int y) {
    cur.erase(x);
    update(1, n, x[0], x[1], y - x[2], 1);
}
void insert (vector <int> 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];
                }
                vector <int> z = {mn, mx, t};
                insert(z);
            }
        }   
    }
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 47196 KB Output is correct
2 Correct 10 ms 47196 KB Output is correct
3 Correct 10 ms 47208 KB Output is correct
4 Correct 12 ms 47452 KB Output is correct
5 Correct 11 ms 47476 KB Output is correct
6 Correct 10 ms 47360 KB Output is correct
7 Correct 10 ms 47192 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 48464 KB Output is correct
2 Correct 250 ms 48576 KB Output is correct
3 Correct 553 ms 55152 KB Output is correct
4 Correct 2636 ms 304492 KB Output is correct
5 Correct 3009 ms 326540 KB Output is correct
6 Correct 2934 ms 317436 KB Output is correct
7 Correct 279 ms 104668 KB Output is correct
8 Correct 344 ms 106012 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 13 ms 48008 KB Output is correct
3 Correct 12 ms 47964 KB Output is correct
4 Correct 10 ms 47632 KB Output is correct
5 Correct 4392 ms 383580 KB Output is correct
6 Correct 4024 ms 370840 KB Output is correct
7 Correct 2949 ms 325232 KB Output is correct
8 Correct 303 ms 106408 KB Output is correct
9 Correct 90 ms 48476 KB Output is correct
10 Correct 97 ms 48232 KB Output is correct
11 Correct 97 ms 48464 KB Output is correct
12 Correct 278 ms 104532 KB Output is correct
13 Correct 283 ms 105808 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 47452 KB Output is correct
2 Correct 12 ms 47708 KB Output is correct
3 Correct 13 ms 48016 KB Output is correct
4 Correct 13 ms 47964 KB Output is correct
5 Correct 531 ms 122992 KB Output is correct
6 Correct 1683 ms 254244 KB Output is correct
7 Correct 2808 ms 317008 KB Output is correct
8 Correct 4336 ms 355252 KB Output is correct
9 Correct 277 ms 48208 KB Output is correct
10 Correct 236 ms 47548 KB Output is correct
11 Correct 281 ms 47952 KB Output is correct
12 Correct 229 ms 47568 KB Output is correct
13 Correct 276 ms 47956 KB Output is correct
14 Correct 228 ms 47452 KB Output is correct
15 Correct 274 ms 104616 KB Output is correct
16 Correct 285 ms 106052 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 47196 KB Output is correct
2 Correct 10 ms 47196 KB Output is correct
3 Correct 10 ms 47208 KB Output is correct
4 Correct 12 ms 47452 KB Output is correct
5 Correct 11 ms 47476 KB Output is correct
6 Correct 10 ms 47360 KB Output is correct
7 Correct 10 ms 47192 KB Output is correct
8 Correct 208 ms 48464 KB Output is correct
9 Correct 250 ms 48576 KB Output is correct
10 Correct 553 ms 55152 KB Output is correct
11 Correct 2636 ms 304492 KB Output is correct
12 Correct 3009 ms 326540 KB Output is correct
13 Correct 2934 ms 317436 KB Output is correct
14 Correct 279 ms 104668 KB Output is correct
15 Correct 344 ms 106012 KB Output is correct
16 Correct 13 ms 47964 KB Output is correct
17 Correct 13 ms 48008 KB Output is correct
18 Correct 12 ms 47964 KB Output is correct
19 Correct 10 ms 47632 KB Output is correct
20 Correct 4392 ms 383580 KB Output is correct
21 Correct 4024 ms 370840 KB Output is correct
22 Correct 2949 ms 325232 KB Output is correct
23 Correct 303 ms 106408 KB Output is correct
24 Correct 90 ms 48476 KB Output is correct
25 Correct 97 ms 48232 KB Output is correct
26 Correct 97 ms 48464 KB Output is correct
27 Correct 278 ms 104532 KB Output is correct
28 Correct 283 ms 105808 KB Output is correct
29 Correct 11 ms 47452 KB Output is correct
30 Correct 12 ms 47708 KB Output is correct
31 Correct 13 ms 48016 KB Output is correct
32 Correct 13 ms 47964 KB Output is correct
33 Correct 531 ms 122992 KB Output is correct
34 Correct 1683 ms 254244 KB Output is correct
35 Correct 2808 ms 317008 KB Output is correct
36 Correct 4336 ms 355252 KB Output is correct
37 Correct 277 ms 48208 KB Output is correct
38 Correct 236 ms 47548 KB Output is correct
39 Correct 281 ms 47952 KB Output is correct
40 Correct 229 ms 47568 KB Output is correct
41 Correct 276 ms 47956 KB Output is correct
42 Correct 228 ms 47452 KB Output is correct
43 Correct 274 ms 104616 KB Output is correct
44 Correct 285 ms 106052 KB Output is correct
45 Correct 90 ms 47880 KB Output is correct
46 Correct 127 ms 47592 KB Output is correct
47 Correct 1175 ms 152956 KB Output is correct
48 Correct 2485 ms 304508 KB Output is correct
49 Correct 110 ms 48096 KB Output is correct
50 Correct 104 ms 48044 KB Output is correct
51 Correct 107 ms 47940 KB Output is correct
52 Correct 107 ms 47952 KB Output is correct
53 Correct 108 ms 48124 KB Output is correct
54 Correct 106 ms 47956 KB Output is correct