Submission #1031681

# Submission time Handle Problem Language Result Execution time Memory
1031681 2024-07-23T04:00:24 Z caterpillow Street Lamps (APIO19_street_lamps) C++17
100 / 100
2798 ms 475328 KB
#include <bits/stdc++.h>

using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

using db = long double;
using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end() 
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;

namespace treap {
    using ptr = struct Node*;
    struct Node {
        ptr l, r;
        int i;
        ll val, lazy;
        int lo, hi;

        Node(int i, ptr l, ptr r) : i(i), l(l), r(r), lo(i), hi(i) {
            val = lazy = 0;
            if (l) lo = l->lo;
            if (r) hi = r->hi;
        }
    };

    void inc(ptr n, int lo, int hi, ll v) {
        if (!n) return;
        if (lo > n->hi || hi < n->lo) return;
        if (lo <= n->lo && n->hi <= hi) {
            n->lazy += v;
            return;
        }
        if (lo <= n->i && n->i <= hi) n->val += v;
        inc(n->l, lo, hi, v);
        inc(n->r, lo, hi, v);
    }

    ll query(ptr n, int i) {
        if (n->i == i) return n->val + n->lazy;
        if (i <= n->i) return n->lazy + query(n->l, i);
        else return n->lazy + query(n->r, i);
    }

    ptr build(vt<int>& a, int l, int r) {
        if (l > r) return 0;
        int m = (l + r) / 2;
        return new Node(a[m], build(a, l, m - 1), build(a, m + 1, r));
    }
}

struct SegTree {
    int n;
    vt<vt<int>> todo;
    vt<treap::ptr> seg;
    void init(int _n) {
        for (n = 1; n < _n; n *= 2);
        todo.resize(2 * n);
        seg.resize(2 * n);
    }
    void load(int l, int r) {
        todo[l += n].pb(r);
        while (l /= 2) todo[l].pb(r);
    }
    void build() {
        FOR (i, 1, 2 * n) {
            seg[i] = treap::build(todo[i], 0, size(todo[i]) - 1);
        }
    }
    void upd(int l1, int l2, int r1, int r2, int v) {
        for (l1 += n, l2 += n + 1; l1 < l2; l1 /= 2, l2 /= 2) {
            if (l1 & 1) treap::inc(seg[l1++], r1, r2, v);
            if (l2 & 1) treap::inc(seg[--l2], r1, r2, v);
        }
    } 
    ll query(int l, int r) {
        ll res = treap::query(seg[l += n], r);
        while (l /= 2) res += treap::query(seg[l], r);
        return res;
    }
};

struct BIT {
    int n; vt<ll> arr;
    void init(int _n) {
        n = _n;
        arr.resize(n);
    }
    ll sum(int r) {
        ll s = 0;
        while (r) {
            s += arr[r - 1];
            r -= r & -r;
        }
        return s;
    }
    void add(int p, ll x) {
        for (++p; p <= n; p += p & -p) arr[p - 1] += x;
    }
    ll sum(int l, int r) {
        return sum(r + 1) - sum(l);
    }
};

main() {
    cin.tie(0)->sync_with_stdio(0);
    
    int n, q; cin >> n >> q;
    vt<int> state(n);
    BIT bit;
    bit.init(n);
    F0R (i, n) {
        char c; cin >> c;
        state[i] = (c == '1');
    }

    set<int> dead {-1, n};

    vt<pi> queries(q);
    vt<pi> pts;
    
    F0R (i, q) {
        string t; cin >> t;
        if (t == "query") {
            int l, r; cin >> l >> r; l--, r--;
            queries[i] = {l, r - 1};
            pts.pb({r - 1, l});
        } else if (t == "toggle") {
            int j; cin >> j;
            queries[i] = {j - 1, -1};
        } else assert(0);
    }

    sort(all(pts));
    pts.erase(unique(all(pts)), pts.end());

    SegTree seg; 
    seg.init(n);
    for (auto [r, l] : pts) seg.load(l, r);
    seg.build();

    auto enable = [&] (int i, int t) {
        state[i] = true;
        dead.erase(i);
        bit.add(i, 1);
        if (t) {
            auto it = dead.lower_bound(i);
            int nxt = *it, prv = *prev(it);
            seg.upd(prv + 1, i, i, nxt - 1, -t);
        }
    };

    auto disable = [&] (int i, int t) {
        if (t) bit.add(i, -1);
        auto it = dead.lower_bound(i);
        int nxt = *it;
        int prv = *prev(it);
        seg.upd(prv + 1, i, i, nxt - 1, t);
        state[i] = false;
        dead.insert(i);
    };

    F0R (i, n) {
        if (state[i]) enable(i, 0);
        else disable(i, 0);
    }

    int t = 0;
    for (auto [x, y] : queries) {
        t++;
        if (y == -1) {
            if (state[x] == 0) {
                enable(x, t);
            } else {
                disable(x, t);
            }
        } else {
            if (bit.sum(x, y) == y - x + 1) {
                cout << seg.query(x, y) + t << endl;
            } else {
                cout << seg.query(x, y) << endl;
            }
        }
    }
}

Compilation message

street_lamps.cpp: In constructor 'treap::Node::Node(int, treap::ptr, treap::ptr)':
street_lamps.cpp:29:13: warning: 'treap::Node::i' will be initialized after [-Wreorder]
   29 |         int i;
      |             ^
street_lamps.cpp:28:13: warning:   'treap::Node* treap::Node::l' [-Wreorder]
   28 |         ptr l, r;
      |             ^
street_lamps.cpp:33:9: warning:   when initialized here [-Wreorder]
   33 |         Node(int i, ptr l, ptr r) : i(i), l(l), r(r), lo(i), hi(i) {
      |         ^~~~
street_lamps.cpp: At global scope:
street_lamps.cpp:118:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  118 | main() {
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 8136 KB Output is correct
2 Correct 96 ms 8644 KB Output is correct
3 Correct 194 ms 14532 KB Output is correct
4 Correct 1184 ms 220616 KB Output is correct
5 Correct 1486 ms 243584 KB Output is correct
6 Correct 896 ms 193996 KB Output is correct
7 Correct 2260 ms 330012 KB Output is correct
8 Correct 2083 ms 316992 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 2 ms 1112 KB Output is correct
5 Correct 269 ms 62280 KB Output is correct
6 Correct 856 ms 182252 KB Output is correct
7 Correct 1789 ms 302736 KB Output is correct
8 Correct 2655 ms 462792 KB Output is correct
9 Correct 84 ms 10636 KB Output is correct
10 Correct 92 ms 10692 KB Output is correct
11 Correct 102 ms 14784 KB Output is correct
12 Correct 2774 ms 475328 KB Output is correct
13 Correct 2744 ms 463272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 2694 ms 464452 KB Output is correct
6 Correct 1749 ms 345296 KB Output is correct
7 Correct 1014 ms 221240 KB Output is correct
8 Correct 251 ms 55088 KB Output is correct
9 Correct 181 ms 61068 KB Output is correct
10 Correct 82 ms 8528 KB Output is correct
11 Correct 184 ms 61132 KB Output is correct
12 Correct 78 ms 8536 KB Output is correct
13 Correct 181 ms 61132 KB Output is correct
14 Correct 85 ms 8528 KB Output is correct
15 Correct 2798 ms 475300 KB Output is correct
16 Correct 2690 ms 462844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 82 ms 8136 KB Output is correct
9 Correct 96 ms 8644 KB Output is correct
10 Correct 194 ms 14532 KB Output is correct
11 Correct 1184 ms 220616 KB Output is correct
12 Correct 1486 ms 243584 KB Output is correct
13 Correct 896 ms 193996 KB Output is correct
14 Correct 2260 ms 330012 KB Output is correct
15 Correct 2083 ms 316992 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 2 ms 1112 KB Output is correct
20 Correct 269 ms 62280 KB Output is correct
21 Correct 856 ms 182252 KB Output is correct
22 Correct 1789 ms 302736 KB Output is correct
23 Correct 2655 ms 462792 KB Output is correct
24 Correct 84 ms 10636 KB Output is correct
25 Correct 92 ms 10692 KB Output is correct
26 Correct 102 ms 14784 KB Output is correct
27 Correct 2774 ms 475328 KB Output is correct
28 Correct 2744 ms 463272 KB Output is correct
29 Correct 2 ms 1116 KB Output is correct
30 Correct 1 ms 1116 KB Output is correct
31 Correct 1 ms 860 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 2694 ms 464452 KB Output is correct
34 Correct 1749 ms 345296 KB Output is correct
35 Correct 1014 ms 221240 KB Output is correct
36 Correct 251 ms 55088 KB Output is correct
37 Correct 181 ms 61068 KB Output is correct
38 Correct 82 ms 8528 KB Output is correct
39 Correct 184 ms 61132 KB Output is correct
40 Correct 78 ms 8536 KB Output is correct
41 Correct 181 ms 61132 KB Output is correct
42 Correct 85 ms 8528 KB Output is correct
43 Correct 2798 ms 475300 KB Output is correct
44 Correct 2690 ms 462844 KB Output is correct
45 Correct 45 ms 5328 KB Output is correct
46 Correct 79 ms 7712 KB Output is correct
47 Correct 713 ms 142652 KB Output is correct
48 Correct 1427 ms 262092 KB Output is correct
49 Correct 98 ms 13248 KB Output is correct
50 Correct 102 ms 12500 KB Output is correct
51 Correct 118 ms 14784 KB Output is correct
52 Correct 236 ms 94392 KB Output is correct
53 Correct 207 ms 95536 KB Output is correct
54 Correct 208 ms 94828 KB Output is correct