oj.uz

Submission #644999

# Submission time Handle Problem Language Result Execution time Memory
644999 2022-09-25T18:56:16 Z pakhomovee Fireworks (APIO16_fireworks) C++17
100 / 100
 986 ms 140828 KB 
#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <cstdio>
#include <algorithm>
#include <functional>

using namespace std;

#define int long long

const int maxn = 300'000;

struct func {
    int k;
    int b;
    
    func(int k, int b): k(k), b(b) {}
    func(){}
    int get(int x) {
        return k * x + b;
    }
};

struct node {
    int x, y, add, sz;
    node* l = nullptr;
    node* r = nullptr;
    
    node(int x): x(x) {
        y = rand();
        add = 0;
        sz = 1;
    }
    node() {}
};

void push(node* v) {
    if (!v) return;
    if (v->l) {
        v->l->add += v->add;
    }
    if (v->r) {
        v->r->add += v->add;
    }
    v->x += v->add;
    v->add = 0;
}

int s(node* v) {
    if (!v) return 0;
    return v->sz;
}

void upd(node* v) {
    if (!v) return;
    v->sz = 1 + s(v->l) + s(v->r);
}

pair<node*, func> root[maxn];

node* merge(node* l, node* r) {
    if (!l) return r;
    if (!r) return l;
    if (l->y > r->y) {
        push(l);
        l->r = merge(l->r, r);
        upd(l);
        return l;
    }
    push(r);
    r->l = merge(l, r->l);
    upd(r);
    return r;
}

pair<node*, node*> split(node* v, int k) {
    if (!v) return { nullptr, nullptr };
    push(v);
    if (s(v->l) + 1 <= k) {
        pair<node*, node*> q = split(v->r, k - s(v->l) - 1);
        v->r = q.first;
        upd(v);
        return { v, q.second };
    }
    pair<node*, node*> q = split(v->l, k);
    v->l = q.second;
    upd(v);
    return { q.first, v };
}

pair<node*, node*> split1(node* v, int k) {
    if (!v) return { nullptr, nullptr };
    push(v);
    if (v->x <= k) {
        pair<node*, node*> q = split1(v->r, k);
        v->r = q.first;
        upd(v);
        return { v, q.second };
    }
    pair<node*, node*> q = split1(v->l, k);
    v->l = q.second;
    upd(v);
    return { q.first, v };
}

void add(node*& root, int x) {
    pair<node*, node*> q = split1(root, x);
    node* t = new node(x);
    root = merge(q.first, merge(t, q.second));
}

int back(node* v) {
    push(v);
    if (v->r) {
        return back(v->r);
    }
    return v->x;
}

void walk(node* v, vector<int> &x) {
    if (!v) return;
    push(v);
    walk(v->l, x);
    x.push_back(v->x);
    walk(v->r, x);
}

void dfs(int v, vector<vector<pair<int, int>>> &g, int l) {
    sort(g[v].begin(), g[v].end(), [&] (pair<int, int> u, pair<int, int> v) {
        return s(root[u.first].first) > s(root[v.first].first);
    });
    root[v] = { nullptr, func(0, 0) };
    if (g[v].size() == 0) {
        root[v] = { nullptr, func(1, -l) };
        add(root[v].first, l);
        add(root[v].first, l);
    } else {
        for (auto [u, c] : g[v]) {
            dfs(u, g, c);
        }
        root[v] = root[g[v][0].first];
        for (int i = 1; i < g[v].size(); ++i) {
            root[v].second.k += root[g[v][i].first].second.k;
            root[v].second.b += root[g[v][i].first].second.b;
            vector<int> x;
            walk(root[g[v][i].first].first, x);
            for (int c : x) {
                add(root[v].first, c);
            }
            x.clear();
        }
        if (1) {
            while (root[v].second.k > 1) {
                int x = back(root[v].first);
                int val = root[v].second.k * x + root[v].second.b;
                --root[v].second.k;
                root[v].second.b = val - root[v].second.k * x;
                pair<node*, node*> q = split(root[v].first, s(root[v].first) - 1);
                root[v].first = q.first;
            }
        }
        if (1) {
            pair<node*, node*> q = split(root[v].first, s(root[v].first) - 2);
            if (q.second) q.second->add += l;
            root[v].second.b -= l;
            root[v].first = merge(q.first, q.second);
        }
    }
    return;
}

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, m;
    cin >> n >> m;
    vector<vector<pair<int, int>>> g(n + m);
    for (int i = 1; i < n + m; ++i) {
        int p, c;
        cin >> p >> c;
        --p;
        g[p].push_back({ i, c });
    }
    dfs(0, g, 0);
    int curr = root[0].second.k;
    vector<int> x;
    walk(root[0].first, x);
    auto pt = x.rbegin();
    while (curr--) {
        int x = *pt;
        int val = root[0].second.k * x + root[0].second.b;
        --root[0].second.k;
        root[0].second.b = val - root[0].second.k * x;
        ++pt;
    }
    cout << root[0].second.b;
}
/*
 4 6
 1 5
 2 5
 2 8
 3 3
 3 2
 3 3
 2 9
 4 4
 4 3
 */

Compilation message

fireworks.cpp: In function 'void dfs(long long int, std::vector<std::vector<std::pair<long long int, long long int> > >&, long long int)':
fireworks.cpp:144:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  144 |         for (int i = 1; i < g[v].size(); ++i) {
      |                         ~~^~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7372 KB Output is correct
6 Correct 3 ms 7380 KB Output is correct
7 Correct 3 ms 7380 KB Output is correct
8 Correct 3 ms 7372 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Correct 5 ms 7380 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7368 KB Output is correct
2 Correct 3 ms 7368 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7328 KB Output is correct
5 Correct 3 ms 7380 KB Output is correct
6 Correct 3 ms 7380 KB Output is correct
7 Correct 3 ms 7368 KB Output is correct
8 Correct 3 ms 7360 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Correct 4 ms 7380 KB Output is correct
11 Correct 4 ms 7368 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 3 ms 7380 KB Output is correct
14 Correct 3 ms 7364 KB Output is correct
15 Correct 3 ms 7368 KB Output is correct
16 Correct 3 ms 7380 KB Output is correct
17 Correct 4 ms 7380 KB Output is correct
18 Correct 4 ms 7364 KB Output is correct
19 Correct 3 ms 7380 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7372 KB Output is correct
6 Correct 3 ms 7380 KB Output is correct
7 Correct 3 ms 7380 KB Output is correct
8 Correct 3 ms 7372 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Correct 5 ms 7380 KB Output is correct
11 Correct 3 ms 7368 KB Output is correct
12 Correct 3 ms 7368 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 4 ms 7328 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 3 ms 7380 KB Output is correct
17 Correct 3 ms 7368 KB Output is correct
18 Correct 3 ms 7360 KB Output is correct
19 Correct 3 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7368 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 3 ms 7380 KB Output is correct
24 Correct 3 ms 7364 KB Output is correct
25 Correct 3 ms 7368 KB Output is correct
26 Correct 3 ms 7380 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 4 ms 7364 KB Output is correct
29 Correct 3 ms 7380 KB Output is correct
30 Correct 4 ms 7380 KB Output is correct
31 Correct 4 ms 7508 KB Output is correct
32 Correct 5 ms 7704 KB Output is correct
33 Correct 5 ms 7764 KB Output is correct
34 Correct 8 ms 7884 KB Output is correct
35 Correct 8 ms 8008 KB Output is correct
36 Correct 7 ms 8148 KB Output is correct
37 Correct 8 ms 8276 KB Output is correct
38 Correct 8 ms 8404 KB Output is correct
39 Correct 9 ms 8396 KB Output is correct
40 Correct 6 ms 8404 KB Output is correct
41 Correct 5 ms 8404 KB Output is correct
42 Correct 5 ms 7636 KB Output is correct
43 Correct 8 ms 8660 KB Output is correct
44 Correct 9 ms 8628 KB Output is correct
45 Correct 8 ms 8532 KB Output is correct
46 Correct 12 ms 9300 KB Output is correct
47 Correct 13 ms 9428 KB Output is correct
48 Correct 11 ms 8964 KB Output is correct
49 Correct 12 ms 9172 KB Output is correct
50 Correct 11 ms 8820 KB Output is correct
51 Correct 11 ms 8784 KB Output is correct
52 Correct 13 ms 8960 KB Output is correct
53 Correct 13 ms 9300 KB Output is correct
54 Correct 11 ms 8916 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 3 ms 7252 KB Output is correct
3 Correct 3 ms 7380 KB Output is correct
4 Correct 3 ms 7380 KB Output is correct
5 Correct 3 ms 7372 KB Output is correct
6 Correct 3 ms 7380 KB Output is correct
7 Correct 3 ms 7380 KB Output is correct
8 Correct 3 ms 7372 KB Output is correct
9 Correct 3 ms 7380 KB Output is correct
10 Correct 5 ms 7380 KB Output is correct
11 Correct 3 ms 7368 KB Output is correct
12 Correct 3 ms 7368 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 4 ms 7328 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 3 ms 7380 KB Output is correct
17 Correct 3 ms 7368 KB Output is correct
18 Correct 3 ms 7360 KB Output is correct
19 Correct 3 ms 7380 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 4 ms 7368 KB Output is correct
22 Correct 4 ms 7380 KB Output is correct
23 Correct 3 ms 7380 KB Output is correct
24 Correct 3 ms 7364 KB Output is correct
25 Correct 3 ms 7368 KB Output is correct
26 Correct 3 ms 7380 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 4 ms 7364 KB Output is correct
29 Correct 3 ms 7380 KB Output is correct
30 Correct 4 ms 7380 KB Output is correct
31 Correct 4 ms 7508 KB Output is correct
32 Correct 5 ms 7704 KB Output is correct
33 Correct 5 ms 7764 KB Output is correct
34 Correct 8 ms 7884 KB Output is correct
35 Correct 8 ms 8008 KB Output is correct
36 Correct 7 ms 8148 KB Output is correct
37 Correct 8 ms 8276 KB Output is correct
38 Correct 8 ms 8404 KB Output is correct
39 Correct 9 ms 8396 KB Output is correct
40 Correct 6 ms 8404 KB Output is correct
41 Correct 5 ms 8404 KB Output is correct
42 Correct 5 ms 7636 KB Output is correct
43 Correct 8 ms 8660 KB Output is correct
44 Correct 9 ms 8628 KB Output is correct
45 Correct 8 ms 8532 KB Output is correct
46 Correct 12 ms 9300 KB Output is correct
47 Correct 13 ms 9428 KB Output is correct
48 Correct 11 ms 8964 KB Output is correct
49 Correct 12 ms 9172 KB Output is correct
50 Correct 11 ms 8820 KB Output is correct
51 Correct 11 ms 8784 KB Output is correct
52 Correct 13 ms 8960 KB Output is correct
53 Correct 13 ms 9300 KB Output is correct
54 Correct 11 ms 8916 KB Output is correct
55 Correct 15 ms 10140 KB Output is correct
56 Correct 57 ms 18388 KB Output is correct
57 Correct 129 ms 26700 KB Output is correct
58 Correct 153 ms 32388 KB Output is correct
59 Correct 191 ms 40732 KB Output is correct
60 Correct 246 ms 49324 KB Output is correct
61 Correct 278 ms 55488 KB Output is correct
62 Correct 304 ms 60616 KB Output is correct
63 Correct 390 ms 73232 KB Output is correct
64 Correct 395 ms 73268 KB Output is correct
65 Correct 110 ms 70900 KB Output is correct
66 Correct 105 ms 70828 KB Output is correct
67 Correct 107 ms 28976 KB Output is correct
68 Correct 407 ms 87004 KB Output is correct
69 Correct 452 ms 84848 KB Output is correct
70 Correct 442 ms 84944 KB Output is correct
71 Correct 741 ms 140752 KB Output is correct
72 Correct 748 ms 140828 KB Output is correct
73 Correct 695 ms 122332 KB Output is correct
74 Correct 834 ms 139700 KB Output is correct
75 Correct 710 ms 120900 KB Output is correct
76 Correct 727 ms 121068 KB Output is correct
77 Correct 758 ms 118132 KB Output is correct
78 Correct 857 ms 126784 KB Output is correct
79 Correct 986 ms 104204 KB Output is correct