oj.uz

Submission #546780

# Submission time Handle Problem Language Result Execution time Memory
546780 2022-04-08T13:04:30 Z gimabd30 Fireworks (APIO16_fireworks) C++17
100 / 100
 180 ms 39580 KB 
//#define _GLIBCXX_DEBUG

//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#include <bits/stdc++.h>

using namespace std;

#include <ext/pb_ds/assoc_container.hpp>

using namespace __gnu_pbds;

template<typename T>
using ordered_set = tree<T, null_type, less < T>, rb_tree_tag, tree_order_statistics_node_update>;

template<typename T>
using normal_queue = priority_queue <T, vector<T>, greater<>>;

mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());

#define ll long long
#define trace(x) cout << #x << ": " << (x) << endl;
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define uniq(x) x.resize(unique(all(x)) - begin(x))
#define ld long double
#define sz(s) ((int) size(s))
#define pii pair<int, int>
#define mp(x, y) make_pair(x, y)
#define int128 __int128
#define pb push_back
#define eb emplace_back


template<typename T>
bool ckmin(T &x, T y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}

template<typename T>
bool ckmax(T &x, T y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

int bit(int x, int b) {
    return (x >> b) & 1;
}


int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; }

//soryan za musor sverhu

const ll infL = 3e18;
const int infI = 1e9 + 7;
const int N = 300001;
const ll mod = 1e9 + 7;
const ld eps = 1e-9;

priority_queue<ll> pq[N];
int p[N], c[N];
ll k[N], b[N];
//это уравнение прямой при больших X

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    //https://codeforces.com/blog/entry/47821
    int n, m;
    cin >> n >> m;
    auto mrg = [](int i) {
        if (sz(pq[i]) > sz(pq[p[i]])) swap(pq[i], pq[p[i]]);
        k[p[i]] += k[i];
        b[p[i]] += b[i];
        while (!pq[i].empty()) {
            auto v = pq[i].top();
            pq[i].pop();
            pq[p[i]].push(v);
        }
    };
    for (int i = 1; i < n + m; ++i) {
        cin >> p[i] >> c[i];
        --p[i];
    }
    for (int i = n; i < n + m; ++i) {
        k[i] = 1;
        b[i] = -c[i];
        pq[i].push(c[i]);
        pq[i].push(c[i]);
        mrg(i);
    }
    for (int i = n - 1; i > 0; --i) {
        //we don't need slopes with k > 1 because we just can increase c[i[ by one all the time
        while (k[i] > 1) {
            --k[i];
            b[i] += pq[i].top(); // y = kx+b = (a-1)x + (b + x) at slope changing point
            pq[i].pop();
        }
        auto R = pq[i].top();
        pq[i].pop();
        auto L = pq[i].top();
        pq[i].pop();
        L += c[i];
        R += c[i];
        //moving slopes with K = 0, 1
        b[i] -= c[i];
        //we shifted to the right by c[i] and k = 1 so b[i] decreases by c[i]
        pq[i].push(L);
        pq[i].push(R);
        mrg(i);
    }
    while (k[0] > 0) {
        --k[0];
        b[0] += pq[0].top();// y = kx+b = (a-1)x + (b + x) at slope changing point
        pq[0].pop();
    }
    cout << b[0];
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 7 ms 9676 KB Output is correct
10 Correct 7 ms 9684 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9812 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9640 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 6 ms 9684 KB Output is correct
13 Correct 7 ms 9684 KB Output is correct
14 Correct 6 ms 9684 KB Output is correct
15 Correct 7 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 7 ms 9684 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 7 ms 9676 KB Output is correct
10 Correct 7 ms 9684 KB Output is correct
11 Correct 7 ms 9812 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 4 ms 9684 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 5 ms 9640 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 6 ms 9684 KB Output is correct
23 Correct 7 ms 9684 KB Output is correct
24 Correct 6 ms 9684 KB Output is correct
25 Correct 7 ms 9684 KB Output is correct
26 Correct 5 ms 9684 KB Output is correct
27 Correct 5 ms 9684 KB Output is correct
28 Correct 7 ms 9684 KB Output is correct
29 Correct 5 ms 9684 KB Output is correct
30 Correct 5 ms 9684 KB Output is correct
31 Correct 5 ms 9684 KB Output is correct
32 Correct 5 ms 9812 KB Output is correct
33 Correct 5 ms 9812 KB Output is correct
34 Correct 6 ms 9812 KB Output is correct
35 Correct 6 ms 9920 KB Output is correct
36 Correct 6 ms 9952 KB Output is correct
37 Correct 7 ms 9940 KB Output is correct
38 Correct 7 ms 9940 KB Output is correct
39 Correct 7 ms 10036 KB Output is correct
40 Correct 6 ms 9812 KB Output is correct
41 Correct 6 ms 9812 KB Output is correct
42 Correct 6 ms 9812 KB Output is correct
43 Correct 8 ms 9940 KB Output is correct
44 Correct 7 ms 9928 KB Output is correct
45 Correct 9 ms 9940 KB Output is correct
46 Correct 9 ms 10196 KB Output is correct
47 Correct 8 ms 10196 KB Output is correct
48 Correct 9 ms 10068 KB Output is correct
49 Correct 8 ms 10068 KB Output is correct
50 Correct 7 ms 10068 KB Output is correct
51 Correct 8 ms 10004 KB Output is correct
52 Correct 7 ms 10068 KB Output is correct
53 Correct 7 ms 10068 KB Output is correct
54 Correct 7 ms 10068 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 7 ms 9676 KB Output is correct
10 Correct 7 ms 9684 KB Output is correct
11 Correct 7 ms 9812 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 4 ms 9684 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 5 ms 9640 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9684 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
22 Correct 6 ms 9684 KB Output is correct
23 Correct 7 ms 9684 KB Output is correct
24 Correct 6 ms 9684 KB Output is correct
25 Correct 7 ms 9684 KB Output is correct
26 Correct 5 ms 9684 KB Output is correct
27 Correct 5 ms 9684 KB Output is correct
28 Correct 7 ms 9684 KB Output is correct
29 Correct 5 ms 9684 KB Output is correct
30 Correct 5 ms 9684 KB Output is correct
31 Correct 5 ms 9684 KB Output is correct
32 Correct 5 ms 9812 KB Output is correct
33 Correct 5 ms 9812 KB Output is correct
34 Correct 6 ms 9812 KB Output is correct
35 Correct 6 ms 9920 KB Output is correct
36 Correct 6 ms 9952 KB Output is correct
37 Correct 7 ms 9940 KB Output is correct
38 Correct 7 ms 9940 KB Output is correct
39 Correct 7 ms 10036 KB Output is correct
40 Correct 6 ms 9812 KB Output is correct
41 Correct 6 ms 9812 KB Output is correct
42 Correct 6 ms 9812 KB Output is correct
43 Correct 8 ms 9940 KB Output is correct
44 Correct 7 ms 9928 KB Output is correct
45 Correct 9 ms 9940 KB Output is correct
46 Correct 9 ms 10196 KB Output is correct
47 Correct 8 ms 10196 KB Output is correct
48 Correct 9 ms 10068 KB Output is correct
49 Correct 8 ms 10068 KB Output is correct
50 Correct 7 ms 10068 KB Output is correct
51 Correct 8 ms 10004 KB Output is correct
52 Correct 7 ms 10068 KB Output is correct
53 Correct 7 ms 10068 KB Output is correct
54 Correct 7 ms 10068 KB Output is correct
55 Correct 10 ms 10452 KB Output is correct
56 Correct 25 ms 12752 KB Output is correct
57 Correct 45 ms 14788 KB Output is correct
58 Correct 59 ms 16240 KB Output is correct
59 Correct 81 ms 18300 KB Output is correct
60 Correct 89 ms 20280 KB Output is correct
61 Correct 95 ms 22184 KB Output is correct
62 Correct 109 ms 23440 KB Output is correct
63 Correct 137 ms 25936 KB Output is correct
64 Correct 159 ms 26532 KB Output is correct
65 Correct 73 ms 16688 KB Output is correct
66 Correct 66 ms 16700 KB Output is correct
67 Correct 66 ms 16728 KB Output is correct
68 Correct 138 ms 23536 KB Output is correct
69 Correct 132 ms 24272 KB Output is correct
70 Correct 141 ms 24192 KB Output is correct
71 Correct 180 ms 39364 KB Output is correct
72 Correct 180 ms 39580 KB Output is correct
73 Correct 177 ms 36364 KB Output is correct
74 Correct 151 ms 36744 KB Output is correct
75 Correct 149 ms 35448 KB Output is correct
76 Correct 168 ms 35364 KB Output is correct
77 Correct 176 ms 34688 KB Output is correct
78 Correct 163 ms 34100 KB Output is correct
79 Correct 140 ms 32588 KB Output is correct