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Submission #644940

# Submission time Handle Problem Language Result Execution time Memory
644940 2022-09-25T15:48:22 Z pakhomovee Safety (NOI18_safety) C++17
100 / 100
 601 ms 33132 KB 
#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <cstdio>
#include <algorithm>

using namespace std;

#define int long long

struct func {
    int k;
    int b;
    
    func(int k, int b): k(k), b(b) {}
    
    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;
    }
};

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);
}

node* root = nullptr;
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(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);
}

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, h;
    cin >> n >> h;
    vector<int> a(n);
    for (int& i : a) {
        cin >> i;
    }
    add(a[0]);
    add(a[0]);
    func f(1, -a[0]);
    for (int i = 1; i < n; ++i) {
        //  expand f->g
        int val = f.k * back(root) + f.b;
        pair<node*, node*> q = split(root, s(root) - f.k);
        if (q.first) q.first->add -= h;
        if (q.second) q.second->add += h;
        root = merge(q.first, q.second);
        f.b = val - f.k * back(root);
        //  add new function
        add(a[i]);
        add(a[i]);
        f.k += 1;
        f.b -= a[i];
    }
    int curr = f.k;
    vector<int> x;
    walk(root, x);
    auto pt = x.rbegin();
    while (curr--) {
        int x = *pt;
        int val = f.k * x + f.b;
        --f.k;
        f.b = val - f.k * x;
        ++pt;
    }
    cout << f.b;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 316 KB Output is correct
5 Correct 0 ms 212 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 316 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 342 ms 23348 KB Output is correct
2 Correct 518 ms 31412 KB Output is correct
3 Correct 601 ms 32384 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 316 KB Output is correct
19 Correct 1 ms 340 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 316 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 316 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 9 ms 1176 KB Output is correct
29 Correct 7 ms 1036 KB Output is correct
30 Correct 9 ms 1100 KB Output is correct
31 Correct 10 ms 1004 KB Output is correct
32 Correct 6 ms 980 KB Output is correct
33 Correct 7 ms 1184 KB Output is correct
34 Correct 8 ms 1364 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 320 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 316 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 316 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 9 ms 1176 KB Output is correct
35 Correct 7 ms 1036 KB Output is correct
36 Correct 9 ms 1100 KB Output is correct
37 Correct 10 ms 1004 KB Output is correct
38 Correct 6 ms 980 KB Output is correct
39 Correct 7 ms 1184 KB Output is correct
40 Correct 8 ms 1364 KB Output is correct
41 Correct 8 ms 1236 KB Output is correct
42 Correct 7 ms 980 KB Output is correct
43 Correct 8 ms 1160 KB Output is correct
44 Correct 7 ms 1108 KB Output is correct
45 Correct 7 ms 1108 KB Output is correct
46 Correct 6 ms 1108 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 316 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 320 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 316 KB Output is correct
19 Correct 342 ms 23348 KB Output is correct
20 Correct 518 ms 31412 KB Output is correct
21 Correct 601 ms 32384 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 9 ms 1176 KB Output is correct
38 Correct 7 ms 1036 KB Output is correct
39 Correct 9 ms 1100 KB Output is correct
40 Correct 10 ms 1004 KB Output is correct
41 Correct 6 ms 980 KB Output is correct
42 Correct 7 ms 1184 KB Output is correct
43 Correct 8 ms 1364 KB Output is correct
44 Correct 8 ms 1236 KB Output is correct
45 Correct 7 ms 980 KB Output is correct
46 Correct 8 ms 1160 KB Output is correct
47 Correct 7 ms 1108 KB Output is correct
48 Correct 7 ms 1108 KB Output is correct
49 Correct 6 ms 1108 KB Output is correct
50 Correct 585 ms 33132 KB Output is correct
51 Correct 417 ms 28172 KB Output is correct
52 Correct 315 ms 27140 KB Output is correct
53 Correct 374 ms 31104 KB Output is correct
54 Correct 367 ms 31812 KB Output is correct
55 Correct 319 ms 27696 KB Output is correct
56 Correct 358 ms 30168 KB Output is correct
57 Correct 322 ms 27828 KB Output is correct
58 Correct 261 ms 24256 KB Output is correct
59 Correct 372 ms 30468 KB Output is correct