oj.uz

Submission #1091592

# Submission time Handle Problem Language Result Execution time Memory
1091592 2024-09-21T13:10:37 Z tibinyte Safety (NOI18_safety) C++14
100 / 100
 755 ms 28752 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
 
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int random(int st, int dr)
{
    uniform_int_distribution<int> dist(st, dr);
    return dist(rng);
}
 
template <typename t>
using ordered_set = tree<t, null_type, less<t>, rb_tree_tag, tree_order_statistics_node_update>;
 
const int mod = 1e9 + 7;
struct Mint
{
    int val;
    Mint(int x = 0)
    {
        val = x % mod;
    }
    Mint(long long x)
    {
        val = x % mod;
    }
    Mint operator+(Mint oth)
    {
        return val + oth.val;
    }
    Mint operator-(Mint oth)
    {
        return val - oth.val + mod;
    }
    Mint operator*(Mint oth)
    {
        return 1ll * val * oth.val;
    }
    void operator+=(Mint oth)
    {
        val = (*this + oth).val;
    }
    void operator-=(Mint oth)
    {
        val = (*this - oth).val;
    }
    void operator*=(Mint oth)
    {
        val = (*this * oth).val;
    }
};
 
Mint powmod(int a, int b)
{
    if (b == 0)
    {
        return 1;
    }
    if (b % 2 == 1)
    {
        return powmod(a, b - 1) * a;
    }
    Mint p = powmod(a, b / 2);
    return p * p;
}
 
/*
                 .___                 __                 __           .__
  ____  ____   __| _/____     _______/  |______ ________/  |_  ______ |  |__   ___________   ____
_/ ___\/  _ \ / __ |/ __ \   /  ___/\   __\__  \\_  __ \   __\/  ___/ |  |  \_/ __ \_  __ \_/ __ \
\  \__(  <_> ) /_/ \  ___/   \___ \  |  |  / __ \|  | \/|  |  \___ \  |   Y  \  ___/|  | \/\  ___/
 \___  >____/\____ |\___  > /____  > |__| (____  /__|   |__| /____  > |___|  /\___  >__|    \___  >
     \/           \/    \/       \/            \/                 \/       \/     \/            \/
*/
 
#define int long long
 
struct treap // implicit key treap
{
    int prior, val, cnt;
    int maxi, lazy;
    treap *l = nullptr, *r = nullptr;
    treap(int val = 0) : val(val), lazy(0), prior(random(1, 1e9)), cnt(1), maxi(val) {}
};
 
int cnt(treap *t)
{
    return t ? t->cnt : 0;
}
 
void push(treap *&t)
{
    if (t && t->lazy)
    {
        t->maxi += t->lazy;
        t->val += t->lazy;
        if (t->l)
        {
            t->l->lazy += t->lazy;
        }
        if (t->r)
        {
            t->r->lazy += t->lazy;
        }
        t->lazy = 0;
    }
}
 
void pull(treap *&t)
{
    if (t)
    {
        assert(t->lazy == 0);
        push(t->l);
        push(t->r);
        t->cnt = cnt(t->l) + cnt(t->r) + 1;
        t->maxi = t->val;
        if (t->l)
        {
            t->maxi = max(t->maxi, t->l->maxi);
        }
        if (t->r)
        {
            t->maxi = max(t->maxi, t->r->maxi);
        }
    }
}
 
void merge(treap *&t, treap *l, treap *r)
{
    push(l), push(r);
    if (!l || !r)
    {
        t = (l ? l : r);
        return;
    }
    if (r->prior > l->prior)
    {
        merge(r->l, l, r->l);
        t = r;
    }
    else
    {
        merge(l->r, l->r, r);
        t = l;
    }
    pull(t);
}
 
void split(treap *t, treap *&l, treap *&r, int key, int add = 0)
{
    push(t);
    if (!t)
    {
        l = r = nullptr;
        return;
    }
    int curr_key = add + cnt(t->l) + 1;
    if (curr_key <= key)
    {
        split(t->r, t->r, r, key, add + cnt(t->l) + 1);
        l = t;
    }
    else
    {
        split(t->l, l, t->l, key, add);
        r = t;
    }
    pull(t);
}
 
int find_rank(treap *&t, int x)
{
    push(t);
    pull(t);
    if (!t)
    {
        return 0;
    }
    if (t->l && t->l->maxi > x)
    {
        return find_rank(t->l, x);
    }
    if (t->val > x)
    {
        return cnt(t->l);
    }
    return cnt(t->l) + 1 + find_rank(t->r, x);
}
 
void insert(treap *&t, int x)
{
    treap *a, *b;
    a = b = nullptr;
 
    int my_rank = find_rank(t, x);
 
    split(t, a, b, my_rank);
    merge(a, a, new treap(x));
    merge(t, a, b);
}
 
void move(treap *&t, int pref, int h)
{
    treap *a, *b;
    a = b = nullptr;
    split(t, a, b, pref);
    if (b)
        b->lazy += h;
    if (a)
        a->lazy -= h;
    merge(t, a, b);
}
 
int pop(treap *&t)
{
    assert(cnt(t) >= 1);
    int ans = t->maxi;
    treap *lying = nullptr;
    split(t, t, lying, cnt(t) - 1);
    return ans;
}
 
struct line
{
    int a, b;
    line(int a = 0, int b = 0) : a(a), b(b) {}
    int eval(int x)
    {
        return a * x + b;
    }
    line operator+(line oth)
    {
        return line(a + oth.a, b + oth.b);
    }
};
 
struct slope_trick
{
    treap *t = nullptr;
    line rightmost;
 
    void shift(int dist)
    {
        move(t, cnt(t) - rightmost.a, dist);
        rightmost.b = rightmost.b - rightmost.a * dist;
    }
 
    void clean()
    {
        while (rightmost.a > 0)
        {
            int nxt = pop(t);
            rightmost = line(rightmost.a - 1, nxt + rightmost.b);
        }
    }
 
    void add(int x)
    {
        insert(t, x);
        insert(t, x);
        rightmost = rightmost + line(1, -x);
    }
 
    int getOpt()
    {
        clean();
        return rightmost.b;
    }
};
 
int32_t main()
{
    cin.tie(nullptr)->sync_with_stdio(false);
    int n, h;
    cin >> n >> h;
    vector<int> a(n + 1);
    slope_trick adam;
    for (int i = 1; i <= n; ++i)
    {
        cin >> a[i];
        adam.shift(h);
        adam.add(a[i]);
    }
    cout << adam.getOpt() << '\n';
}
/*
I cannot take this anymore
Saying everything I've said before
All these words, they make no sense
I find bliss in ignorance
Less I hear, the less you say
You'll find that out anyway
Just like before
 
Everything you say to me
(Takes me one step closer to the edge)
(And I'm about to break)
I need a little room to breathe
(Cause I'm one step closer to the edge)
(I'm about to break)
*/

Compilation message

safety.cpp: In constructor 'treap::treap(long long int)':
safety.cpp:88:15: warning: 'treap::lazy' will be initialized after [-Wreorder]
   88 |     int maxi, lazy;
      |               ^~~~
safety.cpp:87:9: warning:   'long long int treap::prior' [-Wreorder]
   87 |     int prior, val, cnt;
      |         ^~~~~
safety.cpp:90:5: warning:   when initialized here [-Wreorder]
   90 |     treap(int val = 0) : val(val), lazy(0), prior(random(1, 1e9)), cnt(1), maxi(val) {}
      |     ^~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 426 ms 19136 KB Output is correct
2 Correct 649 ms 26964 KB Output is correct
3 Correct 677 ms 28136 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 536 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 348 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 536 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 11 ms 988 KB Output is correct
29 Correct 9 ms 860 KB Output is correct
30 Correct 11 ms 1116 KB Output is correct
31 Correct 8 ms 856 KB Output is correct
32 Correct 8 ms 860 KB Output is correct
33 Correct 11 ms 1116 KB Output is correct
34 Correct 10 ms 1124 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 536 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 460 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 11 ms 988 KB Output is correct
35 Correct 9 ms 860 KB Output is correct
36 Correct 11 ms 1116 KB Output is correct
37 Correct 8 ms 856 KB Output is correct
38 Correct 8 ms 860 KB Output is correct
39 Correct 11 ms 1116 KB Output is correct
40 Correct 10 ms 1124 KB Output is correct
41 Correct 12 ms 1116 KB Output is correct
42 Correct 8 ms 860 KB Output is correct
43 Correct 10 ms 1072 KB Output is correct
44 Correct 10 ms 1116 KB Output is correct
45 Correct 10 ms 1060 KB Output is correct
46 Correct 9 ms 860 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 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 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 426 ms 19136 KB Output is correct
20 Correct 649 ms 26964 KB Output is correct
21 Correct 677 ms 28136 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 536 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 460 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 11 ms 988 KB Output is correct
38 Correct 9 ms 860 KB Output is correct
39 Correct 11 ms 1116 KB Output is correct
40 Correct 8 ms 856 KB Output is correct
41 Correct 8 ms 860 KB Output is correct
42 Correct 11 ms 1116 KB Output is correct
43 Correct 10 ms 1124 KB Output is correct
44 Correct 12 ms 1116 KB Output is correct
45 Correct 8 ms 860 KB Output is correct
46 Correct 10 ms 1072 KB Output is correct
47 Correct 10 ms 1116 KB Output is correct
48 Correct 10 ms 1060 KB Output is correct
49 Correct 9 ms 860 KB Output is correct
50 Correct 755 ms 28752 KB Output is correct
51 Correct 548 ms 23836 KB Output is correct
52 Correct 475 ms 22916 KB Output is correct
53 Correct 556 ms 26708 KB Output is correct
54 Correct 572 ms 27624 KB Output is correct
55 Correct 471 ms 23408 KB Output is correct
56 Correct 495 ms 25684 KB Output is correct
57 Correct 496 ms 23676 KB Output is correct
58 Correct 432 ms 20044 KB Output is correct
59 Correct 533 ms 26128 KB Output is correct