oj.uz

Submission #1091231

# Submission time Handle Problem Language Result Execution time Memory
1091231 2024-09-20T07:54:12 Z tibinyte Safety (NOI18_safety) C++17
100 / 100
 781 ms 26992 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 || t->maxi < x)
    {
        return cnt(t);
    }
    if (t->l)
    {
        if (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 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 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 1 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 344 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 488 ms 17664 KB Output is correct
2 Correct 699 ms 25172 KB Output is correct
3 Correct 700 ms 26216 KB Output is correct

Subtask #5
6.0 / 6.0

# 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 2 ms 348 KB Output is correct
14 Correct 2 ms 352 KB Output is correct
15 Correct 2 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 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 2 ms 348 KB Output is correct
14 Correct 2 ms 352 KB Output is correct
15 Correct 2 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 420 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 348 KB Output is correct

Subtask #7
11.0 / 11.0

# 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 2 ms 348 KB Output is correct
14 Correct 2 ms 352 KB Output is correct
15 Correct 2 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 420 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 348 KB Output is correct
28 Correct 14 ms 960 KB Output is correct
29 Correct 10 ms 860 KB Output is correct
30 Correct 13 ms 920 KB Output is correct
31 Correct 8 ms 856 KB Output is correct
32 Correct 12 ms 916 KB Output is correct
33 Correct 12 ms 1064 KB Output is correct
34 Correct 9 ms 1116 KB Output is correct

Subtask #8
22.0 / 22.0

# 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 344 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 352 KB Output is correct
21 Correct 2 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 420 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 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 14 ms 960 KB Output is correct
35 Correct 10 ms 860 KB Output is correct
36 Correct 13 ms 920 KB Output is correct
37 Correct 8 ms 856 KB Output is correct
38 Correct 12 ms 916 KB Output is correct
39 Correct 12 ms 1064 KB Output is correct
40 Correct 9 ms 1116 KB Output is correct
41 Correct 13 ms 1092 KB Output is correct
42 Correct 9 ms 892 KB Output is correct
43 Correct 11 ms 992 KB Output is correct
44 Correct 11 ms 856 KB Output is correct
45 Correct 11 ms 860 KB Output is correct
46 Correct 10 ms 844 KB Output is correct

Subtask #9
29.0 / 29.0

# 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 344 KB Output is correct
19 Correct 488 ms 17664 KB Output is correct
20 Correct 699 ms 25172 KB Output is correct
21 Correct 700 ms 26216 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 2 ms 352 KB Output is correct
24 Correct 2 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 420 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 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 14 ms 960 KB Output is correct
38 Correct 10 ms 860 KB Output is correct
39 Correct 13 ms 920 KB Output is correct
40 Correct 8 ms 856 KB Output is correct
41 Correct 12 ms 916 KB Output is correct
42 Correct 12 ms 1064 KB Output is correct
43 Correct 9 ms 1116 KB Output is correct
44 Correct 13 ms 1092 KB Output is correct
45 Correct 9 ms 892 KB Output is correct
46 Correct 11 ms 992 KB Output is correct
47 Correct 11 ms 856 KB Output is correct
48 Correct 11 ms 860 KB Output is correct
49 Correct 10 ms 844 KB Output is correct
50 Correct 781 ms 26992 KB Output is correct
51 Correct 605 ms 22240 KB Output is correct
52 Correct 474 ms 21420 KB Output is correct
53 Correct 590 ms 25072 KB Output is correct
54 Correct 570 ms 25728 KB Output is correct
55 Correct 474 ms 21844 KB Output is correct
56 Correct 606 ms 24088 KB Output is correct
57 Correct 547 ms 21992 KB Output is correct
58 Correct 422 ms 19256 KB Output is correct
59 Correct 518 ms 24412 KB Output is correct