oj.uz

Submission #467947

# Submission time Handle Problem Language Result Execution time Memory
467947 2021-08-25T17:15:24 Z Vladithur Safety (NOI18_safety) C++17
100 / 100
 554 ms 23508 KB 
//#pragma GCC optimize ("Ofast")
//#pragma GCC target("avx2")
//#pragma GCC target ("sse4")
//#pragma GCC optimize("unroll-loops")
//#include <x86intrin.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>

#define PI 3.141592653589793L
#define FAST ios::sync_with_stdio(false); cin.tie(NULL);
// Use for file I/O;
#define FIN string _fname = "input"; \
			string _is = _fname + ".in", _os = _fname + ".out"; \
			freopen(_is.c_str(), "r", stdin); \
			freopen(_os.c_str(), "w", stdout);

#define FIN2 freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
#define RINIT mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

#define all(x) (x).begin(), (x).end()
#define allr(x) (x).rbegin(), (x).rend()
#define gsize(x) (int)((x).size())

using namespace std;
//using namespace __gnu_pbds;

struct chash {
    static inline uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    inline size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM =
            chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
 
    inline size_t operator()(const pair<uint64_t, uint64_t> &v) const {
        chash int_hasher;
        return int_hasher(v.first) * 31 + int_hasher(v.second);
    }
};

//template <class K>
//using hash_set = gp_hash_table<K, null_type, chash>;

const char nl = '\n';

typedef long long ll;
typedef long double ld;
// typedef unsigned int uint;
typedef unsigned long long ull;

const ll inf = 1e9 + 10;
const ll inf2 = 1e18 + 99LL;
const ld inf3 = 1e14;
const ll mod = 1e9+7, mod2 = 998244353;
const ld eps = 1e-9;
const bool local = false;

//RINIT;
const int logn = 21, maxn = 200001, maxm = 1, maxn2 = 3;	

struct node {
	ll v, prop;
	int size, pr;
	node *l, *r;
	
	node (int x, node * tl = nullptr, node * tr = nullptr) {
		size = 1;
		v = x;
		prop = 0;
		pr = rand();
		l = tl;
		r = tr;
	}
};

int size(node * t) {
	if (t) return t->size;
	return 0;
}

void recalc(node * t) {
	if (!t) return;
	t->size = 1 + size(t->l) + size(t->r);
}

void prop(node * t) {
	if (!t || !t->prop) return;
	t->v += t->prop;
	if (t->l) t->l->prop += t->prop;
	if (t->r) t->r->prop += t->prop;
	t->prop = 0;
}

// We want to split of the first 'n' ellements
array<node *, 2> split(node * t, int n) {
	if (!t) return {nullptr, nullptr};
	prop(t);
	if (size(t->l) >= n) {
		auto res = split(t->l, n);
		t->l = res[1];
		recalc(t);
		return {res[0], t};
	} else {
		auto res = split(t->r, n - size(t->l) - 1);
		t->r = res[0];
		recalc(t);
		return {t, res[1]};
	}
}

// Merge two treaps
node * merge(node *a, node *b) {
	if (!a) return b;
	if (!b) return a;
	prop(a); prop(b);
	if (a->pr < b->pr) {
		a->r = merge(a->r, b);
		recalc(a);
		return a;
	} else {
		b->l = merge(a, b->l);
		recalc(b);
		return b;
	}
}

// Add 'x' on [l; r)
node *update(node * t, int l, int r, int x) {
	if (l >= r) return t;
	auto a = split(t, l);
	auto b = split(a[1], r - l);
	//cout << "U: " << size(a[0]) << ' ' << size(b[0]) << ' ' << size(b[1]) << endl;
	b[0]->prop += x;
	return merge(a[0], merge(b[0], b[1]));
}

ll h;
node * f(node * t, int ti) {
	auto a = split(t, ti + 1);
	a[0]->prop -= h;
	a[1]->prop += h;
	return merge(a[0], a[1]);
	//t = update(t, 0, ti + 1, -h);
	//t = update(t, ti + 1, i * 2, +h);
}

// Get first index with value > x
int tres = 0;
void find(node * t, ll x, int ti = 0) {
	if (!t) return;
	prop(t);
	if (t->v > x) {
		tres = min(tres, size(t->l) + ti);
		find(t->l, x, ti);
	} else {
		find(t->r, x, ti + size(t->l) + 1);
	}
}

void print(node * t) {
	if (!t) return;
	prop(t);
	print(t->l);
	cout << t->v << ' ';
	print(t->r);
}

vector<ll> ta;
void toArray(node * t) {
	if (!t) return;
	prop(t);
	toArray(t->l);
	ta.push_back(t->v);
	toArray(t->r);
	delete t;
}

int main() {
	FAST;
	srand(0);
	
	int n;
	cin >> n >> h;
	
	__int128 k = -1, b;
	ll ttta;
	cin >> ttta;
	b = ttta;
	node * t = new node(b);
	t = merge(t, new node(b));
	
	for (int i = 1; i < n; i++) {
		ll a;
		cin >> a;
		
		//print(t);
		//cout << nl;
			
		int ti = - 1 - k;
		//cout << 0 << ' ' << ti + 1 << ' ' << ti + 1 << ' ' << i * 2 << endl;
		t = f(t, ti);
	
		//print(t);
		//cout << nl;

		
		tres = inf;
		find(t, a);
		
		// cout << tres << nl;
		
		node * t2 = new node(a);
		t2 = merge(t2, new node(a));
		if (tres == inf) {
			t = merge(t, t2);
		} else {
			auto c = split(t, tres);
			c[0] = merge(c[0], t2);
			t = merge(c[0], c[1]);
		}
		b += k * h;	
		k--;
		b += a;
		//print(t);
		//cout << nl;
		//cout << "F: " << k << ' ' << b << nl << nl;
		
	}
	
	__int128 ans = inf2;
	
	toArray(t);
	for (ll x: ta) {
		ans = min(ans, x * k + b);
		k++;
		b -= x;
	}
	cout << (ll)(ans) << nl;
}

// © Benq 
/* stuff you should look for
	* int overflow, array bounds	
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
	* DON'T GET STUCK ON ONE APPROACH
*/

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 316 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 312 KB Output is correct
6 Correct 1 ms 204 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 358 ms 17104 KB Output is correct
2 Correct 514 ms 22440 KB Output is correct
3 Correct 536 ms 23120 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 11 ms 964 KB Output is correct
29 Correct 7 ms 844 KB Output is correct
30 Correct 7 ms 972 KB Output is correct
31 Correct 7 ms 844 KB Output is correct
32 Correct 6 ms 844 KB Output is correct
33 Correct 9 ms 832 KB Output is correct
34 Correct 7 ms 952 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 316 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 11 ms 964 KB Output is correct
35 Correct 7 ms 844 KB Output is correct
36 Correct 7 ms 972 KB Output is correct
37 Correct 7 ms 844 KB Output is correct
38 Correct 6 ms 844 KB Output is correct
39 Correct 9 ms 832 KB Output is correct
40 Correct 7 ms 952 KB Output is correct
41 Correct 8 ms 972 KB Output is correct
42 Correct 7 ms 832 KB Output is correct
43 Correct 7 ms 972 KB Output is correct
44 Correct 7 ms 1028 KB Output is correct
45 Correct 6 ms 964 KB Output is correct
46 Correct 9 ms 844 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 316 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 312 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 358 ms 17104 KB Output is correct
20 Correct 514 ms 22440 KB Output is correct
21 Correct 536 ms 23120 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 11 ms 964 KB Output is correct
38 Correct 7 ms 844 KB Output is correct
39 Correct 7 ms 972 KB Output is correct
40 Correct 7 ms 844 KB Output is correct
41 Correct 6 ms 844 KB Output is correct
42 Correct 9 ms 832 KB Output is correct
43 Correct 7 ms 952 KB Output is correct
44 Correct 8 ms 972 KB Output is correct
45 Correct 7 ms 832 KB Output is correct
46 Correct 7 ms 972 KB Output is correct
47 Correct 7 ms 1028 KB Output is correct
48 Correct 6 ms 964 KB Output is correct
49 Correct 9 ms 844 KB Output is correct
50 Correct 554 ms 23508 KB Output is correct
51 Correct 535 ms 20320 KB Output is correct
52 Correct 287 ms 19688 KB Output is correct
53 Correct 346 ms 22140 KB Output is correct
54 Correct 408 ms 22796 KB Output is correct
55 Correct 290 ms 19860 KB Output is correct
56 Correct 324 ms 21300 KB Output is correct
57 Correct 308 ms 19912 KB Output is correct
58 Correct 263 ms 15916 KB Output is correct
59 Correct 326 ms 21648 KB Output is correct