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Submission #701709

# Submission time Handle Problem Language Result Execution time Memory
701709 2023-02-22T02:00:45 Z GusterGoose27 Safety (NOI18_safety) C++11
100 / 100
 401 ms 36560 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

typedef long long ll;
typedef pair<int, int> pii;

const int MAXN = 2e5;
const int inf = 2e9;
int n, h;
int heights[MAXN];
mt19937 gen(0);

pii operator+(pii a, pii b) {
	return pii(a.first+b.first, a.second+b.second);
}

class Node;

class Node {
public:
	Node *l = nullptr;
	Node *r = nullptr;
	unsigned int key;
	pii val; //
	pii sum;
	Node(pii v) : val(v) {
		key = gen();
		sum = val;
	}
	static pii get_val(Node *rt) {
		return (rt == nullptr) ? pii(0, 0) : rt->val;
	}
	static pii get_sum(Node *rt) {
		return (rt == nullptr) ? pii(0, 0) : rt->sum;
	}
	void make_sum() {
		sum = val+get_sum(l)+get_sum(r);
	}
	void make_inorder(vector<pii> &res) {
		if (l) l->make_inorder(res);
		res.push_back(val);
		if (r) r->make_inorder(res);
	}
};

void merge(Node *l, Node *r, Node *&rt) {
	if (l == nullptr) {
		rt = r;
		return;
	}
	if (r == nullptr) {
		rt = l;
		return;
	}
	if (l->key < r->key) {
		rt = l;
		merge(l->r, r, l->r);
		return rt->make_sum();
	}
	rt = r;
	merge(l, r->l, r->l);
	rt->make_sum();
}

void split(Node *rt, Node *&l, Node *&r, int v) { // split by x-value, for adding a new line
	int amt = Node::get_sum(rt->l).second;
	if (amt > v) {
		r = rt;
		split(rt->l, l, r->l, v);
		return r->make_sum();
	}
	if (amt+rt->val.second < v) {
		l = rt;
		split(rt->r, l->r, r, v-amt-rt->val.second);
		return l->make_sum();
	}
	r = rt->r;
	l = rt;
	l->r = nullptr;
	return l->make_sum();
}

void split2(Node *rt, Node *&l, Node *&r, int v) { // split by slope, for expanding
	int amt = Node::get_sum(rt->l).first;
	if (amt > v) {
		r = rt;
		split2(rt->l, l, r->l, v);
		return r->make_sum();
	}
	if (amt+rt->val.first < v) {
		l = rt;
		split2(rt->r, l->r, r, v-amt-rt->val.first);
		return l->make_sum();
	}
	l = rt->l;
	r = rt;
	r->l = nullptr;
	return r->make_sum();
}

int get_r_dist(Node *rt) {
	if (rt->r != nullptr) return get_r_dist(rt->r);
	return rt->val.second;
}

void set_r_dist(Node *rt, int v) {
	if (rt->r != nullptr) set_r_dist(rt->r, v);
	else rt->val.second = v;
	rt->make_sum();
}

void sub_l_slope(Node *rt, int v) {
	if (rt->l != nullptr) sub_l_slope(rt->l, v);
	else rt->val.first -= v;
	rt->make_sum();
}

signed main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n >> h;
	for (int i = 0; i < n; i++) cin >> heights[i];
	Node *tree = new Node(pii(0, inf));
	int lzx = 0; // + amount by which tree is supposed to be left shifted
	int init_slope = 0; // + initial slope
	int y = 0;
	for (int i = n-1; i >= 0; i--) {
		Node *l;
		Node *r;
		split(tree, l, r, heights[i]+lzx);
		y += heights[i]+lzx;
		int rdist = Node::get_sum(l).second-heights[i]-lzx;
		int ldist = get_r_dist(l)-rdist;
		set_r_dist(l, ldist);
		Node *mid = new Node(pii(2, rdist));
		init_slope++;
		merge(l, mid, l);
		merge(l, r, tree);
		split2(tree, l, r, init_slope);
		int ex_slope = init_slope-Node::get_sum(l).first;
		sub_l_slope(r, ex_slope);
		mid = new Node(pii(ex_slope, 2*h));
		lzx += h;
		merge(l, mid, l);
		merge(l, r, tree);
	}
	Node *l;
	Node *r;
	split2(tree, l, r, init_slope);
	vector<pii> inorder;
	l->make_inorder(inorder);
	for (pii p: inorder) {
		init_slope -= p.first;
		y -= init_slope*p.second;
	}
	cout << y << "\n";
}

Subtask #1
3.0 / 3.0

# 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 0 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 212 KB Output is correct
7 Correct 0 ms 212 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 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 212 KB Output is correct
3 Correct 1 ms 292 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 251 ms 19980 KB Output is correct
2 Correct 351 ms 31256 KB Output is correct
3 Correct 390 ms 36560 KB Output is correct

Subtask #5
6.0 / 6.0

# 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 0 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 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 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 340 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 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 340 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 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 340 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 6 ms 1108 KB Output is correct
29 Correct 4 ms 980 KB Output is correct
30 Correct 4 ms 1128 KB Output is correct
31 Correct 4 ms 980 KB Output is correct
32 Correct 4 ms 980 KB Output is correct
33 Correct 5 ms 1108 KB Output is correct
34 Correct 4 ms 1108 KB Output is correct

Subtask #8
22.0 / 22.0

# 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 0 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 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 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 212 KB Output is correct
15 Correct 1 ms 292 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 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 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 6 ms 1108 KB Output is correct
35 Correct 4 ms 980 KB Output is correct
36 Correct 4 ms 1128 KB Output is correct
37 Correct 4 ms 980 KB Output is correct
38 Correct 4 ms 980 KB Output is correct
39 Correct 5 ms 1108 KB Output is correct
40 Correct 4 ms 1108 KB Output is correct
41 Correct 5 ms 1160 KB Output is correct
42 Correct 4 ms 852 KB Output is correct
43 Correct 5 ms 1108 KB Output is correct
44 Correct 5 ms 1108 KB Output is correct
45 Correct 4 ms 1108 KB Output is correct
46 Correct 4 ms 988 KB Output is correct

Subtask #9
29.0 / 29.0

# 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 0 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 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 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 212 KB Output is correct
15 Correct 1 ms 292 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 251 ms 19980 KB Output is correct
20 Correct 351 ms 31256 KB Output is correct
21 Correct 390 ms 36560 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 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 6 ms 1108 KB Output is correct
38 Correct 4 ms 980 KB Output is correct
39 Correct 4 ms 1128 KB Output is correct
40 Correct 4 ms 980 KB Output is correct
41 Correct 4 ms 980 KB Output is correct
42 Correct 5 ms 1108 KB Output is correct
43 Correct 4 ms 1108 KB Output is correct
44 Correct 5 ms 1160 KB Output is correct
45 Correct 4 ms 852 KB Output is correct
46 Correct 5 ms 1108 KB Output is correct
47 Correct 5 ms 1108 KB Output is correct
48 Correct 4 ms 1108 KB Output is correct
49 Correct 4 ms 988 KB Output is correct
50 Correct 401 ms 33096 KB Output is correct
51 Correct 298 ms 28072 KB Output is correct
52 Correct 188 ms 27236 KB Output is correct
53 Correct 215 ms 31064 KB Output is correct
54 Correct 207 ms 31792 KB Output is correct
55 Correct 191 ms 27576 KB Output is correct
56 Correct 202 ms 29960 KB Output is correct
57 Correct 188 ms 27864 KB Output is correct
58 Correct 148 ms 24232 KB Output is correct
59 Correct 209 ms 30384 KB Output is correct