Submission #224031

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
224031	2020-04-17T05:28:02 Z	crimsonred	Mountains (NOI20_mountains)	C++17	100 / 100	1751 ms	55520 KB

Mountains

#include <bits/stdc++.h>
using namespace std;

#define mod 1'000'000'007
typedef long long ll;

template<typename T>
void deb(initializer_list<T> l)
{
	for (auto &e : l)
		cout << e << ' ';
	cout << endl;
}

struct SegmentTree
{
	vector<ll> st;

	void build(vector<ll>& a, ll n)
	{
		st.resize(2 * n, 0);
		for (ll i = n; i < 2 * n; ++i)
			st[i] = a[i - n];
		for (ll i = n - 1; i > 0; --i)
			st[i] = st[2 * i] + st[2 * i + 1];
	}

	void update(ll idx, ll val, ll n)
	{
		idx += n;
		st[idx] += val;
		for (idx /= 2; idx; idx /= 2)
			st[idx] = st[2 * idx] + st[2 * idx + 1];
	}

	ll query(ll left, ll right, ll n)
	{
		left += n;
		right += n;
		ll sum = 0;
		while (left < right)
		{
			if (left % 2 == 1)
			{
				sum += st[left];
				++left;
			}
			if (right % 2 == 1)
			{
				--right;
				sum += st[right];
			}
			left /= 2;
			right /= 2;
		}
		return sum;
	}
};

void solve()
{
	ll n;
	cin >> n;
	vector<ll> a(n);
	set<ll> s;
	for (auto &e : a)
	{
		cin >> e;
		s.insert(e);
	}

	map<ll, ll> m;
	ll num = 0;
	for (auto &e : s)
		m[e] = num++;

	vector<ll> left(n, 0), right(n, 0);
	++left[m[a[0]]];
	for (ll i = 1; i < n; ++i)
		++right[m[a[i]]];

	SegmentTree l, r;
	l.build(left, n);
	r.build(right, n);

	ll ans = 0;
	for (ll i = 1; i < n - 1; ++i)
	{
		r.update(m[a[i]], -1, n);
		ans += l.query(0, m[a[i]], n) * r.query(0, m[a[i]], n);
		l.update(m[a[i]], 1, n);
	}
	cout << ans << '\n';
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);

	int t = 1;
	// cin >> t;
	while (t--)
		solve();

	return 0;
}

Subtask #1
2.0 / 2.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	463 ms	55224 KB	Output is correct
3	Correct	460 ms	55292 KB	Output is correct
4	Correct	456 ms	55288 KB	Output is correct
5	Correct	473 ms	55160 KB	Output is correct
6	Correct	476 ms	55160 KB	Output is correct
7	Correct	489 ms	55288 KB	Output is correct
8	Correct	483 ms	55160 KB	Output is correct
9	Correct	394 ms	39416 KB	Output is correct
10	Correct	391 ms	39416 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	72 ms	17400 KB	Output is correct
2	Correct	67 ms	17408 KB	Output is correct
3	Correct	64 ms	17408 KB	Output is correct
4	Correct	65 ms	17400 KB	Output is correct
5	Correct	72 ms	17400 KB	Output is correct
6	Correct	61 ms	17400 KB	Output is correct
7	Correct	67 ms	17408 KB	Output is correct
8	Correct	59 ms	17428 KB	Output is correct
9	Correct	62 ms	17408 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct

Subtask #3
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	72 ms	17400 KB	Output is correct
2	Correct	67 ms	17408 KB	Output is correct
3	Correct	64 ms	17408 KB	Output is correct
4	Correct	65 ms	17400 KB	Output is correct
5	Correct	72 ms	17400 KB	Output is correct
6	Correct	61 ms	17400 KB	Output is correct
7	Correct	67 ms	17408 KB	Output is correct
8	Correct	59 ms	17428 KB	Output is correct
9	Correct	62 ms	17408 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	125 ms	17656 KB	Output is correct
12	Correct	127 ms	17656 KB	Output is correct
13	Correct	127 ms	17656 KB	Output is correct
14	Correct	129 ms	17656 KB	Output is correct
15	Correct	126 ms	17656 KB	Output is correct
16	Correct	126 ms	17656 KB	Output is correct
17	Correct	128 ms	17656 KB	Output is correct
18	Correct	86 ms	17656 KB	Output is correct
19	Correct	81 ms	17660 KB	Output is correct
20	Correct	5 ms	384 KB	Output is correct

Subtask #4
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	5 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct
9	Correct	6 ms	384 KB	Output is correct
10	Correct	4 ms	384 KB	Output is correct

Subtask #5
28.0 / 28.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	5 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct
9	Correct	6 ms	384 KB	Output is correct
10	Correct	4 ms	384 KB	Output is correct
11	Correct	22 ms	2176 KB	Output is correct
12	Correct	24 ms	2176 KB	Output is correct
13	Correct	20 ms	2176 KB	Output is correct
14	Correct	20 ms	2176 KB	Output is correct
15	Correct	20 ms	2176 KB	Output is correct
16	Correct	22 ms	2176 KB	Output is correct
17	Correct	20 ms	2176 KB	Output is correct
18	Correct	17 ms	1536 KB	Output is correct
19	Correct	13 ms	1024 KB	Output is correct
20	Correct	4 ms	384 KB	Output is correct

Subtask #6
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	72 ms	17400 KB	Output is correct
2	Correct	67 ms	17408 KB	Output is correct
3	Correct	64 ms	17408 KB	Output is correct
4	Correct	65 ms	17400 KB	Output is correct
5	Correct	72 ms	17400 KB	Output is correct
6	Correct	61 ms	17400 KB	Output is correct
7	Correct	67 ms	17408 KB	Output is correct
8	Correct	59 ms	17428 KB	Output is correct
9	Correct	62 ms	17408 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	125 ms	17656 KB	Output is correct
12	Correct	127 ms	17656 KB	Output is correct
13	Correct	127 ms	17656 KB	Output is correct
14	Correct	129 ms	17656 KB	Output is correct
15	Correct	126 ms	17656 KB	Output is correct
16	Correct	126 ms	17656 KB	Output is correct
17	Correct	128 ms	17656 KB	Output is correct
18	Correct	86 ms	17656 KB	Output is correct
19	Correct	81 ms	17660 KB	Output is correct
20	Correct	5 ms	384 KB	Output is correct
21	Correct	746 ms	29048 KB	Output is correct
22	Correct	947 ms	28792 KB	Output is correct
23	Correct	940 ms	28984 KB	Output is correct
24	Correct	774 ms	28968 KB	Output is correct
25	Correct	714 ms	29048 KB	Output is correct
26	Correct	822 ms	29024 KB	Output is correct
27	Correct	749 ms	28980 KB	Output is correct
28	Correct	309 ms	28988 KB	Output is correct
29	Correct	311 ms	28920 KB	Output is correct
30	Correct	5 ms	384 KB	Output is correct

Subtask #7
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	463 ms	55224 KB	Output is correct
3	Correct	460 ms	55292 KB	Output is correct
4	Correct	456 ms	55288 KB	Output is correct
5	Correct	473 ms	55160 KB	Output is correct
6	Correct	476 ms	55160 KB	Output is correct
7	Correct	489 ms	55288 KB	Output is correct
8	Correct	483 ms	55160 KB	Output is correct
9	Correct	394 ms	39416 KB	Output is correct
10	Correct	391 ms	39416 KB	Output is correct
11	Correct	72 ms	17400 KB	Output is correct
12	Correct	67 ms	17408 KB	Output is correct
13	Correct	64 ms	17408 KB	Output is correct
14	Correct	65 ms	17400 KB	Output is correct
15	Correct	72 ms	17400 KB	Output is correct
16	Correct	61 ms	17400 KB	Output is correct
17	Correct	67 ms	17408 KB	Output is correct
18	Correct	59 ms	17428 KB	Output is correct
19	Correct	62 ms	17408 KB	Output is correct
20	Correct	5 ms	384 KB	Output is correct
21	Correct	125 ms	17656 KB	Output is correct
22	Correct	127 ms	17656 KB	Output is correct
23	Correct	127 ms	17656 KB	Output is correct
24	Correct	129 ms	17656 KB	Output is correct
25	Correct	126 ms	17656 KB	Output is correct
26	Correct	126 ms	17656 KB	Output is correct
27	Correct	128 ms	17656 KB	Output is correct
28	Correct	86 ms	17656 KB	Output is correct
29	Correct	81 ms	17660 KB	Output is correct
30	Correct	5 ms	384 KB	Output is correct
31	Correct	5 ms	384 KB	Output is correct
32	Correct	5 ms	384 KB	Output is correct
33	Correct	5 ms	384 KB	Output is correct
34	Correct	5 ms	384 KB	Output is correct
35	Correct	5 ms	384 KB	Output is correct
36	Correct	5 ms	384 KB	Output is correct
37	Correct	5 ms	384 KB	Output is correct
38	Correct	5 ms	384 KB	Output is correct
39	Correct	6 ms	384 KB	Output is correct
40	Correct	4 ms	384 KB	Output is correct
41	Correct	22 ms	2176 KB	Output is correct
42	Correct	24 ms	2176 KB	Output is correct
43	Correct	20 ms	2176 KB	Output is correct
44	Correct	20 ms	2176 KB	Output is correct
45	Correct	20 ms	2176 KB	Output is correct
46	Correct	22 ms	2176 KB	Output is correct
47	Correct	20 ms	2176 KB	Output is correct
48	Correct	17 ms	1536 KB	Output is correct
49	Correct	13 ms	1024 KB	Output is correct
50	Correct	4 ms	384 KB	Output is correct
51	Correct	746 ms	29048 KB	Output is correct
52	Correct	947 ms	28792 KB	Output is correct
53	Correct	940 ms	28984 KB	Output is correct
54	Correct	774 ms	28968 KB	Output is correct
55	Correct	714 ms	29048 KB	Output is correct
56	Correct	822 ms	29024 KB	Output is correct
57	Correct	749 ms	28980 KB	Output is correct
58	Correct	309 ms	28988 KB	Output is correct
59	Correct	311 ms	28920 KB	Output is correct
60	Correct	5 ms	384 KB	Output is correct
61	Correct	1336 ms	55332 KB	Output is correct
62	Correct	1328 ms	55264 KB	Output is correct
63	Correct	1567 ms	55416 KB	Output is correct
64	Correct	1362 ms	55520 KB	Output is correct
65	Correct	1751 ms	55200 KB	Output is correct
66	Correct	1358 ms	55260 KB	Output is correct
67	Correct	1495 ms	55340 KB	Output is correct
68	Correct	1202 ms	39416 KB	Output is correct
69	Correct	1100 ms	32892 KB	Output is correct
70	Correct	4 ms	384 KB	Output is correct

Submission #224031

Compilation message

Subtask #1 2.0 / 2.0

Subtask #2 4.0 / 4.0

Subtask #3 9.0 / 9.0

Subtask #4 36.0 / 36.0

Subtask #5 28.0 / 28.0

Subtask #6 9.0 / 9.0

Subtask #7 12.0 / 12.0

Subtask #1
2.0 / 2.0

Subtask #2
4.0 / 4.0

Subtask #3
9.0 / 9.0

Subtask #4
36.0 / 36.0

Subtask #5
28.0 / 28.0

Subtask #6
9.0 / 9.0

Subtask #7
12.0 / 12.0