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Submission #874402

# Submission time Handle Problem Language Result Execution time Memory
874402 2023-11-16T21:31:12 Z TAhmed33 Kućice (COCI21_kucice) C++
110 / 110
 77 ms 892 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int MOD = 1e9 + 7;
int add (int a, int b) {
	a += b; if (a >= MOD) a -= MOD;
	return a;
}
int sub (int a, int b) {
	a -= b; if (a < 0) a += MOD;
	return a;
}
int mul (int a, int b) {
	return (1ll * a * b) % MOD;
}
int pw[20001];
int n;
pair <int, int> arr[1001];
int cross (pair <int, int> x, pair <int, int> y) {
	return x.first * y.second - x.second * y.first;
}
pair <int, int> sub2 (pair <int, int> a, pair <int, int> b) {
	return {a.first - b.first, a.second - b.second};
}
bool ok (pair <int, int> p, pair <int, int> s1, pair <int, int> s2) {
	return cross(sub2(p, s1), sub2(p, s2)) < 0;
}
signed main () {
	pw[0] = 1; for (int i = 1; i <= 20000; i++) pw[i] = mul(2, pw[i - 1]);
	cin >> n;
	for (int i = 1; i <= n; i++) {
		cin >> arr[i].first >> arr[i].second;
	}
	if (n == 1) {
		cout << "1\n"; return 0;
	}
	if (n == 2) {
		cout << "4\n"; return 0;
	}
	if (n == 3) {
		cout << "12\n"; return 0;
	}
	int ans = 0;
	for (int i = 1; i <= n; i++) {
		vector <pair <int, int>> x, y;
		for (int j = 1; j <= n; j++) {
			if (j != i) {
				if (arr[j].first <= arr[i].first) x.push_back(arr[j]);
				else y.push_back(arr[j]);
			}
		}
		sort(x.begin(), x.end(), [&] (pair <int, int> &a, pair <int, int> &b) {
			return cross(sub2(a, arr[i]), sub2(b, a)) > 0;
		});
		sort(y.begin(), y.end(), [&] (pair <int, int> &a, pair <int, int> &b) {
			return cross(sub2(a, arr[i]), sub2(b, a)) > 0;
		});
		for (auto j : y) x.push_back(j);
		int cnt = 0;
		int r = 0;
		for (int l = 0; l < n - 1; l++) {
			r = (r + 1) % (n - 1);
			while (r != l && ok(x[r], x[l], arr[i])) r = (r + 1) % (n - 1);
			r = (r - 1 + n - 1) % (n - 1);
			int o = 0;
			if (r >= l) o = r - l;
			else o = r + (n - 1) - l;
			cnt = add(cnt, pw[o]);
		}
		ans = add(ans, sub(pw[n], cnt));
	}
	cout << sub(ans, n) << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 60 ms 640 KB Output is correct
7 Correct 67 ms 892 KB Output is correct
8 Correct 56 ms 604 KB Output is correct
9 Correct 68 ms 604 KB Output is correct
10 Correct 56 ms 600 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 0 ms 360 KB Output is correct
3 Correct 0 ms 808 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 59 ms 756 KB Output is correct
7 Correct 68 ms 604 KB Output is correct
8 Correct 57 ms 600 KB Output is correct
9 Correct 68 ms 852 KB Output is correct
10 Correct 56 ms 600 KB Output is correct

Subtask #3
10.0 / 10.0

# 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 604 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 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 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

Subtask #4
30.0 / 30.0

# 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 604 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 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 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 1 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 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 604 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 348 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 60 ms 640 KB Output is correct
7 Correct 67 ms 892 KB Output is correct
8 Correct 56 ms 604 KB Output is correct
9 Correct 68 ms 604 KB Output is correct
10 Correct 56 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 0 ms 360 KB Output is correct
13 Correct 0 ms 808 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 59 ms 756 KB Output is correct
17 Correct 68 ms 604 KB Output is correct
18 Correct 57 ms 600 KB Output is correct
19 Correct 68 ms 852 KB Output is correct
20 Correct 56 ms 600 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 604 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 1 ms 344 KB Output is correct
52 Correct 0 ms 604 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 1 ms 604 KB Output is correct
57 Correct 68 ms 604 KB Output is correct
58 Correct 58 ms 600 KB Output is correct
59 Correct 73 ms 640 KB Output is correct
60 Correct 61 ms 608 KB Output is correct
61 Correct 77 ms 664 KB Output is correct
62 Correct 63 ms 652 KB Output is correct
63 Correct 58 ms 660 KB Output is correct
64 Correct 71 ms 660 KB Output is correct
65 Correct 70 ms 664 KB Output is correct