CSES - Aalto Competitive Programming 2024 - wk10 - Homework - Results
Submission details
Task:Line Segment Intersection
Sender:snude
Submission time:2024-11-08 13:19:40 +0200
Language:C++ (C++11)
Status:READY
Result:
Test results
testverdicttime
#10.10 sdetails
#20.09 sdetails
#3ACCEPTED0.10 sdetails
#4ACCEPTED0.12 sdetails
#5ACCEPTED0.00 sdetails
#60.00 sdetails

Code

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
typedef long long C;
typedef complex<C> P;
#define X real()
#define Y imag()

// Debug printing
#ifdef DEBUG
#define deb(fmt, args...) printf("DEBUG: %d: " fmt, __LINE__, ##args)
#define debug_print(fmt, args...) printf(fmt, ##args)
#else
#define deb(fmt, args...)
#define debug_print(fmt, args...)
#endif

void print_array(vector<int> in, const string title = "Vector")
{
	debug_print("DEBUG: %s [\nDEBUG: ", title.c_str());
	for (unsigned int i = 0; i < in.size(); i++) {
		debug_print("%d ", in[i]);
	}
	debug_print("\nDEBUG: ] END\n");
}

void print_matrix(vector<vector<int> > in, const string title = "Matrix")
{
	debug_print("DEBUG: %s [\nDEBUG: ", title.c_str());
	for (unsigned int i = 0; i < in.size(); i++) {
		for (unsigned int j = 0; j < in[i].size(); j++) {
			debug_print("%d ", in[i][j]);
		}
		debug_print("\nDEBUG: ");
	}
	debug_print("DEBUG: ] END\n");
}

int main(int argc, char *argv[])
{
	ios::sync_with_stdio(0);
	cin.tie(0);

	// Read the input parameters
	int n;
	cin >> n;

	double err = 0.000000001;

	for (int i = 0; i < n; i++) {
		int x1, y1, x2, y2;
		int x3, y3, x4, y4;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3 >> x4 >> y4;
		P a = {x1, y1};
		P b = {x2, y2};
		P c = {x3, y3};
		P d = {x4, y4};

		// Same endpoints
		if (a == c || a == d || b == c || b == d) {
			cout << "YES\n";
			continue;
		}

		double k = 1.0 * (y2 - y1) / (x2 - x1);
		double k2 = 1.0 * (y4 - y3) / (x4 - x3);

		// Same slopes, check if they overlap
		if (abs(k - k2) <= err) {
			int l = max(min(x1, x2), min(x3, x4));
			int r = min(max(x1, x2), max(x3, x4));
			double x = (y3 + k * x1 - y1) / k;
			if (x >= l && x <= r) {
				cout << "YES\n";
				continue;
			}
		}

		// Check if there is intersection
		double top = (-k * x1) + y1 + (k2 * x3) - y3;
		double x = top / (k2 - k);

		int l = max(min(x1, x2), min(x3, x4));
		int r = min(max(x1, x2), max(x3, x4));
		if (x >= l && x <= r) {
			cout << "YES\n";
			continue;
		}
		cout << "NO\n";
	}
}

Test details

Test 1

Verdict:

input
100000
9 7 1 8 8 -5 0 2
10 1 -1 2 -4 1 -7 3
10 2 -8 6 1 2 2 -1
-10 1 9 -7 4 -3 -5 0
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 2

Verdict:

input
100000
81 745 -967 768 -451 -490 -454...

correct output
NO
NO
YES
NO
YES
...

user output
NO
NO
YES
NO
YES
...

Test 3

Verdict: ACCEPTED

input
100000
492853 -452834 -657156 -282543...

correct output
YES
YES
NO
YES
YES
...

user output
YES
YES
NO
YES
YES
...

Test 4

Verdict: ACCEPTED

input
100000
788522666 939776556 -831492125...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 5

Verdict: ACCEPTED

input
1
1 6 6 6 4 4 1000000000 1000000...

correct output
YES

user output
YES

Test 6

Verdict:

input
1
-1000000000 1000000000 9999999...

correct output
NO

user output
YES