Task: | Line Segment Intersection |
Sender: | snude |
Submission time: | 2024-11-11 16:54:44 +0200 |
Language: | C++ (C++11) |
Status: | READY |
Result: | ACCEPTED |
test | verdict | time | |
---|---|---|---|
#1 | ACCEPTED | 0.07 s | details |
#2 | ACCEPTED | 0.08 s | details |
#3 | ACCEPTED | 0.10 s | details |
#4 | ACCEPTED | 0.12 s | details |
#5 | ACCEPTED | 0.00 s | details |
#6 | ACCEPTED | 0.00 s | details |
Code
#include <bits/stdc++.h> #include <cmath> 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"); } double angle(int x1, int y1, int x2, int y2) { double dot = x1*x2 + y1*y2; double cross = x1*y2 - y1*x2; return atan2(cross, dot); } double dist(int x1, int y1, int x2, int y2) { return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); } int main(int argc, char *argv[]) { ios::sync_with_stdio(0); cin.tie(0); // Read the input parameters int n; cin >> n; double err = 0.00000000000001; for (int i = 0; i < n; i++) { ll x1, y1, x2, y2; ll 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}; P v1 = b - a; P v2 = d - c; // deb("round: %d\n",i); // 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); // deb("k: %f, k2: %f\n", k, k2); ll cross = (conj(v1)*v2).Y; // Same slopes, check if they overlap if (cross == 0) { // deb("vittu\n"); double ac = dist(x1, y1, x3, y3); double cb = dist(x3, y3, x2, y2); double ab = dist(x1, y1, x2, y2); double ad = dist(x1, y1, x4, y4); double db = dist(x4, y4, x2, y2); // deb("%f %f %f\n", ac, cb, ab); if (abs(ac + cb - ab) <= err) { cout << "YES\n"; continue; } // deb("%f %f %f\n", ad, db, ab); if (abs(ad + db - ab) <= err) { cout << "YES\n"; continue; } double ca = dist(x1, y1, x3, y3); double cd = dist(x3, y3, x4, y4); double bd = dist(x2, y2, x4, y4); // deb("%f %f %f\n", ca, ad, cd); if (abs(ca + ad - cd) <= err) { cout << "YES\n"; continue; } // deb("%f %f %f\n", cb, bd, cd); if (abs(cb + bd - cd) <= err) { cout << "YES\n"; continue; } } // deb("%d %d %d %d %d %d %d %d\n", x1, y1, x2, y2, x3, y3, x4, y4); double t1 = (1.0 * (x1 - x3) * (y3 - y4) - (y1 - y3) * (x3 - x4)); double t2 = (1.0 * (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4)); double u1 = -(1.0 * (x1 - x2) * (y1 - y3) - (y1 - y2) * (x1 - x3)); double u2 = (1.0 * (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4)); double t = t1 / t2; double u = u1 / u2; // deb("t: %f, u: %f\n", t, u); if (u >= -err && u <= 1.0 + err && t >= -err && t <= 1.0 + err) { cout << "YES\n"; continue; } cout << "NO\n"; } }
Test details
Test 1
Verdict: ACCEPTED
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: ACCEPTED
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: ACCEPTED
input |
---|
1 -1000000000 1000000000 9999999... |
correct output |
---|
NO |
user output |
---|
NO |