Task: | Point in Polygon |
Sender: | arnxxau |
Submission time: | 2024-11-11 16:43:13 +0200 |
Language: | C++ (C++20) |
Status: | READY |
Result: | WRONG ANSWER |
test | verdict | time | |
---|---|---|---|
#1 | ACCEPTED | 0.01 s | details |
#2 | ACCEPTED | 0.01 s | details |
#3 | WRONG ANSWER | 0.00 s | details |
#4 | ACCEPTED | 0.00 s | details |
#5 | WRONG ANSWER | 0.00 s | details |
#6 | WRONG ANSWER | 0.00 s | details |
#7 | ACCEPTED | 0.00 s | details |
#8 | WRONG ANSWER | 0.00 s | details |
#9 | ACCEPTED | 0.00 s | details |
#10 | ACCEPTED | 0.00 s | details |
#11 | ACCEPTED | 0.00 s | details |
#12 | ACCEPTED | 0.00 s | details |
#13 | ACCEPTED | 0.00 s | details |
Code
#include <iostream> #include <vector> using namespace std; #define ll long long int struct Point { ll x, y; }; ll crossProduct(const Point& p1, const Point& p2, const Point& p3) { return (p2.x - p1.x) * (p3.y - p1.y) - (p2.y - p1.y) * (p3.x - p1.x); } bool isPointOnSegment(const Point& p, const Point& p1, const Point& p2) { return crossProduct(p1, p2, p) == 0 && p.x >= min(p1.x, p2.x) && p.x <= max(p1.x, p2.x) && p.y >= min(p1.y, p2.y) && p.y <= max(p1.y, p2.y); } ll windingNumber(const vector<Point>& polygon, const Point& point) { int n = polygon.size(); ll windingNumber = 0; for (int i = 0; i < n; i++) { Point p1 = polygon[i]; Point p2 = polygon[(i + 1) % n]; if (isPointOnSegment(point, p1, p2)) { return -1; } if (p1.y <= point.y) { if (p2.y > point.y && crossProduct(p1, p2, point) > 0) { windingNumber++; } } else { if (p2.y <= point.y && crossProduct(p1, p2, point) < 0) { windingNumber--; } } } return windingNumber; } int main() { int n, m; cin >> n >> m; vector<Point> polygon(n); for (int i = 0; i < n; i++) { cin >> polygon[i].x; cin >> polygon[i].y; } for (int i = 0; i < m; i++) { Point point; cin >> point.x; cin >> point.y; if (windingNumber(polygon, point) == -1) cout << "BOUNDARY" << endl; else if (windingNumber(polygon, point) == 0) cout << "OUTSIDE" << endl; else cout << "INSIDE" << endl; } }
Test details
Test 1
Verdict: ACCEPTED
input |
---|
100 1000 -7 -19 91 77 100 100 64 60 ... |
correct output |
---|
INSIDE OUTSIDE INSIDE INSIDE INSIDE ... |
user output |
---|
INSIDE OUTSIDE INSIDE INSIDE INSIDE ... Truncated |
Test 2
Verdict: ACCEPTED
input |
---|
1000 1000 365625896 -113418831 278762563 38777445 250367343 -96991975 175866909 -129766978 ... |
correct output |
---|
OUTSIDE OUTSIDE INSIDE OUTSIDE OUTSIDE ... |
user output |
---|
OUTSIDE OUTSIDE INSIDE OUTSIDE OUTSIDE ... Truncated |
Test 3
Verdict: WRONG ANSWER
input |
---|
4 1 1 5 5 5 5 1 1 1 ... |
correct output |
---|
INSIDE |
user output |
---|
BOUNDARY |
Test 4
Verdict: ACCEPTED
input |
---|
4 1 1 5 5 5 5 1 1 1 ... |
correct output |
---|
OUTSIDE |
user output |
---|
OUTSIDE |
Test 5
Verdict: WRONG ANSWER
input |
---|
4 1 1 100 2 50 1 20 0 50 ... |
correct output |
---|
INSIDE |
user output |
---|
BOUNDARY |
Test 6
Verdict: WRONG ANSWER
input |
---|
8 1 0 0 0 2 1 1 2 2 ... |
correct output |
---|
INSIDE |
user output |
---|
BOUNDARY |
Test 7
Verdict: ACCEPTED
input |
---|
4 4 0 0 3 0 3 4 0 4 ... |
correct output |
---|
INSIDE BOUNDARY OUTSIDE BOUNDARY |
user output |
---|
INSIDE BOUNDARY OUTSIDE BOUNDARY |
Test 8
Verdict: WRONG ANSWER
input |
---|
6 1 0 0 0 2 3 1 2 2 ... |
correct output |
---|
INSIDE |
user output |
---|
BOUNDARY |
Test 9
Verdict: ACCEPTED
input |
---|
3 1 0 0 1 1000000000 -3 0 1 1 |
correct output |
---|
OUTSIDE |
user output |
---|
OUTSIDE |
Test 10
Verdict: ACCEPTED
input |
---|
3 1 -100000 0 -1000000000 -999999999 1000000000 1000000000 0 0 |
correct output |
---|
OUTSIDE |
user output |
---|
OUTSIDE |
Test 11
Verdict: ACCEPTED
input |
---|
3 1 -100000 0 -999999999 -1000000000 1000 1000 0 0 |
correct output |
---|
INSIDE |
user output |
---|
INSIDE |
Test 12
Verdict: ACCEPTED
input |
---|
4 1 -4 1 -6 1 -6 -1 -4 -1 ... |
correct output |
---|
INSIDE |
user output |
---|
INSIDE |
Test 13
Verdict: ACCEPTED
input |
---|
3 1 0 10 0 -10 10 0 1 0 |
correct output |
---|
INSIDE |
user output |
---|
INSIDE |