Submission details
Task:Point in Polygon
Sender:banghalq
Submission time:2025-11-10 16:53:21 +0200
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#10.14 sdetails
#2ACCEPTED0.18 sdetails
#3ACCEPTED0.04 sdetails
#4ACCEPTED0.04 sdetails
#5ACCEPTED0.04 sdetails
#60.04 sdetails
#7ACCEPTED0.04 sdetails
#8ACCEPTED0.04 sdetails
#9ACCEPTED0.04 sdetails
#10ACCEPTED0.04 sdetails
#11ACCEPTED0.04 sdetails
#12ACCEPTED0.04 sdetails
#13ACCEPTED0.05 sdetails
#14UNKNOWN--details

Code

n, m = [int(x) for x in input().split()]

polygon = []
for _ in range(n):
    x, y = [int(x) for x in input().split()]
    polygon.append((x, y))

def cross_product(a, b):
    return a[0]*b[1] - a[1]*b[0]

def dans_polygon(point) -> bool:
    """
    Permet de savoir si le polygon 1 est dans le polygon 2
    Cimer Emile
    """
    est_dans_pol = False
    for i in range(n):
        p0 = polygon[i]
        p1 = polygon[(i+1)%n]
        crossprod_point = cross_product((point[0]-p0[0], point[1]-p0[1]), (point[0]-p1[0], point[1]-p1[1]))
        if crossprod_point == 0:
            return True, True
        if min(p1[0],p0[0]) <= point[0] < max(p1[0],p0[0]):
            coef_dir = (p0[1] - p1[1])/(p0[0]- p1[0])
            coef_b = p0[1] - p0[0] * coef_dir
            if point[1] >= (point[0]*coef_dir + coef_b):
                est_dans_pol = not est_dans_pol
    return est_dans_pol, False

res = []
for _ in range(m):
    x, y = [int(x) for x in input().split()]
    loc_res = dans_polygon((x, y))
    if loc_res[0]:
        if loc_res[1]:
            res.append("BOUNDARY")
        else:
            res.append("INSIDE")
    else:
        res.append("OUTSIDE")

for elt in res:
    print(elt)

Test details

Test 1

Verdict:

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
...

Feedback: Incorrect character on line 10 col 1: expected "OUTSIDE", got "BOUNDARY"

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
...

Test 3

Verdict: ACCEPTED

input
4 1
1 5
5 5
5 1
1 1
...

correct output
INSIDE

user output
INSIDE

Test 4

Verdict: ACCEPTED

input
4 1
1 5
5 5
5 1
1 1
...

correct output
OUTSIDE

user output
OUTSIDE

Test 5

Verdict: ACCEPTED

input
4 1
1 100
2 50
1 20
0 50
...

correct output
INSIDE

user output
INSIDE

Test 6

Verdict:

input
8 1
0 0
0 2
1 1
2 2
...

correct output
INSIDE

user output
BOUNDARY

Feedback: Incorrect character on line 1 col 1: expected "INSIDE", got "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: ACCEPTED

input
6 1
0 0
0 2
3 1
2 2
...

correct output
INSIDE

user output
INSIDE

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

Test 14

Verdict: UNKNOWN

input
3 1000
-536621709 -536621709
955833081 955833081
-1 1
-439278425 -439278425
...

correct output
BOUNDARY
BOUNDARY
BOUNDARY
BOUNDARY
BOUNDARY
...

user output
(not available)