Submission details
Task:Closest points
Sender:hy2025_002
Submission time:2025-11-12 17:51:01 +0200
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#10.05 sdetails
#2--details
#3--details
#4--details
#50.04 sdetails
#6--details
#7ACCEPTED0.04 sdetails
#80.04 sdetails
#9ACCEPTED0.04 sdetails
#10--details
#110.04 sdetails
#12ACCEPTED0.04 sdetails
#13--details
#140.04 sdetails
#150.08 sdetails
#16--details
#17--details
#180.04 sdetails

Code

import math
from bisect import bisect_left, bisect_right, insort

def closest_pair(points, n):
    points.sort(key=lambda p: (p[0], p[1]))
    active = []
    best_sq = float('inf')
    left = 0


    for i in range(n):
        x, i = points[i]
        D = math.isqrt(int(best_sq)) + 1 if best_sq != float('inf') else float('inf')

        while left < i and x - points[left][0] >= D:
            tup = (points[left][1], points[left][0])
            pos = bisect_left(active, tup)
            if pos < len(active) and active[pos] == tup:
                del active[pos]
            left +=1

        lo = bisect_left(active, (y - D, -math.inf))
        hi = bisect_right(active, (y + D, math.inf))

        for yj, xj in active[lo:hi]:
            dx = x - xj
            dy = y - yj
            d2 = dx * dx + dy * dy
            if d2 < best_sq:
                best_sq = d2

        insort(active, (y,x))

    return int(best_sq)




if __name__ == "__main__":
    n = int(input())
    points = []
    for _ in range(n):
        (x,y) = map(int,  input().split())
        points.append((x,y))
    print(closest_pair(points, n)*2)




Test details

Test 1

Verdict:

input
100
58 36
81 -7
46 49
87 -58
...

correct output
1

user output
0

Feedback: Incorrect character on line 1 col 1: expected "1", got "0"

Test 2

Verdict:

input
200000
-222 -705
277 680
-436 561
528 -516
...

correct output
1

user output
(empty)

Test 3

Verdict:

input
200000
-464738043 865360844
465231470 129093134
-276549869 -21946314
111055008 -48821736
...

correct output
25413170

user output
(empty)

Test 4

Verdict:

input
200000
1 513001000
2 689002000
3 785003000
4 799004000
...

correct output
1000000

user output
(empty)

Test 5

Verdict:

input
4
0 0
0 3
3 0
1 1

correct output
2

user output
0

Feedback: Incorrect character on line 1 col 1: expected "2", got "0"

Test 6

Verdict:

input
200000
1 0
1 1
1 2
1 3
...

correct output
1

user output
(empty)

Test 7

Verdict: ACCEPTED

input
4
1 2
10 3
3 5
8 5

correct output
8

user output
8

Test 8

Verdict:

input
4
10 6
4 10
8 3
2 3

correct output
13

user output
8

Feedback: Incorrect character on line 1 col 1: expected "13", got "8"

Test 9

Verdict: ACCEPTED

input
2
-999999999 -999999999
999999999 999999999

correct output
7999999984000000008

user output
7999999984000000008

Test 10

Verdict:

input
200000
0 1
1 1
2 1
3 1
...

correct output
1

user output
(empty)

Test 11

Verdict:

input
8
1 10000
-1 -10000
2 0
-2 0
...

correct output
16

user output
2

Feedback: Incorrect character on line 1 col 1: expected "16", got "2"

Test 12

Verdict: ACCEPTED

input
3
-1000000000 -1000000000
1000000000 1000000000
0 0

correct output
2000000000000000000

user output
2000000000000000000

Test 13

Verdict:

input
199999
1 1
2 1
3 1
4 1
...

correct output
1

user output
(empty)

Test 14

Verdict:

input
4
0 0
5 8
6 1
10000 0

correct output
37

user output
2

Feedback: Incorrect character on line 1 col 1: expected "37", got "2"

Test 15

Verdict:

input
435
-842 -199
-480 798
-176 -406
792 608
...

correct output
2

user output
0

Feedback: Incorrect character on line 1 col 1: expected "2", got "0"

Test 16

Verdict:

input
200000
1 0
1 2
1 4
1 6
...

correct output
4

user output
(empty)

Test 17

Verdict:

input
200000
0 1
2 1
4 1
6 1
...

correct output
4

user output
(empty)

Test 18

Verdict:

input
3
-1000000000 -1000000000
1000000000 1000000000
1000000000 -1000000000

correct output
4000000000000000000

user output
0

Feedback: Incorrect character on line 1 col 1: expected "400000000000...", got "0"