Submission details
Task:Closest points
Sender:aalto25k_002
Submission time:2025-11-12 17:04:01 +0200
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.05 sdetails
#2--details
#3--details
#4--details
#5ACCEPTED0.04 sdetails
#6--details
#7ACCEPTED0.04 sdetails
#8ACCEPTED0.04 sdetails
#9ACCEPTED0.04 sdetails
#10--details
#11ACCEPTED0.04 sdetails
#12ACCEPTED0.04 sdetails
#13--details
#14ACCEPTED0.04 sdetails
#15ACCEPTED0.06 sdetails
#16--details
#17--details
#18ACCEPTED0.04 sdetails

Code

import heapq
def minimum_coverage_distance(points):
    min_edge = float('inf')
    n = len(points)
    for i in range(n):
        xi, yi = points[i]

        for j in range(i + 1, n):
            xj, yj = points[j]
            dist = ((xi - xj) ** 2 + (yi - yj) ** 2)
            min_edge = min(min_edge, dist) 
    return min_edge




    seen = set()
    min_heap = [(float('inf'), 0)]
    while len(seen) < n:
        dist, i = heapq.heappop(min_heap)
        if i in seen:
            continue
        seen.add(i)
        min_edge = min(min_edge, dist)

        xi, yi = points[i]
        for j in range(n):
            if j not in seen:
                xj, yj = points[j]
                new_dist = ((xi - xj) ** 2 + (yi - yj) ** 2)
                heapq.heappush(min_heap, (new_dist, j))
    return min_edge

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

    mec = minimum_coverage_distance(points)
    print(mec)


Test details

Test 1

Verdict: ACCEPTED

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

correct output
1

user output
1

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: ACCEPTED

input
4
0 0
0 3
3 0
1 1

correct output
2

user output
2

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: ACCEPTED

input
4
10 6
4 10
8 3
2 3

correct output
13

user output
13

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: ACCEPTED

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

correct output
16

user output
16

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: ACCEPTED

input
4
0 0
5 8
6 1
10000 0

correct output
37

user output
37

Test 15

Verdict: ACCEPTED

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

correct output
2

user output
2

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: ACCEPTED

input
3
-1000000000 -1000000000
1000000000 1000000000
1000000000 -1000000000

correct output
4000000000000000000

user output
4000000000000000000