1552. Magnetic Force Between Two Balls
In universe Earth C-137, Rick discovered a special form of magnetic force between two balls if they are put in his new invented basket. Rick has n
empty baskets, the ith
basket is at position[i]
, Morty has m
balls and needs to distribute the balls into the baskets such that the minimum magnetic force between any two balls is maximum.
Rick stated that magnetic force between two different balls at positions x
and y
is |x - y|
.
Given the integer array position
and the integer m
. Return the required force.
Example 1:
Input: position = [1,2,3,4,7], m = 3
Output: 3
Explanation: Distributing the 3 balls into baskets 1, 4 and 7 will make the magnetic force between ball pairs [3, 3, 6]. The minimum magnetic force is 3. We cannot achieve a larger minimum magnetic force than 3.
Example 2:
Input: position = [5,4,3,2,1,1000000000], m = 2
Output: 999999999
Explanation: We can use baskets 1 and 1000000000.
Constraints:
n == position.length
2 <= n <= 10^5
1 <= position[i] <= 10^9
- All integers in
position
are distinct. 2 <= m <= position.length
# @lc code=start
using LeetCode
function max_distance(position::Vector{Int}, m::Int)
sort!(position)
lowest, highest = 1, position[end] - position[1]
while lowest < highest
mid = (highest + lowest + 1) ÷ 2
left_pos = position[1]
left_num = m - 1
for pos in position
if pos - left_pos >= mid
left_pos = pos
left_num -= 1
if left_num == 0
break
end
end
end
if left_num == 0
lowest = mid
else
highest = mid - 1
end
end
lowest
end
# @lc code=end
max_distance (generic function with 1 method)
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