Medium
You are standing at position 0
on an infinite number line. There is a destination at position target
.
You can make some number of moves numMoves
so that:
ith
move (starting from i == 1
to i == numMoves
), you take i
steps in the chosen direction.Given the integer target
, return the minimum number of moves required (i.e., the minimum numMoves
) to reach the destination.
Example 1:
Input: target = 2
Output: 3
Explanation:
On the 1st move, we step from 0 to 1 (1 step).
On the 2nd move, we step from 1 to -1 (2 steps).
On the 3rd move, we step from -1 to 2 (3 steps).
Example 2:
Input: target = 3
Output: 2
Explanation:
On the 1st move, we step from 0 to 1 (1 step).
On the 2nd move, we step from 1 to 3 (2 steps).
Constraints:
-109 <= target <= 109
target != 0
import kotlin.math.abs
import kotlin.math.sqrt
@Suppress("NAME_SHADOWING")
class Solution {
fun reachNumber(target: Int): Int {
var target = target
target = abs(target)
var `val` = (sqrt(1.0 + 8 * target.toLong()).toInt() - 1) / 2
var sum = `val` * (`val` + 1) / 2
while (sum < target || (sum - target) % 2 != 0) {
`val`++
sum += `val`
}
return `val`
}
}