Broken Calculator There is a broken calculator that has the integer startValue
on its display initially. In one operation, you can:
- multiply the number on display by
2
, or - subtract
1
from the number on display.
Given two integers startValue
and target
, return the minimum number of operations needed to display target
on the calculator.
Example 1:
Input: startValue = 2, target = 3 Output: 2 Explanation: Use double operation and then decrement operation {2 -> 4 -> 3}.
Example 2:
Input: startValue = 5, target = 8 Output: 2 Explanation: Use decrement and then double {5 -> 4 -> 8}.
Example 3:
Input: startValue = 3, target = 10 Output: 3 Explanation: Use double, decrement and double {3 -> 6 -> 5 -> 10}.
Constraints:
1 <= x, y <= 109
Broken Calculator Solutions
✅Time: O(n)
✅Space: O(n)
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