There is a broken calculator that has the integer startValue on its display initially. In on operation you can:
- multiply the number on the display by
2, or - subtract
1from the number on the 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}.
Example 4:
Input: startValue = 1024, target = 1 Output: 1023 Explanation: Use decrement operations 1023 times.
Constraints:
1 <= x, y <= 109
- 2 Keys Keyboard (Medium)