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991. Broken Calculator (Medium)

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 1 from 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

Related Topics

[Greedy] [Math]

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