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Broken Calculator | CodeTutor

Broken Calculator

Medium

Problem

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.

Constraints

1 <= startValue, target <= 10^9

Examples

Input: startValue = 2, target = 3

Output: 2

Use double operation and then decrement operation {2 -> 4 -> 3}.

Input: startValue = 5, target = 8

Output: 2

Use decrement and then double {5 -> 4 -> 8}.

Input: startValue = 3, target = 10

Output: 3

Use double, decrement and double {3 -> 6 -> 5 -> 10}.

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