0991. Broken Calculator

https://leetcode.com/problems/broken-calculator

Description

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

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