1553 - Minimum Number of Days to Eat N Oranges.

Hard

There are n oranges in the kitchen and you decided to eat some of these oranges every day as follows:

• Eat one orange.

• If the number of remaining oranges n is divisible by 2 then you can eat n / 2 oranges.

• If the number of remaining oranges n is divisible by 3 then you can eat 2 * (n / 3) oranges.

You can only choose one of the actions per day.

Given the integer n, return the minimum number of days to eat n oranges.

Example 1:

Input: n = 10

Output: 4

Explanation: You have 10 oranges.

Day 1: Eat 1 orange, 10 - 1 = 9.

Day 2: Eat 6 oranges, 9 - 2\*(9/3) = 9 - 6 = 3. (Since 9 is divisible by 3)

Day 3: Eat 2 oranges, 3 - 2\*(3/3) = 3 - 2 = 1.

Day 4: Eat the last orange 1 - 1 = 0.

You need at least 4 days to eat the 10 oranges.

Example 2:

Input: n = 6

Output: 3

Explanation: You have 6 oranges.

Day 1: Eat 3 oranges, 6 - 6/2 = 6 - 3 = 3. (Since 6 is divisible by 2).

Day 2: Eat 2 oranges, 3 - 2\*(3/3) = 3 - 2 = 1. (Since 3 is divisible by 3)

Day 3: Eat the last orange 1 - 1 = 0.

You need at least 3 days to eat the 6 oranges.

Constraints:

• <code>1 <= n <= 2 * 10⁹</code>