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Algorithm Challenge Available At CodeFights

You find yourself in Bananaland trying to buy a banana. You are super rich so you have an unlimited supply of banana-coins, but you are trying to use as few coins as possible.

The coin values available in Bananaland are stored in a sorted array coins. coins[0] = 1, and for each i (0 < i < coins.length) coins[i] is divisible by coins[i - 1]. Find the minimal number of banana-coins you'll have to spend to buy a banana given the banana's price.

Example

For coins = [1, 2, 10] and price = 28, the output should be minimalNumberOfCoins(coins, price) = 6.

You have to use 10 twice, and 2 four times.

Input/Output

  • [execution time limit] 5 seconds (ts)
  • [input] array.integer coins

The coin values available in Bananaland.

Guaranteed constraints:

1 ≤ coins.length ≤ 5,

1 ≤ coins[i] ≤ 120.

  • [input] integer price

A positive integer representing the price of the banana.

Guaranteed constraints:

8 ≤ price ≤ 250.

  • [output] integer

The minimal number of coins you can use to buy the banana.