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Fruits Into Baskets III

Medium

You receive two arrays of integers, fruits and baskets, each of length n, where fruits[i] represents the quantity of the i th type of fruit, and baskets[j] represents the capacity of the j th basket.

From left to right, place the fruits according to these rules:

  • Each fruit type must be placed in the leftmost available basket with a capacity greater than or equal to the quantity of that fruit type.

  • Each basket can hold only one type of fruit.

  • If a fruit type cannot be placed in any basket, it remains unplaced.

Produce the number of fruit types that remain unplaced after all possible allocations are made.

Example 1

Input: fruits = [4,2,5], baskets = [3,5,4]

Output: 1

Explanation:

  • fruits[0] = 4 is placed in baskets[1] = 5.

  • fruits[1] = 2 is placed in baskets[0] = 3.

  • fruits[2] = 5 cannot be placed in baskets[2] = 4.

Since one fruit type remains unplaced, we produce 1.

Example 2

Input: fruits = [3,6,1], baskets = [6,4,7]

Output: 0

Explanation:

  • fruits[0] = 3 is placed in baskets[0] = 6.

  • fruits[1] = 6 cannot be placed in baskets[1] = 4 (insufficient capacity) but can be placed in the next available basket, baskets[2] = 7.

  • fruits[2] = 1 is placed in baskets[1] = 4.

Since all fruits are successfully placed, we produce 0.

Constraints

  • n == fruits.length == baskets.length
  • 1 <= n <= 10^5
  • 1 <= fruits[i], baskets[i] <= 10^9

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