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TODO 2300. Successful Pairs of Spells and Potions   medium

You are given two positive integer arrays spells and potions, of length n and m respectively, where spells[i] represents the strength of the i^{th} spell and potions[j] represents the strength of the j^{th} potion.

You are also given an integer success. A spell and potion pair is considered successful if the product of their strengths is at least success.

Return an integer array /~pairs~ of length n where pairs[i] is the number of potions that will form a successful pair with the i^{th} spell./

Example 1:

Input: spells = [5,1,3], potions = [1,2,3,4,5], success = 7
Output: [4,0,3]
Explanation:
- 0th spell: 5 * [1,2,3,4,5] = [5,10,15,20,25]. 4 pairs are successful.
- 1st spell: 1 * [1,2,3,4,5] = [1,2,3,4,5]. 0 pairs are successful.
- 2nd spell: 3 * [1,2,3,4,5] = [3,6,9,12,15]. 3 pairs are successful.
Thus, [4,0,3] is returned.

Example 2:

Input: spells = [3,1,2], potions = [8,5,8], success = 16
Output: [2,0,2]
Explanation:
- 0th spell: 3 * [8,5,8] = [24,15,24]. 2 pairs are successful.
- 1st spell: 1 * [8,5,8] = [8,5,8]. 0 pairs are successful. 
- 2nd spell: 2 * [8,5,8] = [16,10,16]. 2 pairs are successful. 
Thus, [2,0,2] is returned.

Constraints:

  • n == spells.length
  • m == potions.length
  • 1 <= n, m <= 10^{5}
  • 1 <= spells[i], potions[i] <= 10^{5}
  • 1 <= success <= 10^{10}

TODO Approach

Write your approach here.

TODO Python

class Solution:
    def successfulPairs(self, spells: List[int], potions: List[int], success: int) -> List[int]:

TODO C++

class Solution {
public:
    vector<int> successfulPairs(vector<int>& spells, vector<int>& potions, long long success) {
        
    }
};