In the world of Amazon’s vast inventory management, you face a challenge of optimizing two inventories, inv1 and inv2, each containing n elements.
Your goal is to maximize the similarity between these inventories. The similarity is measured by the number of indices i (0 ≤ i < n) where inv1[i] equals inv2[i].
Amazon provides a unique tool, the “Inventory Optimizer”. This tool allows you to perform the following operation:
- Select two distinct indices
iandj(where 0 ≤ i, j < n and i ≠ j), provided that thejth element ofinv1is positive. - Apply the operation: add 1 to
inv1[i]and subtract 1 frominv1[j].
Using the Inventory Optimizer, you can perform this operation any number of times (including zero) to maximize the similarity between inv1 and inv2.
Constraints
1<=n<=1e5
1<=inv1[i],inv2[i]<=1e4