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
`i`

and`j`

(where 0 ≤ i, j < n and i ≠ j), provided that the`j`

th element of`inv1`

is positive. - Apply the operation: add 1 to
`inv1[i]`

and subtract 1 from`inv1[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