Code Question 1: Regex Generator Prototype

Problem Statement:
Amazon developers are building a prototype for a regex generator. The goal is to find the longest regex that matches two given strings x and y but does not match a third string z. If no such regex exists, return -1. If multiple regexes exist, return the lexicographically smallest one.

A regex is valid if:

1. It consists of uppercase English letters, [, and ].
2. Characters inside square brackets [ ] do not repeat.
3. Square brackets must contain at least one character and be balanced.

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Function Signature:

def findLongestRegex(x: str, y: str, z: str) -> str:
    pass

Input:

• x (string): A string to match.
• y (string): A string to match.
• z (string): A string not to match.

Output:

• string: The longest lexicographically smallest regex matching x and y but not z, or -1 if no such regex exists.

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Example Input/Output:
Input:

x = "AB"
y = "BD"
z = "CD"

Output:

"[ABCDEFGHJKLMNOPQRSTUVWXYZ][ABCDEFGHJKLMNOPQRSTUVWXYZ]"

Explanation:
The regex matches x and y but not z. It is the longest valid regex that satisfies the criteria.

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Code Question 2: Time-Series Data Dependency

Problem Statement:
Data analysts at Amazon are analyzing time-series data. The data of the nth item is dependent on the data of some xth day if there exists a positive integer k such that:
floor(n / k) = x.

Given an integer n, find the sum of all the days' numbers on which the data of the xth (0 ≤ x ≤ n) will be dependent.

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Function Signature:

def sumDependentDays(n: int) -> int:
    pass

Input:

• n (integer): The given item number.

Output:

• integer: The sum of all the dependent days' numbers.

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Example Input/Output:
Input:

n = 10

Output:

18

Explanation:
For n = 10, the dependencies are calculated for each x (from 1 to 10). Summing up the day numbers results in 18.

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