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Normalize Array

Problem Statement

Normalize array data using broadcasting.

Background

Normalization scales data to a standard range. Common methods:

  • Min-max: (x - min) / (max - min) → scales to [0, 1]
  • Z-score: (x - mean) / std → centers around 0

These operations use broadcasting naturally.

Your Task

Write a function normalize(arr) that normalizes a 2D array column-wise.

Output Format

Return a dictionary with:

  • "minmax": Min-max normalized (rounded to 3 decimals)
  • "zscore": Z-score normalized (rounded to 3 decimals)
  • "col_means": Mean of each column before normalization (rounded to 2 decimals)
  • "col_stds": Std of each column before normalization (rounded to 2 decimals)

Example:

Input:
[[1, 2], [3, 4], [5, 6]]
Output:
Min-max scales each column to [0, 1], z-score centers each column
Reasoning:

Column means/stds are computed, then broadcast to normalize

Constraints:

  • Normalize along axis=0 (column-wise)
  • Use ddof=0 for std calculation
  • Round to specified decimal places
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Test Results

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Run code to see test results.