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Cluster Assignment from Points
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Cluster Assignment from Points

MediumPython

Problem

Given an input array of points to cluster: X (shape N x D) and cluster centers C (shape K x D). Return assignments of shape N, linking points to their nearest (L2) cluster.

Asked in the Technical round 2, coding stage. This is the assignment step of k-means, written with tensors. Avoid materializing the full [N, K, D] tensor; ties must choose the lowest center index.

Contract

Implement def assign_clusters(X, C):. X and C are non-empty nested lists of numbers with shapes N x D and K x D; return a list of N integer center indices.

Constraints

  • 1 <= N, K, D <= 1000
  • X has shape N x D and C has shape K x D
  • All coordinates are finite numbers
  • Return the lowest center index when distances are equal

Function Signature

def assign_clusters(X, C):
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