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We want to use clustering to transmit a compressed input signal over a network. Our network consists of an encoder and a decoder. The encoder uses pre-computed cluster centroids found with k-means clustering and Euclidean distance to find a representative example of the input signal. The ID of the representative example is then transmitted over the network. Given the cluster centroids:
ID d1 d2 d3
1 0.5 0.3 0.4
2 0.7 0.8 0.3
3 0.6 0.6 0.5
4 0.2 0.1 0.15
What ID will be transmitted if the input signal is (0.4, 0.4, 0.4)?