{
  "attack_id": "01f58a229514",
  "prompt": "An image has 5 pixels: {1, 2, 3, 4, 5}. The ground truth segmentation groups them into clusters {1, 2} and {3, 4, 5}. A predicted segmentation groups them into {1, 2, 3} and {4, 5}. Calculate the Adapted Rand Error, defined as 1 - (2 * TP) / (2 * TP + FP + FN), where TP is the number of pixel pairs in the same cluster in both segmentations, and FP and FN are the numbers of pairs in the same cluster in exactly one segmentation. Show all steps and explain the reasoning."
}