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Logic & Puzzles

If a lossy data compression algorithm uses a mapping with a contraction factor of 0.5 on pixel color values, which consequence follows for successive iterations?

A)Values oscillate without settling
B)Values converge to a fixed point
C)Values diverge uncontrollably
D)Values become undefined rapidly

💡 Explanation

Successive iterations of the contraction mapping will converge to a fixed point because each iteration reduces the distance to the fixed point by a factor of 0.5. Therefore, the values will stabilize; rather than oscillate or diverge, which would occur with different mapping properties.

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