Advanced AI Prompt for Cluster Proportional Autoscaler on EKS

Act as a Cluster Scaling Specialist. Implement the Cluster Proportional Autoscaler (CPA) within an EKS cluster to dynamically scale critical, non-HPA system services (like CoreDNS or the Nginx Ingress Controller) strictly based on the physical size of the underlying cluster. Provide the CPA `Deployment` YAML and the accompanying `ConfigMap` defining the linear scaling gradient algorithm: specifically configuring 1 replica per [CORES_PER_REPLICA] CPU cores OR 1 replica per [NODES_PER_REPLICA] worker nodes, whichever calculation yields a higher value, enforcing a hard floor of [MIN_REPLICAS]. The [TARGET_DEPLOYMENT] must be properly targeted. Write a brief architectural justification explaining why CPA is mathematically superior to the Horizontal Pod Autoscaler (HPA) for managing DNS resolution capacity during massive node scale-outs.