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Design a container scheduler that bin-packs 500K pods across 10K nodes with <1s scheduling latency and zero dropped workloads during node failures.
## Problem
Design a container scheduler that assigns containerized workloads (pods) to a cluster of machines (nodes). The scheduler must handle resource allocation, placement constraints, and automatic rescheduling when nodes fail -- similar to the core scheduling loop of Kubernetes or Google Borg.
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