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Maximum Consecutive ON Servers

Hard

Question

A company runs a cluster of n servers, and each server is either "ON" or "OFF". To change states, the team maintaining the cluster can use a single special operation: pick a contiguous range of servers and toggle every server in it, so "ON" becomes "OFF" and "OFF" becomes "ON". Because of operational restrictions, the cluster permits no more than k uses of it. ...

Asked at:Amazon

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