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Running Median Over Stream
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Running Median Over Stream

HardPython

Problem

Given a stream of financial transaction amounts, write a program to calculate the running median efficiently.

Implement running_median(amounts), where amounts is an ordered list of integer amounts. Return a list containing the median after each amount is received. For an even number of amounts, return the arithmetic mean of the two middle values. Return an empty list for an empty input.

Constraints

  • 0 <= amounts.length <= 5000
  • -10^9 <= amounts[i] <= 10^9
  • Amounts are processed in the given order
  • Return one median for every input amount

Function Signature

def running_median(amounts):
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