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Using Cython can dramatically improve performance by converting the code to C and compiling it. For example,

%%cython
import random
def run(end): 
    uni = {}

    for count in range(0, end):
        i = random.randint(1, 303325737249669131)  
        if i in uni:
            uni[i] += 1
        else:
            uni[i] = 1
    return uni