Wooden Floor

Algebra Level 4

$\large \sum_{m=1}^n \left \lfloor \log_2 m \right \rfloor = 2002 \qquad , \qquad n = \ ?$

2 solutions

Devendra Kumar Singh
Sep 13, 2015

Bill Bell
Aug 13, 2015

from math import log, floor

m=0
total=0
while True:
    m+=1
    total+=floor(log(m,2))
    if total>=2002:
        print m, total
        break