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7-Modern-Languages-in-7-Wee…/week 1/day 4/exo5.md
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**Task:**
* Explain what happens if the number of users doubles
* Write the runtime formula using:
* `n` = number of users
* `m` = average username length
**Expected reasoning:**
* Doubling the list doubles the execution time
* Linear runtime: `T(n, m) = n × m`
**Answer**
if the number of user double in size
$$
T(2n, m) = n /times 2 /times m
$$
so the number of execution will multiply by 2
the big O notation will be O(n⋅m)