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Big O exercise #26

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21 changes: 21 additions & 0 deletions big_o_exercise/readme.md
Original file line number Diff line number Diff line change
Expand Up @@ -5,15 +5,25 @@
Simplify the following big O expressions as much as possible:

1. `O(n + 10)`
O(n)
2. `O(100 * n)`
O(n)
3. `O(25)`
O(1)
4. `O(n^2 + n^3)`
O(n^3)
5. `O(n + n + n + n)`
O(n)
6. `O(1000 * log(n) + n)`
O(log(n))
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double check this one - which grows faster, log(n) or n?

7. `O(1000 * n * log(n) + n)`
O(n * log(n))
8. `O(2^n + n^2)`
O(n^2)
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2^n grows faster than n^2, but i wouldn't sweat this one too much since we didn't talk about exponential growth in class.

9. `O(5 + 3 + 1)`
O(1)
10. `O(n + n^(1/2) + n^2 + n * log(n)^10)`
O(n^2)

### Part 2

Expand All @@ -28,6 +38,8 @@ function logUpTo(n) {
console.log(i);
}
}
Time: O(n)
Space: O(1)

// 2.

Expand All @@ -36,6 +48,8 @@ function logAtMost10(n) {
console.log(i);
}
}
Time: O(n)
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double check your time complexity here. What's the largest number of operations that will be performed?

Space: 0(1)

// 3.

Expand All @@ -44,6 +58,8 @@ function logAtLeast10(n) {
console.log(i);
}
}
Time: O(n)
Space: 0(1)

// 4.

Expand All @@ -56,6 +72,8 @@ function onlyElementsAtEvenIndex(array) {
}
return newArray;
}
Time: O(n)
Space: O(n)

// 5.

Expand All @@ -70,4 +88,7 @@ function subtotals(array) {
}
return subtotalArray;
}
Time: 0(n^2)
Space: O(n)

```