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52 changes: 26 additions & 26 deletions README.md
Original file line number Diff line number Diff line change
@@ -1,15 +1,15 @@
# Recursion Problems

## Definitions
Define the following:
Define the following:

- Recursion
- Recursive Case
- Base Case
- Activation Chain/Stack
- Activation Record/Call
- Infinite Recursion/Stack Overflow/Stack too deep
- Tail Recursion
- Recursion - Recursion is when a method is called within itself
- Recursive Case - A Recursive case is a specific operation in the method where the recursion is happing.
- Base Case - A base case is the stopping operation of the method that does not use recursion to produce an answer.
- Activation Chain/Stack - The process of finding the output, recording and reassigning the value for each parameter
- Activation Record/Call - For the lack of a better explanation, a bubble.
- Infinite Recursion/Stack Overflow/Stack too - deep - This is when there is no stopping point and/or no possibility of hitting the base case.
- Tail Recursion - Tail Recursion is when recursion is called in the last operation of the method.

## Tracing through a recursive method

Expand All @@ -24,9 +24,9 @@ def mystery1(n)
end
```

- What is mystery1(5)?
- What is mystery1(10)?
- What is mystery1(0)?
- What is mystery1(5)? _15_
- What is mystery1(10)? _55_
- What is mystery1(0)? _Infinite Recursion / Stack Overflow_

### Trace #2
```
Expand All @@ -39,9 +39,9 @@ def mystery2(n)
end
```

- What is mystery2(123)?
- What is mystery2(9005)?
- What is mystery2(-123)?
- What is mystery2(123)? _6_
- What is mystery2(9005)? _14_
- What is mystery2(-123)? _-123_
- _Added Fun: How could we make `mystery2(-123)` work the way we might expect it to work instead of the way it does?_

### Trace #3
Expand All @@ -60,9 +60,9 @@ def mystery3(n)
end
```

- What is mystery3(1)?
- What is mystery3(13)?
- What is mystery3(-6)?
- What is mystery3(1)? _100_
- What is mystery3(13)? _100_
- What is mystery3(-6)? _200_

### Trace #4
```
Expand All @@ -75,9 +75,9 @@ def mystery4(b,e)
end
```

- What is mystery4(10,2)?
- What is mystery4(4,3)?
- What is mystery4(5,0)?
- What is mystery4(10,2)? _100_
- What is mystery4(4,3)? _64_
- What is mystery4(5,0)? _1_

### Trace #5
```
Expand All @@ -90,9 +90,9 @@ def mystery5(s)
end
```

- What is mystery5("hi")?
- What is mystery5("")?
- What is mystery5("Hi, there!")?
- What is mystery5("hi")? _"**"_
- What is mystery5("")? _""_
- What is mystery5("Hi, there!")? _"*********"_
- _Added Fun: How could we make only alphabetic characters to be changed to stars?_

### Trace #6
Expand All @@ -110,7 +110,7 @@ def mystery6(s)
end
```

- What is mystery6("goodnight moon")?
- What is mystery6("Ada Developers Academy")?
- What is mystery6("Hi, there!")?
- What is mystery6("goodnight moon")? _" moon goodnight"_
- What is mystery6("Ada Developers Academy")? _" Academy Developers Ada"_
- What is mystery6("Hi, there!")? _" there! Hi,"
- _Added Fun: How could we make the reversal happen by letter, instead of by word (i.e. Make it so that mystery6("goodnight moon") returned "noom thgindoog")?_