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Queues - Anna Barklund - Recursion tracing #38

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Queues - Anna Barklund - Recursion tracing #38

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52 changes: 26 additions & 26 deletions README.md
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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: A method that calls itself.
- Recursive Case: The smaller problem that calls itself till the base case is hit.
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I would remove "till the base case is hit" only because you don't technically have to hit a base case.

- Base Case: The easiest case.
- Activation Chain/Stack: The process when the method calls itself. (All the bubbles. The last bubble, before going up the chain again is the base case.)
- Activation Record/Call: Each call (One of the bubbles)
- Infinite Recursion/Stack Overflow/Stack too deep: When the base case is never reached.
- Tail Recursion:
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We didn't actually cover tail recursion in class. We may in the future, but it's not necessary to know this moment.


## 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)? infinit recursion (will never hit the base case)

### 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)? 5
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double check this one

- 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")?_