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September 22, 2012 00:43
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Scala Assignment: Recursion
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package recfun | |
import scala.collection.mutable.ListBuffer | |
import common._ | |
/** https://class.coursera.org/progfun-2012-001/assignment/view?assignment_id=4 */ | |
object Main { | |
def main(args: Array[String]) { | |
println("Pascal's Triangle") | |
for (row <- 0 to 10) { | |
for (col <- 0 to row) | |
print(pascal(col, row) + " ") | |
println() | |
} | |
} | |
/** | |
* Exercise 1: Pascal's Triangle | |
*/ | |
def pascal(c: Int, r: Int): Int = { | |
if (c == 0 || c == r) 1 | |
else pascal(c - 1, r - 1) + pascal(c, r - 1) | |
} | |
/** | |
* Exercise 2: Parentheses Balancing | |
*/ | |
def balance(chars: List[Char]): Boolean = { | |
def f(chars: List[Char], numOpens: Int): Boolean = { | |
if (chars.isEmpty) { | |
numOpens == 0 | |
} else { | |
val h = chars.head | |
val n = | |
if (h == '(') numOpens + 1 | |
else if (h == ')') numOpens - 1 | |
else numOpens | |
if (n >= 0) f(chars.tail, n) | |
else false | |
} | |
} | |
f(chars, 0) | |
} | |
/** | |
* Exercise 3: Counting Change | |
* Write a recursive function that counts how many different ways you can make | |
* change for an amount, given a list of coin denominations. For example, | |
* there are 3 ways to give change for 4 if you have coins with denomiation | |
* 1 and 2: 1+1+1+1, 1+1+2, 2+2. | |
*/ | |
def countChange(money: Int, coins: List[Int]): Int = { | |
def f(lastMaxCoin_total_coll: List[(Int, Int)], count: Int): Int = { | |
if (lastMaxCoin_total_coll.isEmpty) { | |
count | |
} else { | |
val b = ListBuffer[(Int, Int)]() | |
var newCount = count | |
for ((lastMaxCoin, total) <- lastMaxCoin_total_coll) { | |
if (total < money) { | |
for (c <- coins) { | |
if (c >= lastMaxCoin) { | |
val e = (c, total + c) | |
b += e | |
} | |
} | |
} else if (total == money) { | |
newCount += 1 | |
} | |
} | |
f(b.toList, newCount) | |
} | |
} | |
val b = coins.map { c => (c, c) } | |
f(b, 0) | |
} | |
} |
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Indeed... the change function, I'm sure works but it uses two if not three, more advanced elements not lectured in the course yet... that's not the point.
maps,
for
and listbuffer