I don't understand what I've been doing. Enough for today

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julien lengrand-lambert
2017-04-19 16:56:02 +02:00
parent dc22256be9
commit b94d3fcf09

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@@ -10,146 +10,153 @@ object Anagrams {
type Sentence = List[Word] type Sentence = List[Word]
/** `Occurrences` is a `List` of pairs of characters and positive integers saying /** `Occurrences` is a `List` of pairs of characters and positive integers saying
* how often the character appears. * how often the character appears.
* This list is sorted alphabetically w.r.t. to the character in each pair. * This list is sorted alphabetically w.r.t. to the character in each pair.
* All characters in the occurrence list are lowercase. * All characters in the occurrence list are lowercase.
* *
* Any list of pairs of lowercase characters and their frequency which is not sorted * Any list of pairs of lowercase characters and their frequency which is not sorted
* is **not** an occurrence list. * is **not** an occurrence list.
* *
* Note: If the frequency of some character is zero, then that character should not be * Note: If the frequency of some character is zero, then that character should not be
* in the list. * in the list.
*/ */
type Occurrences = List[(Char, Int)] type Occurrences = List[(Char, Int)]
/** The dictionary is simply a sequence of words. /** The dictionary is simply a sequence of words.
* It is predefined and obtained as a sequence using the utility method `loadDictionary`. * It is predefined and obtained as a sequence using the utility method `loadDictionary`.
*/ */
val dictionary: List[Word] = loadDictionary val dictionary: List[Word] = loadDictionary
/** Converts the word into its character occurrence list. /** Converts the word into its character occurrence list.
* *
* Note: the uppercase and lowercase version of the character are treated as the * Note: the uppercase and lowercase version of the character are treated as the
* same character, and are represented as a lowercase character in the occurrence list. * same character, and are represented as a lowercase character in the occurrence list.
* *
* Note: you must use `groupBy` to implement this method! * Note: you must use `groupBy` to implement this method!
*/ */
def wordOccurrences(w: Word): Occurrences = w.toLowerCase().groupBy(c => c).map{ case(k, v) => (k, v.length)}.toList.sorted def wordOccurrences(w: Word): Occurrences = w.toLowerCase().groupBy(c => c).map { case (k, v) => (k, v.length) }.toList.sorted
/** Converts a sentence into its character occurrence list. */ /** Converts a sentence into its character occurrence list. */
def sentenceOccurrences(s: Sentence): Occurrences = wordOccurrences(s.reduceLeft((x, y) => x +y )) // def sentenceOccurrences(s: Sentence): Occurrences = wordOccurrences(s.reduceLeft((x, y) => x + y))
def sentenceOccurrences(s: Sentence): Occurrences = wordOccurrences(s.mkString)
/** The `dictionaryByOccurrences` is a `Map` from different occurrences to a sequence of all /** The `dictionaryByOccurrences` is a `Map` from different occurrences to a sequence of all
* the words that have that occurrence count. * the words that have that occurrence count.
* This map serves as an easy way to obtain all the anagrams of a word given its occurrence list. * This map serves as an easy way to obtain all the anagrams of a word given its occurrence list.
* *
* For example, the word "eat" has the following character occurrence list: * For example, the word "eat" has the following character occurrence list:
* *
* `List(('a', 1), ('e', 1), ('t', 1))` * `List(('a', 1), ('e', 1), ('t', 1))`
* *
* Incidentally, so do the words "ate" and "tea". * Incidentally, so do the words "ate" and "tea".
* *
* This means that the `dictionaryByOccurrences` map will contain an entry: * This means that the `dictionaryByOccurrences` map will contain an entry:
* *
* List(('a', 1), ('e', 1), ('t', 1)) -> Seq("ate", "eat", "tea") * List(('a', 1), ('e', 1), ('t', 1)) -> Seq("ate", "eat", "tea")
* *
*/ */
lazy val dictionaryByOccurrences: Map[Occurrences, List[Word]] = dictionary.groupBy(w => wordOccurrences(w)) lazy val dictionaryByOccurrences: Map[Occurrences, List[Word]] = dictionary.groupBy(w => wordOccurrences(w))
/** Returns all the anagrams of a given word. */ /** Returns all the anagrams of a given word. */
def wordAnagrams(word: Word): List[Word] = dictionaryByOccurrences(wordOccurrences(word)) def wordAnagrams(word: Word): List[Word] = dictionaryByOccurrences(wordOccurrences(word))
/** Returns the list of all subsets of the occurrence list. /** Returns the list of all subsets of the occurrence list.
* This includes the occurrence itself, i.e. `List(('k', 1), ('o', 1))` * This includes the occurrence itself, i.e. `List(('k', 1), ('o', 1))`
* is a subset of `List(('k', 1), ('o', 1))`. * is a subset of `List(('k', 1), ('o', 1))`.
* It also include the empty subset `List()`. * It also include the empty subset `List()`.
* *
* Example: the subsets of the occurrence list `List(('a', 2), ('b', 2))` are: * Example: the subsets of the occurrence list `List(('a', 2), ('b', 2))` are:
* *
* List( * List(
* List(), * List(),
* List(('a', 1)), * List(('a', 1)),
* List(('a', 2)), * List(('a', 2)),
* List(('b', 1)), * List(('b', 1)),
* List(('a', 1), ('b', 1)), * List(('a', 1), ('b', 1)),
* List(('a', 2), ('b', 1)), * List(('a', 2), ('b', 1)),
* List(('b', 2)), * List(('b', 2)),
* List(('a', 1), ('b', 2)), * List(('a', 1), ('b', 2)),
* List(('a', 2), ('b', 2)) * List(('a', 2), ('b', 2))
* ) * )
* *
* Note that the order of the occurrence list subsets does not matter -- the subsets * Note that the order of the occurrence list subsets does not matter -- the subsets
* in the example above could have been displayed in some other order. * in the example above could have been displayed in some other order.
*/ */
def combinations(occurrences: Occurrences): List[Occurrences] = { def combinations(occurrences: Occurrences): List[Occurrences] = {
def op(e1: List[(Char, Int)], e2: List[Occurrences] ): List[Occurrences] = { def op(e1: List[(Char, Int)], e2: List[Occurrences]): List[Occurrences] = {
e2 ::: e2 :::
(for{ (for {
i <- e1 i <- e1
j <- e2 j <- e2
} yield (i :: j)) } yield (i :: j))
} }
val subsets = (occurrences.map( x => ( val subsets = (occurrences.map(x => (
for( for (
i <- 1 until (x._2+1) i <- 1 until (x._2 + 1)
) )
yield (x._1,i)).toList)) yield (x._1, i)).toList))
subsets.foldRight(List[Occurrences](Nil))(op) subsets.foldRight(List[Occurrences](Nil))(op)
} }
/** Subtracts occurrence list `y` from occurrence list `x`. /** Subtracts occurrence list `y` from occurrence list `x`.
* *
* The precondition is that the occurrence list `y` is a subset of * The precondition is that the occurrence list `y` is a subset of
* the occurrence list `x` -- any character appearing in `y` must * the occurrence list `x` -- any character appearing in `y` must
* appear in `x`, and its frequency in `y` must be smaller or equal * appear in `x`, and its frequency in `y` must be smaller or equal
* than its frequency in `x`. * than its frequency in `x`.
* *
* Note: the resulting value is an occurrence - meaning it is sorted * Note: the resulting value is an occurrence - meaning it is sorted
* and has no zero-entries. * and has no zero-entries.
*/ */
def subtract(x: Occurrences, y: Occurrences): Occurrences = ??? def subtract(x: Occurrences, y: Occurrences): Occurrences = {
y.toMap.foldLeft(x.toMap) {
(acc, el) => acc.updated(el._1, acc(el._1) - el._2)
}.filter(_._2 > 0).toList
}
/** Returns a list of all anagram sentences of the given sentence. /** Returns a list of all anagram sentences of the given sentence.
* *
* An anagram of a sentence is formed by taking the occurrences of all the characters of * An anagram of a sentence is formed by taking the occurrences of all the characters of
* all the words in the sentence, and producing all possible combinations of words with those characters, * all the words in the sentence, and producing all possible combinations of words with those characters,
* such that the words have to be from the dictionary. * such that the words have to be from the dictionary.
* *
* The number of words in the sentence and its anagrams does not have to correspond. * The number of words in the sentence and its anagrams does not have to correspond.
* For example, the sentence `List("I", "love", "you")` is an anagram of the sentence `List("You", "olive")`. * For example, the sentence `List("I", "love", "you")` is an anagram of the sentence `List("You", "olive")`.
* *
* Also, two sentences with the same words but in a different order are considered two different anagrams. * Also, two sentences with the same words but in a different order are considered two different anagrams.
* For example, sentences `List("You", "olive")` and `List("olive", "you")` are different anagrams of * For example, sentences `List("You", "olive")` and `List("olive", "you")` are different anagrams of
* `List("I", "love", "you")`. * `List("I", "love", "you")`.
* *
* Here is a full example of a sentence `List("Yes", "man")` and its anagrams for our dictionary: * Here is a full example of a sentence `List("Yes", "man")` and its anagrams for our dictionary:
* *
* List( * List(
* List(en, as, my), * List(en, as, my),
* List(en, my, as), * List(en, my, as),
* List(man, yes), * List(man, yes),
* List(men, say), * List(men, say),
* List(as, en, my), * List(as, en, my),
* List(as, my, en), * List(as, my, en),
* List(sane, my), * List(sane, my),
* List(Sean, my), * List(Sean, my),
* List(my, en, as), * List(my, en, as),
* List(my, as, en), * List(my, as, en),
* List(my, sane), * List(my, sane),
* List(my, Sean), * List(my, Sean),
* List(say, men), * List(say, men),
* List(yes, man) * List(yes, man)
* ) * )
* *
* The different sentences do not have to be output in the order shown above - any order is fine as long as * The different sentences do not have to be output in the order shown above - any order is fine as long as
* all the anagrams are there. Every returned word has to exist in the dictionary. * all the anagrams are there. Every returned word has to exist in the dictionary.
* *
* Note: in case that the words of the sentence are in the dictionary, then the sentence is the anagram of itself, * Note: in case that the words of the sentence are in the dictionary, then the sentence is the anagram of itself,
* so it has to be returned in this list. * so it has to be returned in this list.
* *
* Note: There is only one anagram of an empty sentence. * Note: There is only one anagram of an empty sentence.
*/ */
def sentenceAnagrams(sentence: Sentence): List[Sentence] = ??? def sentenceAnagrams(sentence: Sentence): List[Sentence] = {
List(List())
}
} }