The word break problem is a classic problem in computer science that involves breaking a given string into words using a dictionary. Given a string s
and a dictionary of words, the goal of the word break problem is to determine whether s
can be segmented into a space-separated sequence of one or more dictionary words.
For example, given the string “Kotlincode” and the dictionary [“Kotlin”, “code”], we can segment the string into “Kotlin code”, which consists of two words in the dictionary. However, if we are given the string “applepenapple” and the dictionary [“apple”, “pen”], we cannot segment the string into words in the dictionary.
Solving the word break problem can be useful in a variety of applications, such as natural language processing, text indexing, and text completion. It can be solved using dynamic programming or recursion with memoization.
here’s an example Kotlin code that uses dynamic programming to solve the word break problem:
fun wordBreak(s: String, wordDict: List<String>): Boolean {
val n = s.length
val dp = BooleanArray(n + 1) { false }
dp[0] = true // empty string is always valid
for (i in 1..n) {
for (j in 0 until i) {
if (dp[j] && wordDict.contains(s.substring(j, i))) {
dp[i] = true
break
}
}
}
return dp[n]
}
fun main() {
val s = "kotlincode"
val dict = listOf("kotlin", "code")
val canSegment = wordBreak(s, dict)
if (canSegment) {
println("The string \"$s\" can be segmented into words in the dictionary.")
} else {
println("The string \"$s\" cannot be segmented into words in the dictionary.")
}
}
The wordBreak
function takes a string s
and a list of words wordDict
as input, and returns a boolean value indicating whether s
can be segmented into words in wordDict
. The function uses a dynamic programming approach to solve the problem.
The function first initializes an array dp
of Boolean values with length n + 1
, where n
is the length of the input string s
. The value dp[i]
represents whether the substring s[0..i-1]
can be segmented into words in wordDict
.
The function then iterates over each index i
in the input string, and for each index, it iterates over each index j
less than i
. For each pair (i, j)
, the function checks if dp[j]
is true
(indicating that the substring s[0..j-1]
can be segmented into words in wordDict
), and if the substring s[j..i-1]
is in wordDict
. If both conditions are true, the function sets dp[i]
to true
and breaks out of the inner loop.
After the loops complete, the function returns the value dp[n]
, which indicates whether the entire input string s
can be segmented into words in wordDict
.
In this example, we use the string “kotlincode” and a dictionary that contains the words “kotlin” and “code”. The wordBreak
function is used to check whether the string can be segmented into words in the dictionary. The result is printed to the console depending on whether the string can be segmented or not.
Output: The string “kotlincode” can be segmented into words in the dictionary.