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    [LeetCode 140] Word Break II

    Published Apr 02, 2022 [  DynamicProgramming  ]

    Problem

    Given a string s and a dictionary of strings wordDict, add spaces in s to construct a sentence where each word is a valid dictionary word. Return all such possible sentences in any order.

    Note that the same word in the dictionary may be reused multiple times in the segmentation.

    Example 1:

    Input: s = "catsanddog", wordDict = ["cat","cats","and","sand","dog"]
    Output: ["cats and dog","cat sand dog"]
    

    Example 2:

    Input: s = "pineapplepenapple", wordDict = ["apple","pen","applepen","pine","pineapple"]
    Output: ["pine apple pen apple","pineapple pen apple","pine applepen apple"]
    Explanation: Note that you are allowed to reuse a dictionary word.
    

    Example 3:

    Input: s = "catsandog", wordDict = ["cats","dog","sand","and","cat"]
    Output: []
    

    Constraints:

    • 1 <= s.length <= 20
    • 1 <= wordDict.length <= 1000
    • 1 <= wordDict[i].length <= 10
    • s and wordDict[i] consist of only lowercase English letters.
    • All the strings of wordDict are unique.

    TypeScript

    function wordBreak(s: string, wordDict: string[]): string[] {
        const LEN = s.length;
        const table: string[][][] = new Array(LEN + 1).fill([]).map(x => []);
        table[LEN].push([''])
        
        for(let i = LEN - 1; i >= 0; i--){
            for(const word of wordDict){
                const WORD_LEN = word.length
                if((i + WORD_LEN) <= LEN && s.substring(i, i + WORD_LEN) === word){
                    const temp: string[][] = table[i + WORD_LEN].map(x => [word, ...x]);
                    table[i].push(...temp);
                }
            }
        }
        
        
        return table[0].map(x => x.filter(c => c !== '').join(' '))
    
    };
    

    Reference