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 | 1 | +package com.leetcode.maps.slidingwindow;  | 
 | 2 | + | 
 | 3 | +import java.util.HashMap;  | 
 | 4 | +import java.util.Map;  | 
 | 5 | + | 
 | 6 | +import static org.junit.jupiter.api.Assertions.assertEquals;  | 
 | 7 | + | 
 | 8 | +/**  | 
 | 9 | + * Level: Hard  | 
 | 10 | + * Link: https://leetcode.com/problems/longest-substring-with-at-most-k-distinct-characters/  | 
 | 11 | + * Description:  | 
 | 12 | + * Given a string, find the length of the longest substring T that contains at most k distinct characters.  | 
 | 13 | + * <p>  | 
 | 14 | + * Example 1:  | 
 | 15 | + * Input: s = "eceba", k = 2  | 
 | 16 | + * Output: 3  | 
 | 17 | + * Explanation: T is "ece" which its length is 3.  | 
 | 18 | + * <p>  | 
 | 19 | + * Example 2:  | 
 | 20 | + * Input: s = "aa", k = 1  | 
 | 21 | + * Output: 2  | 
 | 22 | + * Explanation: T is "aa" which its length is 2.  | 
 | 23 | + *  | 
 | 24 | + * @author rampatra  | 
 | 25 | + * @since 2019-08-09  | 
 | 26 | + */  | 
 | 27 | +public class LongestSubstringWithKDistinctCharacters {  | 
 | 28 | + | 
 | 29 | +    /**  | 
 | 30 | +     * Time Complexity: O(n)  | 
 | 31 | +     * Space Complexity: O(k), as we keep at most k characters in the hash table  | 
 | 32 | +     *  | 
 | 33 | +     * @param str  | 
 | 34 | +     * @param k  | 
 | 35 | +     * @return  | 
 | 36 | +     */  | 
 | 37 | +    public static int lengthOfLongestSubstringKDistinct(String str, int k) {  | 
 | 38 | +        int length = 0;  | 
 | 39 | +        Map<Character, Integer> letterCountInWindow = new HashMap<>();  | 
 | 40 | + | 
 | 41 | +        int i = 0; // start of window  | 
 | 42 | +        int j = i; // end of window  | 
 | 43 | + | 
 | 44 | +        while (j < str.length()) {  | 
 | 45 | +            char ch = str.charAt(j);  | 
 | 46 | + | 
 | 47 | +            letterCountInWindow.putIfAbsent(ch, 0);  | 
 | 48 | +            letterCountInWindow.put(ch, letterCountInWindow.get(ch) + 1);  | 
 | 49 | + | 
 | 50 | +            // when number of distinct characters in the window exceeds k:  | 
 | 51 | +            // - update length  | 
 | 52 | +            // - remove the first character in the window or reduce its count if the window had more than one of this character  | 
 | 53 | +            // - lastly, move the window forward  | 
 | 54 | +            if (letterCountInWindow.keySet().size() > k) {  | 
 | 55 | +                char firstChar = str.charAt(i);  | 
 | 56 | +                int firstCharCount = letterCountInWindow.get(firstChar);  | 
 | 57 | +                if (firstCharCount > 1) {  | 
 | 58 | +                    letterCountInWindow.put(firstChar, firstCharCount - 1);  | 
 | 59 | +                } else {  | 
 | 60 | +                    letterCountInWindow.remove(firstChar);  | 
 | 61 | +                }  | 
 | 62 | +                length = Math.max(length, j - i);  | 
 | 63 | +                i++;  | 
 | 64 | +            }  | 
 | 65 | +            j++;  | 
 | 66 | +        }  | 
 | 67 | + | 
 | 68 | +        return length == 0 ? j - i : length;  | 
 | 69 | +    }  | 
 | 70 | + | 
 | 71 | +    public static void main(String[] args) {  | 
 | 72 | +        assertEquals(3, lengthOfLongestSubstringKDistinct("eceba", 2));  | 
 | 73 | +        assertEquals(7, lengthOfLongestSubstringKDistinct("eceeeeeba", 2));  | 
 | 74 | +        assertEquals(2, lengthOfLongestSubstringKDistinct("abcdef", 2));  | 
 | 75 | +        assertEquals(1, lengthOfLongestSubstringKDistinct("a", 1));  | 
 | 76 | +        assertEquals(2, lengthOfLongestSubstringKDistinct("aa", 1));  | 
 | 77 | +        assertEquals(3, lengthOfLongestSubstringKDistinct("aaa", 1));  | 
 | 78 | +        assertEquals(0, lengthOfLongestSubstringKDistinct("aa", 0));  | 
 | 79 | +    }  | 
 | 80 | +}  | 
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