Arrays & Hashing

'pass'

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Given an array of integers sorted in ascending order, return "pass" if and only if you can split it into one or more subsequences such that:

  1. Each subsequence consists of consecutive integers.
  2. Each subsequence has a length of at least

Example 1:

  • Input: [1, 2, 3, 3, 4, 5]
  • Output: "pass"
  • Explanation:
    You can split the array into two consecutive subsequences:
    • [1, 2, 3]
    • [3, 4, 5]

Example 2:

  • Input: [1, 2, 3, 4, 4, 5]
  • Output: "fail"
  • Explanation:
    You cannot split the array into valid consecutive subsequences.
    • [1, 2, 3] is valid.
    • However, [4, 4, 5] is not valid because it has only two unique numbers.
				
					import java.util.HashMap;
import java.util.Map;
public class SplitArrayIntoConsecutiveSubsequences {
    public static boolean isPossible(int[] nums) {
        // Count frequency of each number
        Map<Integer, Integer> freq = new HashMap<>();
        // Count how many subsequences need the next number
        Map<Integer, Integer> appendFreq = new HashMap<>();
        // Fill frequency map
        for (int num : nums) {
            freq.put(num, freq.getOrDefault(num, 0) + 1);
        }
        // Try to build subsequences
        for (int num : nums) {
            if (freq.get(num) == 0) {
                continue; // Already used this number
            }
            // If there's a subsequence that ends with num-1, append num to it
            if (appendFreq.getOrDefault(num - 1, 0) > 0) {
                appendFreq.put(num - 1, appendFreq.get(num - 1) - 1);
                appendFreq.put(num, appendFreq.getOrDefault(num, 0) + 1);
            }
            // Otherwise, try to create a new subsequence num, num+1, num+2
            else if (freq.getOrDefault(num + 1, 0) > 0 && freq.getOrDefault(num + 2, 0) > 0) {
                freq.put(num + 1, freq.get(num + 1) - 1);
                freq.put(num + 2, freq.get(num + 2) - 1);
                appendFreq.put(num + 2, appendFreq.getOrDefault(num + 2, 0) + 1);
            }
            // Neither option is possible, return false
            else {
                return false;
            }
            // Use the current number
            freq.put(num, freq.get(num) - 1);
        }
        return true;
    }
    public static void main(String[] args) {
        // Example 1
        int[] nums1 = {1, 2, 3, 3, 4, 5};
        System.out.println(isPossible(nums1) ? "pass" : "fail");
        // Example 2
        int[] nums2 = {1, 2, 3, 4, 4, 5};
        System.out.println(isPossible(nums2) ? "pass" : "fail");
    }
}
				
			
pass by Mahmut Salman
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