1550. Three Consecutive Odds

[mah-shamim]

Topics: Array

Given an integer array arr, return true if there are three consecutive odd numbers in the array. Otherwise, return false.

Example 1:

• Input: arr = [2,6,4,1]
• Output: false
• Explanation: There are no three consecutive odds.

Example 2:

• Input: arr = [1,2,34,3,4,5,7,23,12]
• Output: true
• Explanation: [5,7,23] are three consecutive odds.

Constraints:

• 1 <= arr.length <= 1000
• 1 <= arr[i] <= 1000

Hint:

1. Check every three consecutive numbers in the array for parity.

[mah-shamim]

The problem asks us to determine if an array contains three consecutive odd numbers. If such a triplet exists, return true; otherwise, return false.

Key Points

1. Input: An array of integers (arr) where each element satisfies 1 \leq arr[i] \leq 1000.
2. Output: A boolean indicating the presence of three consecutive odd numbers.
3. Core Operation: Checking for odd numbers and consecutive patterns.
4. Constraints:
   • Array length is at least 1 and at most 1000.

Approach

We need to iterate through the array and check every triplet of consecutive numbers to see if they are all odd. If we find such a triplet, we can immediately return true. If we traverse the entire array without finding one, return false.

Plan

1. Traverse the array from the first to the third last element, as each triplet involves three elements.
2. For every element at index i, check if:
   • arr[i] % 2 ≠ 0 (odd)
   • arr[i+1] % 2 ≠ 0 (odd)
   • arr[i+2] % 2 ≠ 0 (odd)
3. If the condition holds true, return true.
4. If the loop completes without finding any such triplet, return false.

Let's implement this solution in PHP: 1550. Three Consecutive Odds

<?php
/**
     * @param Integer[] $arr
     * @return Boolean
     */
    function threeConsecutiveOdds($arr) {
        // Iterate through the array, checking each triplet
        for ($i = 0; $i < count($arr) - 2; $i++) {
            // Check if the current number and the next two numbers are odd
            if ($arr[$i] % 2 != 0 && $arr[$i + 1] % 2 != 0 && $arr[$i + 2] % 2 != 0) {
                // If all three are odd, return true
                return true;
            }
        }
        // If no such triplet is found, return false
        return false;
    }

// Example usage:
$arr1 = [[15, 96], [36, 2]];
$arr2 = [[1, 3, 5], [4, 1, 1], [1, 5, 3]];
$arr3 = [[2, 5, 1], [3, 4, 7], [8, 1, 2], [6, 2, 4], [3, 8, 8]];

echo threeConsecutiveOdds($arr1) . "\n"; // Output: 17
echo threeConsecutiveOdds($arr2) . "\n"; // Output: 4
echo threeConsecutiveOdds($arr3) . "\n"; // Output: 10
?>

Explanation:

• Step 1: Start iterating through the array up to index n-3, where n is the array length.
• Step 2: For each index i, check if the element at i, i+1, and i+2 are odd numbers.
• Step 3: If found, return true immediately.
• Step 4: If the loop finishes without finding a triplet, return false.

Example Walkthrough

Example 1:

Input: arr = [2, 6, 4, 1]

• i = 0: Triplet is [2, 6, 4], none are odd.
• i = 1: Triplet is [6, 4, 1], none are odd.

Output: false
Explanation: There are no three consecutive odd numbers.

Example 2:

Input: arr = [1, 2, 34, 3, 4, 5, 7, 23, 12]

• i = 0: Triplet is [1, 2, 34], not all are odd.
• i = 4: Triplet is [4, 5, 7], not all are odd.
• i = 5: Triplet is [5, 7, 23], all are odd.

Output: true
Explanation: The triplet [5, 7, 23] satisfies the condition.

Time Complexity

• Loop: O(n), where n is the size of the array, as we iterate through the array once.
• Check for Odd: O(1) per triplet.

Overall Time Complexity: O(n)
Space Complexity: O(1) (No additional space used).

Output for Example

1. Example 1 Input: arr = [2, 6, 4, 1]
   Output: false

2. Example 2 Input: arr = [1, 2, 34, 3, 4, 5, 7, 23, 12]
   Output: true

The solution efficiently identifies three consecutive odd numbers by iterating through the array once. It utilizes a straightforward condition to determine odd parity and exits early when a valid triplet is found, minimizing unnecessary checks. The approach is optimal for the problem's constraints.

[basharul-siddike]

Thanks for solving the problem of "Three Consecutive Odds"

[mah-shamim]

Thanks