java.lang.Object
g2501_2600.s2584_split_the_array_to_make_coprime_products.Solution

public class Solution extends Object
2584 - Split the Array to Make Coprime Products.<p>Hard</p> <p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> of length <code>n</code>.</p> <p>A <strong>split</strong> at an index <code>i</code> where <code>0 <= i <= n - 2</code> is called <strong>valid</strong> if the product of the first <code>i + 1</code> elements and the product of the remaining elements are coprime.</p> <ul> <li>For example, if <code>nums = [2, 3, 3]</code>, then a split at the index <code>i = 0</code> is valid because <code>2</code> and <code>9</code> are coprime, while a split at the index <code>i = 1</code> is not valid because <code>6</code> and <code>3</code> are not coprime. A split at the index <code>i = 2</code> is not valid because <code>i == n - 1</code>.</li> </ul> <p>Return <em>the smallest index</em> <code>i</code> <em>at which the array can be split validly or</em> <code>-1</code> <em>if there is no such split</em>.</p> <p>Two values <code>val1</code> and <code>val2</code> are coprime if <code>gcd(val1, val2) == 1</code> where <code>gcd(val1, val2)</code> is the greatest common divisor of <code>val1</code> and <code>val2</code>.</p> <p><strong>Example 1:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2022/12/14/second.PNG" alt="" /></p> <p><strong>Input:</strong> nums = [4,7,8,15,3,5]</p> <p><strong>Output:</strong> 2</p> <p><strong>Explanation:</strong> The table above shows the values of the product of the first i + 1 elements, the remaining elements, and their gcd at each index i. The only valid split is at index 2.</p> <p><strong>Example 2:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2022/12/14/capture.PNG" alt="" /></p> <p><strong>Input:</strong> nums = [4,7,15,8,3,5]</p> <p><strong>Output:</strong> -1</p> <p><strong>Explanation:</strong> The table above shows the values of the product of the first i + 1 elements, the remaining elements, and their gcd at each index i. There is no valid split.</p> <p><strong>Constraints:</strong></p> <ul> <li><code>n == nums.length</code></li> <li><code>1 <= n <= 10<sup>4</sup></code></li> <li><code>1 <= nums[i] <= 10<sup>6</sup></code></li> </ul>
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • findValidSplit

      public int findValidSplit(int[] nums)