3066. Minimum Operations to Exceed Threshold Value II #1309
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Topics: You are given a 0-indexed integer array In one operation, you will:
Note that you can only apply the described operation if Return the minimum number of operations needed so that all elements of the array are greater than or equal to Example 1:
Example 2:
Constraints:
Hint:
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We need to determine the minimum number of operations required to ensure all elements in a given array are greater than or equal to a specified threshold value Approach
Let's implement this solution in PHP: 3066. Minimum Operations to Exceed Threshold Value II <?php
/**
* @param Integer[] $nums
* @param Integer $k
* @return Integer
*/
function minOperations($nums, $k) {
$heap = new SplMinHeap();
foreach ($nums as $num) {
$heap->insert($num);
}
$count = 0;
while ($heap->count() >= 2) {
if ($heap->top() >= $k) {
break;
}
$x = $heap->extract();
$y = $heap->extract();
$new_val = 2 * $x + $y;
$heap->insert($new_val);
$count++;
}
return $count;
}
// Example Test Cases
$nums1 = [2, 11, 10, 1, 3];
$k1 = 10;
echo minOperations($nums1, $k1) . "\n"; // Output: 2
$nums2 = [1, 1, 2, 4, 9];
$k2 = 20;
echo minOperations($nums2, $k2) . "\n"; // Output: 4
?> Explanation:
This approach ensures that we minimize the number of operations by always combining the smallest elements first, which helps in quickly increasing the values to meet the threshold. The use of a min-heap allows efficient retrieval and insertion operations, making the solution optimal for large input sizes. |
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We need to determine the minimum number of operations required to ensure all elements in a given array are greater than or equal to a specified threshold value
k
. Each operation involves combining the two smallest elements in the array into a new element using a specific formula and repeating this process until all elements meet the threshold.Approach
new_val = 2 * x + y
(wherex
andy