Problem solution · Java

Subarray With Elements Greater Than Varying Threshold

Subarray With Elements Greater Than Varying Threshold: a Java solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Direct simulation
Source
walkccc LeetCode Solutions
Length
35 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For Subarray With Elements Greater Than Varying Threshold, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 35 lines of Java from the credited upstream file 2334.java.
  • The implementation visibly relies on sequence storage, work queue.
  • 3 loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Full codeSubarray With Elements Greater Than Varying Threshold · JavaJava
Use this to learn the idea, then write your own version.
class Solution {  // Similar to 907. Sum of Subarray Minimums  public int validSubarraySize(int[] nums, int threshold) {    final int n = nums.length;    long ans = 0;    // prev[i] := the index k s.t. nums[k] is the previous minimum in nums[0..n)    int[] prev = new int[n];    // next[i] := the index k s.t. nums[k] is the next minimum in nums[i + 1..n)    int[] next = new int[n];    Deque<Integer> stack = new ArrayDeque<>();     Arrays.fill(prev, -1);    Arrays.fill(next, n);     for (int i = 0; i < nums.length; ++i) {      while (!stack.isEmpty() && nums[stack.peek()] > nums[i]) {        final int index = stack.pop();        next[index] = i;      }      if (!stack.isEmpty())        prev[i] = stack.peek();      stack.push(i);    }     for (int i = 0; i < n; ++i) {      // the number of `nums` in subarray containing nums[i] >= nums[i]      final int k = (i - prev[i]) + (next[i] - i) - 1;      if (nums[i] > threshold / (double) k)        return k;    }     return -1;  }} 

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