Optimized Dynamic Programming Solution for Missile Interception Problem

Problem Summary We are given a sequence of n missiles, each defined by two attributes: height h[i] and speed v[i]. A missile can intercept another if its height and speed are both less than or equal to the target's. We are to calculate the probability of each missile being part of a longest non-increasing subsequence (LNDS), assuming we randoml ...

Posted on Tue, 29 Sep 2026 16:05:36 +0000 by scottbarry

Counting Array Inversions Efficiently

Problem Specification Given a sequence of n integers, compute the total number of inversions contained within the array. An inversion is formally defined as a pair of indices (i, j) satisfying i < j and A[i] > A[j]. Constraints & Limits Sequence length: 1 ≤ n ≤ 10<sup>5</sup> Element values: 0 ≤ A[i] ≤ 10<sup>9</ ...

Posted on Sat, 23 May 2026 18:36:57 +0000 by garydt