Binary Lifting and Lowest Common Ancestor

Introduction Given an integer array of size n. There are m queries, each query consists of two integers x and y, asking for the maximum value in the range [x, y] of the array. Approach A straightforward method would be to precompute f[i][j] representing the maximum value from index i to j. However, this approach is inefficient. Instead, we can ...

Posted on Fri, 03 Jul 2026 16:49:36 +0000 by Gighalen

Essential Techniques for Competitive Programming: Bit Manipulation, Discretization, and DP Fundamentals

Core Problem-Solving Strategies Bitwise Operations Bitwise operators provide efficient alternatives to arithmetic operations: Operator Description Behavior & AND Result is 1 only if both bits are 1 | OR Result is 0 only if both bits are 0 ^ XOR Result is 1 when bits differ ~ NOT Flips all bits << Left Shift Shifts bits ...

Posted on Wed, 20 May 2026 20:06:51 +0000 by Nuser

Finding the Leftmost Meeting Point in a Sequence of Buildings

This problem asks us to identify the earliest possible building index where two individuals, starting from distinct locations, can rendezvous. We are provided with an array representing building heights, let's call it buildingElevations, and a series of queries. Each query specifies two initial building indices, startA and startB. The rule for ...

Posted on Mon, 11 May 2026 11:46:07 +0000 by Tryfan