Young Tableau | Insert, Search, Extract-Min, Delete, Replace

A M x N Young tableau is an M x N matrix such that the entries of each row are in sorted order from left to right and the entries of each column are in sorted order from top to bottom. Some of the entries of a Young tableau may be infinity, which indicates an …

Print all shortest routes in a rectangular grid

Given a M x N rectangular grid, print all shortest routes in the grid that start at the first cell (0,0) and end at the last cell (N-1,M-1). We can move down or right or diagonally (down-right) but not up or left.

Unbounded Binary Search

Given a monotonically increasing function f(x), find the value of x where f(x) becomes positive for the first time. In other words, find a positive integer x such that f(x-1), f(x-2),… are negative and f(x+1), f(x+2),… are positive.