This Challenge is inspired by the Packing Santa's Sleigh contest at kaggle that runs until January 26, 2014. Will Elfonso win another kaggle contest? The kaggle contest is a 3-D fitting/optimization.
This Challenge is to place Santa Cards in a minimum area given a board width(columns) and a set of N cards of (rows,columns). Cards can not be rotated.
Input: Card_Array, W ; Card_Array(N,2) and W=width of M array
Output: M ; An X by W array of values 0:N, 0 is unused space
Scoring: Number of rows required to place all cards
[2 2;3 3;1 2], 5
1 1 2 2 2 1 1 2 2 2 3 3 2 2 2
Scores a 3, number of rows
Contest Results: Alfonso put in a tremendous 40,000 point reduction in the last days and appeared unsurpassable. However, a pair of Polish Professors in Mathematics and Computer Science, Marek and Cygan, submitted an astounding further 34,000 point improvement for the win. Alfonso won the Matlab category prize.