P2933 [USACO09JAN] The Baric Bovine G

Description

Following up on a journal article about increasing milk production, Bessie has become the Baric Bovine by studying atmospheric pressure in order to curry favor with Farmer John. She takes N (1

Input Format

\* Line 1: Two space-separated integers: N and E \* Lines 2..N+1: Line i+1 contains a single integer: M\_i

Output Format

\* Line 1: Two space-separated integers: the size of the smallest subset of measurements that produces an error of at most E and the least possible error for the subset of that size.

Explanation/Hint

Bessie takes four measurements; the maximum error is 20. The measurements are, in sequence: 10, 3, 20, and 40. Choosing the second and fourth measurements is the best option, giving an error of 17. The first term's error is 2\*|10-3| = 14; the third term's error is |2\*20 - (3+40)| = 3.