Table of Contents

Prelude to Pairsumonious Numbers

First, start by reading the problem statement for Pairsumonious Numbers. The input format is the same.

Input

Like Pairsumonious Numbers, the input is a sequence of test cases, one per line. The first number on the line is N, followed by N*(N-1)/2 additional numbers.

Output

Print a line of output for each line of input. The first number on the line is N*(N-1)/2, followed by the N*(N-1)/2 input numbers in sorted order, from lowest to highest.

Sample Input

3 1269 1160 1663
3 1 1 1
5 226 223 225 224 227 229 228 226 225 227
5 216 210 204 212 220 214 222 208 216 210
5 -1 0 -1 -2 1 0 -1 1 0 -1
5 79950 79936 79942 79962 79954 79972 79960 79968 79924 79932

Sample Output

3 1160 1269 1663
3 1 1 1
10 223 224 225 225 226 226 227 227 228 229
10 204 208 210 210 212 214 216 216 220 222
10 -2 -1 -1 -1 -1 0 0 0 1 1
10 79924 79932 79936 79942 79950 79954 79960 79962 79968 79972