#P2400. Bridge Bidding

Bridge Bidding

Input

The input consists of a number of cases. The bridge hand for each case is specified on one line, with a single space separating each of the 13 cards in the hand. Each card is given as a two-character string. The first letter is the suit (S, H, D, C) and the second character is the rank (A, K, Q, J, T, 9, 8, 7, 6, 5, 4, 3, 2). The end of input is terminated by end-of-file.

Output

For each case, print the hand number (starting from 1), followed by a colon and a space, and then the suggested bid on a single line (see below for the exact format). Each bid is either "Pass" or a level and a suit ("No Trump", "Spades", "Hearts", "Diamonds", "Clubs") separated by a single space.

SA S2 HK HJ HT H9 H2 D3 CK CQ C7 C4 C3 SK SQ HT H8 H4 CA CQ CT C5 DK DQ DJ D8 SA SK SQ S3 S2 HT D7 D9 CA CK CQ C7 C5
Hand #1: 1 Hearts Hand #2: 1 No Trump Hand #3: 1 Clubs