A calm day. The sea breeze tickles the face and blows through the hair. Serenity and peace — what else is needed for happiness? Unfortunately, there is not much to do at sea on such a wonderful day. By chance, Velvet, Eizen, and Laphicet were left alone and decided to entertain themselves somehow.

Fortunately, shortly before that, the friends managed to obtain N closed chests. Chests come in two types: ordinary chests and katz chests. To open an ordinary chest, one must spend x_i coins, but inside there will definitely be a scroll that restores y_i units of magical energy. To open a katz chest, one must spend x_i units of magical energy, but inside there will definitely be y_i coins. The values x_i, y_i may differ for different pairs of chests. Initially, the team has c_g coins and c_s units of magical energy.

Laphicet is interested in finding out what lies in ordinary chests besides magical scrolls, Eizen, on the contrary, is interested in the contents of katz chests, while Velvet simply likes opening chests. To satisfy everyone’s interests, Velvet decided to open at least 1 ordinary chest and at least 1 katz chest. Your task is to find a suitable sequence of chest openings.

The first line contains 3 integers N, c_g, and c_s (1 ≤ N ≤ 500, 1 ≤ c_g, c_s, ≤ 10⁴).

Each of the next N lines contains 3 integers t_i, x_i, and y_i (t ∈ {1, 2}; 1 ≤ x_i, y_i ≤ 10⁴) — the description of the i-th chest. If t_i = 1, then this chest is ordinary. If t_i = 2, then this is a katz chest.

If it is impossible to open at least one chest of each type, output “Still Bored” without quotes in the only line.

Otherwise, output “Happy Happy Happy” without quotes in the first line, an integer K in the second line — the length of a suitable sequence, and K distinct integers in the third line. If there are several suitable sequences, any of them may be output. A sequence is considered correct if it contains chests of both types and, during the process of opening the chests in the order of the sequence, neither the number of coins nor the amount of magical energy becomes negative.