CF613B Skills

Lesha plays the recently published new version of the legendary game hacknet. In this version character skill mechanism was introduced. Now, each player character has exactly $ n $ skills. Each skill is represented by a non-negative integer $ a_{i} $ — the current skill level. All skills have the same maximum level $ A $ . Along with the skills, global ranking of all players was added. Players are ranked according to the so-called Force. The Force of a player is the sum of the following values: - The number of skills that a character has perfected (i.e., such that $ a_{i}=A $ ), multiplied by coefficient $ c_{f} $ . - The minimum skill level among all skills ( $ min\ a_{i} $ ), multiplied by coefficient $ c_{m} $ . Now Lesha has $ m $ hacknetian currency units, which he is willing to spend. Each currency unit can increase the current level of any skill by $ 1 $ (if it's not equal to $ A $ yet). Help him spend his money in order to achieve the maximum possible value of the Force.

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In the first test the optimal strategy is to increase the second skill to its maximum, and increase the two others by 1. In the second test one should increase all skills to maximum.