{"raw_statement":[{"iden":"problem statement","content":"You are going out for a walk, when you suddenly encounter $N$ monsters. Each monster has a parameter called _health_, and the health of the $i$\\-th monster is $h_i$ at the moment of encounter. A monster will vanish immediately when its health drops to $0$ or below.\nFortunately, you are a skilled magician, capable of causing explosions that damage monsters. In one explosion, you can damage monsters as follows:\n\n*   Select an alive monster, and cause an explosion centered at that monster. The health of the monster at the center of the explosion will decrease by $A$, and the health of each of the other monsters will decrease by $B$. Here, $A$ and $B$ are predetermined parameters, and $A > B$ holds.\n\nAt least how many explosions do you need to cause in order to vanish all the monsters?"},{"iden":"constraints","content":"*   All input values are integers.\n*   $1 ≤ N ≤ 10^5$\n*   $1 ≤ B < A ≤ 10^9$\n*   $1 ≤ h_i ≤ 10^9$"},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $A$ $B$\n$h_1$\n$h_2$\n$:$\n$h_N$"},{"iden":"sample input 1","content":"4 5 3\n8\n7\n4\n2"},{"iden":"sample output 1","content":"2\n\nYou can vanish all the monsters in two explosion, as follows:\n\n*   First, cause an explosion centered at the monster with $8$ health. The healths of the four monsters become $3$, $4$, $1$ and $-1$, respectively, and the last monster vanishes.\n*   Second, cause an explosion centered at the monster with $4$ health remaining. The healths of the three remaining monsters become $0$, $-1$ and $-2$, respectively, and all the monsters are now vanished."},{"iden":"sample input 2","content":"2 10 4\n20\n20"},{"iden":"sample output 2","content":"4\n\nYou need to cause two explosions centered at each monster, for a total of four."},{"iden":"sample input 3","content":"5 2 1\n900000000\n900000000\n1000000000\n1000000000\n1000000000"},{"iden":"sample output 3","content":"800000000"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}