Widespread

AtCoder

IDarc075_b

Time2000ms

Memory256MB

Difficulty—

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. Fortunately, you are a skilled magician, capable of causing explosions that damage monsters. In one explosion, you can damage monsters as follows: * 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. At least how many explosions do you need to cause in order to vanish all the monsters? ## Constraints * All input values are integers. * $1 ≤ N ≤ 10^5$ * $1 ≤ B < A ≤ 10^9$ * $1 ≤ h_i ≤ 10^9$ ## Input Input is given from Standard Input in the following format: $N$ $A$ $B$ $h_1$ $h_2$ $:$ $h_N$ [samples]

Samples

Input #1

Output #1

2

You can vanish all the monsters in two explosion, as follows:

*   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.
*   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.

Input #2

2 10 4
20
20

Output #2

4

You need to cause two explosions centered at each monster, for a total of four.

Input #3

Output #3

800000000

API Response (JSON)

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    },
    "platform": "AtCoder",
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    "difficulty": "None",
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    "sync_url": null,
    "sign": "arc075_b"
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      "statement_type": "Markdown",
      "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 monst...",
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      "language": "English"
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Full JSON Raw Segments