CF967B.Watering System

Arkady wants to water his only flower. Unfortunately, he has a very poor watering system that was designed for $n$ flowers and so it looks like a pipe with $n$ holes. Arkady can only use the water that flows from the first hole.

Arkady can block some of the holes, and then pour $A$ liters of water into the pipe. After that, the water will flow out from the non-blocked holes proportionally to their sizes $s_1, s_2, \ldots, s_n$. In other words, if the sum of sizes of non-blocked holes is $S$, and the $i$-th hole is not blocked, $\frac{s_i \cdot A}{S}$ liters of water will flow out of it.

What is the minimum number of holes Arkady should block to make at least $B$ liters of water flow out of the first hole?

阿尔卡季想浇灌他唯一的一株花。不幸的是，他只有一个非常简陋的灌溉系统，该系统原本是为 $n$ 株花设计的，因此其结构是一根带有 $n$ 个孔的管道。阿尔卡季只能使用从第一个孔流出的水。

阿尔卡季可以封住其中一些孔，然后向管道中注入 $A$ 升水。随后，水将按各未被封住的孔的尺寸 $s_1, s_2, \ldots, s_n$ 的比例从这些未被封住的孔中流出。换言之，若所有未被封住的孔的尺寸之和为 $S$，且第 $i$ 个孔未被封住，则将有 $\frac{s_i \cdot A}{S}$ 升水从该孔流出。

为了使至少 $B$ 升水从第一个孔流出，阿尔卡季最少需要封住多少个孔？

The first line contains three integers $n$, $A$, $B$ ($1 \le n \le 100\,000$, $1 \le B \le A \le 10^4$) — the number of holes, the volume of water Arkady will pour into the system, and the volume he wants to get out of the first hole.

The second line contains $n$ integers $s_1, s_2, \ldots, s_n$ ($1 \le s_i \le 10^4$) — the sizes of the holes.

第一行包含三个整数 $n$、$A$、$B$（$1 \le n \le 100\,000$，$1 \le B \le A \le 10^4$）—— 分别表示洞的数量、Arkady 注入系统的水量，以及他希望从第一个洞流出的水量。

第二行包含 $n$ 个整数 $s_1, s_2, \ldots, s_n$（$1 \le s_i \le 10^4$）—— 表示各个洞的尺寸。

Print a single integer — the number of holes Arkady should block.

输出一个整数——Arkady 需要封堵的洞的数量。

In the first example Arkady should block at least one hole. After that, $\frac{10 \cdot 2}{6} \approx 3.333$ liters of water will flow out of the first hole, and that suits Arkady.

In the second example even without blocking any hole, $\frac{80 \cdot 3}{10} = 24$ liters will flow out of the first hole, that is not less than $20$.

In the third example Arkady has to block all holes except the first to make all water flow out of the first hole.

在第一个例子中，阿尔卡季至少需要堵住一个洞。此后，将有 $\frac{10 \cdot 2}{6} \approx 3.333$ 升水从第一个洞流出，这满足阿尔卡季的要求。

在第二个例子中，即使不堵住任何洞，也将有 $\frac{80 \cdot 3}{10} = 24$ 升水从第一个洞流出，该值不小于 $20$。

在第三个例子中，阿尔卡季必须堵住除第一个洞外的所有洞，以使全部水流都从第一个洞流出。