Split?

Bowling pins are numbered $1$ through $10$. The following figure is a top view of the arrangement of the pins:  Let us call each part between two dotted lines in the figure a **column**. For example, Pins $1$ and $5$ belong to the same column, and so do Pin $3$ and $9$. When some of the pins are knocked down, a special situation called **split** may occur. A placement of the pins is a split if both of the following conditions are satisfied: * Pin $1$ is knocked down. * There are two different columns that satisfy both of the following conditions: * Each of the columns has one or more standing pins. * There exists a column between these columns such that all pins in the column are knocked down. See also Sample Inputs and Outputs for examples. Now, you are given a placement of the pins as a string $S$ of length $10$. For $i = 1, \dots, 10$, the $i$\-th character of $S$ is `0` if Pin $i$ is knocked down, and is `1` if it is standing. Determine if the placement of the pins represented by $S$ is a split. ## Constraints * $S$ is a string of length $10$ consisting of `0` and `1`. ## Input Input is given from Standard Input in the following format: $S$ [samples]