Characteristic

A correct bracket expression, denoted as **<CBV>**, is defined by the following rules:

**<CBV> ::= | (<CBV>) | [<CBV>] | {<CBV>} | <CBV><CBV>**

An empty string is also considered a correct bracket expression.

Let's use the notation: $A$ represents any correct bracket expression, while $B$ and $C$ represent any two non-empty correct bracket expressions. The characteristic of a correct bracket expression is determined by a numerical function $F$ applied to the string representing the expression. This function is calculated using the following rules:

$1.$ F("") = 1

$2.$ F("("+A+")") = F(A) + 1

$3.$ F("["+A+"]") = F(A) + 2

$4.$ F("\{"+A+"\}") = F(A) + 3

$5.$ F(B + C) = F(B) \cdot F(C)

Here, the **"+"** sign indicates string concatenation.

For a given string, compute and output the value of the function $F$ if the string is a correct bracket sequence. If it is not, output the message **"The first mistake in position"**, followed by the position number of the first error in the string (positions are numbered starting from $1$). If the string ends with unmatched brackets, the error is considered to be at the position equal to the string's length plus $1$ (as if a bracket is missing, as shown in the fifth example).

The string's length does not exceed $60$ characters and may only contain brackets.