You have to parse the CGX file format (see CGX Formatter https://www.codingame.com/training/hard/cgx-formatter for details) to evaluate an expression. The CGX file contains a BLOCK with 2 KEY_VALUE fields: result and optionally vars. The result BLOCK contains the variable whose final value should be calculated and returned as output, while the vars BLOCK contains a list of the intermediate variables. Each variable (a KEY_VALUE) has a value that is an expression. An expression could be: - a constant value PRIMITIVE_TYPE int,

e.g. ('v1'=10)

- if the expression is a PRIMITIVE_TYPE str, then it is a variable name,

e.g. ('v1'='v2')

- a BLOCK with 3 KEY_VALUE num1 , num2 and an operator: +-/*,

e.g. ('num1'=expression;'num2'='v2';'operator'='+')

is the value of the variable v2 plus the value of the expression. The order ('num1';'num2';'operator') is not guaranteed, any arrangements are possible, ex: ('num1';'operator';'num2'), ...

- a fraction BLOCK in the form ('numerator'=expression;'denominator'=expression),

e.g. ('numerator'=1;'denominator'=2) is 1/2.

The computations must be carried out in exact fractional form, in the lowest terms. e.g. 5/9+7/9=4/3.

Input

Line 1: The number N of CGX lines. The N following lines: The CGX content.

Output

The result of the expression in the KEY_VALUE 'result'.

Constraints

1<=N<=30 -2^63<=numerator and denominator <=2^63 The CGX content supplied will always be valid. Each line contains maximum 1000 characters. All the characters are ASCII. A KEY_VALUE 'result' will always be present. The 'result' is always a number (integer or fraction). The 'vars' BLOCK could be present if necessary. There are no circular references.