Count operands and operators

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Problem

The program reads from standard input an arithmetic expression consisting of non-negative integers, the operators +, -, *, /, %, round parentheses ( and ), and (optionally) spaces.

Print to standard output two non-negative integers separated by a space:

the number of operands in the expression (each maximal run of consecutive digits is one operand);
the number of operators in the expression (each character among +, -, *, /, % is one operator).

Parentheses and spaces are not counted.

Input format

Input input.txt

The program reads from standard input a single line containing the expression (at most 1000 characters long). - Length of expression <= 1000. - The expression may or may not be syntactically valid; the program only counts tokens.

Output format

Output output.txt

The program prints to standard output two non-negative integers separated by a space: the number of operands, then the number of operators.

Example

input

(2+3)*(4-1)

output

4 3

Sample cases (from the problem)

Sample Case 1

Input

(2+3)*(4-1)

Expected output

4 3

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