Problem F: Math Problem

## Problem F: Math Problem

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 1066  Solved: 270
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## Description

Let $$S(X)$$ be a function with variable $$X$$, it can be represented by the formula as $$S(X)= \sum_{j=1}^X f(j)$$, where $$f(x)$$ consists of one or more functions in function set $$F=\{C, C/x, Csinx, Ccosx, C/sinx, C/cosx, C^x, Cx\}$$ with C is a constant integer ranging from 0 to 109.

## Input

The 1st line of input contains a single integer $$t \ (1 \leq t \leq 10^4)$$, the number of test cases.

There is a string $$s (1 \leq |s| \leq 100)$$ in each line of the rest t lines.

String s indicates the formula of $$f(x)$$. Fraction is presented as $$a/b$$. Cx is presented as C^x. Note that the constant C will not be omitted when C=1. Two adjacent functions in $$f(x)$$ are connected by +.

## Output

For each test case, print "yes"(without quotes) in a line if $$S(X)$$ is convergent, otherwise print "no".

## Sample Input

2
2sinx+0cosx+4x+1/sinx+0
0

## Sample Output

no
yes

## HINT

we say $$S(X)$$ is convergent if $$\lim_{X \rightarrow \infty} S(X)=A$$

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