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In this task you need to create a checker for integer equations with error correction.
The integer equation is given in the form:
<numberI>" denotes any positive integer less than or equal to $10^9$ without leading zeros, and "
<operation>" is one of the signs '
*' or '
/' that represents one of the four basic math operations (note that unary plus and unary minus are not allowed). An expression that satisfies these properties is called well-formatted.
The checker shall read the equations and give the outcome in the next way:
Correct--- a well-formatted mathematically correct equation is given.
Format Error--- the given equation does not match the default format.
Typo: <equation1> instead of <equation2>--- the given equation (
<equation1>) is well-formatted but not mathematically correct and is is enough to replace up to two characters in it to obtain a mathematically correct and well-formatted equation (
Math Error--- the given equation is well-formatted, mathematically incorrect, and it is impossible to correct two or less characters and obtain a well-formatted and mathematically correct equation.
Note that characters can be only replaced, they cannot be inserted or deleted.
The first line of the input contains a non-empty string of up to 30 characters that represents the equation to be checked. This word consists only of decimal digits ('
0' - '
9'), arithmetic operators ('
*', and '
/') and equality signs ('
Print the result of evaluation. Refer to the samples for clarity.
Typo: 7/2=3 instead of 6/2=3
Typo: 239*2=237 instead of 239-2=237