Given two integers x and target, return the minimum number of operators required to construct a valid mathematical expression that evaluates to target.

The expression must satisfy the following conditions:

• The only operand permitted is x.

• The available operators are addition (+), subtraction (-), multiplication (*), and division (/).

• Standard operator precedence applies, meaning multiplication and division are evaluated before addition and subtraction.

• Parentheses are not permitted.

• Division x / x evaluates to $1$.

Constraints:

• $2 \leq$ x $\leq 100$

• $1 \leq$ target $\leq 2 imes 10^8$

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