Four Arithmetic Operations

Time limit1sMemory limit128 MB

Summary

Each line gives an expression a op b = c with single-digit spacing, and you print correct or wrong answer depending on whether the arithmetic matches the claimed result.

Level: Easy2 of 10
Topics: Math, Implementation, String, Brute force
Solved: No attempts yet

Problem

The four arithmetic operations are addition, subtraction, multiplication, and division, written in a program as +, -, *, and /. For example, 3 * 2 = 6 is a correct equation.

You are given expressions together with the answer claimed for each one. A claimed answer that equals the computed result is correct and any other claimed answer is wrong, so 3 * 2 = 6 is correct and 3 * 2 = 7 is wrong. Write a program that grades every expression it reads.

Input

Input comes from standard input. The first line holds a natural number $T$ , the number of test cases. Each of the next $T$ lines holds one expression.

An expression has the form a op b = c, and the numbers and the symbols are separated by single spaces. op is one of +, -, *, /, and exactly one operator appears in an expression. A division always comes out even. Every operand, every computed result, and every claimed answer fits in a signed 64-bit integer. A computed result can be larger than a 32-bit integer holds.

Output

Write to standard output. Print one verdict per line, in input order. Print correct when the expression is right and wrong answer when it is not.

Examples2

Example 1

Input

4
3 * 2 = 6
11 + 11 = 11
7 - 9 = -2
3 * 0 = 0

Expected output

correct
wrong answer
correct
correct

Example 2
Input
```
1
10 / 5 = 2
```
Expected output
```
correct
```