[10 points] Write a program which empirically proves Gauss's method for summing the first n integers. Gauss discovered that 1 + 2 + 3 + ... + n = n(n+1)/2. Your program should compute this sum, both by adding and by using the formula for the n between 1 and 20. You should provide a statement which checks the results and prints Good if they are both the same and Wrong if they are not. Your output should be of the form
N Sum Formula Check
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1 1 1 Good
2 3 3 Good
....
20 210 210 Good