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If the total sum is odd, then by always adding 2 loaves of bread, the sum will still be odd, since odd + 2 == odd.
In order for every person to have an even number of loaves of bread the total sum should be even, since even + even + ... + even == even, after the N additions of 2 loaves.
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If the total sum is odd, then by always adding 2 loaves of bread, the sum will still be odd, since odd + 2 == odd.
In order for every person to have an even number of loaves of bread the total sum should be even, since even + even + ... + even == even, after the N additions of 2 loaves.
Hope this helps!