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Answer on Combinatorics | Number Theory Question for Quamrul

Question #36924
Consider the sequence 1, 2, 3, … k. You have to put a ‘+’ or ‘–’ sign between these
numbers so that the sum becomes zero (e.g. if k is 4, you can do it like 1 – 2 – 3 + 4 = 0).
For how many values of k between 2001 and 2100 (both inclusive) this can be done?
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