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Sequence Sum Possibilities
Most positive integers may be written as a sum of a sequence of at least two consecutive positive integers. For instance,
6 = 1 + 2 + 3but 8 cannot be so written.
Write a program which will compute how many different ways an input number may be written as a sum of a sequence of at least two consecutive positive integers.
The first line of input will contain the number of problem instances N on a line by itself, (1 ≤ N ≤ 1000) . This will be followed by N lines, one for each problem instance. Each problem line will have the problem number, a single space and the number to be written as a sequence of consecutive positive integers. The second number will be less than 231 (so will fit in a 32-bit integer).
The output for each problem instance will be a single line containing the problem number, a single space and the number of ways the input number can be written as a sequence of consecutive positive integers.
7 1 6 2 9 3 8 4 1800 5 987654321 6 987654323 7 987654325
1 1 2 2 3 0 4 8 5 17 6 1 7 23
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