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During the power crisis in New Zealand this winter (caused by a shortage of rain and hence low levels in the hydro dams), a contingency scheme was developed to turn off the power to areas of the country in a systematic, totally fair, manner. The country was divided up into `N` regions (Auckland was region number 1, and Wellington number 13). A number, `m`, would be picked "at random", and the power would first be turned off in region 1 (clearly the fairest starting point) and then in every `m`'th region after that, wrapping around to 1 after `N`, and ignoring regions already turned off. For example, if `N=17` and `m=5`, power would be turned off to the regions in the order: 1, 6, 11, 16, 5, 12, 2, 9, 17, 10, 4, 15, 14, 3, 8, 13, 7.

The problem is that it is clearly fairest to turn off Wellington last (after all, that is where the Electricity headquarters are), so for a given `N`, the "random" number `m` needs to be carefully chosen so that region 13 is the last region selected.

Write a program that will read in the number of regions and then determine the smallest number `m` that will ensure that Wellington (region 13) can function while the rest of the country is blacked out.

Input will consist of the number of regions (`N`) with `13\ ≤\ N\ <\ 100`.

Output will consist of the number `m` according to the above scheme.

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