# [Jelly], 28 [bytes]

    Ɠ⁽¿ÇB31_+2¦4ḍ~ƊR;€"J$ḅ³Fċ:³$

A full program accepting a single integer from STDIN which prints a `1` or `0` to STDOUT.

**[Try it online!][TIO-k8i01vux]** Or see the [test-suite].

### How?

    Ɠ⁽¿ÇB31_+2¦4ḍ~ƊR;€"J$ḅ³Fċ:³$ - Main Link
    Ɠ                            - set the chain's left argument, N, to evaluated STDIN
     ⁽¿Ç                         - base 250 integer = 3765
        B                        - to binary     = [1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1]
         31_                     - 31 minus      = [30,30,30,31,30,31,30,30,31,30,31,30]
                  Ɗ              - last three links as a monad - f(N):
               4ḍ                -   four divides (N)?
                 ~               -   bitwise NOT (0 becomes -1 and 1 becomes -2)
              ¦                  - sparse application...
             2                   - ...to indices: [2]
            +                    - ...action: add
                                   i.e. x=9 or 8: [30,2x,30,31,30,31,30,30,31,30,31,30]
                   R             - range (vectorises) = [[1,2,...30],...]
                        $        - last two links as a monad - f(that):
                       J         -   range of length = [1,2,...,12]
                      "          -   zip with:
                    ;€           -     concatenate each -> [[[1,1],[2,1],...,[30,1]],...]
                         ḅ       - convert from base (vectroises):
                          ³      -   100               -> [[101,201,...,3001],...]
                           F     - flatten
                            ċ    - count occurrences of:
                               $ -   last two links as a monad - f(N):
                             :   -     (N) integer divide:
                              ³  -       100


[Jelly]: https://github.com/DennisMitchell/jelly
[bytes]: https://github.com/DennisMitchell/jelly/wiki/Code-page
[TIO-k8i01vux]: https://tio.run/##ATsAxP9qZWxsef//xpPigb3Cv8OHQjMxXysywqY04biNfsaKUjvigqwiSiThuIXCs0bEizrCsyT//zI5MDIwNw "Jelly – Try It Online"

[test-suite]: https://tio.run/##LZA9ToMxEER7HwOlo9lZ/@1CR0FByQWoaFAuQIMEAiEFUXEDCiq6NKFAkQzKPb5c5MPOUNjPT7J2NXNzvVzezvPubX//3bY/z2cRV8faPtK0eb3brS5P9w@fRxeLafPU1ue/LydtvZjb@/T1uEDbzhkIpR91UREiERYiRLodkAdAA01pSou0SMu0TKu0SjOaHQzcAG4AZ4IzwZngTCRa6gYpPkTNQha491t9vKPXUCR5CX2bj59SPQZkMdcAA8xDj@reQ2eI99DG7AMglIhEIjJRiEoYy/pvUIlIZKIQdYRmBklsotAKzWnOtOy6I/8B "Jelly – Try It Online"