Write a program that Generate all the lowest-valued valid integer inputs that exhaustively test all combinations of 4 conditionals. Conditionals such as contains a 7, is a multiple of 7, contains a 3, and is a multiple of 3.

For example: 3 : is a multiple of three and contains 3. then it should not be repeated . stop after one integer. there will be total 16 conditions without overlapping. Something like {TFFF, FTFF, FFTF, FFFT, TTFF, TFTF, TFFT, etc}

Find lowest valued 16 integers for those conditions.