write two programs to implement the two formulations of the problem of motif finding.

summarize your work with the source code and the testing results for comparing the two formulations.

Running Format: C> a.out sequence.fasta output.txt

The format of the input fasta files: The following is an example to demonstrate the input format. >SEQUENCE_1 atgaccgggatactgatagaagaaaggttgggggcgtacacattagataaacgtatgaagtacgttagactcggcgccgccgacccctattttttgagc agatttagtgacctggaaaaaaaatttgagtacaaaacttttccgaatacaataaaacggcgggatgagtatccctgggatgacttaaaataatggagt ggtgctctcccgatttttgaatatgtaggatcattcgccagggtccga >SEQUENCE_2 gctgagaattggatgcaaaaaaagggattgtccacgcaatcgcgaaccaacgcggacccaaaggcaagaccgataaaggagatcccttttgcggtaat gtgccgggaggctggttacgtagggaagccctaacggacttaatataataaaggaagggcttataggtcaatcatgttcttgtgaatggatttaacaata agggctgggaccgcttggcgcacccaaattcagtgtgggcgagcgcaa >SEQUENCE_3 cggttttggcccttgttagaggcccccgtataaacaaggagggccaattatgagagagctaatctatcgcgtgcgtgttcataacttgagttaaaaaata gggagccctggggcacatacaagaggagtcttccttatcagttaatgctgtatgacactatgtattggcccattggctaaaagcccaacttgacaaatgg aagatagaatccttgcatactaaaaaggagcggaccgaaagggaag