Gel electrophoresis is an analysis method implemented in all disciplines of life sciences. The results of gel electrophoresis indicate the relative sizes of fragments, which is useful for restriction mapping and analyzing PCR fragments.

1. We have an arbitrary DNA sequence :

ctctggtgttcctttctctgtttttccgagggctgcgagcaaacgactagcctttttcgcgattatacgttctgaactttccctagcctggttttgaacacgcatgatttcctgttgggattttgctttttctagttttaatcctgcctctagtattgctaggttttcaagtaatagcgc gcgttgtgaaggaagcgtcctgggatcgtcgagtagtttctggacatccgcaatgtctttttgaaccgaacttaccgccgcatctctcttttgctctagtcttgcaacctctgcgctcgcttctttgttgattttggagagaccgccaaactcattcgtttcactcagtttgagctgagcaagagttaccgctgacttcttggtcgtggaaggatcgccttcagtaagcaccacttcgggtaatgatccatcagtatcagatttacctgtgggtcctgctccaagtttgtcggcgtcgaatttgtcgtcgtctgctttcaccgcgatgagtgctttgattctgtcccggatctctttgttggcaacattcgtttcggttaggccgtcggagcttattgggtctgagcttgagctaggtattgctaagaggagcttctctagctctgccttggtgatgtcatctcgttgtagttctcttctcaaagctgctgccgtgaggggaacgttccttccgttttgattctttatgacgccaagatcggcgttgtcaggtatgttctcaacagcaagtatggctagttgctgtcgttgctgtacttgggcacgggaggtggtgtcgcttgcttgggctagcgctctttgtgactctgcggttcgttctagcttgagtagatcttcctcccttttgatttgatcttctcttgcctggccaagcttccgctctagttcgagtatggagttccggcgtctgtctcgtatgcgttctagtcttgctacatcctcagcgcgtttttgcttgcagccggatagaatgcagaagtcatccgcccggtcatcaatctgtcgttgtagttcgtttatttggtcttgagcggctctaatctcacgctggctttctgcctcttctttgttgaagttttctgttgcttttttgagagcttctgtagccttggcgacatcgattacgggtgcaggtttgcttggcgcgggagcaggcctaagcgctagctctgcttgtttttctttgtctatattttgttggatggtttcgagggtgttgattttctgaacgatgatggactgtgctcttccagcgtcagagtcaaagcctatcttgtctagggctcgtcttgctgcgtcgaagtcgtttcgtagtagtgcgtctgctatcaatttctgttgcacaggattaagaccgttaccgcggacgaggacgttttcgttgatggattgtctgcttacggttgcgcgatcttgtagtctggaaagggtttgggcgttctggatggatagagcttgttgctgttgttgttctactgtggcttgggatagctgtcctagacggtcttgcagcaaggccttgtctctgctttggctcctgccaatggctgcttgtgcaccttcgaggtctcctgcttggatcttgccgagtatctgggctctttgggtctcagaaagacttctgtccgtttggatggatcgtaggagtatgagttcttgtctgtccttcttgcgatctgcagcttctaagttttctatggctgtcgtgtcacggaaaccggtaggtgcttgtgcggctaaggcctgtcgttctttgttggcggcatctatttgtacgagcaaactttctgcttcctgtcgattttgtctgtcttcggtgcgtgcgttttggattttttctcccagggcaccgaatcgtttttcactcaggtcagagcgtaccaggttgttgtttgtctcaaagaatcctccttcttcttccaggttctggaaggctttcttctggaggagttgtgatatgcttgacccgtctactttggccacggatagacgaccgttggatctgtgggaacgcgtaagatcgctttttctccttgtatttctacttcaaagaactcaaaccctttctggtccactgcgactcgacgatttacctgtatgcggtttgctgagcctaagggaatctgatgatcaaagaagccggtgttgtccacaccggttagttcagtctgggcgctcgttcttgccctaacgtcacttgcctgatccttcaagctagcaatgttagcgtcaacacctgctagttgtgtctctacggatggaatgacgggagtggatgttgtacttgcgcgactttgtgctgtagactcaataagatccttttgatcctggataaactcgtccactagtgaaggattcacaccacgtcgtttggcatcctgtgccaaccgatccagttgtctgttggcgtccgctccctgcccagaaataaggatgttggtagctgcattcacaaactgttcttcctcagcactaagcgagggaagtcccactgcagacggggtttgtgccgacgctgaagatgtcctatctcctgttccagaaagaccttctggagggggtttgatttctgttcctggtggtggcccggcagcgatctgtcgtgtgagctcattcagctgttgtagtttttgtgcctttgcggttgttagctccttaatgagtctttcttcgtctgtctctccatctccgatgatgtcatcaaagaagttacgtattctcgcaccggcttctgcctgtgttcgcttggtttgtgcaatatcttcgtccaattttgctatctgatctcggagttctgcctgggcagctaactttttcgcgtcaaccggtttctgctcgcgtccaccagtcgtctcggcctcaaaggcggcgtctgatcgcgcgcctgagacagctacacggggtgtctcagctacgggtggcagttccaacacgttggggtcgggcattttgtctagtttgggcacgactgctgagcggccgccggtgagggctaccacg

2. Take 10 random samples from this sequence, between 1003000 bases.

3. Store these samples in an array.

4. Simulate the migration of these DNA segments on the electrophoresis gel, based on their molecular weights - however, their length should be sufficient for this exercise (show a visual representation).

Note: Short DNA fragments meet small friction forces and travel faster through the electrophoresis gel. Long DNA fragments exhibit a high friction force and travel slowly through the electrophoresis gel.

Example of result:

The code can be implemented in python/java/c++