Based on information from
this site, I have calculated the optimum re-distribution of Minnesota's population among its 8 districts. (Numbers rounded to nearest multiple of 5.)
1st District gains 18205 from the 2nd.
2nd District loses 18205 to the 1st, 27140 to the 3rd, and 24180 to the 4th.
3rd District loses 46510 to the 5th, and gains 27140 from the 2nd, and 32180 from the 6th.
4th District gains 24180 from the 2nd, and 24180 from the 6th.
5th District gains 46510 from the 3rd.
6th District loses 32180 to the 3rd, 24180 to the 4th, 37480 to the 7th, and 2650 to the 8th.
7th District gains 37480 from the 6th.
8th District gains 2650 from the 6th.