Hi, I need help to solve Machine Learning problem related to finding number of cluster using trial and error:

You may not know how manyclusters in the data set. (1) Please findasuitable number of clusters by using trial and error. (2) Afterdeciding the number of clusters in thedata set, please calculate and show the coordinate of everycluster center.

And here is the content of "training_data2.txt":

26.637483,40.577608,47.894173,35.817900 19.810932,28.335820,16.276506,25.386418 8.324239,8.748208,8.503160,8.449968 6.564072,1.110318,0.308327,-4.320124 42.640199,37.518787,35.188591,39.329898 9.503256,7.576801,9.703138,6.107710 1.279092,4.966386,11.260104,14.749985 38.903573,40.559160,34.432326,30.772720 13.050504,17.564562,17.576576,24.648004 36.620573,45.729606,36.226409,44.342049 3.838246,0.492595,5.066640,-1.327250 36.053213,38.114670,35.961355,42.185250 7.853359,8.820134,8.403008,9.406508 8.767682,8.378471,9.591049,9.351376 19.985097,22.440573,19.461205,27.058597 40.936591,38.928665,34.106667,46.174038 16.451591,15.401592,6.183605,14.624703 48.671574,43.328588,37.242657,36.970077 44.490935,31.237869,27.502694,33.456842 8.579839,8.806142,8.535702,8.925450 1.311580,-1.133240,3.673735,6.573526 -1.163023,0.364172,2.120632,3.403863 38.777353,52.131842,41.646704,40.566656 8.175329,8.642251,8.580138,7.801333 43.027787,37.834984,40.497689,44.354089 18.039312,10.499331,9.414083,17.714733 14.801002,30.081472,24.316321,23.079499 2.179058,1.929263,-1.621472,-2.167593 37.372612,34.122824,30.047263,33.360227 4.622454,1.186254,3.751077,0.748829

2. Given a data set X = {x"},. , x' e R4, in the file named training_data2.txt", please find the cluster centers for this data set using expectation-maximization