In the attached file, you will find the nodes and links of AS1 network, as well as its traffic matrix. Set the link OSPF weights proportional to link lengths and determine the utilizations on these links. Then, try to minimize the maximum link utilization by adjusting the link weights. You need to report the link weights and the resulting utilizations. Please also draw the network with link widths indicating the capacities of the links and link colors (in increasing utilization order: green, yellow, orange, red) indicating the utilizations on them.

\begin{tabular}{|r|c|c|r|r|} \hline Node & Router & City & Longitude & \multicolumn{1}{|l|}{ Latitude } \\ \hline 1 & atlnga1 & Atlanta, GA & 84,3863 & 33,75375 \\ \hline 2 & bstnma1 & Boston, MA & 71,0571 & 42,36115 \\ \hline 3 & chcgil2 & Chicago, IL & 87,6232 & 41,88183 \\ \hline 4 & crtntx1 & Carrollton, TX & 96,8899 & 32,97459 \\ \hline 5 & dnvtco1 & Denver, CO & 104,992 & 39,74204 \\ \hline 6 & iplvin1 & Indianapolis, IN & 86,148 & 39,791 \\ \hline 7 & Isanca2 & Los Angeles, CA & 118,244 & 34,05224 \\ \hline 8 & miasfl1 & Miami, FL & 80,1918 & 25,76168 \\ \hline 9 & nycmny1 & lew York City, N & 73,9352 & 40,73061 \\ \hline 10 & phlapa1 & Philadelphia, PA & 75,1652 & 39,95258 \\ \hline 11 & snjpca1 & San Jose, CA & 121,893 & 37,33548 \\ \hline 12 & sttlwa2 & Seattle, WA & 122,335 & 47,60801 \\ \hline 13 & tamqfl1 & Tampa, FL & 82,4526 & 27,96416 \\ \hline 14 & washdc3 & Washington DC & 77,0364 & 38,8951 \\ \hline \end{tabular} \begin{tabular}{|r|c|c|r|r|} \hline Node & Router & City & Longitude & \multicolumn{1}{|l|}{ Latitude } \\ \hline 1 & atlnga1 & Atlanta, GA & 84,3863 & 33,75375 \\ \hline 2 & bstnma1 & Boston, MA & 71,0571 & 42,36115 \\ \hline 3 & chcgil2 & Chicago, IL & 87,6232 & 41,88183 \\ \hline 4 & crtntx1 & Carrollton, TX & 96,8899 & 32,97459 \\ \hline 5 & dnvtco1 & Denver, CO & 104,992 & 39,74204 \\ \hline 6 & iplvin1 & Indianapolis, IN & 86,148 & 39,791 \\ \hline 7 & Isanca2 & Los Angeles, CA & 118,244 & 34,05224 \\ \hline 8 & miasfl1 & Miami, FL & 80,1918 & 25,76168 \\ \hline 9 & nycmny1 & lew York City, N & 73,9352 & 40,73061 \\ \hline 10 & phlapa1 & Philadelphia, PA & 75,1652 & 39,95258 \\ \hline 11 & snjpca1 & San Jose, CA & 121,893 & 37,33548 \\ \hline 12 & sttlwa2 & Seattle, WA & 122,335 & 47,60801 \\ \hline 13 & tamqfl1 & Tampa, FL & 82,4526 & 27,96416 \\ \hline 14 & washdc3 & Washington DC & 77,0364 & 38,8951 \\ \hline \end{tabular}