For the given travel demand from node $1$ to node $5,$ solve the flow and travel time for each link under the user$-$equilibrium $($UE$)$ and system optimal $($SO$)$ conditions, respectively.

Use Excel and you may set the initial path flow to be $500$ vehicles per hour for all paths from node $1$ to node $5.(15$ pt $)$

For this problem, fill out the following table. You may directly copy from your Excel results. No need to show the detailed solution procedure.

$\backslash$table$[[$Link$,$Flow under UE$,\backslash$table$[[$Link Travel time$],[$under UE $($min$)]],$Flow under SO$,\backslash$table$[[$Link Travel time$],[$under SO $($min$)]]],[1,2,2554\mathrm{.}6,6,2553\mathrm{.}6,6],[1,3,2445\mathrm{.}4,7,2446\mathrm{.}4,7],[2,3,0,2,\mathrm{.}0,2],[2,4,1\mathrm{.}551\mathrm{.}3,5\mathrm{.}1,1143\mathrm{.}8,3],[2,5,1\mathrm{.}0003\mathrm{.}3,5,1\mathrm{.}469\mathrm{.}8,5],[3,4,2234\mathrm{.}5,2\mathrm{.}1,1451\mathrm{.}3,2],[3,5,2\mathrm{.}10\mathrm{.}8,4,905\mathrm{.}1,4],[4,5,3785\mathrm{.}8,1\mathrm{.}9,2505\mathrm{.}1,1\mathrm{.}2]]$