Swimming Medley Relay Best Team/Order New approach

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YARDBEATLES

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Jul 1, 2019
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So, in swimming, you need to find the fastest relay team based on times they swim in each of the four events. So input is like:

[TABLE="width: 0"]
<tbody>[TR]
[TD="bgcolor: #BDBDBD"]Names[/TD]
[TD="bgcolor: #BDBDBD"]Backstroke[/TD]
[TD="bgcolor: #BDBDBD"]Breaststroke[/TD]
[TD="bgcolor: #BDBDBD"]Butterfly[/TD]
[TD="bgcolor: #BDBDBD"]Freestyle[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Kamlynn[/TD]
[TD="align: right"]19.63[/TD]
[TD="align: right"]24.59[/TD]
[TD="align: right"]19.26[/TD]
[TD="align: right"]17.02[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Daisy[/TD]
[TD="align: right"]29.54[/TD]
[TD="align: right"]22.97[/TD]
[TD="align: right"]23.62[/TD]
[TD="align: right"]19.17[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Vivian[/TD]
[TD="align: right"]30.43[/TD]
[TD="align: right"]33.81[/TD]
[TD="align: right"]22.76[/TD]
[TD="align: right"]20.5[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Brynn[/TD]
[TD="align: right"]27.61[/TD]
[TD][/TD]
[TD="align: right"]28.95[/TD]
[TD="align: right"]19.86[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Alexa[/TD]
[TD="align: right"]24.8[/TD]
[TD="align: right"]28.58[/TD]
[TD="align: right"]30.19[/TD]
[TD="align: right"]19.28[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Clara[/TD]
[TD="align: right"]26.12[/TD]
[TD][/TD]
[TD="align: right"]25.91[/TD]
[TD="align: right"]22.06[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Makinzie[/TD]
[TD="align: right"]29.5[/TD]
[TD="align: right"]29.98[/TD]
[TD="align: right"]26.63[/TD]
[TD="align: right"]22.03[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Paola[/TD]
[TD="align: right"]34.64[/TD]
[TD="align: right"]43.32[/TD]
[TD="align: right"]29.14[/TD]
[TD="align: right"]22.14[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Camille[/TD]
[TD="align: right"]32.87[/TD]
[TD="align: right"]39.97[/TD]
[TD="align: right"]31.85[/TD]
[TD="align: right"]25.59[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Christina[/TD]
[TD="align: right"]27.34[/TD]
[TD="align: right"]44.7[/TD]
[TD][/TD]
[TD="align: right"]27.07[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Sarah[/TD]
[TD][/TD]
[TD="align: right"]28.24[/TD]
[TD="align: right"]30.43[/TD]
[TD="align: right"]22.97[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Abigail[/TD]
[TD="align: right"]32.27[/TD]
[TD="align: right"]46.82[/TD]
[TD][/TD]
[TD="align: right"]24.14[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Peton[/TD]
[TD][/TD]
[TD="align: right"]40.83[/TD]
[TD="align: right"]38.96[/TD]
[TD="align: right"]30.72[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Clara[/TD]
[TD="align: right"]34.58[/TD]
[TD][/TD]
[TD][/TD]
[TD="align: right"]35.19[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Savina[/TD]
[TD="align: right"]42.66[/TD]
[TD][/TD]
[TD][/TD]
[TD="align: right"]39.49[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Delanee[/TD]
[TD="align: right"]48.27[/TD]
[TD][/TD]
[TD="align: right"]103.23[/TD]
[TD="align: right"]41.56[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Bonnie[/TD]
[TD="align: right"]41.05[/TD]
[TD][/TD]
[TD][/TD]
[TD="align: right"]46.1[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Alyssa[/TD]
[TD="align: right"]38.16[/TD]
[TD][/TD]
[TD][/TD]
[TD="align: right"]40.78[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Scarlet[/TD]
[TD="align: right"]34.75[/TD]
[TD="align: right"]52.42[/TD]
[TD][/TD]
[TD="align: right"]41.88[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Jazelle[/TD]
[TD="align: right"]29.24[/TD]
[TD="align: right"]35.71[/TD]
[TD][/TD]
[TD="align: right"]22.41[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Aubrey[/TD]
[TD="align: right"]29.36[/TD]
[TD="align: right"]44.7[/TD]
[TD][/TD]
[TD="align: right"]26.36[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Kaydence[/TD]
[TD="align: right"]28.52[/TD]
[TD="align: right"]31.94[/TD]
[TD="align: right"]25.7[/TD]
[TD="align: right"]23.13[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Giselle[/TD]
[TD="align: right"]39.1[/TD]
[TD="align: right"]43.73[/TD]
[TD][/TD]
[TD="align: right"]33.77[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]Penny[/TD]
[TD][/TD]
[TD][/TD]
[TD="align: right"]55.52[/TD]
[TD="align: right"]39.61[/TD]
[/TR]
</tbody>[/TABLE]

Each swimmer can only swim one leg of the race and each leg is a different stroke

Best way to calculate is to find min time for each type of swim and subtract the second best one to see which stroke, swam by which swimmer would give you the best advantage. Then repeat the process WITHOUT that stroke AND swimmer to find the next biggest advantage stroke/swimmer, and again two more times until you compile the best Medley Team. (Bonus if you can continue the process to see what your second best team would be after that.) so your output would look like:

[TABLE="width: 0"]
<tbody>[TR]
[TD="bgcolor: #BDBDBD"]Backstroke[/TD]
[TD="bgcolor: #BDBDBD"]Breaststroke[/TD]
[TD="bgcolor: #BDBDBD"]Butterfly[/TD]
[TD="bgcolor: #BDBDBD"]Freestyle[/TD]
[TD="bgcolor: #BDBDBD"]Relay Time[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]
Kamlynn​
[/TD]
[TD="align: right"]Daisy[/TD]
[TD="align: right"]Vivian[/TD]
[TD="align: right"]
Alexa[/TD]
[TD="align: right"]Team[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
[TR]
[TD]
19.63​
[/TD]
[TD="align: right"]22.97[/TD]
[TD="align: right"]22.76[/TD]
[TD="align: right"]19.28[/TD]
[TD="align: right"]1:24.64[/TD]
[/TR]
[TR]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[TD="bgcolor: #D9D2E9"][/TD]
[/TR]
</tbody>[/TABLE]

Couldn't find much help besides doing a brute force permutation of all possible combinations... ordering etc., but i think there has to be a way to do this better.

Thanks in advance,
****** id="cke_pastebin" style="position: absolute; top: 1293px; width: 1px; height: 1px; overflow: hidden; left: -1000px;">th[TABLE="width: 0"]
<tbody>[TR]
[TD="align: right"]Alexa[/TD]
[/TR]
</tbody>[/TABLE]
</body>
 

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