Mirror Image Equalities

(1)   Almost perfect example:

42^2 + 53^2 + 68^2 = 9197 = 24^2 + 35^2 + 86^2

but   42 + 53 + 68 ≠ 24 + 35 + 86

since 42 + 53 + 68 = 163 and 24 + 35 + 86 = 145
 

(2)   A perfect example:

13 + 42 + 53 + 57 + 68 + 97 = 330 = 79 + 86 + 75 + 35 + 24 + 31

13^2 + 42^2 + 53^2 + 57^2 + 68^2 + 97^2 = 22024 = 79^2 + 86^2 + 75^2 + 35^2 + 24^2 + 31^2
 
 
Can you find other examples?
 

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About benvitalis

math grad - Interest: Number theory
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3 Responses to Mirror Image Equalities

  1. Paul says:

    Here are some with 4 terms, the total of each group is 220 and the last number is the sum of squares sorted in order.

    {{54,55,65,46},{45,55,56,64},12282}
    {{64,45,55,56},{46,54,55,65},12282}
    {{54,45,65,56},{45,54,56,65},12302}
    {{44,55,65,56},{44,55,56,65},12322}
    {{54,45,55,66},{45,54,55,66},12322}
    {{44,64,46,66},{44,46,64,66},12504}
    {{54,64,65,37},{45,46,56,73},12606}
    {{73,45,46,56},{37,54,64,65},12606}
    {{54,74,45,47},{45,47,54,74},12626}
    {{63,65,36,56},{36,56,63,65},12626}
    {{44,74,55,47},{44,47,55,74},12646}
    {{63,55,36,66},{36,55,63,66},12646}
    {{44,54,75,47},{44,45,57,74},12686}
    {{44,74,45,57},{44,47,54,75},12686}
    {{53,65,36,66},{35,56,63,66},12686}
    {{63,35,56,66},{36,53,65,66},12686}
    {{34,64,65,57},{43,46,56,75},12726}
    {{43,75,46,56},{34,57,64,65},12726}
    {{53,45,46,76},{35,54,64,67},12726}
    {{54,64,35,67},{45,46,53,76},12726}
    {{34,64,55,67},{43,46,55,76},12766}
    {{43,55,46,76},{34,55,64,67},12766}
    {{34,54,65,67},{43,45,56,76},12786}
    {{43,45,56,76},{34,54,65,67},12786}
    {{33,65,56,66},{33,56,65,66},12806}
    {{44,54,45,77},{44,45,54,77},12806}
    {{53,55,75,37},{35,55,57,73},12828}
    {{73,35,55,57},{37,53,55,75},12828}
    {{53,35,75,57},{35,53,57,75},12908}
    {{73,64,46,37},{37,46,64,73},12910}
    {{63,74,46,37},{36,47,64,73},12930}
    {{73,64,36,47},{37,46,63,74},12930}
    {{63,74,36,47},{36,47,63,74},12950}
    {{33,55,75,57},{33,55,57,75},12988}
    {{53,35,55,77},{35,53,55,77},12988}
    {{73,44,66,37},{37,44,66,73},12990}
    {{43,74,66,37},{34,47,66,73},13050}
    {{63,44,76,37},{36,44,67,73},13050}
    {{73,34,66,47},{37,43,66,74},13050}
    {{73,44,36,67},{37,44,63,76},13050}
    {{43,64,76,37},{34,46,67,73},13090}
    {{73,34,46,67},{37,43,64,76},13090}
    {{43,74,36,67},{34,47,63,76},13110}
    {{63,34,76,47},{36,43,67,74},13110}
    {{33,74,66,47},{33,47,66,74},13130}
    {{63,44,36,77},{36,44,63,77},13130}
    {{33,64,76,47},{33,46,67,74},13170}
    {{33,74,46,67},{33,47,64,76},13170}
    {{43,64,36,77},{34,46,63,77},13170}
    {{63,34,46,77},{36,43,64,77},13170}
    {{33,64,46,77},{33,46,64,77},13230}
    {{73,64,55,28},{37,46,55,82},13234}
    {{82,55,46,37},{28,55,64,73},13234}
    {{63,74,55,28},{36,47,55,82},13254}
    {{73,54,65,28},{37,45,56,82},13254}
    {{82,45,56,37},{28,54,65,73},13254}
    {{82,55,36,47},{28,55,63,74},13254}
    {{43,34,76,67},{34,43,67,76},13270}
    {{72,65,56,27},{27,56,65,72},13274}
    {{83,54,45,38},{38,45,54,83},13274}
    {{33,44,76,67},{33,44,67,76},13290}
    {{43,34,66,77},{34,43,66,77},13290}
    {{53,74,65,28},{35,47,56,82},13294}
    {{63,54,75,28},{36,45,57,82},13294}
    {{72,55,66,27},{27,55,66,72},13294}
    {{82,35,56,47},{28,53,65,74},13294}
    {{82,45,36,57},{28,54,63,75},13294}
    {{83,44,55,38},{38,44,55,83},13294}
    {{33,44,66,77},{33,44,66,77},13310}
    {{53,64,75,28},{35,46,57,82},13314}
    {{82,35,46,57},{28,53,64,75},13314}
    {{53,84,45,38},{35,48,54,83},13334}
    {{62,75,56,27},{26,57,65,72},13334}
    {{72,65,26,57},{27,56,62,75},13334}
    {{83,54,35,48},{38,45,53,84},13334}
    {{43,84,55,38},{34,48,55,83},13374}
    {{62,55,76,27},{26,55,67,72},13374}
    {{72,55,26,67},{27,55,62,76},13374}
    {{83,34,55,48},{38,43,55,84},13374}
    {{53,84,35,48},{35,48,53,84},13394}
    {{62,75,26,57},{26,57,62,75},13394}
    {{52,75,66,27},{25,57,66,72},13414}
    {{52,85,46,37},{25,58,64,73},13414}
    {{53,44,85,38},{35,44,58,83},13414}
    {{72,25,66,57},{27,52,66,75},13414}
    {{73,64,25,58},{37,46,52,85},13414}
    {{83,44,35,58},{38,44,53,85},13414}
    {{43,54,85,38},{34,45,58,83},13434}
    {{52,65,76,27},{25,56,67,72},13434}
    {{52,85,36,47},{25,58,63,74},13434}
    {{63,74,25,58},{36,47,52,85},13434}
    {{72,25,56,67},{27,52,65,76},13434}
    {{83,34,45,58},{38,43,54,85},13434}
    {{33,84,55,48},{33,48,55,84},13474}
    {{62,55,26,77},{26,55,62,77},13474}
    {{42,85,56,37},{24,58,65,73},13494}
    {{43,84,35,58},{34,48,53,85},13494}
    {{52,45,86,37},{25,54,68,73},13494}
    {{52,75,26,67},{25,57,62,76},13494}
    {{53,34,85,48},{35,43,58,84},13494}
    {{62,25,76,57},{26,52,67,75},13494}
    {{73,24,65,58},{37,42,56,85},13494}
    {{73,54,25,68},{37,45,52,86},13494}
    {{33,54,85,48},{33,45,58,84},13534}
    {{33,84,45,58},{33,48,54,85},13534}
    {{42,85,36,57},{24,58,63,75},13534}
    {{52,35,86,47},{25,53,68,74},13534}
    {{52,65,26,77},{25,56,62,77},13534}
    {{53,74,25,68},{35,47,52,86},13534}
    {{62,25,56,77},{26,52,65,77},13534}
    {{63,24,75,58},{36,42,57,85},13534}
    {{42,55,86,37},{24,55,68,73},13554}
    {{73,24,55,68},{37,42,55,86},13554}
    {{23,74,65,58},{32,47,56,85},13594}
    {{32,85,56,47},{23,58,65,74},13594}
    {{43,34,85,58},{34,43,58,85},13594}
    {{52,25,76,67},{25,52,67,76},13594}
    {{52,45,36,87},{25,54,63,78},13594}
    {{63,54,25,78},{36,45,52,87},13594}
    {{63,83,36,38},{36,38,63,83},13598}
    {{72,74,27,47},{27,47,72,74},13598}
    {{23,64,75,58},{32,46,57,85},13614}
    {{32,85,46,57},{23,58,64,75},13614}
    {{33,44,85,58},{33,44,58,85},13614}
    {{52,25,66,77},{25,52,66,77},13614}
    {{52,35,46,87},{25,53,64,78},13614}
    {{53,64,25,78},{35,46,52,87},13614}
    {{53,83,56,28},{35,38,65,82},13618}
    {{72,45,75,28},{27,54,57,82},13618}
    {{82,35,65,38},{28,53,56,83},13618}
    {{82,54,27,57},{28,45,72,75},13618}
    {{42,35,86,57},{24,53,68,75},13634}
    {{53,24,75,68},{35,42,57,86},13634}
    {{23,74,55,68},{32,47,55,86},13654}
    {{32,55,86,47},{23,55,68,74},13654}
    {{42,55,36,87},{24,55,63,78},13654}
    {{63,24,55,78},{36,42,55,87},13654}
    {{23,54,75,68},{32,45,57,86},13694}
    {{32,45,86,57},{23,54,68,75},13694}
    {{42,35,56,87},{24,53,65,78},13694}
    {{53,24,65,78},{35,42,56,87},13694}
    {{22,75,66,57},{22,57,66,75},13714}
    {{53,44,35,88},{35,44,53,88},13714}
    {{33,73,37,77},{33,37,73,77},13716}
    {{82,64,46,28},{28,46,64,82},13720}
    {{22,65,76,57},{22,56,67,75},13734}
    {{22,75,56,67},{22,57,65,76},13734}
    {{23,64,55,78},{32,46,55,87},13734}
    {{32,55,46,87},{23,55,64,78},13734}
    {{43,54,35,88},{34,45,53,88},13734}
    {{53,34,45,88},{35,43,54,88},13734}
    {{43,73,76,28},{34,37,67,82},13738}
    {{52,55,85,28},{25,55,58,82},13738}
    {{52,84,27,57},{25,48,72,75},13738}
    {{53,83,26,58},{35,38,62,85},13738}
    {{62,35,85,38},{26,53,58,83},13738}
    {{72,25,75,48},{27,52,57,84},13738}
    {{82,25,55,58},{28,52,55,85},13738}
    {{82,34,37,67},{28,43,73,76},13738}
    {{23,54,65,78},{32,45,56,87},13754}
    {{32,45,56,87},{23,54,65,78},13754}
    {{22,55,76,67},{22,55,67,76},13774}
    {{22,65,56,77},{22,56,65,77},13774}
    {{33,54,45,88},{33,45,54,88},13774}
    {{43,34,55,88},{34,43,55,88},13774}
    {{33,83,66,38},{33,38,66,83},13778}
    {{72,44,27,77},{27,44,72,77},13778}
    {{22,55,66,77},{22,55,66,77},13794}
    {{33,44,55,88},{33,44,55,88},13794}
    {{62,84,46,28},{26,48,64,82},13800}
    {{82,44,66,28},{28,44,66,82},13800}
    {{82,64,26,48},{28,46,62,84},13800}
    {{62,84,26,48},{26,48,62,84},13880}
    {{33,63,86,38},{33,36,68,83},13898}
    {{33,83,36,68},{33,38,63,86},13898}
    {{42,74,27,77},{24,47,72,77},13898}
    {{72,24,47,77},{27,42,74,77},13898}
    {{63,64,74,19},{36,46,47,91},13902}
    {{91,36,46,47},{19,63,64,74},13902}
    {{23,83,56,58},{32,38,65,85},13918}
    {{32,65,85,38},{23,56,58,83},13918}
    {{52,25,85,58},{25,52,58,85},13918}
    {{52,54,27,87},{25,45,72,78},13918}
    {{72,25,45,78},{27,52,54,87},13918}
    {{23,73,76,48},{32,37,67,84},13938}
    {{32,84,37,67},{23,48,73,76},13938}
    {{43,73,26,78},{34,37,62,87},13938}
    {{62,34,37,87},{26,43,73,78},13938}
    {{42,84,66,28},{24,48,66,82},13960}
    {{62,44,86,28},{26,44,68,82},13960}
    {{82,24,66,48},{28,42,66,84},13960}
    {{82,44,26,68},{28,44,62,86},13960}
    {{42,64,86,28},{24,46,68,82},14040}
    {{82,24,46,68},{28,42,64,86},14040}
    {{23,73,46,78},{32,37,64,87},14058}
    {{32,64,37,87},{23,46,73,78},14058}
    {{22,55,85,58},{22,55,58,85},14098}
    {{22,74,47,77},{22,47,74,77},14098}
    {{23,53,86,58},{32,35,68,85},14098}
    {{32,35,85,68},{23,53,58,86},14098}
    {{33,63,36,88},{33,36,63,88},14098}
    {{42,25,75,78},{24,52,57,87},14098}
    {{52,24,57,87},{25,42,75,78},14098}
    {{52,25,55,88},{25,52,55,88},14098}
    {{42,84,26,68},{24,48,62,86},14120}
    {{62,24,86,48},{26,42,68,84},14120}
    {{53,73,75,19},{35,37,57,91},14124}
    {{91,35,37,57},{19,53,73,75},14124}
    {{43,44,94,39},{34,44,49,93},14142}
    {{61,66,76,17},{16,66,67,71},14142}
    {{71,16,66,67},{17,61,66,76},14142}
    {{93,34,44,49},{39,43,44,94},14142}
    {{22,84,66,48},{22,48,66,84},14200}
    {{62,44,26,88},{26,44,62,88},14200}
    {{53,93,35,39},{35,39,53,93},14204}
    {{71,75,17,57},{17,57,71,75},14204}
    {{82,64,55,19},{28,46,55,91},14206}
    {{82,73,37,28},{28,37,73,82},14206}
    {{91,55,46,28},{19,55,64,82},14206}
    {{22,45,75,78},{22,54,57,87},14218}
    {{22,54,57,87},{22,45,75,78},14218}
    {{23,53,56,88},{32,35,65,88},14218}
    {{32,35,65,88},{23,53,56,88},14218}
    {{72,83,37,28},{27,38,73,82},14226}
    {{82,54,65,19},{28,45,56,91},14226}
    {{82,73,27,38},{28,37,72,83},14226}
    {{91,45,56,28},{19,54,65,82},14226}
    {{23,43,76,78},{32,34,67,87},14238}
    {{32,34,67,87},{23,43,76,78},14238}
    {{43,34,94,49},{34,43,49,94},14242}
    {{61,16,76,67},{16,61,67,76},14242}
    {{72,83,27,38},{27,38,72,83},14246}
    {{81,65,56,18},{18,56,65,81},14246}
    {{92,54,45,29},{29,45,54,92},14246}
    {{33,44,94,49},{33,44,49,94},14262}
    {{61,16,66,77},{16,61,66,77},14262}
    {{81,55,66,18},{18,55,66,81},14266}
    {{81,75,36,28},{18,57,63,82},14266}
    {{82,63,57,18},{28,36,75,81},14266}
    {{82,74,35,29},{28,47,53,92},14266}
    {{92,44,55,29},{29,44,55,92},14266}
    {{92,53,47,28},{29,35,74,82},14266}
    {{22,64,86,48},{22,46,68,84},14280}
    {{22,84,46,68},{22,48,64,86},14280}
    {{42,64,26,88},{24,46,62,88},14280}
    {{62,24,46,88},{26,42,64,88},14280}
    {{33,93,55,39},{33,39,55,93},14284}
    {{71,55,17,77},{17,55,71,77},14284}
    {{62,84,55,19},{26,48,55,91},14286}
    {{91,55,26,48},{19,55,62,84},14286}
    {{62,83,57,18},{26,38,75,81},14306}
    {{72,84,35,29},{27,48,53,92},14306}
    {{81,75,26,38},{18,57,62,83},14306}
    {{92,53,27,48},{29,35,72,84},14306}
    {{52,84,65,19},{25,48,56,91},14346}
    {{52,93,47,28},{25,39,74,82},14346}
    {{62,54,85,19},{26,45,58,91},14346}
    {{71,85,36,28},{17,58,63,82},14346}
    {{81,35,76,28},{18,53,67,82},14346}
    {{82,34,75,29},{28,43,57,92},14346}
    {{82,53,67,18},{28,35,76,81},14346}
    {{82,63,17,58},{28,36,71,85},14346}
    {{82,74,25,39},{28,47,52,93},14346}
    {{91,25,56,48},{19,52,65,84},14346}
    {{91,45,26,58},{19,54,62,85},14346}
    {{92,43,57,28},{29,34,75,82},14346}
    {{42,24,86,68},{24,42,68,86},14360}
    {{41,46,96,37},{14,64,69,73},14382}
    {{73,14,64,69},{37,41,46,96},14382}
    {{52,64,85,19},{25,46,58,91},14386}
    {{52,93,27,48},{25,39,72,84},14386}
    {{62,83,17,58},{26,38,71,85},14386}
    {{71,85,26,38},{17,58,62,83},14386}
    {{72,84,25,39},{27,48,52,93},14386}
    {{91,25,46,58},{19,52,64,85},14386}
    {{41,36,96,47},{14,63,69,74},14402}
    {{63,14,74,69},{36,41,47,96},14402}
    {{52,83,67,18},{25,38,76,81},14406}
    {{52,94,45,29},{25,49,54,92},14406}
    {{61,85,56,18},{16,58,65,81},14406}
    {{72,34,85,29},{27,43,58,92},14406}
    {{81,25,76,38},{18,52,67,83},14406}
    {{81,65,16,58},{18,56,61,85},14406}
    {{92,43,27,58},{29,34,72,85},14406}
    {{92,54,25,49},{29,45,52,94},14406}
    {{22,44,86,68},{22,44,68,86},14440}
    {{22,64,46,88},{22,46,64,88},14440}
    {{42,24,66,88},{24,42,66,88},14440}
    {{33,53,95,39},{33,35,59,93},14444}
    {{33,93,35,59},{33,39,53,95},14444}
    {{51,75,17,77},{15,57,71,77},14444}
    {{71,15,57,77},{17,51,75,77},14444}
    {{42,93,57,28},{24,39,75,82},14446}
    {{71,35,86,28},{17,53,68,82},14446}
    {{82,24,75,39},{28,42,57,93},14446}
    {{82,53,17,68},{28,35,71,86},14446}
    {{42,94,55,29},{24,49,55,92},14466}
    {{61,55,86,18},{16,55,68,81},14466}
    {{81,55,16,68},{18,55,61,86},14466}
    {{92,24,55,49},{29,42,55,94},14466}
    {{13,64,74,69},{31,46,47,96},14502}
    {{31,46,96,47},{13,64,69,74},14502}
    {{41,36,46,97},{14,63,64,79},14502}
    {{63,14,64,79},{36,41,46,97},14502}
    {{42,93,27,58},{24,39,72,85},14506}
    {{51,85,66,18},{15,58,66,81},14506}
    {{52,44,95,29},{25,44,59,92},14506}
    {{52,83,17,68},{25,38,71,86},14506}
    {{71,25,86,38},{17,52,68,83},14506}
    {{72,24,85,39},{27,42,58,93},14506}
    {{81,15,66,58},{18,51,66,85},14506}
    {{92,44,25,59},{29,44,52,95},14506}
    {{22,44,66,88},{22,44,66,88},14520}
    {{51,95,46,28},{15,59,64,82},14526}
    {{82,33,77,28},{28,33,77,82},14526}
    {{82,64,15,59},{28,46,51,95},14526}
    {{82,73,46,19},{28,37,64,91},14530}
    {{91,64,37,28},{19,46,73,82},14530}
    {{32,84,75,29},{23,48,57,92},14546}
    {{42,54,95,29},{24,45,59,92},14546}
    {{51,65,86,18},{15,56,68,81},14546}
    {{62,53,87,18},{26,35,78,81},14546}
    {{81,15,56,68},{18,51,65,86},14546}
    {{81,35,26,78},{18,53,62,87},14546}
    {{92,23,57,48},{29,32,75,84},14546}
    {{92,24,45,59},{29,42,54,95},14546}
    {{72,83,46,19},{27,38,64,91},14550}
    {{91,64,27,38},{19,46,72,83},14550}
    {{32,74,85,29},{23,47,58,92},14566}
    {{52,63,87,18},{25,36,78,81},14566}
    {{52,94,25,49},{25,49,52,94},14566}
    {{61,85,16,58},{16,58,61,85},14566}
    {{81,25,36,78},{18,52,63,87},14566}
    {{92,23,47,58},{29,32,74,85},14566}
    {{81,74,47,18},{18,47,74,81},14570}
    {{92,63,36,29},{29,36,63,92},14570}
    {{13,73,75,59},{31,37,57,95},14604}
    {{31,95,37,57},{13,59,73,75},14604}
    {{51,35,37,97},{15,53,73,79},14604}
    {{53,73,15,79},{35,37,51,97},14604}
    {{51,95,26,48},{15,59,62,84},14606}
    {{62,84,15,59},{26,48,51,95},14606}
    {{32,83,77,28},{23,38,77,82},14626}
    {{41,95,56,28},{14,59,65,82},14626}
    {{51,45,96,28},{15,54,69,82},14626}
    {{72,33,87,28},{27,33,78,82},14626}
    {{82,14,65,59},{28,41,56,95},14626}
    {{82,23,77,38},{28,32,77,83},14626}
    {{82,33,27,78},{28,33,72,87},14626}
    {{82,54,15,69},{28,45,51,96},14626}
    {{62,93,36,29},{26,39,63,92},14630}
    {{71,84,47,18},{17,48,74,81},14630}
    {{81,74,17,48},{18,47,71,84},14630}
    {{92,63,26,39},{29,36,62,93},14630}
    {{22,84,75,39},{22,48,57,93},14686}
    {{22,93,57,48},{22,39,75,84},14686}
    {{62,53,17,88},{26,35,71,88},14686}
    {{71,35,26,88},{17,53,62,88},14686}
    {{62,93,26,39},{26,39,62,93},14690}
    {{71,84,17,48},{17,48,71,84},14690}
    {{22,74,85,39},{22,47,58,93},14706}
    {{22,93,47,58},{22,39,74,85},14706}
    {{32,73,87,28},{23,37,78,82},14706}
    {{41,55,96,28},{14,55,69,82},14706}
    {{42,94,25,59},{24,49,52,95},14706}
    {{51,85,16,68},{15,58,61,86},14706}
    {{52,24,95,49},{25,42,59,94},14706}
    {{52,63,17,88},{25,36,71,88},14706}
    {{61,15,86,58},{16,51,68,85},14706}
    {{71,25,36,88},{17,52,63,88},14706}
    {{82,14,55,69},{28,41,55,96},14706}
    {{82,23,37,78},{28,32,73,87},14706}
    {{61,94,37,28},{16,49,73,82},14710}
    {{82,43,76,19},{28,34,67,91},14710}
    {{82,73,16,49},{28,37,61,94},14710}
    {{91,34,67,28},{19,43,76,82},14710}
    {{32,83,27,78},{23,38,72,87},14726}
    {{72,23,87,38},{27,32,78,83},14726}
    {{61,94,27,38},{16,49,72,83},14730}
    {{72,83,16,49},{27,38,61,94},14730}
    {{11,66,76,67},{11,66,67,76},14742}
    {{43,34,44,99},{34,43,44,99},14742}
    {{22,83,77,38},{22,38,77,83},14746}
    {{22,94,55,49},{22,49,55,94},14746}
    {{31,85,76,28},{13,58,67,82},14746}
    {{41,95,26,58},{14,59,62,85},14746}
    {{51,25,96,48},{15,52,69,84},14746}
    {{52,43,97,28},{25,34,79,82},14746}
    {{52,84,15,69},{25,48,51,96},14746}
    {{61,55,16,88},{16,55,61,88},14746}
    {{62,14,85,59},{26,41,58,95},14746}
    {{72,33,27,88},{27,33,72,88},14746}
    {{82,13,67,58},{28,31,76,85},14746}
    {{82,34,25,79},{28,43,52,97},14746}
    {{81,44,77,18},{18,44,77,81},14750}
    {{92,33,66,29},{29,33,66,92},14750}
    {{13,73,55,79},{31,37,55,97},14764}
    {{31,55,37,97},{13,55,73,79},14764}
    {{31,75,86,28},{13,57,68,82},14766}
    {{42,53,97,28},{24,35,79,82},14766}
    {{82,13,57,68},{28,31,75,86},14766}
    {{82,24,35,79},{28,42,53,97},14766}
    {{42,83,76,19},{24,38,67,91},14790}
    {{72,43,86,19},{27,34,68,91},14790}
    {{91,24,67,38},{19,42,76,83},14790}
    {{91,34,27,68},{19,43,72,86},14790}
    {{22,54,95,49},{22,45,59,94},14826}
    {{22,73,87,38},{22,37,78,83},14826}
    {{22,83,37,78},{22,38,73,87},14826}
    {{22,94,45,59},{22,49,54,95},14826}
    {{32,73,27,88},{23,37,72,88},14826}
    {{51,65,16,88},{15,56,61,88},14826}
    {{61,15,56,88},{16,51,65,88},14826}
    {{72,23,37,88},{27,32,73,88},14826}
    {{13,53,75,79},{31,35,57,97},14844}
    {{31,35,57,97},{13,53,75,79},14844}
    {{42,24,95,59},{24,42,59,95},14846}
    {{51,15,86,68},{15,51,68,86},14846}
    {{42,73,86,19},{24,37,68,91},14850}
    {{91,24,37,68},{19,42,73,86},14850}
    {{91,64,46,19},{19,46,64,91},14854}
    {{32,93,66,29},{23,39,66,92},14870}
    {{71,44,87,18},{17,44,78,81},14870}
    {{81,44,17,78},{18,44,71,87},14870}
    {{92,23,66,39},{29,32,66,93},14870}
    {{12,83,67,58},{21,38,76,85},14886}
    {{21,85,76,38},{12,58,67,83},14886}
    {{41,25,96,58},{14,52,69,85},14886}
    {{52,14,85,69},{25,41,58,96},14886}
    {{52,43,27,98},{25,34,72,89},14886}
    {{72,34,25,89},{27,43,52,98},14886}
    {{12,83,57,68},{21,38,75,86},14906}
    {{12,84,65,59},{21,48,56,95},14906}
    {{21,75,86,38},{12,57,68,83},14906}
    {{21,95,56,48},{12,59,65,84},14906}
    {{42,53,27,98},{24,35,72,89},14906}
    {{51,45,26,98},{15,54,62,89},14906}
    {{62,54,15,89},{26,45,51,98},14906}
    {{72,24,35,89},{27,42,53,98},14906}
    {{11,75,57,77},{11,57,75,77},14924}
    {{33,53,35,99},{33,35,53,99},14924}
    {{22,44,95,59},{22,44,59,95},14926}
    {{22,73,37,88},{22,37,73,88},14926}
    {{51,15,66,88},{15,51,66,88},14926}
    {{91,44,66,19},{19,44,66,91},14934}
    {{12,64,85,59},{21,46,58,95},14946}
    {{21,95,46,58},{12,59,64,85},14946}
    {{31,85,26,78},{13,58,62,87},14946}
    {{32,84,25,79},{23,48,52,97},14946}
    {{51,25,46,98},{15,52,64,89},14946}
    {{52,23,97,48},{25,32,79,84},14946}
    {{52,64,15,89},{25,46,51,98},14946}
    {{62,13,87,58},{26,31,78,85},14946}
    {{12,84,55,69},{21,48,55,96},14986}
    {{21,55,96,48},{12,55,69,84},14986}
    {{41,55,26,98},{14,55,62,89},14986}
    {{62,14,55,89},{26,41,55,98},14986}
    {{41,84,77,18},{14,48,77,81},14990}
    {{62,33,96,29},{26,33,69,92},14990}
    {{81,14,77,48},{18,41,77,84},14990}
    {{92,33,26,69},{29,33,62,96},14990}
    {{22,53,97,48},{22,35,79,84},15006}
    {{22,84,35,79},{22,48,53,97},15006}
    {{31,75,26,88},{13,57,62,88},15006}
    {{62,13,57,88},{26,31,75,88},15006}
    {{22,93,66,39},{22,39,66,93},15010}
    {{71,44,17,88},{17,44,71,88},15010}
    {{51,55,95,19},{15,55,59,91},15012}
    {{91,15,55,59},{19,51,55,95},15012}
    {{61,94,46,19},{16,49,64,91},15034}
    {{91,64,16,49},{19,46,61,94},15034}
    {{12,54,85,69},{21,45,58,96},15046}
    {{12,63,87,58},{21,36,78,85},15046}
    {{21,45,96,58},{12,54,69,85},15046}
    {{21,85,36,78},{12,58,63,87},15046}
    {{32,74,25,89},{23,47,52,98},15046}
    {{41,25,56,98},{14,52,65,89},15046}
    {{52,14,65,89},{25,41,56,98},15046}
    {{52,23,47,98},{25,32,74,89},15046}
    {{32,63,96,29},{23,36,69,92},15050}
    {{41,74,87,18},{14,47,78,81},15050}
    {{81,14,47,78},{18,41,74,87},15050}
    {{92,23,36,69},{29,32,63,96},15050}
    {{11,85,66,58},{11,58,66,85},15066}
    {{31,25,86,78},{13,52,68,87},15066}
    {{32,24,85,79},{23,42,58,97},15066}
    {{42,23,97,58},{24,32,79,85},15066}
    {{52,13,87,68},{25,31,78,86},15066}
    {{52,44,25,99},{25,44,52,99},15066}
    {{31,94,67,28},{13,49,76,82},15070}
    {{61,34,97,28},{16,43,79,82},15070}
    {{82,13,76,49},{28,31,67,94},15070}
    {{82,43,16,79},{28,34,61,97},15070}
    {{11,65,86,58},{11,56,68,85},15106}
    {{11,85,56,68},{11,58,65,86},15106}
    {{12,63,57,88},{21,36,75,88},15106}
    {{21,75,36,88},{12,57,63,88},15106}
    {{22,34,85,79},{22,43,58,97},15106}
    {{22,43,97,58},{22,34,79,85},15106}
    {{22,53,47,98},{22,35,74,89},15106}
    {{22,74,35,89},{22,47,53,98},15106}
    {{31,25,76,88},{13,52,67,88},15106}
    {{42,54,25,99},{24,45,52,99},15106}
    {{52,13,67,88},{25,31,76,88},15106}
    {{52,24,45,99},{25,42,54,99},15106}
    {{32,93,26,69},{23,39,62,96},15110}
    {{41,84,17,78},{14,48,71,87},15110}
    {{62,23,96,39},{26,32,69,93},15110}
    {{71,14,87,48},{17,41,78,84},15110}
    {{12,53,87,68},{21,35,78,86},15146}
    {{21,35,86,78},{12,53,68,87},15146}
    {{32,24,75,89},{23,42,57,98},15146}
    {{42,23,57,98},{24,32,75,89},15146}
    {{31,94,27,68},{13,49,72,86},15150}
    {{42,83,16,79},{24,38,61,97},15150}
    {{61,24,97,38},{16,42,79,83},15150}
    {{72,13,86,49},{27,31,68,94},15150}
    {{11,55,86,68},{11,55,68,86},15166}
    {{42,24,55,99},{24,42,55,99},15166}
    {{12,53,67,88},{21,35,76,88},15186}
    {{12,64,55,89},{21,46,55,98},15186}
    {{21,35,76,88},{12,53,67,88},15186}
    {{21,55,46,98},{12,55,64,89},15186}
    {{22,34,75,89},{22,43,57,98},15186}
    {{22,43,57,98},{22,34,75,89},15186}
    {{22,63,96,39},{22,36,69,93},15190}
    {{22,93,36,69},{22,39,63,96},15190}
    {{41,74,17,88},{14,47,71,88},15190}
    {{71,14,47,88},{17,41,74,88},15190}
    {{12,54,65,89},{21,45,56,98},15206}
    {{21,45,56,98},{12,54,65,89},15206}
    {{32,23,87,78},{23,32,78,87},15206}
    {{12,83,76,49},{21,38,67,94},15210}
    {{21,94,67,38},{12,49,76,83},15210}
    {{61,34,27,98},{16,43,72,89},15210}
    {{72,43,16,89},{27,34,61,98},15210}
    {{61,94,16,49},{16,49,61,94},15214}
    {{72,92,27,29},{27,29,72,92},15218}
    {{81,83,18,38},{18,38,81,83},15218}
    {{11,65,56,88},{11,56,65,88},15226}
    {{22,33,87,78},{22,33,78,87},15226}
    {{22,54,45,99},{22,45,54,99},15226}
    {{32,23,77,88},{23,32,77,88},15226}
    {{41,94,66,19},{14,49,66,91},15234}
    {{61,44,96,19},{16,44,69,91},15234}
    {{91,14,66,49},{19,41,66,94},15234}
    {{91,44,16,69},{19,44,61,96},15234}
    {{11,55,66,88},{11,55,66,88},15246}
    {{22,33,77,88},{22,33,77,88},15246}
    {{22,44,55,99},{22,44,55,99},15246}
    {{31,64,97,28},{13,46,79,82},15250}
    {{82,13,46,79},{28,31,64,97},15250}
    {{12,73,86,49},{21,37,68,94},15270}
    {{21,94,37,68},{12,49,73,86},15270}
    {{42,73,16,89},{24,37,61,98},15270}
    {{61,24,37,98},{16,42,73,89},15270}
    {{51,15,95,59},{15,51,59,95},15332}
    {{91,73,37,19},{19,37,73,91},15340}
    {{41,64,96,19},{14,46,69,91},15354}
    {{91,14,46,69},{19,41,64,96},15354}
    {{12,83,46,79},{21,38,64,97},15390}
    {{21,64,97,38},{12,46,79,83},15390}
    {{31,64,27,98},{13,46,72,89},15390}
    {{72,13,46,89},{27,31,64,98},15390}
    {{11,84,77,48},{11,48,77,84},15410}
    {{62,33,26,99},{26,33,62,99},15410}
    {{71,93,37,19},{17,39,73,91},15420}
    {{91,73,17,39},{19,37,71,93},15420}
    {{11,74,87,48},{11,47,78,84},15470}
    {{11,84,47,78},{11,48,74,87},15470}
    {{32,63,26,99},{23,36,62,99},15470}
    {{62,23,36,99},{26,32,63,99},15470}
    {{71,93,17,39},{17,39,71,93},15500}
    {{12,73,46,89},{21,37,64,98},15510}
    {{21,64,37,98},{12,46,73,89},15510}
    {{32,23,96,69},{23,32,69,96},15530}
    {{41,14,87,78},{14,41,78,87},15530}
    {{41,94,16,69},{14,49,61,96},15534}
    {{61,14,96,49},{16,41,69,94},15534}
    {{11,74,47,88},{11,47,74,88},15550}
    {{22,33,96,69},{22,33,69,96},15550}
    {{22,63,36,99},{22,36,63,99},15550}
    {{41,14,77,88},{14,41,77,88},15550}
    {{31,24,97,68},{13,42,79,86},15570}
    {{42,13,86,79},{24,31,68,97},15570}
    {{12,43,86,79},{21,34,68,97},15630}
    {{21,34,97,68},{12,43,79,86},15630}
    {{31,24,67,98},{13,42,76,89},15630}
    {{42,13,76,89},{24,31,67,98},15630}
    {{11,55,95,59},{11,55,59,95},15652}
    {{51,15,55,99},{15,51,55,99},15652}
    {{91,33,77,19},{19,33,77,91},15660}
    {{32,82,87,19},{23,28,78,91},15678}
    {{91,23,28,78},{19,32,82,87},15678}
    {{12,43,76,89},{21,34,67,98},15690}
    {{21,34,67,98},{12,43,76,89},15690}
    {{11,44,87,78},{11,44,78,87},15710}
    {{32,23,66,99},{23,32,66,99},15710}
    {{11,94,66,49},{11,49,66,94},15714}
    {{61,44,16,99},{16,44,61,99},15714}
    {{22,92,77,29},{22,29,77,92},15718}
    {{81,33,18,88},{18,33,81,88},15718}
    {{11,44,77,88},{11,44,77,88},15730}
    {{22,33,66,99},{22,33,66,99},15730}
    {{22,82,28,88},{22,28,82,88},15736}
    {{11,64,96,49},{11,46,69,94},15834}
    {{11,94,46,69},{11,49,64,96},15834}
    {{41,64,16,99},{14,46,61,99},15834}
    {{61,14,46,99},{16,41,64,99},15834}
    {{41,14,96,69},{14,41,69,96},15854}
    {{31,93,77,19},{13,39,77,91},15900}
    {{71,33,97,19},{17,33,79,91},15900}
    {{91,13,77,39},{19,31,77,93},15900}
    {{91,33,17,79},{19,33,71,97},15900}
    {{22,72,97,29},{22,27,79,92},15918}
    {{22,92,27,79},{22,29,72,97},15918}
    {{31,83,18,88},{13,38,81,88},15918}
    {{81,13,38,88},{18,31,83,88},15918}
    {{12,82,87,39},{21,28,78,93},15958}
    {{21,93,28,78},{12,39,82,87},15958}
    {{32,82,17,89},{23,28,71,98},15958}
    {{71,23,28,98},{17,32,82,89},15958}
    {{11,44,96,69},{11,44,69,96},16034}
    {{41,14,66,99},{14,41,66,99},16034}
    {{31,73,97,19},{13,37,79,91},16060}
    {{91,13,37,79},{19,31,73,97},16060}
    {{11,64,46,99},{11,46,64,99},16134}
    {{31,93,17,79},{13,39,71,97},16140}
    {{71,13,97,39},{17,31,79,93},16140}
    {{91,82,28,19},{19,28,82,91},16150}
    {{12,82,37,89},{21,28,73,98},16158}
    {{21,73,28,98},{12,37,82,89},16158}
    {{81,92,28,19},{18,29,82,91},16170}
    {{91,82,18,29},{19,28,81,92},16170}
    {{81,92,18,29},{18,29,81,92},16190}
    {{11,83,38,88},{11,38,83,88},16198}
    {{22,72,27,99},{22,27,72,99},16198}
    {{11,44,66,99},{11,44,66,99},16214}
    {{11,93,77,39},{11,39,77,93},16220}
    {{71,33,17,99},{17,33,71,99},16220}
    {{11,73,97,39},{11,37,79,93},16380}
    {{11,93,37,79},{11,39,73,97},16380}
    {{31,73,17,99},{13,37,71,99},16380}
    {{71,13,37,99},{17,31,73,99},16380}
    {{11,73,37,99},{11,37,73,99},16620}
    {{12,32,87,89},{21,23,78,98},16658}
    {{21,23,78,98},{12,32,87,89},16658}
    {{31,13,97,79},{13,31,79,97},16780}
    {{11,33,97,79},{11,33,79,97},16860}
    {{31,13,77,99},{13,31,77,99},16860}
    {{91,22,88,19},{19,22,88,91},16870}
    {{11,33,77,99},{11,33,77,99},16940}
    {{21,92,88,19},{12,29,88,91},17010}
    {{81,22,98,19},{18,22,89,91},17010}
    {{91,12,88,29},{19,21,88,92},17010}
    {{91,22,18,89},{19,22,81,98},17010}
    {{21,82,98,19},{12,28,89,91},17130}
    {{91,12,28,89},{19,21,82,98},17130}
    {{21,92,18,89},{12,29,81,98},17150}
    {{81,12,98,29},{18,21,89,92},17150}
    {{11,92,88,29},{11,29,88,92},17170}
    {{81,22,18,99},{18,22,81,99},17170}
    {{11,82,98,29},{11,28,89,92},17290}
    {{11,92,28,89},{11,29,82,98},17290}
    {{21,82,18,99},{12,28,81,99},17290}
    {{81,12,28,99},{18,21,82,99},17290}
    {{11,82,28,99},{11,28,82,99},17430}
    {{21,12,98,89},{12,21,89,98},18110}
    {{11,22,98,89},{11,22,89,98},18130}
    {{21,12,88,99},{12,21,88,99},18130}
    {{11,22,88,99},{11,22,88,99},18150}
    {{11,91,19,99},{11,19,91,99},18564}

    Paul.

    • Paul says:

      here is a list with 3 terms, the sum of terms is 165, I haven’t removed trivial ones.

      {{64,55,46},{46,55,64},9237}
      {{54,65,46},{45,56,64},9257}
      {{64,45,56},{46,54,65},9257}
      {{44,65,56},{44,56,65},9297}
      {{54,45,66},{45,54,66},9297}
      {{44,55,66},{44,55,66},9317}
      {{44,74,47},{44,47,74},9621}
      {{63,36,66},{36,63,66},9621}
      {{73,55,37},{37,55,73},9723}
      {{34,64,67},{43,46,76},9741}
      {{43,46,76},{34,64,67},9741}
      {{53,75,37},{35,57,73},9803}
      {{73,35,57},{37,53,75},9803}
      {{33,75,57},{33,57,75},9963}
      {{53,35,77},{35,53,77},9963}
      {{33,55,77},{33,55,77},10043}
      {{73,64,28},{37,46,82},10209}
      {{82,46,37},{28,64,73},10209}
      {{63,74,28},{36,47,82},10229}
      {{82,36,47},{28,63,74},10229}
      {{72,66,27},{27,66,72},10269}
      {{83,44,38},{38,44,83},10269}
      {{43,84,38},{34,48,83},10349}
      {{62,76,27},{26,67,72},10349}
      {{72,26,67},{27,62,76},10349}
      {{83,34,48},{38,43,84},10349}
      {{33,84,48},{33,48,84},10449}
      {{62,26,77},{26,62,77},10449}
      {{42,86,37},{24,68,73},10529}
      {{73,24,68},{37,42,86},10529}
      {{82,55,28},{28,55,82},10533}
      {{23,74,68},{32,47,86},10629}
      {{32,86,47},{23,68,74},10629}
      {{42,36,87},{24,63,78},10629}
      {{63,24,78},{36,42,87},10629}
      {{23,64,78},{32,46,87},10709}
      {{32,46,87},{23,64,78},10709}
      {{52,85,28},{25,58,82},10713}
      {{82,25,58},{28,52,85},10713}
      {{22,76,67},{22,67,76},10749}
      {{43,34,88},{34,43,88},10749}
      {{22,66,77},{22,66,77},10769}
      {{33,44,88},{33,44,88},10769}
      {{22,85,58},{22,58,85},11073}
      {{52,25,88},{25,52,88},11073}
      {{82,64,19},{28,46,91},11181}
      {{91,46,28},{19,64,82},11181}
      {{81,66,18},{18,66,81},11241}
      {{92,44,29},{29,44,92},11241}
      {{22,55,88},{22,55,88},11253}
      {{33,93,39},{33,39,93},11259}
      {{71,17,77},{17,71,77},11259}
      {{62,84,19},{26,48,91},11261}
      {{91,26,48},{19,62,84},11261}
      {{42,94,29},{24,49,92},11441}
      {{61,86,18},{16,68,81},11441}
      {{81,16,68},{18,61,86},11441}
      {{92,24,49},{29,42,94},11441}
      {{91,55,19},{19,55,91},11667}
      {{41,96,28},{14,69,82},11681}
      {{82,14,69},{28,41,96},11681}
      {{22,94,49},{22,49,94},11721}
      {{61,16,88},{16,61,88},11721}
      {{13,73,79},{31,37,97},11739}
      {{31,37,97},{13,73,79},11739}
      {{12,84,69},{21,48,96},11961}
      {{21,96,48},{12,69,84},11961}
      {{41,26,98},{14,62,89},11961}
      {{62,14,89},{26,41,98},11961}
      {{51,95,19},{15,59,91},11987}
      {{91,15,59},{19,51,95},11987}
      {{11,86,68},{11,68,86},12141}
      {{42,24,99},{24,42,99},12141}
      {{12,64,89},{21,46,98},12161}
      {{21,46,98},{12,64,89},12161}
      {{11,66,88},{11,66,88},12221}
      {{22,44,99},{22,44,99},12221}
      {{11,95,59},{11,59,95},12627}
      {{51,15,99},{15,51,99},12627}
      {{11,55,99},{11,55,99},12947}

      Paul.

      • Paul says:

        The following is a full list of all possible 3 term sums, first number is the sum, then the terms and the last number is the sum of squares.

        {44,{11,21,12},{11,12,21},706}

        {55,{21,12,22},{12,21,22},1069}
        {55,{11,31,13},{11,13,31},1251}

        {66,{31,22,13},{13,22,31},1614}
        {66,{21,32,13},{12,23,31},1634}
        {66,{31,12,23},{13,21,32},1634}
        {66,{11,32,23},{11,23,32},1674}
        {66,{21,12,33},{12,21,33},1674}
        {66,{11,22,33},{11,22,33},1694}
        {66,{11,41,14},{11,14,41},1998}

        {77,{22,32,23},{22,23,32},2037}
        {77,{31,13,33},{13,31,33},2219}
        {77,{41,22,14},{14,22,41},2361}
        {77,{21,42,14},{12,24,41},2401}
        {77,{41,12,24},{14,21,42},2401}
        {77,{11,42,24},{11,24,42},2461}
        {77,{21,12,44},{12,21,44},2521}
        {77,{11,22,44},{11,22,44},2541}
        {77,{11,51,15},{11,15,51},2947}

        {88,{32,23,33},{23,32,33},2642}
        {88,{22,42,24},{22,24,42},2824}
        {88,{41,33,14},{14,33,41},2966}
        {88,{31,43,14},{13,34,41},3006}
        {88,{41,13,34},{14,31,43},3006}
        {88,{31,13,44},{13,31,44},3066}
        {88,{11,43,34},{11,34,43},3126}
        {88,{11,33,44},{11,33,44},3146}
        {88,{51,22,15},{15,22,51},3310}
        {88,{21,52,15},{12,25,51},3370}
        {88,{51,12,25},{15,21,52},3370}
        {88,{11,52,25},{11,25,52},3450}
        {88,{21,12,55},{12,21,55},3610}
        {88,{11,22,55},{11,22,55},3630}
        {88,{11,61,16},{11,16,61},4098}

        {90,{31,51,26},{13,15,62},4238}
        {90,{21,51,36},{12,15,63},4338}
        {90,{21,31,56},{12,13,65},4538}

        {99,{42,33,24},{24,33,42},3429}
        {99,{32,43,24},{23,34,42},3449}
        {99,{42,23,34},{24,32,43},3449}
        {99,{22,43,34},{22,34,43},3489}
        {99,{32,23,44},{23,32,44},3489}
        {99,{22,33,44},{22,33,44},3509}
        {99,{22,52,25},{22,25,52},3813}
        {99,{41,14,44},{14,41,44},3813}
        {99,{51,33,15},{15,33,51},3915}
        {99,{12,42,45},{21,24,54},3933}
        {99,{21,24,54},{12,42,45},3933}
        {99,{31,53,15},{13,35,51},3995}
        {99,{51,13,35},{15,31,53},3995}
        {99,{11,53,35},{11,35,53},4155}
        {99,{31,13,55},{13,31,55},4155}
        {99,{11,33,55},{11,33,55},4235}
        {99,{61,22,16},{16,22,61},4461}
        {99,{21,62,16},{12,26,61},4541}
        {99,{61,12,26},{16,21,62},4541}
        {99,{11,62,26},{11,26,62},4641}
        {99,{21,12,66},{12,21,66},4941}
        {99,{11,22,66},{11,22,66},4961}
        {99,{11,71,17},{11,17,71},5451}

        {101,{41,42,36},{14,24,63},4741}
        {101,{41,32,46},{14,23,64},4821}
        {101,{31,42,46},{13,24,64},4841}
        {101,{11,51,57},{11,15,75},5971}

        {108,{62,13,15},{26,31,51},4238}
        {108,{12,63,15},{21,36,51},4338}
        {108,{12,13,65},{21,31,56},4538}

        {110,{33,43,34},{33,34,43},4094}
        {110,{42,24,44},{24,42,44},4276}
        {110,{52,33,25},{25,33,52},4418}
        {110,{32,53,25},{23,35,52},4458}
        {110,{52,23,35},{25,32,53},4458}
        {110,{22,53,35},{22,35,53},4518}
        {110,{32,23,55},{23,32,55},4578}
        {110,{22,33,55},{22,33,55},4598}
        {110,{51,44,15},{15,44,51},4762}
        {110,{41,54,15},{14,45,51},4822}
        {110,{51,14,45},{15,41,54},4822}
        {110,{41,14,55},{14,41,55},4902}
        {110,{22,62,26},{22,26,62},5004}
        {110,{11,54,45},{11,45,54},5062}
        {110,{61,33,16},{16,33,61},5066}
        {110,{11,44,55},{11,44,55},5082}
        {110,{31,63,16},{13,36,61},5186}
        {110,{61,13,36},{16,31,63},5186}
        {110,{11,63,36},{11,36,63},5386}
        {110,{31,13,66},{13,31,66},5486}
        {110,{11,33,66},{11,33,66},5566}
        {110,{71,22,17},{17,22,71},5814}
        {110,{21,72,17},{12,27,71},5914}
        {110,{71,12,27},{17,21,72},5914}
        {110,{11,72,27},{11,27,72},6034}
        {110,{21,12,77},{12,21,77},6514}
        {110,{11,22,77},{11,22,77},6534}
        {110,{11,81,18},{11,18,81},7006}

        {112,{51,52,27},{15,25,72},6034}
        {112,{61,32,37},{16,23,73},6114}
        {112,{31,62,37},{13,26,73},6174}
        {112,{51,22,57},{15,22,75},6334}
        {112,{21,52,57},{12,25,75},6394}
        {112,{31,32,67},{13,23,76},6474}
        {112,{41,71,18},{14,17,81},7046}
        {112,{11,71,48},{11,17,84},7466}
        {112,{11,41,78},{11,14,87},7886}

        {114,{41,51,58},{14,15,85},7646}

        {119,{63,14,24},{36,41,42},4741}
        {119,{23,14,64},{32,41,46},4821}
        {119,{13,24,64},{31,42,46},4841}
        {119,{11,15,75},{11,51,57},5971}

        {121,{43,34,44},{34,43,44},4941}
        {121,{33,53,35},{33,35,53},5123}
        {121,{52,44,25},{25,44,52},5265}
        {121,{42,54,25},{24,45,52},5305}
        {121,{52,24,45},{25,42,54},5305}
        {121,{42,24,55},{24,42,55},5365}
        {121,{22,54,45},{22,45,54},5425}
        {121,{22,44,55},{22,44,55},5445}
        {121,{62,33,26},{26,33,62},5609}
        {121,{32,63,26},{23,36,62},5669}
        {121,{62,23,36},{26,32,63},5669}
        {121,{22,63,36},{22,36,63},5749}
        {121,{51,15,55},{15,51,55},5851}
        {121,{32,23,66},{23,32,66},5909}
        {121,{61,44,16},{16,44,61},5913}
        {121,{22,33,66},{22,33,66},5929}
        {121,{41,64,16},{14,46,61},6033}
        {121,{61,14,46},{16,41,64},6033}
        {121,{41,14,66},{14,41,66},6233}
        {121,{11,64,46},{11,46,64},6333}
        {121,{22,72,27},{22,27,72},6397}
        {121,{11,44,66},{11,44,66},6413}
        {121,{71,33,17},{17,33,71},6419}
        {121,{31,73,17},{13,37,71},6579}
        {121,{71,13,37},{17,31,73},6579}
        {121,{11,73,37},{11,37,73},6819}
        {121,{31,13,77},{13,31,77},7059}
        {121,{11,33,77},{11,33,77},7139}
        {121,{81,22,18},{18,22,81},7369}
        {121,{21,82,18},{12,28,81},7489}
        {121,{81,12,28},{18,21,82},7489}
        {121,{11,82,28},{11,28,82},7629}
        {121,{21,12,88},{12,21,88},8329}
        {121,{11,22,88},{11,22,88},8349}
        {121,{11,91,19},{11,19,91},8763}

        {123,{42,52,47},{24,25,74},6677}
        {123,{51,53,37},{15,35,73},6779}
        {123,{51,33,57},{15,33,75},6939}
        {123,{31,53,57},{13,35,75},7019}
        {123,{71,42,28},{17,24,82},7589}
        {123,{41,72,28},{14,27,82},7649}
        {123,{71,22,48},{17,22,84},7829}
        {123,{21,72,48},{12,27,84},7929}
        {123,{41,22,78},{14,22,87},8249}
        {123,{21,42,78},{12,24,87},8289}

        {125,{51,71,39},{15,17,93},9163}
        {125,{31,71,59},{13,17,95},9483}
        {125,{31,51,79},{13,15,97},9803}

        {130,{72,15,25},{27,51,52},6034}
        {130,{23,73,16},{32,37,61},6114}
        {130,{13,73,26},{31,37,62},6174}
        {130,{22,15,75},{22,51,57},6334}
        {130,{12,25,75},{21,52,57},6394}
        {130,{13,23,76},{31,32,67},6474}
        {130,{81,14,17},{18,41,71},7046}
        {130,{11,84,17},{11,48,71},7466}
        {130,{11,14,87},{11,41,78},7886}

        {132,{53,44,35},{35,44,53},5970}
        {132,{43,54,35},{34,45,53},5990}
        {132,{53,34,45},{35,43,54},5990}
        {132,{33,54,45},{33,45,54},6030}
        {132,{43,34,55},{34,43,55},6030}
        {132,{33,44,55},{33,44,55},6050}
        {132,{33,63,36},{33,36,63},6354}
        {132,{52,25,55},{25,52,55},6354}
        {132,{62,44,26},{26,44,62},6456}
        {132,{23,53,56},{32,35,65},6474}
        {132,{32,35,65},{23,53,56},6474}
        {132,{42,64,26},{24,46,62},6536}
        {132,{62,24,46},{26,42,64},6536}
        {132,{22,64,46},{22,46,64},6696}
        {132,{42,24,66},{24,42,66},6696}
        {132,{22,44,66},{22,44,66},6776}
        {132,{62,53,17},{26,35,71},6942}
        {132,{71,35,26},{17,53,62},6942}
        {132,{52,63,17},{25,36,71},6962}
        {132,{71,25,36},{17,52,63},6962}
        {132,{61,55,16},{16,55,61},7002}
        {132,{72,33,27},{27,33,72},7002}
        {132,{32,73,27},{23,37,72},7082}
        {132,{51,65,16},{15,56,61},7082}
        {132,{61,15,56},{16,51,65},7082}
        {132,{72,23,37},{27,32,73},7082}
        {132,{22,73,37},{22,37,73},7182}
        {132,{51,15,66},{15,51,66},7182}
        {132,{31,75,26},{13,57,62},7262}
        {132,{62,13,57},{26,31,75},7262}
        {132,{71,44,17},{17,44,71},7266}
        {132,{12,63,57},{21,36,75},7362}
        {132,{21,75,36},{12,57,63},7362}
        {132,{31,25,76},{13,52,67},7362}
        {132,{52,13,67},{25,31,76},7362}
        {132,{12,53,67},{21,35,76},7442}
        {132,{21,35,76},{12,53,67},7442}
        {132,{41,74,17},{14,47,71},7446}
        {132,{71,14,47},{17,41,74},7446}
        {132,{11,65,56},{11,56,65},7482}
        {132,{32,23,77},{23,32,77},7482}
        {132,{11,55,66},{11,55,66},7502}
        {132,{22,33,77},{22,33,77},7502}
        {132,{11,74,47},{11,47,74},7806}
        {132,{41,14,77},{14,41,77},7806}
        {132,{81,33,18},{18,33,81},7974}
        {132,{11,44,77},{11,44,77},7986}
        {132,{22,82,28},{22,28,82},7992}
        {132,{31,83,18},{13,38,81},8174}
        {132,{81,13,38},{18,31,83},8174}
        {132,{11,83,38},{11,38,83},8454}
        {132,{31,13,88},{13,31,88},8874}
        {132,{11,33,88},{11,33,88},8954}
        {132,{91,22,19},{19,22,91},9126}
        {132,{21,92,19},{12,29,91},9266}
        {132,{91,12,29},{19,21,92},9266}
        {132,{11,92,29},{11,29,92},9426}
        {132,{21,12,99},{12,21,99},10386}
        {132,{11,22,99},{11,22,99},10406}

        {134,{51,54,47},{15,45,74},7726}
        {134,{51,44,57},{15,44,75},7786}
        {134,{41,54,57},{14,45,75},7846}
        {134,{71,43,38},{17,34,83},8334}
        {134,{71,33,48},{17,33,84},8434}
        {134,{41,73,38},{14,37,83},8454}
        {134,{31,73,48},{13,37,84},8594}
        {134,{41,33,78},{14,33,87},8854}
        {134,{31,43,78},{13,34,87},8894}
        {134,{71,62,19},{17,26,91},9246}
        {134,{61,72,19},{16,27,91},9266}
        {134,{71,12,69},{17,21,96},9946}
        {134,{11,72,69},{11,27,96},10066}
        {134,{61,12,79},{16,21,97},10106}
        {134,{11,62,79},{11,26,97},10206}

        {136,{61,52,59},{16,25,95},9906}
        {136,{51,62,59},{15,26,95},9926}
        {136,{51,52,69},{15,25,96},10066}

        {141,{24,74,25},{42,47,52},6677}
        {141,{73,15,35},{37,51,53},6779}
        {141,{33,15,75},{33,51,57},6939}
        {141,{13,35,75},{31,53,57},7019}
        {141,{82,24,17},{28,42,71},7589}
        {141,{82,14,27},{28,41,72},7649}
        {141,{22,84,17},{22,48,71},7829}
        {141,{12,84,27},{21,48,72},7929}
        {141,{22,14,87},{22,41,78},8249}
        {141,{12,24,87},{21,42,78},8289}

        {143,{44,54,45},{44,45,54},6877}
        {143,{53,35,55},{35,53,55},7059}
        {143,{63,44,36},{36,44,63},7201}
        {143,{43,64,36},{34,46,63},7241}
        {143,{63,34,46},{36,43,64},7241}
        {143,{33,64,46},{33,46,64},7301}
        {143,{43,34,66},{34,43,66},7361}
        {143,{33,44,66},{33,44,66},7381}
        {143,{62,55,26},{26,55,62},7545}
        {143,{52,65,26},{25,56,62},7605}
        {143,{62,25,56},{26,52,65},7605}
        {143,{52,25,66},{25,52,66},7685}
        {143,{33,73,37},{33,37,73},7787}
        {143,{22,65,56},{22,56,65},7845}
        {143,{72,44,27},{27,44,72},7849}
        {143,{22,55,66},{22,55,66},7865}
        {143,{42,74,27},{24,47,72},7969}
        {143,{72,24,47},{27,42,74},7969}
        {143,{22,74,47},{22,47,74},8169}
        {143,{42,24,77},{24,42,77},8269}
        {143,{61,16,66},{16,61,66},8333}
        {143,{22,44,77},{22,44,77},8349}
        {143,{71,55,17},{17,55,71},8355}
        {143,{51,75,17},{15,57,71},8515}
        {143,{71,15,57},{17,51,75},8515}
        {143,{82,33,28},{28,33,82},8597}
        {143,{32,83,28},{23,38,82},8697}
        {143,{82,23,38},{28,32,83},8697}
        {143,{51,15,77},{15,51,77},8755}
        {143,{22,83,38},{22,38,83},8817}
        {143,{81,44,18},{18,44,81},8821}
        {143,{11,75,57},{11,57,75},8995}
        {143,{41,84,18},{14,48,81},9061}
        {143,{81,14,48},{18,41,84},9061}
        {143,{11,55,77},{11,55,77},9075}
        {143,{32,23,88},{23,32,88},9297}
        {143,{22,33,88},{22,33,88},9317}
        {143,{11,84,48},{11,48,84},9481}
        {143,{41,14,88},{14,41,88},9621}
        {143,{91,33,19},{19,33,91},9731}
        {143,{22,92,29},{22,29,92},9789}
        {143,{11,44,88},{11,44,88},9801}
        {143,{31,93,19},{13,39,91},9971}
        {143,{91,13,39},{19,31,93},9971}
        {143,{11,93,39},{11,39,93},10291}
        {143,{31,13,99},{13,31,99},10931}
        {143,{11,33,99},{11,33,99},11011}

        {145,{51,55,57},{15,55,75},8875}
        {145,{62,53,48},{26,35,84},8957}
        {145,{52,63,48},{25,36,84},8977}
        {145,{62,43,58},{26,34,85},9057}
        {145,{42,63,58},{24,36,85},9097}
        {145,{52,43,68},{25,34,86},9177}
        {145,{42,53,68},{24,35,86},9197}
        {145,{61,64,38},{16,46,83},9261}
        {145,{71,44,48},{17,44,84},9281}
        {145,{41,74,48},{14,47,84},9461}
        {145,{61,34,68},{16,43,86},9501}
        {145,{31,64,68},{13,46,86},9681}
        {145,{41,44,78},{14,44,87},9701}
        {145,{62,72,29},{26,27,92},9869}
        {145,{42,82,39},{24,28,93},10009}
        {145,{32,82,49},{23,28,94},10149}
        {145,{22,72,69},{22,27,96},10429}
        {145,{22,62,79},{22,26,97},10569}
        {145,{32,42,89},{23,24,98},10709}

        {150,{14,15,85},{41,51,58},7646}

        {152,{74,15,45},{47,51,54},7726}
        {152,{44,15,75},{44,51,57},7786}
        {152,{14,45,75},{41,54,57},7846}
        {152,{83,34,17},{38,43,71},8334}
        {152,{33,84,17},{33,48,71},8434}
        {152,{83,14,37},{38,41,73},8454}
        {152,{13,84,37},{31,48,73},8594}
        {152,{33,14,87},{33,41,78},8854}
        {152,{13,34,87},{31,43,78},8894}
        {152,{91,26,17},{19,62,71},9246}
        {152,{91,16,27},{19,61,72},9266}
        {152,{21,96,17},{12,69,71},9946}
        {152,{11,96,27},{11,69,72},10066}
        {152,{21,16,97},{12,61,79},10106}
        {152,{11,26,97},{11,62,79},10206}

        {154,{54,45,55},{45,54,55},7966}
        {154,{44,64,46},{44,46,64},8148}
        {154,{63,55,36},{36,55,63},8290}
        {154,{53,65,36},{35,56,63},8330}
        {154,{63,35,56},{36,53,65},8330}
        {154,{53,35,66},{35,53,66},8390}
        {154,{33,65,56},{33,56,65},8450}
        {154,{33,55,66},{33,55,66},8470}
        {154,{73,44,37},{37,44,73},8634}
        {154,{43,74,37},{34,47,73},8694}
        {154,{73,34,47},{37,43,74},8694}
        {154,{33,74,47},{33,47,74},8774}
        {154,{62,26,66},{26,62,66},8876}
        {154,{43,34,77},{34,43,77},8934}
        {154,{72,55,27},{27,55,72},8938}
        {154,{33,44,77},{33,44,77},8954}
        {154,{52,75,27},{25,57,72},9058}
        {154,{72,25,57},{27,52,75},9058}
        {154,{52,25,77},{25,52,77},9258}
        {154,{22,75,57},{22,57,75},9358}
        {154,{33,83,38},{33,38,83},9422}
        {154,{22,55,77},{22,55,77},9438}
        {154,{82,44,28},{28,44,82},9444}
        {154,{42,84,28},{24,48,82},9604}
        {154,{82,24,48},{28,42,84},9604}
        {154,{71,66,17},{17,66,71},9686}
        {154,{61,76,17},{16,67,71},9786}
        {154,{71,16,67},{17,61,76},9786}
        {154,{22,84,48},{22,48,84},9844}
        {154,{61,16,77},{16,61,77},9906}
        {154,{81,55,18},{18,55,81},9910}
        {154,{42,24,88},{24,42,88},10084}
        {154,{51,85,18},{15,58,81},10150}
        {154,{81,15,58},{18,51,85},10150}
        {154,{22,44,88},{22,44,88},10164}
        {154,{11,76,67},{11,67,76},10386}
        {154,{92,33,29},{29,33,92},10394}
        {154,{11,66,77},{11,66,77},10406}
        {154,{32,93,29},{23,39,92},10514}
        {154,{92,23,39},{29,32,93},10514}
        {154,{51,15,88},{15,51,88},10570}
        {154,{91,44,19},{19,44,91},10578}
        {154,{22,93,39},{22,39,93},10654}
        {154,{11,85,58},{11,58,85},10710}
        {154,{41,94,19},{14,49,91},10878}
        {154,{91,14,49},{19,41,94},10878}
        {154,{11,55,88},{11,55,88},10890}
        {154,{32,23,99},{23,32,99},11354}
        {154,{11,94,49},{11,49,94},11358}
        {154,{22,33,99},{22,33,99},11374}
        {154,{41,14,99},{14,41,99},11678}
        {154,{11,44,99},{11,44,99},11858}

        {156,{61,56,57},{16,65,75},10106}
        {156,{51,66,57},{15,66,75},10206}
        {156,{51,56,67},{15,65,76},10226}
        {156,{71,55,48},{17,55,84},10370}
        {156,{71,45,58},{17,54,85},10430}
        {156,{51,75,48},{15,57,84},10530}
        {156,{41,75,58},{14,57,85},10670}
        {156,{72,63,39},{27,36,93},10674}
        {156,{62,73,39},{26,37,93},10694}
        {156,{51,45,78},{15,54,87},10710}
        {156,{41,55,78},{14,55,87},10790}
        {156,{81,54,39},{18,45,93},10998}
        {156,{72,33,69},{27,33,96},11034}
        {156,{32,73,69},{23,37,96},11114}
        {156,{62,33,79},{26,33,97},11174}
        {156,{51,84,39},{15,48,93},11178}
        {156,{81,34,59},{18,43,95},11198}
        {156,{32,63,79},{23,36,97},11234}
        {156,{31,84,59},{13,48,95},11498}
        {156,{51,34,89},{15,43,98},11678}
        {156,{31,54,89},{13,45,98},11798}

        {161,{93,15,17},{39,51,71},9163}
        {161,{13,95,17},{31,59,71},9483}
        {161,{13,15,97},{31,51,79},9803}

        {163,{15,55,75},{51,55,57},8875}
        {163,{84,35,26},{48,53,62},8957}
        {163,{84,25,36},{48,52,63},8977}
        {163,{34,85,26},{43,58,62},9057}
        {163,{24,85,36},{42,58,63},9097}
        {163,{34,25,86},{43,52,68},9177}
        {163,{24,35,86},{42,53,68},9197}
        {163,{83,16,46},{38,61,64},9261}
        {163,{44,84,17},{44,48,71},9281}
        {163,{14,84,47},{41,48,74},9461}
        {163,{43,16,86},{34,61,68},9501}
        {163,{13,46,86},{31,64,68},9681}
        {163,{14,44,87},{41,44,78},9701}
        {163,{92,26,27},{29,62,72},9869}
        {163,{93,24,28},{39,42,82},10009}
        {163,{23,94,28},{32,49,82},10149}
        {163,{22,96,27},{22,69,72},10429}
        {163,{22,26,97},{22,62,79},10569}
        {163,{23,24,98},{32,42,89},10709}

        {165,{64,55,46},{46,55,64},9237}
        {165,{54,65,46},{45,56,64},9257}
        {165,{64,45,56},{46,54,65},9257}
        {165,{44,65,56},{44,56,65},9297}
        {165,{54,45,66},{45,54,66},9297}
        {165,{44,55,66},{44,55,66},9317}
        {165,{44,74,47},{44,47,74},9621}
        {165,{63,36,66},{36,63,66},9621}
        {165,{73,55,37},{37,55,73},9723}
        {165,{34,64,67},{43,46,76},9741}
        {165,{43,46,76},{34,64,67},9741}
        {165,{53,75,37},{35,57,73},9803}
        {165,{73,35,57},{37,53,75},9803}
        {165,{33,75,57},{33,57,75},9963}
        {165,{53,35,77},{35,53,77},9963}
        {165,{33,55,77},{33,55,77},10043}
        {165,{73,64,28},{37,46,82},10209}
        {165,{82,46,37},{28,64,73},10209}
        {165,{63,74,28},{36,47,82},10229}
        {165,{82,36,47},{28,63,74},10229}
        {165,{72,66,27},{27,66,72},10269}
        {165,{83,44,38},{38,44,83},10269}
        {165,{43,84,38},{34,48,83},10349}
        {165,{62,76,27},{26,67,72},10349}
        {165,{72,26,67},{27,62,76},10349}
        {165,{83,34,48},{38,43,84},10349}
        {165,{33,84,48},{33,48,84},10449}
        {165,{62,26,77},{26,62,77},10449}
        {165,{42,86,37},{24,68,73},10529}
        {165,{73,24,68},{37,42,86},10529}
        {165,{82,55,28},{28,55,82},10533}
        {165,{23,74,68},{32,47,86},10629}
        {165,{32,86,47},{23,68,74},10629}
        {165,{42,36,87},{24,63,78},10629}
        {165,{63,24,78},{36,42,87},10629}
        {165,{23,64,78},{32,46,87},10709}
        {165,{32,46,87},{23,64,78},10709}
        {165,{52,85,28},{25,58,82},10713}
        {165,{82,25,58},{28,52,85},10713}
        {165,{22,76,67},{22,67,76},10749}
        {165,{43,34,88},{34,43,88},10749}
        {165,{22,66,77},{22,66,77},10769}
        {165,{33,44,88},{33,44,88},10769}
        {165,{22,85,58},{22,58,85},11073}
        {165,{52,25,88},{25,52,88},11073}
        {165,{82,64,19},{28,46,91},11181}
        {165,{91,46,28},{19,64,82},11181}
        {165,{81,66,18},{18,66,81},11241}
        {165,{92,44,29},{29,44,92},11241}
        {165,{22,55,88},{22,55,88},11253}
        {165,{33,93,39},{33,39,93},11259}
        {165,{71,17,77},{17,71,77},11259}
        {165,{62,84,19},{26,48,91},11261}
        {165,{91,26,48},{19,62,84},11261}
        {165,{42,94,29},{24,49,92},11441}
        {165,{61,86,18},{16,68,81},11441}
        {165,{81,16,68},{18,61,86},11441}
        {165,{92,24,49},{29,42,94},11441}
        {165,{91,55,19},{19,55,91},11667}
        {165,{41,96,28},{14,69,82},11681}
        {165,{82,14,69},{28,41,96},11681}
        {165,{22,94,49},{22,49,94},11721}
        {165,{61,16,88},{16,61,88},11721}
        {165,{13,73,79},{31,37,97},11739}
        {165,{31,37,97},{13,73,79},11739}
        {165,{12,84,69},{21,48,96},11961}
        {165,{21,96,48},{12,69,84},11961}
        {165,{41,26,98},{14,62,89},11961}
        {165,{62,14,89},{26,41,98},11961}
        {165,{51,95,19},{15,59,91},11987}
        {165,{91,15,59},{19,51,95},11987}
        {165,{11,86,68},{11,68,86},12141}
        {165,{42,24,99},{24,42,99},12141}
        {165,{12,64,89},{21,46,98},12161}
        {165,{21,46,98},{12,64,89},12161}
        {165,{11,66,88},{11,66,88},12221}
        {165,{22,44,99},{22,44,99},12221}
        {165,{11,95,59},{11,59,95},12627}
        {165,{51,15,99},{15,51,99},12627}
        {165,{11,55,99},{11,55,99},12947}

        {167,{53,73,59},{35,37,95},11619}
        {167,{72,64,49},{27,46,94},11681}
        {167,{71,66,48},{17,66,84},11701}
        {167,{62,74,49},{26,47,94},11721}
        {167,{51,57,77},{15,75,77},11779}
        {167,{71,46,68},{17,64,86},11781}
        {167,{61,76,48},{16,67,84},11801}
        {167,{72,44,69},{27,44,96},11881}
        {167,{61,46,78},{16,64,87},11921}
        {167,{42,74,69},{24,47,96},12001}
        {167,{62,44,79},{26,44,97},12021}
        {167,{41,76,68},{14,67,86},12081}
        {167,{42,64,79},{24,46,97},12101}
        {167,{41,66,78},{14,66,87},12121}
        {167,{71,75,39},{17,57,93},12187}
        {167,{71,35,79},{17,53,97},12507}
        {167,{31,75,79},{13,57,97},12827}

        {172,{25,95,16},{52,59,61},9906}
        {172,{15,95,26},{51,59,62},9926}
        {172,{15,25,96},{51,52,69},10066}

        {174,{65,75,16},{56,57,61},10106}
        {174,{15,75,66},{51,57,66},10206}
        {174,{15,65,76},{51,56,67},10226}
        {174,{84,55,17},{48,55,71},10370}
        {174,{54,85,17},{45,58,71},10430}
        {174,{84,15,57},{48,51,75},10530}
        {174,{14,85,57},{41,58,75},10670}
        {174,{93,36,27},{39,63,72},10674}
        {174,{93,26,37},{39,62,73},10694}
        {174,{54,15,87},{45,51,78},10710}
        {174,{14,55,87},{41,55,78},10790}
        {174,{93,45,18},{39,54,81},10998}
        {174,{33,96,27},{33,69,72},11034}
        {174,{23,96,37},{32,69,73},11114}
        {174,{33,26,97},{33,62,79},11174}
        {174,{93,15,48},{39,51,84},11178}
        {174,{43,95,18},{34,59,81},11198}
        {174,{23,36,97},{32,63,79},11234}
        {174,{13,95,48},{31,59,84},11498}
        {174,{43,15,98},{34,51,89},11678}
        {174,{13,45,98},{31,54,89},11798}

        {176,{55,65,56},{55,56,65},10386}
        {176,{64,46,66},{46,64,66},10568}
        {176,{74,55,47},{47,55,74},10710}
        {176,{54,75,47},{45,57,74},10750}
        {176,{74,45,57},{47,54,75},10750}
        {176,{44,75,57},{44,57,75},10810}
        {176,{54,45,77},{45,54,77},10870}
        {176,{44,55,77},{44,55,77},10890}
        {176,{73,66,37},{37,66,73},11054}
        {176,{63,76,37},{36,67,73},11114}
        {176,{73,36,67},{37,63,76},11114}
        {176,{63,36,77},{36,63,77},11194}
        {176,{44,84,48},{44,48,84},11296}
        {176,{33,76,67},{33,67,76},11354}
        {176,{83,55,38},{38,55,83},11358}
        {176,{33,66,77},{33,66,77},11374}
        {176,{53,85,38},{35,58,83},11478}
        {176,{83,35,58},{38,53,85},11478}
        {176,{33,85,58},{33,58,85},11678}
        {176,{53,35,88},{35,53,88},11778}
        {176,{72,27,77},{27,72,77},11842}
        {176,{33,55,88},{33,55,88},11858}
        {176,{82,66,28},{28,66,82},11864}
        {176,{62,86,28},{26,68,82},12024}
        {176,{82,26,68},{28,62,86},12024}
        {176,{93,44,39},{39,44,93},12106}
        {176,{43,94,39},{34,49,93},12206}
        {176,{93,34,49},{39,43,94},12206}
        {176,{62,26,88},{26,62,88},12264}
        {176,{33,94,49},{33,49,94},12326}
        {176,{92,55,29},{29,55,92},12330}
        {176,{22,86,68},{22,68,86},12504}
        {176,{52,95,29},{25,59,92},12570}
        {176,{92,25,59},{29,52,95},12570}
        {176,{22,66,88},{22,66,88},12584}
        {176,{43,34,99},{34,43,99},12806}
        {176,{81,77,18},{18,77,81},12814}
        {176,{33,44,99},{33,44,99},12826}
        {176,{71,87,18},{17,78,81},12934}
        {176,{81,17,78},{18,71,87},12934}
        {176,{22,95,59},{22,59,95},12990}
        {176,{91,66,19},{19,66,91},12998}
        {176,{71,17,88},{17,71,88},13074}
        {176,{52,25,99},{25,52,99},13130}
        {176,{61,96,19},{16,69,91},13298}
        {176,{91,16,69},{19,61,96},13298}
        {176,{22,55,99},{22,55,99},13310}
        {176,{11,87,78},{11,78,87},13774}
        {176,{61,16,99},{16,61,99},13778}
        {176,{11,77,88},{11,77,88},13794}
        {176,{11,96,69},{11,69,96},14098}
        {176,{11,66,99},{11,66,99},14278}

        {178,{72,65,59},{27,56,95},12890}
        {178,{62,75,59},{26,57,95},12950}
        {178,{72,55,69},{27,55,96},12970}
        {178,{52,75,69},{25,57,96},13090}
        {178,{62,55,79},{26,55,97},13110}
        {178,{52,65,79},{25,56,97},13170}
        {178,{81,57,58},{18,75,85},13174}
        {178,{71,77,48},{17,77,84},13274}
        {178,{71,47,78},{17,74,87},13334}
        {178,{51,87,58},{15,78,85},13534}
        {178,{51,57,88},{15,75,88},13594}
        {178,{41,77,78},{14,77,87},13694}

        {185,{35,95,37},{53,59,73},11619}
        {185,{94,46,27},{49,64,72},11681}
        {185,{84,66,17},{48,66,71},11701}
        {185,{94,26,47},{49,62,74},11721}
        {185,{15,75,77},{51,57,77},11779}
        {185,{64,86,17},{46,68,71},11781}
        {185,{84,16,67},{48,61,76},11801}
        {185,{44,96,27},{44,69,72},11881}
        {185,{64,16,87},{46,61,78},11921}
        {185,{24,96,47},{42,69,74},12001}
        {185,{44,26,97},{44,62,79},12021}
        {185,{14,86,67},{41,68,76},12081}
        {185,{24,46,97},{42,64,79},12101}
        {185,{14,66,87},{41,66,78},12121}
        {185,{93,17,57},{39,71,75},12187}
        {185,{53,17,97},{35,71,79},12507}
        {185,{13,57,97},{31,75,79},12827}

        {187,{65,56,66},{56,65,66},11717}
        {187,{55,75,57},{55,57,75},11899}
        {187,{74,66,47},{47,66,74},12041}
        {187,{64,76,47},{46,67,74},12081}
        {187,{74,46,67},{47,64,76},12081}
        {187,{64,46,77},{46,64,77},12141}
        {187,{44,76,67},{44,67,76},12201}
        {187,{44,66,77},{44,66,77},12221}
        {187,{84,55,48},{48,55,84},12385}
        {187,{54,85,48},{45,58,84},12445}
        {187,{84,45,58},{48,54,85},12445}
        {187,{44,85,58},{44,58,85},12525}
        {187,{73,37,77},{37,73,77},12627}
        {187,{54,45,88},{45,54,88},12685}
        {187,{83,66,38},{38,66,83},12689}
        {187,{44,55,88},{44,55,88},12705}
        {187,{63,86,38},{36,68,83},12809}
        {187,{83,36,68},{38,63,86},12809}
        {187,{63,36,88},{36,63,88},13009}
        {187,{33,86,68},{33,68,86},13109}
        {187,{44,94,49},{44,49,94},13173}
        {187,{33,66,88},{33,66,88},13189}
        {187,{93,55,39},{39,55,93},13195}
        {187,{53,95,39},{35,59,93},13355}
        {187,{93,35,59},{39,53,95},13355}
        {187,{82,77,28},{28,77,82},13437}
        {187,{72,87,28},{27,78,82},13537}
        {187,{82,27,78},{28,72,87},13537}
        {187,{33,95,59},{33,59,95},13595}
        {187,{72,27,88},{27,72,88},13657}
        {187,{92,66,29},{29,66,92},13661}
        {187,{53,35,99},{35,53,99},13835}
        {187,{62,96,29},{26,69,92},13901}
        {187,{92,26,69},{29,62,96},13901}
        {187,{33,55,99},{33,55,99},13915}
        {187,{22,87,78},{22,78,87},14137}
        {187,{22,77,88},{22,77,88},14157}
        {187,{62,26,99},{26,62,99},14321}
        {187,{22,96,69},{22,69,96},14461}
        {187,{91,77,19},{19,77,91},14571}
        {187,{81,18,88},{18,81,88},14629}
        {187,{22,66,99},{22,66,99},14641}
        {187,{71,97,19},{17,79,91},14811}
        {187,{91,17,79},{19,71,97},14811}
        {187,{71,17,99},{17,71,99},15131}
        {187,{11,97,79},{11,79,97},15771}
        {187,{11,77,99},{11,77,99},15851}

        {189,{72,66,69},{27,66,96},14301}
        {189,{62,76,69},{26,67,96},14381}
        {189,{62,66,79},{26,66,97},14441}
        {189,{81,48,78},{18,84,87},14949}
        {189,{91,57,59},{19,75,95},15011}
        {189,{71,48,88},{17,84,88},15089}
        {189,{51,97,59},{15,79,95},15491}
        {189,{41,78,88},{14,87,88},15509}
        {189,{51,57,99},{15,75,99},15651}

        {196,{95,56,27},{59,65,72},12890}
        {196,{95,26,57},{59,62,75},12950}
        {196,{55,96,27},{55,69,72},12970}
        {196,{25,96,57},{52,69,75},13090}
        {196,{55,26,97},{55,62,79},13110}
        {196,{25,56,97},{52,65,79},13170}
        {196,{75,85,18},{57,58,81},13174}
        {196,{84,17,77},{48,71,77},13274}
        {196,{74,17,87},{47,71,78},13334}
        {196,{15,85,78},{51,58,87},13534}
        {196,{15,75,88},{51,57,88},13594}
        {196,{14,77,87},{41,77,78},13694}

        {198,{75,66,57},{57,66,75},13230}
        {198,{65,76,57},{56,67,75},13250}
        {198,{75,56,67},{57,65,76},13250}
        {198,{55,76,67},{55,67,76},13290}
        {198,{65,56,77},{56,65,77},13290}
        {198,{55,66,77},{55,66,77},13310}
        {198,{55,85,58},{55,58,85},13614}
        {198,{74,47,77},{47,74,77},13614}
        {198,{84,66,48},{48,66,84},13716}
        {198,{45,75,78},{54,57,87},13734}
        {198,{54,57,87},{45,75,78},13734}
        {198,{64,86,48},{46,68,84},13796}
        {198,{84,46,68},{48,64,86},13796}
        {198,{44,86,68},{44,68,86},13956}
        {198,{64,46,88},{46,64,88},13956}
        {198,{44,66,88},{44,66,88},14036}
        {198,{84,75,39},{48,57,93},14202}
        {198,{93,57,48},{39,75,84},14202}
        {198,{74,85,39},{47,58,93},14222}
        {198,{93,47,58},{39,74,85},14222}
        {198,{83,77,38},{38,77,83},14262}
        {198,{94,55,49},{49,55,94},14262}
        {198,{54,95,49},{45,59,94},14342}
        {198,{73,87,38},{37,78,83},14342}
        {198,{83,37,78},{38,73,87},14342}
        {198,{94,45,59},{49,54,95},14342}
        {198,{44,95,59},{44,59,95},14442}
        {198,{73,37,88},{37,73,88},14442}
        {198,{53,97,48},{35,79,84},14522}
        {198,{84,35,79},{48,53,97},14522}
        {198,{93,66,39},{39,66,93},14526}
        {198,{34,85,79},{43,58,97},14622}
        {198,{43,97,58},{34,79,85},14622}
        {198,{53,47,98},{35,74,89},14622}
        {198,{74,35,89},{47,53,98},14622}
        {198,{34,75,89},{43,57,98},14702}
        {198,{43,57,98},{34,75,89},14702}
        {198,{63,96,39},{36,69,93},14706}
        {198,{93,36,69},{39,63,96},14706}
        {198,{33,87,78},{33,78,87},14742}
        {198,{54,45,99},{45,54,99},14742}
        {198,{33,77,88},{33,77,88},14762}
        {198,{44,55,99},{44,55,99},14762}
        {198,{33,96,69},{33,69,96},15066}
        {198,{63,36,99},{36,63,99},15066}
        {198,{92,77,29},{29,77,92},15234}
        {198,{33,66,99},{33,66,99},15246}
        {198,{82,28,88},{28,82,88},15252}
        {198,{72,97,29},{27,79,92},15434}
        {198,{92,27,79},{29,72,97},15434}
        {198,{72,27,99},{27,72,99},15714}
        {198,{22,97,79},{22,79,97},16134}
        {198,{22,77,99},{22,77,99},16214}
        {198,{91,88,19},{19,88,91},16386}
        {198,{81,98,19},{18,89,91},16526}
        {198,{91,18,89},{19,81,98},16526}
        {198,{81,18,99},{18,81,99},16686}
        {198,{11,98,89},{11,89,98},17646}
        {198,{11,88,99},{11,88,99},17666}

        {200,{72,77,69},{27,77,96},15874}
        {200,{72,67,79},{27,76,97},15914}
        {200,{62,77,79},{26,77,97},16014}
        {200,{91,78,49},{19,87,94},16766}
        {200,{91,48,79},{19,84,97},16826}
        {200,{71,98,49},{17,89,94},17046}
        {200,{71,48,99},{17,84,99},17146}
        {200,{41,98,79},{14,89,97},17526}
        {200,{41,78,99},{14,87,99},17566}

        {207,{66,96,27},{66,69,72},14301}
        {207,{26,96,67},{62,69,76},14381}
        {207,{26,66,97},{62,66,79},14441}
        {207,{84,87,18},{48,78,81},14949}
        {207,{75,95,19},{57,59,91},15011}
        {207,{84,17,88},{48,71,88},15089}
        {207,{15,95,79},{51,59,97},15491}
        {207,{14,87,88},{41,78,88},15509}
        {207,{15,75,99},{51,57,99},15651}

        {209,{66,76,67},{66,67,76},14621}
        {209,{75,57,77},{57,75,77},14803}
        {209,{85,66,58},{58,66,85},14945}
        {209,{65,86,58},{56,68,85},14985}
        {209,{85,56,68},{58,65,86},14985}
        {209,{55,86,68},{55,68,86},15045}
        {209,{65,56,88},{56,65,88},15105}
        {209,{55,66,88},{55,66,88},15125}
        {209,{84,77,48},{48,77,84},15289}
        {209,{74,87,48},{47,78,84},15349}
        {209,{84,47,78},{48,74,87},15349}
        {209,{74,47,88},{47,74,88},15429}
        {209,{55,95,59},{55,59,95},15531}
        {209,{44,87,78},{44,78,87},15589}
        {209,{94,66,49},{49,66,94},15593}
        {209,{44,77,88},{44,77,88},15609}
        {209,{64,96,49},{46,69,94},15713}
        {209,{94,46,69},{49,64,96},15713}
        {209,{44,96,69},{44,69,96},15913}
        {209,{64,46,99},{46,64,99},16013}
        {209,{83,38,88},{38,83,88},16077}
        {209,{44,66,99},{44,66,99},16093}
        {209,{93,77,39},{39,77,93},16099}
        {209,{73,97,39},{37,79,93},16259}
        {209,{93,37,79},{39,73,97},16259}
        {209,{73,37,99},{37,73,99},16499}
        {209,{33,97,79},{33,79,97},16739}
        {209,{33,77,99},{33,77,99},16819}
        {209,{92,88,29},{29,88,92},17049}
        {209,{82,98,29},{28,89,92},17169}
        {209,{92,28,89},{29,82,98},17169}
        {209,{82,28,99},{28,82,99},17309}
        {209,{22,98,89},{22,89,98},18009}
        {209,{22,88,99},{22,88,99},18029}
        {209,{91,19,99},{19,91,99},18443}

        {211,{82,78,69},{28,87,96},17569}
        {211,{82,68,79},{28,86,97},17589}
        {211,{72,88,69},{27,88,96},17689}
        {211,{72,68,89},{27,86,98},17729}
        {211,{62,88,79},{26,88,97},17829}
        {211,{62,78,89},{26,87,98},17849}

        {218,{96,27,77},{69,72,77},15874}
        {218,{76,27,97},{67,72,79},15914}
        {218,{26,77,97},{62,77,79},16014}
        {218,{94,87,19},{49,78,91},16766}
        {218,{84,97,19},{48,79,91},16826}
        {218,{94,17,89},{49,71,98},17046}
        {218,{84,17,99},{48,71,99},17146}
        {218,{14,97,89},{41,79,98},17526}
        {218,{14,87,99},{41,78,99},17566}

        {220,{76,67,77},{67,76,77},16194}
        {220,{66,86,68},{66,68,86},16376}
        {220,{85,77,58},{58,77,85},16518}
        {220,{75,87,58},{57,78,85},16558}
        {220,{85,57,78},{58,75,87},16558}
        {220,{75,57,88},{57,75,88},16618}
        {220,{55,87,78},{55,78,87},16678}
        {220,{55,77,88},{55,77,88},16698}
        {220,{95,66,59},{59,66,95},16862}
        {220,{65,96,59},{56,69,95},16922}
        {220,{95,56,69},{59,65,96},16922}
        {220,{55,96,69},{55,69,96},17002}
        {220,{84,48,88},{48,84,88},17104}
        {220,{65,56,99},{56,65,99},17162}
        {220,{94,77,49},{49,77,94},17166}
        {220,{55,66,99},{55,66,99},17182}
        {220,{74,97,49},{47,79,94},17286}
        {220,{94,47,79},{49,74,97},17286}
        {220,{74,47,99},{47,74,99},17486}
        {220,{44,97,79},{44,79,97},17586}
        {220,{44,77,99},{44,77,99},17666}
        {220,{93,88,39},{39,88,93},17914}
        {220,{83,98,39},{38,89,93},18014}
        {220,{93,38,89},{39,83,98},18014}
        {220,{83,38,99},{38,83,99},18134}
        {220,{33,98,89},{33,89,98},18614}
        {220,{33,88,99},{33,88,99},18634}
        {220,{92,29,99},{29,92,99},19106}

        {222,{92,69,79},{29,96,97},19466}
        {222,{72,69,99},{27,96,99},19746}
        {222,{62,79,99},{26,97,99},19886}

        {229,{96,87,28},{69,78,82},17569}
        {229,{86,97,28},{68,79,82},17589}
        {229,{96,27,88},{69,72,88},17689}
        {229,{86,27,98},{68,72,89},17729}
        {229,{26,97,88},{62,79,88},17829}
        {229,{26,87,98},{62,78,89},17849}

        {231,{86,77,68},{68,77,86},17949}
        {231,{76,87,68},{67,78,86},17969}
        {231,{86,67,78},{68,76,87},17969}
        {231,{66,87,78},{66,78,87},18009}
        {231,{76,67,88},{67,76,88},18009}
        {231,{66,77,88},{66,77,88},18029}
        {231,{66,96,69},{66,69,96},18333}
        {231,{85,58,88},{58,85,88},18333}
        {231,{95,77,59},{59,77,95},18435}
        {231,{56,86,89},{65,68,98},18453}
        {231,{65,68,98},{56,86,89},18453}
        {231,{75,97,59},{57,79,95},18515}
        {231,{95,57,79},{59,75,97},18515}
        {231,{55,97,79},{55,79,97},18675}
        {231,{75,57,99},{57,75,99},18675}
        {231,{55,77,99},{55,77,99},18755}
        {231,{94,88,49},{49,88,94},18981}
        {231,{84,98,49},{48,89,94},19061}
        {231,{94,48,89},{49,84,98},19061}
        {231,{84,48,99},{48,84,99},19161}
        {231,{44,98,89},{44,89,98},19461}
        {231,{44,88,99},{44,88,99},19481}
        {231,{93,39,99},{39,93,99},19971}

        {240,{96,97,29},{69,79,92},19466}
        {240,{96,27,99},{69,72,99},19746}
        {240,{26,97,99},{62,79,99},19886}

        {242,{77,87,78},{77,78,87},19582}
        {242,{86,68,88},{68,86,88},19764}
        {242,{96,77,69},{69,77,96},19906}
        {242,{76,97,69},{67,79,96},19946}
        {242,{96,67,79},{69,76,97},19946}
        {242,{66,97,79},{66,79,97},20006}
        {242,{76,67,99},{67,76,99},20066}
        {242,{66,77,99},{66,77,99},20086}
        {242,{95,88,59},{59,88,95},20250}
        {242,{85,98,59},{58,89,95},20310}
        {242,{95,58,89},{59,85,98},20310}
        {242,{85,58,99},{58,85,99},20390}
        {242,{55,98,89},{55,89,98},20550}
        {242,{55,88,99},{55,88,99},20570}
        {242,{94,49,99},{49,94,99},21038}

        {253,{87,78,88},{78,87,88},21397}
        {253,{77,97,79},{77,79,97},21579}
        {253,{96,88,69},{69,88,96},21721}
        {253,{86,98,69},{68,89,96},21761}
        {253,{96,68,89},{69,86,98},21761}
        {253,{86,68,99},{68,86,99},21821}
        {253,{66,98,89},{66,89,98},21881}
        {253,{66,88,99},{66,88,99},21901}
        {253,{95,59,99},{59,95,99},22307}

        {264,{97,88,79},{79,88,97},23394}
        {264,{87,98,79},{78,89,97},23414}
        {264,{97,78,89},{79,87,98},23414}
        {264,{77,98,89},{77,89,98},23454}
        {264,{87,78,99},{78,87,99},23454}
        {264,{77,88,99},{77,88,99},23474}
        {264,{96,69,99},{69,96,99},23778}

        {275,{88,98,89},{88,89,98},25269}
        {275,{97,79,99},{79,97,99},25451}

        {286,{98,89,99},{89,98,99},27326}

        Paul

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