TODO
De-dup the 520 solutions to 65 solutions
i.e. ignore solutions that are just rotations or transpositions of other solutions
Implement DrawSolution functionally (currently, it mutates a 2D array of strings)Use immutable collections throughout
Links
Output
$ dotnet run --project PentominoesApp --no-build
LLLLFYPP
LXFFFYPP
XXXFYYPI
UXU YWI
UUU WWI
VVVZWWTI
VZZZNNTI
VZNNNTTT
--------------------------------------------------------------------------------
LLLLNNPP
LXNNNTPP
XXXTTTPI
UXU TWI
UUU WWI
VVVZWWFI
VZZZYFFI
VZYYYYFF
--------------------------------------------------------------------------------
LLLLNNPP
LXNNNTPP
XXXTTTPY
UXU TYY
UUU WWY
VVVZWWFY
VZZZWFFF
VZIIIIIF
--------------------------------------------------------------------------------
UUULLLLY
UXULNNNY
XXXNNWYY
IXF WWY
IFF ZWW
ITFFVZZZ
ITTTVPPZ
ITVVVPPP
--------------------------------------------------------------------------------
UUUTLLLL
UXUTTTPL
XXXTZZPP
IXF ZPP
IFF ZZY
IVFFWWYY
IVNNNWWY
IVVVNNWY
--------------------------------------------------------------------------------
UUUTYYYY
UXUTTTYP
XXXTZZPP
IXF ZPP
IFF ZZW
IVFFNNWW
IVNNNWWL
IVVVLLLL
--------------------------------------------------------------------------------
UUUTYYYY
UXUTTTYP
XXXTZZPP
IXF ZPP
IFF ZZL
IVFFNNWL
IVNNNWWL
IVVVWWLL
--------------------------------------------------------------------------------
UUULLLLY
UXULNNNY
XXXNNWYY
IXF WWY
IFF ZWW
IVFFTZZZ
IVTTTPPZ
IVVVTPPP
--------------------------------------------------------------------------------
UUULLLLV
UXUPPPLV
XXXPPVVV
IXN ZZY
INN ZYY
INTWZZFY
INTWWFFY
ITTTWWFF
--------------------------------------------------------------------------------
UUUPPVVV
UXUPPPLV
XXXLLLLV
IXN ZZY
INN ZYY
INTWZZFY
INTWWFFY
ITTTWWFF
--------------------------------------------------------------------------------
UUUVLLLL
UXUVLPPP
XXXVVVPP
IXN ZZY
INN ZYY
INTWZZFY
INTWWFFY
ITTTWWFF
--------------------------------------------------------------------------------
UUUVVVFF
UXUVWFFL
XXXVWWFL
IXN WWL
INN ZLL
INTPPZZZ
INTPPPYZ
ITTTYYYY
--------------------------------------------------------------------------------
UUUVVVPP
UXUVLPPP
XXXVLLLL
IXN ZZY
INN ZYY
INTWZZFY
INTWWFFY
ITTTWWFF
--------------------------------------------------------------------------------
UUUVVVZY
UXUVZZZY
XXXVZWYY
IXN WWY
INN FWW
INTPPFFF
INTPPPFL
ITTTLLLL
--------------------------------------------------------------------------------
UUUPPTTT
UXUPPPTY
XXXVVVTY
IXN VYY
INN VFY
INZZWWFF
INZWWFFL
IZZWLLLL
--------------------------------------------------------------------------------
UUUTLLLL
UXUTTTFL
XXXTFFFW
IXN FWW
IYN WWZ
IYNNVZZZ
IYYNVZPP
IYVVVPPP
--------------------------------------------------------------------------------
UUUYYYYF
UXUZYFFF
XXXZZZFW
PXV ZWW
PPV WWT
PPVVVTTT
LLLLNNNT
LIIIIINN
--------------------------------------------------------------------------------
UUUIIIII
UXUPPPWW
XXXPPWWY
NXF WYY
NFF ZZY
NNFFTVZY
LNTTTVZZ
LLLLTVVV
--------------------------------------------------------------------------------
UUUIIIII
UXUZYYYY
XXXZZZYW
NXF ZWW
NFF WWP
NNFFTVPP
LNTTTVPP
LLLLTVVV
--------------------------------------------------------------------------------
IIIIIVVV
LLLLNNFV
LXNNNFFV
XXX ZFF
YXT ZZZ
YYTTTWWZ
YUTUPPWW
YUUUPPPW
--------------------------------------------------------------------------------
IIIIIVVV
LLLLNNFV
LXNNNFFV
XXX ZFF
YXT ZZZ
YYTTTWWZ
YUTUWWPP
YUUUWPPP
--------------------------------------------------------------------------------
TIIIIINN
TTTYNNNW
TXYYYYWW
XXX WWZ
LXF ZZZ
LFFFUZUV
LFPPUUUV
LLPPPVVV
--------------------------------------------------------------------------------
TNNNYYYY
TTTNNLYW
TXLLLLWW
XXX WWI
UXU ZZI
UUUFFZVI
PPFFZZVI
PPPFVVVI
--------------------------------------------------------------------------------
TYYYYUUI
TTTYNNUI
TXNNNUUI
XXX PPI
LXF PPI
LWFFFPZV
LWWFZZZV
LLWWZVVV
--------------------------------------------------------------------------------
TYYYYUUI
TTTYNNUI
TXNNNUUI
XXX PPI
WXF PPI
WWFFFPZV
LWWFZZZV
LLLLZVVV
--------------------------------------------------------------------------------
IIIIIVVV
UUUPPPFV
UXUPPFFV
XXX ZFF
YXT ZZZ
YYTTTWWZ
YLTNNNWW
YLLLLNNW
--------------------------------------------------------------------------------
VVVFTUUU
VFFFTUNU
VXFTTTNI
XXX NNI
LXP NWI
LPPZZWWI
LPPZWWYI
LLZZYYYY
--------------------------------------------------------------------------------
VVVFLLLL
VFFFLYUU
VXFYYYYU
XXX ZUU
PXT ZZZ
PPTTTWWZ
PPTNNNWW
IIIIINNW
--------------------------------------------------------------------------------
VVVFUUUL
VFFFUYUL
VXFYYYYL
XXX ZLL
PXT ZZZ
PPTTTWWZ
PPTNNNWW
IIIIINNW
--------------------------------------------------------------------------------
VVVFZZWW
VFFFZWWL
VXFZZWNL
XXX NNL
PXT NLL
PPTTTNUU
PPTYYYYU
IIIIIYUU
--------------------------------------------------------------------------------
VVVFLLLL
VFFFLNNW
VXFNNNWW
XXX WWZ
PXT ZZZ
PPTTTZUU
PPTYYYYU
IIIIIYUU
--------------------------------------------------------------------------------
VVVFZZWW
VFFFZWWN
VXFZZWNN
XXX YNI
PXT YNI
PPTTTYYI
PPTLUYUI
LLLLUUUI
--------------------------------------------------------------------------------
VVVFZZWW
VFFFZWWN
VXFZZWNN
XXX TNI
UXU TNI
UUUYTTTI
LYYYYPPI
LLLLPPPI
--------------------------------------------------------------------------------
VVVFZZWW
VFFFZWWN
VXFZZWNN
XXX TNL
UXU TNL
UUUYTTTL
PPYYYYLL
PPPIIIII
--------------------------------------------------------------------------------
VVVFZZWW
VFFFZWWN
VXFZZWNN
XXX TNI
UXU TNI
UUUYTTTI
PPYYYYLI
PPPLLLLI
--------------------------------------------------------------------------------
VVVZZUUU
VPPPZUYU
VXPPZZYI
XXX YYI
LXF NYI
LWFFFNTI
LWWFNNTI
LLWWNTTT
--------------------------------------------------------------------------------
VVVZZUUU
VPPPZUYU
VXPPZZYI
XXX YYI
WXF NYI
WWFFFNTI
LWWFNNTI
LLLLNTTT
--------------------------------------------------------------------------------
VVVIIIII
VNNYYYYW
VXNNNYWW
XXX WWZ
LXP ZZZ
LPPTFZUU
LPPTFFFU
LLTTTFUU
--------------------------------------------------------------------------------
VVVIIIII
VYYYYNNW
VXYNNNWW
XXX WWZ
LXP ZZZ
LPPTFZUU
LPPTFFFU
LLTTTFUU
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
IFX WYY
IFF WWY
FFNNVZWW
NNNLVZZZ
LLLLVVVZ
--------------------------------------------------------------------------------
IUUUVVVZ
IUXUVZZZ
IXXXVZWW
IFX WWY
IFF WYY
FFNNPPTY
NNNLPPTY
LLLLPTTT
--------------------------------------------------------------------------------
IUUUPPPY
IUXUWPPY
IXXXWWYY
IFX WWY
IFF TLL
FFZTTTVL
ZZZNNTVL
ZNNNVVVL
--------------------------------------------------------------------------------
IUUUYYYY
IUXUWYPP
IXXXWWPP
IFX WWP
IFF TLL
FFZTTTVL
ZZZNNTVL
ZNNNVVVL
--------------------------------------------------------------------------------
IUUULLLL
IUXULNNN
IXXXNNWW
IFX WWY
IFF WYY
FFZVPPTY
ZZZVPPTY
ZVVVPTTT
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
IFX WYY
IFF WWY
FFZVNNWW
ZZZVLNNN
ZVVVLLLL
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTV
IXXXPPTV
IFX VVV
IFF NLL
FFZWWNNL
ZZZYWWNL
ZYYYYWNL
--------------------------------------------------------------------------------
IUUUPVVV
IUXUPPTV
IXXXPPTV
IFX TTT
IFF NLL
FFZWWNNL
ZZZYWWNL
ZYYYYWNL
--------------------------------------------------------------------------------
IUUUTVVV
IUXUTTTV
IXXXTPPV
IFX PPP
IFF NLL
FFZWWNNL
ZZZYWWNL
ZYYYYWNL
--------------------------------------------------------------------------------
IUUUVVVT
IUXUVTTT
IXXXVPPT
IFX PPP
IFF NLL
FFZWWNNL
ZZZYWWNL
ZYYYYWNL
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
INX WYY
INF WWY
NNFFVZWW
NFFLVZZZ
LLLLVVVZ
--------------------------------------------------------------------------------
IUUUVVVZ
IUXUVZZZ
IXXXVZWW
INX WWY
INF WYY
NNFFPPTY
NFFLPPTY
LLLLPTTT
--------------------------------------------------------------------------------
IUUULLLL
IUXULVVV
IXXXTTTV
IWX TNV
IWW TNN
PPWWFZZN
PPYFFFZN
PYYYYFZZ
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
IWX FYY
IWW FFY
NNWWFFZV
LNNNZZZV
LLLLZVVV
--------------------------------------------------------------------------------
IUUUZVVV
IUXUZZZV
IXXXFFZV
IWX FFY
IWW FYY
NNWWPPTY
LNNNPPTY
LLLLPTTT
--------------------------------------------------------------------------------
IUUULLLL
IUXUNNNL
IXXXFFNN
IWX FFY
IWW FYY
VZWWPPTY
VZZZPPTY
VVVZPTTT
--------------------------------------------------------------------------------
IUUULLLL
IUXUNFFL
IXXXNNFF
IWX NFY
IWW NYY
VZWWPPTY
VZZZPPTY
VVVZPTTT
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
IWX FYY
IWW FFY
VZWWFFNN
VZZZNNNL
VVVZLLLL
--------------------------------------------------------------------------------
IUUUPTTT
IUXUPPTY
IXXXPPTY
IWX NYY
IWW NFY
VZWWNNFF
VZZZNFFL
VVVZLLLL
--------------------------------------------------------------------------------
LUUUPTTT
LUXUPPTY
LXXXPPTY
LLX WYY
VVV WWY
VZZFNNWW
VZFFFNNN
ZZFIIIII
--------------------------------------------------------------------------------
LUUUVVVZ
LUXUVZZZ
LXXXVZFF
LLX FFI
PPP NFI
TPPWWNNI
TTTYWWNI
TYYYYWNI
--------------------------------------------------------------------------------
PPIIIIIT
PPXNNTTT
PXXXNNNT
FFX VVV
YFF UUV
YFZZWWUV
YYZWWUUL
YZZWLLLL
--------------------------------------------------------------------------------
PPWWFFUU
PPXWWFFU
PXXXWFUU
LLX VVV
LZZ NNV
LTZNNNYV
LTZZYYYY
TTTIIIII
--------------------------------------------------------------------------------
PPWWYYYY
PPXWWYFF
PXXXWFFI
LLX NFI
LZZ NNI
LTZUUVNI
LTZZUVNI
TTTUUVVV
--------------------------------------------------------------------------------
YYYYLLLL
IYXWWFFL
IXXXWWFF
INX WFZ
INN ZZZ
IPNTUZUV
PPNTUUUV
PPTTTVVV
--------------------------------------------------------------------------------
YYYYFVVV
NYXFFZZV
NXXXFFZV
NNX TZZ
UNU TTT
UUULWTPP
LLLLWWPP
IIIIIWWP
--------------------------------------------------------------------------------
Total number of solutions found: 520
Number of unique solutions found: 65