From 8847d71936800edd6d0bb06073b22356a578ba07 Mon Sep 17 00:00:00 2001
From: Zastian Pretorius <zastian00@gmail.com>
Date: Mon, 1 Aug 2022 00:34:14 +0100
Subject: [PATCH] tphase algo done

---
 Program.cs                                    |   2 +
 chess.cs                                      |   8 +-
 input.txt                                     |  12 +-
 .../lpr381.csproj.CoreCompileInputs.cache     |   2 +-
 obj/Debug/net6.0/lpr381.dll                   | Bin 12800 -> 16384 bytes
 obj/Debug/net6.0/lpr381.pdb                   | Bin 15912 -> 19240 bytes
 obj/Debug/net6.0/ref/lpr381.dll               | Bin 6144 -> 6144 bytes
 twoPhaseSimplex.cs                            | 285 +++++++++++++++++-
 8 files changed, 290 insertions(+), 19 deletions(-)

diff --git a/Program.cs b/Program.cs
index cc7f847..80a681e 100644
--- a/Program.cs
+++ b/Program.cs
@@ -7,6 +7,8 @@ class lpr381
         //simplex.simplexAlgo();
         twoPhaseSimplex twoPhaseSimplex = new twoPhaseSimplex();
         twoPhaseSimplex.twoPhaseSimplexAlgo();
+        //chesssolver chesssolver = new chesssolver();
+        //chesssolver.chessAlgo();
     }
 }
 
diff --git a/chess.cs b/chess.cs
index ebbd4c1..2f25a44 100644
--- a/chess.cs
+++ b/chess.cs
@@ -3,8 +3,7 @@ using System.Collections.Generic;
 using System.Linq;
 using System.Text;
 using System.Threading.Tasks;
-namespace Backtracking
-{
+
     class chesssolver
     {
         static int N;
@@ -51,9 +50,9 @@ namespace Backtracking
             }
             return false;
         }
-        static void Main(string[] args)
+        public void chessAlgo()
         {
-            Console.WriteLine("state size of chess table exp '4' if you wish to make blocks out do exp 4[1][2]");
+            Console.WriteLine("state size of chess table example: 4");
             N = Convert.ToInt32(Console.ReadLine());
             int[,] board = new int[N, N];
             if (!theBoardSolver(board, 0))
@@ -64,4 +63,3 @@ namespace Backtracking
             Console.ReadLine();
         }
     }
-}
\ No newline at end of file
diff --git a/input.txt b/input.txt
index be3008a..8840b15 100644
--- a/input.txt
+++ b/input.txt
@@ -1,4 +1,8 @@
-max +60 +30 +20
-+8 +6 +1 <= 48 
-+4 +2 +1.5 >= 20 
-+2 +1.5 +0.5 = 8 
\ No newline at end of file
+max +1 +1
++8 +4 <= 160
++4 +4 <= 100
++1 +0 <= 17 
++1 +0 >= 5
++0 +1 >= 2
++1 -1 >= 0
++1 -4 <= 0
\ No newline at end of file
diff --git a/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache b/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
index 5c08ff5..393397b 100644
--- a/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
+++ b/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
@@ -1 +1 @@
-2378da97a7cf4743291d214cf9ba5b9a5bd52a98
+42cc27e0497d325b5a06d599f420fe32fe1e67ba
diff --git a/obj/Debug/net6.0/lpr381.dll b/obj/Debug/net6.0/lpr381.dll
index 08f62bfe39275c19fe282612a32fe6c329536769..c929f158aa5f3b2aa669c787cb5331b09184a4aa 100644
GIT binary patch
literal 16384
zcmeZ`n!v!!z`(%5z`*eTKLf)K1_*F~P<Y7(1_lN``CWVrTR6`u?qKves~D1zS*%b{
zl%HOdn5&SSn3tDdqL7rTP*j?ykeR38;vcM#o1c=Z$IHv50yR0nm4U&Bk(r@5b?#%R
z5W@ooB?fLr0|o{&1_lNWi0G#f1_lNN1_p)%5Z?j9W`ejIBm#0jh-O&8z`(!+W-%}`
zB(yRx2!Iio5P*n7DKKYV2m^yZh?T&=V89Aupy37v1|9|mhBLto3?L_<$>QcJz?}|O
z!=b>y-~nbq2)&ZjiV_9}h94$Se}Vi8bvHx>*oz5zMa4zQ3{ba${LaR}z+eGW0ihij
z7##G9QgiZ?A#P;=MGVL+JBU1tbYNg`g0W%rC8(!BZewC#WoWQvVDJ%RU|<BrEdv9{
zHkeYPXeA~MUIqp(2CXD0gGszsoPmK+Rg8H~Eh7U1i<TWsf*FGkicc*D24MqchA;-O
z8w44|xU^ju#JIJU8JO7EHTW19xHR|~7`TcU85jyQ1VCItkbMm7;t|~Jb<7M5EdN+|
zICL)-v4Rvp<k-X`xY(d_yqvllpmr>QBo(k7G7L=2Y#Krg3|!*>7<o8!*u{7)+CV-A
z>t*@JBFrMlqI-*(i-lWT9_$pTT47c}Rvi{GUhQZGHt|R<cJWAVHZdbkcCmjfV*ePm
z8O4Oz1le@YV$sMh$PU)1!~n7bq>)|B2<}dhP7Xm1-8166+6<gp!Uil1sSFIDyei1R
z4E2lHKSnM#9TstJZGSNyZA%6w4rUED1_m}>P91d+M_fagfq{#OSv*36oq>T3<OQ&5
zMJ5hrF|Zs11BZA74+qpdkY99nig9Z*uxl}Z;(-aA=2;jR1R07rLE$L^3Tq8fP_T<J
zFmN@1!W*m^OcaYVFmQ3PiGghs`^U)5uEWbv6b#qMz^1_pN>gA1)U=eCG$cUgLF{5-
z5MyFsU<KJ#ED18FSc-vxi@T_rfuW#Snt_3f*Wv;wRdN*dGcXk7%P=r->GE<EO^0!`
z8O1>!w0r=HwPGHSe_4^#3Udf@=m;<fvVyhOvVe*XZ9WhmWCDcGA;uxdS`CuQmt|n!
zg0bZo7`P(x<rx^bcsS%0#PSsw7`Q;OTF1%2z@n-vu2#nZN_K1-3=C|=iVO@~stq6+
z4MqkAZ4D*{25n)sVik}cb_PK<VNNk&E^RqMPC>3&!rTmk?1J1HstgQV`D&n`U=ZXI
zj}Yb(<PzlU%QU(r$STNQ%gVsO!Y0U?uMSpVaSG%=ggbZydFr@O-Jywa2S^6V9X!Rn
zpm5=ZIERlxkVlwbOjtlWPLN+vV3x2TgP>s1d{}_$$_NS;Er#>>1O<zh!+4;;77`TF
z;bjoy6%?#x2ZyF0gCL)vAhK^51O>z+garfz1o`_ijb;h*3i8#mF)*;O3-ab`fW5=O
znXd^7F&>eB%)-Kg!d5c>{{QF9*8)khu@`HDf=xu5K~MydTHwhB&H$%XMh1QcP~u_`
zWGGf;U|{27%a;W45gMfpSQuQH85r2XX^b19hKqrLjhj7R2Nb*P`MRKV#=w!U2eOx4
z+gONQLm$NCU=ZX0Ck$}8111DHszEWM!3>IJLr{(YXATA-b`2v?+B|ZPUx@vm7&`-l
zbiOgjJ9ij3^G!g8acUb2acY=?m|P5kT-Bh^0~-k@1i7j~L4;{8r-m8KT+V-D90+rZ
z%|S-72(oa9<y$Z?aDm;GZway!W+k__ln^(>N*)G57C|1c9Z)qw+z^xR-s2bI#$qxn
zgCI-3703==ZEqo74QmjSj{%a1!0AVlL6BdNPf#G=1}P=OqMk3`mVtrmAB(V{prGzG
zK~_P2n7zCjb|4?ExyLWW`%jDu;Uh6&AqxReW)~C^`^N}M7dlQ1V!|TYG7N&Of<pQB
z3=CXKpnL$!H6r2>!Xknqf-F!;u$AHw|5$`Y1x0mFF<9&dsTLC!vzP*6zzu;jAQ~dU
z9uO9X3&R;Oc?VFa3JM8|iAVfn6qXQ_(2+oKQiDCzN!ns4;tUK>akz<s;xG|0@d#lt
zK`}JPNB(0GmK2n<^8XKNmkA1qM+gfE3JJ30J3>NJN>Iw`&cFZv1z9x&LFpV+(XfIF
zbv9vE?MMbeRt*tQUY8bR6_f@QxNO2Qf-)LnATe2(9zj+?SwU$HagZQu(Q0@>EyxP0
z3fY9^1m!?k9BPBOFdGAdAR8z~<OSt*=YYy>MiWqTOO?SP6`cJTm>6mq9QMN49~jid
z8TmmW&ctBO7|{=5OB=8;lrw_cM}iDYV&K>Whi|VW0|O%$vWP@<4mZ1o69WTRCXbjf
zi^XD)S%NIcO2i}e*acZQ{;_~+Oi*Pk&%h?gQnZ$Vp+JyDJVKaFhz;Cg05=vEF=)qN
zXy*cJht}4hT3HWl!bY$O$W}>2M`AIM8?1UO14F?g1_rQ|ET~reV*yn@Rxbbl|7R<9
z2A42Qko?4{9W2BN$xon?01^lS3=E9I++xB!+R_Yy+=4uUT!K8{blD@%z`(eOL6Ap0
zLYN064p#q<MVMERSN961Aa}kC0|S>DgAgYqUoE-EFT{zGuQ(<0T|o(0i-A!96mS0-
z65=6o0%~)GGB7Z3g33lQE-`LxC0Nw3gDnSVH&D|`hlPQiiviN!LJpjNEWDh$r@^U%
zMUX{@jX_+PRhx}LOqf-hL68-cRzPi-C<c)I41%C`oej(eHY6LExY>2&;1W;^APQ3R
z-N2f`?Ikv-6f_KYICM8Mfm=$Tb_=Ba$PMxf*xg)W++sZ1Ixu57!1l3$T&yF6D#*pb
z4Q&&lnh$DP=<a8Sdj{l}CI)bOTM$wba*1<mCowRwgOf8e*aooO{}{!<ElOhsHmD?&
z0=rxsQsh8|Aljm#1%oyp1Dn$S|Mm4yJ~Ygs1pqIn?nE|W7HtMW7I1r(i2)S05I=)7
zLHumSzy$TJi71qnqYTPKApDO>n^BCHQ-=qp2+8+g*Fl@TyAl4DHehGSV`O091%)lR
z;^AU|BxW9McOfQlTIPiWh%gH%?j;xmSvUn*!Qlb*hajtX1gNRW39|##LcYN!$O5Yu
zm>}tQ!##c>CY1Ec#w;EI4qq0qdE8>c?AqE4a8W^aBqmq|do(o72(pVu2(u$8fY}Xd
zWA7Cc=Co)8g@_<0GpJw(6>(gGTsoNyY=WFf7DBS6HC$AX2PO~AqJrEA7eF#?R3yv=
z&}<9S0doK-^R8oH5abk(5atx*WP?VpFrOfwRSu}g5a!or5aiclfaY0#hLB`P`HI~B
z0kv&rGBGglf#Zd6+lE8iScn7Cw&7$D<V0`VaDv+qm~9XaMB9b~YukoP+gOMT($L^$
z5adR0+i-*19hl~FL0TZ7HWL??76{(94Ue{z5D&ykUQpYH7i<SCE%8812DNQ?u$YW!
z+wf_73-N)|uP{F}0Skx;3u;R;fSRv@g5dN7OTmKT5uoObAU`Y?g#?AbZ5siYy?l@~
z3~Jl(p`>9!R-_tFn2kx0l~Y3oQ~|Rv39<;XX-I)8b3qmjSq26+HB=!bkTP~{2L?eF
z4LJ~7Sdc|fSVJDf6cH5BPyjJR1z7||1%)*fK^!zQAqFrAvV#)1n4p;MR<M;SV5NdA
z8p<FBJH%3HkUNm<5*K6<6o=R)At(W{OHz<UP*PAF#V)WuxLHuUqy(jOw}R>b^4bfm
z3}K86phPdoAkM{%6n@|q1GgBj#Vk<n<%IUrbz~XXIl(OeP^MxPVnt~H<Z>dLAP#D0
zu?e#2_<;26Wnd@}Vn9;P&M6*IbP!WiBBBV?K0r~+DG|X7>dG@{bAil)wg@=IBY074
z{Ko<+h^+kn|NqYpZVvD;FhiOH9NNJ`9FQak%9P-=)eCM8aES?XgPH?eg4}|jiXPO?
zhBXJc#Uq5dLE>Qb|5!k61Kleef?TlX00$%~f|>&yC`pk6-W-6IE%z7_>>%v{X#-XU
z2LfT<LVTEqql5rF%*{aIggwkLLsy)X&`lXcp$lnionT1NK!mL_D|kdwkO5kULQ?>n
zc9;+wBn7ZT3n2~$LH2xiP?w8STU3Zs!vn<RVh{vHFl5X?h*QH8)Q@@uY433(`cZ6x
z9I*0;4Uz~J-s2ZyLrDb1UZ7!?VsB6fn1Kb-L*>?%M06K91bM*4c)ky~^#$uK-oxlE
zit&mI^J+^laIy*Vf-6mMf{Xx-5r{{C8mY*2o9+!UVSbB6pkYdAb_BPUAO$QjB5Z>E
z(8d7R8u3Vud|w6zt|(zpscoSTGMGb<Ki>~DSa=lFv+)N7oRFZ9<#bTG733Ebgmx{R
z8JOW_Av=PgAfmJ9NUjm^ej$TJDX2>XbMa}oi$w%QEEgfUSX59{#}C!IhW*fBLv}ID
zaajGv4ptcej!<oCI36@_01s}^5RwKsxWxp;EaxIQUR+Qd-SMyxKyfEs9nT;Lt<E7S
z=pPHHUvIVV@BjY{pkNZ_7vzV_fO_QKfB*l-OrenB5Ee0EDQ!^(K^CNh#2_do9w96x
zC<WC7POtx1grx<gb+3vE%V<Y2unWrM2ZGY4te~up3xk-joVE_AEh8t$A}9xLc`ysg
zfb$fTn;HRYR?3M-fcoizEHGn1ee=T%41zM^5uh$VnxzVY3c3@R#RXaNgFvw_A*`tF
z!@w-42sRv&LB%8U!NVMIQ9(uVNQgX~1-1;@d4VK820=yf2w_D*MP^tFR!LAvcL}pN
zL?>7fszI0)T@+#;M5!Pv#6V_YWo-sQWi19q4NzZImqE!N)C2&r1sIZxVeIJ)YS8fp
zP@fFc2jT*?fyKDANBfryT+k37?O%@eFG=oSVjUBL<WYQMLJ$?;0s=I`LTF5gnSu7>
zPRtC^44^`RL6Ct-JU<vz@QHD0TQV?<M{sLPFfg%!%P4k8u?L!oV_=tz;AV%4gS`T3
zv+{80UWN`nfr~S+_jWNs2VvmdalK-71_rhU(4-Jz@<EGPBZPs0OY9$`77~-eDcH-2
z5j@)p9!p{<Gto29Gd3_bv;@_ftPD8}3=DHP7#Ni67#KJ>85l~~7#Ng;ONuh{(u+YV
zYWNu#t}rk#D2E0!1VE>{mEA)<T|iUi0t^gqSQ!|UopSP%K#C#ros8k4OdOnC3=9mv
z7>yak!1JsOpfMrPJU2*KlYxN&G(QiT8kU2E8)&=->`KrSIcQ)Wv}S;TVKFm^4eBT!
zWV*t_#-PItA~~53vhXu}VF8J|F(oszF$gm=u&^;KVgixzV6p~GJ_M8cVDcIxNUsC)
zD`qx^YE}^Wkr71h0kg9hUNLhqcrnapU}MN->1JSKNM?A&?9H%}1vKXIn1Pv<jlm17
zH<kgUtDgB4vk*fl*o5z36Czn(F^e(CFeb9FG1!33u>{LjflX5fv)h<oG4nBOWn~6=
z6FiL$3LQr9(901<HC9swa9lA8Fvv1pVFB@&z;eI9JSOle3IT>GEDQ{e49uXpOa=i4
zPeu@rg#i?@0t`K@5FRM31sHn4JT`FX3NT1BfaEwpV>k=~3|?#y9%!|K0D~2jC&|F9
zD8Miqs#1+XjX{F-A+s7o9P?9VL55C-7tCx7#%!;d*%$;_-@(a`%&(cv7-|^4GK(=V
zGW=u~V^CuF$s7P$Pr=Y8v4w?=fsr8+&SPX@WGI63*jN}Dn&3Q;+!QcxBEvog9u`K1
zA5h+T25}Z9h82pSgf@|(l|_Yxl|csF3Tk5zVqs%oXQ+Yj!1l2-bU=6v4vYpY><p_w
z2@dKOc81L;ygewq6JXv%hHuQyEbI)A!90i`*cskHcnk($`${w*Zu!gL&ce>X0UCZ_
zn8+}VIfR9SAqUEv%8<yy$#4bA+s0hR!o^^r4bk_XwV8#R;RKW?$u^aRm%%^>BFDiv
zkA;t6k1mJ@v0aei1cb*R!@|ZO$gso!B-hB0!?=}2kU_!-!n0x7$|B5AVhrJZU^vVo
z%5Vm}o?{{d$SvXwCg7Yukpbiu35FR^9>^_{3>sD-eG?f#Zjok~0Of()BEukK1Cgs|
z3}KOHXn^wkSwdJ87@k0R>zMDcC^C54f>c6Wt;`St=1r8?#p2AO%#Z-)!Q?W*yk-V2
zhEoj63?)#WHp3}!`M}6<61++SL^3hxvw>D8Tww;~7>EdjEey&&48~YVCWbR$^*O8{
zT_80~3~FF=4ui!ZBF~Xzk=Zlh;*3b<6JsW-dWe|;Y#=uTuyHbMVPRwtWB}y~Nro*f
zTnw5FTUZ1b48f!&m~;e_o?tQ%Oh$sqM6j+(hAk|j44Ggy4?{7l7Q;b?T4qCrlML%v
zO&KmS>|?ZM;9)q->chapaGW)o;UdE<Mr($P3=<i18E!H}GZZrLFl=EdV`v1MAOa?3
zz~oG@EhialSx+&XWC&wE&v25VoB0aENd|xB8w@8IPP5))P+{1@@|NKx!xF~N3@;gi
z*!UQAz<Pf&>|j)6)M41gpvEWyCS|}RBjZFyLk331Rg7#5CJb9xY#B`$0vYx)nlKbG
z9AXq<SjKXk(T3q7>t4o_48NJLGlG2aoY97XlkFWNC*uZ2HU=568W*q{7qGYw*hUeC
z8_dj1K44pXz-mIkYIMNjIt+JNuP}r_)q_;(Ff3(dWbgrt3o<TXF=pDxu!Y5fX(NLW
zn;p|ehJB2#Ogan?nNyf_z^283O^X4WkOH<b2TFqcm;*K^2W;0#hA6h}%qd`(q%hdB
z?q&92_`sUN<O8<xBtsh8WoA7FZiX)`dJMu0e_8Yxq#0yb^%#^HR9W>Hv>BpV^%#s9
z(pmKwtQm?}^%$HP>RI&|yusqZ4AHF44ABe|Se+TT7$&eLgW1VYb~3|M)@HB>C>Kp&
zZDvSj*u%P*L5ZP@buohw!(-ORVD@7$o0$<L&ddlBcL1}Up(IEo8O%-w%QiEDY?Nkj
zU<hJJVyIzoW%ObcX7XVQWy)qMVQOL8&ZNog!F-rmiD3`JVTNZ6(u_Kc7Z^V={$%82
zTFShdc_TAR11P<NN&*-L)j!A!zHTtbf~$8_F*k7C2pV32>0@Ak)R(C0{IKXv1TWL$
zVPIo$W#D3TXW(K?WOxi#$6#Y;86R&DZ@^$vl$x00mYI`kmjn^WDJU|wFoY>EL|0(Q
z;OUxInwwgbn3R*6V94N;SzMA}$dH~|67N}(nrp}qlJA*UVr<0VR+^WbV8jqoT9A{P
zU<6lS1TvYy#y3BuG$+-L!H*%hvbZEQSI^U*AuT7fAd11pE*U1~oS&1Enp~2ZpI5Bs
zo|>0hl$p%nn3BR!P?VWh;*_6Ql){h%CQI@IauSnM{fqqaOF|%Q2Iu^|;{2S{5Rf|=
z3W`z-5{uxR%)An)cxG8Xl$n=W4iQ6mkHOO=v$!C?7;Hodm<-O$OV3GVfCU;uT4qiv
z!nt4@Vcek7ypqh^RETTAMh9dh7N`2>r7~m|`xlgC<|gLAMS@ZjQ+zV>QW?UFGD}h+
ztc=v6R0ijq{Nhvwh&xgl0uqagp=uahbCXh2Qc_bKOG=6|lS)fc8JzQT3o>(3i@;%(
zSb{7CR}@;Dn4SvfF}S2Am8PeIyoM0-E6vG46>%&sPR&iqsSL?1$wAT_l30|UTH;oe
zn44OjUzCk70j3_5uEJ7_iZk=`FeN?n((;RP6G73Nn1fT5bADc0W_oE6SRKL;h*!aa
zL8&>36<}5|LLTOVfTH}A(&Q3^1k7{J`FWr<p$G|>4v@)-d6ftWXgq?&OEQx(b23Yi
zWSuHYQW=6$bMwnm89eh+QY-w^7~FCa)6r6a9@K-GdFc!x`H&t3gKuI<1~_B*q~@iU
zWH2OWq$X!WQw9ShAL^y#<S?WZ<rg^T=P;yY=A{IHQY?s50ArM-7MFkolJj%GhJmsn
zLoqZzLY=`-oSB}-;G3A4$KaKpnFkfs3rbCcW-yT5#l?;}>G=#L<@w-b8JwA0kds;g
z7Ar<#gL5AuJ%^O%qorq%2sBswWabqz1eX-0Cgy@tcxn+tNNPn1lv$FI3eLpA`8j2&
zMGzMhL)dOP`T0c*?x`iv%vh3N#Gsc9A;A>Xe3#6`^t}AylFZ~{xSt@|P7f4cpv(}Q
zT2z*qoLUS`>X~`zzWFJs#VF-NF+*8mPHAc}11xobVz8LOH#4~?zc@dwM9(=tCDk!6
zF{iRP6Rfi&F*6TtBT_L1@@r;ZdT>EbW(g=F^Ye-sz)80lRB#og78f(X6BZ=*6f;zT
zN~)5g#LT>sVus}WykZy|lByg_Ku%3gEMag1XBP(lq^#8B5>VhU1gDlTfb9ZDymM($
zQEFZZgq>fSSHe)1SmX?5c;*$S7J&^a1JPh7g`^gjF!<(|rTT%^MmwgY1m%|_k{E~s
zPGTTNQGPi?Zf2fuVg-8YV1T9!hLC*6qN2n~hWvtf*TT|7P$psUECz+Af01i$K}jV8
z1G54H12Y!`gJ&^A2}2@72}3G_0z)xFCPNjNmCumIpumvKkin43P|Q%wpa52t#E=7)
zO=YNHNMy)mC;;=V7!(*x7#P%p8S)u&7)lvR7&0018S)qu81fkM8A=!w7}6N>8A=)Q
z7*ZJY7#M^z8S)qk!0PlEN*F2_N*EZ}a~VLQAUctuf`NhAmVtrUj)8&M22@cqgG7oM
z7}$##G8l>(7?@KT7?=|o7+CEXY#A6>Z9pUg1H+vUG15VEbA4v|F8?KYEmewvMS+o#
zgIR%rkyU|_QBV-X<pVP<+1Ob)IGC8&ML3v1E9Ti0m;^XDKuY;o8JPI^_*fVi8Tq)`
zIYEk;K!8<&iGzcKgPo0uiGzuWiA{l-k%NPSi=7E-0uwU>14tJKAFBcrBL{~)yQrv;
zC!>%Im{i~s@?{c|k>vyNc$j4QIQV4wgcQI$5Qm9LRLGSH#D!^KgK!{}0*eA86CaBL
zBL^R|0s{xD0uvtx2fG53EFZIAA)BaBAQK-G$XXc*F#$#<QK3pkIR+RR$Rx+W#LUIW
z$0NYVC<_y31sTu7!obJ_4iI4m0dxnjD=;w%GYB)Xurmtj6tOD^Nua9$83A)Hhz-I#
zAOeJWm_!9b8HHqoWWcn7kODFdR)HWmn81*SiHV5=EXu*e#G=3;%m5-7ITRQ`dW9L-
zK$MUSw*Vs(A0Nbj%v_8-Yz)kNe0-pgVS=bo-~<^0!aS@BjKT~YoFI*0zC1ghEFUk2
zP$bAguoJ<;U_w@ggNcQKk(U>gL}dBc6c~jfWo6hvNvENggPjeM7Wmj%I6%?m$q3fO
z28wNA1`c*M9*{f-KRYC7p=x-H*abl9K$wRI?hG&&On}_M!Ndbq4i+k8mnJo^Ilx{a
zKD5F1aKHmwj-8i7mJes3#IUP?G=MNTe!+3X2PU!l3FJ+Pgph)e0tYDLfU*z>L%hqx
z0Z!{+16jeU!GXpBCP6uni4T-4nS>em*;zrs3Q`HepcKo*$FadazFzPumlZRcEGrWm
zD-#<B6B{2JIIr+9vk4inL-PbE!?S{8la-5skrA3zc^H^sxt4>2n}G?=5mI14PvfAT
zI1d9OIIh7C;9&q|Flgk9Fd!sAvLMXE!@vj*8ZbwY0qj$7uz>|QIH1xzVhqe65fDa}
z=2c)q7|J1~0M?JH2*eXo5QP{G;vnm1gzg%W1C7>&Fo}g1B^LPQ=ebrSrxt)(cOe-?
z`Q^oo9E=R?;Le9BBZGvVpKFM7eo?ApL4gjmX=Gbwrf0y&5W*({Z&8Apy*Y`Meu=rM
z4BU(iY>+k)0|OT$11q@Y%D}+G$iQx>X8?i_aWIF0ffeK!1{RQoYK#mm*`Rr>5GG#7
zoSgh}-_o3t%z~U$h7cxB&%BIOP?I}_L5-2YM})94R*;dfzF7I{^OG1DeFH%KvvAPX
zq7ViK1<>9ir~;5$VFm^Ubp{58@(>1wawIvB63}QPh=$>yV3*+hWv`oJ_>29T%NOUw
zSuxB5nW3MNpPQ<mTa=blnwD0n?~<Qfnwy$eQmmh>tPcqk{rsdXeQ=oQ=cSgI=@~%9
z^$Jpw7=k?<jZDoLpeD~d3^loY^?9L-MrRqkHr?a<cqdZ*7-$F@>XZi{wgQxcMqL8Q
z!Nua8^NU<7Qo)VO+~VZ?qSRDys}-W)zbb<QF}vF!sz(;d1llbJ+Gf`v!N9-}zyKWr
zhX(>U34^wufp(a|MM2FI5C=^VJT?eQD;ZeK0jalPW?-0*z`(EulvqIm3?MdWLtGd`
zFhe{;7=tTA5JND7CxbtOA45EYCxah@8)Ua0!(Nv6{~-2)YyfG7(DooEbU!0R1S-J5
zzyO*PVPptnNMtBtaAU{>x7$1!^1v-KkSZ1M_<aaN5kn$F9z!uh4!BJSX~%)&85lOO
z@PG#V8G;!~7>dBHwR9{dy#SAO8Zf}12}2SCXfRlhft`Vo!I>c++-d~bQOV#3ZbO20
zb}=yIFcdHpF&HygFc^ZZGXtxKxzq*R3QY#vTL5ogf)t|bGhpCgV1&CXj3Jew2;8a#
zwMRkf4H@(p4B(i7!Hj{Mfsp|e5}+1v5knqBB0~<6%aG02V@P4h0nbV?FlaC^F@VPF
zQW?_0IzT=vV5kJUFr6U-)TRZcB?ddN`TkIGP#YIyKFnVr+j1E|A%M#sNVo+s6fxv8
zq%f2+Br}vCxehbj3>ZN38K~;fLje&6pzV~P@NxvV@lzRc89*)kN(Kc6+<HLa$H3r|
z%)oFTDUrS3z2C;ZA~#2&3^KxCt7NEWprnwRmz<xHnU`*>6dK~DYoVl2T#}fVl9-d9
zmujn2nOdx5Z^y-DlL#HrP^iew$t$*1DlN*hDo)Nw%}p%U&4qRQbd&RQtrClK^~wyD
z6mk>uGSgCvOJKDX*fu*Z1qHZSo++t$C7C6aC=LQuOiBuQiMgq^O1_nj1qC^o$%&v^
zQ7^HeKuI5LKuJ+)aS3QRgh<yIDS@;pDA*LICYKgvmQ+Hx3JNwwsfDGf#U-gJ0Y#Z*
znK`NHsl`N^X$&<}K>^tq*NW8SQjlwXQp-|v6mmeMtx{sKXI@!;c50E5LTRRBa&l^M
zv8_^CVoq@?#6w^+^s%@F;!YcVWOv)>!@Y0EWup&^7&}nb8GbkbGVlBaRO}8v-;Mf+
HKnMT;iba-S

literal 12800
zcmeZ`n!v!!z`(%5z`*eTKLf)K1_*F~P<Y7(1_lN``CWVrTR6`u?qKves~D1zS*%b{
zl%HOdn5&SSn3tDdqL7rTP*j?ykeR38;vcM#o1c=Z$IHv50yR0nm4U&Bk(uGQTw)hg
zh~WW)5(77*0Rw{u0|NsGMAXckfq_ARfq@|b#CL$OnIP^4iGbV>q8S!2FfcHISq#h!
z39Sqa0$>Ct1R&y23e0)r#=zhYVkIyz7_fpEXt;rafro*CLBNfHAp}hdFINHXbg(iG
z1qKEWFbhKHm84dbFfcIKs6+h)@+;Kc5EWoACg>Fv7bP=5-3IbI8v_G_7EA?%c3@y|
z&?`#K$xnv3l>rnnAhQf0@-WhYfx!vJhS6f6aAknFjfsJkp~skkp+$&+fsuiMfs=s&
zWE)H=QM3}11}_5x7lT$3l))t4E6%{cs4B)hr<Rd{fkn#>Cc%us2gRor1B0*u3xgOF
z*bRaV#e575TwKNc3=CY{MT`s#1;qjk3|zbx7eFrLC=z90D99INVBpf_<tUPcakLr5
zg;@kyEFXZ}T+GhEz$VO!q*j<ikV8j+L68-!y_Ol2jI{Yce2@tcK8F~GAZs;9Dqo0!
zfeXeKW?<lo$QNN?;NszsR}jk=WnkbEW)ozq<6vN5QPmY!t7B(iVEM-;#lXN;EXKgV
zrP=_J(O_g?(AHpLV9*w3E0zT5VP_Cz6Xp~X=F*lE<P_wZCCtqr$S%mOA;rMJl`jnn
zLIy!D@d#lqK`uegzD%QAf~<n<wJZz_ENp_T`7&Sy7N<b|L%4%Skf)9l)g96ZcYtJ&
z+`&`K0SXshh;#TD1bKw{#e@a4;{^Ey1!f5gG6)J5slozOS4L2<NE6QE6BI1ch4Dav
zEhH$U!^<GZD=1jY1`bU@20=bSL1f=B2nvWt2nz@b2=e!38qE^q738aBWnf@o7v#;C
z1$&2qGhYrAVmu=Mn1zJ}g{@@%{r}IIFAtJrV=q<!1)GRAgP@3(5|f4^NE8c$0hE3i
z8TcW^fFMJ$I0FM47aJ(b*ccG%r43jZT$vd_WuG8JF&jh;D+2=?H+#MkD0bQNl|ku@
zfg@i9WG}n6u@Jk4Du~I!Ajknu7)6E*3<Y39kfRzDGaAgGSXO6X;L^|lIgdezT|*O;
zHjmun7h?Y>#>T)Pov#Iwxx>JjuMIMcQ`=aGQ$q*D<YExyss@D~*hnxT$W;vrB205R
zHFRO-a{d!zN0?iz2QrF9kcC4mU!Q@23+%3Z1CX6CE4j6$gt#GA@-PUp2=ajKfT|JV
zhM0W!9={Mb7L!>S1X=P8L3Z$JdkgVu7=f6443I<wPCt?ig8YJff&%%*NGTZ>^?dmz
z3=CZVScC-y1$D0pvI_FU?B&%k1^H;rJ$@nHe`1^nABhPISqOkKyP%NRKSofx&~aiA
z6Bf~yVGv{$6v{VaVBk^$<pWr*5fP6N77-K?WPwV8trU;=$095$D5`sk!D2T^wV1G&
z#S{<&ZU~$K(GUstfUr1R7|wvnn}b4CP)JZrJmMdtu!Nw5js%L68tkD?(iTGzXJCMe
z!%Y+vhlz-ZM+l1vilI3^@*j(^q@bjg|9?;&Ehr=&AuJ>)B*>C)0SQehK`E;{|Nj3M
zWYypS720CLY=W#Be4zZzsvXH7$g05)VoM9M3QB7TfS59ZG8%#)hAd2vAgiFPptOb%
zNRYM2l!2iDl86OaK_xnyu$-VAD2qdF5Eo`+U=U;j#fZG1yzU%OmBeTQs(Mu!98$sA
zkAaDymcd~!jQxQ@U7Qh=Eg6^?%o!v4A#7;_HimLgy}-aA$iO59j!kg*_DV1?FmfS_
zNJQswvuju~FmPq^hzYY;EC$CO3$haNNIiBz7LI=`+Kghttb(jM@(gT(EJfxF3<ZKL
z;t|4ZLTnmVpzLYQz`(VLK|4keT{{<8yVyTQkO}O9>^gd26Rg1|AX_C79f`$2Zm?>5
z28Mz~3=Ci^Sx~L`#{#N+tX%&8|Ib!z11@2hAo+<?J6MPllAk~&0VEIv7#J9Zxy6Ke
zw51sYxdnLyxdeH@>9R+Lfq`)mgCLK1gfI_C9IXByi!iSsukIC2LGFB81_mxQ1|d#J
zzFKmRUx*VWUvWz0+kq0W76YRIDBk`vB*a7FMA(3tA(VlEffW=dVq9X}+DfpfVFz0d
z&Tju$csO)e7}&WO7}&)lxY>~d=N}6%r|xNR>R=IM(P3i{7iQIFV-OQ&)n*W61*H{G
z9UsL2N~;Wl3}Rf`HZU95kZfS$X4jE}OF%7vC`iq>2RWXBflWMuiw!CT4Fety-HlAV
z+6<iFwgfXn7y|<XJIF6!cXNqxi}7gdz>MVp+s6iSv5pX`AQuNW0|SS61P=$Q`JkqS
z?tXT-XFz^wf;3eHAtfP~IJb5Z0~0$qIWvQ80NeeKQS2Wh4~LF10~=HlN`YN24k>b=
zLJ)1y(1JmmkAY3;|Nr`WC?6W;&;o#$Q+FbpFpD;WAPd;fObno~h4>ky3F2on1}3O)
zO+=xr9A!`@0^xs5+KghnoH{%(MM%B}yY3$g*x$Pm{+2diXUJm&w-W^!z!eV{10*r?
zXuAtBfzvWCBtV2&Kyfd@AjrZg$O;Y*s6PZ*#UnsDl@n$Mn;@I+4K_g*SiQgmNxvKJ
z@e47bq+d2>@d$AEvVhIw787RI)@Fc<3bG?H!7A9Jp=m~tT|7dV9Z3PqZVo{X-MwPM
zoED9s5E0~L1{Lg}B92RtODB_oO^_4GLP)l>hKmaFz~rG>RFE6t0!XHfiiEiUnr&e^
zU=9Ff-gOKNf}G+J!kmJfY|!Wx<`d+z$^jJ_!u;9{g8W(x&^*h}5RwcjU*Rnx1_lOD
z+vW%(ID3q?ZCDu?;Av^lwQU4hk!n0)HYPz<P7N_o1<b-E$Rfz5AqpxWwaBYiSs9WU
z85p=h<sLJVEs%OujK^XnD2;QlfD1lZ1~v|GEy*DsA<QDgf>KG=aUkm#2em~&RckCr
zk2?cH0S61HCPdZ6#vvY2<c(8OBBBUXqhiy^ArZmDpv?s`99oTnOJHOt{9^(2xUB3!
z83J5~ax*YP>QHv=U?FyJxg!i}rGv9oFSrf`_q3!LKwT|C4nZz(fdH#RVcjeau=;;2
z!rX$~x>wi*Ibn4uJERN()uHStWe~drY90ETA;B9`hl29pX=ZSL99}j;9Lb{{f?hT<
zaOOLJ+R?1qqC%`1jvyu*sAbLuEhL3lHJm_=<45=Sg;@WIaUmMVm<8oxjDoV*8Ps=X
zV1aZv*tI2v*deWd4hD8X4seen-vwM+2(d#N|Mwu>6{Kzjs8Fm04Jkn50bH9wTt|$E
zm@t=xBuG0bP+b`qxQhHi?MpY1Pq_uTEvJLhA}DVDF@jn%I?fEtpfV6#+9F#;P!Q4N
zb|lvbc<Y?OBA$_f0q){ZxQlrOc~M-<C&-8HVwgKnyn$5^Zk;wYT)Y<4)Dh&&2Zu4J
z_pSjBV}3z?%SlLKEFdU=?qZlb=<H(nAO{;fZo#<_T+9dx3R<1~`~N?@LS)Z(hje&^
z1cj^${{H`unfSzog~1^y3{E_d8dN+oAKX`C7KDnzXmI@sZFWIYGlQV8cm$}E$qbhJ
z#{%j~>aJ%N7S(1D6xCv2)Bv@WwHTCqAoVU213yDz0gT<pptc3VhS$e>psq1n187tT
zG5Vmztl`1Hz$NyNQ45Lb6zt{12p)L@mm3UaCVB>X#s<cQmY}F(WyoP*V0gmDz@S{m
zz!1RBz_5Xpfk8RAq$o2ly%?l|ftP_HhJk@WIW(9dh8H~I$)M~W>gmG3z>vesz#suq
z@063D1Xc|42LofcC=&-K7Xt&sFGgbqG4Plh11QIFL&pCYq(Nh!(D6YT28g>ra*UAv
z0ob*m@nZ&tP-c)AsKP2{GGJk2xCbV8Gs?2?GX$`J#D6e~GP5xpWm?9}#t;G~1;L~q
zn4AnIA2NbuI~YMGd}5lw%*Jq@1w<}p1d#%)ATont0y7tb7sG4@Hijq6?F?)Ti3}5%
zy%|_p7#R2%b}_`Wurd4r>osHsso%;nfmw**Gs6vLHU=B8E&;G<ADP=3#29qI?0*a(
zl@?(2(F_xq`4~7^<H3W<b>Pqf#|xtXLm6Weizx$)cb?Gz%mWQp3NWl;0`Zu@W9b46
z3XBX4jttD8UKE1>!vhuwj~yJI55YWE@Zh!pIE)<`*g@m13<3<ztRR)_pqiUOfT0-5
z6JcOh6kq_AlOUB63~CG|EZ)p&3<Avl%xnxftU=6d47n_!aB@0x5VILW6+;ZO7y~0i
z0<#!{5<>!W0B8iAp-n=7g^hucArj8ZU}j_}g7b2j85x@3JdoTJ2#-OWv6z{WVH+rc
zz)jhY!aIS&y8`A-WSGO;#>~j@9?XN;{sY2eIKvEbOM@CHm?tt^Vd!FJWDo(3hBHiL
z@L-<K%*0Ru<xON*!pzL@0Ln{X-pS0u;Gzl9XTy4onU&!Rlo!T&gPEPd2Gr4Hn8<LS
z;UO~z!wGGWN{H>;3|AmLh8@go4BQMibU|{B3|AO_Fmp3R=tFqN8Q55O86u29JcvGi
zhD0!LqJ$Vr8#6ycE|>?CD+BYI8MqiS8Tc6*p*(GdOwb$z10%yL22lRuV#G!=F_bZb
z#80q*NRS#PhGbUI_+&0v93o=OijaK^R@n&_>15?(5MW_s5M%(wtR#Z~3m1bXg8+*F
zgCUr-1e1<n(i2Pug2_lQnF!WZ$soWY3UVt88v_qmL<CIE1gkm7Fq0*d;UEJCa~{J%
z23zK0hJy@@%;gLR8N^v@8Dtm)Sb7*PGK4WsVz|iA&AOIB1+4cWLl)x!1{H>F3`ZGw
zz@!M6e97R<c$(oQLkuGugARiL%L9f+uzDSaK!yZH9fksiR7M^KCYCHl69!q<1jd65
z3z@4J4>B;Zb}@cr@L`<DXu{yeI*susLlPq!g9uoq4OpcOSlk6{8V^Gq^J+#Hu#GNY
zH9lZ9DqwLH22Ivt1|O(;kV+MXpDc_FE?{v+#y`xr895pCnNKr-?0vwvkwJjv8RJF<
zf7UmQ8yN~1KQpQ@v@;7asenxm0h=5GHZ2Bhdkom#7_eOj878xuGsl2UKFBbi)s|V0
zftx{*MUO$4L5oF?L7KsnMUO$5A&5nfL7Sn2MUTOlVG4^LgEhl^7Ci=MhBYjD4BlYz
zV1^DBXNG8oy)4cQTnu|zlELg`C_9<q5KA*y1e6N*vNSU!GrVM3z@Wsio#il;6k-ry
zeGFzlW&p9389}njj3Bl%nC%Q^Co_U<k!E<o@RngW<1a>LCP^kGCL^X)rejP`n4%ey
z7+M*2F`Q>8W}L;ikZ~iUHnSl!O9Lo<g7OOtgX$0DNhBv`6L2+wDz*q*(t;X@FntUR
zkkS`b-3@S6gDR#9HjkTul|i3jC4(WuN(NtsHn13jjh$tDyg|GHgH2ItVv1X4PO4oJ
zL?EZ2$k@UVroa$gfgyvZYhGz?YEfcRPHKW7gHL90NrE9mdTL3$XGv<VA%kaLiLnub
zTWMZ$f)PVVX+chEf)QNW2xKmUjc<NRX-=vgLvUqrNoua1r$0klPG&(AgN<D>Ow2hy
zCnq(zBr`v+SkFB*FSRH$nZYq7g~2&LuQ)#^H3VcmLqSn$L1Gb{lbKfn70)cohcfe0
z%OPS2S2K9JWEL0X7lVx`0h7U*dFeT+46v|ZNXyJgMYsfPBa9nVnpcvUo5~QBnwa8~
znU~5CUX)pq3SniW7Ns&c=j0csGC-_IWe7+tDu$|IaLr9hO-V^jaV#k*%1kOPNo8=(
z&n?KzNi72VFtG$#3a%)$I59mH&SP*%O)5=K2e}#{=2x1NgDT=!T%4Mllv5d!S(1aK
zIV7<tJ+;KGC^0v+JijO#VFFA&C?$lY78Pga=V3~E=B4Eq<tBn6B{2u5D(C#Xw9NF<
zBCtAyArP;E1%py^5-Y&0VuU=*1p!6*DW%CJ2nm?yob&TQGs6f8m=2K1iFuU>31}37
z#Y-}iGIKIZkYt@IOF*%gn_rg7;F*__TH&9@;Fgn^juydsP!DG2r89)&L)wxIzKJCn
z;Kb~cnwMUZ!H}Ghnw;%lP?DLOn8N_cIeIBMISgr;c_{&)MChEK!%zTYl%y7yfCONf
zg`pUlYoJy$6lbRAG598C<}rBXXXZgg^@38<pjm;Tq&z<$Be6I&I5W2(C$+*cCq18`
z7>NzdP(GP?g$%(ZMX8Copk$g_#1N8NQ37SU<>coVF}SCeKyyS%ei4ISGK2(EP(xfY
z6VvnZi%T+-i{UPTq<uY5$byn>aB5LmW^!sVG*M>erTgZmq!y!O(qe|P#GKO9Vg^_|
zg2K9(!8bFxD8D#Atwhf`KPA;MFEOXGI1{Y1Br!7&ZX;4L0P;{~UV3mrPG$)x$n*1x
z8Ni9Gm;oO3kn~;5Pz5R`N{SLQ^Gb>tlJoP5VeFt(P`o>qfSj0|Si;~2PS6bgNm;4M
zB@AG*!SU-{T2z#pR{~+@m*$l)lqD89gBf5uLsE-N7<}`~QvE=S6&zDig7V7|u@2&Z
zV;#iE&CK&ntU!-CShO*O<U1A>B~~)z7sR_3mL`JIDuZV+D6ssCTyqObD#7Kxa3(_@
zLjgl6LkWW(LkU9#LkR-|doBY=6htR7R4_0w+cGdP+c7XO+b}RND}bsSW{_wx0|R>z
zLk2@J0|Rp^0|Rp+0|ToagDnFCs||=`Sh#>?aoJlvkEPvfQn===EMs6%U}WTAR$yRc
zRbXTk6a;bkz)VYfc2Q9wPevgLFe$?)<jW)^A<GBi@i58qaq!9V3CVzYAPy6gsE{iY
zhzrxe2H`*`85RXbCO#GgMh-q^1qKdQ1tvZY4t515Sw3dLR5nqeKqfvWRs|+T83{1~
zMkZ0ATt+zt7#YYU$H2tQ#mL7az{n^I6K4e(&%?sN$OCq-FenuG1kfG9uE4}7%plCj
z!p<n9QN*qwB!aF2WDLy7AT|i|fCv!gVG<P#WfYPSk^s{(LNdrSSOtRMU;;xPCMG5h
zuqX!;6N>_aFawBS<WOJ$=@n*R15rW}+yabDe0&f;GIKHVurV<6@$vDoFfcNLf`|#C
zOokI=5(x9KDliH&aBzZjgZc98e6oDJ972&GTfy!G3xf$+84e~E21Z_9Rt6?MK5ziZ
z^06r}3PsAwuz@1Fp_7B1je~=UiHV7iorMDwd!CG7t!xTRj2yxY9PDg7AbAdcc1TD=
z)$kax3xL#tFb@yhF<>s30J(;Pi3h42ER?`5L~6KmfJ`Pj+-2E$WchFggd4jU$Qd9E
zj#xgB*>E0M2<#DvcZ6hwWI!GV1q~Au2RKQC6|;i0@qhz^kClOm2^?2Ud>k9><Ld>l
za#=C6$+9xBu`;pov4PV(4>OyP4m&h$gYp$CC|}943Mnw4r$JEHhKGR>906dvco;yL
z02(7A3<wF3EC}=PFff7>8JHu;0CpzWD_{W*4yZJb7y~m%1cZ^Lc@>xthH^+Lfc2v)
z0`Y`oI2ggba|Q-EP-j1cNi4i5vA{1s&$S{swE)yO2+1hQFE3`~U}Rtiw>C`~86@=l
zTtl4mi&7m63Ur_~t8JN?o&h662%iYNK>}(u<s?@6CFZ6wa5FNnL8?>+1};VhR&c|I
zfq{pSf!$Eg00bf8U=9NVE66bnEFcTj7#Ui!L4!CUOuUXcIr-(jr8y;;1v#k<AxxZ}
zc^Rpo7F!B~8Y6>`2w`QcAS1zrFatw!?X)utjJ^S&_INl014D`%149b9*9}nsQYy^A
zzyMmhw%d(?VK<T-NCooxIuJi7*d@4r=9dnUYvTTW=BM=>H~*gqGDANjKQ~oBw<s;A
zG%c-C-z7h}G&eP`q*y;$SsxN6`uRy&`rshZ&r2;a(=&jI>lLIVF$8-!8kw3gKuzZN
zgPII-{mGlAF*Q5>|9t=I{&6no3OA5TR6uO-SO$oPieW3^AfoZk`9-c3so-WxZgFyc
zQEDo<%>$ABugai6%nC_}>Y+n2fk!G77#JEP7#J7=7{DtDk(>`seGC>@#6gNc%ML*_
z0z=ei;81VF%)l@qfq`KSD4{_$tzj}@U|<Mi2xf?92xD+%2x16k@MQ33@MDN)@MQ2~
zaD%MYWZ28{{vW9FhhUIqP>Nz;um>@r>scWpPyq%82GBStBSRQNB0~{_8$%{T4nrz~
zCqo`X8bdx<kqUU^E`*_oA(0`Ep_n0uA(5ekA(J7WArCCiz_5XZ2Q<{j5X?}*Py}w5
zq+>DZ1$czVfB^<g7?K!3OEL8r*cliZoEh>Nav2K1c2qL>F(fkNGNgjd&tWKFC}J>X
zuwXC*^Uc8OVJ>xHNM$HyNCw+mfZ{H6eFh9142*Dhg)yWu6fqPd`NNPwkHG+r85qnM
zxEUD1AyEQWo5zsIkb~qhWb^eHQW$c;BhjGcxl9a<3_c904C!DUAfFX5RDxZY&X56W
zy@8kP+JVjYhl+z*b0G6!{sP$s2?1R8K*BA6p@<=$A%&roA(^2B$#o12$ofD5XTSg&
zQAAab9twysU|_HShnFKmF+(v!Dnl+q5<?C{C4&M3ZatvzV_@(}W?;CFl*r!i-fv@H
zk(;AX2I*VcDjDh-C@G}oCFiGP=B3*zg@(B4S|}+Lmn7z;B<AGjrP?Z0rWPyN+i`K(
zBtrYL3Kh9IdBwI$rA2vG#mO0|xrxQPxv*}8ZgPIERbp|jUYVhiLT+MSW?E`-39O<4
z+h)h5pa3_^GbJ^zB(tOv#X+DtMM)tqF*ns#$+yz6pdcqR8Qe|PODrf*(gzz*QdC-8
z0_q48=^7&?kTwMco8r{u(xS|gN(fg$!KNs+ur#%}BsC?VD6=dxCpA5_m`F2?p=K&5
zARFUak(yizs(yV^%TjX`azLc5Qev@ZURi#2YLSvcX{KXxa%yq0tx{TIPH`&4Ltr!X
svA6}|P8)q>ciZU0y>G{5qYsN1J5bUZe%Jvrr(<D0{Jb{mBf=p7035r3c>n+a

diff --git a/obj/Debug/net6.0/lpr381.pdb b/obj/Debug/net6.0/lpr381.pdb
index bbd0735031ef19bc656f1d1519f92d5469cd305b..c28b4163100ac8a16ff855c274a45a48f98ffabc 100644
GIT binary patch
delta 5308
zcmZ2cvtk<K1e5wR+zbrLbqov(co-Nu7#SFpgG-7s^U{kM7#J8d_!t;i7#J9oLxUM~
z_!t-pKy3F=PZtIThB<r;3_Ugs49ZS9`AG~64Ef7mH^uN5`!$y@&WW>Pm{-2~{3JdG
z2DWffCJs(61_nluUIqpR9tH*mE(Qh$O$G)A6$S=Ah7bk@1~~=>20;b}2HuGWwd*;c
zvY8AF4E+oc7sxX(Fz7HaGMF+jF~l)2GNdywF-&G)WSGmq#Bh><k>N4}69YRVBZD9#
z6GIFmBSQ`&6T==xMusztObjecj0_@7Odt=TU`7T$bw&mT4Mv888jK94AO|rpF;vup
z88DU14E)+4HVcD>HVeZcT^5EzdMpek`Ya5s`Ya5u^jR1}3|JU;8i3TWGF&!fW!P-Y
z%COIbmEnjfD+9YFD}%o!E5kBNRt8opR)!cWRt8UNR))3KtPFxSAU!b5#87L)#L!~H
z%23b5zz7a428J*O1_o9J2p<%Fpr8WrK_YAn3=GB$3=C`xObpCW^-CBS7}yz@7+9hF
zR3yF#0|SFM0|NsG0}}%qR32m=7Xvc`JCrZR#K6E+&%n&U&A`au#K6FC8ys28415fX
z3{Mys7$l&4eg;McB}N8@Q&7GT10zE*BLhPO11LtB8HAw*@-r|n2r#fPh(P(S%n-gb
z10#bv)B_-S83sm%dMLjhBp}Pc$nc4Qfk6stfE)uOgC!%x2OxQQkOLVRz>Wm*6&M&9
zycii6^r7k%85kMnF)}ddFhVR;Vqj$0%*eoC4V71BU}X5p$iT1@%2#1vWcbU-z|hCQ
zP!D#oDgz_K111KBNN~zzVbFm3pqvquQdz)>5tJ~FK;?Bok;cft5Dew(F)%W4F)}cC
zLHYU&j0}>D3=D=03=BdHEDQ!v^FpC~Lk30$W(EcZOHeonGq5liK@~(XFfhRQpfmuo
zK!kyX!5AtJN+Te?DFY(|Cj$e6D+2?AC<6<F8C1Rr$~R|VWMF4tU;t%oF$NX}3#dHE
zd=TFXs^1e758@0g4AxKud5jDUAigaFBRG$`GeG!uARjR>FxW%+_6&>+iVO@4x=_9Y
z10w^-at|oqk%1AMUgkjgP7I6;j~N&kK-nB*zB2<O!xshyhWc;@1_nt676uon17<Qo
z_&!L91|;u`lxRSFKcqAR;`<||84y1JDb0ZRfk<fv#1CR%WOxWlhYnB&gfcKP_%bmt
zfcR1jEDRA)2Zb?$5+(~nGy@}pC<7!Bf#hRAX@&uk20;8+21bUL43IPc;)4pV9}JK*
zAkDzS5Dzuafsug$#7_d7SI@w(m;oY?3=J|+oP!jkfJ-`vfgpY=10%yDsDUyJEDUK-
z1C?1B7(o0S21W)U21q#q;^#6jGDtHpF!(Y+<ntI9!8r!x36Oj~10%ysQ2a|m6%;Tq
zGMt0PDM&#f10%z41_p+`Ob`Q#K&h6Ifng4mU(CSB5CTf|P<{ymBf~{z1_n^^2-05)
z$|Woe45d)>%NQ6L#8@EN7$jc~iqZxa28Kii1_oIM7KRF_k3gvu#)stsIR+MnN~k<2
z7l8QH&{Pb{1@a6m3^h=BP(lRpYmst+0s{*}9aJ7<K8WAIz*rB?MxG1|42lda42@6)
zpj-grHzVZ&5WfW}7l8P!NVx#SZ$rujAbvYEN<p~*#P2}L1t5MWLp>xLfO3Hn0}DeJ
z)B&J^0>tkI1v$8&U|>*YU}5M%k_Yj7k>phvSQz@C^3mY>7QzRW6QF_#B;U`#$iN3J
zdNmlB879<2H9#t9W`+q!d{Au_$N;L$K}nK<0l{Vhvl$q;K}r}{89{2q7#SFt7|a<M
z7?>H1z*X61aD@e`DcBjNFo0AmgPQ~(5ncw6EFVKXNJ5YSB*DOt42o>9W=4kN3?Sn`
zMl&;jj0P3Lp!yM1N3b!ZgX=bs5nNz{c)%ndgBc?O13!a4xE=sGR|xD-5pY2*1}4QB
zKw&G*kPl9jouKqD%b*6fcs1CsK46RYgZ%+&rLcgF-~t=X%}~n-YSe&?W?+Z``y0ZB
zkf0Kck--Wa5)ctkCCvynfq~%<*nD>+St(HY&&Y5KY#GSyEMT{@f;F&%Nlq}y%}@aj
zI!Hu-f|pPTJq5Q0Vi_11IKg4V4JIMM&JXsC0LZR-20^d|!r%ZAVdw-`AfWIN2a8C6
zMI@mi^bYI;P&hGxYX@eqUQV!aT;Q<b28%E-5Ua8tRJekY4=4th80LXP0_1iU217<r
ze1qCe>|hHxK<;JWVsHb8#CcEy5^Nbim=plF9tFX1ECm*k0h4lI5k)W?l7tz+6%RC;
z>Y);Z;tAwLQllvpDSaTbK`Da~>?{UQ{=cWr$goL^k-<w>oq?Iblu4a|g&~+_0RtPu
zcl84dYz(V39x$*msB1oEU}fM@XJBMwDAZ(T1hE|$*%(e}IWV#_uxcM*WMfd(W?*7t
zNY+(gVq=)2=fK3qpr)U|#Kusg-@wGia7TXu6B~o4!2u>VhSdfSnAjMW87f3GvoRza
zJ20~`%rQw|W@A`n+Q7`lFwbHEGf3M3W{|cA%ph$HEFf(PEFf(TEMTL-WCIHuLjfq3
z7#NE3%ZtM^OESV4lJXOaQYLF~=xF357MFx2=9H!~l!3{N#GEvSOol85s02f1v425H
zX71z+4sDi_)ZBu}lQ^OolPAC6NMkIY?7?X=xr%eD3rBKBYH_h%axsTK10x&1q>QqH
z+szL)$+HWRTo|fcvdZ7?`}LPo@@lW{=1s{S42&J0jM&pMb5fCXgiTi9(sAH~>Tl>!
zINv_``l6k+ajINpa&LDY?AV#WJ$H$UW2(1$duhT(Zx^oO%-n*U)C#@iVz{n-le@WW
zmA)vLpZ~#l^wHTq>yGY2^(xj($ub5kjvGJM@Wo6|5SL!XKlv4x5l5p@qgkU(qw{1H
z?g$vCcXA821B~-_@)_=_j24@dc#>5@nSw#dg`1O+fs;vy2~_woGL@ro6qz_=85o%=
z85x+X^;j5K8HzbU#jOZOA~#gH7)h8>AaasXK|ObHWpPPru3kuLMTrFC@+8LPnT*R@
z7?<}kE}zA?d==yJ-HgjGaWG0UhBEmu2{f!=Vqjnt<78xDWkGU=I1>jC$SPh219k>R
zCQpzHv{)F}8S>dceKvNEVkQQ52AGCaMg~zP4qlK9Z#{z!3j-sQFGxoa3j;F)7Yl;`
zL$ClylAR+Kmo_9_0Z?81455M`T|6AYAQLOa7)2PxnG(eqnbesYzA-f{W@_wUYBWn_
zW?*1c=VWBy1-rSPnSqBvhJ}HXDIXE4>P#HqkYfaOu7p4wWhPK<#=^kE;K9Nm#A3+_
z2~bF2=R-o33uHU5NFvyFUM2xCMn*@b5~hYXOcvHG3=E8BoQw=sOdQ+{8cYoQ46;lN
z0t|9YIv{hI8NfDaf+WF43W5AB4DOsURkATQOl4}=*=WJK`J{n4qnIexSeo2s<RQ(*
zz`)4L%E(~B#=*v*1~P<^t&)i`y-A3D^GhQ|CULCsyVhp1qG=){$K+<ye~g@yo6HIs
zxh8)x3t;4)>}sCE$TNABc_t(GWD$#0M&8X;77~n1eSDK&8hxMKZN*iu!p6YOz{|qG
z!Jq;PBP}LSlZlCek%fVgK^YWu`XFItkgy&T1206CDu@g5X(6a5!or{^!obY{76uyw
z>gW<>f(j#p5Yz}psY-uF0mcZ%hCarIQ;bcWjLoYUTca7<JSK0nQgmQ!Tg=#Yo3Wjr
zsjZB$V-jP>DaMX}OdY8W&-ob`82wlo8Tgnum>Be!7=#!&nYfrh)eAU}2{LhjQt{-k
zRtlohOdKMhs1t(_Tucls3>=eHtrhuVK?#E)QV`VZ)>NAuVjb(H$jHyA&Da#jn8egD
zgMq1$nJJR3sfQ7Selj*2Fg2?;JObHWLX_PC2)p6d_BccBFhH>*4rFQ5X~t$Irly}w
zHv||M7#n7?GBTL5aIi73gAz3>g9Qhu5aDNt=A8V|T9}b@GOLXdhnkQ-8z^~BwzAPq
z6XbGa0)+%KNFg{RG?+L9APJwj+JlWjh#`^(l;$}(vYFwbCBVcX#2^3)L@;5<#304M
z$-#wCAPNdX&@cnY9o#IF9c>*Z-?b5xXW`%g83xV?!b}{ZpyC2b2s1HoPmZ!xpR8{y
z$OzIQ#R3)5jg@p^W8i0q<pG5|V^$<112Zd<h(KMU5Q8eHB;sTOxq*oR>=7PN@dHkO
zFpmg<?1p#*sz!>1gKP3fV=-Z6CJq&tuN~MJ_!ts-Cp%h-)q}N&NhESHaIztpt-{11
z#$e3EpvS<-0xF8joj?wZ2Zxj{U!oW&2Z%CAfXV<~4$$xnQ)LEY0Aph_W8+rFrdf>L
zIgEX8*=iVT7#j|<HN0eOc*)jyld<t8W7AHirVWhE#*EE}7+V6FtXq1STHY|VO=4>M
z%G7a!sZ*7y#e=C?i?Mq;Q+FR@_gAJKf5x7POg$Y;-ESCsZ!+~>5My))jlMOCP5x=-
z$R5Vcz`)q3G}+5MfIW@}#5SC~-aG;-?l@V}B7mdeH7`gaU~;|1V@{^ZWKIyTY;wC<
zEIWkV4PsZv34+8IvNAFVF>!E!;u}$ziZBVWz*CSY69*pyIQfD@pQSR5g+YuVPzY3c
zFmgFFGB6iAu`uv6#B+f}cm)z!L7~XQSi#t^g{fgRQ@$7@Xs}B{)(A}L8!-R?;b@G{

delta 2836
zcmZ26jd4ZI1e5v@b_NFJItB&}4hDt*Mg|7u;F6-uy!2uQ1_p)-P6h@R1_lP@&|rod
zP6mbo5ZgV}(}jV7;SDDPgN+FTgR)ajei8!%L;cJz9U|An{rk*M>p5=zKQXy>+8Is;
z2DWffCJs(61_nk31_mVt1_o{h1_n+B1_o&c1_l8J20jK41_lNh1_lNmkmSUJ+V$*E
zS$hTshDZhm24)5Z1|bFp25kmL1``G*h6DyihD-(~hN%pU4D%V77%np~GTdcgV$fh@
zWUydlV(4IGWSGIo#BhO;k>LR&6UZYdn33U@8nOTr!$S=apPAv81~bEydTnNgDLTvy
zY`V-0;kwKWdvuu@)byAcy7fScSQwV-voJg}U}1P_2;##qBZHm^BZH|4D+3b)BiOSH
z3}Q?S3?M!$10#bI0|Uct1_+;nfsx?}0|SEul+Ve)$e_f?z;Fu8uV-T5VPIq^W@KQ9
z0EZP5125D-eozoGFf;H$`L4{M@MLBXWng4bXJBA3hRTaEFf!C5@x>V!89p&EFi1h=
zB^VePEEyRXyrFzakOLVRz>eguXJBTKVqj$OVq{>@hboX}U}Tub$iSe(2(eIxfstV|
zBLjmqR9=>Wk>M*N1H(=zUygy1;V&ZtLm!kc&%ns=fC&<vJPgbXN>C4!GlJrsnL&+#
zkwKe*f#C=!A%PUAg94F}fgu>2Fqj!M7#JD27#SG6pnOdRMg~bn1_n?Z@G>wnXh97O
zWnf?c@j+<?lx{2;KuL_5K?f=yg~SJ?NRavb49pC=Q28(hhI$5&fIb5wIGMVFlPNQU
z0aQT~lyAtu$N);HpnM|8z|3F-l?Pb>;+sJAdx8@$GlMBqK93QUn3);O85kJ^85kJc
zq4E|W4>2$>*n=WYh=G~Gl7W#yk%56h7plODfsp}ZIVih;<gFPP!3ky#RNjVxk>N1|
z14Aa1Z_B{Q@P&baA)JAML4<*s!4B$xBa9HfD^i*P$-BYQ3@G7%1l*Al4T$f7lxRSF
zPozWx;(H;b8Bqpi25+c^$&3sPAiggHBZDvl1H%ah2;Yx^k>M=^B#J@u{tS!^-$3yX
zier#K00ScfD>RP97?>FXp$492W?%sEgP}nf!T{liK!eZ+$`55=WY7Uy29XbAU}TuU
zz`!60l@DiNWH`*gz%YXeA|JuP$iM{3IQCG1NCrlRTxJG_FmTpkVu*q|fD2qeq4GiH
zz%>R?G54H-fq@B}9YN_Fl;gV?7#P?XY#A9C*cr0HIRX?8JYW%C29PWtSX>YsKJ^R?
zx}c;9E-e`u=7Eg^8O_W9GMWWkSh6yJ9Kpum%)r3F0XBjQO!9z9J_dG11_pkRYZwF=
z%)u!FM2awg@`D(d6bENsX>b`J!;s3rz#z-;9psC8a57_LFaldV4O{?&+`|Gkhzo2q
zH-kGk=YkAnU{GTO*#u!j$fMwp;ARAc1Vp47ECOMl1+yiPWI>)`WY`F{s~+Tb7LbVy
ztY9nI!6YY`<YoZHHV@bbkotsB2<;&<gczXSW(1{wCa`53V83#L{mKOvVE_j^BSR_J
zr3i<zffE`B!!mGz4e})y*oneWU5pGZ8jK7w+Ug9<42(?b3@i-tEDIRe7-nfKU|?ss
zu5p-wmEnfkV=(EZz{tk%T_b^!jlopAfsu_NPiFxm8^aHs1B`48e!34B*%;R8GBB|*
zNb4yuu`$%@IWVy?ROmM_u`z5kSir=_aMbVs6C1;OV+MxF8+dd?$`W%*QyDT6bJ7?x
z8L}915{pa1CbRHrPd4F=nmmO!aq=Hty~#R!lLgt+GILV(l8ZU?85r64C1sQ+GxO`%
z!+4<zGnb|o$2`^#TN&wbW|Ps?ml>Njzf8X&^hhmq|Dz`PBss3)%-n*U)C#@iVos<L
z4PBG-`E8XBD4caoRI!ctbc`=kH2QV^<;r7>?+m@?Nfpfg^R4x%bI6s+=lG2{8vZph
zHF7laPv#JafN>%xX9zgJI6EhA5SYqnzS&JMS%rnM(SmWaxP>|6<bS3GVxo*IL>N~{
zGp;aWT;agD!iRB14C9L2$tji|(o75tjI6AT3>Iu0Yz%5l4D1YyOqEQG=}kh+n~z&6
zGKpi;$+((t@_*|@MwZEmHvbq|CnwkzvavBRFgDDbyvp5?n}bn=$%~0wj4_OTva($Y
zBgf<pyG%BAkb+~AS9k<WcDEN`;{<W9P4av^*}=hpiHmFUam(*&iemo!3<gXL+zc{o
z4BQNiER`mV0*n!i4SkFarx=?$8Jkxzwnk4Db5c}pxXaDJz-Y+I$e_o>A;iGR#073p
zFfx@hG6*tpure?(PcC;-5Kv>{kY><eVvvOpT$9&0DNerZoUJa;D8ks}&*;t6(8$2l
z@P^5Wt*Mp~gkCW=D>5}pG;#1SFffKr@>H4J<HEtnF?p(s5wnJn|K#&7+7_G~-pruV
z3v8VL$N>UO3_=WGf|G>{At%bjAp$De7(p!`Zl=izu7Qjo(s}YPS3WSyVX~haTfK4^
z8-pZ+w>VgBLL?&tv#1Lj13yD74@g8HFHwjAVlEQ{*iIED4lxEDCI)3tATcs9mpg$}
z$Mb;Nq`Z8Ite|MLV+>$yY-6iotYK_8$ky<ZvEe0K<0{6+Rg6vAj7@);nw^-M>zG<q
mm|7E*nA+Kx+8vpizA!Z@F?MD#btZ~2vVodmvPNJ^-v|I5xor>t

diff --git a/obj/Debug/net6.0/ref/lpr381.dll b/obj/Debug/net6.0/ref/lpr381.dll
index 90c4238f22b65333aa669fe394c6ffa150f2bcec..32e9914f7ddb5887d3d2f297fbb98a291fbd678a 100644
GIT binary patch
delta 920
zcmZoLXfT-2!7??zW8TCb8OCE1SB5i|OlD+MXN~Y=V33)t$fPqllF^^-3?~BvgTrJ+
zF5%4w8SR+_mbd)7wY=?-%i2dL>vnaj&Dbo+@}7~2VZ~%dHeps4P6h_X$%;(olLOc^
zEYC1AFeukCFj%lKFr<Lk!6ikRdFjOr3=9l&*cljD7#J9oLxUL>urn|SfY|P#o-Paw
z3>zkIWYZVqVPIeY*$tB6Wnf^CpZt+cR&pZ~8^a$)5V?<G9uq&qMJ5IYHii?78z-x?
z>x+ZL1(;lz*cjxQLF6(95NSI(mtC{|E0ZMyBLgD?1ET=LC5DY)9ut_io)N@j0=q|m
zp@)fq!IgoTft3N|s#FFDj~&c2V21D@?lJ`PSQ)s$av;)`ft`UH%!>xgu`_^tA;93x
z%wWI(lH_AxRuo{c1slrFAi$u;@SI77L5)F*NrQon!G&3yfsNq-lOBkiY|f!vKZA*l
zfsrA=0Tg6y5;K?_QFv}BJR~`WBs6_UrZB`X_@L-Rl9NEQuO5#v4S3{oaLYlh;AEJ=
z#K<7X0J2b$VFnWygC>}5$S{LRfWZ<>Ix?t&IG$imAef8<lZjw56Re?;VaDV{&Qj;a
z3`z{Y7#1@KG59e)0J9%MNstILBS@B+5yW-|vz@{0WH37!%x<2{%Vo>S!wd>*9tO6}
zp<Jm<oXHuf#l?;}>G_j)@+fkHdByoTWvNAzZ}MEk$PAPB@LDh$O#aF%&n_b><jW|e
suvwZ<kWpxkC&*9;-UebjOjHzOTroM6zi>03z%N#&6PDn7G|_+^0Ap9ETmS$7

delta 818
zcmZoLXfT-2!SasJaR0;}8OFMaE5jLeCNnasvkG`JFvv_+WYU=&$>`76vUw$AIFo=t
zed?KCT+S|it_$-lJgyzxEXeYnk%=K;G9#NX>mCjU2FA&XOy-jV*fcC>Ff%YH*D)}#
zurM$LfY`w$MVWc&#S9D#3?b|c3@i)`49cOw3=!-M3<4mwd#I-i0|P_G<c)0lg4_%Y
z44e!M415d>47>~s46>6yvdK!$W@2Ob!w4exF?2BTGwfz!U|?f7!8m)eI=j9&NL+x)
zg^7)UlNm%VV*rurlXKZM>+dsJGB7eQGB7X-FkE7o4dyX{dFvTLJSMPv1Q=2o7#Lg`
zm>F0ZK(3NvhVa<IJZUhGm4O4y;{vN>2fI>$!4)jW&Hxe>U@(R9co>)!1sH4@7?c=X
z8Q2;47}OXpGN~}AF-S3KFt9P`F>5ohF`Q!31Cf(mIh1vqnAjK?83G(Yfz&3^#N>#=
zb3@@dPTt5NS&yy*RX<K1Lm8S)NGchUaLY+R?Bir;Vq#<vWN30?Vq=hGXky}G&}0Bf
z88S362{2fKNk=g02_^%<WF(kO1e2Ly^^FWole;-f%@;5zG5lgU3?+pa{1_jD*^e1O
zY-L7}tTH2r?F?o+gW1WGow;nezcGP=iyIVYn>)EunI`|>QJAd4dqIeS0X@A=X5q77
z)R}C{C(kY+D&)&3B(pi0Pmqx}#1mu$1m{g|<d<elm^_!iaIyiD$7Vi(U#v_Gmf)m5
H(SRKQ{Wyx!

diff --git a/twoPhaseSimplex.cs b/twoPhaseSimplex.cs
index 3f640d4..411935b 100644
--- a/twoPhaseSimplex.cs
+++ b/twoPhaseSimplex.cs
@@ -41,12 +41,42 @@ class twoPhaseSimplex
         table = prepareTable(newTable, constraintsList);
 
         // print table
-        printTable(table, varCount);
+        printTablePhaseOne(table, varCount);
+
+        flipZ(table);
+        printTablePhaseOne(table, varCount);
+        bool isOptimal = isOptimalPhaseOne(table);
+        while (!isOptimal)
+        {
+            int pivotCol = findPivotCol(table);
+            List<float> ratio = ratioTest(table, pivotCol);
+            int pivotRow = findPivotRow(ratio);
+            table = pivotTable(table, pivotRow, pivotCol);
+            printTablePhaseOne(table, varCount);
+            isOptimal = isOptimalPhaseOne(table);
+        }
+
+        table = dropCol(table, varCount);
+        isOptimal = isOptimalPhaseTwo(table);
+        printTablePhaseTwo(table, varCount);
+        while (!isOptimal)
+        {
+            int pivotCol = findPivotCol(table);
+            List<float> ratio = ratioTest(table, pivotCol);
+            int pivotRow = findPivotRow(ratio);
+            table = pivotTable(table, pivotRow, pivotCol);
+            printTablePhaseTwo(table, varCount);
+            isOptimal = isOptimalPhaseTwo(table);
+        }
+        
+
+
 
     }
 
-    void printTable(List<List<float>> table, int varCount)
+    void printTablePhaseOne(List<List<float>> table, int varCount)
     {
+        int count = 1;
         string[] headers = new string[table[0].Count];
         for (int i = 0; i < table[0].Count; i++)
         {
@@ -56,10 +86,48 @@ class twoPhaseSimplex
             }
             else if (i < table[0].Count - 1)
             {
-                headers[i] = "e" + (i - varCount + 1);
-                headers[i+1] = "a" + (i - varCount + 1);
-                headers[i+2] = "s" + (i - varCount + 1);
+                headers[i] = "e" + (count);
+                headers[i+1] = "a" + (count);
+                headers[i+2] = "s" + (count);
                 i = i + 2;
+                count++;
+            }
+            else
+            {
+                headers[i] = "rhs";
+            }
+        }
+        var conTable = new ConsoleTable(headers);
+        foreach (List<float> row in table)
+        {
+            // convert row to object array
+            object[] rowArray = new object[row.Count];
+            for (int i = 0; i < row.Count; i++)
+            {
+                rowArray[i] = row[i];
+            }
+            conTable.AddRow(rowArray);
+        }
+        conTable.Write(Format.Alternative);
+        
+    }
+
+    void printTablePhaseTwo(List<List<float>> table, int varCount)
+    {
+        int count = 1;
+        string[] headers = new string[table[0].Count];
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            if (i < varCount)
+            {
+                headers[i] = "x" + (i + 1);
+            }
+            else if (i < table[0].Count - 1)
+            {
+                headers[i] = "e" + (count);
+                headers[i+1] = "s" + (count);
+                i = i + 1;
+                count++;
             }
             else
             {
@@ -94,21 +162,32 @@ class twoPhaseSimplex
             }
             newTable.Add(newRow);
         }
+        List<int> rowsWithW = new List<int>();
         List<string> signs = new List<string>();
         foreach (Constraints constraint in constraints)
         {
             signs.Add(constraint.sign);    
         }
+        // ammount of values in newTable startring from newTable[1])
+        int varCount = 0;
+        for (int i = 1; i < newTable.Count; i++)
+        {
+            varCount = varCount + newTable[i].Count;
+        }
         for (int i = 0; i < signs.Count ; i++)
         {
             table[0].Add(0);
             table[0].Add(0);
             table[0].Add(0);
+            int temp = (newTable[i+1].Count-1) * signs.Count;
+
+            
             // add 3 0s to each row for every column in table
-            for (int j = 0; j < newTable[i+1].Count-1; j++)
+            for (int j = 0; j < signs.Count ; j++)
             {
                 if (signs[i] == ">=")
                 {
+                    // make s = 1 
                     if (i == j)
                     {
                         table[i+1].Add(0);
@@ -124,11 +203,13 @@ class twoPhaseSimplex
                 }
                 else if (signs[i] == "<=")
                 {
+                    //make e and a = 1
                     if (i == j)
                     {
-                        table[i+1].Add(1);
+                        table[i+1].Add(-1);
                         table[i+1].Add(1);
                         table[i+1].Add(0);
+                        rowsWithW.Add(i+1);
                     }
                     else
                     {
@@ -139,11 +220,13 @@ class twoPhaseSimplex
                 }
                 else if (signs[i] == "=")
                 {
+                    // make a = 1
                     if (i == j)
                     {
                         table[i+1].Add(0);
                         table[i+1].Add(1);
                         table[i+1].Add(0);
+                        rowsWithW.Add(i+1);
                     }
                     else
                     {
@@ -155,14 +238,198 @@ class twoPhaseSimplex
             }
         }
         table[0].Add(0);
+        // create list of floats called wRow size table[0].Count - 1
+        List<float> wRow = new List<float>();
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            wRow.Add(0);
+        }
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            // if i is in rowsWithW
+            if (rowsWithW.Contains(i))
+            {
+                for (int j = 0; j < wRow.Count; j++)
+                {
+                    wRow[j] = wRow[j] + (-table[i][j]);
+                }
+            }
+        }
+        //add wRow to the start of table
+        table.Insert(1, wRow);
+        
         // remove intex newTable.Count-1 from table and place it in the back of table
-        for (int i = 1; i < table.Count; i++)
+        for (int i = 2; i < table.Count; i++)
         {
             table[i].RemoveAt(newTable.Count-1);
-            table[i].Add(newTable[i][newTable.Count-1]);
+            table[i].Add(newTable[i-1][newTable[i-1].Count-1]);
 
         }
+        // remove the value of newTable.Count-1 from table[1] and place it in the back of table[1]
+        float lastValue = table[1][newTable.Count-1];
+        table[1].RemoveAt(newTable.Count-1);
+        table[1].Add(lastValue);
+        
+        
         
         return table;
     }
+        static List<List<float>> flipZ(List<List<float>> table)
+    {
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            if (table[0][i] > 0)
+            {
+                table[0][i] = -table[0][i];
+            }
+        }
+        return table;
+    }
+
+        static int findPivotCol(List<List<float>> table)
+    {
+        float largest = 0;
+        int largestIndex = 0;
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            if (table[0][i] < largest)
+            {
+                largest = table[0][i];
+                largestIndex = i;
+            }
+        }
+        return largestIndex;
+    }
+
+        static List<float> ratioTest(List<List<float>> table, int testCol)
+    {
+        List<float> ratios = new List<float>();
+        for (int i = 1; i < table.Count; i++)
+        {
+            if (table[i][testCol] != 0)
+            {
+                ratios.Add(table[i][table[i].Count - 1] / table[i][testCol]);
+            }
+            else
+            {
+                ratios.Add(float.MaxValue);
+            }
+        }
+        return ratios;
+    }
+        static int findPivotRow(List<float> ratios)
+    {
+        float smallest = float.MaxValue;
+        int smallestIndex = 0;
+        for (int i = 0; i < ratios.Count; i++)
+        {
+            if (ratios[i] < smallest && ratios[i] > 0.0)
+            {
+                smallest = ratios[i];
+                smallestIndex = i;
+            }
+        }
+        return smallestIndex;
+    }
+
+        static List<List<float>> pivotTable(List<List<float>> table, int pivotRow, int pivotCol)
+    {
+        //clone table in to newTable
+        List<List<float>> newTable = new List<List<float>>();
+        foreach (List<float> row in table)
+        {
+            List<float> newRow = new List<float>();
+            for (int i = 0; i < row.Count; i++)
+            {
+                newRow.Add(row[i]);
+            }
+            newTable.Add(newRow);
+        }
+        var pivotPoint = newTable[pivotRow + 1][pivotCol];
+        // divide pivot row by pivot point
+        for (int i = 0; i < newTable[pivotRow + 1].Count; i++)
+        {
+            newTable[pivotRow + 1][i] = newTable[pivotRow + 1][i] / pivotPoint;
+        }
+        // current possition-(pivot_row*new_table pivot_point)
+        for (int i = 0; i < newTable.Count; i++)
+        {
+            if (i != pivotRow + 1)
+            {
+                var currentPossition = newTable[i][pivotCol];
+                for (int j = 0; j < newTable[i].Count; j++)
+                {
+                    newTable[i][j] = newTable[i][j] - (currentPossition * newTable[pivotRow + 1][j]);
+                }
+            }
+        }
+        return newTable;
+    }
+
+    //check if the table is optimal first phase
+    // table is optimal if all values in table[1] are positive
+
+
+    static bool isOptimalPhaseOne(List<List<float>> table)
+    {
+        int wIndex = 0;
+        for (int i = 0; i < table[1].Count; i++)
+        {
+            if (table[1][i] < 0)
+            {
+                wIndex = i;
+            }
+        }
+        if (wIndex == 0)
+        {
+            return true;
+        }
+        else
+        {
+            return false;
+        }
+    }
+
+
+    static bool isOptimalPhaseTwo(List<List<float>> table)
+    {
+        int wIndex = 0;
+        for (int i = 0; i < table[0].Count; i++)
+        {
+            if (table[0][i] < 0)
+            {
+                wIndex = i;
+            }
+        }
+        if (wIndex == 0)
+        {
+            return true;
+        }
+        else
+        {
+            return false;
+        }
+    }
+
+
+    //drop all a coloumn from the table and drop w row from the table
+    static List<List<float>> dropCol(List<List<float>> table, int varCount)
+    {
+        table.RemoveAt(1);
+        
+
+        // for each row in table drop the varCount-1th element
+        for (int i = 0; i < table.Count; i++)
+        {
+            for (int j = varCount + 1; j < table[i].Count - 1; j+=3)
+            {
+                table[i].RemoveAt(j);
+                j = j - 1;
+            }
+        }
+        return table;
+
+    }
+
+    
 }
\ No newline at end of file