2023: Day 8, part 1

2023/day8.rb

@@ -0,0 +1,43 @@
+START = "AAA"
+FINISH = "ZZZ"
+
+class Node
+  attr_reader :name, :left, :right
+
+  def initialize(name, left, right)
+    @name = name
+    @left = left
+    @right = right
+  end
+end
+
+raw_instructions, raw_nodes = ARGF.read.split("\n\n")
+
+nodes = Hash.new
+raw_nodes.each_line do |line|
+  next if line.empty?
+
+  if line =~ /^([A-Z]+) = \(([A-Z]+), ([A-Z]+)\)$/
+    nodes[$1] = Node.new($1, $2, $3)
+  else
+    throw "unmatched line #{line}"
+  end
+end
+
+node = nodes[START]
+instructions = raw_instructions.split("").cycle
+steps = 0
+while node.name != FINISH
+  steps += 1
+  instruction = instructions.next
+  case instruction
+  when "L"
+    node = nodes[node.left]
+  when "R"
+    node = nodes[node.right]
+  else
+    throw "unexpected instruction: '#{instruction}'"
+  end
+end
+
+puts "Part 1: #{steps}"

2023/input/day8.sample

@@ -0,0 +1,6 @@
+LLR
+
+AAA = (BBB, BBB)
+BBB = (AAA, ZZZ)
+ZZZ = (ZZZ, ZZZ)
+

2023/input/day8.txt

@@ -0,0 +1,792 @@
+LRLRLLRLLRRRLRLLRRLRLRRLRRLLLLRRLLRLRRLRRLRLRLRRLRLLRLRLRLRRRLLRLRLRLRRLRRLRRRLRRLRRLRRLRRLRRRLRRLRLLRLLRRRLRLRLLRRRLLRRLLLLRLRRRLLRLRLRRLRRRLRLRRLRLRRLLRLRRLLRLLRRLRLLRLLRRLRRRLLRRLRLRLRRLRRLRRRLRRLRRRLLRRLRLRRRLRRRLRLRRRLRRLRRLRRLRRRLRRLRLRRRLRLRRLLRRLRRRLRLRRRLLRLRRRLRRRLRLRLRRRLLRRLLRLRRRLRRLRRRLLLRRRR
+
+FTX = (VVM, VVM)
+LNR = (DQG, CMF)
+NXS = (TKM, FPB)
+FQF = (HDC, NFB)
+SPH = (MQB, XFB)
+FDL = (CTR, NXS)
+DMF = (VHG, LJV)
+JBP = (CKR, VBF)
+MMK = (JVC, NSS)
+LLT = (MVP, QFC)
+VVN = (SHF, XMN)
+CRR = (QNC, JMC)
+RRK = (QCR, VFT)
+JXR = (DSM, RCD)
+BMD = (KPL, CRR)
+HQM = (LDR, LFR)
+VDP = (MGM, GFQ)
+HLV = (GLV, TSS)
+LJQ = (VDS, LGB)
+DVJ = (RJP, DTM)
+VHL = (MFK, PCV)
+LFH = (BTX, VPC)
+NBN = (NBR, DRD)
+NKB = (TRQ, LTT)
+QPM = (VPQ, SQB)
+VFD = (QBK, LCH)
+HRX = (KJL, SJC)
+RKF = (TFS, XMR)
+GQK = (FVS, VDC)
+DTV = (DHQ, PDG)
+MHM = (KLF, QJL)
+GTM = (CPP, JJT)
+LBN = (RFM, KCX)
+JJR = (PNN, HPG)
+MDL = (BQM, RKF)
+DSL = (BMD, GVK)
+MQF = (JXR, SPJ)
+VBF = (QVV, GTM)
+MBJ = (NRH, JCX)
+NRH = (CJM, KHS)
+SCN = (BJC, GTN)
+HRK = (KHH, TSX)
+MCS = (TPF, HBM)
+BQS = (VFD, MNF)
+TPB = (HTS, FLR)
+XVV = (XLX, GDL)
+HGK = (PJC, KBT)
+MXF = (MFC, FQN)
+JVS = (TMB, JPF)
+RFM = (FSQ, MQS)
+XCG = (TPF, HBM)
+CMR = (LNV, LNT)
+BVF = (XXG, MRB)
+KFQ = (DMF, VXS)
+KVS = (VSF, PRK)
+VVL = (QFC, MVP)
+BNB = (GDL, XLX)
+BRB = (LNR, XBR)
+BJK = (QKC, SPG)
+FDQ = (HQR, GQK)
+JPC = (TVL, XDZ)
+JCL = (SJC, KJL)
+BBT = (LLL, XHB)
+FNH = (NNN, LSM)
+QQM = (THC, TQH)
+VDB = (DDR, VSX)
+MNS = (DPG, DBV)
+JCS = (SNH, VDP)
+BGS = (KVS, CLH)
+MDS = (JXV, VFJ)
+JJM = (XHG, PNJ)
+NJF = (BBF, DVJ)
+GKX = (KHH, TSX)
+BXV = (DHM, VHR)
+CMF = (NJF, VCK)
+LQN = (VPV, RFH)
+TST = (BMK, XSS)
+SSB = (KMH, DKD)
+RFH = (SSB, SFG)
+XXG = (TQV, JDH)
+TNT = (FNL, VNQ)
+HDF = (NVD, GQR)
+MQN = (HTH, FXL)
+QSG = (LFP, FQF)
+CKK = (GDS, FDL)
+XXT = (NBM, XFJ)
+PDG = (PPP, HKP)
+FLV = (MBS, BVX)
+HTZ = (DXG, XTB)
+DPG = (TST, TPD)
+DCR = (BFK, TPB)
+PGD = (MBD, KBS)
+FTG = (GLT, MNK)
+GFK = (PMT, JDT)
+HQR = (FVS, VDC)
+VKD = (TQG, KVP)
+KVL = (GQN, VMF)
+SLT = (FFT, TXF)
+ZZZ = (XCG, MCS)
+JJT = (QSG, NLS)
+XGL = (RRC, MRV)
+DHV = (JKB, JXB)
+FFV = (NPN, KVC)
+LTV = (XGF, QPM)
+MRB = (JDH, TQV)
+QHV = (SLB, TGR)
+HLD = (FXL, HTH)
+GLV = (RQT, BXT)
+QFC = (GLF, CMQ)
+SRL = (QVM, FQM)
+TMF = (BTX, VPC)
+JST = (PST, SRQ)
+FFX = (FJJ, MMF)
+FNL = (NNT, LBM)
+MVT = (SJV, TBL)
+SLB = (TKV, CGV)
+TQB = (CCF, VTB)
+NTV = (QPM, XGF)
+DXG = (NVP, JNH)
+CNQ = (QFX, XRT)
+VVM = (BVF, CNF)
+XHG = (HRK, GKX)
+PCV = (GVN, NMN)
+XMR = (KST, NNH)
+GQN = (BRM, FQD)
+CLV = (VMQ, KFG)
+TQR = (HPT, JVP)
+JGH = (DPG, DBV)
+BPX = (JJL, PGD)
+GSH = (NDR, NDR)
+TRP = (BSP, CMB)
+QSD = (VSL, XTT)
+DGL = (CNQ, JMT)
+FFT = (GRM, KMF)
+SHV = (NDR, HTZ)
+TPJ = (MFB, SHN)
+SHN = (TVQ, SMD)
+BXJ = (CMR, STP)
+RKV = (PJR, QHR)
+TRQ = (JVR, QPL)
+CKR = (GTM, QVV)
+QQC = (FMM, DNH)
+PPP = (MMS, BML)
+XFP = (VXQ, XXT)
+KJL = (RBJ, BKT)
+KVC = (JXC, BVG)
+KNL = (MDL, TBB)
+PJK = (GMM, QLH)
+PST = (KBH, QHQ)
+HLB = (HPT, JVP)
+RKG = (BCJ, PQV)
+GSV = (BDF, CCK)
+FBJ = (BSR, GJR)
+BMK = (HPR, MRT)
+PVR = (BGK, JHM)
+PCX = (MRP, TRP)
+JQJ = (HKT, NLD)
+CMX = (VMN, FNQ)
+LGQ = (QPC, XVK)
+XTB = (JNH, NVP)
+DBB = (GRF, RXP)
+DXR = (HSK, BHF)
+TKN = (LPJ, VLS)
+JMC = (JCT, SBD)
+XGR = (VGD, PVC)
+NDR = (XTB, DXG)
+TSX = (RRR, DBB)
+DNR = (SLL, FPC)
+QMX = (HSV, JQV)
+VMS = (CFS, PJK)
+JNX = (RKV, BCK)
+LPJ = (HVL, SDC)
+GHD = (GDT, NKL)
+BMM = (XVL, SJB)
+DFR = (QCB, JRD)
+BQV = (XTF, FRM)
+TMB = (NTK, NPR)
+KDC = (CQD, DDQ)
+LQX = (DXR, MQP)
+SLV = (FKG, MQG)
+NGP = (FVH, FVH)
+NLS = (LFP, FQF)
+GSS = (NSB, VVR)
+JTT = (XFB, MQB)
+MKN = (QHK, XGL)
+TKV = (FTJ, BRB)
+KHH = (DBB, RRR)
+QKC = (JQL, SJJ)
+BVV = (GVQ, LCP)
+VTB = (XGR, LCL)
+TGR = (CGV, TKV)
+QVM = (SGD, QXN)
+DVM = (QSD, XVD)
+XRT = (PHB, QMX)
+NTK = (CVB, QGV)
+MQB = (FCT, JCS)
+GCR = (TSN, VHL)
+HDC = (GSH, GSH)
+XBR = (DQG, CMF)
+XDZ = (LHB, FLJ)
+JNV = (TSB, FSJ)
+TSB = (NDK, GVT)
+RNM = (QDT, DDC)
+NXL = (JGD, HNM)
+JGD = (JXL, PCQ)
+MRP = (CMB, BSP)
+PFB = (RGM, VJQ)
+GFQ = (FRL, KHJ)
+VDC = (RCF, MCF)
+XNV = (MDL, TBB)
+TFS = (NNH, KST)
+DNV = (XJG, BXP)
+LBM = (JVS, CGX)
+TBB = (RKF, BQM)
+VSF = (BLL, HCN)
+VJJ = (LPJ, VLS)
+BSV = (HDF, NSX)
+JHP = (LMP, PHK)
+XJG = (VTL, SSG)
+VPM = (KFG, VMQ)
+MMS = (MPR, HJJ)
+HTH = (GSS, SVJ)
+HPG = (JQJ, TKR)
+JCT = (DDB, CKX)
+TVL = (FLJ, LHB)
+FJK = (NLN, QHV)
+DRD = (GGF, SLT)
+XBB = (PVG, KSH)
+JGX = (MNF, VFD)
+SBD = (DDB, CKX)
+NFB = (GSH, SHV)
+HBM = (CQS, RLQ)
+VSL = (VSR, JMN)
+QBK = (RNT, NTX)
+TMT = (BVH, SCN)
+MQS = (FHL, QBP)
+GVR = (MMK, QFN)
+KPH = (RNG, JST)
+NPG = (VRH, HGS)
+CHR = (VPM, CLV)
+JTJ = (VPM, CLV)
+SGD = (LXP, KBL)
+FXR = (BVH, SCN)
+FKG = (GSV, GTK)
+XFJ = (KQT, VMG)
+HSV = (DCR, HJB)
+QVK = (NBR, DRD)
+MGM = (FRL, KHJ)
+FRL = (PNB, DSL)
+VCD = (VSX, DDR)
+QCR = (DFJ, VQQ)
+RSP = (GJR, BSR)
+NFR = (KVS, CLH)
+FQQ = (JNJ, RFG)
+GLF = (MBG, RKX)
+HPT = (RXG, NSP)
+PLF = (PCX, FVV)
+VDQ = (VSQ, LTB)
+NGM = (LGB, VDS)
+LNT = (VJS, GVP)
+SJV = (HXX, VTN)
+QNT = (KLF, QJL)
+DHR = (XGD, KJC)
+HJB = (TPB, BFK)
+CHL = (NKL, GDT)
+NSS = (VGJ, LCV)
+LCL = (PVC, VGD)
+KST = (LTV, NTV)
+DDR = (RKG, VDM)
+JXB = (NQC, DNJ)
+LLZ = (RRK, GLG)
+TKM = (DCT, CPK)
+GXG = (VTB, CCF)
+BJC = (TKN, VJJ)
+GTN = (VJJ, TKN)
+RBC = (QRX, XNN)
+JVP = (NSP, RXG)
+PMG = (QRX, XNN)
+FXX = (VPV, RFH)
+JXV = (QQM, KVV)
+BTX = (MTL, HNB)
+BVG = (VXM, NXL)
+JVC = (LCV, VGJ)
+LJV = (CHL, GHD)
+PRK = (BLL, HCN)
+MHC = (KVG, KMG)
+MQG = (GTK, GSV)
+RCD = (JGH, MNS)
+FRR = (TDV, GGV)
+HBH = (GBR, DSF)
+HSK = (PLF, DPV)
+DFQ = (RJT, MQF)
+PHK = (HGJ, GNN)
+RHK = (DHV, HFG)
+SQG = (FCP, PDM)
+VFS = (SPD, PFM)
+TPD = (XSS, BMK)
+PQV = (CJH, QBR)
+GDL = (GCR, KTX)
+JXC = (NXL, VXM)
+MRV = (FNH, VQM)
+TVM = (FCP, PDM)
+HKL = (LSR, BRQ)
+TQH = (FTG, TPN)
+FTJ = (XBR, LNR)
+KVG = (PJJ, FDQ)
+LMP = (HGJ, GNN)
+SVJ = (NSB, VVR)
+XNN = (JKR, FFV)
+VXS = (LJV, VHG)
+FVH = (FML, RTR)
+LMN = (XXH, XXH)
+QJD = (PGJ, PGJ)
+KMF = (CVF, TRC)
+XVD = (XTT, VSL)
+PMT = (GML, DPT)
+DBV = (TPD, TST)
+STB = (VHR, DHM)
+HJJ = (PJV, HLV)
+GJC = (GDS, FDL)
+PGH = (PGJ, LLZ)
+MBB = (JCX, NRH)
+BVX = (JHP, VRP)
+HPR = (GPM, BMM)
+QXN = (KBL, LXP)
+VRH = (NFR, BGS)
+TKR = (HKT, NLD)
+KHK = (DNV, MBP)
+LCP = (MXM, HXP)
+BJM = (XLV, XRG)
+NNN = (BNH, FRP)
+NTX = (STG, JCD)
+FMM = (FFX, JCH)
+VPC = (MTL, HNB)
+FKC = (XDD, TTL)
+XHB = (KHK, RCM)
+HRB = (QVK, NBN)
+FPC = (CPR, GQP)
+STA = (BVF, CNF)
+VPQ = (QPK, FNV)
+RDD = (FKG, MQG)
+AAA = (MCS, XCG)
+VLS = (HVL, SDC)
+JCX = (CJM, KHS)
+GNN = (FQL, BSV)
+XGD = (PQK, BXJ)
+NDK = (CLT, MHC)
+XLV = (HQS, KTL)
+DGQ = (CKR, VBF)
+VRP = (LMP, PHK)
+GTK = (BDF, CCK)
+BKP = (RSR, BNN)
+CFS = (GMM, QLH)
+SFG = (KMH, DKD)
+TTL = (HKL, DGF)
+CHB = (MFC, MFC)
+HXP = (JBP, DGQ)
+SPD = (GFK, SXN)
+LLJ = (MBJ, MBB)
+JRD = (QGT, XMV)
+HQS = (LFH, TMF)
+CVB = (CCL, PFB)
+QBF = (PJK, CFS)
+QJL = (HRD, CMX)
+QFX = (PHB, QMX)
+NSB = (QGG, HKQ)
+HCV = (CHR, JTJ)
+RMM = (BCK, RKV)
+FRT = (CFL, SHK)
+QPC = (BRJ, VFS)
+RXG = (TKX, BJM)
+STG = (PNF, GVR)
+LTC = (JRD, QCB)
+GVQ = (MXM, HXP)
+KTL = (TMF, LFH)
+DGF = (LSR, BRQ)
+CLT = (KMG, KVG)
+KBH = (JGX, BQS)
+NBM = (KQT, VMG)
+XMN = (HQM, NVS)
+HCN = (TPJ, LJK)
+TDS = (RJT, MQF)
+LTB = (DGL, KQH)
+VNQ = (NNT, LBM)
+BLQ = (KJC, XGD)
+GDS = (NXS, CTR)
+FRM = (GVX, LBN)
+GML = (QNT, MHM)
+QNC = (SBD, JCT)
+RQT = (TQB, GXG)
+GGV = (XVV, BNB)
+HFG = (JKB, JXB)
+VJQ = (NPG, PPK)
+GDT = (NSH, PMX)
+VMF = (BRM, FQD)
+HKQ = (QCX, FLV)
+VVR = (HKQ, QGG)
+JQL = (TQR, HLB)
+BXP = (SSG, VTL)
+KBS = (LJQ, NGM)
+BNH = (DFR, LTC)
+BSR = (QBF, VMS)
+RFG = (GCH, FXF)
+XGZ = (CNF, BVF)
+VMG = (KKT, VKD)
+JCH = (FJJ, MMF)
+QHX = (CHB, MXF)
+FXL = (GSS, SVJ)
+CCL = (VJQ, RGM)
+GMM = (RDD, SLV)
+FFN = (VXS, DMF)
+CFK = (FMM, DNH)
+BKT = (JFV, MVQ)
+HTJ = (HFQ, KJH)
+BQM = (XMR, TFS)
+LJK = (SHN, MFB)
+CGX = (JPF, TMB)
+PHB = (HSV, JQV)
+FVS = (MCF, RCF)
+LFG = (JST, RNG)
+FLC = (XXH, PRN)
+JFC = (GBR, DSF)
+FRP = (LTC, DFR)
+MTL = (FBJ, RSP)
+GLG = (QCR, VFT)
+MNF = (LCH, QBK)
+NVP = (HBH, JFC)
+CJS = (TNT, RNF)
+QCX = (MBS, BVX)
+KJC = (BXJ, PQK)
+TMZ = (RTR, FML)
+QGG = (FLV, QCX)
+XSS = (HPR, MRT)
+RNG = (PST, SRQ)
+KKM = (PJC, KBT)
+FQM = (SGD, QXN)
+QDT = (PHQ, QHX)
+DPT = (MHM, QNT)
+KFG = (VBX, KDC)
+NPN = (JXC, BVG)
+RNT = (STG, JCD)
+PNF = (QFN, MMK)
+MPS = (FVH, TMZ)
+LHB = (VVN, CKN)
+FCP = (XBB, BFC)
+CKX = (FXX, LQN)
+XLX = (GCR, KTX)
+QFN = (NSS, JVC)
+FML = (BPX, KDV)
+CPP = (QSG, NLS)
+FQL = (HDF, NSX)
+GVT = (CLT, MHC)
+NDN = (MBJ, MBB)
+GPA = (GLG, RRK)
+PGB = (XFX, RHX)
+RRC = (VQM, FNH)
+MQP = (HSK, BHF)
+GLT = (XFP, JMV)
+GVN = (JTT, SPH)
+CPK = (BBT, PXB)
+KCX = (FSQ, MQS)
+KQH = (JMT, CNQ)
+JQV = (DCR, HJB)
+CVF = (HRX, JCL)
+TQG = (NGP, NGP)
+GVP = (BJK, NMS)
+NVS = (LFR, LDR)
+NKL = (PMX, NSH)
+SKF = (KJH, HFQ)
+NSP = (BJM, TKX)
+JHM = (VDB, VCD)
+DPV = (PCX, FVV)
+LLL = (KHK, RCM)
+XVK = (VFS, BRJ)
+JNH = (JFC, HBH)
+HGS = (BGS, NFR)
+VMQ = (VBX, KDC)
+DSM = (MNS, JGH)
+HXX = (SKF, HTJ)
+LXP = (BJH, FJS)
+TVQ = (CQV, FRR)
+RJT = (JXR, SPJ)
+RRR = (RXP, GRF)
+TKX = (XLV, XRG)
+MVP = (CMQ, GLF)
+BGK = (VDB, VCD)
+TQV = (MVT, TNC)
+DDB = (LQN, FXX)
+FQN = (HGT, ZZZ)
+DQG = (VCK, NJF)
+MRT = (GPM, BMM)
+QGV = (CCL, PFB)
+GRM = (CVF, TRC)
+FLJ = (VVN, CKN)
+BRM = (LLJ, NDN)
+NQF = (FTX, TJR)
+JKB = (NQC, DNJ)
+CMQ = (RKX, MBG)
+FLR = (XNV, KNL)
+TPF = (RLQ, CQS)
+JMT = (XRT, QFX)
+MVS = (PDG, DHQ)
+BRQ = (MNN, SRL)
+QDG = (FTX, FTX)
+NLN = (TGR, SLB)
+PHQ = (CHB, CHB)
+QRX = (JKR, FFV)
+FJS = (LVV, DVM)
+JDT = (DPT, GML)
+HNB = (FBJ, RSP)
+KPL = (JMC, QNC)
+LFR = (MCR, BQV)
+JPF = (NTK, NPR)
+VHG = (GHD, CHL)
+KQT = (KKT, VKD)
+LKA = (XTB, DXG)
+JXL = (GCM, RHK)
+FQD = (LLJ, NDN)
+CCF = (XGR, LCL)
+FNV = (LQX, KMS)
+MBS = (JHP, VRP)
+RGM = (NPG, PPK)
+CQS = (TTB, CJS)
+DFJ = (KVL, RJG)
+RQQ = (LGQ, HPV)
+PBF = (STB, BXV)
+NBT = (QHK, XGL)
+PRN = (PVT, JPC)
+CBF = (FKC, KKL)
+PVC = (DFQ, TDS)
+THC = (FTG, TPN)
+LCV = (GJC, CKK)
+SJB = (QJD, PGH)
+HNS = (TMT, FXR)
+TJR = (VVM, XGZ)
+PQK = (STP, CMR)
+MBG = (CCX, FJK)
+KKL = (TTL, XDD)
+PXB = (LLL, XHB)
+RTR = (KDV, BPX)
+PJC = (DTV, MVS)
+DDQ = (TFD, GSR)
+QCB = (QGT, XMV)
+MBD = (NGM, LJQ)
+VTD = (BGK, JHM)
+CJH = (RNM, JRQ)
+VHR = (CBF, XCQ)
+QPK = (KMS, LQX)
+BBJ = (FXR, TMT)
+JCD = (GVR, PNF)
+NBR = (SLT, GGF)
+PNJ = (HRK, GKX)
+VXM = (HNM, JGD)
+JFV = (RQQ, TKD)
+FHL = (JSL, DNR)
+VQM = (NNN, LSM)
+CKN = (SHF, XMN)
+NMS = (SPG, QKC)
+FNQ = (JHK, TFV)
+SSG = (FKV, BPG)
+XFB = (JCS, FCT)
+RSR = (PBF, HCX)
+KBL = (FJS, BJH)
+HKT = (PVR, VTD)
+CPR = (FSN, JRH)
+BDF = (HGK, KKM)
+KVP = (NGP, MPS)
+LNV = (VJS, GVP)
+SXN = (PMT, JDT)
+HGT = (MCS, XCG)
+TNC = (TBL, SJV)
+KKT = (TQG, TQG)
+KTX = (VHL, TSN)
+XFX = (GXX, HRB)
+VQQ = (RJG, KVL)
+KHJ = (DSL, PNB)
+GCH = (NRR, NKB)
+VPV = (SSB, SFG)
+KMS = (MQP, DXR)
+QPL = (JJM, NDS)
+FVV = (MRP, TRP)
+MQV = (RSR, BNN)
+XGF = (SQB, VPQ)
+DDC = (PHQ, QHX)
+PQH = (FSJ, TSB)
+SGV = (VSQ, LTB)
+SHF = (HQM, NVS)
+CCX = (NLN, QHV)
+SPG = (JQL, SJJ)
+HGJ = (FQL, BSV)
+MNN = (QVM, FQM)
+PJJ = (GQK, HQR)
+TDV = (BNB, XVV)
+PNB = (BMD, GVK)
+GQR = (MKN, NBT)
+MPR = (HLV, PJV)
+JSL = (FPC, SLL)
+QHK = (RRC, MRV)
+FSN = (CFK, QQC)
+HFQ = (KPH, LFG)
+BRJ = (PFM, SPD)
+PJR = (HLD, MQN)
+KVJ = (GVQ, LCP)
+VCK = (BBF, DVJ)
+LSR = (SRL, MNN)
+HVL = (QDG, QDG)
+KBT = (DTV, MVS)
+GGF = (TXF, FFT)
+DKD = (TVM, SQG)
+DNJ = (LMN, FLC)
+NNH = (NTV, LTV)
+TRC = (JCL, HRX)
+BML = (HJJ, MPR)
+BJH = (LVV, DVM)
+QHQ = (JGX, BQS)
+PMX = (MDS, THH)
+JJL = (KBS, MBD)
+BFC = (PVG, KSH)
+HKP = (BML, MMS)
+FNT = (KVJ, BVV)
+JKR = (KVC, NPN)
+VBR = (BVV, KVJ)
+BCJ = (QBR, CJH)
+FPB = (CPK, DCT)
+XMV = (FFN, KFQ)
+CQD = (TFD, GSR)
+DFA = (FML, RTR)
+KMH = (TVM, SQG)
+JMN = (RMM, JNX)
+JDH = (MVT, TNC)
+GPM = (XVL, XVL)
+DHQ = (PPP, HKP)
+XTF = (GVX, LBN)
+RBJ = (JFV, MVQ)
+XXH = (PVT, PVT)
+RJP = (HNS, BBJ)
+JRQ = (QDT, DDC)
+KMG = (PJJ, FDQ)
+MFK = (NMN, GVN)
+KSH = (JJR, JHJ)
+XTT = (VSR, JMN)
+RHX = (HRB, GXX)
+VSQ = (DGL, KQH)
+GJR = (VMS, QBF)
+VMN = (JHK, TFV)
+HTS = (KNL, XNV)
+LVV = (QSD, XVD)
+BHF = (PLF, DPV)
+QLH = (RDD, SLV)
+VDS = (JNV, PQH)
+RCF = (MQV, BKP)
+LDR = (MCR, BQV)
+VTN = (SKF, HTJ)
+TPN = (MNK, GLT)
+QVV = (CPP, JJT)
+KLF = (HRD, CMX)
+JHK = (FNT, VBR)
+DSF = (PGB, CCS)
+NMN = (SPH, JTT)
+SNH = (GFQ, MGM)
+CFL = (VVL, LLT)
+MVQ = (TKD, RQQ)
+KDV = (PGD, JJL)
+KHS = (HCV, FDS)
+GVK = (KPL, CRR)
+NLD = (PVR, VTD)
+BBF = (DTM, RJP)
+SDC = (QDG, NQF)
+SLL = (CPR, GQP)
+FJJ = (VDQ, SGV)
+MFB = (TVQ, SMD)
+JNJ = (FXF, GCH)
+VFJ = (QQM, KVV)
+GVX = (RFM, KCX)
+PCQ = (RHK, GCM)
+CGV = (FTJ, BRB)
+XDD = (HKL, DGF)
+CLH = (VSF, PRK)
+QBR = (JRQ, RNM)
+BNN = (PBF, HCX)
+DNH = (FFX, JCH)
+BSP = (FQQ, PDQ)
+TFV = (FNT, VBR)
+GCM = (HFG, DHV)
+CMB = (PDQ, FQQ)
+FXF = (NRR, NKB)
+VSR = (RMM, JNX)
+NSX = (GQR, NVD)
+GRF = (RBC, PMG)
+JRH = (CFK, QQC)
+FCT = (VDP, SNH)
+FSQ = (QBP, FHL)
+MBP = (XJG, BXP)
+FSJ = (GVT, NDK)
+NVD = (NBT, MKN)
+NRR = (LTT, TRQ)
+MCF = (MQV, BKP)
+SQB = (QPK, FNV)
+HPV = (QPC, XVK)
+PFM = (SXN, GFK)
+TTB = (TNT, RNF)
+HRD = (FNQ, VMN)
+PGJ = (GLG, RRK)
+XCQ = (KKL, FKC)
+CQV = (TDV, GGV)
+CJM = (FDS, HCV)
+LTT = (JVR, QPL)
+BVH = (GTN, BJC)
+STP = (LNV, LNT)
+QGT = (FFN, KFQ)
+VTL = (FKV, BPG)
+MNK = (JMV, XFP)
+VXQ = (NBM, XFJ)
+KKA = (FLJ, LHB)
+SRQ = (KBH, QHQ)
+VSX = (VDM, RKG)
+CQM = (CFL, SHK)
+PNN = (JQJ, TKR)
+KVV = (TQH, THC)
+MXM = (JBP, DGQ)
+TSN = (PCV, MFK)
+XRG = (HQS, KTL)
+PVT = (TVL, TVL)
+LFP = (HDC, HDC)
+CCK = (KKM, HGK)
+SHK = (VVL, LLT)
+RLQ = (TTB, CJS)
+BPG = (FRT, CQM)
+TSS = (RQT, BXT)
+CCS = (RHX, XFX)
+NQC = (LMN, FLC)
+BXT = (GXG, TQB)
+PJV = (TSS, GLV)
+NSH = (MDS, THH)
+NDS = (XHG, PNJ)
+TFD = (DHR, BLQ)
+PDQ = (JNJ, RFG)
+VGD = (DFQ, TDS)
+DCT = (PXB, BBT)
+LCH = (NTX, RNT)
+MFC = (HGT, HGT)
+DTM = (HNS, BBJ)
+FDS = (CHR, JTJ)
+BLL = (LJK, TPJ)
+GXX = (QVK, NBN)
+JMV = (XXT, VXQ)
+LSM = (BNH, FRP)
+JHJ = (PNN, HPG)
+RKX = (FJK, CCX)
+RXP = (PMG, RBC)
+RJG = (GQN, VMF)
+HCX = (BXV, STB)
+PDM = (BFC, XBB)
+SJJ = (HLB, TQR)
+BFK = (FLR, HTS)
+VJS = (NMS, BJK)
+CNF = (XXG, MRB)
+VDM = (PQV, BCJ)
+QHR = (HLD, MQN)
+SJC = (BKT, RBJ)
+RCM = (MBP, DNV)
+QBP = (DNR, JSL)
+MMF = (SGV, VDQ)
+VGJ = (CKK, GJC)
+VBX = (DDQ, CQD)
+GQP = (JRH, FSN)
+BCK = (PJR, QHR)
+VFT = (DFJ, VQQ)
+CTR = (TKM, FPB)
+NPR = (QGV, CVB)
+SPJ = (RCD, DSM)
+NNT = (CGX, JVS)
+MCR = (FRM, XTF)
+TBL = (VTN, HXX)
+GSR = (DHR, BLQ)
+PPK = (VRH, HGS)
+PVG = (JHJ, JJR)
+TXF = (KMF, GRM)
+TKD = (HPV, LGQ)
+RNF = (VNQ, FNL)
+THH = (JXV, VFJ)
+GBR = (PGB, CCS)
+LGB = (PQH, JNV)
+DHM = (XCQ, CBF)
+FKV = (CQM, FRT)
+SMD = (CQV, FRR)
+HNM = (JXL, PCQ)
+JVR = (NDS, JJM)
+KJH = (KPH, LFG)
+XVL = (QJD, QJD)