; LLVM IR from Chasmiccoder/Algos-for-Amigos :: IIITH-Coursework/2-Automata-Theory/Programming-Assignment-2 (rps)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #1 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z9print_dfaSt6vectorIS_IiSaIiEESaIS1_EEi(ptr noundef %0, i32 noundef %1) #2 {
  %3 = alloca ptr, align 8
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i8, align 1
  store ptr %0, ptr %3, align 8, !tbaa !5
  store i32 %1, ptr %4, align 4, !tbaa !9
  %7 = load i32, ptr %4, align 4, !tbaa !9
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %7)
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %8, ptr noundef @.str)
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #5
  store i32 0, ptr %5, align 4, !tbaa !9
  br label %10

10:                                               ; preds = %61, %2
  %11 = load i32, ptr %5, align 4, !tbaa !9
  %12 = load i32, ptr %4, align 4, !tbaa !9
  %13 = icmp slt i32 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #5
  br label %64

15:                                               ; preds = %10
  call void @llvm.lifetime.start.p0(i64 1, ptr %6) #5
  %16 = load i32, ptr %5, align 4, !tbaa !9
  %17 = sext i32 %16 to i64
  %18 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %17) #5
  %19 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %18, i64 noundef 0) #5
  %20 = load i32, ptr %19, align 4, !tbaa !9
  %21 = icmp eq i32 %20, 0
  br i1 %21, label %22, label %23

22:                                               ; preds = %15
  store i8 82, ptr %6, align 1, !tbaa !11
  br label %33

23:                                               ; preds = %15
  %24 = load i32, ptr %5, align 4, !tbaa !9
  %25 = sext i32 %24 to i64
  %26 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %25) #5
  %27 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %26, i64 noundef 0) #5
  %28 = load i32, ptr %27, align 4, !tbaa !9
  %29 = icmp eq i32 %28, 1
  br i1 %29, label %30, label %31

30:                                               ; preds = %23
  store i8 80, ptr %6, align 1, !tbaa !11
  br label %32

31:                                               ; preds = %23
  store i8 83, ptr %6, align 1, !tbaa !11
  br label %32

32:                                               ; preds = %31, %30
  br label %33

33:                                               ; preds = %32, %22
  %34 = load i8, ptr %6, align 1, !tbaa !11
  %35 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i8 noundef signext %34)
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %35, ptr noundef @.str.1)
  %37 = load i32, ptr %5, align 4, !tbaa !9
  %38 = sext i32 %37 to i64
  %39 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %38) #5
  %40 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %39, i64 noundef 1) #5
  %41 = load i32, ptr %40, align 4, !tbaa !9
  %42 = add nsw i32 %41, 1
  %43 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %36, i32 noundef %42)
  %44 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %43, ptr noundef @.str.1)
  %45 = load i32, ptr %5, align 4, !tbaa !9
  %46 = sext i32 %45 to i64
  %47 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %46) #5
  %48 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %47, i64 noundef 2) #5
  %49 = load i32, ptr %48, align 4, !tbaa !9
  %50 = add nsw i32 %49, 1
  %51 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %44, i32 noundef %50)
  %52 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %51, ptr noundef @.str.1)
  %53 = load i32, ptr %5, align 4, !tbaa !9
  %54 = sext i32 %53 to i64
  %55 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %54) #5
  %56 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %55, i64 noundef 3) #5
  %57 = load i32, ptr %56, align 4, !tbaa !9
  %58 = add nsw i32 %57, 1
  %59 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %52, i32 noundef %58)
  %60 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %59, ptr noundef @.str)
  call void @llvm.lifetime.end.p0(i64 1, ptr %6) #5
  br label %61

61:                                               ; preds = %33
  %62 = load i32, ptr %5, align 4, !tbaa !9
  %63 = add nsw i32 %62, 1
  store i32 %63, ptr %5, align 4, !tbaa !9
  br label %10, !llvm.loop !12

64:                                               ; preds = %14
  ret void
}

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #3

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #4

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #3

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #2 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { inlinehint mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #4 = { "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #5 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{!7, !7, i64 0}
!12 = distinct !{!12, !13}
!13 = !{!"llvm.loop.mustprogress"}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z9print_dfaSt6vectorIS_IiSaIiEESaIS1_EEi(ptr noundef %0, i32 noundef %1) local_unnamed_addr #1 {
  %3 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %1)
  %4 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull @.str)
  %5 = icmp sgt i32 %1, 0
  br i1 %5, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %2
  %wide.trip.count = zext nneg i32 %1 to i64
  br label %.lr.ph

._crit_edge:                                      ; preds = %15, %2
  ret void

.lr.ph:                                           ; preds = %.lr.ph.preheader, %15
  %indvars.iv = phi i64 [ 0, %.lr.ph.preheader ], [ %indvars.iv.next, %15 ]
  %6 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %7 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %6, i64 noundef 0) #4
  %8 = load i32, ptr %7, align 4, !tbaa !5
  %9 = icmp eq i32 %8, 0
  br i1 %9, label %15, label %10

10:                                               ; preds = %.lr.ph
  %11 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %12 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %11, i64 noundef 0) #4
  %13 = load i32, ptr %12, align 4, !tbaa !5
  %14 = icmp eq i32 %13, 1
  %. = select i1 %14, i8 80, i8 83
  br label %15

15:                                               ; preds = %10, %.lr.ph
  %.0 = phi i8 [ 82, %.lr.ph ], [ %., %10 ]
  %16 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i8 noundef signext %.0)
  %17 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %16, ptr noundef nonnull @.str.1)
  %18 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %19 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %18, i64 noundef 1) #4
  %20 = load i32, ptr %19, align 4, !tbaa !5
  %21 = add nsw i32 %20, 1
  %22 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %17, i32 noundef %21)
  %23 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %22, ptr noundef nonnull @.str.1)
  %24 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %25 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %24, i64 noundef 2) #4
  %26 = load i32, ptr %25, align 4, !tbaa !5
  %27 = add nsw i32 %26, 1
  %28 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %23, i32 noundef %27)
  %29 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %28, ptr noundef nonnull @.str.1)
  %30 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %indvars.iv) #4
  %31 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %30, i64 noundef 3) #4
  %32 = load i32, ptr %31, align 4, !tbaa !5
  %33 = add nsw i32 %32, 1
  %34 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %29, i32 noundef %33)
  %35 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %34, ptr noundef nonnull @.str)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9
}

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #2

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #3

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #2

attributes #0 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #2 = { inlinehint mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #4 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass