; LLVM IR from ritikbanger/Hacktoberfest2022-DSA :: 01. Mathematics (veryeasytask)

; 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_istream" = type { ptr, i64, %"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 }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@x = external dso_local global i64, align 8
@y = external dso_local global i64, align 8
@n = external dso_local global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z4goodx(i64 noundef) #0

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %6 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %5, ptr noundef nonnull align 8 dereferenceable(8) @x)
  %7 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %6, ptr noundef nonnull align 8 dereferenceable(8) @y)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #4
  store i64 0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  %8 = load i64, ptr @n, align 8, !tbaa !5
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %10 = load i64, ptr %9, align 8, !tbaa !5
  %11 = mul nsw i64 %8, %10
  %12 = add nsw i64 %11, 5
  store i64 %12, ptr %3, align 8, !tbaa !5
  %13 = load i64, ptr @n, align 8, !tbaa !5
  %14 = icmp eq i64 %13, 1
  br i1 %14, label %15, label %19

15:                                               ; preds = %0
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %17 = load i64, ptr %16, align 8, !tbaa !5
  %18 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %17)
  br label %51

19:                                               ; preds = %0
  %20 = load i64, ptr @n, align 8, !tbaa !5
  %21 = icmp eq i64 %20, 2
  br i1 %21, label %22, label %27

22:                                               ; preds = %19
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %24 = load i64, ptr %23, align 8, !tbaa !5
  %25 = mul nsw i64 2, %24
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %25)
  br label %50

27:                                               ; preds = %19
  br label %28

28:                                               ; preds = %46, %27
  %29 = load i64, ptr %3, align 8, !tbaa !5
  %30 = load i64, ptr %2, align 8, !tbaa !5
  %31 = add nsw i64 %30, 1
  %32 = icmp sgt i64 %29, %31
  br i1 %32, label %33, label %47

33:                                               ; preds = %28
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #4
  %34 = load i64, ptr %2, align 8, !tbaa !5
  %35 = load i64, ptr %3, align 8, !tbaa !5
  %36 = load i64, ptr %2, align 8, !tbaa !5
  %37 = sub nsw i64 %35, %36
  %38 = sdiv i64 %37, 2
  %39 = add nsw i64 %34, %38
  store i64 %39, ptr %4, align 8, !tbaa !5
  %40 = load i64, ptr %4, align 8, !tbaa !5
  %41 = call noundef zeroext i1 @_Z4goodx(i64 noundef %40)
  br i1 %41, label %42, label %44

42:                                               ; preds = %33
  %43 = load i64, ptr %4, align 8, !tbaa !5
  store i64 %43, ptr %3, align 8, !tbaa !5
  br label %46

44:                                               ; preds = %33
  %45 = load i64, ptr %4, align 8, !tbaa !5
  store i64 %45, ptr %2, align 8, !tbaa !5
  br label %46

46:                                               ; preds = %44, %42
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #4
  br label %28, !llvm.loop !9

47:                                               ; preds = %28
  %48 = load i64, ptr %3, align 8, !tbaa !5
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %48)
  br label %50

50:                                               ; preds = %47, %22
  br label %51

51:                                               ; preds = %50, %15
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #4
  ret i32 0
}

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #0 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #0 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

attributes #0 = { 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 #1 = { inlinehint 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 norecurse 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"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_istream" = type { ptr, i64, %"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 }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@x = external dso_local global i64, align 8
@y = external dso_local global i64, align 8
@n = external dso_local global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z4goodx(i64 noundef) local_unnamed_addr #0

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %2 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %1, ptr noundef nonnull align 8 dereferenceable(8) @x)
  %3 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %2, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %4 = load i64, ptr @n, align 8, !tbaa !5
  %5 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %6 = load i64, ptr @n, align 8, !tbaa !5
  switch i64 %6, label %.preheader [
    i64 1, label %7
    i64 2, label %14
  ]

7:                                                ; preds = %0
  %8 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %9 = load i64, ptr %8, align 8, !tbaa !5
  br label %._crit_edge

.preheader:                                       ; preds = %0
  %10 = load i64, ptr %5, align 8, !tbaa !5
  %11 = mul nsw i64 %10, %4
  %12 = add nsw i64 %11, 5
  %13 = icmp sgt i64 %11, -4
  br i1 %13, label %.lr.ph, label %._crit_edge

14:                                               ; preds = %0
  %15 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @x, ptr noundef nonnull align 8 dereferenceable(8) @y)
  %16 = load i64, ptr %15, align 8, !tbaa !5
  %17 = shl nsw i64 %16, 1
  br label %._crit_edge

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  %.013 = phi i64 [ %.0., %.lr.ph ], [ 0, %.preheader ]
  %.0912 = phi i64 [ %..09, %.lr.ph ], [ %12, %.preheader ]
  %18 = sub nsw i64 %.0912, %.013
  %19 = sdiv i64 %18, 2
  %20 = add nsw i64 %19, %.013
  %21 = tail call noundef zeroext i1 @_Z4goodx(i64 noundef %20)
  %..09 = select i1 %21, i64 %20, i64 %.0912
  %.0. = select i1 %21, i64 %.013, i64 %20
  %22 = add nsw i64 %.0., 1
  %23 = icmp sgt i64 %..09, %22
  br i1 %23, label %.lr.ph, label %._crit_edge, !llvm.loop !9

._crit_edge:                                      ; preds = %.lr.ph, %.preheader, %14, %7
  %.sink = phi i64 [ %17, %14 ], [ %9, %7 ], [ %12, %.preheader ], [ %..09, %.lr.ph ]
  %24 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.sink)
  ret i32 0
}

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #0 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1

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

attributes #0 = { 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 #1 = { inlinehint 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 norecurse 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" }

!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 = !{!"long long", !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,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass