; LLVM IR from Mohammed-Shoaib/Coding-Problems :: Codeforces/Solutions/1285C.ll (Z12fadi_and_lcmx)

; 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

; Function Attrs: mustprogress uwtable
define dso_local void @_Z12fadi_and_lcmx(i64 noundef %0) #0 {
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  store i64 %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  store i64 1, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #4
  store i64 2, ptr %4, align 8, !tbaa !5
  br label %5

5:                                                ; preds = %28, %1
  %6 = load i64, ptr %4, align 8, !tbaa !5
  %7 = load i64, ptr %4, align 8, !tbaa !5
  %8 = mul nsw i64 %6, %7
  %9 = load i64, ptr %2, align 8, !tbaa !5
  %10 = icmp sle i64 %8, %9
  br i1 %10, label %12, label %11

11:                                               ; preds = %5
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #4
  br label %31

12:                                               ; preds = %5
  %13 = load i64, ptr %2, align 8, !tbaa !5
  %14 = load i64, ptr %4, align 8, !tbaa !5
  %15 = srem i64 %13, %14
  %16 = icmp eq i64 %15, 0
  br i1 %16, label %17, label %27

17:                                               ; preds = %12
  %18 = load i64, ptr %4, align 8, !tbaa !5
  %19 = load i64, ptr %2, align 8, !tbaa !5
  %20 = load i64, ptr %4, align 8, !tbaa !5
  %21 = sdiv i64 %19, %20
  %22 = call noundef i64 @_ZSt3lcmIxxENSt11common_typeIJT_T0_EE4typeES1_S2_(i64 noundef %18, i64 noundef %21) #4
  %23 = load i64, ptr %2, align 8, !tbaa !5
  %24 = icmp eq i64 %22, %23
  br i1 %24, label %25, label %27

25:                                               ; preds = %17
  %26 = load i64, ptr %4, align 8, !tbaa !5
  store i64 %26, ptr %3, align 8, !tbaa !5
  br label %27

27:                                               ; preds = %25, %17, %12
  br label %28

28:                                               ; preds = %27
  %29 = load i64, ptr %4, align 8, !tbaa !5
  %30 = add nsw i64 %29, 1
  store i64 %30, ptr %4, align 8, !tbaa !5
  br label %5, !llvm.loop !9

31:                                               ; preds = %11
  %32 = load i64, ptr %3, align 8, !tbaa !5
  %33 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %32)
  %34 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %33, ptr noundef @.str)
  %35 = load i64, ptr %2, align 8, !tbaa !5
  %36 = load i64, ptr %3, align 8, !tbaa !5
  %37 = sdiv i64 %35, %36
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) %34, i64 noundef %37)
  %39 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %38, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  ret void
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZSt3lcmIxxENSt11common_typeIJT_T0_EE4typeES1_S2_(i64 noundef, i64 noundef) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; 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

; 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: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #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 = { 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_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

; Function Attrs: mustprogress uwtable
define dso_local void @_Z12fadi_and_lcmx(i64 noundef %0) local_unnamed_addr #0 {
  %.not17 = icmp slt i64 %0, 4
  br i1 %.not17, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %13, %1
  %.014.lcssa = phi i64 [ 1, %1 ], [ %.1, %13 ]
  %2 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.014.lcssa)
  %3 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %2, ptr noundef nonnull @.str)
  %4 = sdiv i64 %0, %.014.lcssa
  %5 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) %3, i64 noundef %4)
  %6 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %5, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret void

.lr.ph:                                           ; preds = %1, %13
  %.019 = phi i64 [ %14, %13 ], [ 2, %1 ]
  %.01418 = phi i64 [ %.1, %13 ], [ 1, %1 ]
  %7 = urem i64 %0, %.019
  %8 = udiv i64 %0, %.019
  %9 = icmp eq i64 %7, 0
  br i1 %9, label %10, label %13

10:                                               ; preds = %.lr.ph
  %11 = tail call noundef i64 @_ZSt3lcmIxxENSt11common_typeIJT_T0_EE4typeES1_S2_(i64 noundef %.019, i64 noundef %8) #3
  %12 = icmp eq i64 %11, %0
  %spec.select = select i1 %12, i64 %.019, i64 %.01418
  br label %13

13:                                               ; preds = %10, %.lr.ph
  %.1 = phi i64 [ %.01418, %.lr.ph ], [ %spec.select, %10 ]
  %14 = add nuw nsw i64 %.019, 1
  %15 = mul nuw nsw i64 %14, %14
  %.not = icmp sgt i64 %15, %0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !5
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZSt3lcmIxxENSt11common_typeIJT_T0_EE4typeES1_S2_(i64 noundef, i64 noundef) local_unnamed_addr #1

; 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

; 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

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #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 = { 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 = { 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 = { 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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: DivRemPairsPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass