; LLVM IR from eyangch/competitive-programming :: Codeforces/1370 (c)

; 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" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [14 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [10 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %7 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %8 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %9 = getelementptr i8, ptr %8, i64 -24
  %10 = load i64, ptr %9, align 8
  %11 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %10
  %12 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %11, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #8
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  br label %14

14:                                               ; preds = %90, %0
  %15 = load i32, ptr %2, align 4, !tbaa !8
  %16 = add nsw i32 %15, -1
  store i32 %16, ptr %2, align 4, !tbaa !8
  %17 = icmp ne i32 %15, 0
  br i1 %17, label %18, label %91

18:                                               ; preds = %14
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #8
  %19 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %20 = load i32, ptr %3, align 4, !tbaa !8
  %21 = icmp eq i32 %20, 1
  br i1 %21, label %22, label %25

22:                                               ; preds = %18
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %24 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %23, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %90

25:                                               ; preds = %18
  %26 = load i32, ptr %3, align 4, !tbaa !8
  %27 = icmp eq i32 %26, 2
  br i1 %27, label %28, label %31

28:                                               ; preds = %25
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %29, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %89

31:                                               ; preds = %25
  %32 = load i32, ptr %3, align 4, !tbaa !8
  %33 = srem i32 %32, 2
  %34 = icmp eq i32 %33, 1
  br i1 %34, label %35, label %38

35:                                               ; preds = %31
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %88

38:                                               ; preds = %31
  %39 = load i32, ptr %3, align 4, !tbaa !8
  %40 = call noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %39)
  %41 = call double @llvm.floor.f64(double %40)
  %42 = load i32, ptr %3, align 4, !tbaa !8
  %43 = call noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %42)
  %44 = call double @llvm.ceil.f64(double %43)
  %45 = fcmp oeq double %41, %44
  br i1 %45, label %46, label %49

46:                                               ; preds = %38
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %47, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %87

49:                                               ; preds = %38
  %50 = load i32, ptr %3, align 4, !tbaa !8
  %51 = srem i32 %50, 4
  %52 = icmp eq i32 %51, 0
  br i1 %52, label %53, label %56

53:                                               ; preds = %49
  %54 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %54, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %86

56:                                               ; preds = %49
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #8
  store i32 0, ptr %4, align 4, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #8
  store i32 2, ptr %5, align 4, !tbaa !8
  br label %57

57:                                               ; preds = %72, %56
  %58 = load i32, ptr %5, align 4, !tbaa !8
  %59 = sitofp i32 %58 to double
  %60 = load i32, ptr %3, align 4, !tbaa !8
  %61 = call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %60)
  %62 = fcmp ole double %59, %61
  br i1 %62, label %64, label %63

63:                                               ; preds = %57
  store i32 4, ptr %6, align 4
  br label %75

64:                                               ; preds = %57
  %65 = load i32, ptr %3, align 4, !tbaa !8
  %66 = sdiv i32 %65, 2
  %67 = load i32, ptr %5, align 4, !tbaa !8
  %68 = srem i32 %66, %67
  %69 = icmp eq i32 %68, 0
  br i1 %69, label %70, label %71

70:                                               ; preds = %64
  store i32 1, ptr %4, align 4, !tbaa !8
  store i32 4, ptr %6, align 4
  br label %75

71:                                               ; preds = %64
  br label %72

72:                                               ; preds = %71
  %73 = load i32, ptr %5, align 4, !tbaa !8
  %74 = add nsw i32 %73, 1
  store i32 %74, ptr %5, align 4, !tbaa !8
  br label %57, !llvm.loop !11

75:                                               ; preds = %70, %63
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #8
  br label %76

76:                                               ; preds = %75
  %77 = load i32, ptr %4, align 4, !tbaa !8
  %78 = icmp ne i32 %77, 0
  br i1 %78, label %79, label %82

79:                                               ; preds = %76
  %80 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  %81 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %80, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %85

82:                                               ; preds = %76
  %83 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %84 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %83, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %85

85:                                               ; preds = %82, %79
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #8
  br label %86

86:                                               ; preds = %85, %53
  br label %87

87:                                               ; preds = %86, %46
  br label %88

88:                                               ; preds = %87, %35
  br label %89

89:                                               ; preds = %88, %28
  br label %90

90:                                               ; preds = %89, %22
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #8
  br label %14, !llvm.loop !13

91:                                               ; preds = %14
  store i32 0, ptr %1, align 4
  store i32 1, ptr %6, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #8
  %92 = load i32, ptr %1, align 4
  ret i32 %92
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #1

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #2 align 2

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

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #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) #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #5 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)) #4

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.floor.f64(double) #6

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.ceil.f64(double) #6

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) #7

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

attributes #0 = { 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 #1 = { "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 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { 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 #5 = { 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 #6 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #7 = { 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 #8 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; 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" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [14 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [10 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %4 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %5 = getelementptr i8, ptr %4, i64 -24
  %6 = load i64, ptr %5, align 8
  %7 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %6
  %8 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %7, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #8
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %10 = load i32, ptr %1, align 4, !tbaa !8
  %11 = add nsw i32 %10, -1
  store i32 %11, ptr %1, align 4, !tbaa !8
  %.not9 = icmp eq i32 %10, 0
  br i1 %.not9, label %._crit_edge, label %.lr.ph10

.lr.ph10:                                         ; preds = %0, %.critedge
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #8
  %12 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  %13 = load i32, ptr %2, align 4, !tbaa !8
  switch i32 %13, label %15 [
    i32 1, label %.critedge
    i32 2, label %14
  ]

14:                                               ; preds = %.lr.ph10
  br label %.critedge

15:                                               ; preds = %.lr.ph10
  %16 = and i32 %13, -2147483647
  %17 = icmp eq i32 %16, 1
  br i1 %17, label %.critedge, label %18

18:                                               ; preds = %15
  %19 = call noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %13)
  %20 = call double @llvm.floor.f64(double %19)
  %21 = load i32, ptr %2, align 4, !tbaa !8
  %22 = call noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %21)
  %23 = call double @llvm.ceil.f64(double %22)
  %24 = fcmp oeq double %20, %23
  br i1 %24, label %.critedge, label %25

25:                                               ; preds = %18
  %26 = load i32, ptr %2, align 4, !tbaa !8
  %27 = and i32 %26, 3
  %28 = icmp eq i32 %27, 0
  br i1 %28, label %.critedge, label %.preheader

.preheader:                                       ; preds = %25
  %29 = call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %26)
  %30 = fcmp ult double %29, 2.000000e+00
  br i1 %30, label %.critedge, label %.lr.ph

31:                                               ; preds = %.lr.ph
  %32 = add nuw nsw i32 %.08, 1
  %33 = uitofp nneg i32 %32 to double
  %34 = call noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %36)
  %35 = fcmp ult double %34, %33
  br i1 %35, label %.critedge, label %.lr.ph, !llvm.loop !11

.lr.ph:                                           ; preds = %.preheader, %31
  %.08 = phi i32 [ %32, %31 ], [ 2, %.preheader ]
  %36 = load i32, ptr %2, align 4, !tbaa !8
  %37 = sdiv i32 %36, 2
  %38 = srem i32 %37, %.08
  %39 = icmp eq i32 %38, 0
  br i1 %39, label %.critedge, label %31

.critedge:                                        ; preds = %31, %.lr.ph, %.preheader, %25, %18, %15, %.lr.ph10, %14
  %.str.1.sink = phi ptr [ @.str.1, %14 ], [ @.str, %.lr.ph10 ], [ @.str.1, %15 ], [ @.str, %18 ], [ @.str.1, %25 ], [ @.str, %.preheader ], [ @.str.1, %.lr.ph ], [ @.str, %31 ]
  %40 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull %.str.1.sink)
  %41 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %40, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #8
  %42 = load i32, ptr %1, align 4, !tbaa !8
  %43 = add nsw i32 %42, -1
  store i32 %43, ptr %1, align 4, !tbaa !8
  %.not = icmp eq i32 %42, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph10, !llvm.loop !13

._crit_edge:                                      ; preds = %.critedge, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #8
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #2 align 2

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

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) 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 #4

; 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 #5 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)) #4

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4log2IiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.floor.f64(double) #6

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.ceil.f64(double) #6

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) local_unnamed_addr #7

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

attributes #0 = { 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 #1 = { "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 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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { 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 #5 = { 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 #6 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #7 = { 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 #8 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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