; LLVM IR from ShahjalalShohag/code-library :: Number Theory (Smallest Number Having Exactly K Divisors)

; 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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::vector.0" = type { %"struct.std::_Vector_base.1" }
%"struct.std::_Vector_base.1" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"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" }
%"class.__gnu_cxx::__normal_iterator" = type { ptr }
%"struct.std::pair" = type <{ double, i32, [4 x i8] }>

@primes = external dso_local global %"class.std::vector", align 8
@lgp = external dso_local global [1000009 x double], align 16
@v = external dso_local global %"class.std::vector.0", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [3 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 uwtable
declare dso_local void @_Z5sievev() #1

; 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) #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local { double, i32 } @_Z2yoix(i32 noundef, i64 noundef) #1

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIxSaIxEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIxSaIxEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #4 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i64, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca i64, align 8
  %9 = alloca i64, align 8
  %10 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %11 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %12 = alloca %"struct.std::pair", align 8
  %13 = alloca { double, i32 }, align 8
  store i32 0, ptr %1, align 4
  %14 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %15 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %16 = getelementptr i8, ptr %15, i64 -24
  %17 = load i64, ptr %16, align 8
  %18 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %17
  %19 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %18, ptr noundef null)
  call void @_Z5sievev()
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #8
  store i32 0, ptr %2, align 4, !tbaa !8
  br label %20

20:                                               ; preds = %33, %0
  %21 = load i32, ptr %2, align 4, !tbaa !8
  %22 = icmp slt i32 %21, 100
  br i1 %22, label %24, label %23

23:                                               ; preds = %20
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #8
  br label %36

24:                                               ; preds = %20
  %25 = load i32, ptr %2, align 4, !tbaa !8
  %26 = sext i32 %25 to i64
  %27 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @primes, i64 noundef %26) #8
  %28 = load i32, ptr %27, align 4, !tbaa !8
  %29 = call noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %28)
  %30 = load i32, ptr %2, align 4, !tbaa !8
  %31 = sext i32 %30 to i64
  %32 = getelementptr inbounds [1000009 x double], ptr @lgp, i64 0, i64 %31
  store double %29, ptr %32, align 8, !tbaa !11
  br label %33

33:                                               ; preds = %24
  %34 = load i32, ptr %2, align 4, !tbaa !8
  %35 = add nsw i32 %34, 1
  store i32 %35, ptr %2, align 4, !tbaa !8
  br label %20, !llvm.loop !13

36:                                               ; preds = %23
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #8
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #8
  store i32 0, ptr %4, align 4, !tbaa !8
  %37 = 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)
  br label %38

38:                                               ; preds = %119, %117, %36
  %39 = load i32, ptr %3, align 4, !tbaa !8
  %40 = add nsw i32 %39, -1
  store i32 %40, ptr %3, align 4, !tbaa !8
  %41 = icmp ne i32 %39, 0
  br i1 %41, label %42, label %120

42:                                               ; preds = %38
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #8
  %43 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %44 = load i64, ptr %5, align 8, !tbaa !15
  %45 = add nsw i64 %44, 1
  store i64 %45, ptr %5, align 8, !tbaa !15
  %46 = load i64, ptr %5, align 8, !tbaa !15
  %47 = icmp eq i64 %46, 1
  br i1 %47, label %48, label %56

48:                                               ; preds = %42
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %50 = load i32, ptr %4, align 4, !tbaa !8
  %51 = add nsw i32 %50, 1
  store i32 %51, ptr %4, align 4, !tbaa !8
  %52 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %49, i32 noundef %51)
  %53 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %52, ptr noundef @.str.4)
  %54 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %53, i32 noundef 1)
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %54, i8 noundef signext 10)
  store i32 5, ptr %6, align 4
  br label %117, !llvm.loop !17

56:                                               ; preds = %42
  call void @_ZNSt6vectorIxSaIxEE5clearEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #8
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #8
  store i32 1, ptr %7, align 4, !tbaa !8
  br label %57

57:                                               ; preds = %94, %56
  %58 = load i32, ptr %7, align 4, !tbaa !8
  %59 = sext i32 %58 to i64
  %60 = mul nsw i64 1, %59
  %61 = load i32, ptr %7, align 4, !tbaa !8
  %62 = sext i32 %61 to i64
  %63 = mul nsw i64 %60, %62
  %64 = load i64, ptr %5, align 8, !tbaa !15
  %65 = icmp sle i64 %63, %64
  br i1 %65, label %67, label %66

66:                                               ; preds = %57
  store i32 7, ptr %6, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #8
  br label %97

67:                                               ; preds = %57
  %68 = load i64, ptr %5, align 8, !tbaa !15
  %69 = load i32, ptr %7, align 4, !tbaa !8
  %70 = sext i32 %69 to i64
  %71 = srem i64 %68, %70
  %72 = icmp eq i64 %71, 0
  br i1 %72, label %73, label %93

73:                                               ; preds = %67
  %74 = load i32, ptr %7, align 4, !tbaa !8
  %75 = icmp sgt i32 %74, 1
  br i1 %75, label %76, label %79

76:                                               ; preds = %73
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #8
  %77 = load i32, ptr %7, align 4, !tbaa !8
  %78 = sext i32 %77 to i64
  store i64 %78, ptr %8, align 8, !tbaa !15
  call void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24) @v, ptr noundef nonnull align 8 dereferenceable(8) %8)
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #8
  br label %79

79:                                               ; preds = %76, %73
  %80 = load i32, ptr %7, align 4, !tbaa !8
  %81 = sext i32 %80 to i64
  %82 = load i64, ptr %5, align 8, !tbaa !15
  %83 = load i32, ptr %7, align 4, !tbaa !8
  %84 = sext i32 %83 to i64
  %85 = sdiv i64 %82, %84
  %86 = icmp ne i64 %81, %85
  br i1 %86, label %87, label %92

87:                                               ; preds = %79
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #8
  %88 = load i64, ptr %5, align 8, !tbaa !15
  %89 = load i32, ptr %7, align 4, !tbaa !8
  %90 = sext i32 %89 to i64
  %91 = sdiv i64 %88, %90
  store i64 %91, ptr %9, align 8, !tbaa !15
  call void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24) @v, ptr noundef nonnull align 8 dereferenceable(8) %9)
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #8
  br label %92

92:                                               ; preds = %87, %79
  br label %93

93:                                               ; preds = %92, %67
  br label %94

94:                                               ; preds = %93
  %95 = load i32, ptr %7, align 4, !tbaa !8
  %96 = add nsw i32 %95, 1
  store i32 %96, ptr %7, align 4, !tbaa !8
  br label %57, !llvm.loop !18

97:                                               ; preds = %66
  %98 = call ptr @_ZNSt6vectorIxSaIxEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #8
  %99 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %10, i32 0, i32 0
  store ptr %98, ptr %99, align 8
  %100 = call ptr @_ZNSt6vectorIxSaIxEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #8
  %101 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %11, i32 0, i32 0
  store ptr %100, ptr %101, align 8
  %102 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %10, i32 0, i32 0
  %103 = load ptr, ptr %102, align 8
  %104 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %11, i32 0, i32 0
  %105 = load ptr, ptr %104, align 8
  call void @_ZSt4sortIN9__gnu_cxx17__normal_iteratorIPxSt6vectorIxSaIxEEEEEvT_S7_(ptr %103, ptr %105)
  %106 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %107 = load i32, ptr %4, align 4, !tbaa !8
  %108 = add nsw i32 %107, 1
  store i32 %108, ptr %4, align 4, !tbaa !8
  %109 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %106, i32 noundef %108)
  %110 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %109, ptr noundef @.str.4)
  call void @llvm.lifetime.start.p0(i64 16, ptr %12) #8
  %111 = load i64, ptr %5, align 8, !tbaa !15
  %112 = call { double, i32 } @_Z2yoix(i32 noundef 0, i64 noundef %111)
  store { double, i32 } %112, ptr %13, align 8
  call void @llvm.memcpy.p0.p0.i64(ptr align 8 %12, ptr align 8 %13, i64 12, i1 false)
  %113 = getelementptr inbounds %"struct.std::pair", ptr %12, i32 0, i32 1
  %114 = load i32, ptr %113, align 8, !tbaa !19
  %115 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %110, i32 noundef %114)
  %116 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %115, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 16, ptr %12) #8
  store i32 0, ptr %6, align 4
  br label %117

117:                                              ; preds = %97, %48
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #8
  %118 = load i32, ptr %6, align 4
  switch i32 %118, label %122 [
    i32 0, label %119
    i32 5, label %38
  ]

119:                                              ; preds = %117
  br label %38, !llvm.loop !17

120:                                              ; preds = %38
  store i32 0, ptr %1, align 4
  store i32 1, ptr %6, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #8
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #8
  %121 = load i32, ptr %1, align 4
  ret i32 %121

122:                                              ; preds = %117
  unreachable
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #5

; 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: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) #6

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #5

; 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)) #1 align 2

; 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) #7

; 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) #7

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #5

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE5clearEv(ptr noundef nonnull align 8 dereferenceable(24)) #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local void @_ZSt4sortIN9__gnu_cxx17__normal_iteratorIPxSt6vectorIxSaIxEEEEEvT_S7_(ptr, ptr) #7

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { 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 nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { 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 #5 = { "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 = { 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 #7 = { 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 #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 = !{!12, !12, i64 0}
!12 = !{!"double", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = !{!16, !16, i64 0}
!16 = !{!"long long", !10, i64 0}
!17 = distinct !{!17, !14}
!18 = distinct !{!18, !14}
!19 = !{!20, !9, i64 8}
!20 = !{!"_ZTSSt4pairIdiE", !12, i64 0, !9, i64 8}


; 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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::vector.0" = type { %"struct.std::_Vector_base.1" }
%"struct.std::_Vector_base.1" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"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" }

@primes = external dso_local global %"class.std::vector", align 8
@lgp = external dso_local local_unnamed_addr global [1000009 x double], align 16
@v = external dso_local global %"class.std::vector.0", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [3 x i8], align 1

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

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

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5sievev() local_unnamed_addr #1

; 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 #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local { double, i32 } @_Z2yoix(i32 noundef, i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIxSaIxEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIxSaIxEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %6 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %7 = getelementptr i8, ptr %6, i64 -24
  %8 = load i64, ptr %7, align 8
  %9 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %8
  %10 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %9, ptr noundef null)
  tail call void @_Z5sievev()
  br label %15

11:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  %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) %1)
  %13 = load i32, ptr %1, align 4, !tbaa !8
  %14 = add nsw i32 %13, -1
  store i32 %14, ptr %1, align 4, !tbaa !8
  %.not28 = icmp eq i32 %13, 0
  br i1 %.not28, label %._crit_edge32, label %.lr.ph31

15:                                               ; preds = %0, %15
  %indvars.iv = phi i64 [ 0, %0 ], [ %indvars.iv.next, %15 ]
  %16 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @primes, i64 noundef %indvars.iv) #7
  %17 = load i32, ptr %16, align 4, !tbaa !8
  %18 = tail call noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %17)
  %19 = getelementptr inbounds [1000009 x double], ptr @lgp, i64 0, i64 %indvars.iv
  store double %18, ptr %19, align 8, !tbaa !11
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, 100
  br i1 %exitcond.not, label %11, label %15, !llvm.loop !13

.lr.ph31:                                         ; preds = %11, %51
  %.01929 = phi i32 [ %.1, %51 ], [ 0, %11 ]
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #7
  %20 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %21 = load i64, ptr %2, align 8, !tbaa !15
  %22 = add nsw i64 %21, 1
  store i64 %22, ptr %2, align 8, !tbaa !15
  %23 = icmp eq i64 %21, 0
  br i1 %23, label %24, label %30

24:                                               ; preds = %.lr.ph31
  %25 = 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)
  %26 = add nsw i32 %.01929, 1
  %27 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %25, i32 noundef %26)
  %28 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %27, ptr noundef nonnull @.str.4)
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %28, i32 noundef 1)
  br label %51, !llvm.loop !17

30:                                               ; preds = %.lr.ph31
  call void @_ZNSt6vectorIxSaIxEE5clearEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #7
  %31 = load i64, ptr %2, align 8, !tbaa !15
  %or.cond = icmp slt i64 %31, 2
  br i1 %or.cond, label %._crit_edge, label %32

32:                                               ; preds = %30
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #7
  store i64 %31, ptr %4, align 8, !tbaa !15
  call void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24) @v, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #7
  %.pre = load i64, ptr %2, align 8, !tbaa !15
  %.not23.peel = icmp slt i64 %.pre, 4
  br i1 %.not23.peel, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %48, %32, %30
  %33 = call ptr @_ZNSt6vectorIxSaIxEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #7
  %34 = call ptr @_ZNSt6vectorIxSaIxEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) @v) #7
  call void @_ZSt4sortIN9__gnu_cxx17__normal_iteratorIPxSt6vectorIxSaIxEEEEEvT_S7_(ptr %33, ptr %34)
  %35 = 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)
  %36 = add nsw i32 %.01929, 1
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %35, i32 noundef %36)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %37, ptr noundef nonnull @.str.4)
  %39 = load i64, ptr %2, align 8, !tbaa !15
  %40 = call { double, i32 } @_Z2yoix(i32 noundef 0, i64 noundef %39)
  %.fca.1.extract = extractvalue { double, i32 } %40, 1
  %41 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %38, i32 noundef %.fca.1.extract)
  br label %51

.lr.ph:                                           ; preds = %32, %48
  %42 = phi i64 [ %49, %48 ], [ %.pre, %32 ]
  %indvars.iv34 = phi i64 [ %indvars.iv.next35, %48 ], [ 2, %32 ]
  %43 = urem i64 %42, %indvars.iv34
  %44 = icmp eq i64 %43, 0
  br i1 %44, label %45, label %48

45:                                               ; preds = %.lr.ph
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #7
  store i64 %indvars.iv34, ptr %3, align 8, !tbaa !15
  call void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24) @v, ptr noundef nonnull align 8 dereferenceable(8) %3)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #7
  %.pre39 = load i64, ptr %2, align 8, !tbaa !15
  %46 = sdiv i64 %.pre39, %indvars.iv34
  %.not24 = icmp eq i64 %46, %indvars.iv34
  br i1 %.not24, label %48, label %47

47:                                               ; preds = %45
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #7
  store i64 %46, ptr %4, align 8, !tbaa !15
  call void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24) @v, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #7
  %.pre40 = load i64, ptr %2, align 8, !tbaa !15
  br label %48

48:                                               ; preds = %.lr.ph, %47, %45
  %49 = phi i64 [ %42, %.lr.ph ], [ %.pre40, %47 ], [ %.pre39, %45 ]
  %indvars.iv.next35 = add nuw nsw i64 %indvars.iv34, 1
  %50 = mul nuw nsw i64 %indvars.iv.next35, %indvars.iv.next35
  %.not23 = icmp sgt i64 %50, %49
  br i1 %.not23, label %._crit_edge, label %.lr.ph, !llvm.loop !18

51:                                               ; preds = %._crit_edge, %24
  %.sink = phi ptr [ %41, %._crit_edge ], [ %29, %24 ]
  %.1 = phi i32 [ %36, %._crit_edge ], [ %26, %24 ]
  %52 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %.sink, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #7
  %53 = load i32, ptr %1, align 4, !tbaa !8
  %54 = add nsw i32 %53, -1
  store i32 %54, ptr %1, align 4, !tbaa !8
  %.not = icmp eq i32 %53, 0
  br i1 %.not, label %._crit_edge32, label %.lr.ph31

._crit_edge32:                                    ; preds = %51, %11
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #4

; 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: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) local_unnamed_addr #5

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 #4

; 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 #1 align 2

; 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 #6

; 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 #6

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE5clearEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEE9push_backEOx(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local void @_ZSt4sortIN9__gnu_cxx17__normal_iteratorIPxSt6vectorIxSaIxEEEEEvT_S7_(ptr, ptr) local_unnamed_addr #6

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { 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 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 #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 = { 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 #6 = { 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 #7 = { 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 = !{!12, !12, i64 0}
!12 = !{!"double", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = !{!16, !16, i64 0}
!16 = !{!"long long", !10, i64 0}
!17 = distinct !{!17, !14}
!18 = distinct !{!18, !14, !19}
!19 = !{!"llvm.loop.peeled.count", i32 1}


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