; LLVM IR from Tunghohin/Competitive_Coding :: Luogu (p3199)

; 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" }
%"struct.std::_Setprecision" = type { i32 }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z8add_edgeiid(i32 noundef, i32 noundef, double noundef) #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z5checkdi(double noundef, i32 noundef) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #3 {
  %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 double, align 8
  %7 = alloca double, align 8
  %8 = alloca double, align 8
  %9 = alloca double, align 8
  %10 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  %11 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %12 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %13 = getelementptr i8, ptr %12, i64 -24
  %14 = load i64, ptr %13, align 8
  %15 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %14
  %16 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %15, ptr noundef null)
  %17 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %18 = getelementptr i8, ptr %17, i64 -24
  %19 = load i64, ptr %18, align 8
  %20 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %19
  %21 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %20, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  %22 = 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)
  %23 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %22, ptr noundef nonnull align 4 dereferenceable(4) %3)
  br label %24

24:                                               ; preds = %28, %0
  %25 = load i32, ptr %3, align 4, !tbaa !8
  %26 = add nsw i32 %25, -1
  store i32 %26, ptr %3, align 4, !tbaa !8
  %27 = icmp ne i32 %25, 0
  br i1 %27, label %28, label %35

28:                                               ; preds = %24
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #7
  %29 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %4)
  %30 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %29, ptr noundef nonnull align 4 dereferenceable(4) %5)
  %31 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %30, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %32 = load i32, ptr %4, align 4, !tbaa !8
  %33 = load i32, ptr %5, align 4, !tbaa !8
  %34 = load double, ptr %6, align 8, !tbaa !11
  call void @_Z8add_edgeiid(i32 noundef %32, i32 noundef %33, double noundef %34)
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #7
  br label %24, !llvm.loop !13

35:                                               ; preds = %24
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #7
  store double -1.000000e+08, ptr %7, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #7
  store double 1.000000e+08, ptr %8, align 8, !tbaa !11
  br label %36

36:                                               ; preds = %53, %35
  %37 = load double, ptr %8, align 8, !tbaa !11
  %38 = load double, ptr %7, align 8, !tbaa !11
  %39 = fsub double %37, %38
  %40 = fcmp ogt double %39, 1.000000e-10
  br i1 %40, label %41, label %54

41:                                               ; preds = %36
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #7
  %42 = load double, ptr %7, align 8, !tbaa !11
  %43 = load double, ptr %8, align 8, !tbaa !11
  %44 = fadd double %42, %43
  %45 = fdiv double %44, 2.000000e+00
  store double %45, ptr %9, align 8, !tbaa !11
  %46 = load double, ptr %9, align 8, !tbaa !11
  %47 = load i32, ptr %2, align 4, !tbaa !8
  %48 = call noundef zeroext i1 @_Z5checkdi(double noundef %46, i32 noundef %47)
  br i1 %48, label %49, label %51

49:                                               ; preds = %41
  %50 = load double, ptr %9, align 8, !tbaa !11
  store double %50, ptr %8, align 8, !tbaa !11
  br label %53

51:                                               ; preds = %41
  %52 = load double, ptr %9, align 8, !tbaa !11
  store double %52, ptr %7, align 8, !tbaa !11
  br label %53

53:                                               ; preds = %51, %49
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #7
  br label %36, !llvm.loop !15

54:                                               ; preds = %36
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @_ZSt5fixedRSt8ios_base)
  %56 = call i32 @_ZSt12setprecisioni(i32 noundef 8)
  %57 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  store i32 %56, ptr %57, align 4
  %58 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  %59 = load i32, ptr %58, align 4
  %60 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %55, i32 %59)
  %61 = load double, ptr %7, align 8, !tbaa !11
  %62 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %60, double noundef %61)
  %63 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %62, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #7
  %64 = load i32, ptr %1, align 4
  ret i32 %64
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #0 align 2

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(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) #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5fixedRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) #1 align 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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 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 = { 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 = distinct !{!15, !14}


; 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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z8add_edgeiid(i32 noundef, i32 noundef, double noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z5checkdi(double noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca double, align 8
  %6 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %7 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %8 = getelementptr i8, ptr %7, i64 -24
  %9 = load i64, ptr %8, align 8
  %10 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %9
  %11 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %10, ptr noundef null)
  %12 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %13 = getelementptr i8, ptr %12, i64 -24
  %14 = load i64, ptr %13, align 8
  %15 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %14
  %16 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %15, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #7
  %17 = 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)
  %18 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %17, ptr noundef nonnull align 4 dereferenceable(4) %2)
  %19 = load i32, ptr %2, align 4, !tbaa !8
  %20 = add nsw i32 %19, -1
  store i32 %20, ptr %2, align 4, !tbaa !8
  %.not10 = icmp eq i32 %19, 0
  br i1 %.not10, label %.preheader.preheader, label %.lr.ph

.lr.ph:                                           ; preds = %0, %.lr.ph
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %5) #7
  %21 = 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)
  %22 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %21, ptr noundef nonnull align 4 dereferenceable(4) %4)
  %23 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %22, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %24 = load i32, ptr %3, align 4, !tbaa !8
  %25 = load i32, ptr %4, align 4, !tbaa !8
  %26 = load double, ptr %5, align 8, !tbaa !11
  call void @_Z8add_edgeiid(i32 noundef %24, i32 noundef %25, double noundef %26)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #7
  %27 = load i32, ptr %2, align 4, !tbaa !8
  %28 = add nsw i32 %27, -1
  store i32 %28, ptr %2, align 4, !tbaa !8
  %.not = icmp eq i32 %27, 0
  br i1 %.not, label %.preheader.preheader, label %.lr.ph, !llvm.loop !13

.preheader.preheader:                             ; preds = %.lr.ph, %0
  br label %.preheader

.preheader:                                       ; preds = %.preheader.preheader, %.preheader
  %.012 = phi double [ %.0., %.preheader ], [ -1.000000e+08, %.preheader.preheader ]
  %.0811 = phi double [ %..08, %.preheader ], [ 1.000000e+08, %.preheader.preheader ]
  %29 = fadd double %.0811, %.012
  %30 = fmul double %29, 5.000000e-01
  %31 = load i32, ptr %1, align 4, !tbaa !8
  %32 = call noundef zeroext i1 @_Z5checkdi(double noundef %30, i32 noundef %31)
  %..08 = select i1 %32, double %30, double %.0811
  %.0. = select i1 %32, double %.012, double %30
  %33 = fsub double %..08, %.0.
  %34 = fcmp ogt double %33, 1.000000e-10
  br i1 %34, label %.preheader, label %35, !llvm.loop !15

35:                                               ; preds = %.preheader
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @_ZSt5fixedRSt8ios_base)
  %37 = call i32 @_ZSt12setprecisioni(i32 noundef 8)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %36, i32 %37)
  %39 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %38, double noundef %.0.)
  %40 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %39, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #7
  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 #0 align 2

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 @_ZNSirsERd(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 #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) local_unnamed_addr #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5fixedRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) local_unnamed_addr #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) local_unnamed_addr #1 align 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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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 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 = { 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 = distinct !{!15, !14}


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