; LLVM IR from ritikbanger/Hacktoberfest2022-DSA :: 30. CPP Programs (codeforces_745_A_solution)

; 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 [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external global ptr, align 8
@.str.2 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external global ptr, align 8
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [21 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z9binaryexpxxx(i64 noundef, i64 noundef, i64 noundef) #0

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

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #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 i32, align 4
  %4 = alloca [200005 x i64], align 16
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  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)
  %13 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %14 = getelementptr i8, ptr %13, i64 -24
  %15 = load i64, ptr %14, align 8
  %16 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %15
  %17 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %16, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #7
  %18 = call i64 @clock() #7
  store i64 %18, ptr %2, align 8, !tbaa !8
  %19 = load ptr, ptr @stdin, align 8, !tbaa !11
  %20 = call ptr @freopen(ptr noundef @.str, ptr noundef @.str.1, ptr noundef %19)
  %21 = load ptr, ptr @stdout, align 8, !tbaa !11
  %22 = call ptr @freopen(ptr noundef @.str.2, ptr noundef @.str.3, ptr noundef %21)
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  %23 = 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)
  call void @llvm.lifetime.start.p0(i64 1600040, ptr %4) #7
  %24 = getelementptr inbounds [200005 x i64], ptr %4, i64 0, i64 0
  store i64 1, ptr %24, align 16, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #7
  store i64 1, ptr %5, align 8, !tbaa !13
  br label %25

25:                                               ; preds = %39, %0
  %26 = load i64, ptr %5, align 8, !tbaa !13
  %27 = icmp slt i64 %26, 200005
  br i1 %27, label %29, label %28

28:                                               ; preds = %25
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #7
  br label %42

29:                                               ; preds = %25
  %30 = load i64, ptr %5, align 8, !tbaa !13
  %31 = sub nsw i64 %30, 1
  %32 = getelementptr inbounds [200005 x i64], ptr %4, i64 0, i64 %31
  %33 = load i64, ptr %32, align 8, !tbaa !13
  %34 = load i64, ptr %5, align 8, !tbaa !13
  %35 = mul nsw i64 %33, %34
  %36 = srem i64 %35, 1000000007
  %37 = load i64, ptr %5, align 8, !tbaa !13
  %38 = getelementptr inbounds [200005 x i64], ptr %4, i64 0, i64 %37
  store i64 %36, ptr %38, align 8, !tbaa !13
  br label %39

39:                                               ; preds = %29
  %40 = load i64, ptr %5, align 8, !tbaa !13
  %41 = add nsw i64 %40, 1
  store i64 %41, ptr %5, align 8, !tbaa !13
  br label %25, !llvm.loop !15

42:                                               ; preds = %28
  br label %43

43:                                               ; preds = %47, %42
  %44 = load i32, ptr %3, align 4, !tbaa !17
  %45 = add nsw i32 %44, -1
  store i32 %45, ptr %3, align 4, !tbaa !17
  %46 = icmp ne i32 %44, 0
  br i1 %46, label %47, label %58

47:                                               ; preds = %43
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #7
  %48 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %49 = load i64, ptr %6, align 8, !tbaa !13
  %50 = mul nsw i64 2, %49
  %51 = getelementptr inbounds [200005 x i64], ptr %4, i64 0, i64 %50
  %52 = load i64, ptr %51, align 8, !tbaa !13
  %53 = call noundef i64 @_Z9binaryexpxxx(i64 noundef 2, i64 noundef 1000000005, i64 noundef 1000000007)
  %54 = mul nsw i64 %52, %53
  %55 = srem i64 %54, 1000000007
  %56 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %55)
  %57 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %56, ptr noundef @.str.4)
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #7
  br label %43, !llvm.loop !19

58:                                               ; preds = %43
  %59 = call i64 @clock() #7
  %60 = load i64, ptr %2, align 8, !tbaa !8
  %61 = sub nsw i64 %59, %60
  %62 = sitofp i64 %61 to double
  %63 = fdiv double %62, 1.000000e+06
  %64 = call i32 (ptr, ...) @printf(ptr noundef @.str.5, double noundef %63)
  call void @llvm.lifetime.end.p0(i64 1600040, ptr %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #7
  %65 = load i32, ptr %1, align 4
  ret i32 %65
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #4 align 2

; Function Attrs: nounwind
declare i64 @clock() #5

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) #3

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #3

; 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: 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) #6

; 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

declare i32 @printf(ptr noundef, ...) #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 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 = { "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 = { 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 #5 = { nounwind "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 = !{!"long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"any pointer", !10, i64 0}
!13 = !{!14, !14, i64 0}
!14 = !{!"long long", !10, i64 0}
!15 = distinct !{!15, !16}
!16 = !{!"llvm.loop.mustprogress"}
!17 = !{!18, !18, i64 0}
!18 = !{!"int", !10, i64 0}
!19 = distinct !{!19, !16}


; 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 [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external local_unnamed_addr global ptr, align 8
@.str.2 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external local_unnamed_addr global ptr, align 8
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [21 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z9binaryexpxxx(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #0

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

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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = alloca i32, align 4
  %2 = alloca [200005 x i64], align 16
  %3 = alloca i64, align 8
  %4 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  %10 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %11 = getelementptr i8, ptr %10, i64 -24
  %12 = load i64, ptr %11, align 8
  %13 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %12
  %14 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %13, ptr noundef null)
  %15 = tail call i64 @clock() #8
  %16 = load ptr, ptr @stdin, align 8, !tbaa !8
  %17 = tail call ptr @freopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.1, ptr noundef %16)
  %18 = load ptr, ptr @stdout, align 8, !tbaa !8
  %19 = tail call ptr @freopen(ptr noundef nonnull @.str.2, ptr noundef nonnull @.str.3, ptr noundef %18)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #8
  %20 = 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)
  call void @llvm.lifetime.start.p0(i64 1600040, ptr nonnull %2) #8
  store i64 1, ptr %2, align 16, !tbaa !11
  br label %23

.preheader:                                       ; preds = %23
  %21 = load i32, ptr %1, align 4, !tbaa !13
  %22 = add nsw i32 %21, -1
  store i32 %22, ptr %1, align 4, !tbaa !13
  %.not8 = icmp eq i32 %21, 0
  br i1 %.not8, label %._crit_edge, label %.lr.ph

23:                                               ; preds = %23, %0
  %24 = phi i64 [ 1, %0 ], [ %34, %23 ]
  %.07 = phi i64 [ 1, %0 ], [ %36, %23 ]
  %25 = mul nsw i64 %24, %.07
  %26 = srem i64 %25, 1000000007
  %27 = getelementptr inbounds [200005 x i64], ptr %2, i64 0, i64 %.07
  store i64 %26, ptr %27, align 8, !tbaa !11
  %28 = add nuw nsw i64 %.07, 1
  %29 = mul nsw i64 %26, %28
  %30 = srem i64 %29, 1000000007
  %31 = getelementptr inbounds [200005 x i64], ptr %2, i64 0, i64 %28
  store i64 %30, ptr %31, align 8, !tbaa !11
  %32 = add nuw nsw i64 %.07, 2
  %33 = mul nsw i64 %30, %32
  %34 = srem i64 %33, 1000000007
  %35 = getelementptr inbounds [200005 x i64], ptr %2, i64 0, i64 %32
  store i64 %34, ptr %35, align 8, !tbaa !11
  %36 = add nuw nsw i64 %.07, 3
  %exitcond.not.2 = icmp eq i64 %36, 200005
  br i1 %exitcond.not.2, label %.preheader, label %23, !llvm.loop !15

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #8
  %37 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %38 = load i64, ptr %3, align 8, !tbaa !11
  %39 = shl nsw i64 %38, 1
  %40 = getelementptr inbounds [200005 x i64], ptr %2, i64 0, i64 %39
  %41 = load i64, ptr %40, align 16, !tbaa !11
  %42 = call noundef i64 @_Z9binaryexpxxx(i64 noundef 2, i64 noundef 1000000005, i64 noundef 1000000007)
  %43 = mul nsw i64 %42, %41
  %44 = srem i64 %43, 1000000007
  %45 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %44)
  %46 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %45, ptr noundef nonnull @.str.4)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #8
  %47 = load i32, ptr %1, align 4, !tbaa !13
  %48 = add nsw i32 %47, -1
  store i32 %48, ptr %1, align 4, !tbaa !13
  %.not = icmp eq i32 %47, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !17

._crit_edge:                                      ; preds = %.lr.ph, %.preheader
  %49 = call i64 @clock() #8
  %50 = sub nsw i64 %49, %15
  %51 = sitofp i64 %50 to double
  %52 = fdiv double %51, 1.000000e+06
  %53 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.5, double noundef %52)
  call void @llvm.lifetime.end.p0(i64 1600040, ptr nonnull %2) #8
  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 #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #4 align 2

; Function Attrs: nounwind
declare i64 @clock() local_unnamed_addr #5

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #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 #3

; 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 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

; 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: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #7

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 nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { "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 = { 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 #5 = { nounwind "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 = { nofree nounwind "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 = !{!"any pointer", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !10, i64 0}
!13 = !{!14, !14, i64 0}
!14 = !{!"int", !10, i64 0}
!15 = distinct !{!15, !16}
!16 = !{!"llvm.loop.mustprogress"}
!17 = distinct !{!17, !16}


; Effective O3 passes: BDCEPass,EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass