; LLVM IR from reyadussalahin/problem-solving :: graph/dfs/codeforces/F701E (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::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 }

@adj = external dso_local global [200020 x %"class.std::vector"], align 16
@hasUniversity = external dso_local global [200020 x i32], align 16
@n = external dso_local global i32, align 4
@k = external dso_local global i32, align 4
@k2 = external dso_local global i32, align 4
@maxSum = external dso_local global i64, align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [6 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z3dfsi(i32 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 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 i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef @n, ptr noundef @k)
  %8 = load i32, ptr @k, align 4, !tbaa !5
  %9 = load i32, ptr @k, align 4, !tbaa !5
  %10 = add nsw i32 %8, %9
  store i32 %10, ptr @k2, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #4
  store i32 0, ptr %2, align 4, !tbaa !5
  br label %11

11:                                               ; preds = %21, %0
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = load i32, ptr @k2, align 4, !tbaa !5
  %14 = icmp slt i32 %12, %13
  br i1 %14, label %16, label %15

15:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #4
  br label %24

16:                                               ; preds = %11
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #4
  %17 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef %3)
  %18 = load i32, ptr %3, align 4, !tbaa !5
  %19 = sext i32 %18 to i64
  %20 = getelementptr inbounds [200020 x i32], ptr @hasUniversity, i64 0, i64 %19
  store i32 1, ptr %20, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #4
  br label %21

21:                                               ; preds = %16
  %22 = load i32, ptr %2, align 4, !tbaa !5
  %23 = add nsw i32 %22, 1
  store i32 %23, ptr %2, align 4, !tbaa !5
  br label %11, !llvm.loop !9

24:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #4
  store i32 1, ptr %4, align 4, !tbaa !5
  br label %25

25:                                               ; preds = %38, %24
  %26 = load i32, ptr %4, align 4, !tbaa !5
  %27 = load i32, ptr @n, align 4, !tbaa !5
  %28 = icmp slt i32 %26, %27
  br i1 %28, label %30, label %29

29:                                               ; preds = %25
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #4
  br label %41

30:                                               ; preds = %25
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #4
  %31 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %5, ptr noundef %6)
  %32 = load i32, ptr %5, align 4, !tbaa !5
  %33 = sext i32 %32 to i64
  %34 = getelementptr inbounds [200020 x %"class.std::vector"], ptr @adj, i64 0, i64 %33
  call void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24) %34, ptr noundef nonnull align 4 dereferenceable(4) %6)
  %35 = load i32, ptr %6, align 4, !tbaa !5
  %36 = sext i32 %35 to i64
  %37 = getelementptr inbounds [200020 x %"class.std::vector"], ptr @adj, i64 0, i64 %36
  call void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24) %37, ptr noundef nonnull align 4 dereferenceable(4) %5)
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #4
  br label %38

38:                                               ; preds = %30
  %39 = load i32, ptr %4, align 4, !tbaa !5
  %40 = add nsw i32 %39, 1
  store i32 %40, ptr %4, align 4, !tbaa !5
  br label %25, !llvm.loop !11

41:                                               ; preds = %29
  %42 = call noundef i32 @_Z3dfsi(i32 noundef 1)
  %43 = load i64, ptr @maxSum, align 8, !tbaa !12
  %44 = call i32 (ptr, ...) @printf(ptr noundef @.str.3, i64 noundef %43)
  ret i32 0
}

declare i32 @__isoc99_scanf(ptr noundef, ...) #3

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 4 dereferenceable(4)) #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 = { 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = distinct !{!11, !10}
!12 = !{!13, !13, i64 0}
!13 = !{!"long long", !7, i64 0}


; 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 }

@adj = external dso_local global [200020 x %"class.std::vector"], align 16
@hasUniversity = external dso_local local_unnamed_addr global [200020 x i32], align 16
@n = external dso_local global i32, align 4
@k = external dso_local global i32, align 4
@k2 = external dso_local local_unnamed_addr global i32, align 4
@maxSum = external dso_local local_unnamed_addr global i64, align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [6 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z3dfsi(i32 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 i32, align 4
  %3 = alloca i32, align 4
  %4 = tail call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull @n, ptr noundef nonnull @k)
  %5 = load i32, ptr @k, align 4, !tbaa !5
  %6 = shl nsw i32 %5, 1
  store i32 %6, ptr @k2, align 4, !tbaa !5
  %7 = icmp sgt i32 %5, 0
  br i1 %7, label %.lr.ph, label %.preheader

.preheader:                                       ; preds = %.lr.ph, %0
  %8 = load i32, ptr @n, align 4, !tbaa !5
  %9 = icmp sgt i32 %8, 1
  br i1 %9, label %.lr.ph7, label %._crit_edge

.lr.ph:                                           ; preds = %0, %.lr.ph
  %.045 = phi i32 [ %14, %.lr.ph ], [ 0, %0 ]
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #4
  %10 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull %1)
  %11 = load i32, ptr %1, align 4, !tbaa !5
  %12 = sext i32 %11 to i64
  %13 = getelementptr inbounds [200020 x i32], ptr @hasUniversity, i64 0, i64 %12
  store i32 1, ptr %13, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #4
  %14 = add nuw nsw i32 %.045, 1
  %15 = load i32, ptr @k2, align 4, !tbaa !5
  %16 = icmp slt i32 %14, %15
  br i1 %16, label %.lr.ph, label %.preheader, !llvm.loop !9

._crit_edge:                                      ; preds = %.lr.ph7, %.preheader
  %17 = call noundef i32 @_Z3dfsi(i32 noundef 1)
  %18 = load i64, ptr @maxSum, align 8, !tbaa !11
  %19 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.3, i64 noundef %18)
  ret i32 0

.lr.ph7:                                          ; preds = %.preheader, %.lr.ph7
  %.06 = phi i32 [ %27, %.lr.ph7 ], [ 1, %.preheader ]
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #4
  %20 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %2, ptr noundef nonnull %3)
  %21 = load i32, ptr %2, align 4, !tbaa !5
  %22 = sext i32 %21 to i64
  %23 = getelementptr inbounds [200020 x %"class.std::vector"], ptr @adj, i64 0, i64 %22
  call void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24) %23, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %24 = load i32, ptr %3, align 4, !tbaa !5
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds [200020 x %"class.std::vector"], ptr @adj, i64 0, i64 %25
  call void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24) %26, ptr noundef nonnull align 4 dereferenceable(4) %2)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #4
  %27 = add nuw nsw i32 %.06, 1
  %28 = load i32, ptr @n, align 4, !tbaa !5
  %29 = icmp slt i32 %27, %28
  br i1 %29, label %.lr.ph7, label %._crit_edge, !llvm.loop !13
}

; Function Attrs: nofree nounwind
declare noundef i32 @__isoc99_scanf(ptr nocapture noundef readonly, ...) local_unnamed_addr #3

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIiSaIiEE9push_backERKi(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #0 align 2

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #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 = { 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 = { 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 #4 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !7, i64 0}
!13 = distinct !{!13, !10}


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