; LLVM IR from AnneLivia/Competitive-Programming :: Online Judges/CSES (NumberSpiral)

; 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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  %8 = alloca i8, align 1
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #4
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  br label %10

10:                                               ; preds = %70, %0
  %11 = load i64, ptr %2, align 8, !tbaa !5
  %12 = add i64 %11, -1
  store i64 %12, ptr %2, align 8, !tbaa !5
  %13 = icmp ne i64 %11, 0
  br i1 %13, label %14, label %71

14:                                               ; preds = %10
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) %15, ptr noundef nonnull align 8 dereferenceable(8) %4)
  %17 = load i64, ptr %3, align 8, !tbaa !5
  %18 = load i64, ptr %4, align 8, !tbaa !5
  %19 = icmp ugt i64 %17, %18
  br i1 %19, label %20, label %22

20:                                               ; preds = %14
  %21 = load i64, ptr %3, align 8, !tbaa !5
  br label %24

22:                                               ; preds = %14
  %23 = load i64, ptr %4, align 8, !tbaa !5
  br label %24

24:                                               ; preds = %22, %20
  %25 = phi i64 [ %21, %20 ], [ %23, %22 ]
  store i64 %25, ptr %7, align 8, !tbaa !5
  %26 = load i64, ptr %7, align 8, !tbaa !5
  %27 = sub i64 %26, 1
  %28 = mul i64 2, %27
  store i64 %28, ptr %6, align 8, !tbaa !5
  %29 = load i64, ptr %6, align 8, !tbaa !5
  %30 = add i64 2, %29
  %31 = load i64, ptr %7, align 8, !tbaa !5
  %32 = sub i64 %31, 1
  %33 = mul i64 %30, %32
  %34 = udiv i64 %33, 2
  %35 = add i64 %34, 1
  store i64 %35, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 1, ptr %8) #4
  %36 = load i64, ptr %7, align 8, !tbaa !5
  %37 = and i64 %36, 1
  %38 = icmp ne i64 %37, 0
  %39 = xor i1 %38, true
  %40 = zext i1 %39 to i64
  %41 = select i1 %39, i1 true, i1 false
  %42 = zext i1 %41 to i8
  store i8 %42, ptr %8, align 1, !tbaa !9
  %43 = load i64, ptr %3, align 8, !tbaa !5
  %44 = load i64, ptr %4, align 8, !tbaa !5
  %45 = icmp ne i64 %43, %44
  br i1 %45, label %46, label %66

46:                                               ; preds = %24
  %47 = load i8, ptr %8, align 1, !tbaa !9, !range !11, !noundef !12
  %48 = trunc i8 %47 to i1
  br i1 %48, label %49, label %57

49:                                               ; preds = %46
  %50 = load i64, ptr %5, align 8, !tbaa !5
  %51 = load i64, ptr %4, align 8, !tbaa !5
  %52 = load i64, ptr %3, align 8, !tbaa !5
  %53 = sub i64 %51, %52
  %54 = sub i64 %50, %53
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %54)
  %56 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %55, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %65

57:                                               ; preds = %46
  %58 = load i64, ptr %5, align 8, !tbaa !5
  %59 = load i64, ptr %4, align 8, !tbaa !5
  %60 = load i64, ptr %3, align 8, !tbaa !5
  %61 = sub i64 %59, %60
  %62 = add i64 %58, %61
  %63 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %62)
  %64 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %63, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %65

65:                                               ; preds = %57, %49
  br label %70

66:                                               ; preds = %24
  %67 = load i64, ptr %5, align 8, !tbaa !5
  %68 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %67)
  %69 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %68, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %70

70:                                               ; preds = %66, %65
  call void @llvm.lifetime.end.p0(i64 1, ptr %8) #4
  br label %10, !llvm.loop !13

71:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #4
  ret i32 0
}

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #2 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)) #3

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

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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 #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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"bool", !7, i64 0}
!11 = !{i8 0, i8 2}
!12 = !{}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}


; 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 norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #5
  %4 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %5 = load i64, ptr %1, align 8, !tbaa !5
  %6 = add i64 %5, -1
  store i64 %6, ptr %1, align 8, !tbaa !5
  %.not13 = icmp eq i64 %5, 0
  br i1 %.not13, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %25
  %7 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16) %7, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %9 = load i64, ptr %2, align 8
  %10 = load i64, ptr %3, align 8
  %11 = call i64 @llvm.umax.i64(i64 %9, i64 %10)
  %12 = add i64 %11, -1
  %13 = shl i64 %12, 1
  %14 = add i64 %13, 2
  %15 = mul i64 %14, %12
  %16 = lshr exact i64 %15, 1
  %17 = add nuw i64 %16, 1
  %.not10 = icmp eq i64 %9, %10
  br i1 %.not10, label %25, label %18

18:                                               ; preds = %.lr.ph
  %19 = and i64 %11, 1
  %.not9 = icmp eq i64 %19, 0
  br i1 %.not9, label %20, label %22

20:                                               ; preds = %18
  %.neg = sub i64 %9, %10
  %21 = add i64 %.neg, %17
  br label %25

22:                                               ; preds = %18
  %23 = sub i64 %10, %9
  %24 = add i64 %23, %17
  br label %25

25:                                               ; preds = %.lr.ph, %20, %22
  %.sink14 = phi i64 [ %21, %20 ], [ %24, %22 ], [ %17, %.lr.ph ]
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.sink14)
  %27 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %26, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %28 = load i64, ptr %1, align 8, !tbaa !5
  %29 = add i64 %28, -1
  store i64 %29, ptr %1, align 8, !tbaa !5
  %.not = icmp eq i64 %28, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9

._crit_edge:                                      ; preds = %25, %0
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #5
  ret i32 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 uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERy(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEy(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #2 align 2

; 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 #2 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)) #3

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

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i64 @llvm.umax.i64(i64, i64) #4

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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 #4 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #5 = { 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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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