; LLVM IR from lzyrapx/Competitive-Programming :: 51Nod/1240（Mobius函数）.ll (Z6Mobiusx)

; 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"

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i64 @_Z6Mobiusx(i64 noundef %0) #0 {
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  store i64 %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #2
  store i64 1, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #2
  store i64 2, ptr %4, align 8, !tbaa !5
  br label %6

6:                                                ; preds = %38, %1
  %7 = load i64, ptr %4, align 8, !tbaa !5
  %8 = load i64, ptr %4, align 8, !tbaa !5
  %9 = mul nsw i64 %7, %8
  %10 = load i64, ptr %2, align 8, !tbaa !5
  %11 = icmp sle i64 %9, %10
  br i1 %11, label %13, label %12

12:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #2
  br label %41

13:                                               ; preds = %6
  %14 = load i64, ptr %2, align 8, !tbaa !5
  %15 = load i64, ptr %4, align 8, !tbaa !5
  %16 = srem i64 %14, %15
  %17 = icmp eq i64 %16, 0
  br i1 %17, label %18, label %37

18:                                               ; preds = %13
  %19 = load i64, ptr %3, align 8, !tbaa !5
  %20 = mul nsw i64 %19, -1
  store i64 %20, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #2
  store i64 0, ptr %5, align 8, !tbaa !5
  br label %21

21:                                               ; preds = %31, %18
  %22 = load i64, ptr %5, align 8, !tbaa !5
  %23 = add nsw i64 %22, 1
  store i64 %23, ptr %5, align 8, !tbaa !5
  %24 = load i64, ptr %5, align 8, !tbaa !5
  %25 = icmp sgt i64 %24, 1
  br i1 %25, label %26, label %27

26:                                               ; preds = %21
  store i64 0, ptr %3, align 8, !tbaa !5
  br label %36

27:                                               ; preds = %21
  %28 = load i64, ptr %4, align 8, !tbaa !5
  %29 = load i64, ptr %2, align 8, !tbaa !5
  %30 = sdiv i64 %29, %28
  store i64 %30, ptr %2, align 8, !tbaa !5
  br label %31

31:                                               ; preds = %27
  %32 = load i64, ptr %2, align 8, !tbaa !5
  %33 = load i64, ptr %4, align 8, !tbaa !5
  %34 = srem i64 %32, %33
  %35 = icmp eq i64 %34, 0
  br i1 %35, label %21, label %36, !llvm.loop !9

36:                                               ; preds = %31, %26
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #2
  br label %37

37:                                               ; preds = %36, %13
  br label %38

38:                                               ; preds = %37
  %39 = load i64, ptr %4, align 8, !tbaa !5
  %40 = add nsw i64 %39, 1
  store i64 %40, ptr %4, align 8, !tbaa !5
  br label %6, !llvm.loop !11

41:                                               ; preds = %12
  %42 = load i64, ptr %2, align 8, !tbaa !5
  %43 = icmp sgt i64 %42, 1
  br i1 %43, label %44, label %47

44:                                               ; preds = %41
  %45 = load i64, ptr %3, align 8, !tbaa !5
  %46 = mul nsw i64 %45, -1
  store i64 %46, ptr %3, align 8, !tbaa !5
  br label %47

47:                                               ; preds = %44, %41
  %48 = load i64, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #2
  ret i64 %48
}

; 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

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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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"}
!11 = distinct !{!11, !10}


; 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"

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef range(i64 -1, 2) i64 @_Z6Mobiusx(i64 noundef %0) local_unnamed_addr #0 {
  %.not23 = icmp slt i64 %0, 4
  br i1 %.not23, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.loopexit, %1
  %.018.lcssa = phi i64 [ %0, %1 ], [ %.321, %.loopexit ]
  %.017.lcssa = phi i64 [ 1, %1 ], [ %.2, %.loopexit ]
  %2 = icmp sgt i64 %.018.lcssa, 1
  %3 = sub nsw i64 0, %.017.lcssa
  %spec.select = select i1 %2, i64 %3, i64 %.017.lcssa
  ret i64 %spec.select

.lr.ph:                                           ; preds = %1, %.loopexit
  %.01626 = phi i64 [ %11, %.loopexit ], [ 2, %1 ]
  %.01725 = phi i64 [ %.2, %.loopexit ], [ 1, %1 ]
  %.01824 = phi i64 [ %.321, %.loopexit ], [ %0, %1 ]
  %4 = srem i64 %.01824, %.01626
  %5 = sdiv i64 %.01824, %.01626
  %6 = icmp eq i64 %4, 0
  br i1 %6, label %7, label %.loopexit

7:                                                ; preds = %.lr.ph
  %8 = sub nsw i64 0, %.01725
  %9 = srem i64 %5, %.01626
  %10 = icmp eq i64 %9, 0
  %spec.select29 = select i1 %10, i64 0, i64 %8
  br label %.loopexit, !llvm.loop !5

.loopexit:                                        ; preds = %7, %.lr.ph
  %.321 = phi i64 [ %.01824, %.lr.ph ], [ %5, %7 ]
  %.2 = phi i64 [ %.01725, %.lr.ph ], [ %spec.select29, %7 ]
  %11 = add nuw nsw i64 %.01626, 1
  %12 = mul nuw nsw i64 %11, %11
  %.not = icmp sgt i64 %12, %.321
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !7
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) 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" }

!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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}
!7 = distinct !{!7, !6}


; Effective O3 passes: DivRemPairsPass,GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SCCPPass,SROAPass,SimplifyCFGPass