; LLVM IR from HarshCasper/NeoAlgo :: C-Plus-Plus/dp/Tiling_2xN.ll (Z12numberOfWaysx)

; 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<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::allocator" = type { i8 }

; Function Attrs: mustprogress uwtable
define dso_local noundef i64 @_Z12numberOfWaysx(i64 noundef %0) #0 personality ptr @__gxx_personality_v0 {
  %2 = alloca i64, align 8
  %3 = alloca i32, align 4
  %4 = alloca %"class.std::vector", align 8
  %5 = alloca i64, align 8
  %6 = alloca %"class.std::allocator", align 1
  %7 = alloca ptr, align 8
  %8 = alloca i32, align 4
  %9 = alloca i32, align 4
  store i64 %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #3
  store i32 1000000007, ptr %3, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 24, ptr %4) #3
  %10 = load i64, ptr %2, align 8, !tbaa !5
  %11 = add nsw i64 %10, 1
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  store i64 0, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 1, ptr %6) #3
  call void @_ZNSaIxEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %6) #3
  invoke void @_ZNSt6vectorIxSaIxEEC2EmRKxRKS0_(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef %11, ptr noundef nonnull align 8 dereferenceable(8) %5, ptr noundef nonnull align 1 dereferenceable(1) %6)
          to label %12 unwind label %21

12:                                               ; preds = %1
  call void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %6) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr %6) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  %13 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef 1) #3
  store i64 1, ptr %13, align 8, !tbaa !5
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef 2) #3
  store i64 2, ptr %14, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #3
  store i32 3, ptr %9, align 4, !tbaa !9
  br label %15

15:                                               ; preds = %49, %12
  %16 = load i32, ptr %9, align 4, !tbaa !9
  %17 = sext i32 %16 to i64
  %18 = load i64, ptr %2, align 8, !tbaa !5
  %19 = icmp sle i64 %17, %18
  br i1 %19, label %25, label %20

20:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #3
  br label %52

21:                                               ; preds = %1
  %22 = landingpad { ptr, i32 }
          cleanup
  %23 = extractvalue { ptr, i32 } %22, 0
  store ptr %23, ptr %7, align 8
  %24 = extractvalue { ptr, i32 } %22, 1
  store i32 %24, ptr %8, align 4
  call void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %6) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr %6) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #3
  br label %56

25:                                               ; preds = %15
  %26 = load i32, ptr %9, align 4, !tbaa !9
  %27 = sub nsw i32 %26, 2
  %28 = sext i32 %27 to i64
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef %28) #3
  %30 = load i64, ptr %29, align 8, !tbaa !5
  %31 = load i32, ptr %3, align 4, !tbaa !9
  %32 = sext i32 %31 to i64
  %33 = srem i64 %30, %32
  %34 = load i32, ptr %9, align 4, !tbaa !9
  %35 = sub nsw i32 %34, 1
  %36 = sext i32 %35 to i64
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef %36) #3
  %38 = load i64, ptr %37, align 8, !tbaa !5
  %39 = load i32, ptr %3, align 4, !tbaa !9
  %40 = sext i32 %39 to i64
  %41 = srem i64 %38, %40
  %42 = add nsw i64 %33, %41
  %43 = load i32, ptr %3, align 4, !tbaa !9
  %44 = sext i32 %43 to i64
  %45 = srem i64 %42, %44
  %46 = load i32, ptr %9, align 4, !tbaa !9
  %47 = sext i32 %46 to i64
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef %47) #3
  store i64 %45, ptr %48, align 8, !tbaa !5
  br label %49

49:                                               ; preds = %25
  %50 = load i32, ptr %9, align 4, !tbaa !9
  %51 = add nsw i32 %50, 1
  store i32 %51, ptr %9, align 4, !tbaa !9
  br label %15, !llvm.loop !11

52:                                               ; preds = %20
  %53 = load i64, ptr %2, align 8, !tbaa !5
  %54 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %4, i64 noundef %53) #3
  %55 = load i64, ptr %54, align 8, !tbaa !5
  call void @_ZNSt6vectorIxSaIxEED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %4) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #3
  ret i64 %55

56:                                               ; preds = %21
  %57 = load ptr, ptr %7, align 8
  %58 = load i32, ptr %8, align 4
  %59 = insertvalue { ptr, i32 } poison, ptr %57, 0
  %60 = insertvalue { ptr, i32 } %59, i32 %58, 1
  resume { ptr, i32 } %60
}

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSaIxEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEEC2EmRKxRKS0_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

declare i32 @__gxx_personality_v0(...)

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

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 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 #3 = { 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 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<long long, std::allocator<long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::allocator" = type { i8 }

; Function Attrs: mustprogress uwtable
define dso_local noundef i64 @_Z12numberOfWaysx(i64 noundef %0) local_unnamed_addr #0 personality ptr @__gxx_personality_v0 {
  %2 = alloca %"class.std::vector", align 8
  %3 = alloca i64, align 8
  %4 = alloca %"class.std::allocator", align 1
  call void @llvm.lifetime.start.p0(i64 24, ptr nonnull %2) #3
  %5 = add nsw i64 %0, 1
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #3
  store i64 0, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 1, ptr nonnull %4) #3
  call void @_ZNSaIxEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  invoke void @_ZNSt6vectorIxSaIxEEC2EmRKxRKS0_(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %5, ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 1 dereferenceable(1) %4)
          to label %6 unwind label %11

6:                                                ; preds = %1
  call void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %4) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #3
  %7 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef 1) #3
  store i64 1, ptr %7, align 8, !tbaa !5
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef 2) #3
  store i64 2, ptr %8, align 8, !tbaa !5
  %.not14 = icmp slt i64 %0, 3
  br i1 %.not14, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %6
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %0) #3
  %10 = load i64, ptr %9, align 8, !tbaa !5
  call void @_ZNSt6vectorIxSaIxEED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %2) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %2) #3
  ret i64 %10

11:                                               ; preds = %1
  %12 = landingpad { ptr, i32 }
          cleanup
  call void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %4) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %2) #3
  resume { ptr, i32 } %12

.lr.ph:                                           ; preds = %6, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 3, %6 ]
  %13 = add nsw i64 %indvars.iv, -2
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %13) #3
  %15 = load i64, ptr %14, align 8, !tbaa !5
  %16 = srem i64 %15, 1000000007
  %17 = add nsw i64 %indvars.iv, -1
  %18 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %17) #3
  %19 = load i64, ptr %18, align 8, !tbaa !5
  %20 = srem i64 %19, 1000000007
  %21 = add nsw i64 %20, %16
  %.lhs.trunc = trunc nsw i64 %21 to i32
  %22 = srem i32 %.lhs.trunc, 1000000007
  %.sext = sext i32 %22 to i64
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %indvars.iv) #3
  store i64 %.sext, ptr %23, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %.not.not = icmp slt i64 %indvars.iv, %0
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !9
}

; 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 nounwind uwtable
declare dso_local void @_ZNSaIxEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEEC2EmRKxRKS0_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

declare i32 @__gxx_personality_v0(...)

; 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 nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIxSaIxEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIxSaIxEED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIxED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

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 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 #3 = { 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: CorrelatedValuePropagationPass,EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass