; LLVM IR from Hunterdii/GeeksforGeeks-POTD :: December 2024 GFG SOLUTION (December-20)

; 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"

@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: nounwind uwtable
declare dso_local void @spirallyTraverse(ptr noundef, i32 noundef, i32 noundef) #0

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

declare i32 @printf(ptr noundef, ...) #2

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

; Function Attrs: nounwind uwtable
define dso_local i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca ptr, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  %9 = alloca i32, align 4
  %10 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  %11 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef %2)
  br label %12

12:                                               ; preds = %88, %0
  %13 = load i32, ptr %2, align 4, !tbaa !5
  %14 = add nsw i32 %13, -1
  store i32 %14, ptr %2, align 4, !tbaa !5
  %15 = icmp ne i32 %13, 0
  br i1 %15, label %16, label %90

16:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #5
  %17 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef %3)
  %18 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef %4)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #5
  %19 = load i32, ptr %3, align 4, !tbaa !5
  %20 = sext i32 %19 to i64
  %21 = mul i64 %20, 8
  %22 = call noalias ptr @malloc(i64 noundef %21) #6
  store ptr %22, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #5
  store i32 0, ptr %6, align 4, !tbaa !5
  br label %23

23:                                               ; preds = %37, %16
  %24 = load i32, ptr %6, align 4, !tbaa !5
  %25 = load i32, ptr %3, align 4, !tbaa !5
  %26 = icmp slt i32 %24, %25
  br i1 %26, label %28, label %27

27:                                               ; preds = %23
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #5
  br label %40

28:                                               ; preds = %23
  %29 = load i32, ptr %4, align 4, !tbaa !5
  %30 = sext i32 %29 to i64
  %31 = mul i64 %30, 4
  %32 = call noalias ptr @malloc(i64 noundef %31) #6
  %33 = load ptr, ptr %5, align 8, !tbaa !9
  %34 = load i32, ptr %6, align 4, !tbaa !5
  %35 = sext i32 %34 to i64
  %36 = getelementptr inbounds ptr, ptr %33, i64 %35
  store ptr %32, ptr %36, align 8, !tbaa !9
  br label %37

37:                                               ; preds = %28
  %38 = load i32, ptr %6, align 4, !tbaa !5
  %39 = add nsw i32 %38, 1
  store i32 %39, ptr %6, align 4, !tbaa !5
  br label %23, !llvm.loop !11

40:                                               ; preds = %27
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #5
  store i32 0, ptr %7, align 4, !tbaa !5
  br label %41

41:                                               ; preds = %66, %40
  %42 = load i32, ptr %7, align 4, !tbaa !5
  %43 = load i32, ptr %3, align 4, !tbaa !5
  %44 = icmp slt i32 %42, %43
  br i1 %44, label %46, label %45

45:                                               ; preds = %41
  store i32 7, ptr %8, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #5
  br label %69

46:                                               ; preds = %41
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #5
  store i32 0, ptr %9, align 4, !tbaa !5
  br label %47

47:                                               ; preds = %62, %46
  %48 = load i32, ptr %9, align 4, !tbaa !5
  %49 = load i32, ptr %4, align 4, !tbaa !5
  %50 = icmp slt i32 %48, %49
  br i1 %50, label %52, label %51

51:                                               ; preds = %47
  store i32 10, ptr %8, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #5
  br label %65

52:                                               ; preds = %47
  %53 = load ptr, ptr %5, align 8, !tbaa !9
  %54 = load i32, ptr %7, align 4, !tbaa !5
  %55 = sext i32 %54 to i64
  %56 = getelementptr inbounds ptr, ptr %53, i64 %55
  %57 = load ptr, ptr %56, align 8, !tbaa !9
  %58 = load i32, ptr %9, align 4, !tbaa !5
  %59 = sext i32 %58 to i64
  %60 = getelementptr inbounds i32, ptr %57, i64 %59
  %61 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.2, ptr noundef %60)
  br label %62

62:                                               ; preds = %52
  %63 = load i32, ptr %9, align 4, !tbaa !5
  %64 = add nsw i32 %63, 1
  store i32 %64, ptr %9, align 4, !tbaa !5
  br label %47, !llvm.loop !13

65:                                               ; preds = %51
  br label %66

66:                                               ; preds = %65
  %67 = load i32, ptr %7, align 4, !tbaa !5
  %68 = add nsw i32 %67, 1
  store i32 %68, ptr %7, align 4, !tbaa !5
  br label %41, !llvm.loop !14

69:                                               ; preds = %45
  %70 = load ptr, ptr %5, align 8, !tbaa !9
  %71 = load i32, ptr %3, align 4, !tbaa !5
  %72 = load i32, ptr %4, align 4, !tbaa !5
  call void @spirallyTraverse(ptr noundef %70, i32 noundef %71, i32 noundef %72)
  %73 = call i32 (ptr, ...) @printf(ptr noundef @.str.3, ptr noundef @.str.4)
  call void @llvm.lifetime.start.p0(i64 4, ptr %10) #5
  store i32 0, ptr %10, align 4, !tbaa !5
  br label %74

74:                                               ; preds = %85, %69
  %75 = load i32, ptr %10, align 4, !tbaa !5
  %76 = load i32, ptr %3, align 4, !tbaa !5
  %77 = icmp slt i32 %75, %76
  br i1 %77, label %79, label %78

78:                                               ; preds = %74
  store i32 13, ptr %8, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %10) #5
  br label %88

79:                                               ; preds = %74
  %80 = load ptr, ptr %5, align 8, !tbaa !9
  %81 = load i32, ptr %10, align 4, !tbaa !5
  %82 = sext i32 %81 to i64
  %83 = getelementptr inbounds ptr, ptr %80, i64 %82
  %84 = load ptr, ptr %83, align 8, !tbaa !9
  call void @free(ptr noundef %84) #5
  br label %85

85:                                               ; preds = %79
  %86 = load i32, ptr %10, align 4, !tbaa !5
  %87 = add nsw i32 %86, 1
  store i32 %87, ptr %10, align 4, !tbaa !5
  br label %74, !llvm.loop !15

88:                                               ; preds = %78
  %89 = load ptr, ptr %5, align 8, !tbaa !9
  call void @free(ptr noundef %89) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  br label %12, !llvm.loop !16

90:                                               ; preds = %12
  store i32 0, ptr %1, align 4
  store i32 1, ptr %8, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  %91 = load i32, ptr %1, align 4
  ret i32 %91
}

declare i32 @__isoc99_scanf(ptr noundef, ...) #2

; Function Attrs: nounwind allocsize(0)
declare noalias ptr @malloc(i64 noundef) #3

; Function Attrs: nounwind
declare void @free(ptr noundef) #4

attributes #0 = { 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 = { "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 allocsize(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 "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 }
attributes #6 = { nounwind allocsize(0) }

!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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}
!14 = distinct !{!14, !12}
!15 = distinct !{!15, !12}
!16 = distinct !{!16, !12}


; 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"

@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: nounwind uwtable
declare dso_local void @spirallyTraverse(ptr noundef, i32 noundef, 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: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

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

; Function Attrs: nounwind uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #5
  %4 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull %1)
  %5 = load i32, ptr %1, align 4, !tbaa !5
  %6 = add nsw i32 %5, -1
  store i32 %6, ptr %1, align 4, !tbaa !5
  %.not31 = icmp eq i32 %5, 0
  br i1 %.not31, label %._crit_edge34, label %.lr.ph33

.lr.ph33:                                         ; preds = %0, %._crit_edge30
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #5
  %7 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull %2)
  %8 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef nonnull %3)
  %9 = load i32, ptr %2, align 4, !tbaa !5
  %10 = sext i32 %9 to i64
  %11 = shl nsw i64 %10, 3
  %12 = call noalias ptr @malloc(i64 noundef %11) #6
  %13 = icmp sgt i32 %9, 0
  %.pre47.pre = load i32, ptr %3, align 4, !tbaa !5
  br i1 %13, label %.lr.ph, label %._crit_edge26

.lr.ph:                                           ; preds = %.lr.ph33
  %14 = sext i32 %.pre47.pre to i64
  %15 = shl nsw i64 %14, 2
  %wide.trip.count = zext nneg i32 %9 to i64
  br label %17

.preheader21:                                     ; preds = %17
  %16 = icmp sgt i32 %.pre47.pre, 0
  %or.cond = select i1 %13, i1 %16, i1 false
  br i1 %or.cond, label %.preheader, label %._crit_edge26

17:                                               ; preds = %.lr.ph, %17
  %indvars.iv = phi i64 [ 0, %.lr.ph ], [ %indvars.iv.next, %17 ]
  %18 = call noalias ptr @malloc(i64 noundef %15) #6
  %19 = getelementptr inbounds ptr, ptr %12, i64 %indvars.iv
  store ptr %18, ptr %19, align 8, !tbaa !9
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %.preheader21, label %17, !llvm.loop !11

.preheader:                                       ; preds = %.preheader21, %._crit_edge
  %20 = phi i32 [ %28, %._crit_edge ], [ %9, %.preheader21 ]
  %21 = phi i32 [ %29, %._crit_edge ], [ %.pre47.pre, %.preheader21 ]
  %indvars.iv41 = phi i64 [ %indvars.iv.next42, %._crit_edge ], [ 0, %.preheader21 ]
  %22 = icmp sgt i32 %21, 0
  br i1 %22, label %.lr.ph24, label %._crit_edge

.lr.ph24:                                         ; preds = %.preheader
  %23 = getelementptr inbounds ptr, ptr %12, i64 %indvars.iv41
  br label %32

._crit_edge26:                                    ; preds = %._crit_edge, %.lr.ph33, %.preheader21
  %24 = phi i32 [ %.pre47.pre, %.preheader21 ], [ %.pre47.pre, %.lr.ph33 ], [ %29, %._crit_edge ]
  %.lcssa = phi i32 [ %9, %.preheader21 ], [ %9, %.lr.ph33 ], [ %28, %._crit_edge ]
  call void @spirallyTraverse(ptr noundef %12, i32 noundef %.lcssa, i32 noundef %24)
  %25 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.3, ptr noundef nonnull @.str.4)
  %26 = load i32, ptr %2, align 4, !tbaa !5
  %27 = icmp sgt i32 %26, 0
  br i1 %27, label %.lr.ph29, label %._crit_edge30

._crit_edge.loopexit:                             ; preds = %32
  %.pre = load i32, ptr %2, align 4, !tbaa !5
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit, %.preheader
  %28 = phi i32 [ %.pre, %._crit_edge.loopexit ], [ %20, %.preheader ]
  %29 = phi i32 [ %36, %._crit_edge.loopexit ], [ %21, %.preheader ]
  %indvars.iv.next42 = add nuw nsw i64 %indvars.iv41, 1
  %30 = sext i32 %28 to i64
  %31 = icmp slt i64 %indvars.iv.next42, %30
  br i1 %31, label %.preheader, label %._crit_edge26, !llvm.loop !13

32:                                               ; preds = %.lr.ph24, %32
  %indvars.iv38 = phi i64 [ 0, %.lr.ph24 ], [ %indvars.iv.next39, %32 ]
  %33 = load ptr, ptr %23, align 8, !tbaa !9
  %34 = getelementptr inbounds i32, ptr %33, i64 %indvars.iv38
  %35 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.2, ptr noundef %34)
  %indvars.iv.next39 = add nuw nsw i64 %indvars.iv38, 1
  %36 = load i32, ptr %3, align 4, !tbaa !5
  %37 = sext i32 %36 to i64
  %38 = icmp slt i64 %indvars.iv.next39, %37
  br i1 %38, label %32, label %._crit_edge.loopexit, !llvm.loop !15

._crit_edge30:                                    ; preds = %.lr.ph29, %._crit_edge26
  call void @free(ptr noundef %12) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #5
  %39 = load i32, ptr %1, align 4, !tbaa !5
  %40 = add nsw i32 %39, -1
  store i32 %40, ptr %1, align 4, !tbaa !5
  %.not = icmp eq i32 %39, 0
  br i1 %.not, label %._crit_edge34, label %.lr.ph33, !llvm.loop !16

.lr.ph29:                                         ; preds = %._crit_edge26, %.lr.ph29
  %indvars.iv44 = phi i64 [ %indvars.iv.next45, %.lr.ph29 ], [ 0, %._crit_edge26 ]
  %41 = getelementptr inbounds ptr, ptr %12, i64 %indvars.iv44
  %42 = load ptr, ptr %41, align 8, !tbaa !9
  call void @free(ptr noundef %42) #5
  %indvars.iv.next45 = add nuw nsw i64 %indvars.iv44, 1
  %43 = load i32, ptr %2, align 4, !tbaa !5
  %44 = sext i32 %43 to i64
  %45 = icmp slt i64 %indvars.iv.next45, %44
  br i1 %45, label %.lr.ph29, label %._crit_edge30, !llvm.loop !17

._crit_edge34:                                    ; preds = %._crit_edge30, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #5
  ret i32 0
}

; Function Attrs: nofree nounwind
declare noundef i32 @__isoc99_scanf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

; Function Attrs: mustprogress nofree nounwind willreturn allockind("alloc,uninitialized") allocsize(0) memory(inaccessiblemem: readwrite)
declare noalias noundef ptr @malloc(i64 noundef) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind willreturn allockind("free") memory(argmem: readwrite, inaccessiblemem: readwrite)
declare void @free(ptr allocptr nocapture noundef) local_unnamed_addr #4

attributes #0 = { 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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { mustprogress nofree nounwind willreturn allockind("alloc,uninitialized") allocsize(0) memory(inaccessiblemem: readwrite) "alloc-family"="malloc" "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 willreturn allockind("free") memory(argmem: readwrite, inaccessiblemem: readwrite) "alloc-family"="malloc" "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 }
attributes #6 = { nounwind allocsize(0) }

!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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12, !14}
!14 = !{!"llvm.loop.unswitch.partial.disable"}
!15 = distinct !{!15, !12}
!16 = distinct !{!16, !12}
!17 = distinct !{!17, !12}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopInstSimplifyPass,LoopRotatePass,LoopSimplifyCFGPass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimpleLoopUnswitchPass,SimplifyCFGPass