; LLVM IR from Shah-Shishir/Codeforces-Solutions :: 472A. Design Tutorial Learn from Math (main)

; 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"

@prime = external dso_local global [1000001 x i8], align 16
@.str = external hidden unnamed_addr constant [3 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [7 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z5sievev() #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
  store i32 0, ptr %1, align 4
  call void @_Z5sievev()
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #4
  br label %4

4:                                                ; preds = %37, %0
  %5 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %2)
  %6 = icmp ne i32 %5, -1
  br i1 %6, label %7, label %38

7:                                                ; preds = %4
  store i32 2, ptr %3, align 4, !tbaa !5
  br label %8

8:                                                ; preds = %34, %7
  %9 = load i32, ptr %3, align 4, !tbaa !5
  %10 = load i32, ptr %2, align 4, !tbaa !5
  %11 = sdiv i32 %10, 2
  %12 = icmp sle i32 %9, %11
  br i1 %12, label %13, label %37

13:                                               ; preds = %8
  %14 = load i32, ptr %3, align 4, !tbaa !5
  %15 = sext i32 %14 to i64
  %16 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %15
  %17 = load i8, ptr %16, align 1, !tbaa !9, !range !11, !noundef !12
  %18 = trunc i8 %17 to i1
  br i1 %18, label %19, label %33

19:                                               ; preds = %13
  %20 = load i32, ptr %2, align 4, !tbaa !5
  %21 = load i32, ptr %3, align 4, !tbaa !5
  %22 = sub nsw i32 %20, %21
  %23 = sext i32 %22 to i64
  %24 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %23
  %25 = load i8, ptr %24, align 1, !tbaa !9, !range !11, !noundef !12
  %26 = trunc i8 %25 to i1
  br i1 %26, label %27, label %33

27:                                               ; preds = %19
  %28 = load i32, ptr %3, align 4, !tbaa !5
  %29 = load i32, ptr %2, align 4, !tbaa !5
  %30 = load i32, ptr %3, align 4, !tbaa !5
  %31 = sub nsw i32 %29, %30
  %32 = call i32 (ptr, ...) @printf(ptr noundef @.str.1, i32 noundef %28, i32 noundef %31)
  br label %37

33:                                               ; preds = %19, %13
  br label %34

34:                                               ; preds = %33
  %35 = load i32, ptr %3, align 4, !tbaa !5
  %36 = add nsw i32 %35, 1
  store i32 %36, ptr %3, align 4, !tbaa !5
  br label %8, !llvm.loop !13

37:                                               ; preds = %27, %8
  br label %4, !llvm.loop !15

38:                                               ; preds = %4
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #4
  ret i32 0
}

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

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

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 = { 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 = !{!10, !10, i64 0}
!10 = !{!"bool", !7, i64 0}
!11 = !{i8 0, i8 2}
!12 = !{}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; 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"

@prime = external dso_local local_unnamed_addr global [1000001 x i8], align 16
@.str = external hidden unnamed_addr constant [3 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [7 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z5sievev() 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 nounwind uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = alloca i32, align 4
  tail call void @_Z5sievev()
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #4
  %2 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %1)
  %.not10 = icmp eq i32 %2, -1
  br i1 %.not10, label %._crit_edge, label %.preheader

.preheader:                                       ; preds = %0, %.loopexit
  %3 = load i32, ptr %1, align 4, !tbaa !5
  %.not68 = icmp slt i32 %3, 4
  br i1 %.not68, label %.loopexit, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %.preheader
  %4 = lshr i32 %3, 1
  %5 = zext nneg i32 %3 to i64
  %6 = add nuw nsw i32 %4, 1
  %wide.trip.count = zext nneg i32 %6 to i64
  br label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph.preheader, %19
  %indvars.iv = phi i64 [ 2, %.lr.ph.preheader ], [ %indvars.iv.next, %19 ]
  %7 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %indvars.iv
  %8 = load i8, ptr %7, align 1, !tbaa !9, !range !11, !noundef !12
  %9 = trunc nuw i8 %8 to i1
  br i1 %9, label %10, label %19

10:                                               ; preds = %.lr.ph
  %11 = sub nsw i64 %5, %indvars.iv
  %12 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %11
  %13 = load i8, ptr %12, align 1, !tbaa !9, !range !11, !noundef !12
  %14 = trunc nuw i8 %13 to i1
  br i1 %14, label %15, label %19

15:                                               ; preds = %10
  %16 = trunc nuw nsw i64 %indvars.iv to i32
  %17 = trunc nsw i64 %11 to i32
  %18 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1, i32 noundef %16, i32 noundef %17)
  br label %.loopexit

19:                                               ; preds = %.lr.ph, %10
  %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 %.loopexit, label %.lr.ph, !llvm.loop !13

.loopexit:                                        ; preds = %19, %.preheader, %15
  %20 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %1)
  %.not = icmp eq i32 %20, -1
  br i1 %.not, label %._crit_edge, label %.preheader, !llvm.loop !15

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

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

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

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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress norecurse 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 = { 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 = !{!10, !10, i64 0}
!10 = !{!"bool", !7, i64 0}
!11 = !{i8 0, i8 2}
!12 = !{}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; Effective O3 passes: CorrelatedValuePropagationPass,EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SCCPPass,SROAPass,SimplifyCFGPass,TailCallElimPass