; LLVM IR from Shah-Shishir/Codeforces-Solutions :: 230B. T-primes (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 [5 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 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 i64, align 8
  %4 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  call void @_Z5sievev()
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #5
  %5 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef %2)
  br label %6

6:                                                ; preds = %29, %0
  %7 = load i32, ptr %2, align 4, !tbaa !5
  %8 = add nsw i32 %7, -1
  store i32 %8, ptr %2, align 4, !tbaa !5
  %9 = icmp ne i32 %7, 0
  br i1 %9, label %10, label %30

10:                                               ; preds = %6
  %11 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str.1, ptr noundef %3)
  %12 = load i64, ptr %3, align 8, !tbaa !9
  %13 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %12)
  %14 = fptosi double %13 to i64
  store i64 %14, ptr %4, align 8, !tbaa !9
  %15 = load i64, ptr %4, align 8, !tbaa !9
  %16 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %15
  %17 = load i8, ptr %16, align 1, !tbaa !11, !range !13, !noundef !14
  %18 = trunc i8 %17 to i1
  br i1 %18, label %27, label %19

19:                                               ; preds = %10
  %20 = load i64, ptr %4, align 8, !tbaa !9
  %21 = load i64, ptr %4, align 8, !tbaa !9
  %22 = mul nsw i64 %20, %21
  %23 = load i64, ptr %3, align 8, !tbaa !9
  %24 = icmp eq i64 %22, %23
  br i1 %24, label %25, label %27

25:                                               ; preds = %19
  %26 = call i32 (ptr, ...) @printf(ptr noundef @.str.2)
  br label %29

27:                                               ; preds = %19, %10
  %28 = call i32 (ptr, ...) @printf(ptr noundef @.str.3)
  br label %29

29:                                               ; preds = %27, %25
  br label %6, !llvm.loop !15

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

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

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef) #4

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 = { inlinehint 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 #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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"bool", !7, i64 0}
!13 = !{i8 0, i8 2}
!14 = !{}
!15 = distinct !{!15, !16}
!16 = !{!"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"

@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 [5 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 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
  %2 = alloca i64, align 8
  tail call void @_Z5sievev()
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #5
  %3 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull %1)
  %4 = load i32, ptr %1, align 4, !tbaa !5
  %5 = add nsw i32 %4, -1
  store i32 %5, ptr %1, align 4, !tbaa !5
  %.not3 = icmp eq i32 %4, 0
  br i1 %.not3, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %18
  %6 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str.1, ptr noundef nonnull %2)
  %7 = load i64, ptr %2, align 8, !tbaa !9
  %8 = call noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef %7)
  %9 = fptosi double %8 to i64
  %10 = getelementptr inbounds [1000001 x i8], ptr @prime, i64 0, i64 %9
  %11 = load i8, ptr %10, align 1, !tbaa !11, !range !13, !noundef !14
  %12 = trunc nuw i8 %11 to i1
  br i1 %12, label %17, label %13

13:                                               ; preds = %.lr.ph
  %14 = mul nsw i64 %9, %9
  %15 = load i64, ptr %2, align 8, !tbaa !9
  %16 = icmp eq i64 %14, %15
  br i1 %16, label %18, label %17

17:                                               ; preds = %13, %.lr.ph
  br label %18

18:                                               ; preds = %13, %17
  %.str.3.sink = phi ptr [ @.str.3, %17 ], [ @.str.2, %13 ]
  %19 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) %.str.3.sink)
  %20 = load i32, ptr %1, align 4, !tbaa !5
  %21 = add nsw i32 %20, -1
  store i32 %21, ptr %1, align 4, !tbaa !5
  %.not = icmp eq i32 %20, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !15

._crit_edge:                                      ; preds = %18, %0
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #5
  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 #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt4sqrtIxEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i64 noundef) local_unnamed_addr #4

; 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 = { inlinehint 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 #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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"bool", !7, i64 0}
!13 = !{i8 0, i8 2}
!14 = !{}
!15 = distinct !{!15, !16}
!16 = !{!"llvm.loop.mustprogress"}


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