; LLVM IR from eyangch/competitive-programming :: Kattis (crypto)

; 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::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@N = external dso_local global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %6 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %7 = getelementptr i8, ptr %6, i64 -24
  %8 = load i64, ptr %7, align 8
  %9 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %8
  %10 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %9, ptr noundef null)
  %11 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %12 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @N)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store i64 0, ptr %2, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  store i64 0, ptr %3, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  store i64 2, ptr %4, align 8, !tbaa !8
  br label %13

13:                                               ; preds = %40, %0
  %14 = load i64, ptr %4, align 8, !tbaa !8
  %15 = load i64, ptr %4, align 8, !tbaa !8
  %16 = mul nsw i64 %14, %15
  %17 = load i64, ptr @N, align 8, !tbaa !8
  %18 = icmp sle i64 %16, %17
  br i1 %18, label %20, label %19

19:                                               ; preds = %13
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  br label %43

20:                                               ; preds = %13
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  store i64 0, ptr %5, align 8, !tbaa !8
  br label %21

21:                                               ; preds = %26, %20
  %22 = load i64, ptr @N, align 8, !tbaa !8
  %23 = load i64, ptr %4, align 8, !tbaa !8
  %24 = srem i64 %22, %23
  %25 = icmp eq i64 %24, 0
  br i1 %25, label %26, label %32

26:                                               ; preds = %21
  %27 = load i64, ptr %4, align 8, !tbaa !8
  %28 = load i64, ptr @N, align 8, !tbaa !8
  %29 = sdiv i64 %28, %27
  store i64 %29, ptr @N, align 8, !tbaa !8
  %30 = load i64, ptr %5, align 8, !tbaa !8
  %31 = add nsw i64 %30, 1
  store i64 %31, ptr %5, align 8, !tbaa !8
  br label %21, !llvm.loop !11

32:                                               ; preds = %21
  %33 = load i64, ptr %5, align 8, !tbaa !8
  %34 = load i64, ptr %2, align 8, !tbaa !8
  %35 = icmp sgt i64 %33, %34
  br i1 %35, label %36, label %39

36:                                               ; preds = %32
  %37 = load i64, ptr %5, align 8, !tbaa !8
  store i64 %37, ptr %2, align 8, !tbaa !8
  %38 = load i64, ptr %4, align 8, !tbaa !8
  store i64 %38, ptr %3, align 8, !tbaa !8
  br label %39

39:                                               ; preds = %36, %32
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  br label %40

40:                                               ; preds = %39
  %41 = load i64, ptr %4, align 8, !tbaa !8
  %42 = add nsw i64 %41, 1
  store i64 %42, ptr %4, align 8, !tbaa !8
  br label %13, !llvm.loop !13

43:                                               ; preds = %19
  %44 = load i64, ptr @N, align 8, !tbaa !8
  %45 = icmp sgt i64 %44, 1
  br i1 %45, label %46, label %51

46:                                               ; preds = %43
  %47 = load i64, ptr %2, align 8, !tbaa !8
  %48 = icmp eq i64 %47, 0
  br i1 %48, label %49, label %51

49:                                               ; preds = %46
  %50 = load i64, ptr @N, align 8, !tbaa !8
  store i64 %50, ptr %3, align 8, !tbaa !8
  br label %51

51:                                               ; preds = %49, %46, %43
  %52 = load i64, ptr %3, align 8, !tbaa !8
  %53 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %52)
  %54 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %53, ptr noundef @.str)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  %55 = load i32, ptr %1, align 4
  ret i32 %55
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #1 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #3 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #4

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #3 align 2

attributes #0 = { 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 #1 = { 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 #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 = { 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 #4 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #5 = { inlinehint 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 #6 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@N = external dso_local global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %2 = getelementptr i8, ptr %1, i64 -24
  %3 = load i64, ptr %2, align 8
  %4 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %3
  %5 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %4, ptr noundef null)
  %6 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %7 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @N)
  %N.promoted23 = load i64, ptr @N, align 8, !tbaa !8
  %.not26 = icmp slt i64 %N.promoted23, 4
  br i1 %.not26, label %._crit_edge31, label %.preheader

.preheader:                                       ; preds = %0, %19
  %.01430 = phi i64 [ %21, %19 ], [ 2, %0 ]
  %.01529 = phi i64 [ %spec.select20, %19 ], [ 0, %0 ]
  %.01628 = phi i64 [ %spec.select19, %19 ], [ 0, %0 ]
  %.lcssa222527 = phi i64 [ %.lcssa2224, %19 ], [ %N.promoted23, %0 ]
  %8 = srem i64 %.lcssa222527, %.01430
  %9 = icmp eq i64 %8, 0
  br i1 %9, label %.lr.ph, label %19

._crit_edge31.loopexit:                           ; preds = %19
  %10 = icmp eq i64 %spec.select19, 0
  br label %._crit_edge31

._crit_edge31:                                    ; preds = %._crit_edge31.loopexit, %0
  %.016.lcssa = phi i1 [ true, %0 ], [ %10, %._crit_edge31.loopexit ]
  %.015.lcssa = phi i64 [ 0, %0 ], [ %spec.select20, %._crit_edge31.loopexit ]
  %.lcssa = phi i64 [ %N.promoted23, %0 ], [ %.lcssa2224, %._crit_edge31.loopexit ]
  %11 = icmp sgt i64 %.lcssa, 1
  %or.cond = select i1 %11, i1 %.016.lcssa, i1 false
  %spec.select = select i1 %or.cond, i64 %.lcssa, i64 %.015.lcssa
  %12 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %spec.select)
  %13 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %12, ptr noundef nonnull @.str)
  ret i32 0

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  %.021 = phi i64 [ %16, %.lr.ph ], [ 0, %.preheader ]
  %14 = phi i64 [ %15, %.lr.ph ], [ %.lcssa222527, %.preheader ]
  %15 = sdiv i64 %14, %.01430
  %16 = add nuw nsw i64 %.021, 1
  %17 = srem i64 %15, %.01430
  %18 = icmp eq i64 %17, 0
  br i1 %18, label %.lr.ph, label %._crit_edge, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph
  store i64 %15, ptr @N, align 8, !tbaa !8
  br label %19

19:                                               ; preds = %._crit_edge, %.preheader
  %.lcssa2224 = phi i64 [ %15, %._crit_edge ], [ %.lcssa222527, %.preheader ]
  %.0.lcssa = phi i64 [ %16, %._crit_edge ], [ 0, %.preheader ]
  %20 = icmp sgt i64 %.0.lcssa, %.01628
  %spec.select19 = tail call i64 @llvm.smax.i64(i64 %.0.lcssa, i64 %.01628)
  %spec.select20 = select i1 %20, i64 %.01430, i64 %.01529
  %21 = add nuw nsw i64 %.01430, 1
  %22 = mul nuw nsw i64 %21, %21
  %.not = icmp sgt i64 %22, %.lcssa2224
  br i1 %.not, label %._crit_edge31.loopexit, label %.preheader, !llvm.loop !13
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #1 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #3 align 2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i64 @llvm.smax.i64(i64, i64) #5

attributes #0 = { 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 #1 = { 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 #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 = { 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 #4 = { inlinehint 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 #5 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }

!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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass