; LLVM IR from eyangch/competitive-programming :: Codeforces/1698 (d)

; 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_ostream" = type { ptr, %"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_istream" = type { ptr, i64, %"class.std::basic_ios" }

@T = external dso_local global i64, align 8
@N = external dso_local global i64, align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3qryxx(i64 noundef, i64 noundef) #0

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #1

; 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) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #0 align 2

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSo5flushEv(ptr noundef nonnull align 8 dereferenceable(8)) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; 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)) #0 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #4 {
  %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) @T)
  br label %13

13:                                               ; preds = %41, %0
  %14 = load i64, ptr @T, align 8, !tbaa !8
  %15 = add nsw i64 %14, -1
  store i64 %15, ptr @T, align 8, !tbaa !8
  %16 = icmp ne i64 %14, 0
  br i1 %16, label %17, label %50

17:                                               ; preds = %13
  %18 = 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 1, ptr %2, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  %19 = load i64, ptr @N, align 8, !tbaa !8
  store i64 %19, ptr %3, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  store i64 0, ptr %4, align 8, !tbaa !8
  br label %20

20:                                               ; preds = %40, %17
  %21 = load i64, ptr %2, align 8, !tbaa !8
  %22 = load i64, ptr %3, align 8, !tbaa !8
  %23 = icmp slt i64 %21, %22
  br i1 %23, label %24, label %41

24:                                               ; preds = %20
  %25 = load i64, ptr %2, align 8, !tbaa !8
  %26 = load i64, ptr %3, align 8, !tbaa !8
  %27 = add nsw i64 %25, %26
  %28 = sdiv i64 %27, 2
  store i64 %28, ptr %4, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  %29 = load i64, ptr %2, align 8, !tbaa !8
  %30 = load i64, ptr %4, align 8, !tbaa !8
  %31 = call noundef i64 @_Z3qryxx(i64 noundef %29, i64 noundef %30)
  store i64 %31, ptr %5, align 8, !tbaa !8
  %32 = load i64, ptr %5, align 8, !tbaa !8
  %33 = and i64 %32, 1
  %34 = icmp ne i64 %33, 0
  br i1 %34, label %35, label %37

35:                                               ; preds = %24
  %36 = load i64, ptr %4, align 8, !tbaa !8
  store i64 %36, ptr %3, align 8, !tbaa !8
  br label %40

37:                                               ; preds = %24
  %38 = load i64, ptr %4, align 8, !tbaa !8
  %39 = add nsw i64 %38, 1
  store i64 %39, ptr %2, align 8, !tbaa !8
  br label %40

40:                                               ; preds = %37, %35
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  br label %20, !llvm.loop !11

41:                                               ; preds = %20
  %42 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  %43 = load i64, ptr %2, align 8, !tbaa !8
  %44 = load i64, ptr %3, align 8, !tbaa !8
  %45 = add nsw i64 %43, %44
  %46 = sdiv i64 %45, 2
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) %42, i64 noundef %46)
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %47, i8 noundef signext 10)
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSo5flushEv(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout)
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  br label %13, !llvm.loop !13

50:                                               ; preds = %13
  %51 = load i32, ptr %1, align 4
  ret i32 %51
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #5 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #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 = { 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 #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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { 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 #5 = { 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 #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_ostream" = type { ptr, %"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_istream" = type { ptr, i64, %"class.std::basic_ios" }

@T = external dso_local global i64, align 8
@N = external dso_local global i64, align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3qryxx(i64 noundef, i64 noundef) local_unnamed_addr #0

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #1

; 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 #1

; 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 #0 align 2

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSo5flushEv(ptr noundef nonnull align 8 dereferenceable(8)) 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 #0 align 2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %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) @T)
  %8 = load i64, ptr @T, align 8, !tbaa !8
  %9 = add nsw i64 %8, -1
  store i64 %9, ptr @T, align 8, !tbaa !8
  %.not18 = icmp eq i64 %8, 0
  br i1 %.not18, label %._crit_edge21, label %.lr.ph20

.lr.ph20:                                         ; preds = %0, %._crit_edge
  %10 = 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)
  %11 = load i64, ptr @N, align 8, !tbaa !8
  %12 = icmp sgt i64 %11, 1
  br i1 %12, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %.lr.ph20, %.lr.ph
  %.016 = phi i64 [ %.1, %.lr.ph ], [ 1, %.lr.ph20 ]
  %.01215 = phi i64 [ %.113, %.lr.ph ], [ %11, %.lr.ph20 ]
  %13 = add nuw nsw i64 %.016, %.01215
  %14 = lshr i64 %13, 1
  %15 = tail call noundef i64 @_Z3qryxx(i64 noundef %.016, i64 noundef %14)
  %16 = and i64 %15, 1
  %.not14 = icmp eq i64 %16, 0
  %17 = add nuw nsw i64 %14, 1
  %.113 = select i1 %.not14, i64 %.01215, i64 %14
  %.1 = select i1 %.not14, i64 %17, i64 %.016
  %18 = icmp slt i64 %.1, %.113
  br i1 %18, label %.lr.ph, label %._crit_edge, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph, %.lr.ph20
  %.012.lcssa = phi i64 [ %11, %.lr.ph20 ], [ %.113, %.lr.ph ]
  %.0.lcssa = phi i64 [ 1, %.lr.ph20 ], [ %.1, %.lr.ph ]
  %19 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str.1)
  %20 = add nsw i64 %.0.lcssa, %.012.lcssa
  %21 = sdiv i64 %20, 2
  %22 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) %19, i64 noundef %21)
  %23 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %22, i8 noundef signext 10)
  %24 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSo5flushEv(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout)
  %25 = load i64, ptr @T, align 8, !tbaa !8
  %26 = add nsw i64 %25, -1
  store i64 %26, ptr @T, align 8, !tbaa !8
  %.not = icmp eq i64 %25, 0
  br i1 %.not, label %._crit_edge21, label %.lr.ph20, !llvm.loop !13

._crit_edge21:                                    ; preds = %._crit_edge, %0
  ret i32 0
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #4 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #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 = { 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 #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 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 #4 = { 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" }

!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: GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass