; LLVM IR from lzyrapx/Competitive-Programming :: Retired_code/Number-theory (BZOJ 2242（BSGS）)

; 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" }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z6qpowerxxx(i64 noundef, i64 noundef, i64 noundef) #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 uwtable
declare dso_local void @_Z5solvexxx(i64 noundef, i64 noundef, i64 noundef) #2

; 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) #3

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

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z4BSGSxxx(i64 noundef, i64 noundef, i64 noundef) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main(i32 noundef %0, ptr noundef %1) #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 i64, align 8
  %9 = alloca i64, align 8
  %10 = alloca i64, align 8
  store i32 0, ptr %3, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #6
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #6
  %11 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %6)
  %12 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %11, ptr noundef nonnull align 4 dereferenceable(4) %7)
  br label %13

13:                                               ; preds = %51, %2
  %14 = load i32, ptr %6, align 4, !tbaa !5
  %15 = add nsw i32 %14, -1
  store i32 %15, ptr %6, align 4, !tbaa !5
  %16 = icmp ne i32 %14, 0
  br i1 %16, label %17, label %52

17:                                               ; preds = %13
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #6
  %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) %8)
  %19 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %18, ptr noundef nonnull align 8 dereferenceable(8) %9)
  %20 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %19, ptr noundef nonnull align 8 dereferenceable(8) %10)
  %21 = load i64, ptr %10, align 8, !tbaa !11
  %22 = load i64, ptr %8, align 8, !tbaa !11
  %23 = srem i64 %22, %21
  store i64 %23, ptr %8, align 8, !tbaa !11
  %24 = load i32, ptr %7, align 4, !tbaa !5
  %25 = icmp eq i32 %24, 1
  br i1 %25, label %26, label %33

26:                                               ; preds = %17
  %27 = load i64, ptr %8, align 8, !tbaa !11
  %28 = load i64, ptr %9, align 8, !tbaa !11
  %29 = load i64, ptr %10, align 8, !tbaa !11
  %30 = call noundef i64 @_Z6qpowerxxx(i64 noundef %27, i64 noundef %28, i64 noundef %29)
  %31 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %30)
  %32 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %31, i8 noundef signext 10)
  br label %51

33:                                               ; preds = %17
  %34 = load i32, ptr %7, align 4, !tbaa !5
  %35 = icmp eq i32 %34, 2
  br i1 %35, label %36, label %43

36:                                               ; preds = %33
  %37 = load i64, ptr %10, align 8, !tbaa !11
  %38 = load i64, ptr %9, align 8, !tbaa !11
  %39 = srem i64 %38, %37
  store i64 %39, ptr %9, align 8, !tbaa !11
  %40 = load i64, ptr %8, align 8, !tbaa !11
  %41 = load i64, ptr %9, align 8, !tbaa !11
  %42 = load i64, ptr %10, align 8, !tbaa !11
  call void @_Z5solvexxx(i64 noundef %40, i64 noundef %41, i64 noundef %42)
  br label %50

43:                                               ; preds = %33
  %44 = load i64, ptr %10, align 8, !tbaa !11
  %45 = load i64, ptr %9, align 8, !tbaa !11
  %46 = srem i64 %45, %44
  store i64 %46, ptr %9, align 8, !tbaa !11
  %47 = load i64, ptr %8, align 8, !tbaa !11
  %48 = load i64, ptr %9, align 8, !tbaa !11
  %49 = load i64, ptr %10, align 8, !tbaa !11
  call void @_Z4BSGSxxx(i64 noundef %47, i64 noundef %48, i64 noundef %49)
  br label %50

50:                                               ; preds = %43, %36
  br label %51

51:                                               ; preds = %50, %26
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #6
  br label %13, !llvm.loop !13

52:                                               ; preds = %13
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #6
  ret i32 0
}

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #5

; 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)) #2 align 2

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 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 = { 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 #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 = { "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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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"

%"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" }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z6qpowerxxx(i64 noundef, i64 noundef, i64 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: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5solvexxx(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #2

; 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 #3

; 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 #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z4BSGSxxx(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main(i32 noundef %0, ptr nocapture noundef readnone %1) local_unnamed_addr #4 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #6
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #6
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 4 dereferenceable(4) %4)
  %10 = load i32, ptr %3, align 4, !tbaa !5
  %11 = add nsw i32 %10, -1
  store i32 %11, ptr %3, align 4, !tbaa !5
  %.not1 = icmp eq i32 %10, 0
  br i1 %.not1, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %2, %28
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %5) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %6) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %7) #6
  %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) %5)
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %12, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %13, ptr noundef nonnull align 8 dereferenceable(8) %7)
  %15 = load i64, ptr %7, align 8, !tbaa !9
  %16 = load i64, ptr %5, align 8, !tbaa !9
  %17 = srem i64 %16, %15
  store i64 %17, ptr %5, align 8, !tbaa !9
  %18 = load i32, ptr %4, align 4, !tbaa !5
  %19 = load i64, ptr %6, align 8, !tbaa !9
  switch i32 %18, label %26 [
    i32 1, label %20
    i32 2, label %24
  ]

20:                                               ; preds = %.lr.ph
  %21 = call noundef i64 @_Z6qpowerxxx(i64 noundef %17, i64 noundef %19, i64 noundef %15)
  %22 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %21)
  %23 = 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)
  br label %28

24:                                               ; preds = %.lr.ph
  %25 = srem i64 %19, %15
  store i64 %25, ptr %6, align 8, !tbaa !9
  call void @_Z5solvexxx(i64 noundef %17, i64 noundef %25, i64 noundef %15)
  br label %28

26:                                               ; preds = %.lr.ph
  %27 = srem i64 %19, %15
  store i64 %27, ptr %6, align 8, !tbaa !9
  call void @_Z4BSGSxxx(i64 noundef %17, i64 noundef %27, i64 noundef %15)
  br label %28

28:                                               ; preds = %24, %26, %20
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %7) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %6) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #6
  %29 = load i32, ptr %3, align 4, !tbaa !5
  %30 = add nsw i32 %29, -1
  store i32 %30, ptr %3, align 4, !tbaa !5
  %.not = icmp eq i32 %29, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !11

._crit_edge:                                      ; preds = %28, %2
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #6
  ret i32 0
}

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #5

; 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 #2 align 2

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 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 = { 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 #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 = { "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 = !{!"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 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


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