; LLVM IR from lzyrapx/Competitive-Programming :: LibreOJ (6229（杜教筛+Moebius）)

; 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" }

@inv2 = external dso_local global i32, align 4
@inv6 = external dso_local global i32, align 4
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt4cerr = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [15 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [5 x i8], align 1

; 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 nounwind uwtable
declare dso_local void @_Z4initi(i32 noundef) #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z1Sx(i64 noundef) #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main(i32 noundef %0, ptr noundef %1) #3 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca ptr, align 8
  %6 = alloca i64, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  %9 = alloca i64, align 8
  %10 = alloca i64, align 8
  %11 = alloca i32, align 4
  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 8, ptr %6) #7
  %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) %6)
  call void @_Z4initi(i32 noundef 1000000)
  %13 = call noundef i64 @_Z6qpowerxxx(i64 noundef 2, i64 noundef 1000000005, i64 noundef 1000000007)
  %14 = trunc i64 %13 to i32
  store i32 %14, ptr @inv2, align 4, !tbaa !5
  %15 = call noundef i64 @_Z6qpowerxxx(i64 noundef 6, i64 noundef 1000000005, i64 noundef 1000000007)
  %16 = trunc i64 %15 to i32
  store i32 %16, ptr @inv6, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #7
  store i32 0, ptr %7, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #7
  store i32 0, ptr %8, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #7
  store i64 1, ptr %9, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #7
  br label %17

17:                                               ; preds = %45, %2
  %18 = load i64, ptr %9, align 8, !tbaa !11
  %19 = load i64, ptr %6, align 8, !tbaa !11
  %20 = icmp sle i64 %18, %19
  br i1 %20, label %22, label %21

21:                                               ; preds = %17
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #7
  br label %48

22:                                               ; preds = %17
  %23 = load i64, ptr %6, align 8, !tbaa !11
  %24 = load i64, ptr %6, align 8, !tbaa !11
  %25 = load i64, ptr %9, align 8, !tbaa !11
  %26 = sdiv i64 %24, %25
  %27 = sdiv i64 %23, %26
  store i64 %27, ptr %10, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %11) #7
  %28 = load i64, ptr %10, align 8, !tbaa !11
  %29 = call noundef i32 @_Z1Sx(i64 noundef %28)
  store i32 %29, ptr %11, align 4, !tbaa !5
  %30 = load i32, ptr %7, align 4, !tbaa !5
  %31 = sext i32 %30 to i64
  %32 = load i32, ptr %11, align 4, !tbaa !5
  %33 = load i32, ptr %8, align 4, !tbaa !5
  %34 = sub nsw i32 %32, %33
  %35 = sext i32 %34 to i64
  %36 = mul nsw i64 1, %35
  %37 = load i64, ptr %6, align 8, !tbaa !11
  %38 = load i64, ptr %9, align 8, !tbaa !11
  %39 = sdiv i64 %37, %38
  %40 = mul nsw i64 %36, %39
  %41 = add nsw i64 %31, %40
  %42 = srem i64 %41, 1000000007
  %43 = trunc i64 %42 to i32
  store i32 %43, ptr %7, align 4, !tbaa !5
  %44 = load i32, ptr %11, align 4, !tbaa !5
  store i32 %44, ptr %8, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr %11) #7
  br label %45

45:                                               ; preds = %22
  %46 = load i64, ptr %10, align 8, !tbaa !11
  %47 = add nsw i64 %46, 1
  store i64 %47, ptr %9, align 8, !tbaa !11
  br label %17, !llvm.loop !13

48:                                               ; preds = %21
  %49 = load i32, ptr %7, align 4, !tbaa !5
  %50 = sext i32 %49 to i64
  %51 = load i64, ptr %6, align 8, !tbaa !11
  %52 = add nsw i64 %50, %51
  %53 = srem i64 %52, 1000000007
  %54 = load i32, ptr @inv2, align 4, !tbaa !5
  %55 = sext i32 %54 to i64
  %56 = mul nsw i64 %53, %55
  %57 = srem i64 %56, 1000000007
  %58 = trunc i64 %57 to i32
  store i32 %58, ptr %7, align 4, !tbaa !5
  %59 = load i32, ptr %7, align 4, !tbaa !5
  %60 = add nsw i32 %59, 1000000007
  %61 = srem i32 %60, 1000000007
  %62 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %61)
  %63 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %62, i8 noundef signext 10)
  %64 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cerr, ptr noundef @.str)
  %65 = call i64 @clock() #7
  %66 = sitofp i64 %65 to double
  %67 = fmul double 1.000000e+00, %66
  %68 = fdiv double %67, 1.000000e+06
  %69 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %64, double noundef %68)
  %70 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %69, ptr noundef @.str.2)
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #7
  ret i32 0
}

; 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

; 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) #4

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #5

; 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) #4

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

; Function Attrs: nounwind
declare i64 @clock() #6

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 = { 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 = { 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 = { "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 "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 #7 = { 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_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" }

@inv2 = external dso_local local_unnamed_addr global i32, align 4
@inv6 = external dso_local local_unnamed_addr global i32, align 4
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@_ZSt4cerr = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [15 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [5 x i8], align 1

; 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 nounwind uwtable
declare dso_local void @_Z4initi(i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z1Sx(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 #3 {
  %3 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #7
  %4 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %3)
  call void @_Z4initi(i32 noundef 1000000)
  %5 = call noundef i64 @_Z6qpowerxxx(i64 noundef 2, i64 noundef 1000000005, i64 noundef 1000000007)
  %6 = trunc i64 %5 to i32
  store i32 %6, ptr @inv2, align 4, !tbaa !5
  %7 = call noundef i64 @_Z6qpowerxxx(i64 noundef 6, i64 noundef 1000000005, i64 noundef 1000000007)
  %8 = trunc i64 %7 to i32
  store i32 %8, ptr @inv6, align 4, !tbaa !5
  %9 = load i64, ptr %3, align 8, !tbaa !9
  %.not15 = icmp slt i64 %9, 1
  br i1 %.not15, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %2
  %.0.lcssa = phi i64 [ 0, %2 ], [ %37, %.lr.ph ]
  %.lcssa = phi i64 [ %9, %2 ], [ %33, %.lr.ph ]
  %10 = add nsw i64 %.lcssa, %.0.lcssa
  %11 = srem i64 %10, 1000000007
  %12 = load i32, ptr @inv2, align 4, !tbaa !5
  %13 = sext i32 %12 to i64
  %14 = mul nsw i64 %11, %13
  %.fr = freeze i64 %14
  %15 = srem i64 %.fr, 1000000007
  %16 = trunc nsw i64 %15 to i32
  %17 = add nsw i32 %16, 1000000007
  %.cmp = icmp ugt i64 %15, -1000000008
  %18 = select i1 %.cmp, i32 %17, i32 %16
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %18)
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %19, i8 noundef signext 10)
  %21 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cerr, ptr noundef nonnull @.str)
  %22 = call i64 @clock() #7
  %23 = sitofp i64 %22 to double
  %24 = fdiv double %23, 1.000000e+06
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %21, double noundef %24)
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %25, ptr noundef nonnull @.str.2)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #7
  ret i32 0

.lr.ph:                                           ; preds = %2, %.lr.ph
  %27 = phi i64 [ %33, %.lr.ph ], [ %9, %2 ]
  %.018 = phi i64 [ %37, %.lr.ph ], [ 0, %2 ]
  %.01117 = phi i32 [ %30, %.lr.ph ], [ 0, %2 ]
  %.01216 = phi i64 [ %38, %.lr.ph ], [ 1, %2 ]
  %28 = udiv i64 %27, %.01216
  %29 = sdiv i64 %27, %28
  %30 = call noundef i32 @_Z1Sx(i64 noundef %29)
  %31 = sub nsw i32 %30, %.01117
  %32 = sext i32 %31 to i64
  %33 = load i64, ptr %3, align 8, !tbaa !9
  %34 = sdiv i64 %33, %.01216
  %35 = mul nsw i64 %34, %32
  %36 = add nsw i64 %35, %.018
  %37 = srem i64 %36, 1000000007
  %38 = add nuw nsw i64 %29, 1
  %.not.not = icmp slt i64 %29, %33
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !11
}

; 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

; 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 #4

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #5

; 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 @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) local_unnamed_addr #2 align 2

; Function Attrs: nounwind
declare i64 @clock() local_unnamed_addr #6

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 = { 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 = { 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 = { "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 "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 #7 = { 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: CorrelatedValuePropagationPass,EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass