; LLVM IR from lzyrapx/Competitive-Programming :: Retired_code/Polynomial (洛谷 P4245（任意模数NTT） )

; 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" }

@F = external dso_local global [500100 x i32], align 16
@G = external dso_local global [500100 x i32], align 16
@n = external dso_local global i32, align 4
@m = external dso_local global i32, align 4
@p = external dso_local global i32, align 4
@ans = external dso_local global [500100 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @n)
  %6 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %5, ptr noundef nonnull align 4 dereferenceable(4) @m)
  %7 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %6, ptr noundef nonnull align 4 dereferenceable(4) @p)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  store i32 0, ptr %2, align 4, !tbaa !5
  br label %8

8:                                                ; preds = %18, %0
  %9 = load i32, ptr %2, align 4, !tbaa !5
  %10 = load i32, ptr @n, align 4, !tbaa !5
  %11 = icmp sle i32 %9, %10
  br i1 %11, label %13, label %12

12:                                               ; preds = %8
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  br label %21

13:                                               ; preds = %8
  %14 = load i32, ptr %2, align 4, !tbaa !5
  %15 = sext i32 %14 to i64
  %16 = getelementptr inbounds [500100 x i32], ptr @F, i64 0, i64 %15
  %17 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %16)
  br label %18

18:                                               ; preds = %13
  %19 = load i32, ptr %2, align 4, !tbaa !5
  %20 = add nsw i32 %19, 1
  store i32 %20, ptr %2, align 4, !tbaa !5
  br label %8, !llvm.loop !9

21:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  store i32 0, ptr %3, align 4, !tbaa !5
  br label %22

22:                                               ; preds = %32, %21
  %23 = load i32, ptr %3, align 4, !tbaa !5
  %24 = load i32, ptr @m, align 4, !tbaa !5
  %25 = icmp sle i32 %23, %24
  br i1 %25, label %27, label %26

26:                                               ; preds = %22
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  br label %35

27:                                               ; preds = %22
  %28 = load i32, ptr %3, align 4, !tbaa !5
  %29 = sext i32 %28 to i64
  %30 = getelementptr inbounds [500100 x i32], ptr @G, i64 0, i64 %29
  %31 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %30)
  br label %32

32:                                               ; preds = %27
  %33 = load i32, ptr %3, align 4, !tbaa !5
  %34 = add nsw i32 %33, 1
  store i32 %34, ptr %3, align 4, !tbaa !5
  br label %22, !llvm.loop !11

35:                                               ; preds = %26
  call void @_Z3MTTv()
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #5
  store i32 0, ptr %4, align 4, !tbaa !5
  br label %36

36:                                               ; preds = %48, %35
  %37 = load i32, ptr %4, align 4, !tbaa !5
  %38 = load i32, ptr @n, align 4, !tbaa !5
  %39 = icmp sle i32 %37, %38
  br i1 %39, label %41, label %40

40:                                               ; preds = %36
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #5
  br label %51

41:                                               ; preds = %36
  %42 = load i32, ptr %4, align 4, !tbaa !5
  %43 = sext i32 %42 to i64
  %44 = getelementptr inbounds [500100 x i64], ptr @ans, i64 0, i64 %43
  %45 = load i64, ptr %44, align 8, !tbaa !12
  %46 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %45)
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %46, i8 noundef signext 32)
  br label %48

48:                                               ; preds = %41
  %49 = load i32, ptr %4, align 4, !tbaa !5
  %50 = add nsw i32 %49, 1
  store i32 %50, ptr %4, align 4, !tbaa !5
  br label %36, !llvm.loop !14

51:                                               ; preds = %40
  %52 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i8 noundef signext 10)
  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)) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local void @_Z3MTTv() #3

; 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) #4 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 = { "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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = distinct !{!11, !10}
!12 = !{!13, !13, i64 0}
!13 = !{!"long long", !7, i64 0}
!14 = distinct !{!14, !10}


; 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" }

@F = external dso_local global [500100 x i32], align 16
@G = external dso_local global [500100 x i32], align 16
@n = external dso_local global i32, align 4
@m = external dso_local global i32, align 4
@p = external dso_local global i32, align 4
@ans = external dso_local local_unnamed_addr global [500100 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @n)
  %2 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %1, ptr noundef nonnull align 4 dereferenceable(4) @m)
  %3 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %2, ptr noundef nonnull align 4 dereferenceable(4) @p)
  %4 = load i32, ptr @n, align 4, !tbaa !5
  %.not13 = icmp slt i32 %4, 0
  br i1 %.not13, label %.preheader, label %.lr.ph

.preheader:                                       ; preds = %.lr.ph, %0
  %5 = load i32, ptr @m, align 4, !tbaa !5
  %.not1115 = icmp slt i32 %5, 0
  br i1 %.not1115, label %._crit_edge, label %.lr.ph17

.lr.ph:                                           ; preds = %0, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 0, %0 ]
  %6 = getelementptr inbounds [500100 x i32], ptr @F, i64 0, i64 %indvars.iv
  %7 = tail 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)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %8 = load i32, ptr @n, align 4, !tbaa !5
  %9 = sext i32 %8 to i64
  %.not.not = icmp slt i64 %indvars.iv, %9
  br i1 %.not.not, label %.lr.ph, label %.preheader, !llvm.loop !9

._crit_edge:                                      ; preds = %.lr.ph17, %.preheader
  tail call void @_Z3MTTv()
  %10 = load i32, ptr @n, align 4, !tbaa !5
  %.not1218 = icmp slt i32 %10, 0
  br i1 %.not1218, label %._crit_edge22, label %.lr.ph21

.lr.ph17:                                         ; preds = %.preheader, %.lr.ph17
  %indvars.iv24 = phi i64 [ %indvars.iv.next25, %.lr.ph17 ], [ 0, %.preheader ]
  %11 = getelementptr inbounds [500100 x i32], ptr @G, i64 0, i64 %indvars.iv24
  %12 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %11)
  %indvars.iv.next25 = add nuw nsw i64 %indvars.iv24, 1
  %13 = load i32, ptr @m, align 4, !tbaa !5
  %14 = sext i32 %13 to i64
  %.not11.not = icmp slt i64 %indvars.iv24, %14
  br i1 %.not11.not, label %.lr.ph17, label %._crit_edge, !llvm.loop !11

._crit_edge22:                                    ; preds = %.lr.ph21, %._crit_edge
  %15 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i8 noundef signext 10)
  ret i32 0

.lr.ph21:                                         ; preds = %._crit_edge, %.lr.ph21
  %indvars.iv27 = phi i64 [ %indvars.iv.next28, %.lr.ph21 ], [ 0, %._crit_edge ]
  %16 = getelementptr inbounds [500100 x i64], ptr @ans, i64 0, i64 %indvars.iv27
  %17 = load i64, ptr %16, align 8, !tbaa !12
  %18 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %17)
  %19 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %18, i8 noundef signext 32)
  %indvars.iv.next28 = add nuw nsw i64 %indvars.iv27, 1
  %20 = load i32, ptr @n, align 4, !tbaa !5
  %21 = sext i32 %20 to i64
  %.not12.not = icmp slt i64 %indvars.iv27, %21
  br i1 %.not12.not, label %.lr.ph21, label %._crit_edge22, !llvm.loop !14
}

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 #1

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local void @_Z3MTTv() 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 #2

; 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

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 = { "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 = { 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 #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" }

!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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = distinct !{!11, !10}
!12 = !{!13, !13, i64 0}
!13 = !{!"long long", !7, i64 0}
!14 = distinct !{!14, !10}


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