; LLVM IR from ShahjalalShohag/code-library :: Math (q Binomial)

; 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" }
%struct.modint = type { i32 }

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

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z4precv() #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #2 align 2

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #3

; Function Attrs: mustprogress uwtable
declare dso_local i32 @_Z18count_except_xor_0ii(i32 noundef, i32 noundef) #1

; Function Attrs: mustprogress uwtable
declare dso_local i32 @_Z18count_except_xor_1ii(i32 noundef, i32 noundef) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #4 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca %struct.modint, align 4
  %7 = alloca %struct.modint, align 4
  %8 = alloca %struct.modint, align 4
  %9 = alloca %struct.modint, align 4
  store i32 0, ptr %1, align 4
  %10 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %11 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %12 = getelementptr i8, ptr %11, i64 -24
  %13 = load i64, ptr %12, align 8
  %14 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %13
  %15 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %14, ptr noundef null)
  call void @_Z4precv()
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #7
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  br label %17

17:                                               ; preds = %37, %0
  %18 = load i32, ptr %2, align 4, !tbaa !8
  %19 = add nsw i32 %18, -1
  store i32 %19, ptr %2, align 4, !tbaa !8
  %20 = icmp ne i32 %18, 0
  br i1 %20, label %21, label %42

21:                                               ; preds = %17
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #7
  %22 = 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)
  %23 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %22, ptr noundef nonnull align 4 dereferenceable(4) %4)
  %24 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %23, ptr noundef nonnull align 4 dereferenceable(4) %5)
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #7
  call void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %6, i32 noundef 0)
  %25 = load i32, ptr %5, align 4, !tbaa !8
  %26 = icmp ne i32 %25, 0
  br i1 %26, label %27, label %32

27:                                               ; preds = %21
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #7
  %28 = load i32, ptr %3, align 4, !tbaa !8
  %29 = load i32, ptr %4, align 4, !tbaa !8
  %30 = call i32 @_Z18count_except_xor_1ii(i32 noundef %28, i32 noundef %29)
  %31 = getelementptr inbounds %struct.modint, ptr %7, i32 0, i32 0
  store i32 %30, ptr %31, align 4
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %6, ptr align 4 %7, i64 4, i1 false), !tbaa.struct !11
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #7
  br label %37

32:                                               ; preds = %21
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #7
  %33 = load i32, ptr %3, align 4, !tbaa !8
  %34 = load i32, ptr %4, align 4, !tbaa !8
  %35 = call i32 @_Z18count_except_xor_0ii(i32 noundef %33, i32 noundef %34)
  %36 = getelementptr inbounds %struct.modint, ptr %8, i32 0, i32 0
  store i32 %35, ptr %36, align 4
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %6, ptr align 4 %8, i64 4, i1 false), !tbaa.struct !11
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #7
  br label %37

37:                                               ; preds = %32, %27
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %9, ptr align 4 %6, i64 4, i1 false), !tbaa.struct !11
  %38 = getelementptr inbounds %struct.modint, ptr %9, i32 0, i32 0
  %39 = load i32, ptr %38, align 4
  %40 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZlsILi998244353EERSoS0_6modintIXT_EE(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %39)
  %41 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %40, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  br label %17, !llvm.loop !12

42:                                               ; preds = %17
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #7
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #5

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

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: 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) #6

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZlsILi998244353EERSoS0_6modintIXT_EE(ptr noundef nonnull align 8 dereferenceable(8), i32) #1

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { 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 #3 = { nocallback nofree 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 = { "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 = { 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 #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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{i64 0, i64 4, !8}
!12 = distinct !{!12, !13}
!13 = !{!"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" }
%struct.modint = type { i32 }

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

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z4precv() local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local i32 @_Z18count_except_xor_0ii(i32 noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local i32 @_Z18count_except_xor_1ii(i32 noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca %struct.modint, align 4
  %6 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %7 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %8 = getelementptr i8, ptr %7, i64 -24
  %9 = load i64, ptr %8, align 8
  %10 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %9
  %11 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %10, ptr noundef null)
  tail call void @_Z4precv()
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %12 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %13 = load i32, ptr %1, align 4, !tbaa !8
  %14 = add nsw i32 %13, -1
  store i32 %14, ptr %1, align 4, !tbaa !8
  %.not4 = icmp eq i32 %13, 0
  br i1 %.not4, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %25
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #6
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #6
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #6
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %15, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %17 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %16, ptr noundef nonnull align 4 dereferenceable(4) %4)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %5) #6
  call void @_ZN6modintILi998244353EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %5, i32 noundef 0)
  %18 = load i32, ptr %4, align 4, !tbaa !8
  %.not3 = icmp eq i32 %18, 0
  %19 = load i32, ptr %2, align 4, !tbaa !8
  %20 = load i32, ptr %3, align 4, !tbaa !8
  br i1 %.not3, label %23, label %21

21:                                               ; preds = %.lr.ph
  %22 = call i32 @_Z18count_except_xor_1ii(i32 noundef %19, i32 noundef %20)
  br label %25

23:                                               ; preds = %.lr.ph
  %24 = call i32 @_Z18count_except_xor_0ii(i32 noundef %19, i32 noundef %20)
  br label %25

25:                                               ; preds = %23, %21
  %storemerge = phi i32 [ %24, %23 ], [ %22, %21 ]
  store i32 %storemerge, ptr %5, align 4, !tbaa !8
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZlsILi998244353EERSoS0_6modintIXT_EE(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %storemerge)
  %27 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %26, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %5) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #6
  %28 = load i32, ptr %1, align 4, !tbaa !8
  %29 = add nsw i32 %28, -1
  store i32 %29, ptr %1, align 4, !tbaa !8
  %.not = icmp eq i32 %28, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !11

._crit_edge:                                      ; preds = %25, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #4

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

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 #4

; 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 #5

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZlsILi998244353EERSoS0_6modintIXT_EE(ptr noundef nonnull align 8 dereferenceable(8), i32) local_unnamed_addr #1

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { 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 #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 = { "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 = { 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 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


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