; LLVM IR from Tunghohin/Competitive_Coding :: Codeforces (cf1646_C)

; 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" }

@fact_set = external dso_local global [15 x i64], align 16
@_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 nounwind uwtable
declare dso_local noundef i64 @_Z8get_factx(i64 noundef) #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5solvev() #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #3 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %4 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  %10 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %11 = getelementptr i8, ptr %10, i64 -24
  %12 = load i64, ptr %11, align 8
  %13 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %12
  %14 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %13, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  %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)
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  store i32 1, ptr %3, align 4, !tbaa !8
  br label %16

16:                                               ; preds = %28, %0
  %17 = load i32, ptr %3, align 4, !tbaa !8
  %18 = icmp sle i32 %17, 14
  br i1 %18, label %20, label %19

19:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  br label %31

20:                                               ; preds = %16
  %21 = load i32, ptr %3, align 4, !tbaa !8
  %22 = sext i32 %21 to i64
  %23 = call noundef i64 @_Z8get_factx(i64 noundef %22)
  %24 = load i32, ptr %3, align 4, !tbaa !8
  %25 = sub nsw i32 %24, 1
  %26 = sext i32 %25 to i64
  %27 = getelementptr inbounds [15 x i64], ptr @fact_set, i64 0, i64 %26
  store i64 %23, ptr %27, align 8, !tbaa !11
  br label %28

28:                                               ; preds = %20
  %29 = load i32, ptr %3, align 4, !tbaa !8
  %30 = add nsw i32 %29, 1
  store i32 %30, ptr %3, align 4, !tbaa !8
  br label %16, !llvm.loop !13

31:                                               ; preds = %19
  br label %32

32:                                               ; preds = %36, %31
  %33 = load i32, ptr %2, align 4, !tbaa !8
  %34 = add nsw i32 %33, -1
  store i32 %34, ptr %2, align 4, !tbaa !8
  %35 = icmp ne i32 %33, 0
  br i1 %35, label %36, label %37

36:                                               ; preds = %32
  call void @_Z5solvev()
  br label %32, !llvm.loop !15

37:                                               ; preds = %32
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  %38 = load i32, ptr %1, align 4
  ret i32 %38
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #1 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)) #4

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #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 = { "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 = !{!"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 = !{!12, !12, i64 0}
!12 = !{!"long long", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; 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" }

@fact_set = external dso_local local_unnamed_addr global [15 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 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 nounwind uwtable
declare dso_local noundef i64 @_Z8get_factx(i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5solvev() local_unnamed_addr #2

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #3 {
.preheader:
  %0 = alloca i32, align 4
  %1 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %2 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %3 = getelementptr i8, ptr %2, i64 -24
  %4 = load i64, ptr %3, align 8
  %5 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %4
  %6 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %5, ptr noundef null)
  %7 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %8 = getelementptr i8, ptr %7, i64 -24
  %9 = load i64, ptr %8, align 8
  %10 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %9
  %11 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %10, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %0) #5
  %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) %0)
  %13 = call noundef i64 @_Z8get_factx(i64 noundef 1)
  store i64 %13, ptr @fact_set, align 16, !tbaa !8
  %14 = call noundef i64 @_Z8get_factx(i64 noundef 2)
  store i64 %14, ptr getelementptr inbounds (i8, ptr @fact_set, i64 8), align 8, !tbaa !8
  %15 = call noundef i64 @_Z8get_factx(i64 noundef 3)
  store i64 %15, ptr getelementptr inbounds (i8, ptr @fact_set, i64 16), align 16, !tbaa !8
  %16 = call noundef i64 @_Z8get_factx(i64 noundef 4)
  store i64 %16, ptr getelementptr inbounds (i8, ptr @fact_set, i64 24), align 8, !tbaa !8
  %17 = call noundef i64 @_Z8get_factx(i64 noundef 5)
  store i64 %17, ptr getelementptr inbounds (i8, ptr @fact_set, i64 32), align 16, !tbaa !8
  %18 = call noundef i64 @_Z8get_factx(i64 noundef 6)
  store i64 %18, ptr getelementptr inbounds (i8, ptr @fact_set, i64 40), align 8, !tbaa !8
  %19 = call noundef i64 @_Z8get_factx(i64 noundef 7)
  store i64 %19, ptr getelementptr inbounds (i8, ptr @fact_set, i64 48), align 16, !tbaa !8
  %20 = call noundef i64 @_Z8get_factx(i64 noundef 8)
  store i64 %20, ptr getelementptr inbounds (i8, ptr @fact_set, i64 56), align 8, !tbaa !8
  %21 = call noundef i64 @_Z8get_factx(i64 noundef 9)
  store i64 %21, ptr getelementptr inbounds (i8, ptr @fact_set, i64 64), align 16, !tbaa !8
  %22 = call noundef i64 @_Z8get_factx(i64 noundef 10)
  store i64 %22, ptr getelementptr inbounds (i8, ptr @fact_set, i64 72), align 8, !tbaa !8
  %23 = call noundef i64 @_Z8get_factx(i64 noundef 11)
  store i64 %23, ptr getelementptr inbounds (i8, ptr @fact_set, i64 80), align 16, !tbaa !8
  %24 = call noundef i64 @_Z8get_factx(i64 noundef 12)
  store i64 %24, ptr getelementptr inbounds (i8, ptr @fact_set, i64 88), align 8, !tbaa !8
  %25 = call noundef i64 @_Z8get_factx(i64 noundef 13)
  store i64 %25, ptr getelementptr inbounds (i8, ptr @fact_set, i64 96), align 16, !tbaa !8
  %26 = call noundef i64 @_Z8get_factx(i64 noundef 14)
  store i64 %26, ptr getelementptr inbounds (i8, ptr @fact_set, i64 104), align 8, !tbaa !8
  %27 = load i32, ptr %0, align 4, !tbaa !11
  %28 = add nsw i32 %27, -1
  store i32 %28, ptr %0, align 4, !tbaa !11
  %.not6 = icmp eq i32 %27, 0
  br i1 %.not6, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %.preheader, %.lr.ph
  call void @_Z5solvev()
  %29 = load i32, ptr %0, align 4, !tbaa !11
  %30 = add nsw i32 %29, -1
  store i32 %30, ptr %0, align 4, !tbaa !11
  %.not = icmp eq i32 %29, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !13

._crit_edge:                                      ; preds = %.lr.ph, %.preheader
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %0) #5
  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 #1 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

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #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 = { "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 = !{!"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 = !{!12, !12, i64 0}
!12 = !{!"int", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}


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