; LLVM IR from upupming/algorithm :: acwing/算法基础课/第四讲 数学知识/求组合数/886. 求组合数 II (main)

; 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 = external dso_local global [100010 x i64], align 16
@infact = external dso_local global [100010 x i64], align 16
@n = external dso_local global i32, align 4
@a = external dso_local global i32, align 4
@b = 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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z4qpowiii(i32 noundef, i32 noundef, i32 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 norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  store i64 1, ptr @infact, align 16, !tbaa !5
  store i64 1, ptr @fact, align 16, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  store i32 1, ptr %2, align 4, !tbaa !9
  br label %3

3:                                                ; preds = %33, %0
  %4 = load i32, ptr %2, align 4, !tbaa !9
  %5 = icmp slt i32 %4, 100010
  br i1 %5, label %7, label %6

6:                                                ; preds = %3
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  br label %36

7:                                                ; preds = %3
  %8 = load i32, ptr %2, align 4, !tbaa !9
  %9 = sub nsw i32 %8, 1
  %10 = sext i32 %9 to i64
  %11 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %10
  %12 = load i64, ptr %11, align 8, !tbaa !5
  %13 = load i32, ptr %2, align 4, !tbaa !9
  %14 = sext i32 %13 to i64
  %15 = mul nsw i64 %12, %14
  %16 = srem i64 %15, 1000000007
  %17 = load i32, ptr %2, align 4, !tbaa !9
  %18 = sext i32 %17 to i64
  %19 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %18
  store i64 %16, ptr %19, align 8, !tbaa !5
  %20 = load i32, ptr %2, align 4, !tbaa !9
  %21 = sub nsw i32 %20, 1
  %22 = sext i32 %21 to i64
  %23 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %22
  %24 = load i64, ptr %23, align 8, !tbaa !5
  %25 = load i32, ptr %2, align 4, !tbaa !9
  %26 = call noundef i32 @_Z4qpowiii(i32 noundef %25, i32 noundef 1000000005, i32 noundef 1000000007)
  %27 = sext i32 %26 to i64
  %28 = mul nsw i64 %24, %27
  %29 = srem i64 %28, 1000000007
  %30 = load i32, ptr %2, align 4, !tbaa !9
  %31 = sext i32 %30 to i64
  %32 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %31
  store i64 %29, ptr %32, align 8, !tbaa !5
  br label %33

33:                                               ; preds = %7
  %34 = load i32, ptr %2, align 4, !tbaa !9
  %35 = add nsw i32 %34, 1
  store i32 %35, ptr %2, align 4, !tbaa !9
  br label %3, !llvm.loop !11

36:                                               ; preds = %6
  %37 = 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)
  br label %38

38:                                               ; preds = %42, %36
  %39 = load i32, ptr @n, align 4, !tbaa !9
  %40 = add nsw i32 %39, -1
  store i32 %40, ptr @n, align 4, !tbaa !9
  %41 = icmp ne i32 %39, 0
  br i1 %41, label %42, label %65

42:                                               ; preds = %38
  %43 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @a)
  %44 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %43, ptr noundef nonnull align 4 dereferenceable(4) @b)
  %45 = load i32, ptr @a, align 4, !tbaa !9
  %46 = sext i32 %45 to i64
  %47 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %46
  %48 = load i64, ptr %47, align 8, !tbaa !5
  %49 = load i32, ptr @b, align 4, !tbaa !9
  %50 = sext i32 %49 to i64
  %51 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %50
  %52 = load i64, ptr %51, align 8, !tbaa !5
  %53 = mul nsw i64 %48, %52
  %54 = srem i64 %53, 1000000007
  %55 = load i32, ptr @a, align 4, !tbaa !9
  %56 = load i32, ptr @b, align 4, !tbaa !9
  %57 = sub nsw i32 %55, %56
  %58 = sext i32 %57 to i64
  %59 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %58
  %60 = load i64, ptr %59, align 8, !tbaa !5
  %61 = mul nsw i64 %54, %60
  %62 = srem i64 %61, 1000000007
  %63 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %62)
  %64 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %63, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %38, !llvm.loop !13

65:                                               ; preds = %38
  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)) #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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #4 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #5

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 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 #3 = { "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 = { 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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


; 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 = external dso_local local_unnamed_addr global [100010 x i64], align 16
@infact = external dso_local local_unnamed_addr global [100010 x i64], align 16
@n = external dso_local global i32, align 4
@a = external dso_local global i32, align 4
@b = 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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z4qpowiii(i32 noundef, i32 noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  store i64 1, ptr @infact, align 16, !tbaa !5
  store i64 1, ptr @fact, align 16, !tbaa !5
  br label %5

1:                                                ; preds = %5
  %2 = 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)
  %3 = load i32, ptr @n, align 4, !tbaa !9
  %4 = add nsw i32 %3, -1
  store i32 %4, ptr @n, align 4, !tbaa !9
  %.not9 = icmp eq i32 %3, 0
  br i1 %.not9, label %._crit_edge, label %.lr.ph

5:                                                ; preds = %0, %5
  %6 = phi i64 [ 1, %0 ], [ %17, %5 ]
  %indvars.iv = phi i64 [ 1, %0 ], [ %indvars.iv.next, %5 ]
  %7 = add nsw i64 %indvars.iv, -1
  %8 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %7
  %9 = load i64, ptr %8, align 8, !tbaa !5
  %10 = mul nsw i64 %9, %indvars.iv
  %11 = srem i64 %10, 1000000007
  %12 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %indvars.iv
  store i64 %11, ptr %12, align 8, !tbaa !5
  %13 = trunc nuw nsw i64 %indvars.iv to i32
  %14 = tail call noundef i32 @_Z4qpowiii(i32 noundef %13, i32 noundef 1000000005, i32 noundef 1000000007)
  %15 = sext i32 %14 to i64
  %16 = mul nsw i64 %6, %15
  %17 = srem i64 %16, 1000000007
  %18 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %indvars.iv
  store i64 %17, ptr %18, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, 100010
  br i1 %exitcond.not, label %1, label %5, !llvm.loop !11

.lr.ph:                                           ; preds = %1, %.lr.ph
  %19 = 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) @a)
  %20 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %19, ptr noundef nonnull align 4 dereferenceable(4) @b)
  %21 = load i32, ptr @a, align 4, !tbaa !9
  %22 = sext i32 %21 to i64
  %23 = getelementptr inbounds [100010 x i64], ptr @fact, i64 0, i64 %22
  %24 = load i64, ptr %23, align 8, !tbaa !5
  %25 = load i32, ptr @b, align 4, !tbaa !9
  %26 = sext i32 %25 to i64
  %27 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %26
  %28 = load i64, ptr %27, align 8, !tbaa !5
  %29 = mul nsw i64 %28, %24
  %30 = srem i64 %29, 1000000007
  %31 = sub nsw i32 %21, %25
  %32 = sext i32 %31 to i64
  %33 = getelementptr inbounds [100010 x i64], ptr @infact, i64 0, i64 %32
  %34 = load i64, ptr %33, align 8, !tbaa !5
  %35 = mul nsw i64 %30, %34
  %36 = srem i64 %35, 1000000007
  %37 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %36)
  %38 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %37, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %39 = load i32, ptr @n, align 4, !tbaa !9
  %40 = add nsw i32 %39, -1
  store i32 %40, ptr @n, align 4, !tbaa !9
  %.not = icmp eq i32 %39, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !13

._crit_edge:                                      ; preds = %.lr.ph, %1
  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 #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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #3 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #4

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 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 #2 = { "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" }
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" }

!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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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