; LLVM IR from Tunghohin/Competitive_Coding :: Nowcoder (21791_F)

; 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 [1000010 x i32], align 16
@inv = external dso_local global [1000010 x i32], align 16
@_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 @_Z5q_powii(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 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
  store i32 0, ptr %1, align 4
  %3 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %4 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %5 = getelementptr i8, ptr %4, i64 -24
  %6 = load i64, ptr %5, align 8
  %7 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %6
  %8 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %7, ptr noundef null)
  %9 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !5
  %10 = getelementptr i8, ptr %9, i64 -24
  %11 = load i64, ptr %10, align 8
  %12 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %11
  %13 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %12, ptr noundef null)
  store i32 1, ptr @inv, align 16, !tbaa !8
  store i32 1, ptr @fact, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  store i32 1, ptr %2, align 4, !tbaa !8
  br label %14

14:                                               ; preds = %41, %0
  %15 = load i32, ptr %2, align 4, !tbaa !8
  %16 = icmp sle i32 %15, 1000000
  br i1 %16, label %18, label %17

17:                                               ; preds = %14
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  br label %44

18:                                               ; preds = %14
  %19 = load i32, ptr %2, align 4, !tbaa !8
  %20 = sub nsw i32 %19, 1
  %21 = sext i32 %20 to i64
  %22 = getelementptr inbounds [1000010 x i32], ptr @fact, i64 0, i64 %21
  %23 = load i32, ptr %22, align 4, !tbaa !8
  %24 = sext i32 %23 to i64
  %25 = load i32, ptr %2, align 4, !tbaa !8
  %26 = sext i32 %25 to i64
  %27 = mul nsw i64 %24, %26
  %28 = srem i64 %27, 1000000007
  %29 = trunc i64 %28 to i32
  %30 = load i32, ptr %2, align 4, !tbaa !8
  %31 = sext i32 %30 to i64
  %32 = getelementptr inbounds [1000010 x i32], ptr @fact, i64 0, i64 %31
  store i32 %29, ptr %32, align 4, !tbaa !8
  %33 = load i32, ptr %2, align 4, !tbaa !8
  %34 = sext i32 %33 to i64
  %35 = getelementptr inbounds [1000010 x i32], ptr @fact, i64 0, i64 %34
  %36 = load i32, ptr %35, align 4, !tbaa !8
  %37 = call noundef i32 @_Z5q_powii(i32 noundef %36, i32 noundef 1000000005)
  %38 = load i32, ptr %2, align 4, !tbaa !8
  %39 = sext i32 %38 to i64
  %40 = getelementptr inbounds [1000010 x i32], ptr @inv, i64 0, i64 %39
  store i32 %37, ptr %40, align 4, !tbaa !8
  br label %41

41:                                               ; preds = %18
  %42 = load i32, ptr %2, align 4, !tbaa !8
  %43 = add nsw i32 %42, 1
  store i32 %43, ptr %2, align 4, !tbaa !8
  br label %14, !llvm.loop !11

44:                                               ; preds = %17
  call void @_Z5solvev()
  %45 = load i32, ptr %1, align 4
  ret i32 %45
}

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) #0 align 2

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 = { "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 = distinct !{!11, !12}
!12 = !{!"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" }

@fact = external dso_local local_unnamed_addr global [1000010 x i32], align 16
@inv = external dso_local local_unnamed_addr global [1000010 x i32], align 16
@_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 @_Z5q_powii(i32 noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z5solvev() local_unnamed_addr #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %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)
  store i32 1, ptr @inv, align 16, !tbaa !8
  store i32 1, ptr @fact, align 16, !tbaa !8
  br label %13

12:                                               ; preds = %13
  tail call void @_Z5solvev()
  ret i32 0

13:                                               ; preds = %0, %13
  %indvars.iv = phi i64 [ 1, %0 ], [ %indvars.iv.next, %13 ]
  %14 = add nsw i64 %indvars.iv, -1
  %15 = getelementptr inbounds [1000010 x i32], ptr @fact, i64 0, i64 %14
  %16 = load i32, ptr %15, align 4, !tbaa !8
  %17 = sext i32 %16 to i64
  %18 = mul nsw i64 %indvars.iv, %17
  %19 = srem i64 %18, 1000000007
  %20 = trunc nsw i64 %19 to i32
  %21 = getelementptr inbounds [1000010 x i32], ptr @fact, i64 0, i64 %indvars.iv
  store i32 %20, ptr %21, align 4, !tbaa !8
  %22 = tail call noundef i32 @_Z5q_powii(i32 noundef %20, i32 noundef 1000000005)
  %23 = getelementptr inbounds [1000010 x i32], ptr @inv, i64 0, i64 %indvars.iv
  store i32 %22, ptr %23, align 4, !tbaa !8
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, 1000001
  br i1 %exitcond.not, label %12, label %13, !llvm.loop !11
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #0 align 2

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 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 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" }

!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: EarlyCSEPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,SROAPass,SimplifyCFGPass,TailCallElimPass