; LLVM IR from abeaumont/competitive-programming :: cses (2064)

; 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 [1000001 x i64], align 16
@finv = external dso_local global [1000001 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [3 x i8], align 1

; 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 @_Z6modinvx(i64 noundef) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %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 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext true)
  store i64 1, ptr @finv, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store i64 1, ptr %2, align 8, !tbaa !8
  br label %10

10:                                               ; preds = %34, %0
  %11 = load i64, ptr %2, align 8, !tbaa !8
  %12 = icmp sle i64 %11, 1000000
  br i1 %12, label %14, label %13

13:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  br label %37

14:                                               ; preds = %10
  %15 = load i64, ptr %2, align 8, !tbaa !8
  %16 = sub nsw i64 %15, 1
  %17 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %16
  %18 = load i64, ptr %17, align 8, !tbaa !8
  %19 = load i64, ptr %2, align 8, !tbaa !8
  %20 = mul nsw i64 %18, %19
  %21 = srem i64 %20, 1000000007
  %22 = load i64, ptr %2, align 8, !tbaa !8
  %23 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %22
  store i64 %21, ptr %23, align 8, !tbaa !8
  %24 = load i64, ptr %2, align 8, !tbaa !8
  %25 = sub nsw i64 %24, 1
  %26 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %25
  %27 = load i64, ptr %26, align 8, !tbaa !8
  %28 = load i64, ptr %2, align 8, !tbaa !8
  %29 = call noundef i64 @_Z6modinvx(i64 noundef %28)
  %30 = mul nsw i64 %27, %29
  %31 = srem i64 %30, 1000000007
  %32 = load i64, ptr %2, align 8, !tbaa !8
  %33 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %32
  store i64 %31, ptr %33, align 8, !tbaa !8
  br label %34

34:                                               ; preds = %14
  %35 = load i64, ptr %2, align 8, !tbaa !8
  %36 = add nsw i64 %35, 1
  store i64 %36, ptr %2, align 8, !tbaa !8
  br label %10, !llvm.loop !11

37:                                               ; preds = %13
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #6
  %38 = 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)
  %39 = load i32, ptr %3, align 4, !tbaa !13
  %40 = and i32 %39, 1
  %41 = icmp ne i32 %40, 0
  br i1 %41, label %42, label %44

42:                                               ; preds = %37
  %43 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  br label %72

44:                                               ; preds = %37
  %45 = load i32, ptr %3, align 4, !tbaa !13
  %46 = sext i32 %45 to i64
  %47 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %46
  %48 = load i64, ptr %47, align 8, !tbaa !8
  %49 = load i32, ptr %3, align 4, !tbaa !13
  %50 = sdiv i32 %49, 2
  %51 = sext i32 %50 to i64
  %52 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %51
  %53 = load i64, ptr %52, align 8, !tbaa !8
  %54 = mul nsw i64 %48, %53
  %55 = srem i64 %54, 1000000007
  %56 = load i32, ptr %3, align 4, !tbaa !13
  %57 = sdiv i32 %56, 2
  %58 = sext i32 %57 to i64
  %59 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %58
  %60 = load i64, ptr %59, align 8, !tbaa !8
  %61 = mul nsw i64 %55, %60
  %62 = srem i64 %61, 1000000007
  %63 = load i32, ptr %3, align 4, !tbaa !13
  %64 = sdiv i32 %63, 2
  %65 = add nsw i32 %64, 1
  %66 = sext i32 %65 to i64
  %67 = call noundef i64 @_Z6modinvx(i64 noundef %66)
  %68 = mul nsw i64 %62, %67
  %69 = srem i64 %68, 1000000007
  %70 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %69)
  %71 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %70, i8 noundef signext 10)
  br label %72

72:                                               ; preds = %44, %42
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #6
  %73 = load i32, ptr %1, align 4
  ret i32 %73
}

; 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 zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #3

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: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #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) #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #5 align 2

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 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 = { 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 #5 = { 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 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = !{!14, !14, i64 0}
!14 = !{!"int", !10, i64 0}


; 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 local_unnamed_addr global [1000001 x i64], align 16
@finv = external dso_local local_unnamed_addr global [1000001 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [3 x i8], align 1

; 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 @_Z6modinvx(i64 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = alloca i32, align 4
  %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 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext true)
  store i64 1, ptr @finv, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  br label %12

8:                                                ; preds = %12
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %9 = 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)
  %10 = load i32, ptr %1, align 4, !tbaa !11
  %11 = and i32 %10, 1
  %.not = icmp eq i32 %11, 0
  br i1 %.not, label %27, label %25

12:                                               ; preds = %0, %12
  %13 = phi i64 [ 1, %0 ], [ %22, %12 ]
  %.09 = phi i64 [ 1, %0 ], [ %24, %12 ]
  %14 = add nsw i64 %.09, -1
  %15 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %14
  %16 = load i64, ptr %15, align 8, !tbaa !8
  %17 = mul nsw i64 %16, %.09
  %18 = srem i64 %17, 1000000007
  %19 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %.09
  store i64 %18, ptr %19, align 8, !tbaa !8
  %20 = tail call noundef i64 @_Z6modinvx(i64 noundef %.09)
  %21 = mul nsw i64 %20, %13
  %22 = srem i64 %21, 1000000007
  %23 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %.09
  store i64 %22, ptr %23, align 8, !tbaa !8
  %24 = add nuw nsw i64 %.09, 1
  %exitcond.not = icmp eq i64 %24, 1000001
  br i1 %exitcond.not, label %8, label %12, !llvm.loop !13

25:                                               ; preds = %8
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str)
  br label %46

27:                                               ; preds = %8
  %28 = sext i32 %10 to i64
  %29 = getelementptr inbounds [1000001 x i64], ptr @f, i64 0, i64 %28
  %30 = load i64, ptr %29, align 8, !tbaa !8
  %31 = ashr exact i32 %10, 1
  %32 = sext i32 %31 to i64
  %33 = getelementptr inbounds [1000001 x i64], ptr @finv, i64 0, i64 %32
  %34 = load i64, ptr %33, align 8, !tbaa !8
  %35 = mul nsw i64 %34, %30
  %36 = srem i64 %35, 1000000007
  %37 = mul nsw i64 %36, %34
  %38 = srem i64 %37, 1000000007
  %39 = add nsw i32 %31, 1
  %40 = sext i32 %39 to i64
  %41 = call noundef i64 @_Z6modinvx(i64 noundef %40)
  %42 = mul nsw i64 %38, %41
  %43 = srem i64 %42, 1000000007
  %44 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %43)
  %45 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %44, i8 noundef signext 10)
  br label %46

46:                                               ; preds = %27, %25
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0
}

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

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 #3

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) 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 #4

; 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 #5 align 2

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 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 = { 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 #5 = { 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 = !{!"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: BDCEPass,EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass