; LLVM IR from VastoLorde95/Competitive-Programming :: Codeforces/BubbleCup/Problem H (H)

; 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_ostream" = type { ptr, %"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 }

@f = external dso_local global [2001000 x i64], align 16
@MOD = external dso_local global i64, align 8
@ans = external dso_local global i64, align 8
@n = external dso_local global i32, align 4
@.str = external hidden unnamed_addr constant [3 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [2 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 @_Z3nCrii(i32 noundef, i32 noundef) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  store i64 1, ptr @f, 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 %4

4:                                                ; preds = %22, %0
  %5 = load i32, ptr %2, align 4, !tbaa !9
  %6 = icmp sle i32 %5, 2000010
  br i1 %6, label %8, label %7

7:                                                ; preds = %4
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  br label %25

8:                                                ; preds = %4
  %9 = load i32, ptr %2, align 4, !tbaa !9
  %10 = sub nsw i32 %9, 1
  %11 = sext i32 %10 to i64
  %12 = getelementptr inbounds [2001000 x i64], ptr @f, i64 0, i64 %11
  %13 = load i64, ptr %12, align 8, !tbaa !5
  %14 = load i32, ptr %2, align 4, !tbaa !9
  %15 = sext i32 %14 to i64
  %16 = mul nsw i64 %13, %15
  %17 = load i64, ptr @MOD, align 8, !tbaa !5
  %18 = srem i64 %16, %17
  %19 = load i32, ptr %2, align 4, !tbaa !9
  %20 = sext i32 %19 to i64
  %21 = getelementptr inbounds [2001000 x i64], ptr @f, i64 0, i64 %20
  store i64 %18, ptr %21, align 8, !tbaa !5
  br label %22

22:                                               ; preds = %8
  %23 = load i32, ptr %2, align 4, !tbaa !9
  %24 = add nsw i32 %23, 1
  store i32 %24, ptr %2, align 4, !tbaa !9
  br label %4, !llvm.loop !11

25:                                               ; preds = %7
  %26 = call i32 (ptr, ...) @__isoc99_scanf(ptr noundef @.str, ptr noundef @n)
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #6
  store i32 0, ptr %3, align 4, !tbaa !9
  br label %27

27:                                               ; preds = %44, %25
  %28 = load i32, ptr %3, align 4, !tbaa !9
  %29 = load i32, ptr @n, align 4, !tbaa !9
  %30 = icmp sle i32 %28, %29
  br i1 %30, label %32, label %31

31:                                               ; preds = %27
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #6
  br label %47

32:                                               ; preds = %27
  %33 = load i64, ptr @ans, align 8, !tbaa !5
  %34 = load i32, ptr @n, align 4, !tbaa !9
  %35 = load i32, ptr %3, align 4, !tbaa !9
  %36 = add nsw i32 %34, %35
  %37 = add nsw i32 %36, 1
  %38 = load i32, ptr %3, align 4, !tbaa !9
  %39 = add nsw i32 %38, 1
  %40 = call noundef i64 @_Z3nCrii(i32 noundef %37, i32 noundef %39)
  %41 = add nsw i64 %33, %40
  %42 = load i64, ptr @MOD, align 8, !tbaa !5
  %43 = srem i64 %41, %42
  store i64 %43, ptr @ans, align 8, !tbaa !5
  br label %44

44:                                               ; preds = %32
  %45 = load i32, ptr %3, align 4, !tbaa !9
  %46 = add nsw i32 %45, 1
  store i32 %46, ptr %3, align 4, !tbaa !9
  br label %27, !llvm.loop !13

47:                                               ; preds = %31
  %48 = load i64, ptr @ans, align 8, !tbaa !5
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %48)
  %50 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %49, ptr noundef @.str.1)
  ret i32 0
}

declare i32 @__isoc99_scanf(ptr noundef, ...) #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: 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 = !{!"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_ostream" = type { ptr, %"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 }

@f = external dso_local local_unnamed_addr global [2001000 x i64], align 16
@MOD = external dso_local local_unnamed_addr global i64, align 8
@ans = external dso_local local_unnamed_addr global i64, align 8
@n = external dso_local global i32, align 4
@.str = external hidden unnamed_addr constant [3 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z3nCrii(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 @f, align 16, !tbaa !5
  %1 = load i64, ptr @MOD, align 8, !tbaa !5
  br label %5

2:                                                ; preds = %5
  %3 = tail call i32 (ptr, ...) @__isoc99_scanf(ptr noundef nonnull @.str, ptr noundef nonnull @n)
  %4 = load i32, ptr @n, align 4, !tbaa !9
  %.not12 = icmp slt i32 %4, 0
  %.pre15 = load i64, ptr @ans, align 8, !tbaa !5
  br i1 %.not12, label %._crit_edge, label %.lr.ph

5:                                                ; preds = %5, %0
  %6 = phi i64 [ 1, %0 ], [ %14, %5 ]
  %indvars.iv = phi i64 [ 1, %0 ], [ %indvars.iv.next.2, %5 ]
  %7 = mul nsw i64 %6, %indvars.iv
  %8 = srem i64 %7, %1
  %9 = getelementptr inbounds [2001000 x i64], ptr @f, i64 0, i64 %indvars.iv
  store i64 %8, ptr %9, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %10 = mul nsw i64 %8, %indvars.iv.next
  %11 = srem i64 %10, %1
  %12 = getelementptr inbounds [2001000 x i64], ptr @f, i64 0, i64 %indvars.iv.next
  store i64 %11, ptr %12, align 8, !tbaa !5
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %13 = mul nsw i64 %11, %indvars.iv.next.1
  %14 = srem i64 %13, %1
  %15 = getelementptr inbounds [2001000 x i64], ptr @f, i64 0, i64 %indvars.iv.next.1
  store i64 %14, ptr %15, align 8, !tbaa !5
  %indvars.iv.next.2 = add nuw nsw i64 %indvars.iv, 3
  %exitcond.not.2 = icmp eq i64 %indvars.iv.next.2, 2000011
  br i1 %exitcond.not.2, label %2, label %5, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph, %2
  %16 = phi i64 [ %.pre15, %2 ], [ %26, %.lr.ph ]
  %17 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %16)
  %18 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %17, ptr noundef nonnull @.str.1)
  ret i32 0

.lr.ph:                                           ; preds = %2, %.lr.ph
  %19 = phi i64 [ %26, %.lr.ph ], [ %.pre15, %2 ]
  %20 = phi i32 [ %27, %.lr.ph ], [ %4, %2 ]
  %.013 = phi i32 [ %21, %.lr.ph ], [ 0, %2 ]
  %21 = add nuw nsw i32 %.013, 1
  %22 = add i32 %21, %20
  %23 = tail call noundef i64 @_Z3nCrii(i32 noundef %22, i32 noundef %21)
  %24 = add nsw i64 %23, %19
  %25 = load i64, ptr @MOD, align 8, !tbaa !5
  %26 = srem i64 %24, %25
  store i64 %26, ptr @ans, align 8, !tbaa !5
  %27 = load i32, ptr @n, align 4, !tbaa !9
  %.not.not = icmp slt i32 %.013, %27
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !13
}

; Function Attrs: nofree nounwind
declare noundef i32 @__isoc99_scanf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

; 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 #3

; 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 #4 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 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 = { nofree nounwind "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 = { 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 #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" }

!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,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass