; LLVM IR from ahr9n/psolving-paradigms :: 5.other-techniques (CodeForces 711C - Coloring Trees)

; 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" }

@trees = external dso_local global i32, align 4
@colors = external dso_local global i32, align 4
@neededBeauty = external dso_local global i32, align 4
@color = external dso_local global [101 x i64], align 16
@litre = external dso_local global [101 x [101 x i64]], align 16
@memo = external dso_local global [101 x [101 x [101 x i64]]], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str = external hidden unnamed_addr constant [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external global ptr, align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z2dpiii(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
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %6 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %7 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %8 = getelementptr i8, ptr %7, i64 -24
  %9 = load i64, ptr %8, align 8
  %10 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %9
  %11 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %10, ptr noundef null)
  %12 = load ptr, ptr @stdin, align 8, !tbaa !8
  %13 = call ptr @freopen(ptr noundef @.str, ptr noundef @.str.1, ptr noundef %12)
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @trees)
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %14, ptr noundef nonnull align 4 dereferenceable(4) @colors)
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %15, ptr noundef nonnull align 4 dereferenceable(4) @neededBeauty)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  store i32 0, ptr %2, align 4, !tbaa !11
  br label %17

17:                                               ; preds = %27, %0
  %18 = load i32, ptr %2, align 4, !tbaa !11
  %19 = load i32, ptr @trees, align 4, !tbaa !11
  %20 = icmp slt i32 %18, %19
  br i1 %20, label %22, label %21

21:                                               ; preds = %17
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  br label %30

22:                                               ; preds = %17
  %23 = load i32, ptr %2, align 4, !tbaa !11
  %24 = sext i32 %23 to i64
  %25 = getelementptr inbounds [101 x i64], ptr @color, i64 0, i64 %24
  %26 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %25)
  br label %27

27:                                               ; preds = %22
  %28 = load i32, ptr %2, align 4, !tbaa !11
  %29 = add nsw i32 %28, 1
  store i32 %29, ptr %2, align 4, !tbaa !11
  br label %17, !llvm.loop !13

30:                                               ; preds = %21
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #6
  store i32 0, ptr %3, align 4, !tbaa !11
  br label %31

31:                                               ; preds = %54, %30
  %32 = load i32, ptr %3, align 4, !tbaa !11
  %33 = load i32, ptr @trees, align 4, !tbaa !11
  %34 = icmp slt i32 %32, %33
  br i1 %34, label %36, label %35

35:                                               ; preds = %31
  store i32 5, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #6
  br label %57

36:                                               ; preds = %31
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #6
  store i32 0, ptr %5, align 4, !tbaa !11
  br label %37

37:                                               ; preds = %50, %36
  %38 = load i32, ptr %5, align 4, !tbaa !11
  %39 = load i32, ptr @colors, align 4, !tbaa !11
  %40 = icmp slt i32 %38, %39
  br i1 %40, label %42, label %41

41:                                               ; preds = %37
  store i32 8, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #6
  br label %53

42:                                               ; preds = %37
  %43 = load i32, ptr %3, align 4, !tbaa !11
  %44 = sext i32 %43 to i64
  %45 = getelementptr inbounds [101 x [101 x i64]], ptr @litre, i64 0, i64 %44
  %46 = load i32, ptr %5, align 4, !tbaa !11
  %47 = sext i32 %46 to i64
  %48 = getelementptr inbounds [101 x i64], ptr %45, i64 0, i64 %47
  %49 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %48)
  br label %50

50:                                               ; preds = %42
  %51 = load i32, ptr %5, align 4, !tbaa !11
  %52 = add nsw i32 %51, 1
  store i32 %52, ptr %5, align 4, !tbaa !11
  br label %37, !llvm.loop !15

53:                                               ; preds = %41
  br label %54

54:                                               ; preds = %53
  %55 = load i32, ptr %3, align 4, !tbaa !11
  %56 = add nsw i32 %55, 1
  store i32 %56, ptr %3, align 4, !tbaa !11
  br label %31, !llvm.loop !16

57:                                               ; preds = %35
  call void @llvm.memset.p0.i64(ptr align 16 @memo, i8 -1, i64 8242408, i1 false)
  %58 = call noundef i64 @_Z2dpiii(i32 noundef 0, i32 noundef 0, i32 noundef 0)
  %59 = icmp sge i64 %58, 4557430888798830399
  br i1 %59, label %60, label %61

60:                                               ; preds = %57
  br label %63

61:                                               ; preds = %57
  %62 = call noundef i64 @_Z2dpiii(i32 noundef 0, i32 noundef 0, i32 noundef 0)
  br label %63

63:                                               ; preds = %61, %60
  %64 = phi i64 [ -1, %60 ], [ %62, %61 ]
  %65 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %64)
  ret i32 0
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #4 align 2

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) #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: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #0 align 2

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #0 align 2

attributes #0 = { 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 #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 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 #5 = { nocallback nofree nounwind willreturn memory(argmem: write) }
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 = !{!"any pointer", !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"}
!15 = distinct !{!15, !14}
!16 = distinct !{!16, !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" }

@trees = external dso_local global i32, align 4
@colors = external dso_local global i32, align 4
@neededBeauty = external dso_local global i32, align 4
@color = external dso_local global [101 x i64], align 16
@litre = external dso_local global [101 x [101 x i64]], align 16
@memo = external dso_local local_unnamed_addr global [101 x [101 x [101 x i64]]], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str = external hidden unnamed_addr constant [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external local_unnamed_addr global ptr, align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z2dpiii(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 {
  %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 @stdin, align 8, !tbaa !8
  %8 = tail call ptr @freopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.1, ptr noundef %7)
  %9 = 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) @trees)
  %10 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %9, ptr noundef nonnull align 4 dereferenceable(4) @colors)
  %11 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %10, ptr noundef nonnull align 4 dereferenceable(4) @neededBeauty)
  %12 = load i32, ptr @trees, align 4, !tbaa !11
  %13 = icmp sgt i32 %12, 0
  br i1 %13, label %.lr.ph, label %._crit_edge16

.preheader11:                                     ; preds = %.lr.ph
  %14 = icmp sgt i32 %19, 0
  %15 = load i32, ptr @colors, align 4
  %16 = icmp sgt i32 %15, 0
  %or.cond = select i1 %14, i1 %16, i1 false
  br i1 %or.cond, label %.preheader, label %._crit_edge16

.lr.ph:                                           ; preds = %0, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 0, %0 ]
  %17 = getelementptr inbounds [101 x i64], ptr @color, i64 0, i64 %indvars.iv
  %18 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %17)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %19 = load i32, ptr @trees, align 4, !tbaa !11
  %20 = sext i32 %19 to i64
  %21 = icmp slt i64 %indvars.iv.next, %20
  br i1 %21, label %.lr.ph, label %.preheader11, !llvm.loop !13

.preheader:                                       ; preds = %.preheader11, %._crit_edge
  %22 = phi i32 [ %27, %._crit_edge ], [ %19, %.preheader11 ]
  %23 = phi i32 [ %28, %._crit_edge ], [ %15, %.preheader11 ]
  %indvars.iv22 = phi i64 [ %indvars.iv.next23, %._crit_edge ], [ 0, %.preheader11 ]
  %24 = icmp sgt i32 %23, 0
  br i1 %24, label %.lr.ph14, label %._crit_edge

._crit_edge16:                                    ; preds = %._crit_edge, %0, %.preheader11
  tail call void @llvm.memset.p0.i64(ptr noundef nonnull align 16 dereferenceable(8242408) @memo, i8 -1, i64 8242408, i1 false)
  %25 = tail call noundef i64 @_Z2dpiii(i32 noundef 0, i32 noundef 0, i32 noundef 0)
  %26 = icmp sgt i64 %25, 4557430888798830398
  br i1 %26, label %38, label %36

._crit_edge.loopexit:                             ; preds = %.lr.ph14
  %.pre = load i32, ptr @trees, align 4, !tbaa !11
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit, %.preheader
  %27 = phi i32 [ %.pre, %._crit_edge.loopexit ], [ %22, %.preheader ]
  %28 = phi i32 [ %33, %._crit_edge.loopexit ], [ %23, %.preheader ]
  %indvars.iv.next23 = add nuw nsw i64 %indvars.iv22, 1
  %29 = sext i32 %27 to i64
  %30 = icmp slt i64 %indvars.iv.next23, %29
  br i1 %30, label %.preheader, label %._crit_edge16, !llvm.loop !15

.lr.ph14:                                         ; preds = %.preheader, %.lr.ph14
  %indvars.iv19 = phi i64 [ %indvars.iv.next20, %.lr.ph14 ], [ 0, %.preheader ]
  %31 = getelementptr inbounds [101 x [101 x i64]], ptr @litre, i64 0, i64 %indvars.iv22, i64 %indvars.iv19
  %32 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %31)
  %indvars.iv.next20 = add nuw nsw i64 %indvars.iv19, 1
  %33 = load i32, ptr @colors, align 4, !tbaa !11
  %34 = sext i32 %33 to i64
  %35 = icmp slt i64 %indvars.iv.next20, %34
  br i1 %35, label %.lr.ph14, label %._crit_edge.loopexit, !llvm.loop !17

36:                                               ; preds = %._crit_edge16
  %37 = tail call noundef i64 @_Z2dpiii(i32 noundef 0, i32 noundef 0, i32 noundef 0)
  br label %38

38:                                               ; preds = %._crit_edge16, %36
  %39 = phi i64 [ %37, %36 ], [ -1, %._crit_edge16 ]
  %40 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %39)
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #2

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #3 align 2

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #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 #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #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 #0 align 2

attributes #0 = { 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 #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 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 #4 = { mustprogress nocallback nofree nounwind willreturn memory(argmem: write) }

!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 = !{!"any pointer", !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"}
!15 = distinct !{!15, !14, !16}
!16 = !{!"llvm.loop.unswitch.partial.disable"}
!17 = distinct !{!17, !14}


; Effective O3 passes: CorrelatedValuePropagationPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyCFGPass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimpleLoopUnswitchPass,SimplifyCFGPass,TailCallElimPass