; LLVM IR from ahr9n/psolving-paradigms :: 4.dynamic-programming/14.dp-involving-graphs (AtCoder dp_g - Longest Path)

; 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" }

@n = external dso_local global i32, align 4
@m = external dso_local global i32, align 4
@memo = external dso_local global [200005 x i32], align 16
@u = external dso_local global i32, align 4
@v = external dso_local global i32, align 4
@ans = external dso_local global i32, align 4
@_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 nounwind uwtable
declare dso_local void @_Z4initv() #0

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z7addEdgeii(i32 noundef, i32 noundef) #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z2dpi(i32 noundef) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3maxIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #5 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  %4 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  %10 = load ptr, ptr @stdin, align 8, !tbaa !8
  %11 = call ptr @freopen(ptr noundef @.str, ptr noundef @.str.1, ptr noundef %10)
  %12 = 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)
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %12, ptr noundef nonnull align 4 dereferenceable(4) @m)
  call void @_Z4initv()
  br label %14

14:                                               ; preds = %18, %0
  %15 = load i32, ptr @m, align 4, !tbaa !11
  %16 = add nsw i32 %15, -1
  store i32 %16, ptr @m, align 4, !tbaa !11
  %17 = icmp ne i32 %15, 0
  br i1 %17, label %18, label %25

18:                                               ; preds = %14
  %19 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @u)
  %20 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %19, ptr noundef nonnull align 4 dereferenceable(4) @v)
  %21 = load i32, ptr @u, align 4, !tbaa !11
  %22 = sub nsw i32 %21, 1
  %23 = load i32, ptr @v, align 4, !tbaa !11
  %24 = sub nsw i32 %23, 1
  call void @_Z7addEdgeii(i32 noundef %22, i32 noundef %24)
  br label %14, !llvm.loop !13

25:                                               ; preds = %14
  call void @llvm.memset.p0.i64(ptr align 16 @memo, i8 -1, i64 800020, i1 false)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #7
  store i32 0, ptr %2, align 4, !tbaa !11
  br label %26

26:                                               ; preds = %36, %25
  %27 = load i32, ptr %2, align 4, !tbaa !11
  %28 = load i32, ptr @n, align 4, !tbaa !11
  %29 = icmp slt i32 %27, %28
  br i1 %29, label %31, label %30

30:                                               ; preds = %26
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #7
  br label %39

31:                                               ; preds = %26
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  %32 = load i32, ptr %2, align 4, !tbaa !11
  %33 = call noundef i32 @_Z2dpi(i32 noundef %32)
  store i32 %33, ptr %3, align 4, !tbaa !11
  %34 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3maxIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) @ans, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %35 = load i32, ptr %34, align 4, !tbaa !11
  store i32 %35, ptr @ans, align 4, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  br label %36

36:                                               ; preds = %31
  %37 = load i32, ptr %2, align 4, !tbaa !11
  %38 = add nsw i32 %37, 1
  store i32 %38, ptr %2, align 4, !tbaa !11
  br label %26, !llvm.loop !15

39:                                               ; preds = %30
  %40 = load i32, ptr @ans, align 4, !tbaa !11
  %41 = add nsw i32 %40, 1
  store i32 %41, ptr @ans, align 4, !tbaa !11
  %42 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %41)
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #6

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

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) #6

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #6

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #6

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 nounwind willreturn memory(argmem: write) }
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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { inlinehint 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 = { 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 #6 = { "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 #7 = { 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}


; 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" }

@n = external dso_local global i32, align 4
@m = external dso_local global i32, align 4
@memo = external dso_local local_unnamed_addr global [200005 x i32], align 16
@u = external dso_local global i32, align 4
@v = external dso_local global i32, align 4
@ans = external dso_local global i32, align 4
@_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 nounwind uwtable
declare dso_local void @_Z4initv() local_unnamed_addr #0

; Function Attrs: mustprogress nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_Z7addEdgeii(i32 noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef i32 @_Z2dpi(i32 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3maxIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #4

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #5 {
  %1 = alloca i32, align 4
  %2 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %3 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %4 = getelementptr i8, ptr %3, i64 -24
  %5 = load i64, ptr %4, align 8
  %6 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %5
  %7 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %6, ptr noundef null)
  %8 = load ptr, ptr @stdin, align 8, !tbaa !8
  %9 = tail call ptr @freopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.1, ptr noundef %8)
  %10 = 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)
  %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) @m)
  tail call void @_Z4initv()
  %12 = load i32, ptr @m, align 4, !tbaa !11
  %13 = add nsw i32 %12, -1
  store i32 %13, ptr @m, align 4, !tbaa !11
  %.not3 = icmp eq i32 %12, 0
  br i1 %.not3, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %.lr.ph
  %14 = 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) @u)
  %15 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %14, ptr noundef nonnull align 4 dereferenceable(4) @v)
  %16 = load i32, ptr @u, align 4, !tbaa !11
  %17 = add nsw i32 %16, -1
  %18 = load i32, ptr @v, align 4, !tbaa !11
  %19 = add nsw i32 %18, -1
  tail call void @_Z7addEdgeii(i32 noundef %17, i32 noundef %19)
  %20 = load i32, ptr @m, align 4, !tbaa !11
  %21 = add nsw i32 %20, -1
  store i32 %21, ptr @m, align 4, !tbaa !11
  %.not = icmp eq i32 %20, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !13

._crit_edge:                                      ; preds = %.lr.ph, %0
  tail call void @llvm.memset.p0.i64(ptr noundef nonnull align 16 dereferenceable(800020) @memo, i8 -1, i64 800020, i1 false)
  %22 = load i32, ptr @n, align 4, !tbaa !11
  %23 = icmp sgt i32 %22, 0
  br i1 %23, label %.lr.ph6, label %._crit_edge.._crit_edge7_crit_edge

._crit_edge.._crit_edge7_crit_edge:               ; preds = %._crit_edge
  %.pre = load i32, ptr @ans, align 4, !tbaa !11
  br label %._crit_edge7

._crit_edge7:                                     ; preds = %.lr.ph6, %._crit_edge.._crit_edge7_crit_edge
  %24 = phi i32 [ %.pre, %._crit_edge.._crit_edge7_crit_edge ], [ %29, %.lr.ph6 ]
  %25 = add nsw i32 %24, 1
  store i32 %25, ptr @ans, align 4, !tbaa !11
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %25)
  ret i32 0

.lr.ph6:                                          ; preds = %._crit_edge, %.lr.ph6
  %.04 = phi i32 [ %30, %.lr.ph6 ], [ 0, %._crit_edge ]
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  %27 = call noundef i32 @_Z2dpi(i32 noundef %.04)
  store i32 %27, ptr %1, align 4, !tbaa !11
  %28 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3maxIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) @ans, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %29 = load i32, ptr %28, align 4, !tbaa !11
  store i32 %29, ptr @ans, align 4, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  %30 = add nuw nsw i32 %.04, 1
  %31 = load i32, ptr @n, align 4, !tbaa !11
  %32 = icmp slt i32 %30, %31
  br i1 %32, label %.lr.ph6, label %._crit_edge7, !llvm.loop !15
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #6

; 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

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #6

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 #6

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #6

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 nocallback nofree nounwind willreturn memory(argmem: write) }
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 nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { inlinehint 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 = { 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 #6 = { "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 #7 = { 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}


; Effective O3 passes: GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass