; LLVM IR from ritikbanger/Hacktoberfest2022-DSA :: 20. Dynamic Programming (catalanDP)

; 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 }
%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [52 x i8], align 1
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca ptr, align 8
  %6 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #5
  %7 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %9 = load i64, ptr %2, align 8, !tbaa !5
  %10 = call ptr @llvm.stacksave.p0()
  store ptr %10, ptr %5, align 8
  %11 = alloca i64, i64 %9, align 16
  store i64 %9, ptr %6, align 8
  %12 = getelementptr inbounds i64, ptr %11, i64 1
  store i64 1, ptr %12, align 8, !tbaa !5
  %13 = getelementptr inbounds i64, ptr %11, i64 0
  store i64 1, ptr %13, align 16, !tbaa !5
  %14 = getelementptr inbounds i64, ptr %11, i64 0
  %15 = load i64, ptr %14, align 16, !tbaa !5
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %15)
  %17 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %16, ptr noundef @.str.1)
  %18 = getelementptr inbounds i64, ptr %11, i64 1
  %19 = load i64, ptr %18, align 8, !tbaa !5
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) %17, i64 noundef %19)
  %21 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %20, ptr noundef @.str.1)
  store i64 2, ptr %3, align 8, !tbaa !5
  br label %22

22:                                               ; preds = %57, %0
  %23 = load i64, ptr %3, align 8, !tbaa !5
  %24 = load i64, ptr %2, align 8, !tbaa !5
  %25 = icmp slt i64 %23, %24
  br i1 %25, label %26, label %60

26:                                               ; preds = %22
  %27 = load i64, ptr %3, align 8, !tbaa !5
  %28 = getelementptr inbounds i64, ptr %11, i64 %27
  store i64 0, ptr %28, align 8, !tbaa !5
  store i64 0, ptr %4, align 8, !tbaa !5
  br label %29

29:                                               ; preds = %48, %26
  %30 = load i64, ptr %4, align 8, !tbaa !5
  %31 = load i64, ptr %3, align 8, !tbaa !5
  %32 = icmp slt i64 %30, %31
  br i1 %32, label %33, label %51

33:                                               ; preds = %29
  %34 = load i64, ptr %4, align 8, !tbaa !5
  %35 = getelementptr inbounds i64, ptr %11, i64 %34
  %36 = load i64, ptr %35, align 8, !tbaa !5
  %37 = load i64, ptr %3, align 8, !tbaa !5
  %38 = load i64, ptr %4, align 8, !tbaa !5
  %39 = sub nsw i64 %37, %38
  %40 = sub nsw i64 %39, 1
  %41 = getelementptr inbounds i64, ptr %11, i64 %40
  %42 = load i64, ptr %41, align 8, !tbaa !5
  %43 = mul nsw i64 %36, %42
  %44 = load i64, ptr %3, align 8, !tbaa !5
  %45 = getelementptr inbounds i64, ptr %11, i64 %44
  %46 = load i64, ptr %45, align 8, !tbaa !5
  %47 = add nsw i64 %46, %43
  store i64 %47, ptr %45, align 8, !tbaa !5
  br label %48

48:                                               ; preds = %33
  %49 = load i64, ptr %4, align 8, !tbaa !5
  %50 = add nsw i64 %49, 1
  store i64 %50, ptr %4, align 8, !tbaa !5
  br label %29, !llvm.loop !9

51:                                               ; preds = %29
  %52 = load i64, ptr %3, align 8, !tbaa !5
  %53 = getelementptr inbounds i64, ptr %11, i64 %52
  %54 = load i64, ptr %53, align 8, !tbaa !5
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %54)
  %56 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %55, ptr noundef @.str.1)
  br label %57

57:                                               ; preds = %51
  %58 = load i64, ptr %3, align 8, !tbaa !5
  %59 = add nsw i64 %58, 1
  store i64 %59, ptr %3, align 8, !tbaa !5
  br label %22, !llvm.loop !11

60:                                               ; preds = %22
  %61 = load ptr, ptr %5, align 8
  call void @llvm.stackrestore.p0(ptr %61)
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #5
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #5
  %62 = load i32, ptr %1, align 4
  ret i32 %62
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; 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) #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #3 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn
declare ptr @llvm.stacksave.p0() #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #3 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn
declare void @llvm.stackrestore.p0(ptr) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 = { nocallback nofree nosync nounwind willreturn }
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 = !{!"long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = distinct !{!11, !10}


; 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 }
%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [52 x i8], align 1
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #6
  %2 = tail 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)
  %3 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %4 = load i64, ptr %1, align 8, !tbaa !5
  %5 = call ptr @llvm.stacksave.p0()
  %6 = alloca i64, i64 %4, align 16
  %7 = getelementptr inbounds i8, ptr %6, i64 8
  store i64 1, ptr %7, align 8, !tbaa !5
  store i64 1, ptr %6, align 16, !tbaa !5
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef 1)
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %8, ptr noundef nonnull @.str.1)
  %10 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) %9, i64 noundef 1)
  %11 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %10, ptr noundef nonnull @.str.1)
  %12 = load i64, ptr %1, align 8, !tbaa !5
  %13 = icmp sgt i64 %12, 2
  br i1 %13, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %0, %.loopexit
  %.014 = phi i64 [ %38, %.loopexit ], [ 2, %0 ]
  %14 = getelementptr inbounds i64, ptr %6, i64 %.014
  store i64 0, ptr %14, align 8, !tbaa !5
  %min.iters.check = icmp ult i64 %.014, 4
  br i1 %min.iters.check, label %scalar.ph.preheader, label %vector.ph

vector.ph:                                        ; preds = %.lr.ph
  %n.vec = and i64 %.014, 9223372036854775804
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %vec.phi = phi <2 x i64> [ zeroinitializer, %vector.ph ], [ %23, %vector.body ]
  %vec.phi15 = phi <2 x i64> [ zeroinitializer, %vector.ph ], [ %24, %vector.body ]
  %15 = getelementptr inbounds i64, ptr %6, i64 %index
  %16 = getelementptr inbounds i8, ptr %15, i64 16
  %wide.load = load <2 x i64>, ptr %15, align 16, !tbaa !5
  %wide.load16 = load <2 x i64>, ptr %16, align 16, !tbaa !5
  %17 = xor i64 %index, -1
  %18 = getelementptr i64, ptr %14, i64 %17
  %19 = getelementptr i8, ptr %18, i64 -8
  %20 = getelementptr i8, ptr %18, i64 -24
  %wide.load17 = load <2 x i64>, ptr %19, align 8, !tbaa !5
  %reverse = shufflevector <2 x i64> %wide.load17, <2 x i64> poison, <2 x i32> <i32 1, i32 0>
  %wide.load18 = load <2 x i64>, ptr %20, align 8, !tbaa !5
  %reverse19 = shufflevector <2 x i64> %wide.load18, <2 x i64> poison, <2 x i32> <i32 1, i32 0>
  %21 = mul nsw <2 x i64> %reverse, %wide.load
  %22 = mul nsw <2 x i64> %reverse19, %wide.load16
  %23 = add <2 x i64> %vec.phi, %21
  %24 = add <2 x i64> %vec.phi15, %22
  %index.next = add nuw i64 %index, 4
  %25 = icmp eq i64 %index.next, %n.vec
  br i1 %25, label %middle.block, label %vector.body, !llvm.loop !9

middle.block:                                     ; preds = %vector.body
  %bin.rdx = add <2 x i64> %24, %23
  %26 = call i64 @llvm.vector.reduce.add.v2i64(<2 x i64> %bin.rdx)
  store i64 %26, ptr %14, align 8, !tbaa !5
  %cmp.n = icmp eq i64 %.014, %n.vec
  br i1 %cmp.n, label %.loopexit, label %scalar.ph.preheader

scalar.ph.preheader:                              ; preds = %middle.block, %.lr.ph
  %.01213.ph = phi i64 [ 0, %.lr.ph ], [ %n.vec, %middle.block ]
  %.ph = phi i64 [ 0, %.lr.ph ], [ %26, %middle.block ]
  br label %scalar.ph

scalar.ph:                                        ; preds = %scalar.ph.preheader, %scalar.ph
  %.01213 = phi i64 [ %35, %scalar.ph ], [ %.01213.ph, %scalar.ph.preheader ]
  %27 = phi i64 [ %34, %scalar.ph ], [ %.ph, %scalar.ph.preheader ]
  %28 = getelementptr inbounds i64, ptr %6, i64 %.01213
  %29 = load i64, ptr %28, align 8, !tbaa !5
  %30 = xor i64 %.01213, -1
  %31 = getelementptr i64, ptr %14, i64 %30
  %32 = load i64, ptr %31, align 8, !tbaa !5
  %33 = mul nsw i64 %32, %29
  %34 = add nsw i64 %27, %33
  store i64 %34, ptr %14, align 8, !tbaa !5
  %35 = add nuw nsw i64 %.01213, 1
  %exitcond.not = icmp eq i64 %35, %.014
  br i1 %exitcond.not, label %.loopexit, label %scalar.ph, !llvm.loop !13

.loopexit:                                        ; preds = %scalar.ph, %middle.block
  %.lcssa = phi i64 [ %26, %middle.block ], [ %34, %scalar.ph ]
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.lcssa)
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef nonnull @.str.1)
  %38 = add nuw nsw i64 %.014, 1
  %39 = load i64, ptr %1, align 8, !tbaa !5
  %40 = icmp slt i64 %38, %39
  br i1 %40, label %.lr.ph, label %._crit_edge, !llvm.loop !14

._crit_edge:                                      ; preds = %.loopexit, %0
  call void @llvm.stackrestore.p0(ptr %5)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #6
  ret i32 0
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; 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 #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn
declare ptr @llvm.stacksave.p0() #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #3 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn
declare void @llvm.stackrestore.p0(ptr) #4

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i64 @llvm.vector.reduce.add.v2i64(<2 x i64>) #5

attributes #0 = { 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 #1 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 nocallback nofree nosync nounwind willreturn }
attributes #5 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10, !11, !12}
!10 = !{!"llvm.loop.mustprogress"}
!11 = !{!"llvm.loop.isvectorized", i32 1}
!12 = !{!"llvm.loop.unroll.runtime.disable"}
!13 = distinct !{!13, !10, !12, !11}
!14 = distinct !{!14, !10}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,LoopVectorizePass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass