; LLVM IR from ahr9n/psolving-paradigms :: 4.dynamic-programming/04.knapsack/CodeForces 1057C - Tanya and Colored Candies.ll (Z2dpii)

; 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::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }

@n = external dso_local global i32, align 4
@k = external dso_local global i32, align 4
@a = external dso_local global [55 x i32], align 16
@memo = external dso_local global [55 x [2055 x i32]], align 16
@_Z5colorB5cxx11 = external dso_local global %"class.std::__cxx11::basic_string", align 8

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  %9 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %10 = load i32, ptr %5, align 4, !tbaa !5
  %11 = load i32, ptr @k, align 4, !tbaa !5
  %12 = icmp sge i32 %10, %11
  br i1 %12, label %13, label %14

13:                                               ; preds = %2
  store i32 0, ptr %3, align 4
  br label %83

14:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #5
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = sext i32 %15 to i64
  %17 = getelementptr inbounds [55 x [2055 x i32]], ptr @memo, i64 0, i64 %16
  %18 = load i32, ptr %5, align 4, !tbaa !5
  %19 = sext i32 %18 to i64
  %20 = getelementptr inbounds [2055 x i32], ptr %17, i64 0, i64 %19
  store ptr %20, ptr %6, align 8, !tbaa !9
  %21 = load ptr, ptr %6, align 8, !tbaa !9
  %22 = load i32, ptr %21, align 4, !tbaa !5
  %23 = xor i32 %22, -1
  %24 = icmp ne i32 %23, 0
  br i1 %24, label %25, label %28

25:                                               ; preds = %14
  %26 = load ptr, ptr %6, align 8, !tbaa !9
  %27 = load i32, ptr %26, align 4, !tbaa !5
  store i32 %27, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %82

28:                                               ; preds = %14
  %29 = load ptr, ptr %6, align 8, !tbaa !9
  store i32 1061109567, ptr %29, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #5
  store i32 0, ptr %8, align 4, !tbaa !5
  br label %30

30:                                               ; preds = %76, %28
  %31 = load i32, ptr %8, align 4, !tbaa !5
  %32 = load i32, ptr @n, align 4, !tbaa !5
  %33 = icmp slt i32 %31, %32
  br i1 %33, label %35, label %34

34:                                               ; preds = %30
  store i32 2, ptr %7, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #5
  br label %79

35:                                               ; preds = %30
  %36 = load i32, ptr %8, align 4, !tbaa !5
  %37 = sext i32 %36 to i64
  %38 = getelementptr inbounds [55 x i32], ptr @a, i64 0, i64 %37
  %39 = load i32, ptr %38, align 4, !tbaa !5
  %40 = load i32, ptr %4, align 4, !tbaa !5
  %41 = sext i32 %40 to i64
  %42 = getelementptr inbounds [55 x i32], ptr @a, i64 0, i64 %41
  %43 = load i32, ptr %42, align 4, !tbaa !5
  %44 = icmp sgt i32 %39, %43
  br i1 %44, label %45, label %75

45:                                               ; preds = %35
  %46 = load i32, ptr %4, align 4, !tbaa !5
  %47 = sext i32 %46 to i64
  %48 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32) @_Z5colorB5cxx11, i64 noundef %47)
  %49 = load i8, ptr %48, align 1, !tbaa !11
  %50 = sext i8 %49 to i32
  %51 = load i32, ptr %8, align 4, !tbaa !5
  %52 = sext i32 %51 to i64
  %53 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32) @_Z5colorB5cxx11, i64 noundef %52)
  %54 = load i8, ptr %53, align 1, !tbaa !11
  %55 = sext i8 %54 to i32
  %56 = icmp ne i32 %50, %55
  br i1 %56, label %57, label %75

57:                                               ; preds = %45
  %58 = load ptr, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #5
  %59 = load i32, ptr %4, align 4, !tbaa !5
  %60 = load i32, ptr %8, align 4, !tbaa !5
  %61 = sub nsw i32 %59, %60
  %62 = call i32 @llvm.abs.i32(i32 %61, i1 true)
  %63 = load i32, ptr %8, align 4, !tbaa !5
  %64 = load i32, ptr %8, align 4, !tbaa !5
  %65 = sext i32 %64 to i64
  %66 = getelementptr inbounds [55 x i32], ptr @a, i64 0, i64 %65
  %67 = load i32, ptr %66, align 4, !tbaa !5
  %68 = load i32, ptr %5, align 4, !tbaa !5
  %69 = add nsw i32 %67, %68
  %70 = call noundef i32 @_Z2dpii(i32 noundef %63, i32 noundef %69)
  %71 = add nsw i32 %62, %70
  store i32 %71, ptr %9, align 4, !tbaa !5
  %72 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %58, ptr noundef nonnull align 4 dereferenceable(4) %9)
  %73 = load i32, ptr %72, align 4, !tbaa !5
  %74 = load ptr, ptr %6, align 8, !tbaa !9
  store i32 %73, ptr %74, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #5
  br label %75

75:                                               ; preds = %57, %45, %35
  br label %76

76:                                               ; preds = %75
  %77 = load i32, ptr %8, align 4, !tbaa !5
  %78 = add nsw i32 %77, 1
  store i32 %78, ptr %8, align 4, !tbaa !5
  br label %30, !llvm.loop !12

79:                                               ; preds = %34
  %80 = load ptr, ptr %6, align 8, !tbaa !9
  %81 = load i32, ptr %80, align 4, !tbaa !5
  store i32 %81, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %82

82:                                               ; preds = %79, %25
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #5
  br label %83

83:                                               ; preds = %82, %13
  %84 = load i32, ptr %3, align 4
  ret i32 %84
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32), i64 noundef) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) #3

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i32 @llvm.abs.i32(i32, i1 immarg) #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 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 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 #3 = { 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 #4 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = !{!7, !7, i64 0}
!12 = distinct !{!12, !13}
!13 = !{!"llvm.loop.mustprogress"}


; 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::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }

@n = external dso_local local_unnamed_addr global i32, align 4
@k = external dso_local local_unnamed_addr global i32, align 4
@a = external dso_local local_unnamed_addr global [55 x i32], align 16
@memo = external dso_local global [55 x [2055 x i32]], align 16
@_Z5colorB5cxx11 = external dso_local global %"class.std::__cxx11::basic_string", align 8

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = alloca i32, align 4
  %4 = load i32, ptr @k, align 4, !tbaa !5
  %.not = icmp sgt i32 %4, %1
  br i1 %.not, label %5, label %._crit_edge

5:                                                ; preds = %2
  %6 = sext i32 %0 to i64
  %7 = sext i32 %1 to i64
  %8 = getelementptr inbounds [55 x [2055 x i32]], ptr @memo, i64 0, i64 %6, i64 %7
  %9 = load i32, ptr %8, align 4, !tbaa !5
  %.not22 = icmp eq i32 %9, -1
  br i1 %.not22, label %10, label %._crit_edge

10:                                               ; preds = %5
  store i32 1061109567, ptr %8, align 4, !tbaa !5
  %11 = load i32, ptr @n, align 4, !tbaa !5
  %12 = icmp sgt i32 %11, 0
  br i1 %12, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %10
  %13 = getelementptr inbounds [55 x i32], ptr @a, i64 0, i64 %6
  br label %14

._crit_edge.loopexit:                             ; preds = %35
  %.pre = load i32, ptr %8, align 4, !tbaa !5
  br label %._crit_edge

14:                                               ; preds = %.lr.ph, %35
  %indvars.iv = phi i64 [ 0, %.lr.ph ], [ %indvars.iv.next, %35 ]
  %15 = getelementptr inbounds [55 x i32], ptr @a, i64 0, i64 %indvars.iv
  %16 = load i32, ptr %15, align 4, !tbaa !5
  %17 = load i32, ptr %13, align 4, !tbaa !5
  %18 = icmp sgt i32 %16, %17
  br i1 %18, label %19, label %35

19:                                               ; preds = %14
  %20 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32) @_Z5colorB5cxx11, i64 noundef %6)
  %21 = load i8, ptr %20, align 1, !tbaa !9
  %22 = call noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32) @_Z5colorB5cxx11, i64 noundef %indvars.iv)
  %23 = load i8, ptr %22, align 1, !tbaa !9
  %.not23 = icmp eq i8 %21, %23
  br i1 %.not23, label %35, label %24

24:                                               ; preds = %19
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #4
  %25 = trunc i64 %indvars.iv to i32
  %26 = sub i32 %0, %25
  %27 = call i32 @llvm.abs.i32(i32 %26, i1 true)
  %28 = load i32, ptr %15, align 4, !tbaa !5
  %29 = add nsw i32 %28, %1
  %30 = trunc nuw nsw i64 %indvars.iv to i32
  %31 = call noundef i32 @_Z2dpii(i32 noundef %30, i32 noundef %29)
  %32 = add nsw i32 %31, %27
  store i32 %32, ptr %3, align 4, !tbaa !5
  %33 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %8, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %34 = load i32, ptr %33, align 4, !tbaa !5
  store i32 %34, ptr %8, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #4
  br label %35

35:                                               ; preds = %14, %19, %24
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %36 = load i32, ptr @n, align 4, !tbaa !5
  %37 = sext i32 %36 to i64
  %38 = icmp slt i64 %indvars.iv.next, %37
  br i1 %38, label %14, label %._crit_edge.loopexit, !llvm.loop !10

._crit_edge:                                      ; preds = %10, %._crit_edge.loopexit, %5, %2
  %.1 = phi i32 [ 0, %2 ], [ %9, %5 ], [ %.pre, %._crit_edge.loopexit ], [ 1061109567, %10 ]
  ret i32 %.1
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef nonnull align 1 dereferenceable(1) ptr @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEixEm(ptr noundef nonnull align 8 dereferenceable(32), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i32 @llvm.abs.i32(i32, i1 immarg) #3

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

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 nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #4 = { 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!7, !7, i64 0}
!10 = distinct !{!10, !11}
!11 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LICMPass,LoopRotatePass,LoopSimplifyPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass