; LLVM IR from ahr9n/psolving-paradigms :: 1.brute-force/1.2.recursive-brute-force-(backtracking) (Gym 325692J - Knapsack)

; 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
@w = external dso_local global i32, align 4
@tot = external dso_local global i32, align 4
@ans = external dso_local global i32, align 4
@a = external dso_local global [109 x [2 x i64]], align 16
@dp = external dso_local global [109 x [100009 x i64]], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3solii(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
  store i32 0, ptr %1, align 4
  %4 = 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)
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %4, ptr noundef nonnull align 4 dereferenceable(4) @w)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  store i32 0, ptr %2, align 4, !tbaa !5
  br label %6

6:                                                ; preds = %31, %0
  %7 = load i32, ptr %2, align 4, !tbaa !5
  %8 = load i32, ptr @n, align 4, !tbaa !5
  %9 = icmp slt i32 %7, %8
  br i1 %9, label %11, label %10

10:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  br label %34

11:                                               ; preds = %6
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = sext i32 %12 to i64
  %14 = getelementptr inbounds [109 x [2 x i64]], ptr @a, i64 0, i64 %13
  %15 = getelementptr inbounds [2 x i64], ptr %14, i64 0, i64 0
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %15)
  %17 = load i32, ptr %2, align 4, !tbaa !5
  %18 = sext i32 %17 to i64
  %19 = getelementptr inbounds [109 x [2 x i64]], ptr @a, i64 0, i64 %18
  %20 = getelementptr inbounds [2 x i64], ptr %19, i64 0, i64 1
  %21 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %16, ptr noundef nonnull align 8 dereferenceable(8) %20)
  %22 = load i32, ptr %2, align 4, !tbaa !5
  %23 = sext i32 %22 to i64
  %24 = getelementptr inbounds [109 x [2 x i64]], ptr @a, i64 0, i64 %23
  %25 = getelementptr inbounds [2 x i64], ptr %24, i64 0, i64 1
  %26 = load i64, ptr %25, align 8, !tbaa !9
  %27 = load i32, ptr @tot, align 4, !tbaa !5
  %28 = sext i32 %27 to i64
  %29 = add nsw i64 %28, %26
  %30 = trunc i64 %29 to i32
  store i32 %30, ptr @tot, align 4, !tbaa !5
  br label %31

31:                                               ; preds = %11
  %32 = load i32, ptr %2, align 4, !tbaa !5
  %33 = add nsw i32 %32, 1
  store i32 %33, ptr %2, align 4, !tbaa !5
  br label %6, !llvm.loop !11

34:                                               ; preds = %10
  call void @llvm.memset.p0.i64(ptr align 16 @dp, i8 -1, i64 87207848, i1 false)
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  store i32 0, ptr %3, align 4, !tbaa !5
  br label %35

35:                                               ; preds = %49, %34
  %36 = load i32, ptr %3, align 4, !tbaa !5
  %37 = load i32, ptr @tot, align 4, !tbaa !5
  %38 = icmp sle i32 %36, %37
  br i1 %38, label %40, label %39

39:                                               ; preds = %35
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  br label %52

40:                                               ; preds = %35
  %41 = load i32, ptr %3, align 4, !tbaa !5
  %42 = call noundef i64 @_Z3solii(i32 noundef 0, i32 noundef %41)
  %43 = load i32, ptr @w, align 4, !tbaa !5
  %44 = sext i32 %43 to i64
  %45 = icmp sle i64 %42, %44
  br i1 %45, label %46, label %48

46:                                               ; preds = %40
  %47 = load i32, ptr %3, align 4, !tbaa !5
  store i32 %47, ptr @ans, align 4, !tbaa !5
  br label %48

48:                                               ; preds = %46, %40
  br label %49

49:                                               ; preds = %48
  %50 = load i32, ptr %3, align 4, !tbaa !5
  %51 = add nsw i32 %50, 1
  store i32 %51, ptr %3, align 4, !tbaa !5
  br label %35, !llvm.loop !13

52:                                               ; preds = %39
  %53 = load i32, ptr @ans, align 4, !tbaa !5
  %54 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %53)
  %55 = load i32, ptr %1, align 4
  ret i32 %55
}

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) #4

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #3

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 = { nocallback nofree nounwind willreturn memory(argmem: write) }
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 = !{!"long long", !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_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
@w = external dso_local global i32, align 4
@tot = external dso_local local_unnamed_addr global i32, align 4
@ans = external dso_local local_unnamed_addr global i32, align 4
@a = external dso_local global [109 x [2 x i64]], align 16
@dp = external dso_local local_unnamed_addr global [109 x [100009 x i64]], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3solii(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 nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @n)
  %2 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %1, ptr noundef nonnull align 4 dereferenceable(4) @w)
  %3 = load i32, ptr @n, align 4, !tbaa !5
  %4 = icmp sgt i32 %3, 0
  br i1 %4, label %.lr.ph, label %.._crit_edge_crit_edge

.._crit_edge_crit_edge:                           ; preds = %0
  %.pre = load i32, ptr @tot, align 4, !tbaa !5
  br label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %.._crit_edge_crit_edge
  %5 = phi i32 [ %.pre, %.._crit_edge_crit_edge ], [ %13, %.lr.ph ]
  tail call void @llvm.memset.p0.i64(ptr noundef nonnull align 16 dereferenceable(87207848) @dp, i8 -1, i64 87207848, i1 false)
  %.not13 = icmp slt i32 %5, 0
  br i1 %.not13, label %._crit_edge17, label %.lr.ph16

.lr.ph:                                           ; preds = %0, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 0, %0 ]
  %6 = getelementptr inbounds [109 x [2 x i64]], ptr @a, i64 0, i64 %indvars.iv
  %7 = 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) %6)
  %8 = getelementptr inbounds i8, ptr %6, i64 8
  %9 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %7, ptr noundef nonnull align 8 dereferenceable(8) %8)
  %10 = load i64, ptr %8, align 8, !tbaa !9
  %11 = load i32, ptr @tot, align 4, !tbaa !5
  %12 = trunc i64 %10 to i32
  %13 = add i32 %11, %12
  store i32 %13, ptr @tot, align 4, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %14 = load i32, ptr @n, align 4, !tbaa !5
  %15 = sext i32 %14 to i64
  %16 = icmp slt i64 %indvars.iv.next, %15
  br i1 %16, label %.lr.ph, label %._crit_edge, !llvm.loop !11

._crit_edge17:                                    ; preds = %23, %._crit_edge
  %17 = load i32, ptr @ans, align 4, !tbaa !5
  %18 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %17)
  ret i32 0

.lr.ph16:                                         ; preds = %._crit_edge, %23
  %.014 = phi i32 [ %24, %23 ], [ 0, %._crit_edge ]
  %19 = tail call noundef i64 @_Z3solii(i32 noundef 0, i32 noundef %.014)
  %20 = load i32, ptr @w, align 4, !tbaa !5
  %21 = sext i32 %20 to i64
  %.not11 = icmp sgt i64 %19, %21
  br i1 %.not11, label %23, label %22

22:                                               ; preds = %.lr.ph16
  store i32 %.014, ptr @ans, align 4, !tbaa !5
  br label %23

23:                                               ; preds = %.lr.ph16, %22
  %24 = add nuw nsw i32 %.014, 1
  %25 = load i32, ptr @tot, align 4, !tbaa !5
  %.not.not = icmp slt i32 %.014, %25
  br i1 %.not.not, label %.lr.ph16, label %._crit_edge17, !llvm.loop !13
}

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) #3

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #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 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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