; LLVM IR from ahr9n/psolving-paradigms :: 3.binary-search (Kattis outofsorts - Out of Sorts)

; 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 i64, align 8
@m = external dso_local global i64, align 8
@a = external dso_local global i64, align 8
@c = external dso_local global i64, align 8
@x = external dso_local global [1000005 x i64], align 16
@ans = external dso_local global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_Z2okx(i64 noundef) #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #1 {
  %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 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @n)
  %11 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %10, ptr noundef nonnull align 8 dereferenceable(8) @m)
  %12 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %11, ptr noundef nonnull align 8 dereferenceable(8) @a)
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %12, ptr noundef nonnull align 8 dereferenceable(8) @c)
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %13, ptr noundef nonnull align 8 dereferenceable(8) @x)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #5
  store i32 1, ptr %2, align 4, !tbaa !8
  br label %15

15:                                               ; preds = %36, %0
  %16 = load i32, ptr %2, align 4, !tbaa !8
  %17 = sext i32 %16 to i64
  %18 = load i64, ptr @n, align 8, !tbaa !11
  %19 = icmp sle i64 %17, %18
  br i1 %19, label %21, label %20

20:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #5
  br label %39

21:                                               ; preds = %15
  %22 = load i64, ptr @a, align 8, !tbaa !11
  %23 = load i32, ptr %2, align 4, !tbaa !8
  %24 = sub nsw i32 %23, 1
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %25
  %27 = load i64, ptr %26, align 8, !tbaa !11
  %28 = mul nsw i64 %22, %27
  %29 = load i64, ptr @c, align 8, !tbaa !11
  %30 = add nsw i64 %28, %29
  %31 = load i64, ptr @m, align 8, !tbaa !11
  %32 = srem i64 %30, %31
  %33 = load i32, ptr %2, align 4, !tbaa !8
  %34 = sext i32 %33 to i64
  %35 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %34
  store i64 %32, ptr %35, align 8, !tbaa !11
  br label %36

36:                                               ; preds = %21
  %37 = load i32, ptr %2, align 4, !tbaa !8
  %38 = add nsw i32 %37, 1
  store i32 %38, ptr %2, align 4, !tbaa !8
  br label %15, !llvm.loop !13

39:                                               ; preds = %20
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #5
  store i32 1, ptr %3, align 4, !tbaa !8
  br label %40

40:                                               ; preds = %56, %39
  %41 = load i32, ptr %3, align 4, !tbaa !8
  %42 = sext i32 %41 to i64
  %43 = load i64, ptr @n, align 8, !tbaa !11
  %44 = icmp sle i64 %42, %43
  br i1 %44, label %46, label %45

45:                                               ; preds = %40
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #5
  br label %59

46:                                               ; preds = %40
  %47 = load i32, ptr %3, align 4, !tbaa !8
  %48 = sext i32 %47 to i64
  %49 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %48
  %50 = load i64, ptr %49, align 8, !tbaa !11
  %51 = call noundef zeroext i1 @_Z2okx(i64 noundef %50)
  br i1 %51, label %52, label %55

52:                                               ; preds = %46
  %53 = load i64, ptr @ans, align 8, !tbaa !11
  %54 = add nsw i64 %53, 1
  store i64 %54, ptr @ans, align 8, !tbaa !11
  br label %55

55:                                               ; preds = %52, %46
  br label %56

56:                                               ; preds = %55
  %57 = load i32, ptr %3, align 4, !tbaa !8
  %58 = add nsw i32 %57, 1
  store i32 %58, ptr %3, align 4, !tbaa !8
  br label %40, !llvm.loop !15

59:                                               ; preds = %45
  %60 = load i64, ptr @ans, align 8, !tbaa !11
  %61 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %60)
  ret i32 0
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #0 align 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)) #3 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #4

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

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 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 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 memory(argmem: readwrite) }
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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long long", !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 i64, align 8
@m = external dso_local global i64, align 8
@a = external dso_local global i64, align 8
@c = external dso_local global i64, align 8
@x = external dso_local global [1000005 x i64], align 16
@ans = external dso_local local_unnamed_addr global i64, align 8
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_Z2okx(i64 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 = 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) @n)
  %8 = 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) @m)
  %9 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 8 dereferenceable(8) @a)
  %10 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %9, ptr noundef nonnull align 8 dereferenceable(8) @c)
  %11 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %10, ptr noundef nonnull align 8 dereferenceable(8) @x)
  %12 = load i64, ptr @n, align 8, !tbaa !8
  %.not11 = icmp slt i64 %12, 1
  br i1 %.not11, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0
  %13 = load i64, ptr @a, align 8, !tbaa !8
  %14 = load i64, ptr @c, align 8, !tbaa !8
  %15 = load i64, ptr @m, align 8, !tbaa !8
  %.pre = load i64, ptr @x, align 16, !tbaa !8
  %xtraiter = and i64 %12, 1
  %16 = icmp eq i64 %12, 1
  br i1 %16, label %.preheader.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %12, 9223372036854775806
  br label %21

.preheader.unr-lcssa:                             ; preds = %21, %.lr.ph
  %.unr = phi i64 [ %.pre, %.lr.ph ], [ %29, %21 ]
  %indvars.iv.unr = phi i64 [ 1, %.lr.ph ], [ %indvars.iv.next.1, %21 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %.preheader, label %.preheader.epilog-lcssa

.preheader.epilog-lcssa:                          ; preds = %.preheader.unr-lcssa
  %17 = mul nsw i64 %.unr, %13
  %18 = add nsw i64 %17, %14
  %19 = srem i64 %18, %15
  %20 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %indvars.iv.unr
  store i64 %19, ptr %20, align 8, !tbaa !8
  br label %.preheader

.preheader:                                       ; preds = %.preheader.unr-lcssa, %.preheader.epilog-lcssa
  br i1 %.not11, label %._crit_edge, label %.lr.ph15

21:                                               ; preds = %21, %.lr.ph.new
  %22 = phi i64 [ %.pre, %.lr.ph.new ], [ %29, %21 ]
  %indvars.iv = phi i64 [ 1, %.lr.ph.new ], [ %indvars.iv.next.1, %21 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.1, %21 ]
  %23 = mul nsw i64 %22, %13
  %24 = add nsw i64 %23, %14
  %25 = srem i64 %24, %15
  %26 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %indvars.iv
  store i64 %25, ptr %26, align 8, !tbaa !8
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %27 = mul nsw i64 %25, %13
  %28 = add nsw i64 %27, %14
  %29 = srem i64 %28, %15
  %30 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %indvars.iv.next
  store i64 %29, ptr %30, align 8, !tbaa !8
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %niter.next.1 = add i64 %niter, 2
  %niter.ncmp.1 = icmp eq i64 %niter.next.1, %unroll_iter
  br i1 %niter.ncmp.1, label %.preheader.unr-lcssa, label %21, !llvm.loop !11

._crit_edge:                                      ; preds = %39, %0, %.preheader
  %31 = load i64, ptr @ans, align 8, !tbaa !8
  %32 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %31)
  ret i32 0

.lr.ph15:                                         ; preds = %.preheader, %39
  %indvars.iv17 = phi i64 [ %indvars.iv.next18, %39 ], [ 1, %.preheader ]
  %33 = getelementptr inbounds [1000005 x i64], ptr @x, i64 0, i64 %indvars.iv17
  %34 = load i64, ptr %33, align 8, !tbaa !8
  %35 = tail call noundef zeroext i1 @_Z2okx(i64 noundef %34)
  br i1 %35, label %36, label %39

36:                                               ; preds = %.lr.ph15
  %37 = load i64, ptr @ans, align 8, !tbaa !8
  %38 = add nsw i64 %37, 1
  store i64 %38, ptr @ans, align 8, !tbaa !8
  br label %39

39:                                               ; preds = %.lr.ph15, %36
  %indvars.iv.next18 = add nuw nsw i64 %indvars.iv17, 1
  %40 = load i64, ptr @n, align 8, !tbaa !8
  %.not10.not = icmp sgt i64 %40, %indvars.iv17
  br i1 %.not10.not, label %.lr.ph15, label %._crit_edge, !llvm.loop !13
}

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 #0 align 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 #3 align 2

; 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 #3 align 2

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 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 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" }

!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 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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