; LLVM IR from TLE-MEC/Hack-CP-DSA :: Codechef/Factors Finding (solution)

; 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" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = 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 i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca ptr, align 8
  %5 = alloca i64, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #6
  store i32 0, ptr %3, align 4, !tbaa !5
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  %9 = load i32, ptr %2, align 4, !tbaa !5
  %10 = zext i32 %9 to i64
  %11 = call ptr @llvm.stacksave.p0()
  store ptr %11, ptr %4, align 8
  %12 = alloca i32, i64 %10, align 16
  store i64 %10, ptr %5, align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #6
  store i32 1, ptr %6, align 4, !tbaa !5
  br label %13

13:                                               ; preds = %31, %0
  %14 = load i32, ptr %6, align 4, !tbaa !5
  %15 = load i32, ptr %2, align 4, !tbaa !5
  %16 = icmp sle i32 %14, %15
  br i1 %16, label %18, label %17

17:                                               ; preds = %13
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #6
  br label %34

18:                                               ; preds = %13
  %19 = load i32, ptr %2, align 4, !tbaa !5
  %20 = load i32, ptr %6, align 4, !tbaa !5
  %21 = srem i32 %19, %20
  %22 = icmp eq i32 %21, 0
  br i1 %22, label %23, label %30

23:                                               ; preds = %18
  %24 = load i32, ptr %6, align 4, !tbaa !5
  %25 = load i32, ptr %3, align 4, !tbaa !5
  %26 = sext i32 %25 to i64
  %27 = getelementptr inbounds i32, ptr %12, i64 %26
  store i32 %24, ptr %27, align 4, !tbaa !5
  %28 = load i32, ptr %3, align 4, !tbaa !5
  %29 = add nsw i32 %28, 1
  store i32 %29, ptr %3, align 4, !tbaa !5
  br label %30

30:                                               ; preds = %23, %18
  br label %31

31:                                               ; preds = %30
  %32 = load i32, ptr %6, align 4, !tbaa !5
  %33 = add nsw i32 %32, 1
  store i32 %33, ptr %6, align 4, !tbaa !5
  br label %13, !llvm.loop !9

34:                                               ; preds = %17
  %35 = load i32, ptr %3, align 4, !tbaa !5
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %35)
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #6
  store i32 0, ptr %7, align 4, !tbaa !5
  br label %38

38:                                               ; preds = %50, %34
  %39 = load i32, ptr %7, align 4, !tbaa !5
  %40 = load i32, ptr %3, align 4, !tbaa !5
  %41 = icmp slt i32 %39, %40
  br i1 %41, label %43, label %42

42:                                               ; preds = %38
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #6
  br label %53

43:                                               ; preds = %38
  %44 = load i32, ptr %7, align 4, !tbaa !5
  %45 = sext i32 %44 to i64
  %46 = getelementptr inbounds i32, ptr %12, i64 %45
  %47 = load i32, ptr %46, align 4, !tbaa !5
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %47)
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %48, ptr noundef @.str)
  br label %50

50:                                               ; preds = %43
  %51 = load i32, ptr %7, align 4, !tbaa !5
  %52 = add nsw i32 %51, 1
  store i32 %52, ptr %7, align 4, !tbaa !5
  br label %38, !llvm.loop !11

53:                                               ; preds = %42
  store i32 0, ptr %1, align 4
  %54 = load ptr, ptr %4, align 8
  call void @llvm.stackrestore.p0(ptr %54)
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  %55 = load i32, ptr %1, align 4
  ret i32 %55
}

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

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn
declare ptr @llvm.stacksave.p0() #3

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

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #4 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #5

; 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) #5

; Function Attrs: nocallback nofree nosync nounwind willreturn
declare void @llvm.stackrestore.p0(ptr) #3

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 = { "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 }
attributes #4 = { 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 #5 = { 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 #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 = !{!"int", !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_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" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = 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 i32, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #6
  %2 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %3 = load i32, ptr %1, align 4, !tbaa !5
  %4 = zext i32 %3 to i64
  %5 = call ptr @llvm.stacksave.p0()
  %6 = alloca i32, i64 %4, align 16
  %7 = load i32, ptr %1, align 4, !tbaa !5
  %.not15 = icmp slt i32 %7, 1
  br i1 %.not15, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %0
  %xtraiter = and i32 %7, 1
  %8 = icmp eq i32 %7, 1
  br i1 %8, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i32 %7, 2147483646
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %31, %.lr.ph.preheader
  %.1.lcssa.ph = phi i32 [ poison, %.lr.ph.preheader ], [ %.1.1, %31 ]
  %.01217.unr = phi i32 [ 1, %.lr.ph.preheader ], [ %32, %31 ]
  %.01316.unr = phi i32 [ 0, %.lr.ph.preheader ], [ %.1.1, %31 ]
  %lcmp.mod.not = icmp eq i32 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa
  %9 = urem i32 %7, %.01217.unr
  %10 = icmp eq i32 %9, 0
  br i1 %10, label %11, label %._crit_edge

11:                                               ; preds = %.lr.ph.epil
  %12 = sext i32 %.01316.unr to i64
  %13 = getelementptr inbounds i32, ptr %6, i64 %12
  store i32 %.01217.unr, ptr %13, align 4, !tbaa !5
  %14 = add nsw i32 %.01316.unr, 1
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %11, %.lr.ph.epil, %0
  %.013.lcssa = phi i32 [ 0, %0 ], [ %.1.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %14, %11 ], [ %.01316.unr, %.lr.ph.epil ]
  %15 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %.013.lcssa)
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %15, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %17 = icmp sgt i32 %.013.lcssa, 0
  br i1 %17, label %.lr.ph20.preheader, label %._crit_edge21

.lr.ph20.preheader:                               ; preds = %._crit_edge
  %wide.trip.count = zext nneg i32 %.013.lcssa to i64
  br label %.lr.ph20

.lr.ph:                                           ; preds = %31, %.lr.ph.preheader.new
  %.01217 = phi i32 [ 1, %.lr.ph.preheader.new ], [ %32, %31 ]
  %.01316 = phi i32 [ 0, %.lr.ph.preheader.new ], [ %.1.1, %31 ]
  %niter = phi i32 [ 0, %.lr.ph.preheader.new ], [ %niter.next.1, %31 ]
  %18 = urem i32 %7, %.01217
  %19 = icmp eq i32 %18, 0
  br i1 %19, label %20, label %.lr.ph.1

20:                                               ; preds = %.lr.ph
  %21 = sext i32 %.01316 to i64
  %22 = getelementptr inbounds i32, ptr %6, i64 %21
  store i32 %.01217, ptr %22, align 4, !tbaa !5
  %23 = add nsw i32 %.01316, 1
  br label %.lr.ph.1

.lr.ph.1:                                         ; preds = %.lr.ph, %20
  %.1 = phi i32 [ %23, %20 ], [ %.01316, %.lr.ph ]
  %24 = add nuw i32 %.01217, 1
  %25 = urem i32 %7, %24
  %26 = icmp eq i32 %25, 0
  br i1 %26, label %27, label %31

27:                                               ; preds = %.lr.ph.1
  %28 = sext i32 %.1 to i64
  %29 = getelementptr inbounds i32, ptr %6, i64 %28
  store i32 %24, ptr %29, align 4, !tbaa !5
  %30 = add nsw i32 %.1, 1
  br label %31

31:                                               ; preds = %27, %.lr.ph.1
  %.1.1 = phi i32 [ %30, %27 ], [ %.1, %.lr.ph.1 ]
  %32 = add nuw i32 %.01217, 2
  %niter.next.1 = add i32 %niter, 2
  %niter.ncmp.1 = icmp eq i32 %niter.next.1, %unroll_iter
  br i1 %niter.ncmp.1, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph, !llvm.loop !9

._crit_edge21:                                    ; preds = %.lr.ph20, %._crit_edge
  call void @llvm.stackrestore.p0(ptr %5)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #6
  ret i32 0

.lr.ph20:                                         ; preds = %.lr.ph20.preheader, %.lr.ph20
  %indvars.iv = phi i64 [ 0, %.lr.ph20.preheader ], [ %indvars.iv.next, %.lr.ph20 ]
  %33 = getelementptr inbounds i32, ptr %6, i64 %indvars.iv
  %34 = load i32, ptr %33, align 4, !tbaa !5
  %35 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %34)
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %35, ptr noundef nonnull @.str)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond23.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond23.not, label %._crit_edge21, label %.lr.ph20, !llvm.loop !11
}

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

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 nocallback nofree nosync nounwind willreturn
declare ptr @llvm.stacksave.p0() #3

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

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #4 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #5

; 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 #5

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn
declare void @llvm.stackrestore.p0(ptr) #3

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 = { "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 }
attributes #4 = { 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 #5 = { 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 #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 = !{!"int", !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}


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