; LLVM IR from TLE-MEC/Hack-CP-DSA :: Hackerearth/Alice and candies (solution2)

; 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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i32, align 4
  %6 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #3
  %7 = 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)
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #3
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  store i64 1, ptr %4, align 8, !tbaa !5
  br label %8

8:                                                ; preds = %18, %0
  %9 = load i64, ptr %4, align 8, !tbaa !5
  %10 = load i64, ptr %4, align 8, !tbaa !5
  %11 = mul nsw i64 %9, %10
  %12 = load i32, ptr %2, align 4, !tbaa !9
  %13 = sext i32 %12 to i64
  %14 = icmp sgt i64 %11, %13
  br i1 %14, label %15, label %17

15:                                               ; preds = %8
  %16 = load i64, ptr %4, align 8, !tbaa !5
  store i64 %16, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  br label %21

17:                                               ; preds = %8
  br label %18

18:                                               ; preds = %17
  %19 = load i64, ptr %4, align 8, !tbaa !5
  %20 = add nsw i64 %19, 1
  store i64 %20, ptr %4, align 8, !tbaa !5
  br label %8, !llvm.loop !11

21:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #3
  store i32 0, ptr %5, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #3
  %22 = load i32, ptr %2, align 4, !tbaa !9
  %23 = srem i32 %22, 2
  %24 = sub nsw i32 2, %23
  %25 = sext i32 %24 to i64
  store i64 %25, ptr %6, align 8, !tbaa !5
  br label %26

26:                                               ; preds = %46, %21
  %27 = load i64, ptr %6, align 8, !tbaa !5
  %28 = load i64, ptr %3, align 8, !tbaa !5
  %29 = icmp slt i64 %27, %28
  br i1 %29, label %31, label %30

30:                                               ; preds = %26
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #3
  br label %49

31:                                               ; preds = %26
  %32 = load i32, ptr %2, align 4, !tbaa !9
  %33 = sext i32 %32 to i64
  %34 = load i64, ptr %6, align 8, !tbaa !5
  %35 = load i64, ptr %6, align 8, !tbaa !5
  %36 = mul nsw i64 %34, %35
  %37 = sub nsw i64 %33, %36
  %38 = load i64, ptr %6, align 8, !tbaa !5
  %39 = mul nsw i64 2, %38
  %40 = srem i64 %37, %39
  %41 = icmp eq i64 %40, 0
  br i1 %41, label %42, label %45

42:                                               ; preds = %31
  %43 = load i32, ptr %5, align 4, !tbaa !9
  %44 = add nsw i32 %43, 1
  store i32 %44, ptr %5, align 4, !tbaa !9
  br label %45

45:                                               ; preds = %42, %31
  br label %46

46:                                               ; preds = %45
  %47 = load i64, ptr %6, align 8, !tbaa !5
  %48 = add nsw i64 %47, 2
  store i64 %48, ptr %6, align 8, !tbaa !5
  br label %26, !llvm.loop !13

49:                                               ; preds = %30
  %50 = load i32, ptr %5, align 4, !tbaa !9
  %51 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %50)
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #3
  %52 = load i32, ptr %1, align 4
  ret i32 %52
}

; 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 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

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 = { 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 long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !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" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; 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) #3
  %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 = sext i32 %3 to i64
  br label %5

5:                                                ; preds = %5, %0
  %.014 = phi i64 [ 1, %0 ], [ %8, %5 ]
  %6 = mul nuw nsw i64 %.014, %.014
  %7 = icmp sgt i64 %6, %4
  %8 = add nuw nsw i64 %.014, 1
  br i1 %7, label %9, label %5, !llvm.loop !9

9:                                                ; preds = %5
  %10 = srem i32 %3, 2
  %11 = sub nsw i32 2, %10
  %12 = zext nneg i32 %11 to i64
  %13 = icmp ugt i64 %.014, %12
  br i1 %13, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %9
  %.013.lcssa = phi i32 [ 0, %9 ], [ %spec.select, %.lr.ph ]
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %.013.lcssa)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #3
  ret i32 0

.lr.ph:                                           ; preds = %9, %.lr.ph
  %.017 = phi i64 [ %21, %.lr.ph ], [ %12, %9 ]
  %.01316 = phi i32 [ %spec.select, %.lr.ph ], [ 0, %9 ]
  %15 = mul nuw nsw i64 %.017, %.017
  %16 = sub nsw i64 %4, %15
  %17 = shl nuw nsw i64 %.017, 1
  %18 = srem i64 %16, %17
  %19 = icmp eq i64 %18, 0
  %20 = zext i1 %19 to i32
  %spec.select = add nuw nsw i32 %.01316, %20
  %21 = add nuw nsw i64 %.017, 2
  %22 = icmp ult i64 %21, %.014
  br i1 %22, label %.lr.ph, label %._crit_edge, !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 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

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 = { 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,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass