; LLVM IR from TLE-MEC/Hack-CP-DSA :: AtCoder/Staircase Sequences/solution.ll (Z5solvev)

; 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 uwtable
define dso_local void @_Z5solvev() #0 {
  %1 = alloca i64, align 8
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr %1) #3
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #3
  store i64 0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #3
  store i64 1, ptr %3, align 8, !tbaa !5
  br label %6

6:                                                ; preds = %31, %0
  %7 = load i64, ptr %3, align 8, !tbaa !5
  %8 = load i64, ptr %3, align 8, !tbaa !5
  %9 = add nsw i64 %8, 1
  %10 = mul nsw i64 %7, %9
  %11 = sdiv i64 %10, 2
  %12 = load i64, ptr %1, align 8, !tbaa !5
  %13 = icmp sle i64 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #3
  br label %34

15:                                               ; preds = %6
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  %16 = load i64, ptr %1, align 8, !tbaa !5
  %17 = load i64, ptr %3, align 8, !tbaa !5
  %18 = load i64, ptr %3, align 8, !tbaa !5
  %19 = sub nsw i64 %18, 1
  %20 = mul nsw i64 %17, %19
  %21 = sdiv i64 %20, 2
  %22 = sub nsw i64 %16, %21
  store i64 %22, ptr %4, align 8, !tbaa !5
  %23 = load i64, ptr %4, align 8, !tbaa !5
  %24 = load i64, ptr %3, align 8, !tbaa !5
  %25 = srem i64 %23, %24
  %26 = icmp eq i64 %25, 0
  br i1 %26, label %27, label %30

27:                                               ; preds = %15
  %28 = load i64, ptr %2, align 8, !tbaa !5
  %29 = add nsw i64 %28, 1
  store i64 %29, ptr %2, align 8, !tbaa !5
  br label %30

30:                                               ; preds = %27, %15
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  br label %31

31:                                               ; preds = %30
  %32 = load i64, ptr %3, align 8, !tbaa !5
  %33 = add nsw i64 %32, 1
  store i64 %33, ptr %3, align 8, !tbaa !5
  br label %6, !llvm.loop !9

34:                                               ; preds = %14
  %35 = load i64, ptr %2, align 8, !tbaa !5
  %36 = mul nsw i64 %35, 2
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %36)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %37, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %1) #3
  ret void
}

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

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #0 align 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #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 = distinct !{!9, !10}
!10 = !{!"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::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 uwtable
define dso_local void @_Z5solvev() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #3
  %2 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %3 = load i64, ptr %1, align 8, !tbaa !5
  %.not11 = icmp slt i64 %3, 1
  br i1 %.not11, label %._crit_edge, label %.lr.ph

._crit_edge.loopexit:                             ; preds = %.lr.ph
  %4 = shl nuw nsw i64 %spec.select, 1
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit, %0
  %.0.lcssa = phi i64 [ 0, %0 ], [ %4, %._crit_edge.loopexit ]
  %5 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.0.lcssa)
  %6 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %5, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #3
  ret void

.lr.ph:                                           ; preds = %0, %.lr.ph
  %7 = phi i64 [ %14, %.lr.ph ], [ 2, %0 ]
  %.013 = phi i64 [ %spec.select, %.lr.ph ], [ 0, %0 ]
  %.0912 = phi i64 [ %7, %.lr.ph ], [ 1, %0 ]
  %8 = add nsw i64 %.0912, -1
  %9 = mul nsw i64 %8, %.0912
  %.neg = sdiv i64 %9, -2
  %10 = add i64 %.neg, %3
  %11 = srem i64 %10, %.0912
  %12 = icmp eq i64 %11, 0
  %13 = zext i1 %12 to i64
  %spec.select = add nuw nsw i64 %.013, %13
  %14 = add nuw nsw i64 %7, 1
  %15 = mul nuw nsw i64 %14, %7
  %16 = lshr i64 %15, 1
  %.not = icmp ugt i64 %16, %3
  br i1 %.not, label %._crit_edge.loopexit, label %.lr.ph, !llvm.loop !9
}

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

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #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 #0 align 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 nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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