; LLVM IR from AdarshGaur/Competitive-Programming :: Codeforces/Codeforces Round #802 (Div. 2)/A. Optimal Path.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" }

@.str = external hidden unnamed_addr constant [2 x i8], align 1
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; 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) #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5solvev() #2 {
  %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
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #3
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %6 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) %5, ptr noundef nonnull align 8 dereferenceable(8) %2)
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #3
  store i64 0, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  store i64 1, ptr %4, align 8, !tbaa !5
  br label %7

7:                                                ; preds = %18, %0
  %8 = load i64, ptr %4, align 8, !tbaa !5
  %9 = load i64, ptr %1, align 8, !tbaa !5
  %10 = icmp sle i64 %8, %9
  br i1 %10, label %12, label %11

11:                                               ; preds = %7
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  br label %21

12:                                               ; preds = %7
  %13 = load i64, ptr %2, align 8, !tbaa !5
  %14 = load i64, ptr %4, align 8, !tbaa !5
  %15 = mul nsw i64 %13, %14
  %16 = load i64, ptr %3, align 8, !tbaa !5
  %17 = add nsw i64 %16, %15
  store i64 %17, ptr %3, align 8, !tbaa !5
  br label %18

18:                                               ; preds = %12
  %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 %7, !llvm.loop !9

21:                                               ; preds = %11
  %22 = load i64, ptr %2, align 8, !tbaa !5
  %23 = load i64, ptr %2, align 8, !tbaa !5
  %24 = sub nsw i64 %23, 1
  %25 = mul nsw i64 %22, %24
  %26 = sdiv i64 %25, 2
  %27 = load i64, ptr %3, align 8, !tbaa !5
  %28 = add nsw i64 %27, %26
  store i64 %28, ptr %3, align 8, !tbaa !5
  %29 = load i64, ptr %3, align 8, !tbaa !5
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %29)
  %31 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %30, ptr noundef @.str)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #3
  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: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

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

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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", !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" }

@.str = external hidden unnamed_addr constant [2 x i8], align 1
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; 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 #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5solvev() local_unnamed_addr #2 {
  %1 = alloca i64, align 8
  %2 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #3
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #3
  %3 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %4 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16) %3, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %5 = load i64, ptr %1, align 8, !tbaa !5
  %.not7 = icmp slt i64 %5, 1
  %.pre = load i64, ptr %2, align 8, !tbaa !5
  br i1 %.not7, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0
  %6 = shl nuw i64 %5, 1
  %7 = add nsw i64 %5, -1
  %8 = zext nneg i64 %7 to i65
  %9 = add nsw i64 %5, -2
  %10 = zext i64 %9 to i65
  %11 = mul i65 %8, %10
  %12 = lshr i65 %11, 1
  %13 = trunc nuw i65 %12 to i64
  %14 = add i64 %6, %13
  %15 = add i64 %14, -1
  %16 = mul i64 %.pre, %15
  br label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %0
  %.06.lcssa = phi i64 [ 0, %0 ], [ %16, %.lr.ph ]
  %17 = add nsw i64 %.pre, -1
  %18 = mul nsw i64 %17, %.pre
  %19 = sdiv i64 %18, 2
  %20 = add nsw i64 %19, %.06.lcssa
  %21 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEl(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %20)
  %22 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %21, ptr noundef nonnull @.str)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #3
  ret void
}

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERl(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

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

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}


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