; LLVM IR from tangjz/acm-icpc :: codeforces/complete (235B)

; 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 i32, align 4
@pi = external dso_local global x86_fp80, align 16
@comb = external dso_local global x86_fp80, align 16
@ans = external dso_local global x86_fp80, align 16
@_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
  store i32 0, ptr %1, align 4
  %2 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %3 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @n)
  br label %4

4:                                                ; preds = %8, %0
  %5 = load i32, ptr @n, align 4, !tbaa !5
  %6 = add nsw i32 %5, -1
  store i32 %6, ptr @n, align 4, !tbaa !5
  %7 = icmp ne i32 %5, 0
  br i1 %7, label %8, label %21

8:                                                ; preds = %4
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERe(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 16 dereferenceable(16) @pi)
  %10 = load x86_fp80, ptr @comb, align 16, !tbaa !9
  %11 = load x86_fp80, ptr @pi, align 16, !tbaa !9
  %12 = fmul x86_fp80 %10, %11
  %13 = load x86_fp80, ptr @pi, align 16, !tbaa !9
  %14 = call x86_fp80 @llvm.fmuladd.f80(x86_fp80 %12, x86_fp80 0xK40008000000000000000, x86_fp80 %13)
  %15 = load x86_fp80, ptr @ans, align 16, !tbaa !9
  %16 = fadd x86_fp80 %15, %14
  store x86_fp80 %16, ptr @ans, align 16, !tbaa !9
  %17 = load x86_fp80, ptr @comb, align 16, !tbaa !9
  %18 = load x86_fp80, ptr @pi, align 16, !tbaa !9
  %19 = load x86_fp80, ptr @pi, align 16, !tbaa !9
  %20 = call x86_fp80 @llvm.fmuladd.f80(x86_fp80 %17, x86_fp80 %18, x86_fp80 %19)
  store x86_fp80 %20, ptr @comb, align 16, !tbaa !9
  br label %4, !llvm.loop !11

21:                                               ; preds = %4
  %22 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !13
  %23 = getelementptr i8, ptr %22, i64 -24
  %24 = load i64, ptr %23, align 8
  %25 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %24
  %26 = call noundef i64 @_ZNSt8ios_base9precisionEl(ptr noundef nonnull align 8 dereferenceable(216) %25, i64 noundef 17)
  %27 = load x86_fp80, ptr @ans, align 16, !tbaa !9
  %28 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, x86_fp80 noundef %27)
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %28, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #1

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #1

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

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare x86_fp80 @llvm.fmuladd.f80(x86_fp80, x86_fp80, x86_fp80) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNSt8ios_base9precisionEl(ptr noundef nonnull align 8 dereferenceable(216), i64 noundef) #4 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8), x86_fp80 noundef) #2 align 2

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

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 = { "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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #4 = { 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 #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" }

!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 = !{!10, !10, i64 0}
!10 = !{!"long double", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = !{!14, !14, i64 0}
!14 = !{!"vtable pointer", !8, i64 0}


; 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 i32, align 4
@pi = external dso_local global x86_fp80, align 16
@comb = external dso_local local_unnamed_addr global x86_fp80, align 16
@ans = external dso_local local_unnamed_addr global x86_fp80, align 16
@_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 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %2 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @n)
  %3 = load i32, ptr @n, align 4, !tbaa !5
  %4 = add nsw i32 %3, -1
  store i32 %4, ptr @n, align 4, !tbaa !5
  %.not1 = icmp eq i32 %3, 0
  br i1 %.not1, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %.lr.ph
  %5 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERe(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 16 dereferenceable(16) @pi)
  %6 = load x86_fp80, ptr @comb, align 16, !tbaa !9
  %7 = load x86_fp80, ptr @pi, align 16, !tbaa !9
  %8 = fmul x86_fp80 %6, %7
  %9 = tail call x86_fp80 @llvm.fmuladd.f80(x86_fp80 %8, x86_fp80 0xK40008000000000000000, x86_fp80 %7)
  %10 = load x86_fp80, ptr @ans, align 16, !tbaa !9
  %11 = fadd x86_fp80 %10, %9
  store x86_fp80 %11, ptr @ans, align 16, !tbaa !9
  %12 = tail call x86_fp80 @llvm.fmuladd.f80(x86_fp80 %6, x86_fp80 %7, x86_fp80 %7)
  store x86_fp80 %12, ptr @comb, align 16, !tbaa !9
  %13 = load i32, ptr @n, align 4, !tbaa !5
  %14 = add nsw i32 %13, -1
  store i32 %14, ptr @n, align 4, !tbaa !5
  %.not = icmp eq i32 %13, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph, %0
  %15 = load ptr, ptr @_ZSt4cout, align 8, !tbaa !13
  %16 = getelementptr i8, ptr %15, i64 -24
  %17 = load i64, ptr %16, align 8
  %18 = getelementptr inbounds i8, ptr @_ZSt4cout, i64 %17
  %19 = tail call noundef i64 @_ZNSt8ios_base9precisionEl(ptr noundef nonnull align 8 dereferenceable(216) %18, i64 noundef 17)
  %20 = load x86_fp80, ptr @ans, align 16, !tbaa !9
  %21 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, x86_fp80 noundef %20)
  %22 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %21, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #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 #1

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

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare x86_fp80 @llvm.fmuladd.f80(x86_fp80, x86_fp80, x86_fp80) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNSt8ios_base9precisionEl(ptr noundef nonnull align 8 dereferenceable(216), i64 noundef) local_unnamed_addr #4 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8), x86_fp80 noundef) local_unnamed_addr #2 align 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 #2 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

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 = { "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 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #4 = { 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 #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" }

!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 = !{!10, !10, i64 0}
!10 = !{!"long double", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = !{!14, !14, i64 0}
!14 = !{!"vtable pointer", !8, i64 0}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass