; LLVM IR from eyangch/competitive-programming :: USACOtraining/3.4 (fence9)

; 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
@.str = external hidden unnamed_addr constant [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external global ptr, align 8
@.str.2 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external global ptr, 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 double, align 8
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  %6 = alloca double, align 8
  %7 = alloca i32, align 4
  %8 = alloca double, align 8
  store i32 0, ptr %1, align 4
  %9 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %10 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %11 = getelementptr i8, ptr %10, i64 -24
  %12 = load i64, ptr %11, align 8
  %13 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %12
  %14 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %13, ptr noundef null)
  %15 = load ptr, ptr @stdin, align 8, !tbaa !8
  %16 = call ptr @freopen(ptr noundef @.str, ptr noundef @.str.1, ptr noundef %15)
  %17 = load ptr, ptr @stdout, align 8, !tbaa !8
  %18 = call ptr @freopen(ptr noundef @.str.2, ptr noundef @.str.3, ptr noundef %17)
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #7
  %19 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %20 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %19, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %21 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %20, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #7
  %22 = load double, ptr %2, align 8, !tbaa !11
  %23 = load double, ptr %3, align 8, !tbaa !11
  %24 = fdiv double %22, %23
  store double %24, ptr %5, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #7
  %25 = load double, ptr %2, align 8, !tbaa !11
  %26 = load double, ptr %4, align 8, !tbaa !11
  %27 = fsub double %25, %26
  %28 = load double, ptr %3, align 8, !tbaa !11
  %29 = fdiv double %27, %28
  store double %29, ptr %6, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #7
  store i32 0, ptr %7, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #7
  store double 1.000000e+00, ptr %8, align 8, !tbaa !11
  br label %30

30:                                               ; preds = %51, %0
  %31 = load double, ptr %8, align 8, !tbaa !11
  %32 = load double, ptr %3, align 8, !tbaa !11
  %33 = fcmp olt double %31, %32
  br i1 %33, label %35, label %34

34:                                               ; preds = %30
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #7
  br label %54

35:                                               ; preds = %30
  %36 = load double, ptr %6, align 8, !tbaa !11
  %37 = load double, ptr %8, align 8, !tbaa !11
  %38 = load double, ptr %4, align 8, !tbaa !11
  %39 = call double @llvm.fmuladd.f64(double %36, double %37, double %38)
  %40 = call double @llvm.ceil.f64(double %39)
  %41 = load double, ptr %5, align 8, !tbaa !11
  %42 = load double, ptr %8, align 8, !tbaa !11
  %43 = call double @llvm.fmuladd.f64(double %41, double %42, double 1.000000e+00)
  %44 = fptosi double %43 to i32
  %45 = sitofp i32 %44 to double
  %46 = fsub double %40, %45
  %47 = load i32, ptr %7, align 4, !tbaa !13
  %48 = sitofp i32 %47 to double
  %49 = fadd double %48, %46
  %50 = fptosi double %49 to i32
  store i32 %50, ptr %7, align 4, !tbaa !13
  br label %51

51:                                               ; preds = %35
  %52 = load double, ptr %8, align 8, !tbaa !11
  %53 = fadd double %52, 1.000000e+00
  store double %53, ptr %8, align 8, !tbaa !11
  br label %30, !llvm.loop !15

54:                                               ; preds = %34
  %55 = load i32, ptr %7, align 4, !tbaa !13
  %56 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %55)
  %57 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %56, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #7
  ret i32 0
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #2 align 2

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #4 align 2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #5

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.ceil.f64(double) #5

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #1

; 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)) #6

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 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 #3 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #6 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"any pointer", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !10, i64 0}
!13 = !{!14, !14, i64 0}
!14 = !{!"int", !10, i64 0}
!15 = distinct !{!15, !16}
!16 = !{!"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
@.str = external hidden unnamed_addr constant [10 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@stdin = external local_unnamed_addr global ptr, align 8
@.str.2 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@stdout = external local_unnamed_addr global ptr, 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 double, align 8
  %2 = alloca double, align 8
  %3 = alloca double, align 8
  %4 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  %10 = load ptr, ptr @stdin, align 8, !tbaa !8
  %11 = tail call ptr @freopen(ptr noundef nonnull @.str, ptr noundef nonnull @.str.1, ptr noundef %10)
  %12 = load ptr, ptr @stdout, align 8, !tbaa !8
  %13 = tail call ptr @freopen(ptr noundef nonnull @.str.2, ptr noundef nonnull @.str.3, ptr noundef %12)
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #7
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #7
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %14, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %15, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %17 = load double, ptr %1, align 8, !tbaa !11
  %18 = load double, ptr %2, align 8, !tbaa !11
  %19 = fdiv double %17, %18
  %20 = load double, ptr %3, align 8, !tbaa !11
  %21 = fsub double %17, %20
  %22 = fdiv double %21, %18
  %23 = fcmp ogt double %18, 1.000000e+00
  br i1 %23, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph, %0
  %.07.lcssa = phi i32 [ 0, %0 ], [ %34, %.lr.ph ]
  %24 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 noundef %.07.lcssa)
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %24, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #7
  ret i32 0

.lr.ph:                                           ; preds = %0, %.lr.ph
  %.09 = phi double [ %35, %.lr.ph ], [ 1.000000e+00, %0 ]
  %.078 = phi i32 [ %34, %.lr.ph ], [ 0, %0 ]
  %26 = call double @llvm.fmuladd.f64(double %22, double %.09, double %20)
  %27 = call double @llvm.ceil.f64(double %26)
  %28 = call double @llvm.fmuladd.f64(double %19, double %.09, double 1.000000e+00)
  %29 = fptosi double %28 to i32
  %30 = sitofp i32 %29 to double
  %31 = fsub double %27, %30
  %32 = sitofp i32 %.078 to double
  %33 = fadd double %31, %32
  %34 = fptosi double %33 to i32
  %35 = fadd double %.09, 1.000000e+00
  %36 = fcmp olt double %35, %18
  br i1 %36, label %.lr.ph, label %._crit_edge, !llvm.loop !13
}

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

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #2 align 2

declare ptr @freopen(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #4 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #5

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.ceil.f64(double) #5

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #1

; 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)) #6

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 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 #3 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #6 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"any pointer", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !10, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}


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