; LLVM IR from eyangch/competitive-programming :: Codeforces/1717 (d)

; 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" }

@MOD = external dso_local global i64, align 8
@N = external dso_local global i64, align 8
@K = external dso_local global i64, align 8
@f = external dso_local global [100001 x i64], align 16
@fi = external dso_local global [100001 x i64], align 16
@_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: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z3invx(i64 noundef) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z3nCrxx(i64 noundef, i64 noundef) #1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %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 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  %10 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  store i64 1, ptr @fi, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #7
  store i64 1, ptr %2, align 8, !tbaa !8
  br label %11

11:                                               ; preds = %32, %0
  %12 = load i64, ptr %2, align 8, !tbaa !8
  %13 = icmp sle i64 %12, 100000
  br i1 %13, label %15, label %14

14:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #7
  br label %35

15:                                               ; preds = %11
  %16 = load i64, ptr %2, align 8, !tbaa !8
  %17 = sub nsw i64 %16, 1
  %18 = getelementptr inbounds [100001 x i64], ptr @f, i64 0, i64 %17
  %19 = load i64, ptr %18, align 8, !tbaa !8
  %20 = load i64, ptr %2, align 8, !tbaa !8
  %21 = mul nsw i64 %19, %20
  %22 = load i64, ptr @MOD, align 8, !tbaa !8
  %23 = srem i64 %21, %22
  %24 = load i64, ptr %2, align 8, !tbaa !8
  %25 = getelementptr inbounds [100001 x i64], ptr @f, i64 0, i64 %24
  store i64 %23, ptr %25, align 8, !tbaa !8
  %26 = load i64, ptr %2, align 8, !tbaa !8
  %27 = getelementptr inbounds [100001 x i64], ptr @f, i64 0, i64 %26
  %28 = load i64, ptr %27, align 8, !tbaa !8
  %29 = call noundef i64 @_Z3invx(i64 noundef %28)
  %30 = load i64, ptr %2, align 8, !tbaa !8
  %31 = getelementptr inbounds [100001 x i64], ptr @fi, i64 0, i64 %30
  store i64 %29, ptr %31, align 8, !tbaa !8
  br label %32

32:                                               ; preds = %15
  %33 = load i64, ptr %2, align 8, !tbaa !8
  %34 = add nsw i64 %33, 1
  store i64 %34, ptr %2, align 8, !tbaa !8
  br label %11, !llvm.loop !11

35:                                               ; preds = %14
  %36 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @N)
  %37 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %36, ptr noundef nonnull align 8 dereferenceable(8) @K)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @K, ptr noundef nonnull align 8 dereferenceable(8) @N)
  %39 = load i64, ptr %38, align 8, !tbaa !8
  store i64 %39, ptr @K, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #7
  store i64 0, ptr %3, align 8, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #7
  store i64 0, ptr %4, align 8, !tbaa !8
  br label %40

40:                                               ; preds = %53, %35
  %41 = load i64, ptr %4, align 8, !tbaa !8
  %42 = load i64, ptr @K, align 8, !tbaa !8
  %43 = icmp sle i64 %41, %42
  br i1 %43, label %45, label %44

44:                                               ; preds = %40
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #7
  br label %56

45:                                               ; preds = %40
  %46 = load i64, ptr %3, align 8, !tbaa !8
  %47 = load i64, ptr @N, align 8, !tbaa !8
  %48 = load i64, ptr %4, align 8, !tbaa !8
  %49 = call noundef i64 @_Z3nCrxx(i64 noundef %47, i64 noundef %48)
  %50 = add nsw i64 %46, %49
  %51 = load i64, ptr @MOD, align 8, !tbaa !8
  %52 = srem i64 %50, %51
  store i64 %52, ptr %3, align 8, !tbaa !8
  br label %53

53:                                               ; preds = %45
  %54 = load i64, ptr %4, align 8, !tbaa !8
  %55 = add nsw i64 %54, 1
  store i64 %55, ptr %4, align 8, !tbaa !8
  br label %40, !llvm.loop !13

56:                                               ; preds = %44
  %57 = load i64, ptr %3, align 8, !tbaa !8
  %58 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %57)
  %59 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %58, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #7
  %60 = load i32, ptr %1, align 4
  ret i32 %60
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #1 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #3

; 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)) #4 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #5

; 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) #6

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

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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 #3 = { "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 #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 = { inlinehint 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 #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 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !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" }

@MOD = external dso_local local_unnamed_addr global i64, align 8
@N = external dso_local global i64, align 8
@K = external dso_local global i64, align 8
@f = external dso_local local_unnamed_addr global [100001 x i64], align 16
@fi = external dso_local local_unnamed_addr global [100001 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z3invx(i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_Z3nCrxx(i64 noundef, i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %2 = getelementptr i8, ptr %1, i64 -24
  %3 = load i64, ptr %2, align 8
  %4 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %3
  %5 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %4, ptr noundef null)
  %6 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  store i64 1, ptr @fi, align 16, !tbaa !8
  store i64 1, ptr @f, align 16, !tbaa !8
  br label %12

7:                                                ; preds = %12
  %8 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) @N)
  %9 = tail call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 8 dereferenceable(8) @K)
  %10 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) @K, ptr noundef nonnull align 8 dereferenceable(8) @N)
  %11 = load i64, ptr %10, align 8, !tbaa !8
  store i64 %11, ptr @K, align 8, !tbaa !8
  %.not16 = icmp slt i64 %11, 0
  br i1 %.not16, label %._crit_edge, label %.lr.ph

12:                                               ; preds = %0, %12
  %.01415 = phi i64 [ 1, %0 ], [ %22, %12 ]
  %13 = add nsw i64 %.01415, -1
  %14 = getelementptr inbounds [100001 x i64], ptr @f, i64 0, i64 %13
  %15 = load i64, ptr %14, align 8, !tbaa !8
  %16 = mul nsw i64 %15, %.01415
  %17 = load i64, ptr @MOD, align 8, !tbaa !8
  %18 = srem i64 %16, %17
  %19 = getelementptr inbounds [100001 x i64], ptr @f, i64 0, i64 %.01415
  store i64 %18, ptr %19, align 8, !tbaa !8
  %20 = tail call noundef i64 @_Z3invx(i64 noundef %18)
  %21 = getelementptr inbounds [100001 x i64], ptr @fi, i64 0, i64 %.01415
  store i64 %20, ptr %21, align 8, !tbaa !8
  %22 = add nuw nsw i64 %.01415, 1
  %exitcond.not = icmp eq i64 %22, 100001
  br i1 %exitcond.not, label %7, label %12, !llvm.loop !11

._crit_edge:                                      ; preds = %.lr.ph, %7
  %.013.lcssa = phi i64 [ 0, %7 ], [ %29, %.lr.ph ]
  %23 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.013.lcssa)
  %24 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %23, i8 noundef signext 10)
  ret i32 0

.lr.ph:                                           ; preds = %7, %.lr.ph
  %.018 = phi i64 [ %30, %.lr.ph ], [ 0, %7 ]
  %.01317 = phi i64 [ %29, %.lr.ph ], [ 0, %7 ]
  %25 = load i64, ptr @N, align 8, !tbaa !8
  %26 = tail call noundef i64 @_Z3nCrxx(i64 noundef %25, i64 noundef %.018)
  %27 = add nsw i64 %26, %.01317
  %28 = load i64, ptr @MOD, align 8, !tbaa !8
  %29 = srem i64 %27, %28
  %30 = add nuw nsw i64 %.018, 1
  %31 = load i64, ptr @K, align 8, !tbaa !8
  %.not.not = icmp slt i64 %.018, %31
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !13
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #0 align 2

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #2

; 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 #3 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #4

; 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 #5

; 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 #3 align 2

attributes #0 = { 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 #1 = { 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 #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 = { 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 #4 = { inlinehint 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"long long", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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