; LLVM IR from eyangch/competitive-programming :: Codeforces/1452 (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
@dp = external dso_local global [200000 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 @_Z4bpowxx(i64 noundef, i64 noundef) #0

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

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

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %3 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %4 = getelementptr i8, ptr %3, i64 -24
  %5 = load i64, ptr %4, align 8
  %6 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %5
  %7 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %6, ptr noundef null)
  %8 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %9 = 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)
  store i64 1, ptr getelementptr inbounds ([200000 x i64], ptr @dp, i64 0, i64 1), align 8, !tbaa !8
  store i64 1, ptr @dp, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store i64 2, ptr %2, align 8, !tbaa !8
  br label %10

10:                                               ; preds = %29, %0
  %11 = load i64, ptr %2, align 8, !tbaa !8
  %12 = load i64, ptr @N, align 8, !tbaa !8
  %13 = icmp slt i64 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  br label %32

15:                                               ; preds = %10
  %16 = load i64, ptr %2, align 8, !tbaa !8
  %17 = sub nsw i64 %16, 1
  %18 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %17
  %19 = load i64, ptr %18, align 8, !tbaa !8
  %20 = load i64, ptr %2, align 8, !tbaa !8
  %21 = sub nsw i64 %20, 2
  %22 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %21
  %23 = load i64, ptr %22, align 8, !tbaa !8
  %24 = add nsw i64 %19, %23
  %25 = load i64, ptr @MOD, align 8, !tbaa !8
  %26 = srem i64 %24, %25
  %27 = load i64, ptr %2, align 8, !tbaa !8
  %28 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %27
  store i64 %26, ptr %28, align 8, !tbaa !8
  br label %29

29:                                               ; preds = %15
  %30 = load i64, ptr %2, align 8, !tbaa !8
  %31 = add nsw i64 %30, 1
  store i64 %31, ptr %2, align 8, !tbaa !8
  br label %10, !llvm.loop !11

32:                                               ; preds = %14
  %33 = load i64, ptr @N, align 8, !tbaa !8
  %34 = sub nsw i64 %33, 1
  %35 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %34
  %36 = load i64, ptr %35, align 8, !tbaa !8
  %37 = load i64, ptr @N, align 8, !tbaa !8
  %38 = load i64, ptr @MOD, align 8, !tbaa !8
  %39 = sub nsw i64 %38, 2
  %40 = mul nsw i64 %37, %39
  %41 = load i64, ptr @MOD, align 8, !tbaa !8
  %42 = sub nsw i64 %41, 1
  %43 = srem i64 %40, %42
  %44 = call noundef i64 @_Z4bpowxx(i64 noundef 2, i64 noundef %43)
  %45 = mul nsw i64 %36, %44
  %46 = load i64, ptr @MOD, align 8, !tbaa !8
  %47 = srem i64 %45, %46
  %48 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %47)
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %48, i8 noundef signext 10)
  %50 = load i32, ptr %1, align 4
  ret i32 %50
}

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #0 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 uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #5

; 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 = { 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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 = { 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"}


; 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
@dp = external dso_local local_unnamed_addr global [200000 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 @_Z4bpowxx(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)
  %7 = 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)
  store i64 1, ptr getelementptr inbounds (i8, ptr @dp, i64 8), align 8, !tbaa !8
  store i64 1, ptr @dp, align 16, !tbaa !8
  %8 = load i64, ptr @N, align 8, !tbaa !8
  %9 = icmp sgt i64 %8, 2
  %.pre = load i64, ptr @MOD, align 8, !tbaa !8
  br i1 %9, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %0
  %xtraiter = and i64 %8, 1
  %10 = icmp eq i64 %8, 3
  br i1 %10, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %11 = and i64 %8, 9223372036854775806
  %12 = add nsw i64 %11, -4
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.unr = phi i64 [ 1, %.lr.ph.preheader ], [ %44, %.lr.ph ]
  %.07.unr = phi i64 [ 2, %.lr.ph.preheader ], [ %46, %.lr.ph ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa
  %13 = add nsw i64 %.07.unr, -2
  %14 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %13
  %15 = load i64, ptr %14, align 8, !tbaa !8
  %16 = add nsw i64 %15, %.unr
  %17 = srem i64 %16, %.pre
  %18 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %.07.unr
  store i64 %17, ptr %18, align 8, !tbaa !8
  br label %._crit_edge

._crit_edge:                                      ; preds = %.lr.ph.epil, %._crit_edge.loopexit.unr-lcssa, %0
  %19 = add nsw i64 %8, -1
  %20 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %19
  %21 = load i64, ptr %20, align 8, !tbaa !8
  %22 = add nsw i64 %.pre, -2
  %23 = mul nsw i64 %22, %8
  %24 = add nsw i64 %.pre, -1
  %25 = srem i64 %23, %24
  %26 = tail call noundef i64 @_Z4bpowxx(i64 noundef 2, i64 noundef %25)
  %27 = mul nsw i64 %26, %21
  %28 = load i64, ptr @MOD, align 8, !tbaa !8
  %29 = srem i64 %27, %28
  %30 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %29)
  %31 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %30, i8 noundef signext 10)
  ret i32 0

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %32 = phi i64 [ 1, %.lr.ph.preheader.new ], [ %44, %.lr.ph ]
  %.07 = phi i64 [ 2, %.lr.ph.preheader.new ], [ %46, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.1, %.lr.ph ]
  %33 = add nsw i64 %.07, -2
  %34 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %33
  %35 = load i64, ptr %34, align 16, !tbaa !8
  %36 = add nsw i64 %35, %32
  %37 = srem i64 %36, %.pre
  %38 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %.07
  store i64 %37, ptr %38, align 16, !tbaa !8
  %39 = or disjoint i64 %.07, 1
  %40 = add nsw i64 %.07, -1
  %41 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %40
  %42 = load i64, ptr %41, align 8, !tbaa !8
  %43 = add nsw i64 %42, %37
  %44 = srem i64 %43, %.pre
  %45 = getelementptr inbounds [200000 x i64], ptr @dp, i64 0, i64 %39
  store i64 %44, ptr %45, align 8, !tbaa !8
  %46 = add nuw nsw i64 %.07, 2
  %niter.next.1 = add i64 %niter, 2
  %niter.ncmp.1 = icmp eq i64 %niter, %12
  br i1 %niter.ncmp.1, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph, !llvm.loop !11
}

; 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 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 #4

; 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 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"}


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