; LLVM IR from eyangch/competitive-programming :: CSES/Dynamic_Programming (dice_combinations)

; 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 [1000007 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i32, align 4
  %4 = alloca i64, align 8
  store i32 0, ptr %1, align 4
  %5 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %6 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %7 = getelementptr i8, ptr %6, i64 -24
  %8 = load i64, ptr %7, align 8
  %9 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %8
  %10 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %9, ptr noundef null)
  %11 = 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 @dp, align 16, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  store i64 0, ptr %2, align 8, !tbaa !8
  br label %12

12:                                               ; preds = %42, %0
  %13 = load i64, ptr %2, align 8, !tbaa !8
  %14 = load i64, ptr @N, align 8, !tbaa !8
  %15 = icmp slt i64 %13, %14
  br i1 %15, label %17, label %16

16:                                               ; preds = %12
  store i32 2, ptr %3, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  br label %45

17:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  store i64 1, ptr %4, align 8, !tbaa !8
  br label %18

18:                                               ; preds = %38, %17
  %19 = load i64, ptr %4, align 8, !tbaa !8
  %20 = icmp sle i64 %19, 6
  br i1 %20, label %22, label %21

21:                                               ; preds = %18
  store i32 5, ptr %3, align 4
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  br label %41

22:                                               ; preds = %18
  %23 = load i64, ptr %2, align 8, !tbaa !8
  %24 = load i64, ptr %4, align 8, !tbaa !8
  %25 = add nsw i64 %23, %24
  %26 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %25
  %27 = load i64, ptr %26, align 8, !tbaa !8
  %28 = load i64, ptr %2, align 8, !tbaa !8
  %29 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %28
  %30 = load i64, ptr %29, align 8, !tbaa !8
  %31 = add nsw i64 %27, %30
  %32 = load i64, ptr @MOD, align 8, !tbaa !8
  %33 = srem i64 %31, %32
  %34 = load i64, ptr %2, align 8, !tbaa !8
  %35 = load i64, ptr %4, align 8, !tbaa !8
  %36 = add nsw i64 %34, %35
  %37 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %36
  store i64 %33, ptr %37, align 8, !tbaa !8
  br label %38

38:                                               ; preds = %22
  %39 = load i64, ptr %4, align 8, !tbaa !8
  %40 = add nsw i64 %39, 1
  store i64 %40, ptr %4, align 8, !tbaa !8
  br label %18, !llvm.loop !11

41:                                               ; preds = %21
  br label %42

42:                                               ; preds = %41
  %43 = load i64, ptr %2, align 8, !tbaa !8
  %44 = add nsw i64 %43, 1
  store i64 %44, ptr %2, align 8, !tbaa !8
  br label %12, !llvm.loop !13

45:                                               ; preds = %16
  %46 = load i64, ptr @N, align 8, !tbaa !8
  %47 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %46
  %48 = load i64, ptr %47, align 8, !tbaa !8
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %48)
  %50 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %49, ptr noundef @.str)
  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

; 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)) #3 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #4

; 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) #5

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #3 align 2

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 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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"}
!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
@dp = external dso_local local_unnamed_addr global [1000007 x i64], align 16
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1

; 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 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %3 = getelementptr i8, ptr %2, i64 -24
  %4 = load i64, ptr %3, align 8
  %5 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %4
  %6 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %5, ptr noundef null)
  %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 @dp, align 16, !tbaa !8
  %8 = load i64, ptr @N, align 8, !tbaa !8
  %9 = icmp sgt i64 %8, 0
  br i1 %9, label %.preheader.lr.ph, label %._crit_edge

.preheader.lr.ph:                                 ; preds = %0
  %10 = load i64, ptr @MOD, align 8, !tbaa !8
  %load_initial = load i64, ptr getelementptr inbounds (i8, ptr @dp, i64 40), align 8
  br label %.preheader

.preheader:                                       ; preds = %.preheader.lr.ph, %.preheader
  %store_forwarded = phi i64 [ %load_initial, %.preheader.lr.ph ], [ %40, %.preheader ]
  %11 = phi i64 [ 1, %.preheader.lr.ph ], [ %16, %.preheader ]
  %.0912 = phi i64 [ 0, %.preheader.lr.ph ], [ %12, %.preheader ]
  %12 = add nuw nsw i64 %.0912, 1
  %13 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %12
  %14 = load i64, ptr %13, align 8, !tbaa !8
  %15 = add nsw i64 %11, %14
  %16 = srem i64 %15, %10
  store i64 %16, ptr %13, align 8, !tbaa !8
  %17 = add nuw nsw i64 %.0912, 2
  %18 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %17
  %19 = load i64, ptr %18, align 8, !tbaa !8
  %20 = add nsw i64 %11, %19
  %21 = srem i64 %20, %10
  store i64 %21, ptr %18, align 8, !tbaa !8
  %22 = add nuw nsw i64 %.0912, 3
  %23 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %22
  %24 = load i64, ptr %23, align 8, !tbaa !8
  %25 = add nsw i64 %11, %24
  %26 = srem i64 %25, %10
  store i64 %26, ptr %23, align 8, !tbaa !8
  %27 = add nuw nsw i64 %.0912, 4
  %28 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %27
  %29 = load i64, ptr %28, align 8, !tbaa !8
  %30 = add nsw i64 %11, %29
  %31 = srem i64 %30, %10
  store i64 %31, ptr %28, align 8, !tbaa !8
  %32 = add nuw nsw i64 %.0912, 5
  %33 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %32
  %34 = add nsw i64 %11, %store_forwarded
  %35 = srem i64 %34, %10
  store i64 %35, ptr %33, align 8, !tbaa !8
  %36 = add nuw nsw i64 %.0912, 6
  %37 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %36
  %38 = load i64, ptr %37, align 8, !tbaa !8
  %39 = add nsw i64 %11, %38
  %40 = srem i64 %39, %10
  store i64 %40, ptr %37, align 8, !tbaa !8
  %exitcond.not = icmp eq i64 %12, %8
  br i1 %exitcond.not, label %._crit_edge, label %.preheader, !llvm.loop !11

._crit_edge:                                      ; preds = %.preheader, %0
  %41 = getelementptr inbounds [1000007 x i64], ptr @dp, i64 0, i64 %8
  %42 = load i64, ptr %41, align 8, !tbaa !8
  %43 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %42)
  %44 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %43, ptr noundef nonnull @.str)
  ret i32 0
}

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

; 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_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) 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 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 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,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LCSSAPass,LICMPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass