; LLVM IR from ShahjalalShohag/code-library :: Math (Number of Solutions of A Equation MITM)

; 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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%struct.modint = type { i32 }

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #0 align 2

; 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 nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #2

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) #0 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEmRKS1_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 4 dereferenceable(4)) #3 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #0 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEC2EOS3_(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_ZmiSt6vectorI6modintILi1000000007EESaIS1_EES3_(ptr dead_on_unwind noalias writable sret(%"class.std::vector") align 8 %0, ptr noundef %1, ptr noundef %2) #3 {
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca %struct.modint, align 4
  %8 = alloca i32, align 4
  %9 = alloca %struct.modint, align 4
  store ptr %0, ptr %4, align 8
  store ptr %1, ptr %5, align 8, !tbaa !5
  store ptr %2, ptr %6, align 8, !tbaa !5
  %10 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %1) #5
  %11 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #5
  %12 = icmp ult i64 %10, %11
  br i1 %12, label %13, label %15

13:                                               ; preds = %3
  %14 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #5
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %7, i32 noundef 0)
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEmRKS1_(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %14, ptr noundef nonnull align 4 dereferenceable(4) %7)
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #5
  br label %15

15:                                               ; preds = %13, %3
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #5
  store i32 0, ptr %8, align 4, !tbaa !9
  br label %16

16:                                               ; preds = %32, %15
  %17 = load i32, ptr %8, align 4, !tbaa !9
  %18 = sext i32 %17 to i64
  %19 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #5
  %20 = icmp ult i64 %18, %19
  br i1 %20, label %22, label %21

21:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #5
  br label %35

22:                                               ; preds = %16
  %23 = load i32, ptr %8, align 4, !tbaa !9
  %24 = sext i32 %23 to i64
  %25 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %24) #5
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %9, ptr align 4 %25, i64 4, i1 false), !tbaa.struct !11
  %26 = load i32, ptr %8, align 4, !tbaa !9
  %27 = sext i32 %26 to i64
  %28 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %27) #5
  %29 = getelementptr inbounds %struct.modint, ptr %9, i32 0, i32 0
  %30 = load i32, ptr %29, align 4
  %31 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZN6modintILi1000000007EEmIES0_(ptr noundef nonnull align 4 dereferenceable(4) %28, i32 %30)
  br label %32

32:                                               ; preds = %22
  %33 = load i32, ptr %8, align 4, !tbaa !9
  %34 = add nsw i32 %33, 1
  store i32 %34, ptr %8, align 4, !tbaa !9
  br label %16, !llvm.loop !12

35:                                               ; preds = %21
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEC2EOS3_(ptr noundef nonnull align 8 dereferenceable(24) %0, ptr noundef nonnull align 8 dereferenceable(24) %1) #5
  ret void
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZN6modintILi1000000007EEmIES0_(ptr noundef nonnull align 4 dereferenceable(4), i32) #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 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
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 = { 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{i64 0, i64 4, !9}
!12 = distinct !{!12, !13}
!13 = !{!"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::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl" = type { %"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<modint<1000000007>, std::allocator<modint<1000000007>>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%struct.modint = type { i32 }

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4), i32 noundef) unnamed_addr #0 align 2

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

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

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEmRKS1_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEC2EOS3_(ptr noundef nonnull align 8 dereferenceable(24), ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_ZmiSt6vectorI6modintILi1000000007EESaIS1_EES3_(ptr dead_on_unwind noalias writable sret(%"class.std::vector") align 8 %0, ptr noundef nonnull %1, ptr noundef %2) local_unnamed_addr #2 {
  %4 = alloca %struct.modint, align 4
  %5 = tail call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %1) #4
  %6 = tail call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #4
  %7 = icmp ult i64 %5, %6
  br i1 %7, label %8, label %10

8:                                                ; preds = %3
  %9 = tail call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #4
  call void @_ZN6modintILi1000000007EEC2Ei(ptr noundef nonnull align 4 dereferenceable(4) %4, i32 noundef 0)
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EE6resizeEmRKS1_(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %9, ptr noundef nonnull align 4 dereferenceable(4) %4)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #4
  br label %10

10:                                               ; preds = %8, %3
  %11 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #4
  %.not = icmp eq i64 %11, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %10
  call void @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEC2EOS3_(ptr noundef nonnull align 8 dereferenceable(24) %0, ptr noundef nonnull align 8 dereferenceable(24) %1) #4
  ret void

.lr.ph:                                           ; preds = %10, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 0, %10 ]
  %12 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %indvars.iv) #4
  %.sroa.0.0.copyload = load i32, ptr %12, align 4, !tbaa !5
  %13 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorI6modintILi1000000007EESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %indvars.iv) #4
  %14 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZN6modintILi1000000007EEmIES0_(ptr noundef nonnull align 4 dereferenceable(4) %13, i32 %.sroa.0.0.copyload)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %15 = call noundef i64 @_ZNKSt6vectorI6modintILi1000000007EESaIS1_EE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %2) #4
  %16 = icmp ugt i64 %15, %indvars.iv.next
  br i1 %16, label %.lr.ph, label %._crit_edge, !llvm.loop !9
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZN6modintILi1000000007EEmIES0_(ptr noundef nonnull align 4 dereferenceable(4), i32) 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 nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { 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 #4 = { 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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