; LLVM IR from brpapa/algorithms :: solutions/uva/10943.ll (Z2dpii)

; 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"

@memo = external dso_local global [110 x [110 x i32]], align 16

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %9 = load i32, ptr %5, align 4, !tbaa !5
  %10 = icmp eq i32 %9, 1
  br i1 %10, label %11, label %12

11:                                               ; preds = %2
  store i32 1, ptr %3, align 4
  br label %50

12:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #2
  %13 = load i32, ptr %4, align 4, !tbaa !5
  %14 = sext i32 %13 to i64
  %15 = getelementptr inbounds [110 x [110 x i32]], ptr @memo, i64 0, i64 %14
  %16 = load i32, ptr %5, align 4, !tbaa !5
  %17 = sext i32 %16 to i64
  %18 = getelementptr inbounds [110 x i32], ptr %15, i64 0, i64 %17
  store ptr %18, ptr %6, align 8, !tbaa !9
  %19 = load ptr, ptr %6, align 8, !tbaa !9
  %20 = load i32, ptr %19, align 4, !tbaa !5
  %21 = icmp ne i32 %20, 0
  br i1 %21, label %22, label %25

22:                                               ; preds = %12
  %23 = load ptr, ptr %6, align 8, !tbaa !9
  %24 = load i32, ptr %23, align 4, !tbaa !5
  store i32 %24, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %49

25:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #2
  store i32 0, ptr %8, align 4, !tbaa !5
  br label %26

26:                                               ; preds = %43, %25
  %27 = load i32, ptr %8, align 4, !tbaa !5
  %28 = load i32, ptr %4, align 4, !tbaa !5
  %29 = icmp sle i32 %27, %28
  br i1 %29, label %31, label %30

30:                                               ; preds = %26
  store i32 2, ptr %7, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #2
  br label %46

31:                                               ; preds = %26
  %32 = load ptr, ptr %6, align 8, !tbaa !9
  %33 = load i32, ptr %32, align 4, !tbaa !5
  %34 = load i32, ptr %4, align 4, !tbaa !5
  %35 = load i32, ptr %8, align 4, !tbaa !5
  %36 = sub nsw i32 %34, %35
  %37 = load i32, ptr %5, align 4, !tbaa !5
  %38 = sub nsw i32 %37, 1
  %39 = call noundef i32 @_Z2dpii(i32 noundef %36, i32 noundef %38)
  %40 = add nsw i32 %33, %39
  %41 = srem i32 %40, 1000000
  %42 = load ptr, ptr %6, align 8, !tbaa !9
  store i32 %41, ptr %42, align 4, !tbaa !5
  br label %43

43:                                               ; preds = %31
  %44 = load i32, ptr %8, align 4, !tbaa !5
  %45 = add nsw i32 %44, 1
  store i32 %45, ptr %8, align 4, !tbaa !5
  br label %26, !llvm.loop !11

46:                                               ; preds = %30
  %47 = load ptr, ptr %6, align 8, !tbaa !9
  %48 = load i32, ptr %47, align 4, !tbaa !5
  store i32 %48, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %49

49:                                               ; preds = %46, %22
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #2
  br label %50

50:                                               ; preds = %49, %11
  %51 = load i32, ptr %3, align 4
  ret i32 %51
}

; 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

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !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"

@memo = external dso_local local_unnamed_addr global [110 x [110 x i32]], align 16

; Function Attrs: mustprogress nofree nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = icmp eq i32 %1, 1
  br i1 %3, label %._crit_edge, label %4

4:                                                ; preds = %2
  %5 = sext i32 %0 to i64
  %6 = sext i32 %1 to i64
  %7 = getelementptr inbounds [110 x [110 x i32]], ptr @memo, i64 0, i64 %5, i64 %6
  %8 = load i32, ptr %7, align 4, !tbaa !5
  %.not = icmp eq i32 %8, 0
  br i1 %.not, label %.preheader, label %._crit_edge

.preheader:                                       ; preds = %4
  %.not1819 = icmp slt i32 %0, 0
  br i1 %.not1819, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %.preheader
  %9 = add nsw i32 %1, -1
  br label %10

10:                                               ; preds = %.lr.ph, %10
  %11 = phi i32 [ 0, %.lr.ph ], [ %15, %10 ]
  %.020 = phi i32 [ 0, %.lr.ph ], [ %16, %10 ]
  %12 = sub nsw i32 %0, %.020
  %13 = tail call noundef i32 @_Z2dpii(i32 noundef %12, i32 noundef %9)
  %14 = add nsw i32 %13, %11
  %15 = srem i32 %14, 1000000
  store i32 %15, ptr %7, align 4, !tbaa !5
  %16 = add nuw i32 %.020, 1
  %exitcond.not = icmp eq i32 %.020, %0
  br i1 %exitcond.not, label %._crit_edge, label %10, !llvm.loop !9

._crit_edge:                                      ; preds = %10, %.preheader, %4, %2
  %.1 = phi i32 [ 1, %2 ], [ %8, %4 ], [ 0, %.preheader ], [ %15, %10 ]
  ret i32 %.1
}

attributes #0 = { mustprogress nofree nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) 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 = !{!"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,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass