; LLVM IR from xxks-kkk/algo :: linkedList/josephus (nonLinkedListSol)

; 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"

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

8:                                                ; preds = %2
  store i32 1, ptr %3, align 4
  br label %20

9:                                                ; preds = %2
  %10 = load i32, ptr %5, align 4, !tbaa !5
  %11 = sub nsw i32 %10, 1
  %12 = load i32, ptr %4, align 4, !tbaa !5
  %13 = sub nsw i32 %12, 1
  %14 = load i32, ptr %5, align 4, !tbaa !5
  %15 = call i32 @recurrenceJosephus(i32 noundef %13, i32 noundef %14)
  %16 = add nsw i32 %11, %15
  %17 = load i32, ptr %4, align 4, !tbaa !5
  %18 = srem i32 %16, %17
  %19 = add nsw i32 %18, 1
  store i32 %19, ptr %3, align 4
  br label %20

20:                                               ; preds = %9, %8
  %21 = load i32, ptr %3, align 4
  ret i32 %21
}

attributes #0 = { 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" }

!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/C++ TBAA"}


; 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"

; Function Attrs: nofree nosync nounwind memory(none) uwtable
define dso_local range(i32 -2147483646, -2147483648) i32 @recurrenceJosephus(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = icmp eq i32 %0, 1
  br i1 %3, label %common.ret7, label %4

common.ret7:                                      ; preds = %2, %4
  %common.ret7.op = phi i32 [ %10, %4 ], [ 1, %2 ]
  ret i32 %common.ret7.op

4:                                                ; preds = %2
  %5 = add nsw i32 %1, -1
  %6 = add nsw i32 %0, -1
  %7 = tail call i32 @recurrenceJosephus(i32 noundef %6, i32 noundef %1)
  %8 = add nsw i32 %5, %7
  %9 = srem i32 %8, %0
  %10 = add nsw i32 %9, 1
  br label %common.ret7
}

attributes #0 = { nofree nosync nounwind memory(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)"}


; Effective O3 passes: GlobalOptPass,IPSCCPPass,InstCombinePass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass,TailCallElimPass