; LLVM IR from tangjz/acm-icpc :: 51nod/1236.ll (Z7mod_invi)

; 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"

@inv = external dso_local global [100002 x i32], align 16

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_Z7mod_invi(i32 noundef %0) #0 {
  %2 = alloca i32, align 4
  store i32 %0, ptr %2, align 4, !tbaa !5
  %3 = load i32, ptr %2, align 4, !tbaa !5
  %4 = icmp slt i32 %3, 100001
  br i1 %4, label %5, label %11

5:                                                ; preds = %1
  %6 = load i32, ptr %2, align 4, !tbaa !5
  %7 = sext i32 %6 to i64
  %8 = getelementptr inbounds [100002 x i32], ptr @inv, i64 0, i64 %7
  %9 = load i32, ptr %8, align 4, !tbaa !5
  %10 = sext i32 %9 to i64
  br label %22

11:                                               ; preds = %1
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = sdiv i32 1000000009, %12
  %14 = sext i32 %13 to i64
  %15 = load i32, ptr %2, align 4, !tbaa !5
  %16 = srem i32 1000000009, %15
  %17 = call noundef i32 @_Z7mod_invi(i32 noundef %16)
  %18 = sext i32 %17 to i64
  %19 = mul nsw i64 %14, %18
  %20 = srem i64 %19, 1000000009
  %21 = sub nsw i64 1000000009, %20
  br label %22

22:                                               ; preds = %11, %5
  %23 = phi i64 [ %10, %5 ], [ %21, %11 ]
  %24 = trunc i64 %23 to i32
  ret i32 %24
}

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" }

!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"}


; 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"

@inv = external dso_local local_unnamed_addr global [100002 x i32], align 16

; Function Attrs: mustprogress nofree nosync nounwind willreturn memory(read, argmem: none, inaccessiblemem: none) uwtable
define dso_local noundef i32 @_Z7mod_invi(i32 noundef %0) local_unnamed_addr #0 {
  %2 = icmp slt i32 %0, 100001
  br i1 %2, label %common.ret, label %6

common.ret:                                       ; preds = %1
  %3 = sext i32 %0 to i64
  %4 = getelementptr inbounds [100002 x i32], ptr @inv, i64 0, i64 %3
  %5 = load i32, ptr %4, align 4, !tbaa !5
  br label %common.ret4

common.ret4:                                      ; preds = %6, %common.ret
  %common.ret4.op = phi i32 [ %5, %common.ret ], [ %15, %6 ]
  ret i32 %common.ret4.op

6:                                                ; preds = %1
  %7 = udiv i32 1000000009, %0
  %8 = zext nneg i32 %7 to i64
  %9 = urem i32 1000000009, %0
  %10 = tail call noundef i32 @_Z7mod_invi(i32 noundef %9)
  %11 = sext i32 %10 to i64
  %12 = mul nsw i64 %11, %8
  %13 = srem i64 %12, 1000000009
  %14 = trunc nsw i64 %13 to i32
  %15 = sub nsw i32 1000000009, %14
  br label %common.ret4
}

attributes #0 = { mustprogress nofree nosync nounwind willreturn memory(read, 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"}


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