# Out of bounds memory access

**URL:** <https://forum.graphviz.org/t/out-of-bounds-memory-access/1400>\
**Category:** Help\
**Created:** [December 22, 2022, 9:43am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400 "2022-12-22T09:43:26Z")\
**Posts on this page:** 8\
**Page:** 1

<div class="post-metadata">

**Author:** ![schmoo2k](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/schmoo2k/32/29_2.png) [@schmoo2k](https://forum.graphviz.org/u/schmoo2k)\
**Post date:** [December 22, 2022, 9:43am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/1 "2022-12-22T09:43:26Z")

</div>

I was tracking down an out of bounds memory access exception, so rebuilt with clang sanitisers=address.

My guess is that make\_vn\_slot potentially causes a grealloc which then invalidates some ptr instances of “av” → `ALLOC(GD_rank(g)[r].n + 2, GD_rank(g)[r].v, node_t *)`

So when calling dot\_cleanup\_graph it intermittently fails on `free(GD_rank(g)[i].av)` with an “Out of bounds memory access”

The output from the sanitiser is below:

```auto
=================================================================
==42==ERROR: AddressSanitizer: attempting double-free on 0x13d05c80 in thread T0:
    #0 0x45d495 in free system/lib/compiler-rt/lib/asan/asan_malloc_linux.cpp:52:3
    #1 0x15a35f in dot_cleanup_graph ../../../../src-graphviz/lib/dotgen/dotinit.c:152:6
    #2 0x159d4c in dot_cleanup ../../../../src-graphviz/lib/dotgen/dotinit.c:176:5
    #3 0x33ccf5 in gvFreeLayout ../../../../src-graphviz/lib/gvc/gvlayout.c:115:2
    #4 0x143554 in GVC::GVLayout::~GVLayout() ../../../../src-graphviz/lib/gvc++/GVLayout.cpp:48:3
    #5 0x479e in Graphviz::layout(char const*, char const*, char const*) ../../../../cpp/graphviz/graphvizlib/main.cpp:109:1

0x13d05c80 is located 0 bytes inside of 124-byte region [0x13d05c80,0x13d05cfc)
freed by thread T0 here:
    #0 0x45d917 in realloc system/lib/compiler-rt/lib/asan/asan_malloc_linux.cpp:85:3
    #1 0x7e56a in grealloc ../../../../src-graphviz/lib/common/memory.c:64:15
    #2 0x1d6952 in make_vn_slot ../../../../src-graphviz/lib/dotgen/flat.c:21:2
    #3 0x1d5973 in flat_node ../../../../src-graphviz/lib/dotgen/flat.c:155:10
    #4 0x1d4028 in flat_edges ../../../../src-graphviz/lib/dotgen/flat.c:304:4
    #5 0x1d79b6 in dot_position ../../../../src-graphviz/lib/dotgen/position.c:127:9
    #6 0x15af59 in dotLayout ../../../../src-graphviz/lib/dotgen/dotinit.c:309:9
    #7 0x15a916 in doDot ../../../../src-graphviz/lib/dotgen/dotinit.c:446:2
    #8 0x15a70b in dot_layout ../../../../src-graphviz/lib/dotgen/dotinit.c:493:22
    #9 0x33ca55 in gvLayoutJobs ../../../../src-graphviz/lib/gvc/gvlayout.c:85:2
    #10 0x3327d0 in gvLayout ../../../../src-graphviz/lib/gvc/gvc.c:63:9
    #11 0x14307a in GVC::GVLayout::GVLayout(std:: __2::shared_ptr<GVC::GVContext> const&, std::__ 2::shared_ptr<CGraph::AGraph> const&, std:: __2::basic_string<char, std::__ 2::char_traits<char>, std::__2::allocator<char>> const&) ../../../../src-graphviz/lib/gvc++/GVLayout.cpp:22:19
    #12 0x4708 in Graphviz::layout(char const*, char const*, char const*) ../../../../cpp/graphviz/graphvizlib/main.cpp:82:25

previously allocated by thread T0 here:
    #0 0x45d7a1 in calloc system/lib/compiler-rt/lib/asan/asan_malloc_linux.cpp:77:3
    #1 0x7e0d7 in gcalloc ../../../../src-graphviz/lib/common/memory.c:41:16
    #2 0x1be9c6 in allocate_ranks ../../../../src-graphviz/lib/dotgen/mincross.c:1302:39
    #3 0x1bc698 in init_mincross ../../../../src-graphviz/lib/dotgen/mincross.c:1177:5
    #4 0x1bc1f9 in dot_mincross ../../../../src-graphviz/lib/dotgen/mincross.c:359:5
    #5 0x15af03 in dotLayout ../../../../src-graphviz/lib/dotgen/dotinit.c:304:9
    #6 0x15a916 in doDot ../../../../src-graphviz/lib/dotgen/dotinit.c:446:2
    #7 0x15a70b in dot_layout ../../../../src-graphviz/lib/dotgen/dotinit.c:493:22
    #8 0x33ca55 in gvLayoutJobs ../../../../src-graphviz/lib/gvc/gvlayout.c:85:2
    #9 0x3327d0 in gvLayout ../../../../src-graphviz/lib/gvc/gvc.c:63:9
    #10 0x14307a in GVC::GVLayout::GVLayout(std:: __2::shared_ptr<GVC::GVContext> const&, std::__ 2::shared_ptr<CGraph::AGraph> const&, std:: __2::basic_string<char, std::__ 2::char_traits<char>, std::__2::allocator<char>> const&) ../../../../src-graphviz/lib/gvc++/GVLayout.cpp:22:19
    #11 0x4708 in Graphviz::layout(char const*, char const*, char const*) ../../../../cpp/graphviz/graphvizlib/main.cpp:82:25

SUMMARY: AddressSanitizer: double-free system/lib/compiler-rt/lib/asan/asan_malloc_linux.cpp:52:3 in free
==42==ABORTING
Process exited with code 1

```

---

<div class="post-metadata">

**Author:** ![smattr](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/smattr/32/85_2.png) [@smattr](https://forum.graphviz.org/u/smattr)\
**Post date:** [December 22, 2022, 4:37pm UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/2 "2022-12-22T16:37:11Z")

</div>

Can you post the input file and command line you used? And/or file a Gitlab issue? We run an ASan test in CI, so apparently we are not covering the case you have triggered.

---

<div class="post-metadata">

**Author:** ![schmoo2k](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/schmoo2k/32/29_2.png) [@schmoo2k](https://forum.graphviz.org/u/schmoo2k)\
**Post date:** [December 23, 2022, 7:15am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/3 "2022-12-23T07:15:28Z")

</div>

[ERROR: AddressSanitizer: attempting double-free (#2331) · Issues · graphviz / graphviz · GitLab](https://gitlab.com/graphviz/graphviz/-/issues/2331)

---

<div class="post-metadata">

**Author:** ![scnorth](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/scnorth/32/89_2.png) [@scnorth](https://forum.graphviz.org/u/scnorth)\
**Post date:** [December 23, 2022, 8:36pm UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/4 "2022-12-23T20:36:38Z")

</div>

We’ve known for eons that something is kind of wrong in there.

---

<div class="post-metadata">

**Author:** ![smattr](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/smattr/32/85_2.png) [@smattr](https://forum.graphviz.org/u/smattr)\
**Post date:** [December 25, 2022, 10:48pm UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/5 "2022-12-25T22:48:40Z")

</div>

How can you have known this for eons? The reproducer is calling the Graphviz C++ API which has only existed since April 2021.

---

<div class="post-metadata">

**Author:** ![scnorth](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/scnorth/32/89_2.png) [@scnorth](https://forum.graphviz.org/u/scnorth)\
**Post date:** [December 26, 2022, 12:34am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/6 "2022-12-26T00:34:32Z")

</div>

I don’t mean the C++ API, Something to do with clusters, flat edges, make\_vn\_slot (and that warning about unexpected number of vnodes) there seems to be a bug.

---

<div class="post-metadata">

**Author:** ![smattr](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/smattr/32/85_2.png) [@smattr](https://forum.graphviz.org/u/smattr)\
**Post date:** [December 26, 2022, 5:54am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/7 "2022-12-26T05:54:02Z")

</div>

Ah, I see.

---

<div class="post-metadata">

**Author:** ![schmoo2k](https://sea2.discourse-cdn.com/graphviz/user_avatar/forum.graphviz.org/schmoo2k/32/29_2.png) [@schmoo2k](https://forum.graphviz.org/u/schmoo2k)\
**Post date:** [December 26, 2022, 11:25am UTC](https://forum.graphviz.org/t/out-of-bounds-memory-access/1400/8 "2022-12-26T11:25:37Z")

</div>

I added a CTest here: [Test case for Issue 2331 (!3016) · Merge requests · graphviz / graphviz · GitLab](https://gitlab.com/graphviz/graphviz/-/merge_requests/3016)

But the DOT is:

```plaintext
digraph G {
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    subgraph cluster_0 {
    margin=0.5;
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    "cluster_0_start" [shape=box, width="3.157056384616428", height="0.6111111111111112", margin="0.06944444444444445", label="Start__Sawing_Machine"];
  "cluster_0_end" [shape=box, width="3.067291683620877", height="0.6111111111111112", margin="0.06944444444444445", label="End__Sawing_Machine"];
  "cluster_0_8" [shape=box, width="2.4715493520100913", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Postprocessing"];
  "cluster_0_10" [shape=box, width="2.0178529951307507", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Producing"];
  "cluster_0_13" [shape=box, width="2.2250813378228083", height="0.6111111111111112", margin="0.06944444444444445", label="Sawing_Machine"];
  "cluster_0_2" [shape=box, width="1.6418668958875868", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Break"];
  "cluster_0_4" [shape=box, width="2.0078504350450306", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Microstop"];
  "cluster_0_1" [shape=box, width="2.125057644314236", height="0.6111111111111112", margin="0.06944444444444445", label="Production_End"];
  "cluster_0_6" [shape=box, width="3.0203959147135415", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Other_technical_issue"];
  "cluster_0_3" [shape=box, width="2.854460186428494", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Crane_not_available"];
  "cluster_0_12" [shape=box, width="2.4902716742621527", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Unknown_stop1"];
  "cluster_0_5" [shape=box, width="2.09171634250217", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Microstop1"];
  "cluster_0_11" [shape=box, width="2.406405766805013", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Unknown_stop"];
  "cluster_0_9" [shape=box, width="2.141728295220269", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Preparation"];
  "cluster_0_7" [shape=box, width="3.1042618221706815", height="0.6111111111111112", margin="0.06944444444444445", label="SM_Other_technical_issue1"];
    "cluster_0_8" -> "cluster_0_end" [weight="1", label="__31_5K", width="0.7690972222222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_13" [weight="1", label="__61_6K", width="0.7677951388888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_13" -> "cluster_0_10" [weight="30258", label="__30_3K", width="0.7986111111111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_10" -> "cluster_0_8" [weight="12561", label="__12_6K", width="0.771484375", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_8" [weight="1", label="__218", width="0.6325954861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_10" [weight="1", label="__3_97K", width="0.7888454861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_13" -> "cluster_0_end" [weight="1", label="__26_7K", width="0.7842881944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_8" -> "cluster_0_13" [weight="218", label="__218", width="0.6325954861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_13" -> "cluster_0_8" [weight="1710", label="__1_71K", width="0.7371961805555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_10" -> "cluster_0_13" [weight="2474", label="__2_47K", width="0.7944878472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_10" -> "cluster_0_2" [weight="19188", label="__19_2K", width="0.771484375", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_2" -> "cluster_0_8" [weight="11569", label="__11_6K", width="0.7434895833333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_2" -> "cluster_0_end" [weight="1", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_4" -> "cluster_0_8" [weight="8856", label="__8_86K", width="0.7934027777777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_2" -> "cluster_0_4" [weight="12546", label="__12_5K", width="0.7708333333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_4" -> "cluster_0_4" [weight="3690", label="__3_69K", width="0.7970920138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_1" -> "cluster_0_end" [weight="1", label="__11_9K", width="0.7463107638888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_13" -> "cluster_0_1" [weight="11932", label="__11_9K", width="0.7463107638888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_4" -> "cluster_0_6" [weight="3690", label="__3_69K", width="0.7970920138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_6" -> "cluster_0_2" [weight="3690", label="__3_69K", width="0.7970920138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_6" [weight="1", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_6" -> "cluster_0_13" [weight="2365", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_4" -> "cluster_0_3" [weight="3321", label="__3_32K", width="0.7960069444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_3" -> "cluster_0_4" [weight="3321", label="__3_32K", width="0.7960069444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_3" [weight="1", label="__1_06K", width="0.7680121527777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_3" -> "cluster_0_end" [weight="1", label="__1_06K", width="0.7680121527777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_3" -> "cluster_0_8" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_8" -> "cluster_0_3" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_12" [weight="1", label="__3_02K", width="0.7944878472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_12" -> "cluster_0_13" [weight="2328", label="__2_33K", width="0.7994791666666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_12" -> "cluster_0_end" [weight="1", label="__1_71K", width="0.7371961805555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_8" -> "cluster_0_12" [weight="1710", label="__1_71K", width="0.7371961805555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_5" [weight="1", label="__2_84K", width="0.7979600694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_5" -> "cluster_0_13" [weight="1601", label="__1_6K", width="0.6725260416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_5" -> "cluster_0_5" [weight="1601", label="__1_6K", width="0.6725260416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_11" -> "cluster_0_end" [weight="1", label="__1_31K", width="0.7452256944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_13" -> "cluster_0_11" [weight="1310", label="__1_31K", width="0.7452256944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_start" -> "cluster_0_11" [weight="1", label="__691", width="0.6365017361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_12" -> "cluster_0_11" [weight="691", label="__691", width="0.6365017361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_8" -> "cluster_0_9" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_9" -> "cluster_0_2" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_5" -> "cluster_0_7" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_7" -> "cluster_0_2" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
  subgraph cluster_1 {
    margin=0.5;
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    "cluster_1_start" [shape=box, width="3.3778775533040366", height="0.6111111111111112", margin="0.06944444444444445", label="Start__Pre_Assembly_Area"];
  "cluster_1_end" [shape=box, width="3.288112852308485", height="0.6111111111111112", margin="0.06944444444444445", label="End__Pre_Assembly_Area"];
  "cluster_1_1" [shape=box, width="2.2096930609809027", height="0.6111111111111112", margin="0.06944444444444445", label="E_Box_Assembly"];
  "cluster_1_2" [shape=box, width="1.990923563639323", height="0.6111111111111112", margin="0.06944444444444445", label="E_box_Testing"];
  "cluster_1_3" [shape=box, width="2.7564885881212025", height="0.6111111111111112", margin="0.06944444444444445", label="Valve_Group_Assembly"];
  "cluster_1_4" [shape=box, width="2.67185295952691", height="0.6111111111111112", margin="0.06944444444444445", label="Valve_Plate_Assembly"];
  "cluster_1_5" [shape=box, width="3.1301663716634116", height="0.6111111111111112", margin="0.06944444444444445", label="Wire_Cutting_and_Crimping"];
  "cluster_1_6" [shape=box, width="1.7952363755967882", height="0.6111111111111112", margin="0.06944444444444445", label="Wire_Fitting"];
    "cluster_1_3" -> "cluster_1_end" [weight="1", label="__51_3K", width="0.7671440972222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_start" -> "cluster_1_5" [weight="1", label="__72_7K", width="0.7814670138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_4" -> "cluster_1_3" [weight="51271", label="__51_3K", width="0.7671440972222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_6" -> "cluster_1_2" [weight="59056", label="__59_1K", width="0.7586805555555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_5" -> "cluster_1_1" [weight="69496", label="__69_5K", width="0.7940538194444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_1" -> "cluster_1_6" [weight="64040", label="__64K", width="0.66796875", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_2" -> "cluster_1_4" [weight="54655", label="__54_7K", width="0.7875434027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_1" -> "cluster_1_end" [weight="1", label="__5_46K", width="0.798828125", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_2" -> "cluster_1_end" [weight="1", label="__4_4K", width="0.7076822916666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_4" -> "cluster_1_end" [weight="1", label="__3_38K", width="0.7977430555555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_5" -> "cluster_1_end" [weight="1", label="__3_17K", width="0.7554253472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_6" -> "cluster_1_end" [weight="1", label="__4_98K", width="0.7979600694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
  subgraph cluster_2 {
    margin=0.5;
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    "cluster_2_start" [shape=box, width="3.4991881052652993", height="0.6111111111111112", margin="0.06944444444444445", label="Start__Final_Assembly_Area"];
  "cluster_2_end" [shape=box, width="3.409423404269748", height="0.6111111111111112", margin="0.06944444444444445", label="End__Final_Assembly_Area"];
  "cluster_2_1" [shape=box, width="2.291763517591688", height="0.6111111111111112", margin="0.06944444444444445", label="Assembly_Station"];
  "cluster_2_3" [shape=box, width="2.615942849053277", height="0.6111111111111112", margin="0.06944444444444445", label="Production_Complete"];
  "cluster_2_4" [shape=box, width="3.185307608710395", height="0.6111111111111112", margin="0.06944444444444445", label="Production_Order_Reviewed"];
  "cluster_2_5" [shape=box, width="2.829069561428494", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Assurance_Hold"];
  "cluster_2_7" [shape=box, width="2.5566978454589844", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Control_Hold"];
  "cluster_2_8" [shape=box, width="3.0460436079237194", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Control_Inspection"];
  "cluster_2_2" [shape=box, width="2.585678736368815", height="0.6111111111111112", margin="0.06944444444444445", label="Final_Testing_Station"];
  "cluster_2_11" [shape=box, width="2.8937000698513455", height="0.6111111111111112", margin="0.06944444444444445", label="Reject_Production_Order"];
  "cluster_2_9" [shape=box, width="2.8293259938557944", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Control_Release"];
  "cluster_2_6" [shape=box, width="3.101697709825304", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Assurance_Release"];
  "cluster_2_10" [shape=box, width="2.7754673428005643", height="0.6111111111111112", margin="0.06944444444444445", label="Quality_Control_Testing"];
    "cluster_2_start" -> "cluster_2_1" [weight="1", label="__45_6K", width="0.794921875", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_3" -> "cluster_2_end" [weight="1", label="__46_7K", width="0.7899305555555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_5" -> "cluster_2_4" [weight="11070", label="__11_1K", width="0.7098524305555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_5" [weight="11070", label="__11_1K", width="0.7098524305555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_3" -> "cluster_2_4" [weight="22140", label="__22_1K", width="0.7593315972222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_7" -> "cluster_2_8" [weight="34447", label="__34_4K", width="0.8049045138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_4" -> "cluster_2_3" [weight="46748", label="__46_7K", width="0.7899305555555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_1" -> "cluster_2_7" [weight="33210", label="__33_2K", width="0.8001302083333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_1" -> "cluster_2_end" [weight="1", label="__509", width="0.6586371527777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_4" [weight="1", label="__5_54K", width="0.7942708333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_4" -> "cluster_2_end" [weight="1", label="__2_47K", width="0.7944878472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_7" [weight="1", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_7" -> "cluster_2_end" [weight="1", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_8" [weight="1", label="__4_18K", width="0.7615017361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_end" [weight="1", label="__4_26K", width="0.7973090277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_7" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_1" [weight="1783", label="__1_78K", width="0.7582465277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_4" [weight="22140", label="__22_1K", width="0.7593315972222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_1" -> "cluster_2_2" [weight="39001", label="__39K", width="0.6671006944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_2" -> "cluster_2_1" [weight="24614", label="__24_6K", width="0.791015625", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_2" [weight="1", label="__2_47K", width="0.7944878472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_2" -> "cluster_2_end" [weight="1", label="__7_44K", width="0.7810329861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_2" -> "cluster_2_4" [weight="10477", label="__10_5K", width="0.7699652777777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_11" [weight="1", label="__1_78K", width="0.7582465277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_11" -> "cluster_2_end" [weight="1", label="__1_78K", width="0.7582465277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_11" -> "cluster_2_8" [weight="1310", label="__1_31K", width="0.7452256944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_5" -> "cluster_2_11" [weight="1310", label="__1_31K", width="0.7452256944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_9" [weight="1", label="__3_02K", width="0.7944878472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_9" -> "cluster_2_end" [weight="1", label="__1_96K", width="0.7706163194444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_9" -> "cluster_2_9" [weight="1601", label="__1_6K", width="0.6725260416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_9" -> "cluster_2_2" [weight="1055", label="__1_06K", width="0.7680121527777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_6" [weight="1", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_6" -> "cluster_2_8" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_6" -> "cluster_2_1" [weight="691", label="__691", width="0.6365017361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_8" -> "cluster_2_6" [weight="691", label="__691", width="0.6365017361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_start" -> "cluster_2_10" [weight="1", label="__1_53K", width="0.7690972222222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_10" -> "cluster_2_5" [weight="1310", label="__1_31K", width="0.7452256944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_2_10" -> "cluster_2_end" [weight="1", label="__218", width="0.6325954861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
  subgraph cluster_3 {
    margin=0.5;
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    "cluster_3_start" [shape=box, width="3.1347433725992837", height="0.8333333333333334", margin="0.06944444444444445", label="Start__Metal_Stampin..."];
  "cluster_3_end" [shape=box, width="3.155004713270399", height="0.8333333333333334", margin="0.06944444444444445", label="End__Metal_Stamping..."];
  "cluster_3_1" [shape=box, width="1.8024175431993272", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Break"];
  "cluster_3_5" [shape=box, width="2.6320999993218317", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Postprocessing"];
  "cluster_3_6" [shape=box, width="2.1784036424424915", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Producing"];
  "cluster_3_8" [shape=box, width="2.9747450086805554", height="0.6111111111111112", margin="0.06944444444444445", label="Metal_Stamping_Machine"];
  "cluster_3_2" [shape=box, width="3.0150108337402344", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Crane_not_available"];
  "cluster_3_3" [shape=box, width="2.168401082356771", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Microstop"];
  "cluster_3_7" [shape=box, width="2.5669564141167536", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Unknown_stop"];
  "cluster_3_4" [shape=box, width="3.180946562025282", height="0.6111111111111112", margin="0.06944444444444445", label="MSM_Other_technical_issue"];
    "cluster_3_5" -> "cluster_3_end" [weight="1", label="__25K", width="0.6599392361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_start" -> "cluster_3_8" [weight="1", label="__25_6K", width="0.7892795138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_1" -> "cluster_3_5" [weight="11070", label="__11_1K", width="0.7098524305555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_8" -> "cluster_3_6" [weight="23247", label="__23_2K", width="0.7953559027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_6" -> "cluster_3_1" [weight="23247", label="__23_2K", width="0.7953559027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_1" -> "cluster_3_end" [weight="1", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_start" -> "cluster_3_5" [weight="1", label="__3_2K", width="0.7029079861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_8" -> "cluster_3_end" [weight="1", label="__3_38K", width="0.7977430555555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_3" -> "cluster_3_2" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_2" -> "cluster_3_3" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_3" -> "cluster_3_5" [weight="6642", label="__6_64K", width="0.7962239583333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_1" -> "cluster_3_3" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_start" -> "cluster_3_2" [weight="1", label="__5_93K", width="0.796875", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_2" -> "cluster_3_end" [weight="1", label="__5_93K", width="0.796875", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_7" -> "cluster_3_5" [weight="5535", label="__5_54K", width="0.7942708333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_3" -> "cluster_3_7" [weight="5535", label="__5_54K", width="0.7942708333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_start" -> "cluster_3_7" [weight="1", label="__1_6K", width="0.6725260416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_7" -> "cluster_3_end" [weight="1", label="__1_6K", width="0.6725260416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_5" -> "cluster_3_7" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_7" -> "cluster_3_1" [weight="1491", label="__1_49K", width="0.7745225694444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_4" -> "cluster_3_5" [weight="1710", label="__1_71K", width="0.7371961805555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_5" -> "cluster_3_4" [weight="1710", label="__1_71K", width="0.7371961805555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_start" -> "cluster_3_4" [weight="1", label="__982", width="0.6569010416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_4" -> "cluster_3_8" [weight="982", label="__982", width="0.6569010416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
  subgraph cluster_4 {
    margin=0.5;
    rankdir=BT;
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    "cluster_4_start" [shape=box, width="3.1357688903808594", height="0.8333333333333334", margin="0.06944444444444445", label="Start__Plastic_Injectio..."];
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  "cluster_4_1" [shape=box, width="1.6890574561225042", height="0.6111111111111112", margin="0.06944444444444445", label="PIM_Break"];
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  "cluster_4_8" [shape=box, width="2.4535963270399304", height="0.6111111111111112", margin="0.06944444444444445", label="PIM_Unknown_stop"];
  "cluster_4_4" [shape=box, width="3.067586474948459", height="0.6111111111111112", margin="0.06944444444444445", label="PIM_Other_technical_issue"];
  "cluster_4_6" [shape=box, width="2.188918855455187", height="0.6111111111111112", margin="0.06944444444444445", label="PIM_Preparation"];
    "cluster_4_5" -> "cluster_4_end" [weight="1", label="__23_2K", width="0.7953559027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_9" [weight="1", label="__24_2K", width="0.7921006944444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_1" -> "cluster_4_5" [weight="11070", label="__11_1K", width="0.7098524305555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_9" -> "cluster_4_7" [weight="23247", label="__23_2K", width="0.7953559027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_7" -> "cluster_4_1" [weight="23247", label="__23_2K", width="0.7953559027777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_1" -> "cluster_4_end" [weight="1", label="__363", width="0.6647135416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_7" [weight="1", label="__4_66K", width="0.7962239583333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_7" -> "cluster_4_end" [weight="1", label="__1_64K", width="0.7706163194444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_9" -> "cluster_4_end" [weight="1", label="__2_77K", width="0.7845052083333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_7" -> "cluster_4_9" [weight="1783", label="__1_78K", width="0.7582465277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_3" -> "cluster_4_2" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_2" -> "cluster_4_3" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_3" -> "cluster_4_5" [weight="6642", label="__6_64K", width="0.7962239583333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_1" -> "cluster_4_3" [weight="12177", label="__12_2K", width="0.7725694444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_2" -> "cluster_4_end" [weight="1", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_3" [weight="1", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_3" -> "cluster_4_end" [weight="1", label="__2_37K", width="0.7894965277777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_2" -> "cluster_4_2" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_3" -> "cluster_4_8" [weight="5535", label="__5_54K", width="0.7942708333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_8" -> "cluster_4_5" [weight="5535", label="__5_54K", width="0.7942708333333334", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_8" [weight="1", label="__3_17K", width="0.7554253472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_8" -> "cluster_4_end" [weight="1", label="__3_17K", width="0.7554253472222222", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_7" -> "cluster_4_8" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_4" [weight="1", label="__8_08K", width="0.7931857638888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_4" -> "cluster_4_end" [weight="1", label="__8_08K", width="0.7931857638888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_6" -> "cluster_4_2" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_8" -> "cluster_4_6" [weight="1237", label="__1_24K", width="0.7693142361111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_start" -> "cluster_4_6" [weight="1", label="__363", width="0.6647135416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_6" -> "cluster_4_1" [weight="363", label="__363", width="0.6647135416666666", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
  subgraph cluster_5 {
    margin=0.5;
    rankdir=BT;
    ranksep=0.7;
    nodesep=0.3;
    "cluster_5_start" [shape=box, width="3.152952618069119", height="0.6111111111111112", margin="0.06944444444444445", label="Start__Production_Start"];
  "cluster_5_end" [shape=box, width="3.063187917073568", height="0.6111111111111112", margin="0.06944444444444445", label="End__Production_Start"];
  "cluster_5_1" [shape=box, width="3.1422201792399087", height="0.6111111111111112", margin="0.06944444444444445", label="Production_Order_Received"];
  "cluster_5_2" [shape=box, width="2.2209775712754993", height="0.6111111111111112", margin="0.06944444444444445", label="Production_Start"];
    "cluster_5_start" -> "cluster_5_1" [weight="1", label="__83_2K", width="0.7970920138888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_5_end" [weight="1", label="__78_3K", width="0.7855902777777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_5_2" [weight="78263", label="__78_3K", width="0.7855902777777778", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_5_end" [weight="1", label="__4_95K", width="0.7966579861111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }
    "cluster_0_8" -> "cluster_1_5" [weight="11070", label="2_links", width="1.2955729166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_0_12" -> "cluster_1_1" [weight="1710", label="2_links", width="1.3611111111111112", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_5" -> "cluster_1_5" [weight="11070", label=" __11_1K___ 11_1K", width="1.2955729166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_3_4" -> "cluster_1_2" [weight="982", label=" __982___ 982", width="1.1388888888888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_5" -> "cluster_1_5" [weight="11070", label=" __11_1K___ 11_1K", width="1.2955729166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_4" -> "cluster_1_5" [weight="1965", label=" __1_97K___ 1_97K", width="1.3897569444444444", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_4_1" -> "cluster_1_6" [weight="363", label=" __363___ 363", width="1.1545138888888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_1_3" -> "cluster_2_1" [weight="50580", label=" __50_6K___ 50_6K", width="1.4518229166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_0_13" [weight="42808", label=" __42_8K___ 42_8K", width="1.4661458333333333", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_0_12" [weight="691", label=" __691___ 691", width="1.0980902777777777", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_0_10" [weight="2474", label=" __2_47K___ 2_47K", width="1.4574652777777777", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_0_5" [weight="1601", label=" __1_6K___ 1_6K", width="1.2213541666666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_0_12" [weight="2328", label=" __2_33K___ 2_33K", width="1.4791666666666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_0_11" [weight="691", label=" __691___ 691", width="1.0980902777777777", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_3_8" [weight="11070", label=" __11_1K___ 11_1K", width="1.2955729166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_4_9" [weight="11070", label=" __11_1K___ 11_1K", width="1.2955729166666667", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_4_3" [weight="2365", label=" __2_37K___ 2_37K", width="1.4592013888888888", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_4_8" [weight="2474", label=" __2_47K___ 2_47K", width="1.4574652777777777", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_1" -> "cluster_4_4" [weight="1310", label=" __1_31K___ 1_31K", width="1.3671875", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  "cluster_5_2" -> "cluster_4_7" [weight="1783", label=" __1_78K___ 1_78K", width="1.4032118055555556", height="0.2777777777777778", fontname="Helvetica", fontsize="15pt"];
  }

```