diff --git a/research/receiver-window-all-length-floor/README.md b/research/receiver-window-all-length-floor/README.md
new file mode 100644
index 0000000000..9b367f8b39
--- /dev/null
+++ b/research/receiver-window-all-length-floor/README.md
@@ -0,0 +1,252 @@
+# All-length cost floor for the 128 PR4470 receiver windows
+
+For each of the **128 adjacent receiver windows** extracted from the pinned
+PR4470 constructor, the incumbent minimizes the paid rank cost among **all
+finite shear words on the same three persistent fields**, with the same scalar
+endpoint and monotone fixed entrance/exit frames. There is **no length or
+rational-coefficient cap**. The conclusion holds for every price `r^p`,
+`0 < p < 1`, hence every saving `0 < C < 1` with `p = 1-C`.
+
+This is a computer-assisted, scoped cost-floor proof, not a new kappa,
+physical supplier, global optimum, or selected-frontier change. The finite part
+has **1,303 reachable states and 239 window/profile pairs**, checked with exact
+integers. All seven constructor inputs are SHA256-pinned at canonical main
+`f626db5c3a3d781d8f7695038776c621651f75e1`. Every boundary, incumbent and terminal
+rank partition is in [RESULT.json](RESULT.json). The written reduction below
+is essential: a finite calculation alone does not establish an all-length result.
+
+## Delta and coordination
+
+Clear1nsight's [#4546](https://github.com/CrocSwap/integer-mult-bounds/pull/4546)
+at `55b8d34c82fc4df6499c5037e156db6e990b96fe` tested words through four unit
+shears in twelve windows. Ryanson Jonathan's
+[#4567](https://github.com/CrocSwap/integer-mult-bounds/pull/4567) at
+`50fedd98cda709707e4291c542e20ead96bcc786` extends the census to all 128 windows,
+length six and bounded nonunit alphabets; its README explicitly asks for a
+length-independence proof. This package answers the **cost-floor** part with a
+different relaxation: directed potential source dependence and frame dimensions.
+It imports neither predecessor's search/checking code and does not assume their
+finite results. It reuses Cinna Davis's credited #4470 constructor for native data.
+Separate implementation does not mean independent human or formal review.
+
+The `independent-moment` card is refined from its older named suppliers to this
+live handoff. Closing an unbounded search direction in a fixed invoice model
+identifies which premises must change before further construction searches.
+[Discussion #4577](https://github.com/CrocSwap/integer-mult-bounds/discussions/4577)
+is the canonical investigation thread.
+
+**Concurrent work.** The submission refresh discovered
+[#4573](https://github.com/CrocSwap/integer-mult-bounds/discussions/4573) and
+[#4574](https://github.com/CrocSwap/integer-mult-bounds/discussions/4574), posted
+after the initial overlap snapshot, investigating the same all-length question.
+#4573 also proposes a dimension/temporal-contact relaxation; #4574 proposes
+mandatory-contact bounds. This package is an **independent certificate
+implementation and corroborating proof**, not a claim of priority or an
+exclusive new question. Its specific evidence is the complete integer
+capped-rank comparison for every concave price, with geometric and
+premise-removal controls. Coordination updates were posted in both threads.
+
+## Model and theorem
+
+Label the persistent fields `a,b,x` by `0,1,2`. Their arbitrary initial scalar
+values are independent formal variables. The required scalar endpoint is
+
+```
+a <- a + ca*x,   b <- b + cb*x,   x <- x,
+```
+
+where the source windows have `ca,cb` in `{+1,-1}`. A replacement is any finite
+word `y_i <- y_i + c*y_j`, `i != j`, with rational coefficients and that exact
+endpoint. Both operands of every gate have one common binary frame in `F2^9`.
+Each field's frames grow by inclusion from fixed `S_i` to fixed `E_i`. Every
+positive dimension increment, including the exit gap, is charged by its rank.
+No extra/owned field, frame decrease, free transport or changed boundary is
+allowed. Scalar-height charges are omitted in the replacement's favor; adding
+nonnegative charges cannot defeat the lower bound. The common moment
+normalization does not affect this local comparison.
+
+**Theorem.** In each extracted window, every replacement in this model costs
+at least the incumbent under `r^p` for every `0<p<1`. The incumbent has the
+required endpoint and a legal monotone path, so the minimum equals its cost.
+Windows are considered individually: no overlapping gains may be summed.
+
+### 1. A finite relaxation contains every legal word
+
+The state is `(d_0,d_1,d_2,M)`, with current dimensions and a three-bit mask.
+Initially `d_i=dim S_i` and `M=100` (binary). At a gate with destination `i`
+and source `j`, update
+
+```
+M' = M union {i if j is in M}.
+```
+
+Inductively, any field with a nonzero exact coefficient of initial `x` belongs
+to `M`: a shear cannot create it unless it was present in its destination or
+source. Cancellation can only make the mask overestimate dependence. The
+required endpoint has nonzero `x` coefficients in both receivers, so valid
+termination requires `M=111`. Ignoring the exact coefficients and the other
+initial variables enlarges the candidate set. There is no coefficient bound.
+
+The common frame `F` at a contact necessarily satisfies
+
+```
+S_i + S_j <= F <= E_i intersection E_j.
+```
+
+Exclude a pair if either start is outside the other exit. Otherwise enumerate
+every integer common dimension
+
+```
+max(d_i, d_j, dim(S_i+S_j)) <= h <= dim(E_i intersection E_j).
+```
+
+Set both dimensions to `h`, update `M`, and append positive ranks `h-d_i` and
+`h-d_j`. Actual intermediate subspaces and tighter chronological bounds are
+forgotten. Every legal common frame maps to such a transition; the converse
+is not asserted.
+
+At any state with `M=111`, termination appends every positive rank
+`dim E_i-d_i`. If an implementation splits a climb, aggregate increments
+between consecutive contacts on that field, or between its last contact and
+exit. For concave `f` with `f(0)=0`, concavity gives
+`f(u+v) <= f(u)+f(v)`. Thus aggregation can only reduce cost. Every actual
+word maps to a relaxed path with cost no greater than its actual bill.
+
+### 2. The enumeration has no hidden length cutoff
+
+Every dimension and dependency bit is nondecreasing. An edge that leaves the
+state unchanged adds no positive rank. Removing it preserves all future
+transitions and terminal options **in this relaxation**; this is not a claim
+that its shear can be deleted from the actual scalar word.
+
+Every other edge strictly increases
+`Phi=d_0+d_1+d_2+popcount(M)`. The reduced graph is therefore a DAG, with at
+most `sum_i(dim E_i-dim S_i)+2 <= 29` nontrivial edges on a path and at most
+`4*product_i(dim E_i-dim S_i+1)` states. The `x` bit always stays set.
+
+`relaxed_profiles` explores every allowed edge and unions its appended ranks
+with every suffix partition, also including every permitted terminal option.
+Induction on remaining `Phi` proves it enumerates all relaxed terminal
+partitions. Removed self-loops add no ranks. Every terminal partition has
+telescoping mass `sum_i(dim E_i-dim S_i)`, which the code checks explicitly.
+
+### 3. Integer dominance proves every concave-price comparison
+
+For a partition `v`, set `B_k(v)=sum_{r in v} min(r,k)` for `k=1,...,9`.
+For every terminal `v` and incumbent `u`, the replay checks
+
+```
+sum(u) = sum(v),     B_k(u) <= B_k(v) for k=1,...,9.
+```
+
+These inequalities are a discrete majorization certificate. For completeness,
+put `delta_k=f(k)-f(k-1)`. Concavity makes these deltas nonincreasing. For
+integer `0<=r<=9`, telescoping yields
+
+```
+f(r) = delta_9*r
+       + sum_{k=1}^8 (delta_k-delta_{k+1})*min(r,k).
+```
+
+The mass term cancels; every remaining coefficient is nonnegative. Hence
+`sum f(u)<=sum f(v)` for every concave `f` on these ranks with `f(0)=0`, in
+particular `r^p`, `0<p<1`. No floating point, logarithm, root enclosure or
+rounding is used. Combining the three steps proves the theorem.
+
+## Source binding and evidence
+
+The pinned `native_joint.construct()` runs in an isolated child Python with a
+fresh private bytecode cache. No unmerged Git object or predecessor verifier
+is needed. The new extractor scans the forward program with climb events
+omitted, retaining each persistent field's last frame. It selects consecutive
+ADDs in `B` or `cleanup_tail` with a common source, distinct receivers and unit
+coefficients. Each exit is its field's next scalar/warp entrance or final frame.
+The two original contacts and every exit gap determine the incumbent; their
+inclusions are checked exactly.
+
+| Evidence | Result |
+|---|---:|
+| Eligible windows | 128: 123 B, 5 cleanup_tail |
+| Reachable states, summed over windows | 1,303 |
+| Terminal window/profile pairs | 239 |
+| Incumbent admitted and dominating every profile | All 128 windows |
+| Profile-count distribution | 93x1, 9x2, 6x3, 2x4, 13x5, 4x7, 1x9 |
+| Exact unit-shear endpoint words through length 4 in a control fixture | 84 |
+| Legal `F2^2` common-frame paths for those words inside the relaxation | 2,868 |
+
+The small geometric fixture tests the abstraction on concrete paths; it does
+not prove its universal soundness. Three weakened-model controls expose strict
+false savings for every `0<p<1`:
+
+| Removed premise | Window | Incumbent | Falsely admitted |
+|---|---:|---|---|
+| Directed source-dependence requirement | 10557 | `(1,1,1)` | `(2,1)` |
+| Exit-intersection dimension cap | 11078 | `(1,1,1,1)` | `(2,2)` |
+| Terminal exit charges | 10554 | `(2)` | empty |
+
+The normal model excludes each false gain. Dimension mass or uncharged cleanup
+alone therefore cannot establish the floor.
+
+## Reproduce
+
+Python 3.12, standard library only, from the repository root:
+
+```sh
+python3.12 -B scripts/research_package.py --package research/receiver-window-all-length-floor
+python3.12 -I -O -B research/receiver-window-all-length-floor/verify.py
+```
+
+Both recompute and compare the complete `RESULT.json` receipt, without
+rewriting it. `--write` explicitly authors the receipt. Windows/CPython 3.12.0
+takes about three seconds. All acceptance checks remain active under `-O`.
+The PR records publication and export checks. Full supplier/native/physical
+and selected-frontier replays are outside scope. The historical baseline was
+attempted in the sparse checkout but stopped at a missing selected-package
+file; no baseline success is claimed.
+
+## Overlap and limitations
+
+Initial overlap covered 355 open PRs and 3,470 Discussion records with complete
+remote pagination around 2026-10-22 07:48–07:50 UTC. Local search was sparse,
+7/5,860 note paths; relevant main inputs and live #4546/#4567 material were read
+directly. This is not a novelty guarantee. The selected result remains
+`23/10000`. The central ledger labels #4470 partially reviewed; this result
+does not upgrade its admission status.
+
+At the submission refresh main remained `f626db5c3a3d781d8f7695038776c621651f75e1`.
+#4567 had advanced to `5ac594d1bc1e6d91f20ef8157f38bb9b29768bfd`, adding 88
+nonadjacent pairs and a whole-word single-contact retiming check. Those newer
+scopes are outside this package; none of its runtime inputs come from #4567.
+
+The theorem covers pinned **forward adjacent windows with fixed boundaries**.
+It does not assert equality of #4546's whole relaxed-profile set at every
+length, exact scalar realizability of every state path, or geometric
+attainability of every partition. These stronger statements are unnecessary
+for the lower bound. Extra/owned fields, nonmonotone frames, new operations,
+nonadjacent or jointly overlapping windows and changed producer/consumer
+contracts are outside scope. Native correctness, physical lowering, precision,
+stock, hosting, reverse admission and all-size multiplication remain separate.
+
+## Open next questions
+
+1. **Change a boundary premise before searching again.** Extra fields or
+   nonmonotone transports could escape the DAG. First name one actual window
+   and specify all entrance, exit and restoration costs of the changed model,
+   then derive its optimistic graph. The missing complete cost contract is
+   the blocker; unknown costs cannot be zero.
+2. **Independently review the all-length reduction.** Check the dependency
+   induction, state-edge deletion and concave aggregation against the exact
+   caller, then replay the integer certificate. Finite tests alone cannot
+   establish that reduction. No independent human or formal review is claimed.
+   No further length/coefficient census is justified inside the proved model.
+
+## Credit and license
+
+Credit Chris R / Clear1nsight (#4546's model and finite ceilings), Ryanson
+Jonathan (#4567's census and explicit all-length question), Cinna Davis
+(#4470's constructor), zxv (productive-helper and receiver-sharing work),
+Jacob Alan Sussman, and the native/Clifford/geometry/outer contributors credited
+in the source packages. Prepared for mihir-s-05 with substantial OpenAI Codex
+assistance. Apache-2.0. Predecessor packages and frozen evidence are unchanged.
+The concurrent mihir-s-05/Codex investigations #4573 and #4574 are acknowledged
+above; no independent human review is implied by their separate sessions.
diff --git a/research/receiver-window-all-length-floor/RESULT.json b/research/receiver-window-all-length-floor/RESULT.json
new file mode 100644
index 0000000000..3fec4b9b51
--- /dev/null
+++ b/research/receiver-window-all-length-floor/RESULT.json
@@ -0,0 +1,10742 @@
+{
+  "failure_controls": {
+    "drop_directed_dependency": {
+      "falsely_admitted": [
+        2,
+        1
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10557
+    },
+    "drop_exit_intersection": {
+      "falsely_admitted": [
+        2,
+        2
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11078
+    },
+    "drop_terminal_charge": {
+      "falsely_admitted": [],
+      "incumbent": [
+        2
+      ],
+      "index": 10554
+    }
+  },
+  "geometric_control": {
+    "concave_basis_checks": 90,
+    "endpoint_words": 84,
+    "geometric_paths": 2868
+  },
+  "new_kappa": false,
+  "profile_count_histogram": {
+    "1": 93,
+    "2": 9,
+    "3": 6,
+    "4": 2,
+    "5": 13,
+    "7": 4,
+    "9": 1
+  },
+  "reachable_states": 1303,
+  "schema": "receiver-window-all-length-floor/v1",
+  "source_base": "f626db5c3a3d781d8f7695038776c621651f75e1",
+  "source_files_checked": 7,
+  "status": "PASS_ALL_LENGTH_RECEIVER_FLOOR",
+  "window_count": 128,
+  "window_profile_pairs": 239,
+  "windows": [
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [],
+        []
+      ],
+      "exit_bases": [
+        [],
+        [
+          224,
+          30
+        ],
+        []
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 10554,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        162,
+        172,
+        513
+      ],
+      "start_bases": [
+        [],
+        [],
+        []
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        1
+      ],
+      "contact_bases": [
+        [],
+        []
+      ],
+      "exit_bases": [
+        [
+          224,
+          30
+        ],
+        [],
+        []
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 10555,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        172,
+        196,
+        513
+      ],
+      "start_bases": [
+        [],
+        [],
+        []
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          416,
+          30
+        ],
+        [
+          30
+        ],
+        [
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10557,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        140,
+        144,
+        502
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 10558,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        144,
+        187,
+        502
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          51
+        ],
+        [
+          388,
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10560,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        168,
+        150,
+        548
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          388,
+          51
+        ],
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10561,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        150,
+        115,
+        548
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          196,
+          51
+        ],
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10563,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        131,
+        117,
+        560
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 10564,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        117,
+        584,
+        560
+      ],
+      "start_bases": [
+        [],
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [],
+        []
+      ],
+      "exit_bases": [
+        [
+          30
+        ],
+        [
+          491,
+          30
+        ],
+        [
+          459,
+          38,
+          30
+        ]
+      ],
+      "incumbent": [
+        3,
+        2,
+        1
+      ],
+      "index": 10575,
+      "phase": "B",
+      "reachable_states": 20,
+      "roles": [
+        205,
+        170,
+        452
+      ],
+      "start_bases": [
+        [],
+        [],
+        []
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          2,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          448,
+          21,
+          11
+        ]
+      ],
+      "incumbent": [
+        2,
+        1,
+        1
+      ],
+      "index": 10577,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        118,
+        194,
+        453
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [],
+        []
+      ],
+      "exit_bases": [
+        [
+          51
+        ],
+        [
+          37,
+          22
+        ],
+        [
+          448,
+          38,
+          21
+        ]
+      ],
+      "incumbent": [
+        3,
+        2,
+        1
+      ],
+      "index": 10579,
+      "phase": "B",
+      "reachable_states": 20,
+      "roles": [
+        120,
+        207,
+        454
+      ],
+      "start_bases": [
+        [],
+        [],
+        []
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          2,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          469,
+          51,
+          11
+        ]
+      ],
+      "incumbent": [
+        2,
+        1,
+        1
+      ],
+      "index": 10581,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        192,
+        179,
+        455
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [],
+        []
+      ],
+      "exit_bases": [
+        [
+          321,
+          30
+        ],
+        [],
+        [
+          289,
+          140,
+          30
+        ]
+      ],
+      "incumbent": [
+        3,
+        2
+      ],
+      "index": 10607,
+      "phase": "B",
+      "reachable_states": 8,
+      "roles": [
+        145,
+        135,
+        583
+      ],
+      "start_bases": [
+        [],
+        [],
+        []
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          392,
+          67,
+          51
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        2
+      ],
+      "index": 10788,
+      "phase": "B",
+      "reachable_states": 20,
+      "roles": [
+        622,
+        624,
+        548
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          2,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 10791,
+      "phase": "B",
+      "reachable_states": 47,
+      "roles": [
+        622,
+        623,
+        401
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          264,
+          136,
+          85,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          264,
+          136,
+          66,
+          35,
+          16,
+          7
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 10792,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        623,
+        624,
+        401
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 10795,
+      "phase": "B",
+      "reachable_states": 5,
+      "roles": [
+        622,
+        623,
+        403
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          264,
+          136,
+          85,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          1,
+          6,
+          50,
+          82,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        4,
+        1
+      ],
+      "index": 10796,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        623,
+        625,
+        403
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          51
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          264,
+          136,
+          65,
+          32,
+          19,
+          7
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 10798,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        622,
+        624,
+        626
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          2,
+          5,
+          49,
+          80,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 10799,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        624,
+        625,
+        626
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          82,
+          51,
+          10,
+          7
+        ],
+        [
+          257,
+          129,
+          82,
+          51,
+          9,
+          7
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 10801,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        623,
+        624,
+        627
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "exit_bases": [
+        [
+          257,
+          129,
+          82,
+          51,
+          9,
+          7
+        ],
+        [
+          7,
+          24,
+          43,
+          74,
+          136,
+          264
+        ],
+        [
+          7,
+          27,
+          40,
+          73,
+          136,
+          264
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 10802,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        624,
+        625,
+        627
+      ],
+      "start_bases": [
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ],
+        [
+          7,
+          51,
+          82,
+          136,
+          264
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          414,
+          81,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "exit_bases": [
+        [
+          414,
+          81,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11073,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        283,
+        277,
+        281
+      ],
+      "start_bases": [
+        [
+          81,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          463,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          388,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "exit_bases": [
+        [
+          388,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11076,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        100,
+        273,
+        12
+      ],
+      "start_bases": [
+        [
+          388,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          41,
+          26
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          388,
+          81,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "exit_bases": [
+        [
+          388,
+          81,
+          48,
+          3
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11078,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        56,
+        282,
+        285
+      ],
+      "start_bases": [
+        [
+          388,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          81,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          463,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "exit_bases": [
+        [
+          391,
+          72,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11081,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        287,
+        275,
+        31
+      ],
+      "start_bases": [
+        [
+          463,
+          51
+        ],
+        [
+          388,
+          75,
+          41,
+          26
+        ],
+        [
+          41,
+          26
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          273,
+          145,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          273,
+          145,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11099,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        299,
+        293,
+        297
+      ],
+      "start_bases": [
+        [
+          273,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          145,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          324,
+          196,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          324,
+          196,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11102,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        54,
+        289,
+        101
+      ],
+      "start_bases": [
+        [
+          196,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          324,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          273,
+          196,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          273,
+          136,
+          76,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11104,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        102,
+        298,
+        301
+      ],
+      "start_bases": [
+        [
+          196,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          273,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          324,
+          145,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          264,
+          145,
+          76,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11107,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        303,
+        291,
+        55
+      ],
+      "start_bases": [
+        [
+          145,
+          51
+        ],
+        [
+          273,
+          145,
+          85,
+          51
+        ],
+        [
+          324,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          385,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          385,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11127,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        315,
+        309,
+        313
+      ],
+      "start_bases": [
+        [
+          385,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          44,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          429,
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          429,
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11130,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        48,
+        305,
+        98
+      ],
+      "start_bases": [
+        [
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          487,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          385,
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          385,
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          384,
+          74,
+          44,
+          30,
+          1
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11132,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        32,
+        314,
+        317
+      ],
+      "start_bases": [
+        [
+          385,
+          74,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          385,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          459,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          391,
+          76,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11135,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        319,
+        307,
+        85
+      ],
+      "start_bases": [
+        [
+          44,
+          30
+        ],
+        [
+          385,
+          74,
+          44,
+          30
+        ],
+        [
+          487,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          321,
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          321,
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11154,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        331,
+        325,
+        329
+      ],
+      "start_bases": [
+        [
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          321,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          266,
+          138,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          266,
+          138,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11157,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        34,
+        321,
+        49
+      ],
+      "start_bases": [
+        [
+          266,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          138,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          266,
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          266,
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          266,
+          138,
+          74,
+          30,
+          1
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11159,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        50,
+        330,
+        333
+      ],
+      "start_bases": [
+        [
+          266,
+          193,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          193,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          321,
+          138,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          138,
+          97,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11162,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        335,
+        323,
+        33
+      ],
+      "start_bases": [
+        [
+          321,
+          30
+        ],
+        [
+          266,
+          138,
+          75,
+          30
+        ],
+        [
+          138,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          429,
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "exit_bases": [
+        [
+          429,
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11180,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        347,
+        341,
+        345
+      ],
+      "start_bases": [
+        [
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          491,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          416,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "exit_bases": [
+        [
+          416,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          257,
+          161,
+          70,
+          19,
+          13
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1,
+        1
+      ],
+      "index": 11183,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        82,
+        337,
+        6
+      ],
+      "start_bases": [
+        [
+          416,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          19,
+          13
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          416,
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "exit_bases": [
+        [
+          416,
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11185,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        75,
+        346,
+        349
+      ],
+      "start_bases": [
+        [
+          416,
+          70,
+          30
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          70,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          486,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ]
+      ],
+      "exit_bases": [
+        [
+          486,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          257,
+          161,
+          70,
+          19,
+          13
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11188,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        351,
+        339,
+        1
+      ],
+      "start_bases": [
+        [
+          486,
+          19,
+          13
+        ],
+        [
+          416,
+          70,
+          19,
+          13
+        ],
+        [
+          19,
+          13
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          262,
+          134,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          262,
+          134,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11205,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        363,
+        357,
+        361
+      ],
+      "start_bases": [
+        [
+          262,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          134,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          352,
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          352,
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11208,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        73,
+        353,
+        83
+      ],
+      "start_bases": [
+        [
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          352,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          262,
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          262,
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11210,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        84,
+        362,
+        365
+      ],
+      "start_bases": [
+        [
+          262,
+          224,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          262,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          352,
+          134,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          352,
+          134,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11213,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        367,
+        355,
+        74
+      ],
+      "start_bases": [
+        [
+          352,
+          134,
+          30
+        ],
+        [
+          262,
+          134,
+          102,
+          30
+        ],
+        [
+          352,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          392,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "exit_bases": [
+        [
+          392,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11231,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        379,
+        373,
+        377
+      ],
+      "start_bases": [
+        [
+          392,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          37,
+          22
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          414,
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "exit_bases": [
+        [
+          414,
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11234,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        67,
+        369,
+        80
+      ],
+      "start_bases": [
+        [
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          477,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          392,
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "exit_bases": [
+        [
+          392,
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11236,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        3,
+        378,
+        381
+      ],
+      "start_bases": [
+        [
+          392,
+          67,
+          51
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          392,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          459,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "exit_bases": [
+        [
+          459,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11239,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        383,
+        371,
+        88
+      ],
+      "start_bases": [
+        [
+          459,
+          37,
+          22
+        ],
+        [
+          392,
+          67,
+          37,
+          22
+        ],
+        [
+          477,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          328,
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          328,
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11260,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        395,
+        389,
+        393
+      ],
+      "start_bases": [
+        [
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          328,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          259,
+          131,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          259,
+          131,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11263,
+      "phase": "B",
+      "reachable_states": 9,
+      "roles": [
+        5,
+        385,
+        68
+      ],
+      "start_bases": [
+        [
+          259,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          131,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          259,
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          259,
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11265,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        69,
+        394,
+        397
+      ],
+      "start_bases": [
+        [
+          259,
+          200,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          200,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          328,
+          131,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "exit_bases": [
+        [
+          328,
+          131,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11268,
+      "phase": "B",
+      "reachable_states": 7,
+      "roles": [
+        399,
+        387,
+        4
+      ],
+      "start_bases": [
+        [
+          328,
+          131,
+          51
+        ],
+        [
+          259,
+          131,
+          75,
+          51
+        ],
+        [
+          131,
+          51
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [
+        4,
+        4
+      ],
+      "index": 11472,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        586,
+        587,
+        349
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          266,
+          138,
+          74,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 11473,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        587,
+        588,
+        349
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [],
+      "index": 11475,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        586,
+        587,
+        243
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          32,
+          19,
+          13
+        ]
+      ],
+      "incumbent": [
+        4,
+        1
+      ],
+      "index": 11476,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        587,
+        589,
+        243
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          271,
+          143,
+          79,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11478,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        586,
+        588,
+        365
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          37,
+          22,
+          8
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11479,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        588,
+        589,
+        365
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          41,
+          26,
+          4
+        ],
+        [
+          320,
+          192,
+          44,
+          30,
+          1
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11481,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        587,
+        588,
+        361
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          320,
+          192,
+          44,
+          30,
+          1
+        ],
+        [
+          262,
+          134,
+          70,
+          45,
+          30
+        ],
+        [
+          259,
+          131,
+          67,
+          45,
+          30
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11482,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        588,
+        589,
+        361
+      ],
+      "start_bases": [
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ],
+        [
+          320,
+          192,
+          45,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        5,
+        5
+      ],
+      "index": 11495,
+      "phase": "B",
+      "reachable_states": 29,
+      "roles": [
+        590,
+        591,
+        558
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2,
+          2
+        ],
+        [
+          4,
+          4,
+          1,
+          1
+        ],
+        [
+          5,
+          5
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          264,
+          145,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        5,
+        5,
+        1
+      ],
+      "index": 11496,
+      "phase": "B",
+      "reachable_states": 29,
+      "roles": [
+        591,
+        592,
+        558
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2,
+          2,
+          1
+        ],
+        [
+          4,
+          4,
+          1,
+          1,
+          1
+        ],
+        [
+          5,
+          5,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [],
+      "index": 11499,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        590,
+        591,
+        559
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          401,
+          80,
+          32,
+          8,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        5,
+        1
+      ],
+      "index": 11500,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        591,
+        593,
+        559
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          5,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          385,
+          72,
+          40,
+          24,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11503,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        590,
+        592,
+        544
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          280,
+          129,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11504,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        592,
+        593,
+        544
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          408,
+          80,
+          40,
+          4,
+          2,
+          1
+        ],
+        [
+          273,
+          136,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11506,
+      "phase": "B",
+      "reachable_states": 5,
+      "roles": [
+        591,
+        592,
+        405
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "exit_bases": [
+        [
+          273,
+          136,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          392,
+          65,
+          40,
+          17,
+          5,
+          2
+        ],
+        [
+          257,
+          152,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11507,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        592,
+        593,
+        405
+      ],
+      "start_bases": [
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ],
+        [
+          409,
+          80,
+          40,
+          5,
+          2
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          272,
+          144,
+          74,
+          42,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        2
+      ],
+      "index": 11524,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        595,
+        596,
+        410
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          2,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "incumbent": [],
+      "index": 11526,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        594,
+        595,
+        417
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          272,
+          144,
+          67,
+          34,
+          8,
+          7
+        ]
+      ],
+      "incumbent": [
+        4,
+        2
+      ],
+      "index": 11527,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        595,
+        597,
+        417
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          4,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          266,
+          138,
+          75,
+          42,
+          26,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11529,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        594,
+        596,
+        419
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          259,
+          131,
+          75,
+          42,
+          19,
+          7
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11530,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        596,
+        597,
+        419
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          272,
+          144,
+          72,
+          41,
+          4,
+          3
+        ],
+        [
+          264,
+          136,
+          75,
+          42,
+          24,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "incumbent": [
+        2,
+        2
+      ],
+      "index": 11532,
+      "phase": "B",
+      "reachable_states": 8,
+      "roles": [
+        595,
+        596,
+        421
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          264,
+          136,
+          75,
+          42,
+          24,
+          7
+        ],
+        [
+          257,
+          129,
+          75,
+          42,
+          17,
+          7
+        ],
+        [
+          272,
+          144,
+          65,
+          32,
+          10,
+          7
+        ]
+      ],
+      "incumbent": [
+        2,
+        2,
+        2
+      ],
+      "index": 11533,
+      "phase": "B",
+      "reachable_states": 20,
+      "roles": [
+        596,
+        597,
+        421
+      ],
+      "start_bases": [
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ],
+        [
+          144,
+          75,
+          42,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ]
+      ],
+      "exit_bases": [
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ]
+      ],
+      "incumbent": [
+        4,
+        4
+      ],
+      "index": 11551,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        598,
+        599,
+        1
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ]
+      ],
+      "exit_bases": [
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ],
+        [
+          260,
+          132,
+          66,
+          35,
+          16,
+          9
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 11552,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        599,
+        600,
+        1
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          260,
+          132,
+          75,
+          42,
+          25
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ]
+      ],
+      "exit_bases": [
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 11575,
+      "phase": "B",
+      "reachable_states": 19,
+      "roles": [
+        602,
+        603,
+        426
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ]
+      ],
+      "exit_bases": [
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ],
+        [
+          385,
+          66,
+          34,
+          17,
+          8,
+          6
+        ]
+      ],
+      "incumbent": [
+        3,
+        3,
+        2
+      ],
+      "index": 11576,
+      "phase": "B",
+      "reachable_states": 19,
+      "roles": [
+        603,
+        604,
+        426
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          391,
+          68,
+          34,
+          17
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ]
+      ],
+      "incumbent": [
+        4,
+        4
+      ],
+      "index": 11596,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        606,
+        607,
+        545
+      ],
+      "start_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ]
+      ],
+      "exit_bases": [
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ],
+        [
+          257,
+          129,
+          66,
+          36,
+          16,
+          14
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 11597,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        607,
+        608,
+        545
+      ],
+      "start_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          257,
+          129,
+          76,
+          42,
+          30
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          423,
+          65,
+          20,
+          10
+        ]
+      ],
+      "exit_bases": [
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          423,
+          65,
+          20,
+          10
+        ]
+      ],
+      "incumbent": [
+        4,
+        4
+      ],
+      "index": 11623,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        610,
+        611,
+        250
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          423,
+          65,
+          20,
+          10
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          423,
+          65,
+          20,
+          10
+        ]
+      ],
+      "exit_bases": [
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          423,
+          65,
+          20,
+          10
+        ],
+        [
+          388,
+          65,
+          32,
+          20,
+          9,
+          3
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        2
+      ],
+      "index": 11624,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        611,
+        612,
+        250
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          423,
+          65,
+          20,
+          10
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          2,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [
+        4,
+        4
+      ],
+      "index": 11647,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        614,
+        615,
+        524
+      ],
+      "start_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2
+        ],
+        [
+          3,
+          3,
+          1,
+          1
+        ],
+        [
+          4,
+          4
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          66,
+          16,
+          9,
+          7
+        ]
+      ],
+      "incumbent": [
+        4,
+        4,
+        1
+      ],
+      "index": 11648,
+      "phase": "B",
+      "reachable_states": 24,
+      "roles": [
+        615,
+        616,
+        524
+      ],
+      "start_bases": [
+        [
+          30
+        ],
+        [
+          30
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1
+        ],
+        [
+          4,
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [],
+      "index": 11651,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        614,
+        615,
+        557
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          265,
+          137,
+          75,
+          41,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [
+        4,
+        1
+      ],
+      "index": 11652,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        615,
+        617,
+        557
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          30
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          4,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          67,
+          17,
+          8,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11654,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        614,
+        616,
+        536
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          264,
+          136,
+          75,
+          40,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11655,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        616,
+        617,
+        536
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          75,
+          34,
+          25,
+          7
+        ],
+        [
+          259,
+          131,
+          75,
+          35,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11657,
+      "phase": "B",
+      "reachable_states": 5,
+      "roles": [
+        615,
+        616,
+        442
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "exit_bases": [
+        [
+          259,
+          131,
+          75,
+          35,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          72,
+          25,
+          4,
+          3
+        ],
+        [
+          288,
+          160,
+          73,
+          25,
+          5,
+          2
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11658,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        616,
+        617,
+        442
+      ],
+      "start_bases": [
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ],
+        [
+          288,
+          160,
+          75,
+          25,
+          7
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        5,
+        5
+      ],
+      "index": 11672,
+      "phase": "B",
+      "reachable_states": 29,
+      "roles": [
+        618,
+        619,
+        333
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2,
+          2
+        ],
+        [
+          4,
+          4,
+          1,
+          1
+        ],
+        [
+          5,
+          5
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          392,
+          66,
+          34,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        5,
+        5,
+        1
+      ],
+      "index": 11673,
+      "phase": "B",
+      "reachable_states": 29,
+      "roles": [
+        619,
+        620,
+        333
+      ],
+      "start_bases": [
+        [],
+        [],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          2,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2,
+          2,
+          1
+        ],
+        [
+          4,
+          4,
+          1,
+          1,
+          1
+        ],
+        [
+          5,
+          5,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [],
+      "index": 11675,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        618,
+        619,
+        317
+      ],
+      "start_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          296,
+          130,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        1,
+        1
+      ],
+      "index": 11679,
+      "phase": "B",
+      "reachable_states": 5,
+      "roles": [
+        618,
+        620,
+        257
+      ],
+      "start_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          427,
+          96,
+          24,
+          6
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          424,
+          96,
+          24,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11680,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        620,
+        621,
+        257
+      ],
+      "start_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          168,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          418,
+          96,
+          16,
+          8,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11682,
+      "phase": "B",
+      "reachable_states": 5,
+      "roles": [
+        619,
+        620,
+        245
+      ],
+      "start_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          427,
+          96,
+          24,
+          6
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          418,
+          96,
+          16,
+          8,
+          6,
+          1
+        ],
+        [
+          290,
+          136,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          386,
+          72,
+          40,
+          24,
+          6,
+          1
+        ]
+      ],
+      "incumbent": [
+        1,
+        1,
+        1
+      ],
+      "index": 11683,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        620,
+        621,
+        245
+      ],
+      "start_bases": [
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ],
+        [
+          426,
+          96,
+          24,
+          6,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 11705,
+      "phase": "B",
+      "reachable_states": 19,
+      "roles": [
+        628,
+        629,
+        241
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          400,
+          65,
+          48,
+          9,
+          4,
+          3
+        ]
+      ],
+      "incumbent": [
+        3,
+        3,
+        2
+      ],
+      "index": 11706,
+      "phase": "B",
+      "reachable_states": 19,
+      "roles": [
+        629,
+        630,
+        241
+      ],
+      "start_bases": [
+        [
+          51
+        ],
+        [
+          51
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "incumbent": [],
+      "index": 11708,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        628,
+        629,
+        234
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          3,
+          4,
+          48,
+          72,
+          144,
+          265
+        ]
+      ],
+      "incumbent": [
+        3,
+        2
+      ],
+      "index": 11709,
+      "phase": "B",
+      "reachable_states": 6,
+      "roles": [
+        629,
+        631,
+        234
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          51
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          3,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          280,
+          129,
+          72,
+          48,
+          4,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11711,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        628,
+        630,
+        229
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          3,
+          4,
+          24,
+          40,
+          72,
+          385
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11712,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        630,
+        631,
+        229
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          257,
+          152,
+          72,
+          48,
+          4,
+          3
+        ],
+        [
+          393,
+          72,
+          32,
+          16,
+          4,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "incumbent": [
+        2,
+        2
+      ],
+      "index": 11714,
+      "phase": "B",
+      "reachable_states": 8,
+      "roles": [
+        629,
+        630,
+        227
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "exit_bases": [
+        [
+          393,
+          72,
+          32,
+          16,
+          4,
+          3
+        ],
+        [
+          3,
+          4,
+          48,
+          72,
+          137,
+          272
+        ],
+        [
+          1,
+          2,
+          4,
+          48,
+          72,
+          408
+        ]
+      ],
+      "incumbent": [
+        2,
+        2,
+        2
+      ],
+      "index": 11715,
+      "phase": "B",
+      "reachable_states": 20,
+      "roles": [
+        630,
+        631,
+        227
+      ],
+      "start_bases": [
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ],
+        [
+          413,
+          72,
+          48,
+          3
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "exit_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "incumbent": [],
+      "index": 11735,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        49,
+        83,
+        225
+      ],
+      "start_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "exit_bases": [
+        [
+          388,
+          65,
+          36,
+          16,
+          9,
+          3
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11739,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        49,
+        98,
+        281
+      ],
+      "start_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "exit_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          276,
+          131,
+          66,
+          36,
+          9
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11740,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        98,
+        101,
+        281
+      ],
+      "start_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "exit_bases": [
+        [
+          387,
+          66,
+          32,
+          16,
+          9,
+          4
+        ],
+        [
+          262,
+          129,
+          66,
+          36,
+          16,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "incumbent": [
+        2,
+        2
+      ],
+      "index": 11742,
+      "phase": "B",
+      "reachable_states": 8,
+      "roles": [
+        83,
+        98,
+        393
+      ],
+      "start_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "exit_bases": [
+        [
+          262,
+          129,
+          66,
+          36,
+          16,
+          9
+        ],
+        [
+          406,
+          66,
+          36,
+          8,
+          1
+        ],
+        [
+          259,
+          148,
+          66,
+          36,
+          9
+        ]
+      ],
+      "incumbent": [
+        2,
+        1,
+        1
+      ],
+      "index": 11743,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        98,
+        101,
+        393
+      ],
+      "start_bases": [
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ],
+        [
+          407,
+          66,
+          36,
+          9
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "incumbent": [],
+      "index": 11763,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        68,
+        80,
+        377
+      ],
+      "start_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "exit_bases": [
+        [
+          257,
+          129,
+          76,
+          45,
+          25,
+          3
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11767,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        68,
+        88,
+        381
+      ],
+      "start_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          84,
+          44,
+          1
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 11768,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        88,
+        31,
+        381
+      ],
+      "start_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          72,
+          41,
+          25,
+          4
+        ],
+        [
+          258,
+          130,
+          70,
+          39,
+          19,
+          10
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "incumbent": [
+        2,
+        2
+      ],
+      "index": 11770,
+      "phase": "B",
+      "reachable_states": 8,
+      "roles": [
+        80,
+        88,
+        345
+      ],
+      "start_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1,
+          1,
+          1,
+          1
+        ],
+        [
+          2,
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "exit_bases": [
+        [
+          258,
+          130,
+          70,
+          39,
+          19,
+          10
+        ],
+        [
+          258,
+          130,
+          85,
+          37,
+          8
+        ],
+        [
+          258,
+          130,
+          74,
+          45,
+          31
+        ]
+      ],
+      "incumbent": [
+        2,
+        1,
+        1
+      ],
+      "index": 11771,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        88,
+        31,
+        345
+      ],
+      "start_bases": [
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ],
+        [
+          258,
+          130,
+          85,
+          45
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "exit_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "incumbent": [],
+      "index": 11791,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        33,
+        55,
+        329
+      ],
+      "start_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "terminal_profiles": [
+        []
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "exit_bases": [
+        [
+          388,
+          64,
+          33,
+          17,
+          12,
+          3
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11795,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        33,
+        74,
+        297
+      ],
+      "start_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "exit_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          259,
+          132,
+          64,
+          33,
+          18,
+          12
+        ]
+      ],
+      "incumbent": [
+        2
+      ],
+      "index": 11796,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        74,
+        85,
+        297
+      ],
+      "start_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "exit_bases": [
+        [
+          387,
+          64,
+          33,
+          18,
+          8,
+          4
+        ],
+        [
+          385,
+          70,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "incumbent": [
+        2,
+        1
+      ],
+      "index": 11798,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        55,
+        74,
+        313
+      ],
+      "start_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "exit_bases": [
+        [
+          385,
+          70,
+          33,
+          18,
+          12
+        ],
+        [
+          262,
+          193,
+          33,
+          18,
+          12
+        ],
+        [
+          260,
+          131,
+          64,
+          33,
+          18,
+          12
+        ]
+      ],
+      "incumbent": [
+        2,
+        1,
+        1
+      ],
+      "index": 11799,
+      "phase": "B",
+      "reachable_states": 4,
+      "roles": [
+        74,
+        85,
+        313
+      ],
+      "start_bases": [
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ],
+        [
+          455,
+          33,
+          18,
+          12
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          1,
+          1
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 12491,
+      "phase": "cleanup_tail",
+      "reachable_states": 17,
+      "roles": [
+        408,
+        567,
+        105
+      ],
+      "start_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          1,
+          6,
+          50,
+          82,
+          136,
+          264
+        ],
+        [
+          257,
+          129,
+          68,
+          34,
+          22,
+          8
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 12494,
+      "phase": "cleanup_tail",
+      "reachable_states": 17,
+      "roles": [
+        412,
+        569,
+        414
+      ],
+      "start_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          3,
+          4,
+          48,
+          72,
+          144,
+          265
+        ],
+        [
+          10,
+          20,
+          32,
+          65,
+          132,
+          259
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 12497,
+      "phase": "cleanup_tail",
+      "reachable_states": 17,
+      "roles": [
+        424,
+        575,
+        44
+      ],
+      "start_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          7,
+          27,
+          40,
+          73,
+          136,
+          264
+        ],
+        [
+          2,
+          8,
+          20,
+          32,
+          65,
+          389
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        -1
+      ],
+      "contact_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        3,
+        3
+      ],
+      "index": 12500,
+      "phase": "cleanup_tail",
+      "reachable_states": 17,
+      "roles": [
+        428,
+        577,
+        430
+      ],
+      "start_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          1,
+          2,
+          4,
+          48,
+          72,
+          408
+        ],
+        [
+          257,
+          129,
+          73,
+          42,
+          27,
+          5
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          2,
+          2,
+          1,
+          1
+        ],
+        [
+          3,
+          3
+        ]
+      ]
+    },
+    {
+      "coefficients": [
+        -1,
+        1
+      ],
+      "contact_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "exit_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "incumbent": [
+        1
+      ],
+      "index": 12655,
+      "phase": "cleanup_tail",
+      "reachable_states": 6,
+      "roles": [
+        40,
+        18,
+        226
+      ],
+      "start_bases": [
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          34,
+          16,
+          10,
+          4,
+          1
+        ],
+        [
+          256,
+          128,
+          64,
+          32,
+          16,
+          8,
+          4,
+          2,
+          1
+        ]
+      ],
+      "terminal_profiles": [
+        [
+          1
+        ]
+      ]
+    }
+  ]
+}
diff --git a/research/receiver-window-all-length-floor/SOURCES.json b/research/receiver-window-all-length-floor/SOURCES.json
new file mode 100644
index 0000000000..70a88c8c48
--- /dev/null
+++ b/research/receiver-window-all-length-floor/SOURCES.json
@@ -0,0 +1,60 @@
+{
+  "schema_version": 1,
+  "base_commit": "f626db5c3a3d781d8f7695038776c621651f75e1",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "ed33caef5c5827693e9572d252a66f99cbb73d40",
+      "sha256": "5732707cc1e460b090b53f2463162749ad860de878a18f7408938671d295a9d9"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "64bfc5af6709ed9811171e0a2108f05e1219cb65",
+      "sha256": "352a6184713b8843d96fd2c2071eb7aeaa655906b7c51d45ad444912666c8a96"
+    },
+    {
+      "path": "research/fresh-helper-boundary/CHANGES.json",
+      "usage": "input",
+      "git_blob": "45744fedd0e28967aa72586048b8bc0c72f419a9",
+      "sha256": "cde73b8ff5b3c0d06e69e2293b991b24fd14a16dd4ccab7ff6b3439074a94624"
+    },
+    {
+      "path": "research/fresh-helper-boundary/native.py",
+      "usage": "input",
+      "git_blob": "1b36f6cb5f205c33bf48811e0b1b3621c55e8154",
+      "sha256": "9b55a2d3c3972148fae9d112e745d9244968166bd89bd900c938f429fc76ab29"
+    },
+    {
+      "path": "research/joint-helper-lattice/PATCH.json",
+      "usage": "input",
+      "git_blob": "51304a6601061ed4e698f910b09135ef109555e3",
+      "sha256": "296d0e8c58cc70febe042c681ef30d6bb469818c0835fbcaac8aa8d330f5b727"
+    },
+    {
+      "path": "research/joint-helper-lattice/native_joint.py",
+      "usage": "input",
+      "git_blob": "0315f80e2fdef5e0eef13e3e9b8f72066238164d",
+      "sha256": "50869b1bcad7493e6b4cb2a4cd5d2fd9a193a5921100483fa2c3f2c999ddfd46"
+    },
+    {
+      "path": "research/kappa-rebuild/complex/full-identity-certificates/THREE-base-FULL-IDENTITY-CANONICAL.json.gz",
+      "usage": "input",
+      "git_blob": "4a8c4ed26e53a72362d571c972e65aff546be784",
+      "sha256": "6418ec3da24d548a57f5c3fe5b9062c26c9478e638504a61c387f5cfb5f4ed61"
+    },
+    {
+      "path": "research/kappa-rebuild/complex/full-identity-certificates/THREE-base-FULL-IDENTITY-NATIVE.json.gz",
+      "usage": "input",
+      "git_blob": "b46d44c6ee624968dd57be928b0c15d9d45f3b2c",
+      "sha256": "c54b0a3e129d28e6dbf74fa731fc3bb70fe3c6705f07256750fbecddcc842d39"
+    },
+    {
+      "path": "research/missing-join-frame/PATCH.json",
+      "usage": "input",
+      "git_blob": "f96d295d40014d4dd503f58eb3cdabcbb4b8e101",
+      "sha256": "9ab5328245ff02c9d0be21d39bcc375f50bc5d7909e9f7b9a3a9a6f812f5bd6e"
+    }
+  ]
+}
diff --git a/research/receiver-window-all-length-floor/TASK.json b/research/receiver-window-all-length-floor/TASK.json
new file mode 100644
index 0000000000..f13d3c11f0
--- /dev/null
+++ b/research/receiver-window-all-length-floor/TASK.json
@@ -0,0 +1,106 @@
+{
+  "schema_version": 1,
+  "task_id": "independent-moment",
+  "priority_revision": 7,
+  "base_commit": "f626db5c3a3d781d8f7695038776c621651f75e1",
+  "original_card": {
+    "id": "independent-moment",
+    "question": "Does a new paid-profile or mixture-ceiling claim have independent source-bound coverage of its actual changed ledger?",
+    "starting_points": [
+      "docs/research/research-family-status.md",
+      "certificates/selected-result.json",
+      "research/staged544-mixed-fourth-entry/README.md",
+      "research/staged-fourth-mixture-ceiling/README.md",
+      "research/r437-two-window-carrier/README.md"
+    ],
+    "methods": [
+      "Independently reconstruct one changed paid ledger or pooled dual with exact source and model binding.",
+      "Check a genuinely uncovered moment implication with a different enclosure method and semantic controls."
+    ],
+    "acceptance_gate": "Demonstrate independence, source binding, positive cases and semantic failure controls. Name the existing checks and the missing coverage. More digits or another equivalent evaluation of an unchanged root is not by itself new verification coverage.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Choose one uncovered implication in #4088 literal mixed fill, #4091 pooled dual/model binding or #4067 changed frame/host bill. #4091 pins an earlier #4088 head: validate word, capacity and stock equivalence before applying that ceiling to the later fill.",
+      "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately."
+    },
+    "first_experiment": "Independently reconstruct one changed ledger or pooled certificate with a positive case and a semantic failure control. Compare exact sources and name what existing checks miss. Keep this separate from supplier-boundary-audit (ordinary/outer dispatch) and uniform-transfer-audit (all-size proof). Stop after the chosen implication; more digits of an unchanged root are not additional mechanism coverage.",
+    "bottleneck_link": "Independent pricing prevents unsupported frontier claims and can reveal genuine accounting slack.",
+    "allowed_variations": [
+      "Reconstruct either a source ledger or a numeric enclosure with a different method."
+    ],
+    "scope_change_triggers": [
+      "Importing the primary function and calling its output independent verification.",
+      "Calling an aggregate histogram or source archive an independently accepted physical supplier."
+    ],
+    "overlap_terms": [
+      "independent moment",
+      "rank histogram",
+      "exact enclosure",
+      "2979",
+      "rank7 joint endframes",
+      "paired extraction",
+      "joint lowering",
+      "4088",
+      "4091",
+      "4067",
+      "staged544-mixed-fourth-entry",
+      "staged-fourth-mixture-ceiling",
+      "r437-two-window-carrier"
+    ],
+    "existing_checks": [
+      {
+        "scope": "PR #4088: mixed local/owner/phase ledger and moment reported.",
+        "evidence": "research/staged544-mixed-fourth-entry/README.md",
+        "remaining": "Independent binding of changed construction to paid histogram, distinct from full admission.",
+        "status": "author-checked",
+        "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      },
+      {
+        "scope": "PR #4091: sharp pooled ceiling proposed for fixed THREE/FOUR words and inventory.",
+        "evidence": "research/staged-fourth-mixture-ceiling/README.md",
+        "remaining": "Validate dual, exhaustive pattern scope and exact source equivalence before applying to newer fills.",
+        "status": "author-checked",
+        "source_commit": "a29bdd8f56cd18b805917775cdec09ff935eddc4",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      },
+      {
+        "scope": "PR #4067: paid (2,2) to (1,3) exchange and fixed OQ4 host reported.",
+        "evidence": "research/r437-two-window-carrier/README.md",
+        "remaining": "Independent full cost delta; remaining caller/precision/stock obligations are separate.",
+        "status": "author-checked",
+        "source_commit": "a95f11c52e3ca1e4c5171b3c20d8f4b0815aee2e",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      }
+    ]
+  },
+  "scope_status": "refined",
+  "actual_scope": "Prove an all-length paid-rank floor for the 128 PR4470 adjacent receiver windows using directed dependency and frame dimensions, with exact concave-price dominance.",
+  "scope_change_reason": "Handoff-first refinement to the live PR4567 open cost-floor question, beyond its finite word census; the older card source contexts no longer match the selected record.",
+  "bottleneck_link": "Closes arbitrary-length and arbitrary-coefficient search inside a fixed three-field invoice model, identifying which boundary premises must change to remove paid work.",
+  "budget_minutes": 60,
+  "stop_rule": "Stop if any relaxation step is unsound, any incumbent fails exact dominance, or overlap already proves the scoped result; do not expand construction search.",
+  "outcome": "completed",
+  "evidence": "README.md gives the reduction and concave-price proof; RESULT.json and verify.py certify 128 windows, 1303 states and 239 window/profile pairs, positive geometric paths and three premise-removal controls.",
+  "author": "mihir-s-05",
+  "ai_assistance": "Substantial OpenAI Codex assistance; separate implementation, no independent human review or formal proof-kernel verification.",
+  "open_questions": [
+    {
+      "question": "Can a named extra-field or nonmonotone model beat this floor after all entrance, exit and restoration costs?",
+      "why_it_matters": "Only a changed premise can escape the certified model.",
+      "first_step": "Specify one actual window, extra field or allowed frame decrease, and its complete charged boundary, then derive an optimistic graph.",
+      "blocked_by": "No such complete cost contract is supplied here."
+    },
+    {
+      "question": "Does an independent review confirm the all-length abstraction against the exact caller model?",
+      "why_it_matters": "Finite tests alone cannot prove the reduction sound.",
+      "first_step": "Review the directed dependency induction, zero-state edge deletion and concave aggregation, then replay the certificate.",
+      "blocked_by": "No independent human or formal review is claimed."
+    }
+  ]
+}
diff --git a/research/receiver-window-all-length-floor/VERIFY.json b/research/receiver-window-all-length-floor/VERIFY.json
new file mode 100644
index 0000000000..5085eef217
--- /dev/null
+++ b/research/receiver-window-all-length-floor/VERIFY.json
@@ -0,0 +1,26 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [
+    "research/fresh-helper-boundary/CHANGES.json",
+    "research/fresh-helper-boundary/native.py",
+    "research/joint-helper-lattice/PATCH.json",
+    "research/joint-helper-lattice/native_joint.py",
+    "research/kappa-rebuild/complex/full-identity-certificates/THREE-base-FULL-IDENTITY-CANONICAL.json.gz",
+    "research/kappa-rebuild/complex/full-identity-certificates/THREE-base-FULL-IDENTITY-NATIVE.json.gz",
+    "research/missing-join-frame/PATCH.json"
+  ],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 120,
+      "checks": "Authenticate seven source inputs, extract all 128 adjacent windows, exhaust the dimension/dependency DAG, prove integer concave-price dominance, replay 2868 geometric control paths and three premise-removal controls, and compare the complete receipt."
+    }
+  ]
+}
diff --git a/research/receiver-window-all-length-floor/verify.py b/research/receiver-window-all-length-floor/verify.py
new file mode 100644
index 0000000000..f8cbc95a83
--- /dev/null
+++ b/research/receiver-window-all-length-floor/verify.py
@@ -0,0 +1,329 @@
+#!/usr/bin/env python3
+"""All-length three-field receiver cost floor; exact integers, no word-length cap.
+
+Uses the credited #4470 constructor only to obtain the frozen native events.
+Window extraction, dependency relaxation and dominance certificates are new.
+Prepared for mihir-s-05 with substantial OpenAI Codex assistance. Apache-2.0.
+"""
+import argparse
+from collections import Counter
+from fractions import Fraction
+from functools import lru_cache
+import hashlib
+import json
+from pathlib import Path
+import subprocess
+import sys
+import tempfile
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+
+
+def need(condition, message):
+    if not condition:
+        raise ValueError(message)
+
+
+def span(basis):
+    result = {0}
+    for vector in basis:
+        result |= {value ^ vector for value in result}
+    return frozenset(result)
+
+
+def dimension(space):
+    need(len(space) > 0 and len(space) & (len(space) - 1) == 0,
+         "binary subspace cardinality")
+    return len(space).bit_length() - 1
+
+
+def partition(values):
+    return tuple(sorted((value for value in values if value), reverse=True))
+
+
+def capped_sums(ranks):
+    return tuple(sum(min(rank, k) for rank in ranks) for k in range(1, 10))
+
+
+def dominates(incumbent, candidate):
+    """Exact certificate for every concave rank price with f(0)=0; see README."""
+    return sum(incumbent) == sum(candidate) and all(
+        a <= b for a, b in zip(capped_sums(incumbent), capped_sums(candidate)))
+
+
+def source_checks():
+    manifest = json.loads((HERE / "SOURCES.json").read_bytes())
+    checked = 0
+    for row in manifest["files"]:
+        if row["usage"] == "input":
+            raw = (ROOT / row["path"]).read_bytes()
+            need(hashlib.sha256(raw).hexdigest() == row["sha256"],
+                 "changed source: " + row["path"])
+            checked += 1
+    need(checked == 7, "complete constructor source closure")
+    return checked
+
+
+def construct():
+    # A private cache prevents stale bytecode from replacing authenticated source.
+    code = ("import json,sys;sys.path.insert(0,sys.argv[1]);import native_joint;"
+            "c,p,*_=native_joint.construct();print(json.dumps([c,p['forward']]))")
+    with tempfile.TemporaryDirectory(prefix="receiver-floor-pycache-") as cache:
+        result = subprocess.run(
+            [sys.executable, "-I", "-B", "-X", "pycache_prefix=" + cache,
+             "-c", code, str(ROOT / "research/joint-helper-lattice")],
+            capture_output=True, check=True, timeout=120)
+    return json.loads(result.stdout)
+
+
+def operands(event):
+    if event[0] != "scalar":
+        return []
+    gate = event[1]
+    return gate[1:3] if gate[0] in ("add", "copy") else gate[1:2]
+
+
+def incumbent_profile(starts, ends, contacts):
+    current, paid = list(starts), []
+    for pair, frame in zip(((0, 2), (1, 2)), contacts):
+        for role in pair:
+            need(current[role] <= frame, "incumbent contact is monotone")
+            paid.append(dimension(frame) - dimension(current[role]))
+            current[role] = frame
+    for a, b in zip(current, ends):
+        need(a <= b, "incumbent exit is monotone")
+        paid.append(dimension(b) - dimension(a))
+    return partition(paid)
+
+
+def extract_windows(certificate, program):
+    # Frame state at a cut is after the preceding touch, before the next climb.
+    # The next scalar/warp entrance (or final frame) is the fixed exit contract.
+    events = [event for event in program if event[0] != "climb"]
+    bases = certificate["frames"]
+    need(all(type(v) is int and 0 <= v < 512 for basis in bases for v in basis),
+         "frames lie in F2^9")
+    frames = [span(basis) for basis in bases]
+    need(all(len(frame) == 2 ** len(basis) for frame, basis in zip(frames, bases)),
+         "independent input frame bases")
+    state, phase, result = certificate["start"][:], None, []
+    for pos, event in enumerate(events):
+        if event[0] == "phase":
+            phase = event[1]
+        if phase in ("B", "cleanup_tail") and pos + 1 < len(events):
+            second = events[pos + 1]
+            if (event[0] == second[0] == "scalar"
+                    and event[1][0] == second[1][0] == "add"):
+                roles = operands(event) + operands(second)
+                if all(kind == "L" for kind, _ in roles):
+                    a, x, b, y = (role for _, role in roles)
+                    ca, cb = Fraction(*event[1][3:]), Fraction(*second[1][3:])
+                    if x == y and len({a, b, x}) == 3 and ca in (-1, 1) and cb in (-1, 1):
+                        owners = [a, b, x]
+                        start_ids = [state[role] for role in owners]
+                        end_ids = []
+                        for role in owners:
+                            boundary = certificate["final"][role]
+                            for later in events[pos + 2:]:
+                                if ["L", role] in operands(later):
+                                    boundary = later[2]
+                                    break
+                                if later[0] == "warp" and later[1] == ["L", role]:
+                                    boundary = later[3]
+                                    break
+                            end_ids.append(boundary)
+                        result.append({
+                            "index": pos, "phase": phase, "roles": owners,
+                            "coefficients": [int(ca), int(cb)],
+                            "start_bases": [bases[i] for i in start_ids],
+                            "exit_bases": [bases[i] for i in end_ids],
+                            "contact_bases": [bases[event[2]], bases[second[2]]],
+                        })
+        if event[0] == "scalar":
+            for kind, role in operands(event):
+                if kind == "L":
+                    state[role] = event[2]
+        elif event[0] == "warp":
+            state[event[1][1]] = event[4]
+    need(len(result) == 128, "128 eligible adjacent windows")
+    need(Counter(row["phase"] for row in result) == {"B": 123, "cleanup_tail": 5},
+         "phase coverage")
+    return result
+
+
+def relaxed_profiles(starts, ends, *, dependency=True, intersections=True, exits=True):
+    """Finite acyclic overapproximation of ALL finite scalar words.
+
+    A bit records possible dependence on initial x, never its exact coefficient.
+    Frame subspaces are relaxed to dimensions plus static necessary pair bounds.
+    Toggles weaken specific premises for rejection controls only.
+    """
+    need(all(a <= b for a, b in zip(starts, ends)), "monotone boundaries")
+    initial = tuple(map(dimension, starts))
+    final = tuple(map(dimension, ends))
+    pairs = []
+    for i in range(3):
+        for j in range(3):
+            if i == j or not (starts[i] <= ends[j] and starts[j] <= ends[i]):
+                continue
+            lower = dimension({a ^ b for a in starts[i] for b in starts[j]})
+            upper = (dimension(ends[i] & ends[j]) if intersections
+                     else min(final[i], final[j]))
+            pairs.append((i, j, lower, upper))
+
+    @lru_cache(None)
+    def visit(dims, mask):
+        terminal = mask == 7 or not dependency
+        gap = partition(final[i] - dims[i] for i in range(3)) if exits else ()
+        profiles = {gap} if terminal else set()
+        for i, j, lower, upper in pairs:
+            for common in range(max(dims[i], dims[j], lower), upper + 1):
+                after = list(dims)
+                after[i] = after[j] = common
+                after = tuple(after)
+                mask_after = mask | ((1 << i) if mask & (1 << j) else 0)
+                if (after, mask_after) == (dims, mask):
+                    # Every such edge has zero charge. Removing it cannot change
+                    # any future transition or terminal condition in this graph.
+                    continue
+                need(sum(after) + mask_after.bit_count() > sum(dims) + mask.bit_count(),
+                     "strict acyclic potential")
+                added = (common - dims[i], common - dims[j])
+                for suffix in visit(after, mask_after):
+                    profiles.add(partition((*added, *suffix)))
+        return frozenset(profiles)
+
+    profiles = visit(initial, 4)
+    if exits:
+        mass = sum(final) - sum(initial)
+        need(all(sum(p) == mass for p in profiles), "all terminal rank mass charged")
+    return profiles, visit.cache_info().currsize
+
+
+def evaluate_window(row):
+    starts = [span(b) for b in row["start_bases"]]
+    ends = [span(b) for b in row["exit_bases"]]
+    contacts = [span(b) for b in row["contact_bases"]]
+    old = incumbent_profile(starts, ends, contacts)
+    profiles, states = relaxed_profiles(starts, ends)
+    need(old in profiles, "incumbent admitted at window " + str(row["index"]))
+    need(all(dominates(old, p) for p in profiles),
+         "all-length floor failed at window " + str(row["index"]))
+    return {**row, "incumbent": old, "reachable_states": states,
+            "terminal_profiles": sorted(profiles)}
+
+
+def failure_controls(windows):
+    by_index = {row["index"]: row for row in windows}
+    cases = [
+        ("drop_directed_dependency", 10557, {"dependency": False}, (2, 1)),
+        ("drop_exit_intersection", 11078, {"intersections": False}, (2, 2)),
+        ("drop_terminal_charge", 10554, {"exits": False}, ()),
+    ]
+    output = {}
+    for name, index, weakening, false_gain in cases:
+        row = by_index[index]
+        starts = [span(b) for b in row["start_bases"]]
+        ends = [span(b) for b in row["exit_bases"]]
+        profiles, _ = relaxed_profiles(starts, ends, **weakening)
+        need(false_gain in profiles, "negative control actually exposes its false gain")
+        need(false_gain not in row["terminal_profiles"], "normal model excludes the false gain")
+        need(not dominates(row["incumbent"], false_gain), "false gain rejected")
+        output[name] = {"index": index, "incumbent": row["incumbent"],
+                        "falsely_admitted": false_gain}
+    return output
+
+
+def small_geometric_control():
+    """Exhaust all legal common frames on exact endpoint words through length 4.
+
+    This is a finite semantic control for the abstraction, not the all-length proof.
+    F2^2, zero entrances, full exits; integer scalar matrices track arbitrary inputs.
+    """
+    spaces = [span(b) for b in ((), (1,), (2,), (3,), (1, 2))]
+    zero, full = spaces[0], spaces[-1]
+    abstract, _ = relaxed_profiles([zero] * 3, [full] * 3)
+    identity = (1, 0, 0, 0, 1, 0, 0, 0, 1)
+    target = (1, 0, 1, 0, 1, 1, 0, 0, 1)
+    gates = [(i, j, s) for i in range(3) for j in range(3) if i != j for s in (-1, 1)]
+    matched = paths = 0
+
+    def frame_paths(word, current, paid):
+        nonlocal paths
+        if not word:
+            p = partition((*paid, *(2 - dimension(frame) for frame in current)))
+            need(p in abstract, "legal geometric path absent from relaxation")
+            paths += 1
+            return
+        i, j, _ = word[0]
+        for frame in spaces:
+            if current[i] <= frame and current[j] <= frame:
+                after = list(current)
+                added = (dimension(frame) - dimension(current[i]),
+                         dimension(frame) - dimension(current[j]))
+                after[i] = after[j] = frame
+                frame_paths(word[1:], after, (*paid, *added))
+
+    def words(matrix, word):
+        nonlocal matched
+        if matrix == target:
+            matched += 1
+            frame_paths(word, [zero] * 3, ())
+        if len(word) == 4:
+            return
+        for i, j, s in gates:
+            after = list(matrix)
+            for k in range(3):
+                after[3 * i + k] += s * matrix[3 * j + k]
+            words(tuple(after), (*word, (i, j, s)))
+
+    words(identity, ())
+    need(matched == 84 and paths > 0, "exact dirty-input endpoint control")
+    # The cone identity used in the written proof is also checked for every
+    # generator f(r)=min(r,k) on ranks 0..9, entirely over integers.
+    for k in range(1, 10):
+        f = [min(r, k) for r in range(10)]
+        delta = [f[r] - f[r - 1] for r in range(1, 10)]
+        for r in range(10):
+            reconstructed = delta[-1] * r + sum(
+                (delta[j - 1] - delta[j]) * min(r, j) for j in range(1, 9))
+            need(reconstructed == f[r], "discrete concave-price identity")
+    return {"endpoint_words": matched, "geometric_paths": paths,
+            "concave_basis_checks": 90}
+
+
+def run():
+    source_count = source_checks()
+    certificate, program = construct()
+    windows = [evaluate_window(row) for row in extract_windows(certificate, program)]
+    controls = failure_controls(windows)
+    small = small_geometric_control()
+    return {"schema": "receiver-window-all-length-floor/v1",
+            "status": "PASS_ALL_LENGTH_RECEIVER_FLOOR",
+            "source_base": "f626db5c3a3d781d8f7695038776c621651f75e1",
+            "source_files_checked": source_count,
+            "window_count": len(windows),
+            "reachable_states": sum(w["reachable_states"] for w in windows),
+            "window_profile_pairs": sum(len(w["terminal_profiles"]) for w in windows),
+            "profile_count_histogram": dict(sorted(Counter(len(w["terminal_profiles"]) for w in windows).items())),
+            "failure_controls": controls, "geometric_control": small,
+            "new_kappa": False, "windows": windows}
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--write", action="store_true", help="author the deterministic receipt")
+    args = parser.parse_args()
+    result = run()
+    raw = json.dumps(result, indent=2, sort_keys=True) + "\n"
+    path = HERE / "RESULT.json"
+    if args.write:
+        path.write_text(raw, encoding="utf-8", newline="\n")
+    else:
+        need(path.read_text(encoding="utf-8") == raw, "complete deterministic receipt mismatch")
+    print(json.dumps({key: value for key, value in result.items() if key != "windows"}, sort_keys=True))
+
+
+if __name__ == "__main__":
+    main()