diff --git a/research/sol1337-contact-frontier/.gitattributes b/research/sol1337-contact-frontier/.gitattributes
new file mode 100644
index 0000000000..3f83c6c380
--- /dev/null
+++ b/research/sol1337-contact-frontier/.gitattributes
@@ -0,0 +1,2 @@
+vendor/dynamic_neighbors.cpp -text
+vendor/neighbors.hpp -text
diff --git a/research/sol1337-contact-frontier/BUDGET.md b/research/sol1337-contact-frontier/BUDGET.md
new file mode 100644
index 0000000000..501f39646e
--- /dev/null
+++ b/research/sol1337-contact-frontier/BUDGET.md
@@ -0,0 +1,18 @@
+# Optimistic bill and changed model before discovery
+
+Canonical discovery base: 624de9dc66858af0945e5f8a0942488d62280d43.
+Predecessors: Cinna Davis #4694/#4698, Cao Yifan #4610, Cinna Davis #4690/#4696/#4700, and Dugongue #4841 at 6debdcdac8fe1c87958f8cd42ccb7db73c0a0eef. Substantial OpenAI Codex assistance.
+
+Question: does retaining the eight formerly owned centers as arbitrary independent inputs permit a strict paid-profile improvement by changing their scalar contact charts to literal general Clifford charts?
+
+The #4841/#4690 graph freezes any scalar contact touching an owned center and keeps all eight rank-eight center calls as a fixed charge. The changed graph uses #4694's invertible 640-input coupled interface: copy becomes addition, clear is removed, each center has its own fixed original entrance chart and fixed empty exit chart. It exposes actual center transitions as paid edges and unfreezes center scalar contacts while including every incident old-field transition. All 640 endpoint charts, original main/adapter boundaries and all 408 helper targets remain fixed. No center output receives independent productive Gaussian credit. This changes the frozen-owned-contact restriction and may change Lagrangian subspaces, unlike #4696 fixed-subspace phase changes and #4700 monotone canonical chart changes.
+
+Baseline paid histogram is {1:2201,2:412,3:510,4:127,5:40,8:8}; independent helper targets are {4:28,7:7,8:47,9:326}. The optimistic gain test is Delta(theta)=sum_r(new_paid_r-old_paid_r)*r^theta<0, retaining every helper and every other paid call. Native compiler free-adapter passes, scalar operations, routing, precision, source-uniform compiler and complete consumer funding remain additional positive costs, not zero. No new outer kappa is inferred from this optimistic component test.
+
+The first bounded experiment checks all 1,022 distinct single-transvection neighbors at newly variable center contacts only, with actual mapped incident edges and frozen boundaries. Reject immediately if no profitable complete paid change occurs. No unchanged 632-role graph search, random seed campaign, scalar-only saving or root refinement is authorized by this gate.
+
+A positive component would require literal phase-correct inverse-image charts, chronological all-640 arbitrary-input primal/raw-dual verification, independent helper recovery, source-bound complete caller admission and the fully charged compiler/outer transfer. An unchanged #4694 coupled ABI alone does not supply #4610's owned-center caller contract.
+
+The immutable single screen covers 188,048 candidates and finds 18 exact delta classes. Every class has S_j=sum_r delta_r min(r,j)>=0 for j=1..9 and S_1>0; summation by parts proves strict loss for all 0<theta<1. It does not exclude coordinated changes: simultaneously applying the same transported transvection to two adjacent charts keeps their shared edge rank fixed, whereas the two separate moves can each pay for that edge. The optimistic interaction refund is the sum of those two single-endpoint shared-edge increases. Every other incident edge remains charged.
+
+The new contact region has 264 internal edges, 256 of rank zero and eight of rank eight. The complete paired-neighbor formula therefore gives 1,022 and 196,607 nontrivial pair representatives respectively (the 2,043 case applies to distance one and is absent here). One immutable adjacent-pair sweep is permitted because it tests barrier removal absent from the single screen, still using fixed real boundaries and no new helper reward. It will stop after this finite deterministic domain, with no random restart expansion.
diff --git a/research/sol1337-contact-frontier/LICENSE b/research/sol1337-contact-frontier/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/sol1337-contact-frontier/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/research/sol1337-contact-frontier/NOTICE.md b/research/sol1337-contact-frontier/NOTICE.md
new file mode 100644
index 0000000000..e258d3d8c7
--- /dev/null
+++ b/research/sol1337-contact-frontier/NOTICE.md
@@ -0,0 +1,8 @@
+Apache-2.0. New graph binding, complete changed-center screens, cut certificates
+and written paid-moment argument prepared for Chris R with substantial OpenAI
+Codex assistance. Retained exact-byte source files in vendor/ come from Cinna
+Davis #4694/#4690 and Dugongue #4841; original headers and assistance disclosures
+are preserved. The native payload is Cao Yifan #4610's frozen round-three word.
+Retain all original #4470, native Gaussian/Clifford, helper, scalar, precision,
+compiler and outer contributor attribution. No predecessor scientific admission
+or independent human proof review is asserted by this package.
diff --git a/research/sol1337-contact-frontier/PROOF.md b/research/sol1337-contact-frontier/PROOF.md
new file mode 100644
index 0000000000..a075a7ac0a
--- /dev/null
+++ b/research/sol1337-contact-frontier/PROOF.md
@@ -0,0 +1,82 @@
+# Proof of the scoped paid ceiling
+
+Let `d_r` be a complete candidate paid-histogram change, including every
+incident old-field edge and all center work, with the helper invoice fixed.
+Zero-rank events have no recursive charge. For `1<=j<=9` define
+
+    S_j(d) = sum_{r=1}^9 d_r min(r,j).
+
+For `0<theta<1`, put `q_j=j^theta-(j-1)^theta`. These numbers are positive
+and strictly decreasing. Finite summation by parts gives
+
+    sum_r d_r r^theta
+      = sum_{j=1}^8 S_j(d)(q_j-q_{j+1}) + S_9(d)q_9.
+
+Thus componentwise nonnegative S_j certify a nonnegative paid change for every
+such theta. S_1>=1 makes the change at least `q_1-q_2=2-2^theta>0`.
+This is an elementary identity for this finite invoice, not an assumption
+about asymptotic supplier composition.
+
+## Complete local neighborhoods
+
+The pinned #4841 single-neighbor theorem gives exactly 1,022 distinct changed
+Lagrangians from each nine-dimensional chart. Its paired theorem gives
+`2^(n+r+1)-2^(2r)-1` representatives for two charts at distance r. In this
+new graph the 264 internal edges have distances zero (256 edges) and eight
+(eight edges). The complete pair count is therefore
+
+    256*1022 + 8*196607 = 1834488.
+
+The source graph's every actual incident rank is recomputed by binary row
+elimination after each move. A pair applies the same transported transvection
+to both endpoints, which preserves the shared edge rank, but every other edge
+is also recomputed. Independent axes are a different, unsearched grammar.
+
+The resulting 18 single and 46 pair classes all satisfy
+
+    S_j(d) >= S_j(d*) for every j,
+    d* = {1:+1,7:+1,8:-1}.
+
+The actual classes include d*. Consequently the exact minimum over each
+nontrivial tested family is `1+7^theta-8^theta`. Strict subadditivity of
+`x^theta` proves this is positive. The identity chart/no change is excluded
+from a nontrivial-neighbor family and of course has zero change.
+
+## Arbitrary coherent blocks
+
+Fix one original chart L, its alternative L'=T_a L at distance one, and any
+subset of the variable contacts with original chart L. Retag precisely that
+subset to L'. All other contacts remain fixed. Every internal edge is the
+identity map with original rank zero. Its new rank is zero when the two labels
+agree and one when they differ. This holds also for noncontiguous subsets and
+for edges between contacts of different retained centers. Every external edge
+contributes a unary cost determined by its full actual mapped rank.
+
+For tariff `h_j(r)=min(r,j)`, the complete changed invoice therefore has form
+
+    S_j = sum_v unary_j(v) x_v + sum_{uv internal} |x_u-x_v|.
+
+The coefficients are integers. This is exactly an s-t cut energy. Positive
+unaries use vertex-to-sink edges; negative unaries use source-to-vertex edges
+and add their value to the constant offset; internal edges have unit capacity
+in each direction. No mixed-original-chart or mixed-alternative submodularity
+is assumed.
+
+The only group of size greater than one has 176 original empty-chart contacts.
+The exact replay checks all 1,022 distinct alternatives and all nine tariffs.
+Every flow has nonnegative capacities, satisfies conservation and has a value
+equal to an independently recounted attaining cut capacity. Including the
+negative-unary offset gives zero in every case. Feasible flow and equal cut
+capacity prove optimality; the empty subset directly attains zero.
+
+For every first-prefix problem, all variable vertices can reach the sink in
+the residual graph. Any minimum cut has no positive residual edge leaving its
+source side. A variable vertex placed on that side would therefore force the
+sink onto the same side, a contradiction. The unique minimum is the empty
+subset, so every nonempty subset has integer S_1>=1. Since its other S_j are
+nonnegative, the summation identity proves loss at least `2-2^theta`.
+
+The other eight original-chart groups are singletons, already covered by the
+complete single-neighbor classes. No extra independent center output is
+rewarded in any equation. None of these graph arguments asserts a complete
+native phase, caller, compiler or outer-multiplication theorem.
diff --git a/research/sol1337-contact-frontier/README.md b/research/sol1337-contact-frontier/README.md
new file mode 100644
index 0000000000..958d9d1f54
--- /dev/null
+++ b/research/sol1337-contact-frontier/README.md
@@ -0,0 +1,118 @@
+# Retained centers: a strict coherent-chart paid ceiling
+
+Retaining Cinna Davis's eight arbitrary center fields exposes a real changed
+chart contract. It still gives no paid Gaussian saving in the complete
+single-contact, same-transvection adjacent-pair, or coherent-block families
+checked here. **No higher κ, extra productive center reward, supplier admission,
+or selected-frontier change is claimed.**
+
+The strongest result covers arbitrary subsets of the 176 formerly owned scalar
+contacts sharing the empty chart. For each of their 1,022 distinct one-transvection
+chart alternatives, every nonempty subset has strictly positive paid-moment
+change for every `0<theta<1`, at least `2-2^theta`. This includes long,
+noncontiguous and cross-center blocks, not only single or adjacent contact moves.
+Eight other newly variable contacts have distinct original charts and are
+singletons; they are covered by the single-contact result.
+
+For all 188,048 nontrivial single-contact neighbors and 1,834,488 nontrivial
+same-transvection adjacent-pair neighbors, the exact minimum paid change is
+`1+7^theta-8^theta>0`. The value near the #4610 crossing is approximately
+`+0.00907129309`; this floating diagnostic is not a premise of the certificate.
+
+## What changed, and the honest bill
+
+Dugongue #4841, at `6debdcdac8fe1c87958f8cd42ccb7db73c0a0eef`, supplies
+phase-exact literal Clifford compilation and complete transvection neighborhoods.
+Its retained #4690 graph freezes contacts touching owned centers and charges the
+eight rank-eight center calls separately. The compiler implements a given
+geometric paid rank; it does not improve that frozen graph's objective.
+
+This package uses #4694's reversible 640-input extension: copy becomes addition,
+clear is removed, all eight center inputs are arbitrary and independent, and
+all 640 entrance and exit charts remain their actual original charts. The graph
+includes the actual center transitions and permits all 184 formerly owned
+scalar contacts to change chart, with every incident old-field transition paid.
+Every other chart remains fixed in this experiment. The 408 independent helper
+jobs and their endpoints remain fixed. The graph regenerates exactly:
+
+- paid histogram `{1:2201,2:412,3:510,4:127,5:40,8:8}`;
+- helper targets `{4:28,7:7,8:47,9:326}`;
+- 19,197 nodes, 34,830 paid constraints, and 184 variable center contacts;
+- 264 internal variable-variable edges: 256 of rank zero and eight of rank eight.
+
+There is **zero** independent productive reward for a retained center. The
+coupled output ABI has actual Y contamination and dirty center observations;
+it is not a completed #4610 owned-center caller. Compiler adapter passes,
+scalar work, routing, precision, a profitable complete coupled consumer and
+outer funding remain additional obligations. The negative optimistic bill
+makes those costs unnecessary to compute for these candidates.
+
+This changes #4696's fixed-subspace phase restriction and #4700's monotone
+canonical-chart restriction. It does not contradict either theorem. It also
+does not repeat a fixed 632-role palette or random-seed campaign.
+
+## Exact evidence
+
+The single screen independently recomputes each actual incident binary rank
+and compares it with the #4841 transvection tariff. It finds 18 paid-delta
+classes. The pair screen applies each representative simultaneously and
+recomputes every incident edge, retaining all shared-edge costs. It finds 46
+classes. Each class concavely majorizes the attained delta
+`{1:+1,7:+1,8:-1}`; see [PROOF.md](PROOF.md).
+
+The coherent-block screen solves 9,198 integer maxflow/mincut problems, one for
+each of 1,022 alternatives and each tariff `min(r,j)`, `j=1..9`. All minima are
+zero, attained by the empty subset. Every first-prefix cut has a unique empty
+minimum, proved using residual paths to the sink. Each flow's capacities,
+conservation and source value are checked, and its original cut capacity is
+independently recounted and equals that value. Summation by parts proves the
+strict all-theta claim. No floating flow or numerical root determines acceptance.
+
+## Reproduce
+
+Python 3.12+ standard library and a portable C++20 compiler named `c++` are
+required. Compiled programs and regenerated graphs live in a temporary directory.
+
+```sh
+python3 -I -B research/sol1337-contact-frontier/verify.py
+python3 -I -O -B research/sol1337-contact-frontier/verify.py
+python3 -B scripts/research_package.py --package research/sol1337-contact-frontier
+```
+
+Expected marker: `PASS_RETAINED_CENTER_COHERENT_CHART_CEILING`.
+The replay checks exact source bytes, regenerates all constraints and complete
+candidate classes, reruns every integer cut, and rejects a false paid gain,
+negative cut and false uniqueness claim. It does not run native amplitudes,
+all-width phase compilation, selected cold replay, Lean or the outer theorem.
+The graph is a phase-compiler-compatible optimistic constraint model; no
+successful replacement native word is exhibited.
+
+## Open next questions
+
+This result covers one nontrivial transvection at one contact; one common
+transvection at adjacent contacts; and arbitrary subsets of one identical-chart
+group retagged to one common one-transvection alternative. It does not cover
+mixed alternatives, independently chosen paired axes, simultaneous changes of
+different original chart groups, changed native maps or scalar operations,
+changed endpoints, intermediate observations, or a new controller.
+
+The appropriate next step is one literal changed chronological operation with
+an actual 640-input endpoint and full producer/consumer bill. Larger seed lists
+or another root calculation do not change this ceiling. A new family expansion
+requires a fresh budget decision. Structured questions are in [TASK.json](TASK.json).
+
+## Credit and source boundary
+
+Cinna Davis #4694/#4698 supplies the retained-center ABI and physical helper
+normal form. Cao Yifan #4610 supplies the frozen round-three native word and
+conditional construction. Cinna Davis #4690 supplies the contact graph model;
+#4696 and #4700 supply the scoped predecessor ceilings. Dugongue #4841 supplies
+the literal phase-exact compiler, complete neighborhood algorithms and tariff
+review. The retained #4470 lineage, zxv, Jacob Alan Sussman and all original
+scalar, E8, Clifford, helper, precision and outer contributors retain credit.
+
+Prepared for Chris R with substantial OpenAI Codex assistance by a dedicated
+gpt-6.1-sol HIGH agent in user-authorized parallel research. New work is
+Apache-2.0. No independent human or formal-kernel review is claimed. Exact
+source commits, original paths, Git blobs and SHA256 values are in
+[SOURCES.json](SOURCES.json). Frozen predecessor files are unchanged.
diff --git a/research/sol1337-contact-frontier/SOURCES.json b/research/sol1337-contact-frontier/SOURCES.json
new file mode 100644
index 0000000000..f2cc575b6f
--- /dev/null
+++ b/research/sol1337-contact-frontier/SOURCES.json
@@ -0,0 +1,88 @@
+{
+  "schema_version": 1,
+  "base_commit": "624de9dc66858af0945e5f8a0942488d62280d43",
+  "files": [
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602",
+      "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72"
+    },
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "c35482cd9035843b15a634cc8276a7e1e40e8395",
+      "sha256": "6fe0a099b89aa2aed796a13c3a21dafc63f3388ebf397464e44e0451893b9375"
+    },
+    {
+      "path": "research/sol1337-contact-frontier/vendor/model.py",
+      "usage": "input",
+      "pin": "head:c09c58381f9aade073f9e53aea44f26d1c5dd120:research/sol1337-contact-frontier/vendor/model.py",
+      "git_blob": "a69138e4014424235345f3301fbe6b097caa1b8c",
+      "sha256": "7cc29edccb3679b2a5c9defeeb0a2ec6bcef9b01b97c2390bebc48f366395f1f"
+    },
+    {
+      "path": "research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp",
+      "usage": "input",
+      "pin": "head:9b956c1ae0278ab8f6a63be50c8dfbaf2928e7a3:research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp",
+      "git_blob": "9869fb978b6ef16c76fefecb402def44505d066c",
+      "sha256": "86985b01679acc3d2acefe084d14e94e2e2d1013357265b19512867049d7acec"
+    },
+    {
+      "path": "research/sol1337-contact-frontier/vendor/neighbors.hpp",
+      "usage": "input",
+      "pin": "head:9b956c1ae0278ab8f6a63be50c8dfbaf2928e7a3:research/sol1337-contact-frontier/vendor/neighbors.hpp",
+      "git_blob": "140c4affb5aacde5d7c9a304698944018b137c37",
+      "sha256": "30ff3162c5f6ad4cf212c6b2775f871c1b8f587c027c83fcbfd87b66bbff65cf"
+    },
+    {
+      "path": "research/sol1337-contact-frontier/vendor/retained_verify.py",
+      "usage": "input",
+      "pin": "head:c09c58381f9aade073f9e53aea44f26d1c5dd120:research/sol1337-contact-frontier/vendor/retained_verify.py",
+      "git_blob": "357cbff9874ce920c5b5ad839fd47d3f9c728bcb",
+      "sha256": "f5a67954f19dddc688460b91e5c1729d7820755c53313159ed136e4447021214"
+    },
+    {
+      "path": "research/sol1337-contact-frontier/inputs/round3-native.json.gz",
+      "usage": "input",
+      "pin": "head:c09c58381f9aade073f9e53aea44f26d1c5dd120:research/sol1337-contact-frontier/inputs/round3-native.json.gz",
+      "git_blob": "46d929df83817b85a5387bcdb9745e0627d6366e",
+      "sha256": "7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05"
+    },
+    {
+      "path": "research/native-clifford-gauge-compiler/vendor/model.py",
+      "usage": "provenance",
+      "pin": "head:6debdcdac8fe1c87958f8cd42ccb7db73c0a0eef:research/native-clifford-gauge-compiler/vendor/model.py",
+      "git_blob": "a69138e4014424235345f3301fbe6b097caa1b8c",
+      "sha256": "7cc29edccb3679b2a5c9defeeb0a2ec6bcef9b01b97c2390bebc48f366395f1f"
+    },
+    {
+      "path": "research/native-clifford-gauge-compiler/decoder/dynamic_neighbors.cpp",
+      "usage": "provenance",
+      "pin": "head:6debdcdac8fe1c87958f8cd42ccb7db73c0a0eef:research/native-clifford-gauge-compiler/decoder/dynamic_neighbors.cpp",
+      "git_blob": "9869fb978b6ef16c76fefecb402def44505d066c",
+      "sha256": "86985b01679acc3d2acefe084d14e94e2e2d1013357265b19512867049d7acec"
+    },
+    {
+      "path": "research/native-clifford-gauge-compiler/decoder/neighbors.hpp",
+      "usage": "provenance",
+      "pin": "head:6debdcdac8fe1c87958f8cd42ccb7db73c0a0eef:research/native-clifford-gauge-compiler/decoder/neighbors.hpp",
+      "git_blob": "140c4affb5aacde5d7c9a304698944018b137c37",
+      "sha256": "30ff3162c5f6ad4cf212c6b2775f871c1b8f587c027c83fcbfd87b66bbff65cf"
+    },
+    {
+      "path": "research/center-helper-normal-form/inputs/retained_verify.py",
+      "usage": "provenance",
+      "pin": "head:624de9dc66858af0945e5f8a0942488d62280d43:research/center-helper-normal-form/inputs/retained_verify.py",
+      "git_blob": "357cbff9874ce920c5b5ad839fd47d3f9c728bcb",
+      "sha256": "f5a67954f19dddc688460b91e5c1729d7820755c53313159ed136e4447021214"
+    },
+    {
+      "path": "research/center-helper-normal-form/inputs/round3-native.json.gz",
+      "usage": "provenance",
+      "pin": "head:624de9dc66858af0945e5f8a0942488d62280d43:research/center-helper-normal-form/inputs/round3-native.json.gz",
+      "git_blob": "46d929df83817b85a5387bcdb9745e0627d6366e",
+      "sha256": "7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05"
+    }
+  ]
+}
diff --git a/research/sol1337-contact-frontier/TASK.json b/research/sol1337-contact-frontier/TASK.json
new file mode 100644
index 0000000000..02dbc0688c
--- /dev/null
+++ b/research/sol1337-contact-frontier/TASK.json
@@ -0,0 +1,72 @@
+{
+  "schema_version": 1,
+  "task_id": "complex-rank-shape-decoder",
+  "priority_revision": 7,
+  "base_commit": "624de9dc66858af0945e5f8a0942488d62280d43",
+  "original_card": {
+    "id": "complex-rank-shape-decoder",
+    "question": "Can a decoder deliver the local paid mass in fewer, larger-rank children (block frame climbs instead of rank-1 to rank-3 steps)?",
+    "starting_points": [
+      "docs/research/research-family-status.md",
+      "research/complex-local-word-ceiling/README.md",
+      "research/complex-decoder-field-extension-seed44/README.md",
+      "research/complex-frame-pair-decoders/README.md",
+      "research/selected-k8-unrestricted-ends/README.md",
+      "research/eisenstein-reduction-copy-floor/README.md"
+    ],
+    "methods": [
+      "Find one exact small decoding identity whose frame path climbs in blocks, and price its complete per-call profile.",
+      "Bound the best effective child rank achievable for one fixed support alphabet, including copies, frames and restoration."
+    ],
+    "acceptance_gate": "A per-call local profile, with all copied information, frames and restoration counted, whose ceiling exceeds the selected word's by at least 5%; masked or overcomplete supports must change an assumption of the eight-term all-pairs bound. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "research/complex-local-word-ceiling/verify.py"
+      ],
+      "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING",
+      "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.",
+      "scope": "Positive control and planning budget only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin. Ideal budget: rank-16 delivery is 2.31x (levers.py).",
+    "bottleneck_link": "Rank-1 children are about half of recursive cost; the selected word's effective child rank is about 3.9. Larger-rank delivery lowers recursive cost per unit of paid mass.",
+    "allowed_variations": [
+      "One masked, overcomplete or block decoder family with exact labels and supports.",
+      "A scoped lower bound on effective rank for one alphabet.",
+      "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope."
+    ],
+    "scope_change_triggers": [
+      "Repacking idle remainders of an unchanged word (covered by the packing ceiling).",
+      "Repeating the eight-term all-pairs search inside its proved scope.",
+      "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.",
+      "Searching below C=40 in the #2017 Eisenstein binary scalar-rectangle or fixed-support block-linear additive pairing model; specify a changed premise instead. This bound does not cover every complex decoder.",
+      "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts."
+    ],
+    "overlap_terms": [
+      "rank shape",
+      "block climb",
+      "masked decoder",
+      "overcomplete",
+      "effective rank"
+    ]
+  },
+  "scope_status": "changed",
+  "actual_scope": "Exact paid-moment obstruction for literal general-Clifford retags at the 640-input retained-center contacts, including arbitrary coherent blocks of the 176 empty-chart contacts.",
+  "scope_change_reason": "The inherited 632-role contact graph freezes owned-center contacts. Retaining all eight centers makes 184 contacts variable; test this new contract with complete incident charges and no independent center reward.",
+  "bottleneck_link": "A real decrease in the center/incident paid Gaussian profile could fund a changed coupled supplier; lowering scalar counts or accelerating the old frozen graph cannot.",
+  "budget_minutes": 60,
+  "stop_rule": "Stop after complete single/pair neighborhoods and the one justified coherent-block cut, without random seeds, larger palettes, compiler/root tightening or mixed-group expansion.",
+  "outcome": "negative-result",
+  "evidence": "188048 single neighbors,1834488 adjacent-pair neighbors,9198 exact integer prefix cuts; every nontrivial tested move strictly increases each r^theta moment for0<theta<1.",
+  "author": "Prepared for Chris R",
+  "ai_assistance": "Substantial OpenAI Codex assistance; dedicated gpt-6.1-sol HIGH research agent under user-authorized parallel work.",
+  "open_questions": [
+    {
+      "question": "Can a literal changed scalar/controller operation or coordinated nonuniform chart choice reduce the complete coupled invoice?",
+      "why_it_matters": "The coherent one-neighbor chart family has a strict paid-loss certificate; a higher kappa requires an actual changed operation and profitable complete consumer.",
+      "first_step": "Write one chronological operation, actual 640-input endpoint and full producer/consumer bill before a new expansion decision.",
+      "blocked_by": "No such profitable physical operation or caller embedding is supplied by this package."
+    }
+  ]
+}
diff --git a/research/sol1337-contact-frontier/VERIFY.json b/research/sol1337-contact-frontier/VERIFY.json
new file mode 100644
index 0000000000..8c8b6614f4
--- /dev/null
+++ b/research/sol1337-contact-frontier/VERIFY.json
@@ -0,0 +1,25 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [
+    "research/sol1337-contact-frontier/vendor/model.py",
+    "research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp",
+    "research/sol1337-contact-frontier/vendor/neighbors.hpp",
+    "research/sol1337-contact-frontier/vendor/retained_verify.py",
+    "research/sol1337-contact-frontier/inputs/round3-native.json.gz"
+  ],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 180,
+      "checks": "Source-bound 640-role graph; exact full-rank single/pair neighborhoods; arbitrary coherent subsets via9198 feasible maxflow/mincut certificates and strict concave-prefix proof. Requires portable C++20 compiler c++. No Lean, native phase or outer replay."
+    }
+  ]
+}
diff --git a/research/sol1337-contact-frontier/build_graph.py b/research/sol1337-contact-frontier/build_graph.py
new file mode 100644
index 0000000000..f68c8ea2e6
--- /dev/null
+++ b/research/sol1337-contact-frontier/build_graph.py
@@ -0,0 +1,118 @@
+#!/usr/bin/env python3
+"""Expose retained arbitrary centers to phase-exact contact compilation.
+
+Apache-2.0. Substantial OpenAI Codex assistance. Credit Cinna Davis #4694,
+Cao Yifan #4610, and Dugongue #4841's inverse-image chart convention.
+This emits discovery constraints, not a physical supplier certificate.
+"""
+from collections import Counter
+from hashlib import sha256
+from pathlib import Path
+import argparse
+import gzip
+import json
+import sys
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parent.parent
+sys.path.insert(0, str(HERE / 'vendor'))
+import model as M
+import retained_verify as R
+
+
+def build(output):
+    raw = (HERE / 'inputs/round3-native.json.gz').read_bytes()
+    M.need(sha256(raw).hexdigest() == R.SOURCE_HASH, 'exact retained native bytes')
+    p = json.loads(gzip.decompress(raw))
+    c = p['canonical']
+    frames = c['frames']
+    starts, centers, events = R.emit(p)
+    nodes, labels, edges = [], [], []
+    selected = []
+
+    def new(f, label):
+        n = len(nodes)
+        nodes.append(f)
+        labels.append(label)
+        return n
+
+    cur = [new(f, ['entry', r]) for r, f in enumerate(starts)]
+    maps = {w['op']: w['G_columns'] for w in c['warps']}
+    maps.update({-op: M.inv(g) for op, g in list(maps.items())})
+    matrices = [[1 << i for i in range(18)]]
+    map_ids = {}
+    for op, g in maps.items():
+        gi = M.inv(g)
+        git = [sum(((gi[j] >> i) & 1) << j for j in range(9)) for i in range(9)]
+
+        def symplectic(v):
+            x, z = v & 511, v >> 9
+            gx = M.mv(g, x)
+            return gx | ((M.mv(git, x ^ z) ^ gx) << 9)
+
+        map_ids[op] = len(matrices)
+        matrices.append([symplectic(1 << i) for i in range(18)])
+
+    lags = [M.lagrangian(f, 9) for f in frames]
+
+    def add_edge(a, b, mp=0):
+        left = [M.mv(matrices[mp], v) for v in lags[nodes[a]]]
+        rank = M.lagrangian_distance(left, lags[nodes[b]], 9)
+        edges.append((a, b, rank, 1, mp))
+
+    def move(r, f, dst=None):
+        a = cur[r]
+        b = new(f, ['transition', r]) if dst is None else dst
+        add_edge(a, b)
+        cur[r] = b
+
+    # Explicit source transports are combined only into their next actual contact.
+    # Every omitted intermediate frame is a source gauge with no logical work.
+    # This is exactly #4841's edge model, now applied to all 640 retained roles.
+    for i, e in enumerate(events):
+        op = e[0]
+        if op in ('add', 'scale'):
+            refs = e[1:3] if op == 'add' else e[1:2]
+            f = e[-1]
+            node = new(f, ['contact', i, list(refs)])
+            if any(r >= 632 for r in refs):
+                selected.append(node)
+            for r in refs:
+                move(r, f, node)
+        elif op == 'warp':
+            _, r, symbol, a, b = e
+            move(r, a)
+            dst = new(b, ['warp', i, r])
+            add_edge(cur[r], dst, map_ids[symbol])
+            cur[r] = dst
+        else:
+            M.need(op == 'transport', 'known retained event')
+
+    for r, f in enumerate(c['final'] + [0] * 8):
+        move(r, f, new(f, ['exit', r]))
+    paid = Counter(rank for a, b, rank, sign, mp in edges if rank)
+    M.need(dict(paid) == R.PAID, 'all paid calls including eight center calls')
+    helper = Counter(len(frames[c['final'][r]]) - len(frames[c['start'][r]])
+                     for r in range(224, 632))
+    M.need(dict(helper) == {4: 28, 7: 7, 8: 47, 9: 326}, 'all independent helper targets')
+    M.need(len(starts) == 640 and len(centers) == 8, 'all arbitrary persistent inputs')
+    selected_set = set(selected)
+    lines = [f'{len(nodes)} {len(lags)} {len(matrices)} {len(edges)}']
+    lines += [f'{f} {int(n not in selected_set)}' for n, f in enumerate(nodes)]
+    lines += [' '.join(map(str, row)) for row in lags + matrices + edges]
+    output.mkdir(parents=True, exist_ok=True)
+    (output / 'center-contact-graph.txt').write_text('\n'.join(lines) + '\n')
+    metadata = dict(source_sha256=sha256(raw).hexdigest(), inputs=640,
+                    nodes=len(nodes), edges=len(edges), fixed_nodes=len(nodes)-len(selected),
+                    newly_variable_center_contacts=len(selected), selected=selected,
+                    paid=dict(sorted(paid.items())), helpers=dict(sorted(helper.items())),
+                    independent_center_reward=0, labels=labels)
+    (output / 'graph-metadata.json').write_text(json.dumps(metadata, indent=2) + '\n')
+    return {k:v for k,v in metadata.items() if k not in ('labels','selected')}
+
+
+if __name__ == '__main__':
+    parser = argparse.ArgumentParser()
+    parser.add_argument('output', type=Path)
+    args = parser.parse_args()
+    print(json.dumps(build(args.output), sort_keys=True))
diff --git a/research/sol1337-contact-frontier/coherent-prefix-screen.json b/research/sol1337-contact-frontier/coherent-prefix-screen.json
new file mode 100644
index 0000000000..8532f0fb3e
--- /dev/null
+++ b/research/sol1337-contact-frontier/coherent-prefix-screen.json
@@ -0,0 +1 @@
+{"scope":"all1022 coherent alternatives for176variableempty-chart contacts andall9 concaveprefix tariffs; exact integerbinarycut","cases":[[0,1,1,0,0,1],[0,1,2,0,0,1],[0,1,3,0,0,1],[0,1,4,0,0,1],[0,1,5,0,0,1],[0,1,6,0,0,1],[0,1,7,0,0,1],[0,1,8,0,0,1],[0,1,9,0,0,1],[0,513,1,0,0,1],[0,513,2,0,0,1],[0,513,3,0,0,1],[0,513,4,0,0,1],[0,513,5,0,0,1],[0,513,6,0,0,1],[0,513,7,0,0,1],[0,513,8,0,0,1],[0,513,9,0,0,1],[0,2,1,0,0,1],[0,2,2,0,0,1],[0,2,3,0,0,1],[0,2,4,0,0,1],[0,2,5,0,0,1],[0,2,6,0,0,1],[0,2,7,0,0,1],[0,2,8,0,0,1],[0,2,9,0,0,1],[0,1026,1,0,0,1],[0,1026,2,0,0,1],[0,1026,3,0,0,1],[0,1026,4,0,0,1],[0,1026,5,0,0,1],[0,1026,6,0,0,1],[0,1026,7,0,0,1],[0,1026,8,0,0,1],[0,1026,9,0,0,1],[0,3,1,0,0,1],[0,3,2,0,0,1],[0,3,3,0,0,1],[0,3,4,0,0,1],[0,3,5,0,0,1],[0,3,6,0,0,1],[0,3,7,0,0,1],[0,3,8,0,0,1],[0,3,9,0,0,1],[0,515,1,0,0,1],[0,515,2,0,0,1],[0,515,3,0,0,1],[0,515,4,0,0,1],[0,515,5,0,0,1],[0,515,6,0,0,1],[0,515,7,0,0,1],[0,515,8,0,0,1],[0,515,9,0,0,1],[0,4,1,0,0,1],[0,4,2,0,0,1],[0,4,3,0,0,1],[0,4,4,0,0,1],[0,4,5,0,0,1],[0,4,6,0,0,1],[0,4,7,0,0,1],[0,4,8,0,0,1],[0,4,9,0,0,1],[0,2052,1,0,0,1],[0,2052,2,0,0,1],[0,2052,3,0,0,1],[0,2052,4,0,0,1],[0,2052,5,0,0,1],[0,2052,6,0,0,1],[0,2052,7,0,0,1],[0,2052,8,0,0,1],[0,2052,9,0,0,1],[0,5,1,0,0,1],[0,5,2,0,0,1],[0,5,3,0,0,1],[0,5,4,0,0,1],[0,5,5,0,0,1],[0,5,6,0,0,1],[0,5,7,0,0,1],[0,5,8,0,0,1],[0,5,9,0,0,1],[0,517,1,0,0,1],[0,517,2,0,0,1],[0,517,3,0,0,1],[0,517,4,0,0,1],[0,517,5,0,0,1],[0,517,6,0,0,1],[0,517,7,0,0,1],[0,517,8,0,0,1],[0,517,9,0,0,1],[0,6,1,0,0,1],[0,6,2,0,0,1],[0,6,3,0,0,1],[0,6,4,0,0,1],[0,6,5,0,0,1],[0,6,6,0,0,1],[0,6,7,0,0,1],[0,6,8,0,0,1],[0,6,9,0,0,1],[0,1030,1,0,0,1],[0,1030,2,0,0,1],[0,1030,3,0,0,1],[0,1030,4,0,0,1],[0,1030,5,0,0,1],[0,1030,6,0,0,1],[0,1030,7,0,0,1],[0,1030,8,0,0,1],[0,1030,9,0,0,1],[0,7,1,0,0,1],[0,7,2,0,0,1],[0,7,3,0,0,1],[0,7,4,0,0,1],[0,7,5,0,0,1],[0,7,6,0,0,1],[0,7,7,0,0,1],[0,7,8,0,0,1],[0,7,9,0,0,1],[0,519,1,0,0,1],[0,519,2,0,0,1],[0,519,3,0,0,1],[0,519,4,0,0,1],[0,519,5,0,0,1],[0,519,6,0,0,1],[0,519,7,0,0,1],[0,519,8,0,0,1],[0,519,9,0,0,1],[0,8,1,0,0,1],[0,8,2,0,0,1],[0,8,3,0,0,1],[0,8,4,0,0,1],[0,8,5,0,0,1],[0,8,6,0,0,1],[0,8,7,0,0,1],[0,8,8,0,0,1],[0,8,9,0,0,1],[0,4104,1,0,0,1],[0,4104,2,0,0,1],[0,4104,3,0,0,1],[0,4104,4,0,0,1],[0,4104,5,0,0,1],[0,4104,6,0,0,1],[0,4104,7,0,0,1],[0,4104,8,0,0,1],[0,4104,9,0,0,1],[0,9,1,0,0,1],[0,9,2,0,0,1],[0,9,3,0,0,1],[0,9,4,0,0,1],[0,9,5,0,0,1],[0,9,6,0,0,1],[0,9,7,0,0,1],[0,9,8,0,0,1],[0,9,9,0,0,1],[0,521,1,0,0,1],[0,521,2,0,0,1],[0,521,3,0,0,1],[0,521,4,0,0,1],[0,521,5,0,0,1],[0,521,6,0,0,1],[0,521,7,0,0,1],[0,521,8,0,0,1],[0,521,9,0,0,1],[0,10,1,0,0,1],[0,10,2,0,0,1],[0,10,3,0,0,1],[0,10,4,0,0,1],[0,10,5,0,0,1],[0,10,6,0,0,1],[0,10,7,0,0,1],[0,10,8,0,0,1],[0,10,9,0,0,1],[0,1034,1,0,0,1],[0,1034,2,0,0,1],[0,1034,3,0,0,1],[0,1034,4,0,0,1],[0,1034,5,0,0,1],[0,1034,6,0,0,1],[0,1034,7,0,0,1],[0,1034,8,0,0,1],[0,1034,9,0,0,1],[0,11,1,0,0,1],[0,11,2,0,0,1],[0,11,3,0,0,1],[0,11,4,0,0,1],[0,11,5,0,0,1],[0,11,6,0,0,1],[0,11,7,0,0,1],[0,11,8,0,0,1],[0,11,9,0,0,1],[0,523,1,0,0,1],[0,523,2,0,0,1],[0,523,3,0,0,1],[0,523,4,0,0,1],[0,523,5,0,0,1],[0,523,6,0,0,1],[0,523,7,0,0,1],[0,523,8,0,0,1],[0,523,9,0,0,1],[0,12,1,0,0,1],[0,12,2,0,0,1],[0,12,3,0,0,1],[0,12,4,0,0,1],[0,12,5,0,0,1],[0,12,6,0,0,1],[0,12,7,0,0,1],[0,12,8,0,0,1],[0,12,9,0,0,1],[0,2060,1,0,0,1],[0,2060,2,0,0,1],[0,2060,3,0,0,1],[0,2060,4,0,0,1],[0,2060,5,0,0,1],[0,2060,6,0,0,1],[0,2060,7,0,0,1],[0,2060,8,0,0,1],[0,2060,9,0,0,1],[0,13,1,0,0,1],[0,13,2,0,0,1],[0,13,3,0,0,1],[0,13,4,0,0,1],[0,13,5,0,0,1],[0,13,6,0,0,1],[0,13,7,0,0,1],[0,13,8,0,0,1],[0,13,9,0,0,1],[0,525,1,0,0,1],[0,525,2,0,0,1],[0,525,3,0,0,1],[0,525,4,0,0,1],[0,525,5,0,0,1],[0,525,6,0,0,1],[0,525,7,0,0,1],[0,525,8,0,0,1],[0,525,9,0,0,1],[0,14,1,0,0,1],[0,14,2,0,0,1],[0,14,3,0,0,1],[0,14,4,0,0,1],[0,14,5,0,0,1],[0,14,6,0,0,1],[0,14,7,0,0,1],[0,14,8,0,0,1],[0,14,9,0,0,1],[0,1038,1,0,0,1],[0,1038,2,0,0,1],[0,1038,3,0,0,1],[0,1038,4,0,0,1],[0,1038,5,0,0,1],[0,1038,6,0,0,1],[0,1038,7,0,0,1],[0,1038,8,0,0,1],[0,1038,9,0,0,1],[0,15,1,0,0,1],[0,15,2,0,0,1],[0,15,3,0,0,1],[0,15,4,0,0,1],[0,15,5,0,0,1],[0,15,6,0,0,1],[0,15,7,0,0,1],[0,15,8,0,0,1],[0,15,9,0,0,1],[0,527,1,0,0,1],[0,527,2,0,0,1],[0,527,3,0,0,1],[0,527,4,0,0,1],[0,527,5,0,0,1],[0,527,6,0,0,1],[0,527,7,0,0,1],[0,527,8,0,0,1],[0,527,9,0,0,1],[0,16,1,0,0,1],[0,16,2,0,0,1],[0,16,3,0,0,1],[0,16,4,0,0,1],[0,16,5,0,0,1],[0,16,6,0,0,1],[0,16,7,0,0,1],[0,16,8,0,0,1],[0,16,9,0,0,1],[0,8208,1,0,0,1],[0,8208,2,0,0,1],[0,8208,3,0,0,1],[0,8208,4,0,0,1],[0,8208,5,0,0,1],[0,8208,6,0,0,1],[0,8208,7,0,0,1],[0,8208,8,0,0,1],[0,8208,9,0,0,1],[0,17,1,0,0,1],[0,17,2,0,0,1],[0,17,3,0,0,1],[0,17,4,0,0,1],[0,17,5,0,0,1],[0,17,6,0,0,1],[0,17,7,0,0,1],[0,17,8,0,0,1],[0,17,9,0,0,1],[0,529,1,0,0,1],[0,529,2,0,0,1],[0,529,3,0,0,1],[0,529,4,0,0,1],[0,529,5,0,0,1],[0,529,6,0,0,1],[0,529,7,0,0,1],[0,529,8,0,0,1],[0,529,9,0,0,1],[0,18,1,0,0,1],[0,18,2,0,0,1],[0,18,3,0,0,1],[0,18,4,0,0,1],[0,18,5,0,0,1],[0,18,6,0,0,1],[0,18,7,0,0,1],[0,18,8,0,0,1],[0,18,9,0,0,1],[0,1042,1,0,0,1],[0,1042,2,0,0,1],[0,1042,3,0,0,1],[0,1042,4,0,0,1],[0,1042,5,0,0,1],[0,1042,6,0,0,1],[0,1042,7,0,0,1],[0,1042,8,0,0,1],[0,1042,9,0,0,1],[0,19,1,0,0,1],[0,19,2,0,0,1],[0,19,3,0,0,1],[0,19,4,0,0,1],[0,19,5,0,0,1],[0,19,6,0,0,1],[0,19,7,0,0,1],[0,19,8,0,0,1],[0,19,9,0,0,1],[0,531,1,0,0,1],[0,531,2,0,0,1],[0,531,3,0,0,1],[0,531,4,0,0,1],[0,531,5,0,0,1],[0,531,6,0,0,1],[0,531,7,0,0,1],[0,531,8,0,0,1],[0,531,9,0,0,1],[0,20,1,0,0,1],[0,20,2,0,0,1],[0,20,3,0,0,1],[0,20,4,0,0,1],[0,20,5,0,0,1],[0,20,6,0,0,1],[0,20,7,0,0,1],[0,20,8,0,0,1],[0,20,9,0,0,1],[0,2068,1,0,0,1],[0,2068,2,0,0,1],[0,2068,3,0,0,1],[0,2068,4,0,0,1],[0,2068,5,0,0,1],[0,2068,6,0,0,1],[0,2068,7,0,0,1],[0,2068,8,0,0,1],[0,2068,9,0,0,1],[0,21,1,0,0,1],[0,21,2,0,0,1],[0,21,3,0,0,1],[0,21,4,0,0,1],[0,21,5,0,0,1],[0,21,6,0,0,1],[0,21,7,0,0,1],[0,21,8,0,0,1],[0,21,9,0,0,1],[0,533,1,0,0,1],[0,533,2,0,0,1],[0,533,3,0,0,1],[0,533,4,0,0,1],[0,533,5,0,0,1],[0,533,6,0,0,1],[0,533,7,0,0,1],[0,533,8,0,0,1],[0,533,9,0,0,1],[0,22,1,0,0,1],[0,22,2,0,0,1],[0,22,3,0,0,1],[0,22,4,0,0,1],[0,22,5,0,0,1],[0,22,6,0,0,1],[0,22,7,0,0,1],[0,22,8,0,0,1],[0,22,9,0,0,1],[0,1046,1,0,0,1],[0,1046,2,0,0,1],[0,1046,3,0,0,1],[0,1046,4,0,0,1],[0,1046,5,0,0,1],[0,1046,6,0,0,1],[0,1046,7,0,0,1],[0,1046,8,0,0,1],[0,1046,9,0,0,1],[0,23,1,0,0,1],[0,23,2,0,0,1],[0,23,3,0,0,1],[0,23,4,0,0,1],[0,23,5,0,0,1],[0,23,6,0,0,1],[0,23,7,0,0,1],[0,23,8,0,0,1],[0,23,9,0,0,1],[0,535,1,0,0,1],[0,535,2,0,0,1],[0,535,3,0,0,1],[0,535,4,0,0,1],[0,535,5,0,0,1],[0,535,6,0,0,1],[0,535,7,0,0,1],[0,535,8,0,0,1],[0,535,9,0,0,1],[0,24,1,0,0,1],[0,24,2,0,0,1],[0,24,3,0,0,1],[0,24,4,0,0,1],[0,24,5,0,0,1],[0,24,6,0,0,1],[0,24,7,0,0,1],[0,24,8,0,0,1],[0,24,9,0,0,1],[0,4120,1,0,0,1],[0,4120,2,0,0,1],[0,4120,3,0,0,1],[0,4120,4,0,0,1],[0,4120,5,0,0,1],[0,4120,6,0,0,1],[0,4120,7,0,0,1],[0,4120,8,0,0,1],[0,4120,9,0,0,1],[0,25,1,0,0,1],[0,25,2,0,0,1],[0,25,3,0,0,1],[0,25,4,0,0,1],[0,25,5,0,0,1],[0,25,6,0,0,1],[0,25,7,0,0,1],[0,25,8,0,0,1],[0,25,9,0,0,1],[0,537,1,0,0,1],[0,537,2,0,0,1],[0,537,3,0,0,1],[0,537,4,0,0,1],[0,537,5,0,0,1],[0,537,6,0,0,1],[0,537,7,0,0,1],[0,537,8,0,0,1],[0,537,9,0,0,1],[0,26,1,0,0,1],[0,26,2,0,0,1],[0,26,3,0,0,1],[0,26,4,0,0,1],[0,26,5,0,0,1],[0,26,6,0,0,1],[0,26,7,0,0,1],[0,26,8,0,0,1],[0,26,9,0,0,1],[0,1050,1,0,0,1],[0,1050,2,0,0,1],[0,1050,3,0,0,1],[0,1050,4,0,0,1],[0,1050,5,0,0,1],[0,1050,6,0,0,1],[0,1050,7,0,0,1],[0,1050,8,0,0,1],[0,1050,9,0,0,1],[0,27,1,0,0,1],[0,27,2,0,0,1],[0,27,3,0,0,1],[0,27,4,0,0,1],[0,27,5,0,0,1],[0,27,6,0,0,1],[0,27,7,0,0,1],[0,27,8,0,0,1],[0,27,9,0,0,1],[0,539,1,0,0,1],[0,539,2,0,0,1],[0,539,3,0,0,1],[0,539,4,0,0,1],[0,539,5,0,0,1],[0,539,6,0,0,1],[0,539,7,0,0,1],[0,539,8,0,0,1],[0,539,9,0,0,1],[0,28,1,0,0,1],[0,28,2,0,0,1],[0,28,3,0,0,1],[0,28,4,0,0,1],[0,28,5,0,0,1],[0,28,6,0,0,1],[0,28,7,0,0,1],[0,28,8,0,0,1],[0,28,9,0,0,1],[0,2076,1,0,0,1],[0,2076,2,0,0,1],[0,2076,3,0,0,1],[0,2076,4,0,0,1],[0,2076,5,0,0,1],[0,2076,6,0,0,1],[0,2076,7,0,0,1],[0,2076,8,0,0,1],[0,2076,9,0,0,1],[0,29,1,0,0,1],[0,29,2,0,0,1],[0,29,3,0,0,1],[0,29,4,0,0,1],[0,29,5,0,0,1],[0,29,6,0,0,1],[0,29,7,0,0,1],[0,29,8,0,0,1],[0,29,9,0,0,1],[0,541,1,0,0,1],[0,541,2,0,0,1],[0,541,3,0,0,1],[0,541,4,0,0,1],[0,541,5,0,0,1],[0,541,6,0,0,1],[0,541,7,0,0,1],[0,541,8,0,0,1],[0,541,9,0,0,1],[0,30,1,0,0,1],[0,30,2,0,0,1],[0,30,3,0,0,1],[0,30,4,0,0,1],[0,30,5,0,0,1],[0,30,6,0,0,1],[0,30,7,0,0,1],[0,30,8,0,0,1],[0,30,9,0,0,1],[0,1054,1,0,0,1],[0,1054,2,0,0,1],[0,1054,3,0,0,1],[0,1054,4,0,0,1],[0,1054,5,0,0,1],[0,1054,6,0,0,1],[0,1054,7,0,0,1],[0,1054,8,0,0,0],[0,1054,9,0,0,0],[0,31,1,0,0,1],[0,31,2,0,0,1],[0,31,3,0,0,1],[0,31,4,0,0,1],[0,31,5,0,0,1],[0,31,6,0,0,1],[0,31,7,0,0,1],[0,31,8,0,0,1],[0,31,9,0,0,1],[0,543,1,0,0,1],[0,543,2,0,0,1],[0,543,3,0,0,1],[0,543,4,0,0,1],[0,543,5,0,0,1],[0,543,6,0,0,1],[0,543,7,0,0,1],[0,543,8,0,0,1],[0,543,9,0,0,1],[0,32,1,0,0,1],[0,32,2,0,0,1],[0,32,3,0,0,1],[0,32,4,0,0,1],[0,32,5,0,0,1],[0,32,6,0,0,1],[0,32,7,0,0,1],[0,32,8,0,0,1],[0,32,9,0,0,1],[0,16416,1,0,0,1],[0,16416,2,0,0,1],[0,16416,3,0,0,1],[0,16416,4,0,0,1],[0,16416,5,0,0,1],[0,16416,6,0,0,1],[0,16416,7,0,0,1],[0,16416,8,0,0,1],[0,16416,9,0,0,1],[0,33,1,0,0,1],[0,33,2,0,0,1],[0,33,3,0,0,1],[0,33,4,0,0,1],[0,33,5,0,0,1],[0,33,6,0,0,1],[0,33,7,0,0,1],[0,33,8,0,0,1],[0,33,9,0,0,1],[0,545,1,0,0,1],[0,545,2,0,0,1],[0,545,3,0,0,1],[0,545,4,0,0,1],[0,545,5,0,0,1],[0,545,6,0,0,1],[0,545,7,0,0,1],[0,545,8,0,0,1],[0,545,9,0,0,1],[0,34,1,0,0,1],[0,34,2,0,0,1],[0,34,3,0,0,1],[0,34,4,0,0,1],[0,34,5,0,0,1],[0,34,6,0,0,1],[0,34,7,0,0,1],[0,34,8,0,0,1],[0,34,9,0,0,1],[0,1058,1,0,0,1],[0,1058,2,0,0,1],[0,1058,3,0,0,1],[0,1058,4,0,0,1],[0,1058,5,0,0,1],[0,1058,6,0,0,1],[0,1058,7,0,0,1],[0,1058,8,0,0,1],[0,1058,9,0,0,1],[0,35,1,0,0,1],[0,35,2,0,0,1],[0,35,3,0,0,1],[0,35,4,0,0,1],[0,35,5,0,0,1],[0,35,6,0,0,1],[0,35,7,0,0,1],[0,35,8,0,0,1],[0,35,9,0,0,1],[0,547,1,0,0,1],[0,547,2,0,0,1],[0,547,3,0,0,1],[0,547,4,0,0,1],[0,547,5,0,0,1],[0,547,6,0,0,1],[0,547,7,0,0,1],[0,547,8,0,0,1],[0,547,9,0,0,1],[0,36,1,0,0,1],[0,36,2,0,0,1],[0,36,3,0,0,1],[0,36,4,0,0,1],[0,36,5,0,0,1],[0,36,6,0,0,1],[0,36,7,0,0,1],[0,36,8,0,0,1],[0,36,9,0,0,1],[0,2084,1,0,0,1],[0,2084,2,0,0,1],[0,2084,3,0,0,1],[0,2084,4,0,0,1],[0,2084,5,0,0,1],[0,2084,6,0,0,1],[0,2084,7,0,0,1],[0,2084,8,0,0,1],[0,2084,9,0,0,1],[0,37,1,0,0,1],[0,37,2,0,0,1],[0,37,3,0,0,1],[0,37,4,0,0,1],[0,37,5,0,0,1],[0,37,6,0,0,1],[0,37,7,0,0,1],[0,37,8,0,0,1],[0,37,9,0,0,1],[0,549,1,0,0,1],[0,549,2,0,0,1],[0,549,3,0,0,1],[0,549,4,0,0,1],[0,549,5,0,0,1],[0,549,6,0,0,1],[0,549,7,0,0,1],[0,549,8,0,0,1],[0,549,9,0,0,1],[0,38,1,0,0,1],[0,38,2,0,0,1],[0,38,3,0,0,1],[0,38,4,0,0,1],[0,38,5,0,0,1],[0,38,6,0,0,1],[0,38,7,0,0,1],[0,38,8,0,0,1],[0,38,9,0,0,1],[0,1062,1,0,0,1],[0,1062,2,0,0,1],[0,1062,3,0,0,1],[0,1062,4,0,0,1],[0,1062,5,0,0,1],[0,1062,6,0,0,1],[0,1062,7,0,0,1],[0,1062,8,0,0,1],[0,1062,9,0,0,1],[0,39,1,0,0,1],[0,39,2,0,0,1],[0,39,3,0,0,1],[0,39,4,0,0,1],[0,39,5,0,0,1],[0,39,6,0,0,1],[0,39,7,0,0,1],[0,39,8,0,0,1],[0,39,9,0,0,1],[0,551,1,0,0,1],[0,551,2,0,0,1],[0,551,3,0,0,1],[0,551,4,0,0,1],[0,551,5,0,0,1],[0,551,6,0,0,1],[0,551,7,0,0,1],[0,551,8,0,0,1],[0,551,9,0,0,1],[0,40,1,0,0,1],[0,40,2,0,0,1],[0,40,3,0,0,1],[0,40,4,0,0,1],[0,40,5,0,0,1],[0,40,6,0,0,1],[0,40,7,0,0,1],[0,40,8,0,0,1],[0,40,9,0,0,1],[0,4136,1,0,0,1],[0,4136,2,0,0,1],[0,4136,3,0,0,1],[0,4136,4,0,0,1],[0,4136,5,0,0,1],[0,4136,6,0,0,1],[0,4136,7,0,0,1],[0,4136,8,0,0,1],[0,4136,9,0,0,1],[0,41,1,0,0,1],[0,41,2,0,0,1],[0,41,3,0,0,1],[0,41,4,0,0,1],[0,41,5,0,0,1],[0,41,6,0,0,1],[0,41,7,0,0,1],[0,41,8,0,0,1],[0,41,9,0,0,1],[0,553,1,0,0,1],[0,553,2,0,0,1],[0,553,3,0,0,1],[0,553,4,0,0,1],[0,553,5,0,0,1],[0,553,6,0,0,1],[0,553,7,0,0,1],[0,553,8,0,0,1],[0,553,9,0,0,1],[0,42,1,0,0,1],[0,42,2,0,0,1],[0,42,3,0,0,1],[0,42,4,0,0,1],[0,42,5,0,0,1],[0,42,6,0,0,1],[0,42,7,0,0,1],[0,42,8,0,0,1],[0,42,9,0,0,1],[0,1066,1,0,0,1],[0,1066,2,0,0,1],[0,1066,3,0,0,1],[0,1066,4,0,0,1],[0,1066,5,0,0,1],[0,1066,6,0,0,1],[0,1066,7,0,0,1],[0,1066,8,0,0,1],[0,1066,9,0,0,1],[0,43,1,0,0,1],[0,43,2,0,0,1],[0,43,3,0,0,1],[0,43,4,0,0,1],[0,43,5,0,0,1],[0,43,6,0,0,1],[0,43,7,0,0,1],[0,43,8,0,0,1],[0,43,9,0,0,1],[0,555,1,0,0,1],[0,555,2,0,0,1],[0,555,3,0,0,1],[0,555,4,0,0,1],[0,555,5,0,0,1],[0,555,6,0,0,1],[0,555,7,0,0,1],[0,555,8,0,0,1],[0,555,9,0,0,1],[0,44,1,0,0,1],[0,44,2,0,0,1],[0,44,3,0,0,1],[0,44,4,0,0,1],[0,44,5,0,0,1],[0,44,6,0,0,1],[0,44,7,0,0,1],[0,44,8,0,0,1],[0,44,9,0,0,1],[0,2092,1,0,0,1],[0,2092,2,0,0,1],[0,2092,3,0,0,1],[0,2092,4,0,0,1],[0,2092,5,0,0,1],[0,2092,6,0,0,1],[0,2092,7,0,0,1],[0,2092,8,0,0,1],[0,2092,9,0,0,1],[0,45,1,0,0,1],[0,45,2,0,0,1],[0,45,3,0,0,1],[0,45,4,0,0,1],[0,45,5,0,0,1],[0,45,6,0,0,1],[0,45,7,0,0,1],[0,45,8,0,0,1],[0,45,9,0,0,1],[0,557,1,0,0,1],[0,557,2,0,0,1],[0,557,3,0,0,1],[0,557,4,0,0,1],[0,557,5,0,0,1],[0,557,6,0,0,1],[0,557,7,0,0,1],[0,557,8,0,0,0],[0,557,9,0,0,0],[0,46,1,0,0,1],[0,46,2,0,0,1],[0,46,3,0,0,1],[0,46,4,0,0,1],[0,46,5,0,0,1],[0,46,6,0,0,1],[0,46,7,0,0,1],[0,46,8,0,0,1],[0,46,9,0,0,1],[0,1070,1,0,0,1],[0,1070,2,0,0,1],[0,1070,3,0,0,1],[0,1070,4,0,0,1],[0,1070,5,0,0,1],[0,1070,6,0,0,1],[0,1070,7,0,0,1],[0,1070,8,0,0,1],[0,1070,9,0,0,1],[0,47,1,0,0,1],[0,47,2,0,0,1],[0,47,3,0,0,1],[0,47,4,0,0,1],[0,47,5,0,0,1],[0,47,6,0,0,1],[0,47,7,0,0,1],[0,47,8,0,0,1],[0,47,9,0,0,1],[0,559,1,0,0,1],[0,559,2,0,0,1],[0,559,3,0,0,1],[0,559,4,0,0,1],[0,559,5,0,0,1],[0,559,6,0,0,1],[0,559,7,0,0,1],[0,559,8,0,0,1],[0,559,9,0,0,1],[0,48,1,0,0,1],[0,48,2,0,0,1],[0,48,3,0,0,1],[0,48,4,0,0,1],[0,48,5,0,0,1],[0,48,6,0,0,1],[0,48,7,0,0,1],[0,48,8,0,0,1],[0,48,9,0,0,1],[0,8240,1,0,0,1],[0,8240,2,0,0,1],[0,8240,3,0,0,1],[0,8240,4,0,0,1],[0,8240,5,0,0,1],[0,8240,6,0,0,1],[0,8240,7,0,0,1],[0,8240,8,0,0,1],[0,8240,9,0,0,1],[0,49,1,0,0,1],[0,49,2,0,0,1],[0,49,3,0,0,1],[0,49,4,0,0,1],[0,49,5,0,0,1],[0,49,6,0,0,1],[0,49,7,0,0,1],[0,49,8,0,0,1],[0,49,9,0,0,1],[0,561,1,0,0,1],[0,561,2,0,0,1],[0,561,3,0,0,1],[0,561,4,0,0,1],[0,561,5,0,0,1],[0,561,6,0,0,1],[0,561,7,0,0,1],[0,561,8,0,0,1],[0,561,9,0,0,1],[0,50,1,0,0,1],[0,50,2,0,0,1],[0,50,3,0,0,1],[0,50,4,0,0,1],[0,50,5,0,0,1],[0,50,6,0,0,1],[0,50,7,0,0,1],[0,50,8,0,0,1],[0,50,9,0,0,1],[0,1074,1,0,0,1],[0,1074,2,0,0,1],[0,1074,3,0,0,1],[0,1074,4,0,0,1],[0,1074,5,0,0,1],[0,1074,6,0,0,1],[0,1074,7,0,0,1],[0,1074,8,0,0,1],[0,1074,9,0,0,1],[0,51,1,0,0,1],[0,51,2,0,0,1],[0,51,3,0,0,1],[0,51,4,0,0,1],[0,51,5,0,0,1],[0,51,6,0,0,1],[0,51,7,0,0,1],[0,51,8,0,0,1],[0,51,9,0,0,1],[0,563,1,0,0,1],[0,563,2,0,0,1],[0,563,3,0,0,1],[0,563,4,0,0,1],[0,563,5,0,0,1],[0,563,6,0,0,1],[0,563,7,0,0,1],[0,563,8,0,0,0],[0,563,9,0,0,0],[0,52,1,0,0,1],[0,52,2,0,0,1],[0,52,3,0,0,1],[0,52,4,0,0,1],[0,52,5,0,0,1],[0,52,6,0,0,1],[0,52,7,0,0,1],[0,52,8,0,0,1],[0,52,9,0,0,1],[0,2100,1,0,0,1],[0,2100,2,0,0,1],[0,2100,3,0,0,1],[0,2100,4,0,0,1],[0,2100,5,0,0,1],[0,2100,6,0,0,1],[0,2100,7,0,0,1],[0,2100,8,0,0,1],[0,2100,9,0,0,1],[0,53,1,0,0,1],[0,53,2,0,0,1],[0,53,3,0,0,1],[0,53,4,0,0,1],[0,53,5,0,0,1],[0,53,6,0,0,1],[0,53,7,0,0,1],[0,53,8,0,0,1],[0,53,9,0,0,1],[0,565,1,0,0,1],[0,565,2,0,0,1],[0,565,3,0,0,1],[0,565,4,0,0,1],[0,565,5,0,0,1],[0,565,6,0,0,1],[0,565,7,0,0,1],[0,565,8,0,0,1],[0,565,9,0,0,1],[0,54,1,0,0,1],[0,54,2,0,0,1],[0,54,3,0,0,1],[0,54,4,0,0,1],[0,54,5,0,0,1],[0,54,6,0,0,1],[0,54,7,0,0,1],[0,54,8,0,0,1],[0,54,9,0,0,1],[0,1078,1,0,0,1],[0,1078,2,0,0,1],[0,1078,3,0,0,1],[0,1078,4,0,0,1],[0,1078,5,0,0,1],[0,1078,6,0,0,1],[0,1078,7,0,0,1],[0,1078,8,0,0,1],[0,1078,9,0,0,1],[0,55,1,0,0,1],[0,55,2,0,0,1],[0,55,3,0,0,1],[0,55,4,0,0,1],[0,55,5,0,0,1],[0,55,6,0,0,1],[0,55,7,0,0,1],[0,55,8,0,0,1],[0,55,9,0,0,1],[0,567,1,0,0,1],[0,567,2,0,0,1],[0,567,3,0,0,1],[0,567,4,0,0,1],[0,567,5,0,0,1],[0,567,6,0,0,1],[0,567,7,0,0,1],[0,567,8,0,0,1],[0,567,9,0,0,1],[0,56,1,0,0,1],[0,56,2,0,0,1],[0,56,3,0,0,1],[0,56,4,0,0,1],[0,56,5,0,0,1],[0,56,6,0,0,1],[0,56,7,0,0,1],[0,56,8,0,0,1],[0,56,9,0,0,1],[0,4152,1,0,0,1],[0,4152,2,0,0,1],[0,4152,3,0,0,1],[0,4152,4,0,0,1],[0,4152,5,0,0,1],[0,4152,6,0,0,1],[0,4152,7,0,0,1],[0,4152,8,0,0,1],[0,4152,9,0,0,1],[0,57,1,0,0,1],[0,57,2,0,0,1],[0,57,3,0,0,1],[0,57,4,0,0,1],[0,57,5,0,0,1],[0,57,6,0,0,1],[0,57,7,0,0,1],[0,57,8,0,0,1],[0,57,9,0,0,1],[0,569,1,0,0,1],[0,569,2,0,0,1],[0,569,3,0,0,1],[0,569,4,0,0,1],[0,569,5,0,0,1],[0,569,6,0,0,1],[0,569,7,0,0,1],[0,569,8,0,0,1],[0,569,9,0,0,1],[0,58,1,0,0,1],[0,58,2,0,0,1],[0,58,3,0,0,1],[0,58,4,0,0,1],[0,58,5,0,0,1],[0,58,6,0,0,1],[0,58,7,0,0,1],[0,58,8,0,0,1],[0,58,9,0,0,1],[0,1082,1,0,0,1],[0,1082,2,0,0,1],[0,1082,3,0,0,1],[0,1082,4,0,0,1],[0,1082,5,0,0,1],[0,1082,6,0,0,1],[0,1082,7,0,0,1],[0,1082,8,0,0,1],[0,1082,9,0,0,1],[0,59,1,0,0,1],[0,59,2,0,0,1],[0,59,3,0,0,1],[0,59,4,0,0,1],[0,59,5,0,0,1],[0,59,6,0,0,1],[0,59,7,0,0,1],[0,59,8,0,0,1],[0,59,9,0,0,1],[0,571,1,0,0,1],[0,571,2,0,0,1],[0,571,3,0,0,1],[0,571,4,0,0,1],[0,571,5,0,0,1],[0,571,6,0,0,1],[0,571,7,0,0,1],[0,571,8,0,0,1],[0,571,9,0,0,1],[0,60,1,0,0,1],[0,60,2,0,0,1],[0,60,3,0,0,1],[0,60,4,0,0,1],[0,60,5,0,0,1],[0,60,6,0,0,1],[0,60,7,0,0,1],[0,60,8,0,0,1],[0,60,9,0,0,1],[0,2108,1,0,0,1],[0,2108,2,0,0,1],[0,2108,3,0,0,1],[0,2108,4,0,0,1],[0,2108,5,0,0,1],[0,2108,6,0,0,1],[0,2108,7,0,0,1],[0,2108,8,0,0,1],[0,2108,9,0,0,1],[0,61,1,0,0,1],[0,61,2,0,0,1],[0,61,3,0,0,1],[0,61,4,0,0,1],[0,61,5,0,0,1],[0,61,6,0,0,1],[0,61,7,0,0,1],[0,61,8,0,0,1],[0,61,9,0,0,1],[0,573,1,0,0,1],[0,573,2,0,0,1],[0,573,3,0,0,1],[0,573,4,0,0,1],[0,573,5,0,0,1],[0,573,6,0,0,1],[0,573,7,0,0,1],[0,573,8,0,0,1],[0,573,9,0,0,1],[0,62,1,0,0,1],[0,62,2,0,0,1],[0,62,3,0,0,1],[0,62,4,0,0,1],[0,62,5,0,0,1],[0,62,6,0,0,1],[0,62,7,0,0,1],[0,62,8,0,0,1],[0,62,9,0,0,1],[0,1086,1,0,0,1],[0,1086,2,0,0,1],[0,1086,3,0,0,1],[0,1086,4,0,0,1],[0,1086,5,0,0,1],[0,1086,6,0,0,1],[0,1086,7,0,0,1],[0,1086,8,0,0,1],[0,1086,9,0,0,1],[0,63,1,0,0,1],[0,63,2,0,0,1],[0,63,3,0,0,1],[0,63,4,0,0,1],[0,63,5,0,0,1],[0,63,6,0,0,1],[0,63,7,0,0,1],[0,63,8,0,0,1],[0,63,9,0,0,1],[0,575,1,0,0,1],[0,575,2,0,0,1],[0,575,3,0,0,1],[0,575,4,0,0,1],[0,575,5,0,0,1],[0,575,6,0,0,1],[0,575,7,0,0,1],[0,575,8,0,0,1],[0,575,9,0,0,1],[0,64,1,0,0,1],[0,64,2,0,0,1],[0,64,3,0,0,1],[0,64,4,0,0,1],[0,64,5,0,0,1],[0,64,6,0,0,1],[0,64,7,0,0,1],[0,64,8,0,0,1],[0,64,9,0,0,1],[0,32832,1,0,0,1],[0,32832,2,0,0,1],[0,32832,3,0,0,1],[0,32832,4,0,0,1],[0,32832,5,0,0,1],[0,32832,6,0,0,1],[0,32832,7,0,0,1],[0,32832,8,0,0,1],[0,32832,9,0,0,1],[0,65,1,0,0,1],[0,65,2,0,0,1],[0,65,3,0,0,1],[0,65,4,0,0,1],[0,65,5,0,0,1],[0,65,6,0,0,1],[0,65,7,0,0,1],[0,65,8,0,0,1],[0,65,9,0,0,1],[0,577,1,0,0,1],[0,577,2,0,0,1],[0,577,3,0,0,1],[0,577,4,0,0,1],[0,577,5,0,0,1],[0,577,6,0,0,1],[0,577,7,0,0,1],[0,577,8,0,0,1],[0,577,9,0,0,1],[0,66,1,0,0,1],[0,66,2,0,0,1],[0,66,3,0,0,1],[0,66,4,0,0,1],[0,66,5,0,0,1],[0,66,6,0,0,1],[0,66,7,0,0,1],[0,66,8,0,0,1],[0,66,9,0,0,1],[0,1090,1,0,0,1],[0,1090,2,0,0,1],[0,1090,3,0,0,1],[0,1090,4,0,0,1],[0,1090,5,0,0,1],[0,1090,6,0,0,1],[0,1090,7,0,0,1],[0,1090,8,0,0,1],[0,1090,9,0,0,1],[0,67,1,0,0,1],[0,67,2,0,0,1],[0,67,3,0,0,1],[0,67,4,0,0,1],[0,67,5,0,0,1],[0,67,6,0,0,1],[0,67,7,0,0,1],[0,67,8,0,0,1],[0,67,9,0,0,1],[0,579,1,0,0,1],[0,579,2,0,0,1],[0,579,3,0,0,1],[0,579,4,0,0,1],[0,579,5,0,0,1],[0,579,6,0,0,1],[0,579,7,0,0,1],[0,579,8,0,0,1],[0,579,9,0,0,1],[0,68,1,0,0,1],[0,68,2,0,0,1],[0,68,3,0,0,1],[0,68,4,0,0,1],[0,68,5,0,0,1],[0,68,6,0,0,1],[0,68,7,0,0,1],[0,68,8,0,0,1],[0,68,9,0,0,1],[0,2116,1,0,0,1],[0,2116,2,0,0,1],[0,2116,3,0,0,1],[0,2116,4,0,0,1],[0,2116,5,0,0,1],[0,2116,6,0,0,1],[0,2116,7,0,0,1],[0,2116,8,0,0,1],[0,2116,9,0,0,1],[0,69,1,0,0,1],[0,69,2,0,0,1],[0,69,3,0,0,1],[0,69,4,0,0,1],[0,69,5,0,0,1],[0,69,6,0,0,1],[0,69,7,0,0,1],[0,69,8,0,0,1],[0,69,9,0,0,1],[0,581,1,0,0,1],[0,581,2,0,0,1],[0,581,3,0,0,1],[0,581,4,0,0,1],[0,581,5,0,0,1],[0,581,6,0,0,1],[0,581,7,0,0,1],[0,581,8,0,0,1],[0,581,9,0,0,1],[0,70,1,0,0,1],[0,70,2,0,0,1],[0,70,3,0,0,1],[0,70,4,0,0,1],[0,70,5,0,0,1],[0,70,6,0,0,1],[0,70,7,0,0,1],[0,70,8,0,0,1],[0,70,9,0,0,1],[0,1094,1,0,0,1],[0,1094,2,0,0,1],[0,1094,3,0,0,1],[0,1094,4,0,0,1],[0,1094,5,0,0,1],[0,1094,6,0,0,1],[0,1094,7,0,0,1],[0,1094,8,0,0,1],[0,1094,9,0,0,1],[0,71,1,0,0,1],[0,71,2,0,0,1],[0,71,3,0,0,1],[0,71,4,0,0,1],[0,71,5,0,0,1],[0,71,6,0,0,1],[0,71,7,0,0,1],[0,71,8,0,0,1],[0,71,9,0,0,1],[0,583,1,0,0,1],[0,583,2,0,0,1],[0,583,3,0,0,1],[0,583,4,0,0,1],[0,583,5,0,0,1],[0,583,6,0,0,1],[0,583,7,0,0,1],[0,583,8,0,0,1],[0,583,9,0,0,1],[0,72,1,0,0,1],[0,72,2,0,0,1],[0,72,3,0,0,1],[0,72,4,0,0,1],[0,72,5,0,0,1],[0,72,6,0,0,1],[0,72,7,0,0,1],[0,72,8,0,0,1],[0,72,9,0,0,1],[0,4168,1,0,0,1],[0,4168,2,0,0,1],[0,4168,3,0,0,1],[0,4168,4,0,0,1],[0,4168,5,0,0,1],[0,4168,6,0,0,1],[0,4168,7,0,0,1],[0,4168,8,0,0,1],[0,4168,9,0,0,1],[0,73,1,0,0,1],[0,73,2,0,0,1],[0,73,3,0,0,1],[0,73,4,0,0,1],[0,73,5,0,0,1],[0,73,6,0,0,1],[0,73,7,0,0,1],[0,73,8,0,0,1],[0,73,9,0,0,1],[0,585,1,0,0,1],[0,585,2,0,0,1],[0,585,3,0,0,1],[0,585,4,0,0,1],[0,585,5,0,0,1],[0,585,6,0,0,1],[0,585,7,0,0,1],[0,585,8,0,0,1],[0,585,9,0,0,1],[0,74,1,0,0,1],[0,74,2,0,0,1],[0,74,3,0,0,1],[0,74,4,0,0,1],[0,74,5,0,0,1],[0,74,6,0,0,1],[0,74,7,0,0,1],[0,74,8,0,0,1],[0,74,9,0,0,1],[0,1098,1,0,0,1],[0,1098,2,0,0,1],[0,1098,3,0,0,1],[0,1098,4,0,0,1],[0,1098,5,0,0,1],[0,1098,6,0,0,1],[0,1098,7,0,0,1],[0,1098,8,0,0,1],[0,1098,9,0,0,1],[0,75,1,0,0,1],[0,75,2,0,0,1],[0,75,3,0,0,1],[0,75,4,0,0,1],[0,75,5,0,0,1],[0,75,6,0,0,1],[0,75,7,0,0,1],[0,75,8,0,0,1],[0,75,9,0,0,1],[0,587,1,0,0,1],[0,587,2,0,0,1],[0,587,3,0,0,1],[0,587,4,0,0,1],[0,587,5,0,0,1],[0,587,6,0,0,1],[0,587,7,0,0,1],[0,587,8,0,0,1],[0,587,9,0,0,1],[0,76,1,0,0,1],[0,76,2,0,0,1],[0,76,3,0,0,1],[0,76,4,0,0,1],[0,76,5,0,0,1],[0,76,6,0,0,1],[0,76,7,0,0,1],[0,76,8,0,0,1],[0,76,9,0,0,1],[0,2124,1,0,0,1],[0,2124,2,0,0,1],[0,2124,3,0,0,1],[0,2124,4,0,0,1],[0,2124,5,0,0,1],[0,2124,6,0,0,1],[0,2124,7,0,0,1],[0,2124,8,0,0,1],[0,2124,9,0,0,1],[0,77,1,0,0,1],[0,77,2,0,0,1],[0,77,3,0,0,1],[0,77,4,0,0,1],[0,77,5,0,0,1],[0,77,6,0,0,1],[0,77,7,0,0,1],[0,77,8,0,0,1],[0,77,9,0,0,1],[0,589,1,0,0,1],[0,589,2,0,0,1],[0,589,3,0,0,1],[0,589,4,0,0,1],[0,589,5,0,0,1],[0,589,6,0,0,1],[0,589,7,0,0,1],[0,589,8,0,0,1],[0,589,9,0,0,1],[0,78,1,0,0,1],[0,78,2,0,0,1],[0,78,3,0,0,1],[0,78,4,0,0,1],[0,78,5,0,0,1],[0,78,6,0,0,1],[0,78,7,0,0,1],[0,78,8,0,0,1],[0,78,9,0,0,1],[0,1102,1,0,0,1],[0,1102,2,0,0,1],[0,1102,3,0,0,1],[0,1102,4,0,0,1],[0,1102,5,0,0,1],[0,1102,6,0,0,1],[0,1102,7,0,0,1],[0,1102,8,0,0,1],[0,1102,9,0,0,1],[0,79,1,0,0,1],[0,79,2,0,0,1],[0,79,3,0,0,1],[0,79,4,0,0,1],[0,79,5,0,0,1],[0,79,6,0,0,1],[0,79,7,0,0,1],[0,79,8,0,0,1],[0,79,9,0,0,1],[0,591,1,0,0,1],[0,591,2,0,0,1],[0,591,3,0,0,1],[0,591,4,0,0,1],[0,591,5,0,0,1],[0,591,6,0,0,1],[0,591,7,0,0,1],[0,591,8,0,0,1],[0,591,9,0,0,1],[0,80,1,0,0,1],[0,80,2,0,0,1],[0,80,3,0,0,1],[0,80,4,0,0,1],[0,80,5,0,0,1],[0,80,6,0,0,1],[0,80,7,0,0,1],[0,80,8,0,0,1],[0,80,9,0,0,1],[0,8272,1,0,0,1],[0,8272,2,0,0,1],[0,8272,3,0,0,1],[0,8272,4,0,0,1],[0,8272,5,0,0,1],[0,8272,6,0,0,1],[0,8272,7,0,0,1],[0,8272,8,0,0,1],[0,8272,9,0,0,1],[0,81,1,0,0,1],[0,81,2,0,0,1],[0,81,3,0,0,1],[0,81,4,0,0,1],[0,81,5,0,0,1],[0,81,6,0,0,1],[0,81,7,0,0,1],[0,81,8,0,0,1],[0,81,9,0,0,1],[0,593,1,0,0,1],[0,593,2,0,0,1],[0,593,3,0,0,1],[0,593,4,0,0,1],[0,593,5,0,0,1],[0,593,6,0,0,1],[0,593,7,0,0,1],[0,593,8,0,0,1],[0,593,9,0,0,1],[0,82,1,0,0,1],[0,82,2,0,0,1],[0,82,3,0,0,1],[0,82,4,0,0,1],[0,82,5,0,0,1],[0,82,6,0,0,1],[0,82,7,0,0,1],[0,82,8,0,0,1],[0,82,9,0,0,1],[0,1106,1,0,0,1],[0,1106,2,0,0,1],[0,1106,3,0,0,1],[0,1106,4,0,0,1],[0,1106,5,0,0,1],[0,1106,6,0,0,1],[0,1106,7,0,0,1],[0,1106,8,0,0,1],[0,1106,9,0,0,1],[0,83,1,0,0,1],[0,83,2,0,0,1],[0,83,3,0,0,1],[0,83,4,0,0,1],[0,83,5,0,0,1],[0,83,6,0,0,1],[0,83,7,0,0,1],[0,83,8,0,0,1],[0,83,9,0,0,1],[0,595,1,0,0,1],[0,595,2,0,0,1],[0,595,3,0,0,1],[0,595,4,0,0,1],[0,595,5,0,0,1],[0,595,6,0,0,1],[0,595,7,0,0,1],[0,595,8,0,0,1],[0,595,9,0,0,1],[0,84,1,0,0,1],[0,84,2,0,0,1],[0,84,3,0,0,1],[0,84,4,0,0,1],[0,84,5,0,0,1],[0,84,6,0,0,1],[0,84,7,0,0,1],[0,84,8,0,0,1],[0,84,9,0,0,1],[0,2132,1,0,0,1],[0,2132,2,0,0,1],[0,2132,3,0,0,1],[0,2132,4,0,0,1],[0,2132,5,0,0,1],[0,2132,6,0,0,1],[0,2132,7,0,0,1],[0,2132,8,0,0,1],[0,2132,9,0,0,1],[0,85,1,0,0,1],[0,85,2,0,0,1],[0,85,3,0,0,1],[0,85,4,0,0,1],[0,85,5,0,0,1],[0,85,6,0,0,1],[0,85,7,0,0,1],[0,85,8,0,0,1],[0,85,9,0,0,1],[0,597,1,0,0,1],[0,597,2,0,0,1],[0,597,3,0,0,1],[0,597,4,0,0,1],[0,597,5,0,0,1],[0,597,6,0,0,1],[0,597,7,0,0,1],[0,597,8,0,0,1],[0,597,9,0,0,1],[0,86,1,0,0,1],[0,86,2,0,0,1],[0,86,3,0,0,1],[0,86,4,0,0,1],[0,86,5,0,0,1],[0,86,6,0,0,1],[0,86,7,0,0,1],[0,86,8,0,0,1],[0,86,9,0,0,1],[0,1110,1,0,0,1],[0,1110,2,0,0,1],[0,1110,3,0,0,1],[0,1110,4,0,0,1],[0,1110,5,0,0,1],[0,1110,6,0,0,1],[0,1110,7,0,0,1],[0,1110,8,0,0,1],[0,1110,9,0,0,1],[0,87,1,0,0,1],[0,87,2,0,0,1],[0,87,3,0,0,1],[0,87,4,0,0,1],[0,87,5,0,0,1],[0,87,6,0,0,1],[0,87,7,0,0,1],[0,87,8,0,0,1],[0,87,9,0,0,1],[0,599,1,0,0,1],[0,599,2,0,0,1],[0,599,3,0,0,1],[0,599,4,0,0,1],[0,599,5,0,0,1],[0,599,6,0,0,1],[0,599,7,0,0,1],[0,599,8,0,0,1],[0,599,9,0,0,1],[0,88,1,0,0,1],[0,88,2,0,0,1],[0,88,3,0,0,1],[0,88,4,0,0,1],[0,88,5,0,0,1],[0,88,6,0,0,1],[0,88,7,0,0,1],[0,88,8,0,0,1],[0,88,9,0,0,1],[0,4184,1,0,0,1],[0,4184,2,0,0,1],[0,4184,3,0,0,1],[0,4184,4,0,0,1],[0,4184,5,0,0,1],[0,4184,6,0,0,1],[0,4184,7,0,0,1],[0,4184,8,0,0,1],[0,4184,9,0,0,1],[0,89,1,0,0,1],[0,89,2,0,0,1],[0,89,3,0,0,1],[0,89,4,0,0,1],[0,89,5,0,0,1],[0,89,6,0,0,1],[0,89,7,0,0,1],[0,89,8,0,0,1],[0,89,9,0,0,1],[0,601,1,0,0,1],[0,601,2,0,0,1],[0,601,3,0,0,1],[0,601,4,0,0,1],[0,601,5,0,0,1],[0,601,6,0,0,1],[0,601,7,0,0,1],[0,601,8,0,0,1],[0,601,9,0,0,1],[0,90,1,0,0,1],[0,90,2,0,0,1],[0,90,3,0,0,1],[0,90,4,0,0,1],[0,90,5,0,0,1],[0,90,6,0,0,1],[0,90,7,0,0,1],[0,90,8,0,0,1],[0,90,9,0,0,1],[0,1114,1,0,0,1],[0,1114,2,0,0,1],[0,1114,3,0,0,1],[0,1114,4,0,0,1],[0,1114,5,0,0,1],[0,1114,6,0,0,1],[0,1114,7,0,0,1],[0,1114,8,0,0,1],[0,1114,9,0,0,1],[0,91,1,0,0,1],[0,91,2,0,0,1],[0,91,3,0,0,1],[0,91,4,0,0,1],[0,91,5,0,0,1],[0,91,6,0,0,1],[0,91,7,0,0,1],[0,91,8,0,0,1],[0,91,9,0,0,1],[0,603,1,0,0,1],[0,603,2,0,0,1],[0,603,3,0,0,1],[0,603,4,0,0,1],[0,603,5,0,0,1],[0,603,6,0,0,1],[0,603,7,0,0,1],[0,603,8,0,0,1],[0,603,9,0,0,1],[0,92,1,0,0,1],[0,92,2,0,0,1],[0,92,3,0,0,1],[0,92,4,0,0,1],[0,92,5,0,0,1],[0,92,6,0,0,1],[0,92,7,0,0,1],[0,92,8,0,0,1],[0,92,9,0,0,1],[0,2140,1,0,0,1],[0,2140,2,0,0,1],[0,2140,3,0,0,1],[0,2140,4,0,0,1],[0,2140,5,0,0,1],[0,2140,6,0,0,1],[0,2140,7,0,0,1],[0,2140,8,0,0,1],[0,2140,9,0,0,1],[0,93,1,0,0,1],[0,93,2,0,0,1],[0,93,3,0,0,1],[0,93,4,0,0,1],[0,93,5,0,0,1],[0,93,6,0,0,1],[0,93,7,0,0,1],[0,93,8,0,0,1],[0,93,9,0,0,1],[0,605,1,0,0,1],[0,605,2,0,0,1],[0,605,3,0,0,1],[0,605,4,0,0,1],[0,605,5,0,0,1],[0,605,6,0,0,1],[0,605,7,0,0,1],[0,605,8,0,0,1],[0,605,9,0,0,1],[0,94,1,0,0,1],[0,94,2,0,0,1],[0,94,3,0,0,1],[0,94,4,0,0,1],[0,94,5,0,0,1],[0,94,6,0,0,1],[0,94,7,0,0,1],[0,94,8,0,0,1],[0,94,9,0,0,1],[0,1118,1,0,0,1],[0,1118,2,0,0,1],[0,1118,3,0,0,1],[0,1118,4,0,0,1],[0,1118,5,0,0,1],[0,1118,6,0,0,1],[0,1118,7,0,0,1],[0,1118,8,0,0,1],[0,1118,9,0,0,1],[0,95,1,0,0,1],[0,95,2,0,0,1],[0,95,3,0,0,1],[0,95,4,0,0,1],[0,95,5,0,0,1],[0,95,6,0,0,1],[0,95,7,0,0,1],[0,95,8,0,0,1],[0,95,9,0,0,1],[0,607,1,0,0,1],[0,607,2,0,0,1],[0,607,3,0,0,1],[0,607,4,0,0,1],[0,607,5,0,0,1],[0,607,6,0,0,1],[0,607,7,0,0,1],[0,607,8,0,0,1],[0,607,9,0,0,1],[0,96,1,0,0,1],[0,96,2,0,0,1],[0,96,3,0,0,1],[0,96,4,0,0,1],[0,96,5,0,0,1],[0,96,6,0,0,1],[0,96,7,0,0,1],[0,96,8,0,0,1],[0,96,9,0,0,1],[0,16480,1,0,0,1],[0,16480,2,0,0,1],[0,16480,3,0,0,1],[0,16480,4,0,0,1],[0,16480,5,0,0,1],[0,16480,6,0,0,1],[0,16480,7,0,0,1],[0,16480,8,0,0,1],[0,16480,9,0,0,1],[0,97,1,0,0,1],[0,97,2,0,0,1],[0,97,3,0,0,1],[0,97,4,0,0,1],[0,97,5,0,0,1],[0,97,6,0,0,1],[0,97,7,0,0,1],[0,97,8,0,0,1],[0,97,9,0,0,1],[0,609,1,0,0,1],[0,609,2,0,0,1],[0,609,3,0,0,1],[0,609,4,0,0,1],[0,609,5,0,0,1],[0,609,6,0,0,1],[0,609,7,0,0,1],[0,609,8,0,0,1],[0,609,9,0,0,1],[0,98,1,0,0,1],[0,98,2,0,0,1],[0,98,3,0,0,1],[0,98,4,0,0,1],[0,98,5,0,0,1],[0,98,6,0,0,1],[0,98,7,0,0,1],[0,98,8,0,0,1],[0,98,9,0,0,1],[0,1122,1,0,0,1],[0,1122,2,0,0,1],[0,1122,3,0,0,1],[0,1122,4,0,0,1],[0,1122,5,0,0,1],[0,1122,6,0,0,1],[0,1122,7,0,0,1],[0,1122,8,0,0,1],[0,1122,9,0,0,1],[0,99,1,0,0,1],[0,99,2,0,0,1],[0,99,3,0,0,1],[0,99,4,0,0,1],[0,99,5,0,0,1],[0,99,6,0,0,1],[0,99,7,0,0,1],[0,99,8,0,0,1],[0,99,9,0,0,1],[0,611,1,0,0,1],[0,611,2,0,0,1],[0,611,3,0,0,1],[0,611,4,0,0,1],[0,611,5,0,0,1],[0,611,6,0,0,1],[0,611,7,0,0,1],[0,611,8,0,0,1],[0,611,9,0,0,1],[0,100,1,0,0,1],[0,100,2,0,0,1],[0,100,3,0,0,1],[0,100,4,0,0,1],[0,100,5,0,0,1],[0,100,6,0,0,1],[0,100,7,0,0,1],[0,100,8,0,0,1],[0,100,9,0,0,1],[0,2148,1,0,0,1],[0,2148,2,0,0,1],[0,2148,3,0,0,1],[0,2148,4,0,0,1],[0,2148,5,0,0,1],[0,2148,6,0,0,1],[0,2148,7,0,0,1],[0,2148,8,0,0,1],[0,2148,9,0,0,1],[0,101,1,0,0,1],[0,101,2,0,0,1],[0,101,3,0,0,1],[0,101,4,0,0,1],[0,101,5,0,0,1],[0,101,6,0,0,1],[0,101,7,0,0,1],[0,101,8,0,0,1],[0,101,9,0,0,1],[0,613,1,0,0,1],[0,613,2,0,0,1],[0,613,3,0,0,1],[0,613,4,0,0,1],[0,613,5,0,0,1],[0,613,6,0,0,1],[0,613,7,0,0,1],[0,613,8,0,0,1],[0,613,9,0,0,1],[0,102,1,0,0,1],[0,102,2,0,0,1],[0,102,3,0,0,1],[0,102,4,0,0,1],[0,102,5,0,0,1],[0,102,6,0,0,1],[0,102,7,0,0,1],[0,102,8,0,0,1],[0,102,9,0,0,1],[0,1126,1,0,0,1],[0,1126,2,0,0,1],[0,1126,3,0,0,1],[0,1126,4,0,0,1],[0,1126,5,0,0,1],[0,1126,6,0,0,1],[0,1126,7,0,0,1],[0,1126,8,0,0,1],[0,1126,9,0,0,1],[0,103,1,0,0,1],[0,103,2,0,0,1],[0,103,3,0,0,1],[0,103,4,0,0,1],[0,103,5,0,0,1],[0,103,6,0,0,1],[0,103,7,0,0,1],[0,103,8,0,0,1],[0,103,9,0,0,1],[0,615,1,0,0,1],[0,615,2,0,0,1],[0,615,3,0,0,1],[0,615,4,0,0,1],[0,615,5,0,0,1],[0,615,6,0,0,1],[0,615,7,0,0,1],[0,615,8,0,0,1],[0,615,9,0,0,1],[0,104,1,0,0,1],[0,104,2,0,0,1],[0,104,3,0,0,1],[0,104,4,0,0,1],[0,104,5,0,0,1],[0,104,6,0,0,1],[0,104,7,0,0,1],[0,104,8,0,0,1],[0,104,9,0,0,1],[0,4200,1,0,0,1],[0,4200,2,0,0,1],[0,4200,3,0,0,1],[0,4200,4,0,0,1],[0,4200,5,0,0,1],[0,4200,6,0,0,1],[0,4200,7,0,0,1],[0,4200,8,0,0,1],[0,4200,9,0,0,1],[0,105,1,0,0,1],[0,105,2,0,0,1],[0,105,3,0,0,1],[0,105,4,0,0,1],[0,105,5,0,0,1],[0,105,6,0,0,1],[0,105,7,0,0,1],[0,105,8,0,0,1],[0,105,9,0,0,1],[0,617,1,0,0,1],[0,617,2,0,0,1],[0,617,3,0,0,1],[0,617,4,0,0,1],[0,617,5,0,0,1],[0,617,6,0,0,1],[0,617,7,0,0,1],[0,617,8,0,0,1],[0,617,9,0,0,1],[0,106,1,0,0,1],[0,106,2,0,0,1],[0,106,3,0,0,1],[0,106,4,0,0,1],[0,106,5,0,0,1],[0,106,6,0,0,1],[0,106,7,0,0,1],[0,106,8,0,0,1],[0,106,9,0,0,1],[0,1130,1,0,0,1],[0,1130,2,0,0,1],[0,1130,3,0,0,1],[0,1130,4,0,0,1],[0,1130,5,0,0,1],[0,1130,6,0,0,1],[0,1130,7,0,0,1],[0,1130,8,0,0,1],[0,1130,9,0,0,1],[0,107,1,0,0,1],[0,107,2,0,0,1],[0,107,3,0,0,1],[0,107,4,0,0,1],[0,107,5,0,0,1],[0,107,6,0,0,1],[0,107,7,0,0,1],[0,107,8,0,0,1],[0,107,9,0,0,1],[0,619,1,0,0,1],[0,619,2,0,0,1],[0,619,3,0,0,1],[0,619,4,0,0,1],[0,619,5,0,0,1],[0,619,6,0,0,1],[0,619,7,0,0,1],[0,619,8,0,0,1],[0,619,9,0,0,1],[0,108,1,0,0,1],[0,108,2,0,0,1],[0,108,3,0,0,1],[0,108,4,0,0,1],[0,108,5,0,0,1],[0,108,6,0,0,1],[0,108,7,0,0,1],[0,108,8,0,0,1],[0,108,9,0,0,1],[0,2156,1,0,0,1],[0,2156,2,0,0,1],[0,2156,3,0,0,1],[0,2156,4,0,0,1],[0,2156,5,0,0,1],[0,2156,6,0,0,1],[0,2156,7,0,0,1],[0,2156,8,0,0,1],[0,2156,9,0,0,1],[0,109,1,0,0,1],[0,109,2,0,0,1],[0,109,3,0,0,1],[0,109,4,0,0,1],[0,109,5,0,0,1],[0,109,6,0,0,1],[0,109,7,0,0,1],[0,109,8,0,0,1],[0,109,9,0,0,1],[0,621,1,0,0,1],[0,621,2,0,0,1],[0,621,3,0,0,1],[0,621,4,0,0,1],[0,621,5,0,0,1],[0,621,6,0,0,1],[0,621,7,0,0,1],[0,621,8,0,0,1],[0,621,9,0,0,1],[0,110,1,0,0,1],[0,110,2,0,0,1],[0,110,3,0,0,1],[0,110,4,0,0,1],[0,110,5,0,0,1],[0,110,6,0,0,1],[0,110,7,0,0,1],[0,110,8,0,0,1],[0,110,9,0,0,1],[0,1134,1,0,0,1],[0,1134,2,0,0,1],[0,1134,3,0,0,1],[0,1134,4,0,0,1],[0,1134,5,0,0,1],[0,1134,6,0,0,1],[0,1134,7,0,0,1],[0,1134,8,0,0,1],[0,1134,9,0,0,1],[0,111,1,0,0,1],[0,111,2,0,0,1],[0,111,3,0,0,1],[0,111,4,0,0,1],[0,111,5,0,0,1],[0,111,6,0,0,1],[0,111,7,0,0,1],[0,111,8,0,0,1],[0,111,9,0,0,1],[0,623,1,0,0,1],[0,623,2,0,0,1],[0,623,3,0,0,1],[0,623,4,0,0,1],[0,623,5,0,0,1],[0,623,6,0,0,1],[0,623,7,0,0,1],[0,623,8,0,0,1],[0,623,9,0,0,1],[0,112,1,0,0,1],[0,112,2,0,0,1],[0,112,3,0,0,1],[0,112,4,0,0,1],[0,112,5,0,0,1],[0,112,6,0,0,1],[0,112,7,0,0,1],[0,112,8,0,0,1],[0,112,9,0,0,1],[0,8304,1,0,0,1],[0,8304,2,0,0,1],[0,8304,3,0,0,1],[0,8304,4,0,0,1],[0,8304,5,0,0,1],[0,8304,6,0,0,1],[0,8304,7,0,0,1],[0,8304,8,0,0,1],[0,8304,9,0,0,1],[0,113,1,0,0,1],[0,113,2,0,0,1],[0,113,3,0,0,1],[0,113,4,0,0,1],[0,113,5,0,0,1],[0,113,6,0,0,1],[0,113,7,0,0,1],[0,113,8,0,0,1],[0,113,9,0,0,1],[0,625,1,0,0,1],[0,625,2,0,0,1],[0,625,3,0,0,1],[0,625,4,0,0,1],[0,625,5,0,0,1],[0,625,6,0,0,1],[0,625,7,0,0,1],[0,625,8,0,0,1],[0,625,9,0,0,1],[0,114,1,0,0,1],[0,114,2,0,0,1],[0,114,3,0,0,1],[0,114,4,0,0,1],[0,114,5,0,0,1],[0,114,6,0,0,1],[0,114,7,0,0,1],[0,114,8,0,0,1],[0,114,9,0,0,1],[0,1138,1,0,0,1],[0,1138,2,0,0,1],[0,1138,3,0,0,1],[0,1138,4,0,0,1],[0,1138,5,0,0,1],[0,1138,6,0,0,1],[0,1138,7,0,0,1],[0,1138,8,0,0,1],[0,1138,9,0,0,1],[0,115,1,0,0,1],[0,115,2,0,0,1],[0,115,3,0,0,1],[0,115,4,0,0,1],[0,115,5,0,0,1],[0,115,6,0,0,1],[0,115,7,0,0,1],[0,115,8,0,0,1],[0,115,9,0,0,1],[0,627,1,0,0,1],[0,627,2,0,0,1],[0,627,3,0,0,1],[0,627,4,0,0,1],[0,627,5,0,0,1],[0,627,6,0,0,1],[0,627,7,0,0,1],[0,627,8,0,0,1],[0,627,9,0,0,1],[0,116,1,0,0,1],[0,116,2,0,0,1],[0,116,3,0,0,1],[0,116,4,0,0,1],[0,116,5,0,0,1],[0,116,6,0,0,1],[0,116,7,0,0,1],[0,116,8,0,0,1],[0,116,9,0,0,1],[0,2164,1,0,0,1],[0,2164,2,0,0,1],[0,2164,3,0,0,1],[0,2164,4,0,0,1],[0,2164,5,0,0,1],[0,2164,6,0,0,1],[0,2164,7,0,0,1],[0,2164,8,0,0,1],[0,2164,9,0,0,1],[0,117,1,0,0,1],[0,117,2,0,0,1],[0,117,3,0,0,1],[0,117,4,0,0,1],[0,117,5,0,0,1],[0,117,6,0,0,1],[0,117,7,0,0,1],[0,117,8,0,0,1],[0,117,9,0,0,1],[0,629,1,0,0,1],[0,629,2,0,0,1],[0,629,3,0,0,1],[0,629,4,0,0,1],[0,629,5,0,0,1],[0,629,6,0,0,1],[0,629,7,0,0,1],[0,629,8,0,0,1],[0,629,9,0,0,1],[0,118,1,0,0,1],[0,118,2,0,0,1],[0,118,3,0,0,1],[0,118,4,0,0,1],[0,118,5,0,0,1],[0,118,6,0,0,1],[0,118,7,0,0,1],[0,118,8,0,0,1],[0,118,9,0,0,1],[0,1142,1,0,0,1],[0,1142,2,0,0,1],[0,1142,3,0,0,1],[0,1142,4,0,0,1],[0,1142,5,0,0,1],[0,1142,6,0,0,1],[0,1142,7,0,0,1],[0,1142,8,0,0,1],[0,1142,9,0,0,1],[0,119,1,0,0,1],[0,119,2,0,0,1],[0,119,3,0,0,1],[0,119,4,0,0,1],[0,119,5,0,0,1],[0,119,6,0,0,1],[0,119,7,0,0,1],[0,119,8,0,0,1],[0,119,9,0,0,1],[0,631,1,0,0,1],[0,631,2,0,0,1],[0,631,3,0,0,1],[0,631,4,0,0,1],[0,631,5,0,0,1],[0,631,6,0,0,1],[0,631,7,0,0,1],[0,631,8,0,0,1],[0,631,9,0,0,1],[0,120,1,0,0,1],[0,120,2,0,0,1],[0,120,3,0,0,1],[0,120,4,0,0,1],[0,120,5,0,0,1],[0,120,6,0,0,1],[0,120,7,0,0,1],[0,120,8,0,0,1],[0,120,9,0,0,1],[0,4216,1,0,0,1],[0,4216,2,0,0,1],[0,4216,3,0,0,1],[0,4216,4,0,0,1],[0,4216,5,0,0,1],[0,4216,6,0,0,1],[0,4216,7,0,0,1],[0,4216,8,0,0,1],[0,4216,9,0,0,1],[0,121,1,0,0,1],[0,121,2,0,0,1],[0,121,3,0,0,1],[0,121,4,0,0,1],[0,121,5,0,0,1],[0,121,6,0,0,1],[0,121,7,0,0,1],[0,121,8,0,0,1],[0,121,9,0,0,1],[0,633,1,0,0,1],[0,633,2,0,0,1],[0,633,3,0,0,1],[0,633,4,0,0,1],[0,633,5,0,0,1],[0,633,6,0,0,1],[0,633,7,0,0,1],[0,633,8,0,0,1],[0,633,9,0,0,1],[0,122,1,0,0,1],[0,122,2,0,0,1],[0,122,3,0,0,1],[0,122,4,0,0,1],[0,122,5,0,0,1],[0,122,6,0,0,1],[0,122,7,0,0,1],[0,122,8,0,0,1],[0,122,9,0,0,1],[0,1146,1,0,0,1],[0,1146,2,0,0,1],[0,1146,3,0,0,1],[0,1146,4,0,0,1],[0,1146,5,0,0,1],[0,1146,6,0,0,1],[0,1146,7,0,0,1],[0,1146,8,0,0,1],[0,1146,9,0,0,1],[0,123,1,0,0,1],[0,123,2,0,0,1],[0,123,3,0,0,1],[0,123,4,0,0,1],[0,123,5,0,0,1],[0,123,6,0,0,1],[0,123,7,0,0,1],[0,123,8,0,0,1],[0,123,9,0,0,1],[0,635,1,0,0,1],[0,635,2,0,0,1],[0,635,3,0,0,1],[0,635,4,0,0,1],[0,635,5,0,0,1],[0,635,6,0,0,1],[0,635,7,0,0,1],[0,635,8,0,0,1],[0,635,9,0,0,1],[0,124,1,0,0,1],[0,124,2,0,0,1],[0,124,3,0,0,1],[0,124,4,0,0,1],[0,124,5,0,0,1],[0,124,6,0,0,1],[0,124,7,0,0,1],[0,124,8,0,0,1],[0,124,9,0,0,1],[0,2172,1,0,0,1],[0,2172,2,0,0,1],[0,2172,3,0,0,1],[0,2172,4,0,0,1],[0,2172,5,0,0,1],[0,2172,6,0,0,1],[0,2172,7,0,0,1],[0,2172,8,0,0,1],[0,2172,9,0,0,1],[0,125,1,0,0,1],[0,125,2,0,0,1],[0,125,3,0,0,1],[0,125,4,0,0,1],[0,125,5,0,0,1],[0,125,6,0,0,1],[0,125,7,0,0,1],[0,125,8,0,0,1],[0,125,9,0,0,1],[0,637,1,0,0,1],[0,637,2,0,0,1],[0,637,3,0,0,1],[0,637,4,0,0,1],[0,637,5,0,0,1],[0,637,6,0,0,1],[0,637,7,0,0,1],[0,637,8,0,0,1],[0,637,9,0,0,1],[0,126,1,0,0,1],[0,126,2,0,0,1],[0,126,3,0,0,1],[0,126,4,0,0,1],[0,126,5,0,0,1],[0,126,6,0,0,1],[0,126,7,0,0,1],[0,126,8,0,0,1],[0,126,9,0,0,1],[0,1150,1,0,0,1],[0,1150,2,0,0,1],[0,1150,3,0,0,1],[0,1150,4,0,0,1],[0,1150,5,0,0,1],[0,1150,6,0,0,1],[0,1150,7,0,0,1],[0,1150,8,0,0,1],[0,1150,9,0,0,1],[0,127,1,0,0,1],[0,127,2,0,0,1],[0,127,3,0,0,1],[0,127,4,0,0,1],[0,127,5,0,0,1],[0,127,6,0,0,1],[0,127,7,0,0,1],[0,127,8,0,0,1],[0,127,9,0,0,1],[0,639,1,0,0,1],[0,639,2,0,0,1],[0,639,3,0,0,1],[0,639,4,0,0,1],[0,639,5,0,0,1],[0,639,6,0,0,1],[0,639,7,0,0,1],[0,639,8,0,0,1],[0,639,9,0,0,1],[0,128,1,0,0,1],[0,128,2,0,0,1],[0,128,3,0,0,1],[0,128,4,0,0,1],[0,128,5,0,0,1],[0,128,6,0,0,1],[0,128,7,0,0,1],[0,128,8,0,0,1],[0,128,9,0,0,1],[0,65664,1,0,0,1],[0,65664,2,0,0,1],[0,65664,3,0,0,1],[0,65664,4,0,0,1],[0,65664,5,0,0,1],[0,65664,6,0,0,1],[0,65664,7,0,0,1],[0,65664,8,0,0,1],[0,65664,9,0,0,1],[0,129,1,0,0,1],[0,129,2,0,0,1],[0,129,3,0,0,1],[0,129,4,0,0,1],[0,129,5,0,0,1],[0,129,6,0,0,1],[0,129,7,0,0,1],[0,129,8,0,0,1],[0,129,9,0,0,1],[0,641,1,0,0,1],[0,641,2,0,0,1],[0,641,3,0,0,1],[0,641,4,0,0,1],[0,641,5,0,0,1],[0,641,6,0,0,1],[0,641,7,0,0,1],[0,641,8,0,0,1],[0,641,9,0,0,1],[0,130,1,0,0,1],[0,130,2,0,0,1],[0,130,3,0,0,1],[0,130,4,0,0,1],[0,130,5,0,0,1],[0,130,6,0,0,1],[0,130,7,0,0,1],[0,130,8,0,0,1],[0,130,9,0,0,1],[0,1154,1,0,0,1],[0,1154,2,0,0,1],[0,1154,3,0,0,1],[0,1154,4,0,0,1],[0,1154,5,0,0,1],[0,1154,6,0,0,1],[0,1154,7,0,0,1],[0,1154,8,0,0,1],[0,1154,9,0,0,1],[0,131,1,0,0,1],[0,131,2,0,0,1],[0,131,3,0,0,1],[0,131,4,0,0,1],[0,131,5,0,0,1],[0,131,6,0,0,1],[0,131,7,0,0,1],[0,131,8,0,0,1],[0,131,9,0,0,1],[0,643,1,0,0,1],[0,643,2,0,0,1],[0,643,3,0,0,1],[0,643,4,0,0,1],[0,643,5,0,0,1],[0,643,6,0,0,1],[0,643,7,0,0,1],[0,643,8,0,0,1],[0,643,9,0,0,1],[0,132,1,0,0,1],[0,132,2,0,0,1],[0,132,3,0,0,1],[0,132,4,0,0,1],[0,132,5,0,0,1],[0,132,6,0,0,1],[0,132,7,0,0,1],[0,132,8,0,0,1],[0,132,9,0,0,1],[0,2180,1,0,0,1],[0,2180,2,0,0,1],[0,2180,3,0,0,1],[0,2180,4,0,0,1],[0,2180,5,0,0,1],[0,2180,6,0,0,1],[0,2180,7,0,0,1],[0,2180,8,0,0,1],[0,2180,9,0,0,1],[0,133,1,0,0,1],[0,133,2,0,0,1],[0,133,3,0,0,1],[0,133,4,0,0,1],[0,133,5,0,0,1],[0,133,6,0,0,1],[0,133,7,0,0,1],[0,133,8,0,0,1],[0,133,9,0,0,1],[0,645,1,0,0,1],[0,645,2,0,0,1],[0,645,3,0,0,1],[0,645,4,0,0,1],[0,645,5,0,0,1],[0,645,6,0,0,1],[0,645,7,0,0,1],[0,645,8,0,0,1],[0,645,9,0,0,1],[0,134,1,0,0,1],[0,134,2,0,0,1],[0,134,3,0,0,1],[0,134,4,0,0,1],[0,134,5,0,0,1],[0,134,6,0,0,1],[0,134,7,0,0,1],[0,134,8,0,0,1],[0,134,9,0,0,1],[0,1158,1,0,0,1],[0,1158,2,0,0,1],[0,1158,3,0,0,1],[0,1158,4,0,0,1],[0,1158,5,0,0,1],[0,1158,6,0,0,1],[0,1158,7,0,0,1],[0,1158,8,0,0,1],[0,1158,9,0,0,1],[0,135,1,0,0,1],[0,135,2,0,0,1],[0,135,3,0,0,1],[0,135,4,0,0,1],[0,135,5,0,0,1],[0,135,6,0,0,1],[0,135,7,0,0,1],[0,135,8,0,0,1],[0,135,9,0,0,1],[0,647,1,0,0,1],[0,647,2,0,0,1],[0,647,3,0,0,1],[0,647,4,0,0,1],[0,647,5,0,0,1],[0,647,6,0,0,1],[0,647,7,0,0,1],[0,647,8,0,0,1],[0,647,9,0,0,1],[0,136,1,0,0,1],[0,136,2,0,0,1],[0,136,3,0,0,1],[0,136,4,0,0,1],[0,136,5,0,0,1],[0,136,6,0,0,1],[0,136,7,0,0,1],[0,136,8,0,0,1],[0,136,9,0,0,1],[0,4232,1,0,0,1],[0,4232,2,0,0,1],[0,4232,3,0,0,1],[0,4232,4,0,0,1],[0,4232,5,0,0,1],[0,4232,6,0,0,1],[0,4232,7,0,0,1],[0,4232,8,0,0,1],[0,4232,9,0,0,1],[0,137,1,0,0,1],[0,137,2,0,0,1],[0,137,3,0,0,1],[0,137,4,0,0,1],[0,137,5,0,0,1],[0,137,6,0,0,1],[0,137,7,0,0,1],[0,137,8,0,0,1],[0,137,9,0,0,1],[0,649,1,0,0,1],[0,649,2,0,0,1],[0,649,3,0,0,1],[0,649,4,0,0,1],[0,649,5,0,0,1],[0,649,6,0,0,1],[0,649,7,0,0,1],[0,649,8,0,0,1],[0,649,9,0,0,1],[0,138,1,0,0,1],[0,138,2,0,0,1],[0,138,3,0,0,1],[0,138,4,0,0,1],[0,138,5,0,0,1],[0,138,6,0,0,1],[0,138,7,0,0,1],[0,138,8,0,0,1],[0,138,9,0,0,1],[0,1162,1,0,0,1],[0,1162,2,0,0,1],[0,1162,3,0,0,1],[0,1162,4,0,0,1],[0,1162,5,0,0,1],[0,1162,6,0,0,1],[0,1162,7,0,0,1],[0,1162,8,0,0,1],[0,1162,9,0,0,1],[0,139,1,0,0,1],[0,139,2,0,0,1],[0,139,3,0,0,1],[0,139,4,0,0,1],[0,139,5,0,0,1],[0,139,6,0,0,1],[0,139,7,0,0,1],[0,139,8,0,0,1],[0,139,9,0,0,1],[0,651,1,0,0,1],[0,651,2,0,0,1],[0,651,3,0,0,1],[0,651,4,0,0,1],[0,651,5,0,0,1],[0,651,6,0,0,1],[0,651,7,0,0,1],[0,651,8,0,0,1],[0,651,9,0,0,1],[0,140,1,0,0,1],[0,140,2,0,0,1],[0,140,3,0,0,1],[0,140,4,0,0,1],[0,140,5,0,0,1],[0,140,6,0,0,1],[0,140,7,0,0,1],[0,140,8,0,0,1],[0,140,9,0,0,1],[0,2188,1,0,0,1],[0,2188,2,0,0,1],[0,2188,3,0,0,1],[0,2188,4,0,0,1],[0,2188,5,0,0,1],[0,2188,6,0,0,1],[0,2188,7,0,0,1],[0,2188,8,0,0,1],[0,2188,9,0,0,1],[0,141,1,0,0,1],[0,141,2,0,0,1],[0,141,3,0,0,1],[0,141,4,0,0,1],[0,141,5,0,0,1],[0,141,6,0,0,1],[0,141,7,0,0,1],[0,141,8,0,0,1],[0,141,9,0,0,1],[0,653,1,0,0,1],[0,653,2,0,0,1],[0,653,3,0,0,1],[0,653,4,0,0,1],[0,653,5,0,0,1],[0,653,6,0,0,1],[0,653,7,0,0,1],[0,653,8,0,0,1],[0,653,9,0,0,1],[0,142,1,0,0,1],[0,142,2,0,0,1],[0,142,3,0,0,1],[0,142,4,0,0,1],[0,142,5,0,0,1],[0,142,6,0,0,1],[0,142,7,0,0,1],[0,142,8,0,0,1],[0,142,9,0,0,1],[0,1166,1,0,0,1],[0,1166,2,0,0,1],[0,1166,3,0,0,1],[0,1166,4,0,0,1],[0,1166,5,0,0,1],[0,1166,6,0,0,1],[0,1166,7,0,0,1],[0,1166,8,0,0,1],[0,1166,9,0,0,1],[0,143,1,0,0,1],[0,143,2,0,0,1],[0,143,3,0,0,1],[0,143,4,0,0,1],[0,143,5,0,0,1],[0,143,6,0,0,1],[0,143,7,0,0,1],[0,143,8,0,0,1],[0,143,9,0,0,1],[0,655,1,0,0,1],[0,655,2,0,0,1],[0,655,3,0,0,1],[0,655,4,0,0,1],[0,655,5,0,0,1],[0,655,6,0,0,1],[0,655,7,0,0,1],[0,655,8,0,0,1],[0,655,9,0,0,1],[0,144,1,0,0,1],[0,144,2,0,0,1],[0,144,3,0,0,1],[0,144,4,0,0,1],[0,144,5,0,0,1],[0,144,6,0,0,1],[0,144,7,0,0,1],[0,144,8,0,0,1],[0,144,9,0,0,1],[0,8336,1,0,0,1],[0,8336,2,0,0,1],[0,8336,3,0,0,1],[0,8336,4,0,0,1],[0,8336,5,0,0,1],[0,8336,6,0,0,1],[0,8336,7,0,0,1],[0,8336,8,0,0,1],[0,8336,9,0,0,1],[0,145,1,0,0,1],[0,145,2,0,0,1],[0,145,3,0,0,1],[0,145,4,0,0,1],[0,145,5,0,0,1],[0,145,6,0,0,1],[0,145,7,0,0,1],[0,145,8,0,0,1],[0,145,9,0,0,1],[0,657,1,0,0,1],[0,657,2,0,0,1],[0,657,3,0,0,1],[0,657,4,0,0,1],[0,657,5,0,0,1],[0,657,6,0,0,1],[0,657,7,0,0,1],[0,657,8,0,0,1],[0,657,9,0,0,1],[0,146,1,0,0,1],[0,146,2,0,0,1],[0,146,3,0,0,1],[0,146,4,0,0,1],[0,146,5,0,0,1],[0,146,6,0,0,1],[0,146,7,0,0,1],[0,146,8,0,0,1],[0,146,9,0,0,1],[0,1170,1,0,0,1],[0,1170,2,0,0,1],[0,1170,3,0,0,1],[0,1170,4,0,0,1],[0,1170,5,0,0,1],[0,1170,6,0,0,1],[0,1170,7,0,0,1],[0,1170,8,0,0,1],[0,1170,9,0,0,1],[0,147,1,0,0,1],[0,147,2,0,0,1],[0,147,3,0,0,1],[0,147,4,0,0,1],[0,147,5,0,0,1],[0,147,6,0,0,1],[0,147,7,0,0,1],[0,147,8,0,0,1],[0,147,9,0,0,1],[0,659,1,0,0,1],[0,659,2,0,0,1],[0,659,3,0,0,1],[0,659,4,0,0,1],[0,659,5,0,0,1],[0,659,6,0,0,1],[0,659,7,0,0,1],[0,659,8,0,0,1],[0,659,9,0,0,1],[0,148,1,0,0,1],[0,148,2,0,0,1],[0,148,3,0,0,1],[0,148,4,0,0,1],[0,148,5,0,0,1],[0,148,6,0,0,1],[0,148,7,0,0,1],[0,148,8,0,0,1],[0,148,9,0,0,1],[0,2196,1,0,0,1],[0,2196,2,0,0,1],[0,2196,3,0,0,1],[0,2196,4,0,0,1],[0,2196,5,0,0,1],[0,2196,6,0,0,1],[0,2196,7,0,0,1],[0,2196,8,0,0,1],[0,2196,9,0,0,1],[0,149,1,0,0,1],[0,149,2,0,0,1],[0,149,3,0,0,1],[0,149,4,0,0,1],[0,149,5,0,0,1],[0,149,6,0,0,1],[0,149,7,0,0,1],[0,149,8,0,0,1],[0,149,9,0,0,1],[0,661,1,0,0,1],[0,661,2,0,0,1],[0,661,3,0,0,1],[0,661,4,0,0,1],[0,661,5,0,0,1],[0,661,6,0,0,1],[0,661,7,0,0,1],[0,661,8,0,0,1],[0,661,9,0,0,1],[0,150,1,0,0,1],[0,150,2,0,0,1],[0,150,3,0,0,1],[0,150,4,0,0,1],[0,150,5,0,0,1],[0,150,6,0,0,1],[0,150,7,0,0,1],[0,150,8,0,0,1],[0,150,9,0,0,1],[0,1174,1,0,0,1],[0,1174,2,0,0,1],[0,1174,3,0,0,1],[0,1174,4,0,0,1],[0,1174,5,0,0,1],[0,1174,6,0,0,1],[0,1174,7,0,0,1],[0,1174,8,0,0,1],[0,1174,9,0,0,1],[0,151,1,0,0,1],[0,151,2,0,0,1],[0,151,3,0,0,1],[0,151,4,0,0,1],[0,151,5,0,0,1],[0,151,6,0,0,1],[0,151,7,0,0,1],[0,151,8,0,0,1],[0,151,9,0,0,1],[0,663,1,0,0,1],[0,663,2,0,0,1],[0,663,3,0,0,1],[0,663,4,0,0,1],[0,663,5,0,0,1],[0,663,6,0,0,1],[0,663,7,0,0,1],[0,663,8,0,0,1],[0,663,9,0,0,1],[0,152,1,0,0,1],[0,152,2,0,0,1],[0,152,3,0,0,1],[0,152,4,0,0,1],[0,152,5,0,0,1],[0,152,6,0,0,1],[0,152,7,0,0,1],[0,152,8,0,0,1],[0,152,9,0,0,1],[0,4248,1,0,0,1],[0,4248,2,0,0,1],[0,4248,3,0,0,1],[0,4248,4,0,0,1],[0,4248,5,0,0,1],[0,4248,6,0,0,1],[0,4248,7,0,0,1],[0,4248,8,0,0,1],[0,4248,9,0,0,1],[0,153,1,0,0,1],[0,153,2,0,0,1],[0,153,3,0,0,1],[0,153,4,0,0,1],[0,153,5,0,0,1],[0,153,6,0,0,1],[0,153,7,0,0,1],[0,153,8,0,0,1],[0,153,9,0,0,1],[0,665,1,0,0,1],[0,665,2,0,0,1],[0,665,3,0,0,1],[0,665,4,0,0,1],[0,665,5,0,0,1],[0,665,6,0,0,1],[0,665,7,0,0,1],[0,665,8,0,0,1],[0,665,9,0,0,1],[0,154,1,0,0,1],[0,154,2,0,0,1],[0,154,3,0,0,1],[0,154,4,0,0,1],[0,154,5,0,0,1],[0,154,6,0,0,1],[0,154,7,0,0,1],[0,154,8,0,0,1],[0,154,9,0,0,1],[0,1178,1,0,0,1],[0,1178,2,0,0,1],[0,1178,3,0,0,1],[0,1178,4,0,0,1],[0,1178,5,0,0,1],[0,1178,6,0,0,1],[0,1178,7,0,0,1],[0,1178,8,0,0,1],[0,1178,9,0,0,1],[0,155,1,0,0,1],[0,155,2,0,0,1],[0,155,3,0,0,1],[0,155,4,0,0,1],[0,155,5,0,0,1],[0,155,6,0,0,1],[0,155,7,0,0,1],[0,155,8,0,0,1],[0,155,9,0,0,1],[0,667,1,0,0,1],[0,667,2,0,0,1],[0,667,3,0,0,1],[0,667,4,0,0,1],[0,667,5,0,0,1],[0,667,6,0,0,1],[0,667,7,0,0,1],[0,667,8,0,0,1],[0,667,9,0,0,1],[0,156,1,0,0,1],[0,156,2,0,0,1],[0,156,3,0,0,1],[0,156,4,0,0,1],[0,156,5,0,0,1],[0,156,6,0,0,1],[0,156,7,0,0,1],[0,156,8,0,0,1],[0,156,9,0,0,1],[0,2204,1,0,0,1],[0,2204,2,0,0,1],[0,2204,3,0,0,1],[0,2204,4,0,0,1],[0,2204,5,0,0,1],[0,2204,6,0,0,1],[0,2204,7,0,0,1],[0,2204,8,0,0,1],[0,2204,9,0,0,1],[0,157,1,0,0,1],[0,157,2,0,0,1],[0,157,3,0,0,1],[0,157,4,0,0,1],[0,157,5,0,0,1],[0,157,6,0,0,1],[0,157,7,0,0,1],[0,157,8,0,0,1],[0,157,9,0,0,1],[0,669,1,0,0,1],[0,669,2,0,0,1],[0,669,3,0,0,1],[0,669,4,0,0,1],[0,669,5,0,0,1],[0,669,6,0,0,1],[0,669,7,0,0,1],[0,669,8,0,0,1],[0,669,9,0,0,1],[0,158,1,0,0,1],[0,158,2,0,0,1],[0,158,3,0,0,1],[0,158,4,0,0,1],[0,158,5,0,0,1],[0,158,6,0,0,1],[0,158,7,0,0,1],[0,158,8,0,0,1],[0,158,9,0,0,1],[0,1182,1,0,0,1],[0,1182,2,0,0,1],[0,1182,3,0,0,1],[0,1182,4,0,0,1],[0,1182,5,0,0,1],[0,1182,6,0,0,1],[0,1182,7,0,0,1],[0,1182,8,0,0,1],[0,1182,9,0,0,1],[0,159,1,0,0,1],[0,159,2,0,0,1],[0,159,3,0,0,1],[0,159,4,0,0,1],[0,159,5,0,0,1],[0,159,6,0,0,1],[0,159,7,0,0,1],[0,159,8,0,0,1],[0,159,9,0,0,1],[0,671,1,0,0,1],[0,671,2,0,0,1],[0,671,3,0,0,1],[0,671,4,0,0,1],[0,671,5,0,0,1],[0,671,6,0,0,1],[0,671,7,0,0,1],[0,671,8,0,0,1],[0,671,9,0,0,1],[0,160,1,0,0,1],[0,160,2,0,0,1],[0,160,3,0,0,1],[0,160,4,0,0,1],[0,160,5,0,0,1],[0,160,6,0,0,1],[0,160,7,0,0,1],[0,160,8,0,0,1],[0,160,9,0,0,1],[0,16544,1,0,0,1],[0,16544,2,0,0,1],[0,16544,3,0,0,1],[0,16544,4,0,0,1],[0,16544,5,0,0,1],[0,16544,6,0,0,1],[0,16544,7,0,0,1],[0,16544,8,0,0,1],[0,16544,9,0,0,1],[0,161,1,0,0,1],[0,161,2,0,0,1],[0,161,3,0,0,1],[0,161,4,0,0,1],[0,161,5,0,0,1],[0,161,6,0,0,1],[0,161,7,0,0,1],[0,161,8,0,0,1],[0,161,9,0,0,1],[0,673,1,0,0,1],[0,673,2,0,0,1],[0,673,3,0,0,1],[0,673,4,0,0,1],[0,673,5,0,0,1],[0,673,6,0,0,1],[0,673,7,0,0,1],[0,673,8,0,0,1],[0,673,9,0,0,1],[0,162,1,0,0,1],[0,162,2,0,0,1],[0,162,3,0,0,1],[0,162,4,0,0,1],[0,162,5,0,0,1],[0,162,6,0,0,1],[0,162,7,0,0,1],[0,162,8,0,0,1],[0,162,9,0,0,1],[0,1186,1,0,0,1],[0,1186,2,0,0,1],[0,1186,3,0,0,1],[0,1186,4,0,0,1],[0,1186,5,0,0,1],[0,1186,6,0,0,1],[0,1186,7,0,0,1],[0,1186,8,0,0,1],[0,1186,9,0,0,1],[0,163,1,0,0,1],[0,163,2,0,0,1],[0,163,3,0,0,1],[0,163,4,0,0,1],[0,163,5,0,0,1],[0,163,6,0,0,1],[0,163,7,0,0,1],[0,163,8,0,0,1],[0,163,9,0,0,1],[0,675,1,0,0,1],[0,675,2,0,0,1],[0,675,3,0,0,1],[0,675,4,0,0,1],[0,675,5,0,0,1],[0,675,6,0,0,1],[0,675,7,0,0,1],[0,675,8,0,0,1],[0,675,9,0,0,1],[0,164,1,0,0,1],[0,164,2,0,0,1],[0,164,3,0,0,1],[0,164,4,0,0,1],[0,164,5,0,0,1],[0,164,6,0,0,1],[0,164,7,0,0,1],[0,164,8,0,0,1],[0,164,9,0,0,1],[0,2212,1,0,0,1],[0,2212,2,0,0,1],[0,2212,3,0,0,1],[0,2212,4,0,0,1],[0,2212,5,0,0,1],[0,2212,6,0,0,1],[0,2212,7,0,0,1],[0,2212,8,0,0,1],[0,2212,9,0,0,1],[0,165,1,0,0,1],[0,165,2,0,0,1],[0,165,3,0,0,1],[0,165,4,0,0,1],[0,165,5,0,0,1],[0,165,6,0,0,1],[0,165,7,0,0,1],[0,165,8,0,0,1],[0,165,9,0,0,1],[0,677,1,0,0,1],[0,677,2,0,0,1],[0,677,3,0,0,1],[0,677,4,0,0,1],[0,677,5,0,0,1],[0,677,6,0,0,1],[0,677,7,0,0,1],[0,677,8,0,0,1],[0,677,9,0,0,1],[0,166,1,0,0,1],[0,166,2,0,0,1],[0,166,3,0,0,1],[0,166,4,0,0,1],[0,166,5,0,0,1],[0,166,6,0,0,1],[0,166,7,0,0,1],[0,166,8,0,0,1],[0,166,9,0,0,1],[0,1190,1,0,0,1],[0,1190,2,0,0,1],[0,1190,3,0,0,1],[0,1190,4,0,0,1],[0,1190,5,0,0,1],[0,1190,6,0,0,1],[0,1190,7,0,0,1],[0,1190,8,0,0,1],[0,1190,9,0,0,1],[0,167,1,0,0,1],[0,167,2,0,0,1],[0,167,3,0,0,1],[0,167,4,0,0,1],[0,167,5,0,0,1],[0,167,6,0,0,1],[0,167,7,0,0,1],[0,167,8,0,0,1],[0,167,9,0,0,1],[0,679,1,0,0,1],[0,679,2,0,0,1],[0,679,3,0,0,1],[0,679,4,0,0,1],[0,679,5,0,0,1],[0,679,6,0,0,1],[0,679,7,0,0,1],[0,679,8,0,0,1],[0,679,9,0,0,1],[0,168,1,0,0,1],[0,168,2,0,0,1],[0,168,3,0,0,1],[0,168,4,0,0,1],[0,168,5,0,0,1],[0,168,6,0,0,1],[0,168,7,0,0,1],[0,168,8,0,0,1],[0,168,9,0,0,1],[0,4264,1,0,0,1],[0,4264,2,0,0,1],[0,4264,3,0,0,1],[0,4264,4,0,0,1],[0,4264,5,0,0,1],[0,4264,6,0,0,1],[0,4264,7,0,0,1],[0,4264,8,0,0,1],[0,4264,9,0,0,1],[0,169,1,0,0,1],[0,169,2,0,0,1],[0,169,3,0,0,1],[0,169,4,0,0,1],[0,169,5,0,0,1],[0,169,6,0,0,1],[0,169,7,0,0,1],[0,169,8,0,0,1],[0,169,9,0,0,1],[0,681,1,0,0,1],[0,681,2,0,0,1],[0,681,3,0,0,1],[0,681,4,0,0,1],[0,681,5,0,0,1],[0,681,6,0,0,1],[0,681,7,0,0,1],[0,681,8,0,0,1],[0,681,9,0,0,1],[0,170,1,0,0,1],[0,170,2,0,0,1],[0,170,3,0,0,1],[0,170,4,0,0,1],[0,170,5,0,0,1],[0,170,6,0,0,1],[0,170,7,0,0,1],[0,170,8,0,0,1],[0,170,9,0,0,1],[0,1194,1,0,0,1],[0,1194,2,0,0,1],[0,1194,3,0,0,1],[0,1194,4,0,0,1],[0,1194,5,0,0,1],[0,1194,6,0,0,1],[0,1194,7,0,0,1],[0,1194,8,0,0,1],[0,1194,9,0,0,1],[0,171,1,0,0,1],[0,171,2,0,0,1],[0,171,3,0,0,1],[0,171,4,0,0,1],[0,171,5,0,0,1],[0,171,6,0,0,1],[0,171,7,0,0,1],[0,171,8,0,0,1],[0,171,9,0,0,1],[0,683,1,0,0,1],[0,683,2,0,0,1],[0,683,3,0,0,1],[0,683,4,0,0,1],[0,683,5,0,0,1],[0,683,6,0,0,1],[0,683,7,0,0,1],[0,683,8,0,0,1],[0,683,9,0,0,1],[0,172,1,0,0,1],[0,172,2,0,0,1],[0,172,3,0,0,1],[0,172,4,0,0,1],[0,172,5,0,0,1],[0,172,6,0,0,1],[0,172,7,0,0,1],[0,172,8,0,0,1],[0,172,9,0,0,1],[0,2220,1,0,0,1],[0,2220,2,0,0,1],[0,2220,3,0,0,1],[0,2220,4,0,0,1],[0,2220,5,0,0,1],[0,2220,6,0,0,1],[0,2220,7,0,0,1],[0,2220,8,0,0,1],[0,2220,9,0,0,1],[0,173,1,0,0,1],[0,173,2,0,0,1],[0,173,3,0,0,1],[0,173,4,0,0,1],[0,173,5,0,0,1],[0,173,6,0,0,1],[0,173,7,0,0,1],[0,173,8,0,0,1],[0,173,9,0,0,1],[0,685,1,0,0,1],[0,685,2,0,0,1],[0,685,3,0,0,1],[0,685,4,0,0,1],[0,685,5,0,0,1],[0,685,6,0,0,1],[0,685,7,0,0,1],[0,685,8,0,0,1],[0,685,9,0,0,1],[0,174,1,0,0,1],[0,174,2,0,0,1],[0,174,3,0,0,1],[0,174,4,0,0,1],[0,174,5,0,0,1],[0,174,6,0,0,1],[0,174,7,0,0,1],[0,174,8,0,0,1],[0,174,9,0,0,1],[0,1198,1,0,0,1],[0,1198,2,0,0,1],[0,1198,3,0,0,1],[0,1198,4,0,0,1],[0,1198,5,0,0,1],[0,1198,6,0,0,1],[0,1198,7,0,0,1],[0,1198,8,0,0,1],[0,1198,9,0,0,1],[0,175,1,0,0,1],[0,175,2,0,0,1],[0,175,3,0,0,1],[0,175,4,0,0,1],[0,175,5,0,0,1],[0,175,6,0,0,1],[0,175,7,0,0,1],[0,175,8,0,0,1],[0,175,9,0,0,1],[0,687,1,0,0,1],[0,687,2,0,0,1],[0,687,3,0,0,1],[0,687,4,0,0,1],[0,687,5,0,0,1],[0,687,6,0,0,1],[0,687,7,0,0,1],[0,687,8,0,0,1],[0,687,9,0,0,1],[0,176,1,0,0,1],[0,176,2,0,0,1],[0,176,3,0,0,1],[0,176,4,0,0,1],[0,176,5,0,0,1],[0,176,6,0,0,1],[0,176,7,0,0,1],[0,176,8,0,0,1],[0,176,9,0,0,1],[0,8368,1,0,0,1],[0,8368,2,0,0,1],[0,8368,3,0,0,1],[0,8368,4,0,0,1],[0,8368,5,0,0,1],[0,8368,6,0,0,1],[0,8368,7,0,0,1],[0,8368,8,0,0,1],[0,8368,9,0,0,1],[0,177,1,0,0,1],[0,177,2,0,0,1],[0,177,3,0,0,1],[0,177,4,0,0,1],[0,177,5,0,0,1],[0,177,6,0,0,1],[0,177,7,0,0,1],[0,177,8,0,0,1],[0,177,9,0,0,1],[0,689,1,0,0,1],[0,689,2,0,0,1],[0,689,3,0,0,1],[0,689,4,0,0,1],[0,689,5,0,0,1],[0,689,6,0,0,1],[0,689,7,0,0,1],[0,689,8,0,0,1],[0,689,9,0,0,1],[0,178,1,0,0,1],[0,178,2,0,0,1],[0,178,3,0,0,1],[0,178,4,0,0,1],[0,178,5,0,0,1],[0,178,6,0,0,1],[0,178,7,0,0,1],[0,178,8,0,0,1],[0,178,9,0,0,1],[0,1202,1,0,0,1],[0,1202,2,0,0,1],[0,1202,3,0,0,1],[0,1202,4,0,0,1],[0,1202,5,0,0,1],[0,1202,6,0,0,1],[0,1202,7,0,0,1],[0,1202,8,0,0,1],[0,1202,9,0,0,1],[0,179,1,0,0,1],[0,179,2,0,0,1],[0,179,3,0,0,1],[0,179,4,0,0,1],[0,179,5,0,0,1],[0,179,6,0,0,1],[0,179,7,0,0,1],[0,179,8,0,0,1],[0,179,9,0,0,1],[0,691,1,0,0,1],[0,691,2,0,0,1],[0,691,3,0,0,1],[0,691,4,0,0,1],[0,691,5,0,0,1],[0,691,6,0,0,1],[0,691,7,0,0,1],[0,691,8,0,0,1],[0,691,9,0,0,1],[0,180,1,0,0,1],[0,180,2,0,0,1],[0,180,3,0,0,1],[0,180,4,0,0,1],[0,180,5,0,0,1],[0,180,6,0,0,1],[0,180,7,0,0,1],[0,180,8,0,0,1],[0,180,9,0,0,1],[0,2228,1,0,0,1],[0,2228,2,0,0,1],[0,2228,3,0,0,1],[0,2228,4,0,0,1],[0,2228,5,0,0,1],[0,2228,6,0,0,1],[0,2228,7,0,0,1],[0,2228,8,0,0,1],[0,2228,9,0,0,1],[0,181,1,0,0,1],[0,181,2,0,0,1],[0,181,3,0,0,1],[0,181,4,0,0,1],[0,181,5,0,0,1],[0,181,6,0,0,1],[0,181,7,0,0,1],[0,181,8,0,0,1],[0,181,9,0,0,1],[0,693,1,0,0,1],[0,693,2,0,0,1],[0,693,3,0,0,1],[0,693,4,0,0,1],[0,693,5,0,0,1],[0,693,6,0,0,1],[0,693,7,0,0,1],[0,693,8,0,0,1],[0,693,9,0,0,1],[0,182,1,0,0,1],[0,182,2,0,0,1],[0,182,3,0,0,1],[0,182,4,0,0,1],[0,182,5,0,0,1],[0,182,6,0,0,1],[0,182,7,0,0,1],[0,182,8,0,0,1],[0,182,9,0,0,1],[0,1206,1,0,0,1],[0,1206,2,0,0,1],[0,1206,3,0,0,1],[0,1206,4,0,0,1],[0,1206,5,0,0,1],[0,1206,6,0,0,1],[0,1206,7,0,0,1],[0,1206,8,0,0,1],[0,1206,9,0,0,1],[0,183,1,0,0,1],[0,183,2,0,0,1],[0,183,3,0,0,1],[0,183,4,0,0,1],[0,183,5,0,0,1],[0,183,6,0,0,1],[0,183,7,0,0,1],[0,183,8,0,0,1],[0,183,9,0,0,1],[0,695,1,0,0,1],[0,695,2,0,0,1],[0,695,3,0,0,1],[0,695,4,0,0,1],[0,695,5,0,0,1],[0,695,6,0,0,1],[0,695,7,0,0,1],[0,695,8,0,0,1],[0,695,9,0,0,1],[0,184,1,0,0,1],[0,184,2,0,0,1],[0,184,3,0,0,1],[0,184,4,0,0,1],[0,184,5,0,0,1],[0,184,6,0,0,1],[0,184,7,0,0,1],[0,184,8,0,0,1],[0,184,9,0,0,1],[0,4280,1,0,0,1],[0,4280,2,0,0,1],[0,4280,3,0,0,1],[0,4280,4,0,0,1],[0,4280,5,0,0,1],[0,4280,6,0,0,1],[0,4280,7,0,0,1],[0,4280,8,0,0,1],[0,4280,9,0,0,1],[0,185,1,0,0,1],[0,185,2,0,0,1],[0,185,3,0,0,1],[0,185,4,0,0,1],[0,185,5,0,0,1],[0,185,6,0,0,1],[0,185,7,0,0,1],[0,185,8,0,0,1],[0,185,9,0,0,1],[0,697,1,0,0,1],[0,697,2,0,0,1],[0,697,3,0,0,1],[0,697,4,0,0,1],[0,697,5,0,0,1],[0,697,6,0,0,1],[0,697,7,0,0,1],[0,697,8,0,0,1],[0,697,9,0,0,1],[0,186,1,0,0,1],[0,186,2,0,0,1],[0,186,3,0,0,1],[0,186,4,0,0,1],[0,186,5,0,0,1],[0,186,6,0,0,1],[0,186,7,0,0,1],[0,186,8,0,0,1],[0,186,9,0,0,1],[0,1210,1,0,0,1],[0,1210,2,0,0,1],[0,1210,3,0,0,1],[0,1210,4,0,0,1],[0,1210,5,0,0,1],[0,1210,6,0,0,1],[0,1210,7,0,0,1],[0,1210,8,0,0,1],[0,1210,9,0,0,1],[0,187,1,0,0,1],[0,187,2,0,0,1],[0,187,3,0,0,1],[0,187,4,0,0,1],[0,187,5,0,0,1],[0,187,6,0,0,1],[0,187,7,0,0,1],[0,187,8,0,0,1],[0,187,9,0,0,1],[0,699,1,0,0,1],[0,699,2,0,0,1],[0,699,3,0,0,1],[0,699,4,0,0,1],[0,699,5,0,0,1],[0,699,6,0,0,1],[0,699,7,0,0,1],[0,699,8,0,0,1],[0,699,9,0,0,1],[0,188,1,0,0,1],[0,188,2,0,0,1],[0,188,3,0,0,1],[0,188,4,0,0,1],[0,188,5,0,0,1],[0,188,6,0,0,1],[0,188,7,0,0,1],[0,188,8,0,0,1],[0,188,9,0,0,1],[0,2236,1,0,0,1],[0,2236,2,0,0,1],[0,2236,3,0,0,1],[0,2236,4,0,0,1],[0,2236,5,0,0,1],[0,2236,6,0,0,1],[0,2236,7,0,0,1],[0,2236,8,0,0,1],[0,2236,9,0,0,1],[0,189,1,0,0,1],[0,189,2,0,0,1],[0,189,3,0,0,1],[0,189,4,0,0,1],[0,189,5,0,0,1],[0,189,6,0,0,1],[0,189,7,0,0,1],[0,189,8,0,0,1],[0,189,9,0,0,1],[0,701,1,0,0,1],[0,701,2,0,0,1],[0,701,3,0,0,1],[0,701,4,0,0,1],[0,701,5,0,0,1],[0,701,6,0,0,1],[0,701,7,0,0,1],[0,701,8,0,0,1],[0,701,9,0,0,1],[0,190,1,0,0,1],[0,190,2,0,0,1],[0,190,3,0,0,1],[0,190,4,0,0,1],[0,190,5,0,0,1],[0,190,6,0,0,1],[0,190,7,0,0,1],[0,190,8,0,0,1],[0,190,9,0,0,1],[0,1214,1,0,0,1],[0,1214,2,0,0,1],[0,1214,3,0,0,1],[0,1214,4,0,0,1],[0,1214,5,0,0,1],[0,1214,6,0,0,1],[0,1214,7,0,0,1],[0,1214,8,0,0,1],[0,1214,9,0,0,1],[0,191,1,0,0,1],[0,191,2,0,0,1],[0,191,3,0,0,1],[0,191,4,0,0,1],[0,191,5,0,0,1],[0,191,6,0,0,1],[0,191,7,0,0,1],[0,191,8,0,0,1],[0,191,9,0,0,1],[0,703,1,0,0,1],[0,703,2,0,0,1],[0,703,3,0,0,1],[0,703,4,0,0,1],[0,703,5,0,0,1],[0,703,6,0,0,1],[0,703,7,0,0,1],[0,703,8,0,0,1],[0,703,9,0,0,1],[0,192,1,0,0,1],[0,192,2,0,0,1],[0,192,3,0,0,1],[0,192,4,0,0,1],[0,192,5,0,0,1],[0,192,6,0,0,1],[0,192,7,0,0,1],[0,192,8,0,0,1],[0,192,9,0,0,1],[0,32960,1,0,0,1],[0,32960,2,0,0,1],[0,32960,3,0,0,1],[0,32960,4,0,0,1],[0,32960,5,0,0,1],[0,32960,6,0,0,1],[0,32960,7,0,0,1],[0,32960,8,0,0,1],[0,32960,9,0,0,1],[0,193,1,0,0,1],[0,193,2,0,0,1],[0,193,3,0,0,1],[0,193,4,0,0,1],[0,193,5,0,0,1],[0,193,6,0,0,1],[0,193,7,0,0,1],[0,193,8,0,0,1],[0,193,9,0,0,1],[0,705,1,0,0,1],[0,705,2,0,0,1],[0,705,3,0,0,1],[0,705,4,0,0,1],[0,705,5,0,0,1],[0,705,6,0,0,1],[0,705,7,0,0,1],[0,705,8,0,0,1],[0,705,9,0,0,1],[0,194,1,0,0,1],[0,194,2,0,0,1],[0,194,3,0,0,1],[0,194,4,0,0,1],[0,194,5,0,0,1],[0,194,6,0,0,1],[0,194,7,0,0,1],[0,194,8,0,0,1],[0,194,9,0,0,1],[0,1218,1,0,0,1],[0,1218,2,0,0,1],[0,1218,3,0,0,1],[0,1218,4,0,0,1],[0,1218,5,0,0,1],[0,1218,6,0,0,1],[0,1218,7,0,0,1],[0,1218,8,0,0,1],[0,1218,9,0,0,1],[0,195,1,0,0,1],[0,195,2,0,0,1],[0,195,3,0,0,1],[0,195,4,0,0,1],[0,195,5,0,0,1],[0,195,6,0,0,1],[0,195,7,0,0,1],[0,195,8,0,0,1],[0,195,9,0,0,1],[0,707,1,0,0,1],[0,707,2,0,0,1],[0,707,3,0,0,1],[0,707,4,0,0,1],[0,707,5,0,0,1],[0,707,6,0,0,1],[0,707,7,0,0,1],[0,707,8,0,0,1],[0,707,9,0,0,1],[0,196,1,0,0,1],[0,196,2,0,0,1],[0,196,3,0,0,1],[0,196,4,0,0,1],[0,196,5,0,0,1],[0,196,6,0,0,1],[0,196,7,0,0,1],[0,196,8,0,0,1],[0,196,9,0,0,1],[0,2244,1,0,0,1],[0,2244,2,0,0,1],[0,2244,3,0,0,1],[0,2244,4,0,0,1],[0,2244,5,0,0,1],[0,2244,6,0,0,1],[0,2244,7,0,0,1],[0,2244,8,0,0,1],[0,2244,9,0,0,1],[0,197,1,0,0,1],[0,197,2,0,0,1],[0,197,3,0,0,1],[0,197,4,0,0,1],[0,197,5,0,0,1],[0,197,6,0,0,1],[0,197,7,0,0,1],[0,197,8,0,0,1],[0,197,9,0,0,1],[0,709,1,0,0,1],[0,709,2,0,0,1],[0,709,3,0,0,1],[0,709,4,0,0,1],[0,709,5,0,0,1],[0,709,6,0,0,1],[0,709,7,0,0,1],[0,709,8,0,0,1],[0,709,9,0,0,1],[0,198,1,0,0,1],[0,198,2,0,0,1],[0,198,3,0,0,1],[0,198,4,0,0,1],[0,198,5,0,0,1],[0,198,6,0,0,1],[0,198,7,0,0,1],[0,198,8,0,0,1],[0,198,9,0,0,1],[0,1222,1,0,0,1],[0,1222,2,0,0,1],[0,1222,3,0,0,1],[0,1222,4,0,0,1],[0,1222,5,0,0,1],[0,1222,6,0,0,1],[0,1222,7,0,0,1],[0,1222,8,0,0,1],[0,1222,9,0,0,1],[0,199,1,0,0,1],[0,199,2,0,0,1],[0,199,3,0,0,1],[0,199,4,0,0,1],[0,199,5,0,0,1],[0,199,6,0,0,1],[0,199,7,0,0,1],[0,199,8,0,0,1],[0,199,9,0,0,1],[0,711,1,0,0,1],[0,711,2,0,0,1],[0,711,3,0,0,1],[0,711,4,0,0,1],[0,711,5,0,0,1],[0,711,6,0,0,1],[0,711,7,0,0,1],[0,711,8,0,0,1],[0,711,9,0,0,1],[0,200,1,0,0,1],[0,200,2,0,0,1],[0,200,3,0,0,1],[0,200,4,0,0,1],[0,200,5,0,0,1],[0,200,6,0,0,1],[0,200,7,0,0,1],[0,200,8,0,0,1],[0,200,9,0,0,1],[0,4296,1,0,0,1],[0,4296,2,0,0,1],[0,4296,3,0,0,1],[0,4296,4,0,0,1],[0,4296,5,0,0,1],[0,4296,6,0,0,1],[0,4296,7,0,0,1],[0,4296,8,0,0,1],[0,4296,9,0,0,1],[0,201,1,0,0,1],[0,201,2,0,0,1],[0,201,3,0,0,1],[0,201,4,0,0,1],[0,201,5,0,0,1],[0,201,6,0,0,1],[0,201,7,0,0,1],[0,201,8,0,0,1],[0,201,9,0,0,1],[0,713,1,0,0,1],[0,713,2,0,0,1],[0,713,3,0,0,1],[0,713,4,0,0,1],[0,713,5,0,0,1],[0,713,6,0,0,1],[0,713,7,0,0,1],[0,713,8,0,0,1],[0,713,9,0,0,1],[0,202,1,0,0,1],[0,202,2,0,0,1],[0,202,3,0,0,1],[0,202,4,0,0,1],[0,202,5,0,0,1],[0,202,6,0,0,1],[0,202,7,0,0,1],[0,202,8,0,0,1],[0,202,9,0,0,1],[0,1226,1,0,0,1],[0,1226,2,0,0,1],[0,1226,3,0,0,1],[0,1226,4,0,0,1],[0,1226,5,0,0,1],[0,1226,6,0,0,1],[0,1226,7,0,0,1],[0,1226,8,0,0,1],[0,1226,9,0,0,1],[0,203,1,0,0,1],[0,203,2,0,0,1],[0,203,3,0,0,1],[0,203,4,0,0,1],[0,203,5,0,0,1],[0,203,6,0,0,1],[0,203,7,0,0,1],[0,203,8,0,0,1],[0,203,9,0,0,1],[0,715,1,0,0,1],[0,715,2,0,0,1],[0,715,3,0,0,1],[0,715,4,0,0,1],[0,715,5,0,0,1],[0,715,6,0,0,1],[0,715,7,0,0,1],[0,715,8,0,0,1],[0,715,9,0,0,1],[0,204,1,0,0,1],[0,204,2,0,0,1],[0,204,3,0,0,1],[0,204,4,0,0,1],[0,204,5,0,0,1],[0,204,6,0,0,1],[0,204,7,0,0,1],[0,204,8,0,0,1],[0,204,9,0,0,1],[0,2252,1,0,0,1],[0,2252,2,0,0,1],[0,2252,3,0,0,1],[0,2252,4,0,0,1],[0,2252,5,0,0,1],[0,2252,6,0,0,1],[0,2252,7,0,0,1],[0,2252,8,0,0,1],[0,2252,9,0,0,1],[0,205,1,0,0,1],[0,205,2,0,0,1],[0,205,3,0,0,1],[0,205,4,0,0,1],[0,205,5,0,0,1],[0,205,6,0,0,1],[0,205,7,0,0,1],[0,205,8,0,0,1],[0,205,9,0,0,1],[0,717,1,0,0,1],[0,717,2,0,0,1],[0,717,3,0,0,1],[0,717,4,0,0,1],[0,717,5,0,0,1],[0,717,6,0,0,1],[0,717,7,0,0,1],[0,717,8,0,0,1],[0,717,9,0,0,1],[0,206,1,0,0,1],[0,206,2,0,0,1],[0,206,3,0,0,1],[0,206,4,0,0,1],[0,206,5,0,0,1],[0,206,6,0,0,1],[0,206,7,0,0,1],[0,206,8,0,0,1],[0,206,9,0,0,1],[0,1230,1,0,0,1],[0,1230,2,0,0,1],[0,1230,3,0,0,1],[0,1230,4,0,0,1],[0,1230,5,0,0,1],[0,1230,6,0,0,1],[0,1230,7,0,0,1],[0,1230,8,0,0,1],[0,1230,9,0,0,1],[0,207,1,0,0,1],[0,207,2,0,0,1],[0,207,3,0,0,1],[0,207,4,0,0,1],[0,207,5,0,0,1],[0,207,6,0,0,1],[0,207,7,0,0,1],[0,207,8,0,0,1],[0,207,9,0,0,1],[0,719,1,0,0,1],[0,719,2,0,0,1],[0,719,3,0,0,1],[0,719,4,0,0,1],[0,719,5,0,0,1],[0,719,6,0,0,1],[0,719,7,0,0,1],[0,719,8,0,0,1],[0,719,9,0,0,1],[0,208,1,0,0,1],[0,208,2,0,0,1],[0,208,3,0,0,1],[0,208,4,0,0,1],[0,208,5,0,0,1],[0,208,6,0,0,1],[0,208,7,0,0,1],[0,208,8,0,0,1],[0,208,9,0,0,1],[0,8400,1,0,0,1],[0,8400,2,0,0,1],[0,8400,3,0,0,1],[0,8400,4,0,0,1],[0,8400,5,0,0,1],[0,8400,6,0,0,1],[0,8400,7,0,0,1],[0,8400,8,0,0,1],[0,8400,9,0,0,1],[0,209,1,0,0,1],[0,209,2,0,0,1],[0,209,3,0,0,1],[0,209,4,0,0,1],[0,209,5,0,0,1],[0,209,6,0,0,1],[0,209,7,0,0,1],[0,209,8,0,0,1],[0,209,9,0,0,1],[0,721,1,0,0,1],[0,721,2,0,0,1],[0,721,3,0,0,1],[0,721,4,0,0,1],[0,721,5,0,0,1],[0,721,6,0,0,1],[0,721,7,0,0,1],[0,721,8,0,0,1],[0,721,9,0,0,1],[0,210,1,0,0,1],[0,210,2,0,0,1],[0,210,3,0,0,1],[0,210,4,0,0,1],[0,210,5,0,0,1],[0,210,6,0,0,1],[0,210,7,0,0,1],[0,210,8,0,0,1],[0,210,9,0,0,1],[0,1234,1,0,0,1],[0,1234,2,0,0,1],[0,1234,3,0,0,1],[0,1234,4,0,0,1],[0,1234,5,0,0,1],[0,1234,6,0,0,1],[0,1234,7,0,0,1],[0,1234,8,0,0,1],[0,1234,9,0,0,1],[0,211,1,0,0,1],[0,211,2,0,0,1],[0,211,3,0,0,1],[0,211,4,0,0,1],[0,211,5,0,0,1],[0,211,6,0,0,1],[0,211,7,0,0,1],[0,211,8,0,0,1],[0,211,9,0,0,1],[0,723,1,0,0,1],[0,723,2,0,0,1],[0,723,3,0,0,1],[0,723,4,0,0,1],[0,723,5,0,0,1],[0,723,6,0,0,1],[0,723,7,0,0,1],[0,723,8,0,0,1],[0,723,9,0,0,1],[0,212,1,0,0,1],[0,212,2,0,0,1],[0,212,3,0,0,1],[0,212,4,0,0,1],[0,212,5,0,0,1],[0,212,6,0,0,1],[0,212,7,0,0,1],[0,212,8,0,0,1],[0,212,9,0,0,1],[0,2260,1,0,0,1],[0,2260,2,0,0,1],[0,2260,3,0,0,1],[0,2260,4,0,0,1],[0,2260,5,0,0,1],[0,2260,6,0,0,1],[0,2260,7,0,0,1],[0,2260,8,0,0,1],[0,2260,9,0,0,1],[0,213,1,0,0,1],[0,213,2,0,0,1],[0,213,3,0,0,1],[0,213,4,0,0,1],[0,213,5,0,0,1],[0,213,6,0,0,1],[0,213,7,0,0,1],[0,213,8,0,0,1],[0,213,9,0,0,1],[0,725,1,0,0,1],[0,725,2,0,0,1],[0,725,3,0,0,1],[0,725,4,0,0,1],[0,725,5,0,0,1],[0,725,6,0,0,1],[0,725,7,0,0,1],[0,725,8,0,0,1],[0,725,9,0,0,1],[0,214,1,0,0,1],[0,214,2,0,0,1],[0,214,3,0,0,1],[0,214,4,0,0,1],[0,214,5,0,0,1],[0,214,6,0,0,1],[0,214,7,0,0,1],[0,214,8,0,0,1],[0,214,9,0,0,1],[0,1238,1,0,0,1],[0,1238,2,0,0,1],[0,1238,3,0,0,1],[0,1238,4,0,0,1],[0,1238,5,0,0,1],[0,1238,6,0,0,1],[0,1238,7,0,0,1],[0,1238,8,0,0,1],[0,1238,9,0,0,1],[0,215,1,0,0,1],[0,215,2,0,0,1],[0,215,3,0,0,1],[0,215,4,0,0,1],[0,215,5,0,0,1],[0,215,6,0,0,1],[0,215,7,0,0,1],[0,215,8,0,0,1],[0,215,9,0,0,1],[0,727,1,0,0,1],[0,727,2,0,0,1],[0,727,3,0,0,1],[0,727,4,0,0,1],[0,727,5,0,0,1],[0,727,6,0,0,1],[0,727,7,0,0,1],[0,727,8,0,0,1],[0,727,9,0,0,1],[0,216,1,0,0,1],[0,216,2,0,0,1],[0,216,3,0,0,1],[0,216,4,0,0,1],[0,216,5,0,0,1],[0,216,6,0,0,1],[0,216,7,0,0,1],[0,216,8,0,0,1],[0,216,9,0,0,1],[0,4312,1,0,0,1],[0,4312,2,0,0,1],[0,4312,3,0,0,1],[0,4312,4,0,0,1],[0,4312,5,0,0,1],[0,4312,6,0,0,1],[0,4312,7,0,0,1],[0,4312,8,0,0,1],[0,4312,9,0,0,1],[0,217,1,0,0,1],[0,217,2,0,0,1],[0,217,3,0,0,1],[0,217,4,0,0,1],[0,217,5,0,0,1],[0,217,6,0,0,1],[0,217,7,0,0,1],[0,217,8,0,0,1],[0,217,9,0,0,1],[0,729,1,0,0,1],[0,729,2,0,0,1],[0,729,3,0,0,1],[0,729,4,0,0,1],[0,729,5,0,0,1],[0,729,6,0,0,1],[0,729,7,0,0,1],[0,729,8,0,0,1],[0,729,9,0,0,1],[0,218,1,0,0,1],[0,218,2,0,0,1],[0,218,3,0,0,1],[0,218,4,0,0,1],[0,218,5,0,0,1],[0,218,6,0,0,1],[0,218,7,0,0,1],[0,218,8,0,0,1],[0,218,9,0,0,1],[0,1242,1,0,0,1],[0,1242,2,0,0,1],[0,1242,3,0,0,1],[0,1242,4,0,0,1],[0,1242,5,0,0,1],[0,1242,6,0,0,1],[0,1242,7,0,0,1],[0,1242,8,0,0,1],[0,1242,9,0,0,1],[0,219,1,0,0,1],[0,219,2,0,0,1],[0,219,3,0,0,1],[0,219,4,0,0,1],[0,219,5,0,0,1],[0,219,6,0,0,1],[0,219,7,0,0,1],[0,219,8,0,0,1],[0,219,9,0,0,1],[0,731,1,0,0,1],[0,731,2,0,0,1],[0,731,3,0,0,1],[0,731,4,0,0,1],[0,731,5,0,0,1],[0,731,6,0,0,1],[0,731,7,0,0,1],[0,731,8,0,0,1],[0,731,9,0,0,1],[0,220,1,0,0,1],[0,220,2,0,0,1],[0,220,3,0,0,1],[0,220,4,0,0,1],[0,220,5,0,0,1],[0,220,6,0,0,1],[0,220,7,0,0,1],[0,220,8,0,0,1],[0,220,9,0,0,1],[0,2268,1,0,0,1],[0,2268,2,0,0,1],[0,2268,3,0,0,1],[0,2268,4,0,0,1],[0,2268,5,0,0,1],[0,2268,6,0,0,1],[0,2268,7,0,0,1],[0,2268,8,0,0,1],[0,2268,9,0,0,1],[0,221,1,0,0,1],[0,221,2,0,0,1],[0,221,3,0,0,1],[0,221,4,0,0,1],[0,221,5,0,0,1],[0,221,6,0,0,1],[0,221,7,0,0,1],[0,221,8,0,0,1],[0,221,9,0,0,1],[0,733,1,0,0,1],[0,733,2,0,0,1],[0,733,3,0,0,1],[0,733,4,0,0,1],[0,733,5,0,0,1],[0,733,6,0,0,1],[0,733,7,0,0,1],[0,733,8,0,0,1],[0,733,9,0,0,1],[0,222,1,0,0,1],[0,222,2,0,0,1],[0,222,3,0,0,1],[0,222,4,0,0,1],[0,222,5,0,0,1],[0,222,6,0,0,1],[0,222,7,0,0,1],[0,222,8,0,0,1],[0,222,9,0,0,1],[0,1246,1,0,0,1],[0,1246,2,0,0,1],[0,1246,3,0,0,1],[0,1246,4,0,0,1],[0,1246,5,0,0,1],[0,1246,6,0,0,1],[0,1246,7,0,0,1],[0,1246,8,0,0,1],[0,1246,9,0,0,1],[0,223,1,0,0,1],[0,223,2,0,0,1],[0,223,3,0,0,1],[0,223,4,0,0,1],[0,223,5,0,0,1],[0,223,6,0,0,1],[0,223,7,0,0,1],[0,223,8,0,0,1],[0,223,9,0,0,1],[0,735,1,0,0,1],[0,735,2,0,0,1],[0,735,3,0,0,1],[0,735,4,0,0,1],[0,735,5,0,0,1],[0,735,6,0,0,1],[0,735,7,0,0,1],[0,735,8,0,0,1],[0,735,9,0,0,1],[0,224,1,0,0,1],[0,224,2,0,0,1],[0,224,3,0,0,1],[0,224,4,0,0,1],[0,224,5,0,0,1],[0,224,6,0,0,1],[0,224,7,0,0,1],[0,224,8,0,0,1],[0,224,9,0,0,1],[0,16608,1,0,0,1],[0,16608,2,0,0,1],[0,16608,3,0,0,1],[0,16608,4,0,0,1],[0,16608,5,0,0,1],[0,16608,6,0,0,1],[0,16608,7,0,0,1],[0,16608,8,0,0,1],[0,16608,9,0,0,1],[0,225,1,0,0,1],[0,225,2,0,0,1],[0,225,3,0,0,1],[0,225,4,0,0,1],[0,225,5,0,0,1],[0,225,6,0,0,1],[0,225,7,0,0,1],[0,225,8,0,0,1],[0,225,9,0,0,1],[0,737,1,0,0,1],[0,737,2,0,0,1],[0,737,3,0,0,1],[0,737,4,0,0,1],[0,737,5,0,0,1],[0,737,6,0,0,1],[0,737,7,0,0,1],[0,737,8,0,0,1],[0,737,9,0,0,1],[0,226,1,0,0,1],[0,226,2,0,0,1],[0,226,3,0,0,1],[0,226,4,0,0,1],[0,226,5,0,0,1],[0,226,6,0,0,1],[0,226,7,0,0,1],[0,226,8,0,0,1],[0,226,9,0,0,1],[0,1250,1,0,0,1],[0,1250,2,0,0,1],[0,1250,3,0,0,1],[0,1250,4,0,0,1],[0,1250,5,0,0,1],[0,1250,6,0,0,1],[0,1250,7,0,0,1],[0,1250,8,0,0,1],[0,1250,9,0,0,1],[0,227,1,0,0,1],[0,227,2,0,0,1],[0,227,3,0,0,1],[0,227,4,0,0,1],[0,227,5,0,0,1],[0,227,6,0,0,1],[0,227,7,0,0,1],[0,227,8,0,0,1],[0,227,9,0,0,1],[0,739,1,0,0,1],[0,739,2,0,0,1],[0,739,3,0,0,1],[0,739,4,0,0,1],[0,739,5,0,0,1],[0,739,6,0,0,1],[0,739,7,0,0,1],[0,739,8,0,0,1],[0,739,9,0,0,1],[0,228,1,0,0,1],[0,228,2,0,0,1],[0,228,3,0,0,1],[0,228,4,0,0,1],[0,228,5,0,0,1],[0,228,6,0,0,1],[0,228,7,0,0,1],[0,228,8,0,0,1],[0,228,9,0,0,1],[0,2276,1,0,0,1],[0,2276,2,0,0,1],[0,2276,3,0,0,1],[0,2276,4,0,0,1],[0,2276,5,0,0,1],[0,2276,6,0,0,1],[0,2276,7,0,0,1],[0,2276,8,0,0,1],[0,2276,9,0,0,1],[0,229,1,0,0,1],[0,229,2,0,0,1],[0,229,3,0,0,1],[0,229,4,0,0,1],[0,229,5,0,0,1],[0,229,6,0,0,1],[0,229,7,0,0,1],[0,229,8,0,0,1],[0,229,9,0,0,1],[0,741,1,0,0,1],[0,741,2,0,0,1],[0,741,3,0,0,1],[0,741,4,0,0,1],[0,741,5,0,0,1],[0,741,6,0,0,1],[0,741,7,0,0,1],[0,741,8,0,0,1],[0,741,9,0,0,1],[0,230,1,0,0,1],[0,230,2,0,0,1],[0,230,3,0,0,1],[0,230,4,0,0,1],[0,230,5,0,0,1],[0,230,6,0,0,1],[0,230,7,0,0,1],[0,230,8,0,0,1],[0,230,9,0,0,1],[0,1254,1,0,0,1],[0,1254,2,0,0,1],[0,1254,3,0,0,1],[0,1254,4,0,0,1],[0,1254,5,0,0,1],[0,1254,6,0,0,1],[0,1254,7,0,0,1],[0,1254,8,0,0,1],[0,1254,9,0,0,1],[0,231,1,0,0,1],[0,231,2,0,0,1],[0,231,3,0,0,1],[0,231,4,0,0,1],[0,231,5,0,0,1],[0,231,6,0,0,1],[0,231,7,0,0,1],[0,231,8,0,0,1],[0,231,9,0,0,1],[0,743,1,0,0,1],[0,743,2,0,0,1],[0,743,3,0,0,1],[0,743,4,0,0,1],[0,743,5,0,0,1],[0,743,6,0,0,1],[0,743,7,0,0,1],[0,743,8,0,0,1],[0,743,9,0,0,1],[0,232,1,0,0,1],[0,232,2,0,0,1],[0,232,3,0,0,1],[0,232,4,0,0,1],[0,232,5,0,0,1],[0,232,6,0,0,1],[0,232,7,0,0,1],[0,232,8,0,0,1],[0,232,9,0,0,1],[0,4328,1,0,0,1],[0,4328,2,0,0,1],[0,4328,3,0,0,1],[0,4328,4,0,0,1],[0,4328,5,0,0,1],[0,4328,6,0,0,1],[0,4328,7,0,0,1],[0,4328,8,0,0,1],[0,4328,9,0,0,1],[0,233,1,0,0,1],[0,233,2,0,0,1],[0,233,3,0,0,1],[0,233,4,0,0,1],[0,233,5,0,0,1],[0,233,6,0,0,1],[0,233,7,0,0,1],[0,233,8,0,0,1],[0,233,9,0,0,1],[0,745,1,0,0,1],[0,745,2,0,0,1],[0,745,3,0,0,1],[0,745,4,0,0,1],[0,745,5,0,0,1],[0,745,6,0,0,1],[0,745,7,0,0,1],[0,745,8,0,0,1],[0,745,9,0,0,1],[0,234,1,0,0,1],[0,234,2,0,0,1],[0,234,3,0,0,1],[0,234,4,0,0,1],[0,234,5,0,0,1],[0,234,6,0,0,1],[0,234,7,0,0,1],[0,234,8,0,0,1],[0,234,9,0,0,1],[0,1258,1,0,0,1],[0,1258,2,0,0,1],[0,1258,3,0,0,1],[0,1258,4,0,0,1],[0,1258,5,0,0,1],[0,1258,6,0,0,1],[0,1258,7,0,0,1],[0,1258,8,0,0,1],[0,1258,9,0,0,1],[0,235,1,0,0,1],[0,235,2,0,0,1],[0,235,3,0,0,1],[0,235,4,0,0,1],[0,235,5,0,0,1],[0,235,6,0,0,1],[0,235,7,0,0,1],[0,235,8,0,0,1],[0,235,9,0,0,1],[0,747,1,0,0,1],[0,747,2,0,0,1],[0,747,3,0,0,1],[0,747,4,0,0,1],[0,747,5,0,0,1],[0,747,6,0,0,1],[0,747,7,0,0,1],[0,747,8,0,0,1],[0,747,9,0,0,1],[0,236,1,0,0,1],[0,236,2,0,0,1],[0,236,3,0,0,1],[0,236,4,0,0,1],[0,236,5,0,0,1],[0,236,6,0,0,1],[0,236,7,0,0,1],[0,236,8,0,0,1],[0,236,9,0,0,1],[0,2284,1,0,0,1],[0,2284,2,0,0,1],[0,2284,3,0,0,1],[0,2284,4,0,0,1],[0,2284,5,0,0,1],[0,2284,6,0,0,1],[0,2284,7,0,0,1],[0,2284,8,0,0,1],[0,2284,9,0,0,1],[0,237,1,0,0,1],[0,237,2,0,0,1],[0,237,3,0,0,1],[0,237,4,0,0,1],[0,237,5,0,0,1],[0,237,6,0,0,1],[0,237,7,0,0,1],[0,237,8,0,0,1],[0,237,9,0,0,1],[0,749,1,0,0,1],[0,749,2,0,0,1],[0,749,3,0,0,1],[0,749,4,0,0,1],[0,749,5,0,0,1],[0,749,6,0,0,1],[0,749,7,0,0,1],[0,749,8,0,0,1],[0,749,9,0,0,1],[0,238,1,0,0,1],[0,238,2,0,0,1],[0,238,3,0,0,1],[0,238,4,0,0,1],[0,238,5,0,0,1],[0,238,6,0,0,1],[0,238,7,0,0,1],[0,238,8,0,0,1],[0,238,9,0,0,1],[0,1262,1,0,0,1],[0,1262,2,0,0,1],[0,1262,3,0,0,1],[0,1262,4,0,0,1],[0,1262,5,0,0,1],[0,1262,6,0,0,1],[0,1262,7,0,0,1],[0,1262,8,0,0,1],[0,1262,9,0,0,1],[0,239,1,0,0,1],[0,239,2,0,0,1],[0,239,3,0,0,1],[0,239,4,0,0,1],[0,239,5,0,0,1],[0,239,6,0,0,1],[0,239,7,0,0,1],[0,239,8,0,0,1],[0,239,9,0,0,1],[0,751,1,0,0,1],[0,751,2,0,0,1],[0,751,3,0,0,1],[0,751,4,0,0,1],[0,751,5,0,0,1],[0,751,6,0,0,1],[0,751,7,0,0,1],[0,751,8,0,0,1],[0,751,9,0,0,1],[0,240,1,0,0,1],[0,240,2,0,0,1],[0,240,3,0,0,1],[0,240,4,0,0,1],[0,240,5,0,0,1],[0,240,6,0,0,1],[0,240,7,0,0,1],[0,240,8,0,0,1],[0,240,9,0,0,1],[0,8432,1,0,0,1],[0,8432,2,0,0,1],[0,8432,3,0,0,1],[0,8432,4,0,0,1],[0,8432,5,0,0,1],[0,8432,6,0,0,1],[0,8432,7,0,0,1],[0,8432,8,0,0,1],[0,8432,9,0,0,1],[0,241,1,0,0,1],[0,241,2,0,0,1],[0,241,3,0,0,1],[0,241,4,0,0,1],[0,241,5,0,0,1],[0,241,6,0,0,1],[0,241,7,0,0,1],[0,241,8,0,0,1],[0,241,9,0,0,1],[0,753,1,0,0,1],[0,753,2,0,0,1],[0,753,3,0,0,1],[0,753,4,0,0,1],[0,753,5,0,0,1],[0,753,6,0,0,1],[0,753,7,0,0,1],[0,753,8,0,0,1],[0,753,9,0,0,1],[0,242,1,0,0,1],[0,242,2,0,0,1],[0,242,3,0,0,1],[0,242,4,0,0,1],[0,242,5,0,0,1],[0,242,6,0,0,1],[0,242,7,0,0,1],[0,242,8,0,0,1],[0,242,9,0,0,1],[0,1266,1,0,0,1],[0,1266,2,0,0,1],[0,1266,3,0,0,1],[0,1266,4,0,0,1],[0,1266,5,0,0,1],[0,1266,6,0,0,1],[0,1266,7,0,0,1],[0,1266,8,0,0,1],[0,1266,9,0,0,1],[0,243,1,0,0,1],[0,243,2,0,0,1],[0,243,3,0,0,1],[0,243,4,0,0,1],[0,243,5,0,0,1],[0,243,6,0,0,1],[0,243,7,0,0,1],[0,243,8,0,0,1],[0,243,9,0,0,1],[0,755,1,0,0,1],[0,755,2,0,0,1],[0,755,3,0,0,1],[0,755,4,0,0,1],[0,755,5,0,0,1],[0,755,6,0,0,1],[0,755,7,0,0,1],[0,755,8,0,0,1],[0,755,9,0,0,1],[0,244,1,0,0,1],[0,244,2,0,0,1],[0,244,3,0,0,1],[0,244,4,0,0,1],[0,244,5,0,0,1],[0,244,6,0,0,1],[0,244,7,0,0,1],[0,244,8,0,0,1],[0,244,9,0,0,1],[0,2292,1,0,0,1],[0,2292,2,0,0,1],[0,2292,3,0,0,1],[0,2292,4,0,0,1],[0,2292,5,0,0,1],[0,2292,6,0,0,1],[0,2292,7,0,0,1],[0,2292,8,0,0,1],[0,2292,9,0,0,1],[0,245,1,0,0,1],[0,245,2,0,0,1],[0,245,3,0,0,1],[0,245,4,0,0,1],[0,245,5,0,0,1],[0,245,6,0,0,1],[0,245,7,0,0,1],[0,245,8,0,0,1],[0,245,9,0,0,1],[0,757,1,0,0,1],[0,757,2,0,0,1],[0,757,3,0,0,1],[0,757,4,0,0,1],[0,757,5,0,0,1],[0,757,6,0,0,1],[0,757,7,0,0,1],[0,757,8,0,0,1],[0,757,9,0,0,1],[0,246,1,0,0,1],[0,246,2,0,0,1],[0,246,3,0,0,1],[0,246,4,0,0,1],[0,246,5,0,0,1],[0,246,6,0,0,1],[0,246,7,0,0,1],[0,246,8,0,0,1],[0,246,9,0,0,1],[0,1270,1,0,0,1],[0,1270,2,0,0,1],[0,1270,3,0,0,1],[0,1270,4,0,0,1],[0,1270,5,0,0,1],[0,1270,6,0,0,1],[0,1270,7,0,0,1],[0,1270,8,0,0,1],[0,1270,9,0,0,1],[0,247,1,0,0,1],[0,247,2,0,0,1],[0,247,3,0,0,1],[0,247,4,0,0,1],[0,247,5,0,0,1],[0,247,6,0,0,1],[0,247,7,0,0,1],[0,247,8,0,0,1],[0,247,9,0,0,1],[0,759,1,0,0,1],[0,759,2,0,0,1],[0,759,3,0,0,1],[0,759,4,0,0,1],[0,759,5,0,0,1],[0,759,6,0,0,1],[0,759,7,0,0,1],[0,759,8,0,0,1],[0,759,9,0,0,1],[0,248,1,0,0,1],[0,248,2,0,0,1],[0,248,3,0,0,1],[0,248,4,0,0,1],[0,248,5,0,0,1],[0,248,6,0,0,1],[0,248,7,0,0,1],[0,248,8,0,0,1],[0,248,9,0,0,1],[0,4344,1,0,0,1],[0,4344,2,0,0,1],[0,4344,3,0,0,1],[0,4344,4,0,0,1],[0,4344,5,0,0,1],[0,4344,6,0,0,1],[0,4344,7,0,0,1],[0,4344,8,0,0,1],[0,4344,9,0,0,1],[0,249,1,0,0,1],[0,249,2,0,0,1],[0,249,3,0,0,1],[0,249,4,0,0,1],[0,249,5,0,0,1],[0,249,6,0,0,1],[0,249,7,0,0,1],[0,249,8,0,0,1],[0,249,9,0,0,1],[0,761,1,0,0,1],[0,761,2,0,0,1],[0,761,3,0,0,1],[0,761,4,0,0,1],[0,761,5,0,0,1],[0,761,6,0,0,1],[0,761,7,0,0,1],[0,761,8,0,0,1],[0,761,9,0,0,1],[0,250,1,0,0,1],[0,250,2,0,0,1],[0,250,3,0,0,1],[0,250,4,0,0,1],[0,250,5,0,0,1],[0,250,6,0,0,1],[0,250,7,0,0,1],[0,250,8,0,0,1],[0,250,9,0,0,1],[0,1274,1,0,0,1],[0,1274,2,0,0,1],[0,1274,3,0,0,1],[0,1274,4,0,0,1],[0,1274,5,0,0,1],[0,1274,6,0,0,1],[0,1274,7,0,0,1],[0,1274,8,0,0,1],[0,1274,9,0,0,1],[0,251,1,0,0,1],[0,251,2,0,0,1],[0,251,3,0,0,1],[0,251,4,0,0,1],[0,251,5,0,0,1],[0,251,6,0,0,1],[0,251,7,0,0,1],[0,251,8,0,0,1],[0,251,9,0,0,1],[0,763,1,0,0,1],[0,763,2,0,0,1],[0,763,3,0,0,1],[0,763,4,0,0,1],[0,763,5,0,0,1],[0,763,6,0,0,1],[0,763,7,0,0,1],[0,763,8,0,0,1],[0,763,9,0,0,1],[0,252,1,0,0,1],[0,252,2,0,0,1],[0,252,3,0,0,1],[0,252,4,0,0,1],[0,252,5,0,0,1],[0,252,6,0,0,1],[0,252,7,0,0,1],[0,252,8,0,0,1],[0,252,9,0,0,1],[0,2300,1,0,0,1],[0,2300,2,0,0,1],[0,2300,3,0,0,1],[0,2300,4,0,0,1],[0,2300,5,0,0,1],[0,2300,6,0,0,1],[0,2300,7,0,0,1],[0,2300,8,0,0,1],[0,2300,9,0,0,1],[0,253,1,0,0,1],[0,253,2,0,0,1],[0,253,3,0,0,1],[0,253,4,0,0,1],[0,253,5,0,0,1],[0,253,6,0,0,1],[0,253,7,0,0,1],[0,253,8,0,0,1],[0,253,9,0,0,1],[0,765,1,0,0,1],[0,765,2,0,0,1],[0,765,3,0,0,1],[0,765,4,0,0,1],[0,765,5,0,0,1],[0,765,6,0,0,1],[0,765,7,0,0,1],[0,765,8,0,0,1],[0,765,9,0,0,1],[0,254,1,0,0,1],[0,254,2,0,0,1],[0,254,3,0,0,1],[0,254,4,0,0,1],[0,254,5,0,0,1],[0,254,6,0,0,1],[0,254,7,0,0,1],[0,254,8,0,0,1],[0,254,9,0,0,1],[0,1278,1,0,0,1],[0,1278,2,0,0,1],[0,1278,3,0,0,1],[0,1278,4,0,0,1],[0,1278,5,0,0,1],[0,1278,6,0,0,1],[0,1278,7,0,0,1],[0,1278,8,0,0,1],[0,1278,9,0,0,1],[0,255,1,0,0,1],[0,255,2,0,0,1],[0,255,3,0,0,1],[0,255,4,0,0,1],[0,255,5,0,0,1],[0,255,6,0,0,1],[0,255,7,0,0,1],[0,255,8,0,0,1],[0,255,9,0,0,1],[0,767,1,0,0,1],[0,767,2,0,0,1],[0,767,3,0,0,1],[0,767,4,0,0,1],[0,767,5,0,0,1],[0,767,6,0,0,1],[0,767,7,0,0,1],[0,767,8,0,0,1],[0,767,9,0,0,1],[0,256,1,0,0,1],[0,256,2,0,0,1],[0,256,3,0,0,1],[0,256,4,0,0,1],[0,256,5,0,0,1],[0,256,6,0,0,1],[0,256,7,0,0,1],[0,256,8,0,0,1],[0,256,9,0,0,1],[0,131328,1,0,0,1],[0,131328,2,0,0,1],[0,131328,3,0,0,1],[0,131328,4,0,0,1],[0,131328,5,0,0,1],[0,131328,6,0,0,1],[0,131328,7,0,0,1],[0,131328,8,0,0,1],[0,131328,9,0,0,1],[0,257,1,0,0,1],[0,257,2,0,0,1],[0,257,3,0,0,1],[0,257,4,0,0,1],[0,257,5,0,0,1],[0,257,6,0,0,1],[0,257,7,0,0,1],[0,257,8,0,0,1],[0,257,9,0,0,1],[0,769,1,0,0,1],[0,769,2,0,0,1],[0,769,3,0,0,1],[0,769,4,0,0,1],[0,769,5,0,0,1],[0,769,6,0,0,1],[0,769,7,0,0,1],[0,769,8,0,0,1],[0,769,9,0,0,1],[0,258,1,0,0,1],[0,258,2,0,0,1],[0,258,3,0,0,1],[0,258,4,0,0,1],[0,258,5,0,0,1],[0,258,6,0,0,1],[0,258,7,0,0,1],[0,258,8,0,0,1],[0,258,9,0,0,1],[0,1282,1,0,0,1],[0,1282,2,0,0,1],[0,1282,3,0,0,1],[0,1282,4,0,0,1],[0,1282,5,0,0,1],[0,1282,6,0,0,1],[0,1282,7,0,0,1],[0,1282,8,0,0,1],[0,1282,9,0,0,1],[0,259,1,0,0,1],[0,259,2,0,0,1],[0,259,3,0,0,1],[0,259,4,0,0,1],[0,259,5,0,0,1],[0,259,6,0,0,1],[0,259,7,0,0,1],[0,259,8,0,0,1],[0,259,9,0,0,1],[0,771,1,0,0,1],[0,771,2,0,0,1],[0,771,3,0,0,1],[0,771,4,0,0,1],[0,771,5,0,0,1],[0,771,6,0,0,1],[0,771,7,0,0,1],[0,771,8,0,0,1],[0,771,9,0,0,1],[0,260,1,0,0,1],[0,260,2,0,0,1],[0,260,3,0,0,1],[0,260,4,0,0,1],[0,260,5,0,0,1],[0,260,6,0,0,1],[0,260,7,0,0,1],[0,260,8,0,0,1],[0,260,9,0,0,1],[0,2308,1,0,0,1],[0,2308,2,0,0,1],[0,2308,3,0,0,1],[0,2308,4,0,0,1],[0,2308,5,0,0,1],[0,2308,6,0,0,1],[0,2308,7,0,0,1],[0,2308,8,0,0,1],[0,2308,9,0,0,1],[0,261,1,0,0,1],[0,261,2,0,0,1],[0,261,3,0,0,1],[0,261,4,0,0,1],[0,261,5,0,0,1],[0,261,6,0,0,1],[0,261,7,0,0,1],[0,261,8,0,0,0],[0,261,9,0,0,0],[0,773,1,0,0,1],[0,773,2,0,0,1],[0,773,3,0,0,1],[0,773,4,0,0,1],[0,773,5,0,0,1],[0,773,6,0,0,1],[0,773,7,0,0,1],[0,773,8,0,0,1],[0,773,9,0,0,1],[0,262,1,0,0,1],[0,262,2,0,0,1],[0,262,3,0,0,1],[0,262,4,0,0,1],[0,262,5,0,0,1],[0,262,6,0,0,1],[0,262,7,0,0,1],[0,262,8,0,0,1],[0,262,9,0,0,1],[0,1286,1,0,0,1],[0,1286,2,0,0,1],[0,1286,3,0,0,1],[0,1286,4,0,0,1],[0,1286,5,0,0,1],[0,1286,6,0,0,1],[0,1286,7,0,0,1],[0,1286,8,0,0,1],[0,1286,9,0,0,1],[0,263,1,0,0,1],[0,263,2,0,0,1],[0,263,3,0,0,1],[0,263,4,0,0,1],[0,263,5,0,0,1],[0,263,6,0,0,1],[0,263,7,0,0,1],[0,263,8,0,0,1],[0,263,9,0,0,1],[0,775,1,0,0,1],[0,775,2,0,0,1],[0,775,3,0,0,1],[0,775,4,0,0,1],[0,775,5,0,0,1],[0,775,6,0,0,1],[0,775,7,0,0,1],[0,775,8,0,0,1],[0,775,9,0,0,1],[0,264,1,0,0,1],[0,264,2,0,0,1],[0,264,3,0,0,1],[0,264,4,0,0,1],[0,264,5,0,0,1],[0,264,6,0,0,1],[0,264,7,0,0,1],[0,264,8,0,0,1],[0,264,9,0,0,1],[0,4360,1,0,0,1],[0,4360,2,0,0,1],[0,4360,3,0,0,1],[0,4360,4,0,0,1],[0,4360,5,0,0,1],[0,4360,6,0,0,1],[0,4360,7,0,0,1],[0,4360,8,0,0,1],[0,4360,9,0,0,1],[0,265,1,0,0,1],[0,265,2,0,0,1],[0,265,3,0,0,1],[0,265,4,0,0,1],[0,265,5,0,0,1],[0,265,6,0,0,1],[0,265,7,0,0,1],[0,265,8,0,0,1],[0,265,9,0,0,1],[0,777,1,0,0,1],[0,777,2,0,0,1],[0,777,3,0,0,1],[0,777,4,0,0,1],[0,777,5,0,0,1],[0,777,6,0,0,1],[0,777,7,0,0,1],[0,777,8,0,0,1],[0,777,9,0,0,1],[0,266,1,0,0,1],[0,266,2,0,0,1],[0,266,3,0,0,1],[0,266,4,0,0,1],[0,266,5,0,0,1],[0,266,6,0,0,1],[0,266,7,0,0,1],[0,266,8,0,0,1],[0,266,9,0,0,1],[0,1290,1,0,0,1],[0,1290,2,0,0,1],[0,1290,3,0,0,1],[0,1290,4,0,0,1],[0,1290,5,0,0,1],[0,1290,6,0,0,1],[0,1290,7,0,0,1],[0,1290,8,0,0,1],[0,1290,9,0,0,1],[0,267,1,0,0,1],[0,267,2,0,0,1],[0,267,3,0,0,1],[0,267,4,0,0,1],[0,267,5,0,0,1],[0,267,6,0,0,1],[0,267,7,0,0,1],[0,267,8,0,0,1],[0,267,9,0,0,1],[0,779,1,0,0,1],[0,779,2,0,0,1],[0,779,3,0,0,1],[0,779,4,0,0,1],[0,779,5,0,0,1],[0,779,6,0,0,1],[0,779,7,0,0,1],[0,779,8,0,0,1],[0,779,9,0,0,1],[0,268,1,0,0,1],[0,268,2,0,0,1],[0,268,3,0,0,1],[0,268,4,0,0,1],[0,268,5,0,0,1],[0,268,6,0,0,1],[0,268,7,0,0,1],[0,268,8,0,0,1],[0,268,9,0,0,1],[0,2316,1,0,0,1],[0,2316,2,0,0,1],[0,2316,3,0,0,1],[0,2316,4,0,0,1],[0,2316,5,0,0,1],[0,2316,6,0,0,1],[0,2316,7,0,0,1],[0,2316,8,0,0,1],[0,2316,9,0,0,1],[0,269,1,0,0,1],[0,269,2,0,0,1],[0,269,3,0,0,1],[0,269,4,0,0,1],[0,269,5,0,0,1],[0,269,6,0,0,1],[0,269,7,0,0,1],[0,269,8,0,0,1],[0,269,9,0,0,1],[0,781,1,0,0,1],[0,781,2,0,0,1],[0,781,3,0,0,1],[0,781,4,0,0,1],[0,781,5,0,0,1],[0,781,6,0,0,1],[0,781,7,0,0,1],[0,781,8,0,0,1],[0,781,9,0,0,1],[0,270,1,0,0,1],[0,270,2,0,0,1],[0,270,3,0,0,1],[0,270,4,0,0,1],[0,270,5,0,0,1],[0,270,6,0,0,1],[0,270,7,0,0,1],[0,270,8,0,0,1],[0,270,9,0,0,1],[0,1294,1,0,0,1],[0,1294,2,0,0,1],[0,1294,3,0,0,1],[0,1294,4,0,0,1],[0,1294,5,0,0,1],[0,1294,6,0,0,1],[0,1294,7,0,0,1],[0,1294,8,0,0,1],[0,1294,9,0,0,1],[0,271,1,0,0,1],[0,271,2,0,0,1],[0,271,3,0,0,1],[0,271,4,0,0,1],[0,271,5,0,0,1],[0,271,6,0,0,1],[0,271,7,0,0,1],[0,271,8,0,0,1],[0,271,9,0,0,1],[0,783,1,0,0,1],[0,783,2,0,0,1],[0,783,3,0,0,1],[0,783,4,0,0,1],[0,783,5,0,0,1],[0,783,6,0,0,1],[0,783,7,0,0,1],[0,783,8,0,0,1],[0,783,9,0,0,1],[0,272,1,0,0,1],[0,272,2,0,0,1],[0,272,3,0,0,1],[0,272,4,0,0,1],[0,272,5,0,0,1],[0,272,6,0,0,1],[0,272,7,0,0,1],[0,272,8,0,0,1],[0,272,9,0,0,1],[0,8464,1,0,0,1],[0,8464,2,0,0,1],[0,8464,3,0,0,1],[0,8464,4,0,0,1],[0,8464,5,0,0,1],[0,8464,6,0,0,1],[0,8464,7,0,0,1],[0,8464,8,0,0,1],[0,8464,9,0,0,1],[0,273,1,0,0,1],[0,273,2,0,0,1],[0,273,3,0,0,1],[0,273,4,0,0,1],[0,273,5,0,0,1],[0,273,6,0,0,1],[0,273,7,0,0,1],[0,273,8,0,0,1],[0,273,9,0,0,1],[0,785,1,0,0,1],[0,785,2,0,0,1],[0,785,3,0,0,1],[0,785,4,0,0,1],[0,785,5,0,0,1],[0,785,6,0,0,1],[0,785,7,0,0,1],[0,785,8,0,0,1],[0,785,9,0,0,1],[0,274,1,0,0,1],[0,274,2,0,0,1],[0,274,3,0,0,1],[0,274,4,0,0,1],[0,274,5,0,0,1],[0,274,6,0,0,1],[0,274,7,0,0,1],[0,274,8,0,0,1],[0,274,9,0,0,1],[0,1298,1,0,0,1],[0,1298,2,0,0,1],[0,1298,3,0,0,1],[0,1298,4,0,0,1],[0,1298,5,0,0,1],[0,1298,6,0,0,1],[0,1298,7,0,0,1],[0,1298,8,0,0,1],[0,1298,9,0,0,1],[0,275,1,0,0,1],[0,275,2,0,0,1],[0,275,3,0,0,1],[0,275,4,0,0,1],[0,275,5,0,0,1],[0,275,6,0,0,1],[0,275,7,0,0,1],[0,275,8,0,0,1],[0,275,9,0,0,1],[0,787,1,0,0,1],[0,787,2,0,0,1],[0,787,3,0,0,1],[0,787,4,0,0,1],[0,787,5,0,0,1],[0,787,6,0,0,1],[0,787,7,0,0,1],[0,787,8,0,0,1],[0,787,9,0,0,1],[0,276,1,0,0,1],[0,276,2,0,0,1],[0,276,3,0,0,1],[0,276,4,0,0,1],[0,276,5,0,0,1],[0,276,6,0,0,1],[0,276,7,0,0,1],[0,276,8,0,0,1],[0,276,9,0,0,1],[0,2324,1,0,0,1],[0,2324,2,0,0,1],[0,2324,3,0,0,1],[0,2324,4,0,0,1],[0,2324,5,0,0,1],[0,2324,6,0,0,1],[0,2324,7,0,0,1],[0,2324,8,0,0,1],[0,2324,9,0,0,1],[0,277,1,0,0,1],[0,277,2,0,0,1],[0,277,3,0,0,1],[0,277,4,0,0,1],[0,277,5,0,0,1],[0,277,6,0,0,1],[0,277,7,0,0,1],[0,277,8,0,0,1],[0,277,9,0,0,1],[0,789,1,0,0,1],[0,789,2,0,0,1],[0,789,3,0,0,1],[0,789,4,0,0,1],[0,789,5,0,0,1],[0,789,6,0,0,1],[0,789,7,0,0,1],[0,789,8,0,0,1],[0,789,9,0,0,1],[0,278,1,0,0,1],[0,278,2,0,0,1],[0,278,3,0,0,1],[0,278,4,0,0,1],[0,278,5,0,0,1],[0,278,6,0,0,1],[0,278,7,0,0,1],[0,278,8,0,0,1],[0,278,9,0,0,1],[0,1302,1,0,0,1],[0,1302,2,0,0,1],[0,1302,3,0,0,1],[0,1302,4,0,0,1],[0,1302,5,0,0,1],[0,1302,6,0,0,1],[0,1302,7,0,0,1],[0,1302,8,0,0,1],[0,1302,9,0,0,1],[0,279,1,0,0,1],[0,279,2,0,0,1],[0,279,3,0,0,1],[0,279,4,0,0,1],[0,279,5,0,0,1],[0,279,6,0,0,1],[0,279,7,0,0,1],[0,279,8,0,0,1],[0,279,9,0,0,1],[0,791,1,0,0,1],[0,791,2,0,0,1],[0,791,3,0,0,1],[0,791,4,0,0,1],[0,791,5,0,0,1],[0,791,6,0,0,1],[0,791,7,0,0,1],[0,791,8,0,0,1],[0,791,9,0,0,1],[0,280,1,0,0,1],[0,280,2,0,0,1],[0,280,3,0,0,1],[0,280,4,0,0,1],[0,280,5,0,0,1],[0,280,6,0,0,1],[0,280,7,0,0,1],[0,280,8,0,0,1],[0,280,9,0,0,1],[0,4376,1,0,0,1],[0,4376,2,0,0,1],[0,4376,3,0,0,1],[0,4376,4,0,0,1],[0,4376,5,0,0,1],[0,4376,6,0,0,1],[0,4376,7,0,0,1],[0,4376,8,0,0,1],[0,4376,9,0,0,1],[0,281,1,0,0,1],[0,281,2,0,0,1],[0,281,3,0,0,1],[0,281,4,0,0,1],[0,281,5,0,0,1],[0,281,6,0,0,1],[0,281,7,0,0,1],[0,281,8,0,0,1],[0,281,9,0,0,1],[0,793,1,0,0,1],[0,793,2,0,0,1],[0,793,3,0,0,1],[0,793,4,0,0,1],[0,793,5,0,0,1],[0,793,6,0,0,1],[0,793,7,0,0,1],[0,793,8,0,0,1],[0,793,9,0,0,1],[0,282,1,0,0,1],[0,282,2,0,0,1],[0,282,3,0,0,1],[0,282,4,0,0,1],[0,282,5,0,0,1],[0,282,6,0,0,1],[0,282,7,0,0,1],[0,282,8,0,0,1],[0,282,9,0,0,1],[0,1306,1,0,0,1],[0,1306,2,0,0,1],[0,1306,3,0,0,1],[0,1306,4,0,0,1],[0,1306,5,0,0,1],[0,1306,6,0,0,1],[0,1306,7,0,0,1],[0,1306,8,0,0,1],[0,1306,9,0,0,1],[0,283,1,0,0,1],[0,283,2,0,0,1],[0,283,3,0,0,1],[0,283,4,0,0,1],[0,283,5,0,0,1],[0,283,6,0,0,1],[0,283,7,0,0,1],[0,283,8,0,0,1],[0,283,9,0,0,1],[0,795,1,0,0,1],[0,795,2,0,0,1],[0,795,3,0,0,1],[0,795,4,0,0,1],[0,795,5,0,0,1],[0,795,6,0,0,1],[0,795,7,0,0,1],[0,795,8,0,0,1],[0,795,9,0,0,1],[0,284,1,0,0,1],[0,284,2,0,0,1],[0,284,3,0,0,1],[0,284,4,0,0,1],[0,284,5,0,0,1],[0,284,6,0,0,1],[0,284,7,0,0,1],[0,284,8,0,0,1],[0,284,9,0,0,1],[0,2332,1,0,0,1],[0,2332,2,0,0,1],[0,2332,3,0,0,1],[0,2332,4,0,0,1],[0,2332,5,0,0,1],[0,2332,6,0,0,1],[0,2332,7,0,0,1],[0,2332,8,0,0,1],[0,2332,9,0,0,1],[0,285,1,0,0,1],[0,285,2,0,0,1],[0,285,3,0,0,1],[0,285,4,0,0,1],[0,285,5,0,0,1],[0,285,6,0,0,1],[0,285,7,0,0,1],[0,285,8,0,0,1],[0,285,9,0,0,1],[0,797,1,0,0,1],[0,797,2,0,0,1],[0,797,3,0,0,1],[0,797,4,0,0,1],[0,797,5,0,0,1],[0,797,6,0,0,1],[0,797,7,0,0,1],[0,797,8,0,0,1],[0,797,9,0,0,1],[0,286,1,0,0,1],[0,286,2,0,0,1],[0,286,3,0,0,1],[0,286,4,0,0,1],[0,286,5,0,0,1],[0,286,6,0,0,1],[0,286,7,0,0,1],[0,286,8,0,0,1],[0,286,9,0,0,1],[0,1310,1,0,0,1],[0,1310,2,0,0,1],[0,1310,3,0,0,1],[0,1310,4,0,0,1],[0,1310,5,0,0,1],[0,1310,6,0,0,1],[0,1310,7,0,0,1],[0,1310,8,0,0,1],[0,1310,9,0,0,1],[0,287,1,0,0,1],[0,287,2,0,0,1],[0,287,3,0,0,1],[0,287,4,0,0,1],[0,287,5,0,0,1],[0,287,6,0,0,1],[0,287,7,0,0,1],[0,287,8,0,0,1],[0,287,9,0,0,1],[0,799,1,0,0,1],[0,799,2,0,0,1],[0,799,3,0,0,1],[0,799,4,0,0,1],[0,799,5,0,0,1],[0,799,6,0,0,1],[0,799,7,0,0,1],[0,799,8,0,0,1],[0,799,9,0,0,1],[0,288,1,0,0,1],[0,288,2,0,0,1],[0,288,3,0,0,1],[0,288,4,0,0,1],[0,288,5,0,0,1],[0,288,6,0,0,1],[0,288,7,0,0,1],[0,288,8,0,0,1],[0,288,9,0,0,1],[0,16672,1,0,0,1],[0,16672,2,0,0,1],[0,16672,3,0,0,1],[0,16672,4,0,0,1],[0,16672,5,0,0,1],[0,16672,6,0,0,1],[0,16672,7,0,0,1],[0,16672,8,0,0,1],[0,16672,9,0,0,1],[0,289,1,0,0,1],[0,289,2,0,0,1],[0,289,3,0,0,1],[0,289,4,0,0,1],[0,289,5,0,0,1],[0,289,6,0,0,1],[0,289,7,0,0,1],[0,289,8,0,0,1],[0,289,9,0,0,1],[0,801,1,0,0,1],[0,801,2,0,0,1],[0,801,3,0,0,1],[0,801,4,0,0,1],[0,801,5,0,0,1],[0,801,6,0,0,1],[0,801,7,0,0,1],[0,801,8,0,0,1],[0,801,9,0,0,1],[0,290,1,0,0,1],[0,290,2,0,0,1],[0,290,3,0,0,1],[0,290,4,0,0,1],[0,290,5,0,0,1],[0,290,6,0,0,1],[0,290,7,0,0,1],[0,290,8,0,0,1],[0,290,9,0,0,1],[0,1314,1,0,0,1],[0,1314,2,0,0,1],[0,1314,3,0,0,1],[0,1314,4,0,0,1],[0,1314,5,0,0,1],[0,1314,6,0,0,1],[0,1314,7,0,0,1],[0,1314,8,0,0,1],[0,1314,9,0,0,1],[0,291,1,0,0,1],[0,291,2,0,0,1],[0,291,3,0,0,1],[0,291,4,0,0,1],[0,291,5,0,0,1],[0,291,6,0,0,1],[0,291,7,0,0,1],[0,291,8,0,0,1],[0,291,9,0,0,1],[0,803,1,0,0,1],[0,803,2,0,0,1],[0,803,3,0,0,1],[0,803,4,0,0,1],[0,803,5,0,0,1],[0,803,6,0,0,1],[0,803,7,0,0,1],[0,803,8,0,0,1],[0,803,9,0,0,1],[0,292,1,0,0,1],[0,292,2,0,0,1],[0,292,3,0,0,1],[0,292,4,0,0,1],[0,292,5,0,0,1],[0,292,6,0,0,1],[0,292,7,0,0,1],[0,292,8,0,0,1],[0,292,9,0,0,1],[0,2340,1,0,0,1],[0,2340,2,0,0,1],[0,2340,3,0,0,1],[0,2340,4,0,0,1],[0,2340,5,0,0,1],[0,2340,6,0,0,1],[0,2340,7,0,0,1],[0,2340,8,0,0,1],[0,2340,9,0,0,1],[0,293,1,0,0,1],[0,293,2,0,0,1],[0,293,3,0,0,1],[0,293,4,0,0,1],[0,293,5,0,0,1],[0,293,6,0,0,1],[0,293,7,0,0,1],[0,293,8,0,0,1],[0,293,9,0,0,1],[0,805,1,0,0,1],[0,805,2,0,0,1],[0,805,3,0,0,1],[0,805,4,0,0,1],[0,805,5,0,0,1],[0,805,6,0,0,1],[0,805,7,0,0,1],[0,805,8,0,0,1],[0,805,9,0,0,1],[0,294,1,0,0,1],[0,294,2,0,0,1],[0,294,3,0,0,1],[0,294,4,0,0,1],[0,294,5,0,0,1],[0,294,6,0,0,1],[0,294,7,0,0,1],[0,294,8,0,0,1],[0,294,9,0,0,1],[0,1318,1,0,0,1],[0,1318,2,0,0,1],[0,1318,3,0,0,1],[0,1318,4,0,0,1],[0,1318,5,0,0,1],[0,1318,6,0,0,1],[0,1318,7,0,0,1],[0,1318,8,0,0,1],[0,1318,9,0,0,1],[0,295,1,0,0,1],[0,295,2,0,0,1],[0,295,3,0,0,1],[0,295,4,0,0,1],[0,295,5,0,0,1],[0,295,6,0,0,1],[0,295,7,0,0,1],[0,295,8,0,0,1],[0,295,9,0,0,1],[0,807,1,0,0,1],[0,807,2,0,0,1],[0,807,3,0,0,1],[0,807,4,0,0,1],[0,807,5,0,0,1],[0,807,6,0,0,1],[0,807,7,0,0,1],[0,807,8,0,0,1],[0,807,9,0,0,1],[0,296,1,0,0,1],[0,296,2,0,0,1],[0,296,3,0,0,1],[0,296,4,0,0,1],[0,296,5,0,0,1],[0,296,6,0,0,1],[0,296,7,0,0,1],[0,296,8,0,0,0],[0,296,9,0,0,0],[0,4392,1,0,0,1],[0,4392,2,0,0,1],[0,4392,3,0,0,1],[0,4392,4,0,0,1],[0,4392,5,0,0,1],[0,4392,6,0,0,1],[0,4392,7,0,0,1],[0,4392,8,0,0,1],[0,4392,9,0,0,1],[0,297,1,0,0,1],[0,297,2,0,0,1],[0,297,3,0,0,1],[0,297,4,0,0,1],[0,297,5,0,0,1],[0,297,6,0,0,1],[0,297,7,0,0,1],[0,297,8,0,0,1],[0,297,9,0,0,1],[0,809,1,0,0,1],[0,809,2,0,0,1],[0,809,3,0,0,1],[0,809,4,0,0,1],[0,809,5,0,0,1],[0,809,6,0,0,1],[0,809,7,0,0,1],[0,809,8,0,0,1],[0,809,9,0,0,1],[0,298,1,0,0,1],[0,298,2,0,0,1],[0,298,3,0,0,1],[0,298,4,0,0,1],[0,298,5,0,0,1],[0,298,6,0,0,1],[0,298,7,0,0,1],[0,298,8,0,0,1],[0,298,9,0,0,1],[0,1322,1,0,0,1],[0,1322,2,0,0,1],[0,1322,3,0,0,1],[0,1322,4,0,0,1],[0,1322,5,0,0,1],[0,1322,6,0,0,1],[0,1322,7,0,0,1],[0,1322,8,0,0,1],[0,1322,9,0,0,1],[0,299,1,0,0,1],[0,299,2,0,0,1],[0,299,3,0,0,1],[0,299,4,0,0,1],[0,299,5,0,0,1],[0,299,6,0,0,1],[0,299,7,0,0,1],[0,299,8,0,0,1],[0,299,9,0,0,1],[0,811,1,0,0,1],[0,811,2,0,0,1],[0,811,3,0,0,1],[0,811,4,0,0,1],[0,811,5,0,0,1],[0,811,6,0,0,1],[0,811,7,0,0,1],[0,811,8,0,0,1],[0,811,9,0,0,1],[0,300,1,0,0,1],[0,300,2,0,0,1],[0,300,3,0,0,1],[0,300,4,0,0,1],[0,300,5,0,0,1],[0,300,6,0,0,1],[0,300,7,0,0,1],[0,300,8,0,0,1],[0,300,9,0,0,1],[0,2348,1,0,0,1],[0,2348,2,0,0,1],[0,2348,3,0,0,1],[0,2348,4,0,0,1],[0,2348,5,0,0,1],[0,2348,6,0,0,1],[0,2348,7,0,0,1],[0,2348,8,0,0,1],[0,2348,9,0,0,1],[0,301,1,0,0,1],[0,301,2,0,0,1],[0,301,3,0,0,1],[0,301,4,0,0,1],[0,301,5,0,0,1],[0,301,6,0,0,1],[0,301,7,0,0,1],[0,301,8,0,0,1],[0,301,9,0,0,1],[0,813,1,0,0,1],[0,813,2,0,0,1],[0,813,3,0,0,1],[0,813,4,0,0,1],[0,813,5,0,0,1],[0,813,6,0,0,1],[0,813,7,0,0,1],[0,813,8,0,0,1],[0,813,9,0,0,1],[0,302,1,0,0,1],[0,302,2,0,0,1],[0,302,3,0,0,1],[0,302,4,0,0,1],[0,302,5,0,0,1],[0,302,6,0,0,1],[0,302,7,0,0,1],[0,302,8,0,0,1],[0,302,9,0,0,1],[0,1326,1,0,0,1],[0,1326,2,0,0,1],[0,1326,3,0,0,1],[0,1326,4,0,0,1],[0,1326,5,0,0,1],[0,1326,6,0,0,1],[0,1326,7,0,0,1],[0,1326,8,0,0,1],[0,1326,9,0,0,1],[0,303,1,0,0,1],[0,303,2,0,0,1],[0,303,3,0,0,1],[0,303,4,0,0,1],[0,303,5,0,0,1],[0,303,6,0,0,1],[0,303,7,0,0,1],[0,303,8,0,0,1],[0,303,9,0,0,1],[0,815,1,0,0,1],[0,815,2,0,0,1],[0,815,3,0,0,1],[0,815,4,0,0,1],[0,815,5,0,0,1],[0,815,6,0,0,1],[0,815,7,0,0,1],[0,815,8,0,0,1],[0,815,9,0,0,1],[0,304,1,0,0,1],[0,304,2,0,0,1],[0,304,3,0,0,1],[0,304,4,0,0,1],[0,304,5,0,0,1],[0,304,6,0,0,1],[0,304,7,0,0,1],[0,304,8,0,0,1],[0,304,9,0,0,1],[0,8496,1,0,0,1],[0,8496,2,0,0,1],[0,8496,3,0,0,1],[0,8496,4,0,0,1],[0,8496,5,0,0,1],[0,8496,6,0,0,1],[0,8496,7,0,0,1],[0,8496,8,0,0,1],[0,8496,9,0,0,1],[0,305,1,0,0,1],[0,305,2,0,0,1],[0,305,3,0,0,1],[0,305,4,0,0,1],[0,305,5,0,0,1],[0,305,6,0,0,1],[0,305,7,0,0,1],[0,305,8,0,0,1],[0,305,9,0,0,1],[0,817,1,0,0,1],[0,817,2,0,0,1],[0,817,3,0,0,1],[0,817,4,0,0,1],[0,817,5,0,0,1],[0,817,6,0,0,1],[0,817,7,0,0,1],[0,817,8,0,0,1],[0,817,9,0,0,1],[0,306,1,0,0,1],[0,306,2,0,0,1],[0,306,3,0,0,1],[0,306,4,0,0,1],[0,306,5,0,0,1],[0,306,6,0,0,1],[0,306,7,0,0,1],[0,306,8,0,0,1],[0,306,9,0,0,1],[0,1330,1,0,0,1],[0,1330,2,0,0,1],[0,1330,3,0,0,1],[0,1330,4,0,0,1],[0,1330,5,0,0,1],[0,1330,6,0,0,1],[0,1330,7,0,0,1],[0,1330,8,0,0,1],[0,1330,9,0,0,1],[0,307,1,0,0,1],[0,307,2,0,0,1],[0,307,3,0,0,1],[0,307,4,0,0,1],[0,307,5,0,0,1],[0,307,6,0,0,1],[0,307,7,0,0,1],[0,307,8,0,0,1],[0,307,9,0,0,1],[0,819,1,0,0,1],[0,819,2,0,0,1],[0,819,3,0,0,1],[0,819,4,0,0,1],[0,819,5,0,0,1],[0,819,6,0,0,1],[0,819,7,0,0,1],[0,819,8,0,0,1],[0,819,9,0,0,1],[0,308,1,0,0,1],[0,308,2,0,0,1],[0,308,3,0,0,1],[0,308,4,0,0,1],[0,308,5,0,0,1],[0,308,6,0,0,1],[0,308,7,0,0,1],[0,308,8,0,0,1],[0,308,9,0,0,1],[0,2356,1,0,0,1],[0,2356,2,0,0,1],[0,2356,3,0,0,1],[0,2356,4,0,0,1],[0,2356,5,0,0,1],[0,2356,6,0,0,1],[0,2356,7,0,0,1],[0,2356,8,0,0,1],[0,2356,9,0,0,1],[0,309,1,0,0,1],[0,309,2,0,0,1],[0,309,3,0,0,1],[0,309,4,0,0,1],[0,309,5,0,0,1],[0,309,6,0,0,1],[0,309,7,0,0,1],[0,309,8,0,0,1],[0,309,9,0,0,1],[0,821,1,0,0,1],[0,821,2,0,0,1],[0,821,3,0,0,1],[0,821,4,0,0,1],[0,821,5,0,0,1],[0,821,6,0,0,1],[0,821,7,0,0,1],[0,821,8,0,0,1],[0,821,9,0,0,1],[0,310,1,0,0,1],[0,310,2,0,0,1],[0,310,3,0,0,1],[0,310,4,0,0,1],[0,310,5,0,0,1],[0,310,6,0,0,1],[0,310,7,0,0,1],[0,310,8,0,0,1],[0,310,9,0,0,1],[0,1334,1,0,0,1],[0,1334,2,0,0,1],[0,1334,3,0,0,1],[0,1334,4,0,0,1],[0,1334,5,0,0,1],[0,1334,6,0,0,1],[0,1334,7,0,0,1],[0,1334,8,0,0,1],[0,1334,9,0,0,1],[0,311,1,0,0,1],[0,311,2,0,0,1],[0,311,3,0,0,1],[0,311,4,0,0,1],[0,311,5,0,0,1],[0,311,6,0,0,1],[0,311,7,0,0,1],[0,311,8,0,0,1],[0,311,9,0,0,1],[0,823,1,0,0,1],[0,823,2,0,0,1],[0,823,3,0,0,1],[0,823,4,0,0,1],[0,823,5,0,0,1],[0,823,6,0,0,1],[0,823,7,0,0,1],[0,823,8,0,0,1],[0,823,9,0,0,1],[0,312,1,0,0,1],[0,312,2,0,0,1],[0,312,3,0,0,1],[0,312,4,0,0,1],[0,312,5,0,0,1],[0,312,6,0,0,1],[0,312,7,0,0,1],[0,312,8,0,0,1],[0,312,9,0,0,1],[0,4408,1,0,0,1],[0,4408,2,0,0,1],[0,4408,3,0,0,1],[0,4408,4,0,0,1],[0,4408,5,0,0,1],[0,4408,6,0,0,1],[0,4408,7,0,0,1],[0,4408,8,0,0,1],[0,4408,9,0,0,1],[0,313,1,0,0,1],[0,313,2,0,0,1],[0,313,3,0,0,1],[0,313,4,0,0,1],[0,313,5,0,0,1],[0,313,6,0,0,1],[0,313,7,0,0,1],[0,313,8,0,0,1],[0,313,9,0,0,1],[0,825,1,0,0,1],[0,825,2,0,0,1],[0,825,3,0,0,1],[0,825,4,0,0,1],[0,825,5,0,0,1],[0,825,6,0,0,1],[0,825,7,0,0,1],[0,825,8,0,0,1],[0,825,9,0,0,1],[0,314,1,0,0,1],[0,314,2,0,0,1],[0,314,3,0,0,1],[0,314,4,0,0,1],[0,314,5,0,0,1],[0,314,6,0,0,1],[0,314,7,0,0,1],[0,314,8,0,0,1],[0,314,9,0,0,1],[0,1338,1,0,0,1],[0,1338,2,0,0,1],[0,1338,3,0,0,1],[0,1338,4,0,0,1],[0,1338,5,0,0,1],[0,1338,6,0,0,1],[0,1338,7,0,0,1],[0,1338,8,0,0,1],[0,1338,9,0,0,1],[0,315,1,0,0,1],[0,315,2,0,0,1],[0,315,3,0,0,1],[0,315,4,0,0,1],[0,315,5,0,0,1],[0,315,6,0,0,1],[0,315,7,0,0,1],[0,315,8,0,0,1],[0,315,9,0,0,1],[0,827,1,0,0,1],[0,827,2,0,0,1],[0,827,3,0,0,1],[0,827,4,0,0,1],[0,827,5,0,0,1],[0,827,6,0,0,1],[0,827,7,0,0,1],[0,827,8,0,0,1],[0,827,9,0,0,1],[0,316,1,0,0,1],[0,316,2,0,0,1],[0,316,3,0,0,1],[0,316,4,0,0,1],[0,316,5,0,0,1],[0,316,6,0,0,1],[0,316,7,0,0,1],[0,316,8,0,0,1],[0,316,9,0,0,1],[0,2364,1,0,0,1],[0,2364,2,0,0,1],[0,2364,3,0,0,1],[0,2364,4,0,0,1],[0,2364,5,0,0,1],[0,2364,6,0,0,1],[0,2364,7,0,0,1],[0,2364,8,0,0,1],[0,2364,9,0,0,1],[0,317,1,0,0,1],[0,317,2,0,0,1],[0,317,3,0,0,1],[0,317,4,0,0,1],[0,317,5,0,0,1],[0,317,6,0,0,1],[0,317,7,0,0,1],[0,317,8,0,0,1],[0,317,9,0,0,1],[0,829,1,0,0,1],[0,829,2,0,0,1],[0,829,3,0,0,1],[0,829,4,0,0,1],[0,829,5,0,0,1],[0,829,6,0,0,1],[0,829,7,0,0,1],[0,829,8,0,0,1],[0,829,9,0,0,1],[0,318,1,0,0,1],[0,318,2,0,0,1],[0,318,3,0,0,1],[0,318,4,0,0,1],[0,318,5,0,0,1],[0,318,6,0,0,1],[0,318,7,0,0,1],[0,318,8,0,0,1],[0,318,9,0,0,1],[0,1342,1,0,0,1],[0,1342,2,0,0,1],[0,1342,3,0,0,1],[0,1342,4,0,0,1],[0,1342,5,0,0,1],[0,1342,6,0,0,1],[0,1342,7,0,0,1],[0,1342,8,0,0,1],[0,1342,9,0,0,1],[0,319,1,0,0,1],[0,319,2,0,0,1],[0,319,3,0,0,1],[0,319,4,0,0,1],[0,319,5,0,0,1],[0,319,6,0,0,1],[0,319,7,0,0,1],[0,319,8,0,0,1],[0,319,9,0,0,1],[0,831,1,0,0,1],[0,831,2,0,0,1],[0,831,3,0,0,1],[0,831,4,0,0,1],[0,831,5,0,0,1],[0,831,6,0,0,1],[0,831,7,0,0,1],[0,831,8,0,0,1],[0,831,9,0,0,1],[0,320,1,0,0,1],[0,320,2,0,0,1],[0,320,3,0,0,1],[0,320,4,0,0,1],[0,320,5,0,0,1],[0,320,6,0,0,1],[0,320,7,0,0,1],[0,320,8,0,0,1],[0,320,9,0,0,1],[0,33088,1,0,0,1],[0,33088,2,0,0,1],[0,33088,3,0,0,1],[0,33088,4,0,0,1],[0,33088,5,0,0,1],[0,33088,6,0,0,1],[0,33088,7,0,0,1],[0,33088,8,0,0,1],[0,33088,9,0,0,1],[0,321,1,0,0,1],[0,321,2,0,0,1],[0,321,3,0,0,1],[0,321,4,0,0,1],[0,321,5,0,0,1],[0,321,6,0,0,1],[0,321,7,0,0,1],[0,321,8,0,0,1],[0,321,9,0,0,1],[0,833,1,0,0,1],[0,833,2,0,0,1],[0,833,3,0,0,1],[0,833,4,0,0,1],[0,833,5,0,0,1],[0,833,6,0,0,1],[0,833,7,0,0,1],[0,833,8,0,0,1],[0,833,9,0,0,1],[0,322,1,0,0,1],[0,322,2,0,0,1],[0,322,3,0,0,1],[0,322,4,0,0,1],[0,322,5,0,0,1],[0,322,6,0,0,1],[0,322,7,0,0,1],[0,322,8,0,0,1],[0,322,9,0,0,1],[0,1346,1,0,0,1],[0,1346,2,0,0,1],[0,1346,3,0,0,1],[0,1346,4,0,0,1],[0,1346,5,0,0,1],[0,1346,6,0,0,1],[0,1346,7,0,0,1],[0,1346,8,0,0,1],[0,1346,9,0,0,1],[0,323,1,0,0,1],[0,323,2,0,0,1],[0,323,3,0,0,1],[0,323,4,0,0,1],[0,323,5,0,0,1],[0,323,6,0,0,1],[0,323,7,0,0,1],[0,323,8,0,0,1],[0,323,9,0,0,1],[0,835,1,0,0,1],[0,835,2,0,0,1],[0,835,3,0,0,1],[0,835,4,0,0,1],[0,835,5,0,0,1],[0,835,6,0,0,1],[0,835,7,0,0,1],[0,835,8,0,0,1],[0,835,9,0,0,1],[0,324,1,0,0,1],[0,324,2,0,0,1],[0,324,3,0,0,1],[0,324,4,0,0,1],[0,324,5,0,0,1],[0,324,6,0,0,1],[0,324,7,0,0,1],[0,324,8,0,0,1],[0,324,9,0,0,1],[0,2372,1,0,0,1],[0,2372,2,0,0,1],[0,2372,3,0,0,1],[0,2372,4,0,0,1],[0,2372,5,0,0,1],[0,2372,6,0,0,1],[0,2372,7,0,0,1],[0,2372,8,0,0,1],[0,2372,9,0,0,1],[0,325,1,0,0,1],[0,325,2,0,0,1],[0,325,3,0,0,1],[0,325,4,0,0,1],[0,325,5,0,0,1],[0,325,6,0,0,1],[0,325,7,0,0,1],[0,325,8,0,0,1],[0,325,9,0,0,1],[0,837,1,0,0,1],[0,837,2,0,0,1],[0,837,3,0,0,1],[0,837,4,0,0,1],[0,837,5,0,0,1],[0,837,6,0,0,1],[0,837,7,0,0,1],[0,837,8,0,0,1],[0,837,9,0,0,1],[0,326,1,0,0,1],[0,326,2,0,0,1],[0,326,3,0,0,1],[0,326,4,0,0,1],[0,326,5,0,0,1],[0,326,6,0,0,1],[0,326,7,0,0,1],[0,326,8,0,0,1],[0,326,9,0,0,1],[0,1350,1,0,0,1],[0,1350,2,0,0,1],[0,1350,3,0,0,1],[0,1350,4,0,0,1],[0,1350,5,0,0,1],[0,1350,6,0,0,1],[0,1350,7,0,0,1],[0,1350,8,0,0,1],[0,1350,9,0,0,1],[0,327,1,0,0,1],[0,327,2,0,0,1],[0,327,3,0,0,1],[0,327,4,0,0,1],[0,327,5,0,0,1],[0,327,6,0,0,1],[0,327,7,0,0,1],[0,327,8,0,0,1],[0,327,9,0,0,1],[0,839,1,0,0,1],[0,839,2,0,0,1],[0,839,3,0,0,1],[0,839,4,0,0,1],[0,839,5,0,0,1],[0,839,6,0,0,1],[0,839,7,0,0,1],[0,839,8,0,0,1],[0,839,9,0,0,1],[0,328,1,0,0,1],[0,328,2,0,0,1],[0,328,3,0,0,1],[0,328,4,0,0,1],[0,328,5,0,0,1],[0,328,6,0,0,1],[0,328,7,0,0,1],[0,328,8,0,0,1],[0,328,9,0,0,1],[0,4424,1,0,0,1],[0,4424,2,0,0,1],[0,4424,3,0,0,1],[0,4424,4,0,0,1],[0,4424,5,0,0,1],[0,4424,6,0,0,1],[0,4424,7,0,0,1],[0,4424,8,0,0,1],[0,4424,9,0,0,1],[0,329,1,0,0,1],[0,329,2,0,0,1],[0,329,3,0,0,1],[0,329,4,0,0,1],[0,329,5,0,0,1],[0,329,6,0,0,1],[0,329,7,0,0,1],[0,329,8,0,0,1],[0,329,9,0,0,1],[0,841,1,0,0,1],[0,841,2,0,0,1],[0,841,3,0,0,1],[0,841,4,0,0,1],[0,841,5,0,0,1],[0,841,6,0,0,1],[0,841,7,0,0,1],[0,841,8,0,0,1],[0,841,9,0,0,1],[0,330,1,0,0,1],[0,330,2,0,0,1],[0,330,3,0,0,1],[0,330,4,0,0,1],[0,330,5,0,0,1],[0,330,6,0,0,1],[0,330,7,0,0,1],[0,330,8,0,0,1],[0,330,9,0,0,1],[0,1354,1,0,0,1],[0,1354,2,0,0,1],[0,1354,3,0,0,1],[0,1354,4,0,0,1],[0,1354,5,0,0,1],[0,1354,6,0,0,1],[0,1354,7,0,0,1],[0,1354,8,0,0,1],[0,1354,9,0,0,1],[0,331,1,0,0,1],[0,331,2,0,0,1],[0,331,3,0,0,1],[0,331,4,0,0,1],[0,331,5,0,0,1],[0,331,6,0,0,1],[0,331,7,0,0,1],[0,331,8,0,0,1],[0,331,9,0,0,1],[0,843,1,0,0,1],[0,843,2,0,0,1],[0,843,3,0,0,1],[0,843,4,0,0,1],[0,843,5,0,0,1],[0,843,6,0,0,1],[0,843,7,0,0,1],[0,843,8,0,0,1],[0,843,9,0,0,1],[0,332,1,0,0,1],[0,332,2,0,0,1],[0,332,3,0,0,1],[0,332,4,0,0,1],[0,332,5,0,0,1],[0,332,6,0,0,1],[0,332,7,0,0,1],[0,332,8,0,0,1],[0,332,9,0,0,1],[0,2380,1,0,0,1],[0,2380,2,0,0,1],[0,2380,3,0,0,1],[0,2380,4,0,0,1],[0,2380,5,0,0,1],[0,2380,6,0,0,1],[0,2380,7,0,0,1],[0,2380,8,0,0,1],[0,2380,9,0,0,1],[0,333,1,0,0,1],[0,333,2,0,0,1],[0,333,3,0,0,1],[0,333,4,0,0,1],[0,333,5,0,0,1],[0,333,6,0,0,1],[0,333,7,0,0,1],[0,333,8,0,0,1],[0,333,9,0,0,1],[0,845,1,0,0,1],[0,845,2,0,0,1],[0,845,3,0,0,1],[0,845,4,0,0,1],[0,845,5,0,0,1],[0,845,6,0,0,1],[0,845,7,0,0,1],[0,845,8,0,0,1],[0,845,9,0,0,1],[0,334,1,0,0,1],[0,334,2,0,0,1],[0,334,3,0,0,1],[0,334,4,0,0,1],[0,334,5,0,0,1],[0,334,6,0,0,1],[0,334,7,0,0,1],[0,334,8,0,0,1],[0,334,9,0,0,1],[0,1358,1,0,0,1],[0,1358,2,0,0,1],[0,1358,3,0,0,1],[0,1358,4,0,0,1],[0,1358,5,0,0,1],[0,1358,6,0,0,1],[0,1358,7,0,0,1],[0,1358,8,0,0,1],[0,1358,9,0,0,1],[0,335,1,0,0,1],[0,335,2,0,0,1],[0,335,3,0,0,1],[0,335,4,0,0,1],[0,335,5,0,0,1],[0,335,6,0,0,1],[0,335,7,0,0,1],[0,335,8,0,0,1],[0,335,9,0,0,1],[0,847,1,0,0,1],[0,847,2,0,0,1],[0,847,3,0,0,1],[0,847,4,0,0,1],[0,847,5,0,0,1],[0,847,6,0,0,1],[0,847,7,0,0,1],[0,847,8,0,0,1],[0,847,9,0,0,1],[0,336,1,0,0,1],[0,336,2,0,0,1],[0,336,3,0,0,1],[0,336,4,0,0,1],[0,336,5,0,0,1],[0,336,6,0,0,1],[0,336,7,0,0,1],[0,336,8,0,0,1],[0,336,9,0,0,1],[0,8528,1,0,0,1],[0,8528,2,0,0,1],[0,8528,3,0,0,1],[0,8528,4,0,0,1],[0,8528,5,0,0,1],[0,8528,6,0,0,1],[0,8528,7,0,0,1],[0,8528,8,0,0,1],[0,8528,9,0,0,1],[0,337,1,0,0,1],[0,337,2,0,0,1],[0,337,3,0,0,1],[0,337,4,0,0,1],[0,337,5,0,0,1],[0,337,6,0,0,1],[0,337,7,0,0,1],[0,337,8,0,0,1],[0,337,9,0,0,1],[0,849,1,0,0,1],[0,849,2,0,0,1],[0,849,3,0,0,1],[0,849,4,0,0,1],[0,849,5,0,0,1],[0,849,6,0,0,1],[0,849,7,0,0,1],[0,849,8,0,0,1],[0,849,9,0,0,1],[0,338,1,0,0,1],[0,338,2,0,0,1],[0,338,3,0,0,1],[0,338,4,0,0,1],[0,338,5,0,0,1],[0,338,6,0,0,1],[0,338,7,0,0,1],[0,338,8,0,0,1],[0,338,9,0,0,1],[0,1362,1,0,0,1],[0,1362,2,0,0,1],[0,1362,3,0,0,1],[0,1362,4,0,0,1],[0,1362,5,0,0,1],[0,1362,6,0,0,1],[0,1362,7,0,0,1],[0,1362,8,0,0,1],[0,1362,9,0,0,1],[0,339,1,0,0,1],[0,339,2,0,0,1],[0,339,3,0,0,1],[0,339,4,0,0,1],[0,339,5,0,0,1],[0,339,6,0,0,1],[0,339,7,0,0,1],[0,339,8,0,0,1],[0,339,9,0,0,1],[0,851,1,0,0,1],[0,851,2,0,0,1],[0,851,3,0,0,1],[0,851,4,0,0,1],[0,851,5,0,0,1],[0,851,6,0,0,1],[0,851,7,0,0,1],[0,851,8,0,0,1],[0,851,9,0,0,1],[0,340,1,0,0,1],[0,340,2,0,0,1],[0,340,3,0,0,1],[0,340,4,0,0,1],[0,340,5,0,0,1],[0,340,6,0,0,1],[0,340,7,0,0,1],[0,340,8,0,0,1],[0,340,9,0,0,1],[0,2388,1,0,0,1],[0,2388,2,0,0,1],[0,2388,3,0,0,1],[0,2388,4,0,0,1],[0,2388,5,0,0,1],[0,2388,6,0,0,1],[0,2388,7,0,0,1],[0,2388,8,0,0,1],[0,2388,9,0,0,1],[0,341,1,0,0,1],[0,341,2,0,0,1],[0,341,3,0,0,1],[0,341,4,0,0,1],[0,341,5,0,0,1],[0,341,6,0,0,1],[0,341,7,0,0,1],[0,341,8,0,0,1],[0,341,9,0,0,1],[0,853,1,0,0,1],[0,853,2,0,0,1],[0,853,3,0,0,1],[0,853,4,0,0,1],[0,853,5,0,0,1],[0,853,6,0,0,1],[0,853,7,0,0,1],[0,853,8,0,0,1],[0,853,9,0,0,1],[0,342,1,0,0,1],[0,342,2,0,0,1],[0,342,3,0,0,1],[0,342,4,0,0,1],[0,342,5,0,0,1],[0,342,6,0,0,1],[0,342,7,0,0,1],[0,342,8,0,0,1],[0,342,9,0,0,1],[0,1366,1,0,0,1],[0,1366,2,0,0,1],[0,1366,3,0,0,1],[0,1366,4,0,0,1],[0,1366,5,0,0,1],[0,1366,6,0,0,1],[0,1366,7,0,0,1],[0,1366,8,0,0,1],[0,1366,9,0,0,1],[0,343,1,0,0,1],[0,343,2,0,0,1],[0,343,3,0,0,1],[0,343,4,0,0,1],[0,343,5,0,0,1],[0,343,6,0,0,1],[0,343,7,0,0,1],[0,343,8,0,0,1],[0,343,9,0,0,1],[0,855,1,0,0,1],[0,855,2,0,0,1],[0,855,3,0,0,1],[0,855,4,0,0,1],[0,855,5,0,0,1],[0,855,6,0,0,1],[0,855,7,0,0,1],[0,855,8,0,0,1],[0,855,9,0,0,1],[0,344,1,0,0,1],[0,344,2,0,0,1],[0,344,3,0,0,1],[0,344,4,0,0,1],[0,344,5,0,0,1],[0,344,6,0,0,1],[0,344,7,0,0,1],[0,344,8,0,0,1],[0,344,9,0,0,1],[0,4440,1,0,0,1],[0,4440,2,0,0,1],[0,4440,3,0,0,1],[0,4440,4,0,0,1],[0,4440,5,0,0,1],[0,4440,6,0,0,1],[0,4440,7,0,0,1],[0,4440,8,0,0,1],[0,4440,9,0,0,1],[0,345,1,0,0,1],[0,345,2,0,0,1],[0,345,3,0,0,1],[0,345,4,0,0,1],[0,345,5,0,0,1],[0,345,6,0,0,1],[0,345,7,0,0,1],[0,345,8,0,0,1],[0,345,9,0,0,1],[0,857,1,0,0,1],[0,857,2,0,0,1],[0,857,3,0,0,1],[0,857,4,0,0,1],[0,857,5,0,0,1],[0,857,6,0,0,1],[0,857,7,0,0,1],[0,857,8,0,0,1],[0,857,9,0,0,1],[0,346,1,0,0,1],[0,346,2,0,0,1],[0,346,3,0,0,1],[0,346,4,0,0,1],[0,346,5,0,0,1],[0,346,6,0,0,1],[0,346,7,0,0,1],[0,346,8,0,0,1],[0,346,9,0,0,1],[0,1370,1,0,0,1],[0,1370,2,0,0,1],[0,1370,3,0,0,1],[0,1370,4,0,0,1],[0,1370,5,0,0,1],[0,1370,6,0,0,1],[0,1370,7,0,0,1],[0,1370,8,0,0,1],[0,1370,9,0,0,1],[0,347,1,0,0,1],[0,347,2,0,0,1],[0,347,3,0,0,1],[0,347,4,0,0,1],[0,347,5,0,0,1],[0,347,6,0,0,1],[0,347,7,0,0,1],[0,347,8,0,0,1],[0,347,9,0,0,1],[0,859,1,0,0,1],[0,859,2,0,0,1],[0,859,3,0,0,1],[0,859,4,0,0,1],[0,859,5,0,0,1],[0,859,6,0,0,1],[0,859,7,0,0,1],[0,859,8,0,0,1],[0,859,9,0,0,1],[0,348,1,0,0,1],[0,348,2,0,0,1],[0,348,3,0,0,1],[0,348,4,0,0,1],[0,348,5,0,0,1],[0,348,6,0,0,1],[0,348,7,0,0,1],[0,348,8,0,0,1],[0,348,9,0,0,1],[0,2396,1,0,0,1],[0,2396,2,0,0,1],[0,2396,3,0,0,1],[0,2396,4,0,0,1],[0,2396,5,0,0,1],[0,2396,6,0,0,1],[0,2396,7,0,0,1],[0,2396,8,0,0,1],[0,2396,9,0,0,1],[0,349,1,0,0,1],[0,349,2,0,0,1],[0,349,3,0,0,1],[0,349,4,0,0,1],[0,349,5,0,0,1],[0,349,6,0,0,1],[0,349,7,0,0,1],[0,349,8,0,0,1],[0,349,9,0,0,1],[0,861,1,0,0,1],[0,861,2,0,0,1],[0,861,3,0,0,1],[0,861,4,0,0,1],[0,861,5,0,0,1],[0,861,6,0,0,1],[0,861,7,0,0,1],[0,861,8,0,0,1],[0,861,9,0,0,1],[0,350,1,0,0,1],[0,350,2,0,0,1],[0,350,3,0,0,1],[0,350,4,0,0,1],[0,350,5,0,0,1],[0,350,6,0,0,1],[0,350,7,0,0,1],[0,350,8,0,0,1],[0,350,9,0,0,1],[0,1374,1,0,0,1],[0,1374,2,0,0,1],[0,1374,3,0,0,1],[0,1374,4,0,0,1],[0,1374,5,0,0,1],[0,1374,6,0,0,1],[0,1374,7,0,0,1],[0,1374,8,0,0,1],[0,1374,9,0,0,1],[0,351,1,0,0,1],[0,351,2,0,0,1],[0,351,3,0,0,1],[0,351,4,0,0,1],[0,351,5,0,0,1],[0,351,6,0,0,1],[0,351,7,0,0,1],[0,351,8,0,0,1],[0,351,9,0,0,1],[0,863,1,0,0,1],[0,863,2,0,0,1],[0,863,3,0,0,1],[0,863,4,0,0,1],[0,863,5,0,0,1],[0,863,6,0,0,1],[0,863,7,0,0,1],[0,863,8,0,0,1],[0,863,9,0,0,1],[0,352,1,0,0,1],[0,352,2,0,0,1],[0,352,3,0,0,1],[0,352,4,0,0,1],[0,352,5,0,0,1],[0,352,6,0,0,1],[0,352,7,0,0,1],[0,352,8,0,0,1],[0,352,9,0,0,1],[0,16736,1,0,0,1],[0,16736,2,0,0,1],[0,16736,3,0,0,1],[0,16736,4,0,0,1],[0,16736,5,0,0,1],[0,16736,6,0,0,1],[0,16736,7,0,0,1],[0,16736,8,0,0,1],[0,16736,9,0,0,1],[0,353,1,0,0,1],[0,353,2,0,0,1],[0,353,3,0,0,1],[0,353,4,0,0,1],[0,353,5,0,0,1],[0,353,6,0,0,1],[0,353,7,0,0,1],[0,353,8,0,0,1],[0,353,9,0,0,1],[0,865,1,0,0,1],[0,865,2,0,0,1],[0,865,3,0,0,1],[0,865,4,0,0,1],[0,865,5,0,0,1],[0,865,6,0,0,1],[0,865,7,0,0,1],[0,865,8,0,0,1],[0,865,9,0,0,1],[0,354,1,0,0,1],[0,354,2,0,0,1],[0,354,3,0,0,1],[0,354,4,0,0,1],[0,354,5,0,0,1],[0,354,6,0,0,1],[0,354,7,0,0,1],[0,354,8,0,0,1],[0,354,9,0,0,1],[0,1378,1,0,0,1],[0,1378,2,0,0,1],[0,1378,3,0,0,1],[0,1378,4,0,0,1],[0,1378,5,0,0,1],[0,1378,6,0,0,1],[0,1378,7,0,0,1],[0,1378,8,0,0,1],[0,1378,9,0,0,1],[0,355,1,0,0,1],[0,355,2,0,0,1],[0,355,3,0,0,1],[0,355,4,0,0,1],[0,355,5,0,0,1],[0,355,6,0,0,1],[0,355,7,0,0,1],[0,355,8,0,0,1],[0,355,9,0,0,1],[0,867,1,0,0,1],[0,867,2,0,0,1],[0,867,3,0,0,1],[0,867,4,0,0,1],[0,867,5,0,0,1],[0,867,6,0,0,1],[0,867,7,0,0,1],[0,867,8,0,0,1],[0,867,9,0,0,1],[0,356,1,0,0,1],[0,356,2,0,0,1],[0,356,3,0,0,1],[0,356,4,0,0,1],[0,356,5,0,0,1],[0,356,6,0,0,1],[0,356,7,0,0,1],[0,356,8,0,0,1],[0,356,9,0,0,1],[0,2404,1,0,0,1],[0,2404,2,0,0,1],[0,2404,3,0,0,1],[0,2404,4,0,0,1],[0,2404,5,0,0,1],[0,2404,6,0,0,1],[0,2404,7,0,0,1],[0,2404,8,0,0,1],[0,2404,9,0,0,1],[0,357,1,0,0,1],[0,357,2,0,0,1],[0,357,3,0,0,1],[0,357,4,0,0,1],[0,357,5,0,0,1],[0,357,6,0,0,1],[0,357,7,0,0,1],[0,357,8,0,0,1],[0,357,9,0,0,1],[0,869,1,0,0,1],[0,869,2,0,0,1],[0,869,3,0,0,1],[0,869,4,0,0,1],[0,869,5,0,0,1],[0,869,6,0,0,1],[0,869,7,0,0,1],[0,869,8,0,0,1],[0,869,9,0,0,1],[0,358,1,0,0,1],[0,358,2,0,0,1],[0,358,3,0,0,1],[0,358,4,0,0,1],[0,358,5,0,0,1],[0,358,6,0,0,1],[0,358,7,0,0,1],[0,358,8,0,0,1],[0,358,9,0,0,1],[0,1382,1,0,0,1],[0,1382,2,0,0,1],[0,1382,3,0,0,1],[0,1382,4,0,0,1],[0,1382,5,0,0,1],[0,1382,6,0,0,1],[0,1382,7,0,0,1],[0,1382,8,0,0,1],[0,1382,9,0,0,1],[0,359,1,0,0,1],[0,359,2,0,0,1],[0,359,3,0,0,1],[0,359,4,0,0,1],[0,359,5,0,0,1],[0,359,6,0,0,1],[0,359,7,0,0,1],[0,359,8,0,0,1],[0,359,9,0,0,1],[0,871,1,0,0,1],[0,871,2,0,0,1],[0,871,3,0,0,1],[0,871,4,0,0,1],[0,871,5,0,0,1],[0,871,6,0,0,1],[0,871,7,0,0,1],[0,871,8,0,0,1],[0,871,9,0,0,1],[0,360,1,0,0,1],[0,360,2,0,0,1],[0,360,3,0,0,1],[0,360,4,0,0,1],[0,360,5,0,0,1],[0,360,6,0,0,1],[0,360,7,0,0,1],[0,360,8,0,0,1],[0,360,9,0,0,1],[0,4456,1,0,0,1],[0,4456,2,0,0,1],[0,4456,3,0,0,1],[0,4456,4,0,0,1],[0,4456,5,0,0,1],[0,4456,6,0,0,1],[0,4456,7,0,0,1],[0,4456,8,0,0,1],[0,4456,9,0,0,1],[0,361,1,0,0,1],[0,361,2,0,0,1],[0,361,3,0,0,1],[0,361,4,0,0,1],[0,361,5,0,0,1],[0,361,6,0,0,1],[0,361,7,0,0,1],[0,361,8,0,0,1],[0,361,9,0,0,1],[0,873,1,0,0,1],[0,873,2,0,0,1],[0,873,3,0,0,1],[0,873,4,0,0,1],[0,873,5,0,0,1],[0,873,6,0,0,1],[0,873,7,0,0,1],[0,873,8,0,0,1],[0,873,9,0,0,1],[0,362,1,0,0,1],[0,362,2,0,0,1],[0,362,3,0,0,1],[0,362,4,0,0,1],[0,362,5,0,0,1],[0,362,6,0,0,1],[0,362,7,0,0,1],[0,362,8,0,0,1],[0,362,9,0,0,1],[0,1386,1,0,0,1],[0,1386,2,0,0,1],[0,1386,3,0,0,1],[0,1386,4,0,0,1],[0,1386,5,0,0,1],[0,1386,6,0,0,1],[0,1386,7,0,0,1],[0,1386,8,0,0,1],[0,1386,9,0,0,1],[0,363,1,0,0,1],[0,363,2,0,0,1],[0,363,3,0,0,1],[0,363,4,0,0,1],[0,363,5,0,0,1],[0,363,6,0,0,1],[0,363,7,0,0,1],[0,363,8,0,0,1],[0,363,9,0,0,1],[0,875,1,0,0,1],[0,875,2,0,0,1],[0,875,3,0,0,1],[0,875,4,0,0,1],[0,875,5,0,0,1],[0,875,6,0,0,1],[0,875,7,0,0,1],[0,875,8,0,0,1],[0,875,9,0,0,1],[0,364,1,0,0,1],[0,364,2,0,0,1],[0,364,3,0,0,1],[0,364,4,0,0,1],[0,364,5,0,0,1],[0,364,6,0,0,1],[0,364,7,0,0,1],[0,364,8,0,0,1],[0,364,9,0,0,1],[0,2412,1,0,0,1],[0,2412,2,0,0,1],[0,2412,3,0,0,1],[0,2412,4,0,0,1],[0,2412,5,0,0,1],[0,2412,6,0,0,1],[0,2412,7,0,0,1],[0,2412,8,0,0,1],[0,2412,9,0,0,1],[0,365,1,0,0,1],[0,365,2,0,0,1],[0,365,3,0,0,1],[0,365,4,0,0,1],[0,365,5,0,0,1],[0,365,6,0,0,1],[0,365,7,0,0,1],[0,365,8,0,0,1],[0,365,9,0,0,1],[0,877,1,0,0,1],[0,877,2,0,0,1],[0,877,3,0,0,1],[0,877,4,0,0,1],[0,877,5,0,0,1],[0,877,6,0,0,1],[0,877,7,0,0,1],[0,877,8,0,0,1],[0,877,9,0,0,1],[0,366,1,0,0,1],[0,366,2,0,0,1],[0,366,3,0,0,1],[0,366,4,0,0,1],[0,366,5,0,0,1],[0,366,6,0,0,1],[0,366,7,0,0,1],[0,366,8,0,0,1],[0,366,9,0,0,1],[0,1390,1,0,0,1],[0,1390,2,0,0,1],[0,1390,3,0,0,1],[0,1390,4,0,0,1],[0,1390,5,0,0,1],[0,1390,6,0,0,1],[0,1390,7,0,0,1],[0,1390,8,0,0,1],[0,1390,9,0,0,1],[0,367,1,0,0,1],[0,367,2,0,0,1],[0,367,3,0,0,1],[0,367,4,0,0,1],[0,367,5,0,0,1],[0,367,6,0,0,1],[0,367,7,0,0,1],[0,367,8,0,0,1],[0,367,9,0,0,1],[0,879,1,0,0,1],[0,879,2,0,0,1],[0,879,3,0,0,1],[0,879,4,0,0,1],[0,879,5,0,0,1],[0,879,6,0,0,1],[0,879,7,0,0,1],[0,879,8,0,0,1],[0,879,9,0,0,1],[0,368,1,0,0,1],[0,368,2,0,0,1],[0,368,3,0,0,1],[0,368,4,0,0,1],[0,368,5,0,0,1],[0,368,6,0,0,1],[0,368,7,0,0,1],[0,368,8,0,0,1],[0,368,9,0,0,1],[0,8560,1,0,0,1],[0,8560,2,0,0,1],[0,8560,3,0,0,1],[0,8560,4,0,0,1],[0,8560,5,0,0,1],[0,8560,6,0,0,1],[0,8560,7,0,0,1],[0,8560,8,0,0,1],[0,8560,9,0,0,1],[0,369,1,0,0,1],[0,369,2,0,0,1],[0,369,3,0,0,1],[0,369,4,0,0,1],[0,369,5,0,0,1],[0,369,6,0,0,1],[0,369,7,0,0,1],[0,369,8,0,0,1],[0,369,9,0,0,1],[0,881,1,0,0,1],[0,881,2,0,0,1],[0,881,3,0,0,1],[0,881,4,0,0,1],[0,881,5,0,0,1],[0,881,6,0,0,1],[0,881,7,0,0,1],[0,881,8,0,0,1],[0,881,9,0,0,1],[0,370,1,0,0,1],[0,370,2,0,0,1],[0,370,3,0,0,1],[0,370,4,0,0,1],[0,370,5,0,0,1],[0,370,6,0,0,1],[0,370,7,0,0,1],[0,370,8,0,0,1],[0,370,9,0,0,1],[0,1394,1,0,0,1],[0,1394,2,0,0,1],[0,1394,3,0,0,1],[0,1394,4,0,0,1],[0,1394,5,0,0,1],[0,1394,6,0,0,1],[0,1394,7,0,0,1],[0,1394,8,0,0,1],[0,1394,9,0,0,1],[0,371,1,0,0,1],[0,371,2,0,0,1],[0,371,3,0,0,1],[0,371,4,0,0,1],[0,371,5,0,0,1],[0,371,6,0,0,1],[0,371,7,0,0,1],[0,371,8,0,0,1],[0,371,9,0,0,1],[0,883,1,0,0,1],[0,883,2,0,0,1],[0,883,3,0,0,1],[0,883,4,0,0,1],[0,883,5,0,0,1],[0,883,6,0,0,1],[0,883,7,0,0,1],[0,883,8,0,0,1],[0,883,9,0,0,1],[0,372,1,0,0,1],[0,372,2,0,0,1],[0,372,3,0,0,1],[0,372,4,0,0,1],[0,372,5,0,0,1],[0,372,6,0,0,1],[0,372,7,0,0,1],[0,372,8,0,0,1],[0,372,9,0,0,1],[0,2420,1,0,0,1],[0,2420,2,0,0,1],[0,2420,3,0,0,1],[0,2420,4,0,0,1],[0,2420,5,0,0,1],[0,2420,6,0,0,1],[0,2420,7,0,0,1],[0,2420,8,0,0,1],[0,2420,9,0,0,1],[0,373,1,0,0,1],[0,373,2,0,0,1],[0,373,3,0,0,1],[0,373,4,0,0,1],[0,373,5,0,0,1],[0,373,6,0,0,1],[0,373,7,0,0,1],[0,373,8,0,0,1],[0,373,9,0,0,1],[0,885,1,0,0,1],[0,885,2,0,0,1],[0,885,3,0,0,1],[0,885,4,0,0,1],[0,885,5,0,0,1],[0,885,6,0,0,1],[0,885,7,0,0,1],[0,885,8,0,0,1],[0,885,9,0,0,1],[0,374,1,0,0,1],[0,374,2,0,0,1],[0,374,3,0,0,1],[0,374,4,0,0,1],[0,374,5,0,0,1],[0,374,6,0,0,1],[0,374,7,0,0,1],[0,374,8,0,0,1],[0,374,9,0,0,1],[0,1398,1,0,0,1],[0,1398,2,0,0,1],[0,1398,3,0,0,1],[0,1398,4,0,0,1],[0,1398,5,0,0,1],[0,1398,6,0,0,1],[0,1398,7,0,0,1],[0,1398,8,0,0,1],[0,1398,9,0,0,1],[0,375,1,0,0,1],[0,375,2,0,0,1],[0,375,3,0,0,1],[0,375,4,0,0,1],[0,375,5,0,0,1],[0,375,6,0,0,1],[0,375,7,0,0,1],[0,375,8,0,0,1],[0,375,9,0,0,1],[0,887,1,0,0,1],[0,887,2,0,0,1],[0,887,3,0,0,1],[0,887,4,0,0,1],[0,887,5,0,0,1],[0,887,6,0,0,1],[0,887,7,0,0,1],[0,887,8,0,0,1],[0,887,9,0,0,1],[0,376,1,0,0,1],[0,376,2,0,0,1],[0,376,3,0,0,1],[0,376,4,0,0,1],[0,376,5,0,0,1],[0,376,6,0,0,1],[0,376,7,0,0,1],[0,376,8,0,0,1],[0,376,9,0,0,1],[0,4472,1,0,0,1],[0,4472,2,0,0,1],[0,4472,3,0,0,1],[0,4472,4,0,0,1],[0,4472,5,0,0,1],[0,4472,6,0,0,1],[0,4472,7,0,0,1],[0,4472,8,0,0,1],[0,4472,9,0,0,1],[0,377,1,0,0,1],[0,377,2,0,0,1],[0,377,3,0,0,1],[0,377,4,0,0,1],[0,377,5,0,0,1],[0,377,6,0,0,1],[0,377,7,0,0,1],[0,377,8,0,0,1],[0,377,9,0,0,1],[0,889,1,0,0,1],[0,889,2,0,0,1],[0,889,3,0,0,1],[0,889,4,0,0,1],[0,889,5,0,0,1],[0,889,6,0,0,1],[0,889,7,0,0,1],[0,889,8,0,0,1],[0,889,9,0,0,1],[0,378,1,0,0,1],[0,378,2,0,0,1],[0,378,3,0,0,1],[0,378,4,0,0,1],[0,378,5,0,0,1],[0,378,6,0,0,1],[0,378,7,0,0,1],[0,378,8,0,0,1],[0,378,9,0,0,1],[0,1402,1,0,0,1],[0,1402,2,0,0,1],[0,1402,3,0,0,1],[0,1402,4,0,0,1],[0,1402,5,0,0,1],[0,1402,6,0,0,1],[0,1402,7,0,0,1],[0,1402,8,0,0,1],[0,1402,9,0,0,1],[0,379,1,0,0,1],[0,379,2,0,0,1],[0,379,3,0,0,1],[0,379,4,0,0,1],[0,379,5,0,0,1],[0,379,6,0,0,1],[0,379,7,0,0,1],[0,379,8,0,0,1],[0,379,9,0,0,1],[0,891,1,0,0,1],[0,891,2,0,0,1],[0,891,3,0,0,1],[0,891,4,0,0,1],[0,891,5,0,0,1],[0,891,6,0,0,1],[0,891,7,0,0,1],[0,891,8,0,0,1],[0,891,9,0,0,1],[0,380,1,0,0,1],[0,380,2,0,0,1],[0,380,3,0,0,1],[0,380,4,0,0,1],[0,380,5,0,0,1],[0,380,6,0,0,1],[0,380,7,0,0,1],[0,380,8,0,0,1],[0,380,9,0,0,1],[0,2428,1,0,0,1],[0,2428,2,0,0,1],[0,2428,3,0,0,1],[0,2428,4,0,0,1],[0,2428,5,0,0,1],[0,2428,6,0,0,1],[0,2428,7,0,0,1],[0,2428,8,0,0,1],[0,2428,9,0,0,1],[0,381,1,0,0,1],[0,381,2,0,0,1],[0,381,3,0,0,1],[0,381,4,0,0,1],[0,381,5,0,0,1],[0,381,6,0,0,1],[0,381,7,0,0,1],[0,381,8,0,0,1],[0,381,9,0,0,1],[0,893,1,0,0,1],[0,893,2,0,0,1],[0,893,3,0,0,1],[0,893,4,0,0,1],[0,893,5,0,0,1],[0,893,6,0,0,1],[0,893,7,0,0,1],[0,893,8,0,0,1],[0,893,9,0,0,1],[0,382,1,0,0,1],[0,382,2,0,0,1],[0,382,3,0,0,1],[0,382,4,0,0,1],[0,382,5,0,0,1],[0,382,6,0,0,1],[0,382,7,0,0,1],[0,382,8,0,0,1],[0,382,9,0,0,1],[0,1406,1,0,0,1],[0,1406,2,0,0,1],[0,1406,3,0,0,1],[0,1406,4,0,0,1],[0,1406,5,0,0,1],[0,1406,6,0,0,1],[0,1406,7,0,0,1],[0,1406,8,0,0,1],[0,1406,9,0,0,1],[0,383,1,0,0,1],[0,383,2,0,0,1],[0,383,3,0,0,1],[0,383,4,0,0,1],[0,383,5,0,0,1],[0,383,6,0,0,1],[0,383,7,0,0,1],[0,383,8,0,0,1],[0,383,9,0,0,1],[0,895,1,0,0,1],[0,895,2,0,0,1],[0,895,3,0,0,1],[0,895,4,0,0,1],[0,895,5,0,0,1],[0,895,6,0,0,1],[0,895,7,0,0,1],[0,895,8,0,0,1],[0,895,9,0,0,1],[0,384,1,0,0,1],[0,384,2,0,0,1],[0,384,3,0,0,1],[0,384,4,0,0,1],[0,384,5,0,0,1],[0,384,6,0,0,1],[0,384,7,0,0,1],[0,384,8,0,0,1],[0,384,9,0,0,1],[0,65920,1,0,0,1],[0,65920,2,0,0,1],[0,65920,3,0,0,1],[0,65920,4,0,0,1],[0,65920,5,0,0,1],[0,65920,6,0,0,1],[0,65920,7,0,0,1],[0,65920,8,0,0,1],[0,65920,9,0,0,1],[0,385,1,0,0,1],[0,385,2,0,0,1],[0,385,3,0,0,1],[0,385,4,0,0,1],[0,385,5,0,0,1],[0,385,6,0,0,1],[0,385,7,0,0,1],[0,385,8,0,0,1],[0,385,9,0,0,1],[0,897,1,0,0,1],[0,897,2,0,0,1],[0,897,3,0,0,1],[0,897,4,0,0,1],[0,897,5,0,0,1],[0,897,6,0,0,1],[0,897,7,0,0,1],[0,897,8,0,0,1],[0,897,9,0,0,1],[0,386,1,0,0,1],[0,386,2,0,0,1],[0,386,3,0,0,1],[0,386,4,0,0,1],[0,386,5,0,0,1],[0,386,6,0,0,1],[0,386,7,0,0,1],[0,386,8,0,0,1],[0,386,9,0,0,1],[0,1410,1,0,0,1],[0,1410,2,0,0,1],[0,1410,3,0,0,1],[0,1410,4,0,0,1],[0,1410,5,0,0,1],[0,1410,6,0,0,1],[0,1410,7,0,0,1],[0,1410,8,0,0,1],[0,1410,9,0,0,1],[0,387,1,0,0,1],[0,387,2,0,0,1],[0,387,3,0,0,1],[0,387,4,0,0,1],[0,387,5,0,0,1],[0,387,6,0,0,1],[0,387,7,0,0,1],[0,387,8,0,0,1],[0,387,9,0,0,1],[0,899,1,0,0,1],[0,899,2,0,0,1],[0,899,3,0,0,1],[0,899,4,0,0,1],[0,899,5,0,0,1],[0,899,6,0,0,1],[0,899,7,0,0,1],[0,899,8,0,0,1],[0,899,9,0,0,1],[0,388,1,0,0,1],[0,388,2,0,0,1],[0,388,3,0,0,1],[0,388,4,0,0,1],[0,388,5,0,0,1],[0,388,6,0,0,1],[0,388,7,0,0,1],[0,388,8,0,0,1],[0,388,9,0,0,1],[0,2436,1,0,0,1],[0,2436,2,0,0,1],[0,2436,3,0,0,1],[0,2436,4,0,0,1],[0,2436,5,0,0,1],[0,2436,6,0,0,1],[0,2436,7,0,0,1],[0,2436,8,0,0,1],[0,2436,9,0,0,1],[0,389,1,0,0,1],[0,389,2,0,0,1],[0,389,3,0,0,1],[0,389,4,0,0,1],[0,389,5,0,0,1],[0,389,6,0,0,1],[0,389,7,0,0,1],[0,389,8,0,0,1],[0,389,9,0,0,1],[0,901,1,0,0,1],[0,901,2,0,0,1],[0,901,3,0,0,1],[0,901,4,0,0,1],[0,901,5,0,0,1],[0,901,6,0,0,1],[0,901,7,0,0,1],[0,901,8,0,0,1],[0,901,9,0,0,1],[0,390,1,0,0,1],[0,390,2,0,0,1],[0,390,3,0,0,1],[0,390,4,0,0,1],[0,390,5,0,0,1],[0,390,6,0,0,1],[0,390,7,0,0,1],[0,390,8,0,0,1],[0,390,9,0,0,1],[0,1414,1,0,0,1],[0,1414,2,0,0,1],[0,1414,3,0,0,1],[0,1414,4,0,0,1],[0,1414,5,0,0,1],[0,1414,6,0,0,1],[0,1414,7,0,0,1],[0,1414,8,0,0,1],[0,1414,9,0,0,1],[0,391,1,0,0,1],[0,391,2,0,0,1],[0,391,3,0,0,1],[0,391,4,0,0,1],[0,391,5,0,0,1],[0,391,6,0,0,1],[0,391,7,0,0,1],[0,391,8,0,0,1],[0,391,9,0,0,1],[0,903,1,0,0,1],[0,903,2,0,0,1],[0,903,3,0,0,1],[0,903,4,0,0,1],[0,903,5,0,0,1],[0,903,6,0,0,1],[0,903,7,0,0,1],[0,903,8,0,0,1],[0,903,9,0,0,1],[0,392,1,0,0,1],[0,392,2,0,0,1],[0,392,3,0,0,1],[0,392,4,0,0,1],[0,392,5,0,0,1],[0,392,6,0,0,1],[0,392,7,0,0,1],[0,392,8,0,0,1],[0,392,9,0,0,1],[0,4488,1,0,0,1],[0,4488,2,0,0,1],[0,4488,3,0,0,1],[0,4488,4,0,0,1],[0,4488,5,0,0,1],[0,4488,6,0,0,1],[0,4488,7,0,0,1],[0,4488,8,0,0,1],[0,4488,9,0,0,1],[0,393,1,0,0,1],[0,393,2,0,0,1],[0,393,3,0,0,1],[0,393,4,0,0,1],[0,393,5,0,0,1],[0,393,6,0,0,1],[0,393,7,0,0,1],[0,393,8,0,0,1],[0,393,9,0,0,1],[0,905,1,0,0,1],[0,905,2,0,0,1],[0,905,3,0,0,1],[0,905,4,0,0,1],[0,905,5,0,0,1],[0,905,6,0,0,1],[0,905,7,0,0,1],[0,905,8,0,0,1],[0,905,9,0,0,1],[0,394,1,0,0,1],[0,394,2,0,0,1],[0,394,3,0,0,1],[0,394,4,0,0,1],[0,394,5,0,0,1],[0,394,6,0,0,1],[0,394,7,0,0,1],[0,394,8,0,0,1],[0,394,9,0,0,1],[0,1418,1,0,0,1],[0,1418,2,0,0,1],[0,1418,3,0,0,1],[0,1418,4,0,0,1],[0,1418,5,0,0,1],[0,1418,6,0,0,1],[0,1418,7,0,0,1],[0,1418,8,0,0,1],[0,1418,9,0,0,1],[0,395,1,0,0,1],[0,395,2,0,0,1],[0,395,3,0,0,1],[0,395,4,0,0,1],[0,395,5,0,0,1],[0,395,6,0,0,1],[0,395,7,0,0,1],[0,395,8,0,0,1],[0,395,9,0,0,1],[0,907,1,0,0,1],[0,907,2,0,0,1],[0,907,3,0,0,1],[0,907,4,0,0,1],[0,907,5,0,0,1],[0,907,6,0,0,1],[0,907,7,0,0,1],[0,907,8,0,0,1],[0,907,9,0,0,1],[0,396,1,0,0,1],[0,396,2,0,0,1],[0,396,3,0,0,1],[0,396,4,0,0,1],[0,396,5,0,0,1],[0,396,6,0,0,1],[0,396,7,0,0,1],[0,396,8,0,0,1],[0,396,9,0,0,1],[0,2444,1,0,0,1],[0,2444,2,0,0,1],[0,2444,3,0,0,1],[0,2444,4,0,0,1],[0,2444,5,0,0,1],[0,2444,6,0,0,1],[0,2444,7,0,0,1],[0,2444,8,0,0,1],[0,2444,9,0,0,1],[0,397,1,0,0,1],[0,397,2,0,0,1],[0,397,3,0,0,1],[0,397,4,0,0,1],[0,397,5,0,0,1],[0,397,6,0,0,1],[0,397,7,0,0,1],[0,397,8,0,0,1],[0,397,9,0,0,1],[0,909,1,0,0,1],[0,909,2,0,0,1],[0,909,3,0,0,1],[0,909,4,0,0,1],[0,909,5,0,0,1],[0,909,6,0,0,1],[0,909,7,0,0,1],[0,909,8,0,0,1],[0,909,9,0,0,1],[0,398,1,0,0,1],[0,398,2,0,0,1],[0,398,3,0,0,1],[0,398,4,0,0,1],[0,398,5,0,0,1],[0,398,6,0,0,1],[0,398,7,0,0,1],[0,398,8,0,0,1],[0,398,9,0,0,1],[0,1422,1,0,0,1],[0,1422,2,0,0,1],[0,1422,3,0,0,1],[0,1422,4,0,0,1],[0,1422,5,0,0,1],[0,1422,6,0,0,1],[0,1422,7,0,0,1],[0,1422,8,0,0,1],[0,1422,9,0,0,1],[0,399,1,0,0,1],[0,399,2,0,0,1],[0,399,3,0,0,1],[0,399,4,0,0,1],[0,399,5,0,0,1],[0,399,6,0,0,1],[0,399,7,0,0,1],[0,399,8,0,0,1],[0,399,9,0,0,1],[0,911,1,0,0,1],[0,911,2,0,0,1],[0,911,3,0,0,1],[0,911,4,0,0,1],[0,911,5,0,0,1],[0,911,6,0,0,1],[0,911,7,0,0,1],[0,911,8,0,0,1],[0,911,9,0,0,1],[0,400,1,0,0,1],[0,400,2,0,0,1],[0,400,3,0,0,1],[0,400,4,0,0,1],[0,400,5,0,0,1],[0,400,6,0,0,1],[0,400,7,0,0,1],[0,400,8,0,0,1],[0,400,9,0,0,1],[0,8592,1,0,0,1],[0,8592,2,0,0,1],[0,8592,3,0,0,1],[0,8592,4,0,0,1],[0,8592,5,0,0,1],[0,8592,6,0,0,1],[0,8592,7,0,0,1],[0,8592,8,0,0,1],[0,8592,9,0,0,1],[0,401,1,0,0,1],[0,401,2,0,0,1],[0,401,3,0,0,1],[0,401,4,0,0,1],[0,401,5,0,0,1],[0,401,6,0,0,1],[0,401,7,0,0,1],[0,401,8,0,0,1],[0,401,9,0,0,1],[0,913,1,0,0,1],[0,913,2,0,0,1],[0,913,3,0,0,1],[0,913,4,0,0,1],[0,913,5,0,0,1],[0,913,6,0,0,1],[0,913,7,0,0,1],[0,913,8,0,0,1],[0,913,9,0,0,1],[0,402,1,0,0,1],[0,402,2,0,0,1],[0,402,3,0,0,1],[0,402,4,0,0,1],[0,402,5,0,0,1],[0,402,6,0,0,1],[0,402,7,0,0,1],[0,402,8,0,0,1],[0,402,9,0,0,1],[0,1426,1,0,0,1],[0,1426,2,0,0,1],[0,1426,3,0,0,1],[0,1426,4,0,0,1],[0,1426,5,0,0,1],[0,1426,6,0,0,1],[0,1426,7,0,0,1],[0,1426,8,0,0,1],[0,1426,9,0,0,1],[0,403,1,0,0,1],[0,403,2,0,0,1],[0,403,3,0,0,1],[0,403,4,0,0,1],[0,403,5,0,0,1],[0,403,6,0,0,1],[0,403,7,0,0,1],[0,403,8,0,0,1],[0,403,9,0,0,1],[0,915,1,0,0,1],[0,915,2,0,0,1],[0,915,3,0,0,1],[0,915,4,0,0,1],[0,915,5,0,0,1],[0,915,6,0,0,1],[0,915,7,0,0,1],[0,915,8,0,0,1],[0,915,9,0,0,1],[0,404,1,0,0,1],[0,404,2,0,0,1],[0,404,3,0,0,1],[0,404,4,0,0,1],[0,404,5,0,0,1],[0,404,6,0,0,1],[0,404,7,0,0,1],[0,404,8,0,0,1],[0,404,9,0,0,1],[0,2452,1,0,0,1],[0,2452,2,0,0,1],[0,2452,3,0,0,1],[0,2452,4,0,0,1],[0,2452,5,0,0,1],[0,2452,6,0,0,1],[0,2452,7,0,0,1],[0,2452,8,0,0,1],[0,2452,9,0,0,1],[0,405,1,0,0,1],[0,405,2,0,0,1],[0,405,3,0,0,1],[0,405,4,0,0,1],[0,405,5,0,0,1],[0,405,6,0,0,1],[0,405,7,0,0,1],[0,405,8,0,0,1],[0,405,9,0,0,1],[0,917,1,0,0,1],[0,917,2,0,0,1],[0,917,3,0,0,1],[0,917,4,0,0,1],[0,917,5,0,0,1],[0,917,6,0,0,1],[0,917,7,0,0,1],[0,917,8,0,0,1],[0,917,9,0,0,1],[0,406,1,0,0,1],[0,406,2,0,0,1],[0,406,3,0,0,1],[0,406,4,0,0,1],[0,406,5,0,0,1],[0,406,6,0,0,1],[0,406,7,0,0,1],[0,406,8,0,0,1],[0,406,9,0,0,1],[0,1430,1,0,0,1],[0,1430,2,0,0,1],[0,1430,3,0,0,1],[0,1430,4,0,0,1],[0,1430,5,0,0,1],[0,1430,6,0,0,1],[0,1430,7,0,0,1],[0,1430,8,0,0,1],[0,1430,9,0,0,1],[0,407,1,0,0,1],[0,407,2,0,0,1],[0,407,3,0,0,1],[0,407,4,0,0,1],[0,407,5,0,0,1],[0,407,6,0,0,1],[0,407,7,0,0,1],[0,407,8,0,0,1],[0,407,9,0,0,1],[0,919,1,0,0,1],[0,919,2,0,0,1],[0,919,3,0,0,1],[0,919,4,0,0,1],[0,919,5,0,0,1],[0,919,6,0,0,1],[0,919,7,0,0,1],[0,919,8,0,0,1],[0,919,9,0,0,1],[0,408,1,0,0,1],[0,408,2,0,0,1],[0,408,3,0,0,1],[0,408,4,0,0,1],[0,408,5,0,0,1],[0,408,6,0,0,1],[0,408,7,0,0,1],[0,408,8,0,0,1],[0,408,9,0,0,1],[0,4504,1,0,0,1],[0,4504,2,0,0,1],[0,4504,3,0,0,1],[0,4504,4,0,0,1],[0,4504,5,0,0,1],[0,4504,6,0,0,1],[0,4504,7,0,0,1],[0,4504,8,0,0,1],[0,4504,9,0,0,1],[0,409,1,0,0,1],[0,409,2,0,0,1],[0,409,3,0,0,1],[0,409,4,0,0,1],[0,409,5,0,0,1],[0,409,6,0,0,1],[0,409,7,0,0,1],[0,409,8,0,0,1],[0,409,9,0,0,1],[0,921,1,0,0,1],[0,921,2,0,0,1],[0,921,3,0,0,1],[0,921,4,0,0,1],[0,921,5,0,0,1],[0,921,6,0,0,1],[0,921,7,0,0,1],[0,921,8,0,0,1],[0,921,9,0,0,1],[0,410,1,0,0,1],[0,410,2,0,0,1],[0,410,3,0,0,1],[0,410,4,0,0,1],[0,410,5,0,0,1],[0,410,6,0,0,1],[0,410,7,0,0,1],[0,410,8,0,0,1],[0,410,9,0,0,1],[0,1434,1,0,0,1],[0,1434,2,0,0,1],[0,1434,3,0,0,1],[0,1434,4,0,0,1],[0,1434,5,0,0,1],[0,1434,6,0,0,1],[0,1434,7,0,0,1],[0,1434,8,0,0,1],[0,1434,9,0,0,1],[0,411,1,0,0,1],[0,411,2,0,0,1],[0,411,3,0,0,1],[0,411,4,0,0,1],[0,411,5,0,0,1],[0,411,6,0,0,1],[0,411,7,0,0,1],[0,411,8,0,0,1],[0,411,9,0,0,1],[0,923,1,0,0,1],[0,923,2,0,0,1],[0,923,3,0,0,1],[0,923,4,0,0,1],[0,923,5,0,0,1],[0,923,6,0,0,1],[0,923,7,0,0,1],[0,923,8,0,0,1],[0,923,9,0,0,1],[0,412,1,0,0,1],[0,412,2,0,0,1],[0,412,3,0,0,1],[0,412,4,0,0,1],[0,412,5,0,0,1],[0,412,6,0,0,1],[0,412,7,0,0,1],[0,412,8,0,0,1],[0,412,9,0,0,1],[0,2460,1,0,0,1],[0,2460,2,0,0,1],[0,2460,3,0,0,1],[0,2460,4,0,0,1],[0,2460,5,0,0,1],[0,2460,6,0,0,1],[0,2460,7,0,0,1],[0,2460,8,0,0,1],[0,2460,9,0,0,1],[0,413,1,0,0,1],[0,413,2,0,0,1],[0,413,3,0,0,1],[0,413,4,0,0,1],[0,413,5,0,0,1],[0,413,6,0,0,1],[0,413,7,0,0,1],[0,413,8,0,0,1],[0,413,9,0,0,1],[0,925,1,0,0,1],[0,925,2,0,0,1],[0,925,3,0,0,1],[0,925,4,0,0,1],[0,925,5,0,0,1],[0,925,6,0,0,1],[0,925,7,0,0,1],[0,925,8,0,0,1],[0,925,9,0,0,1],[0,414,1,0,0,1],[0,414,2,0,0,1],[0,414,3,0,0,1],[0,414,4,0,0,1],[0,414,5,0,0,1],[0,414,6,0,0,1],[0,414,7,0,0,1],[0,414,8,0,0,1],[0,414,9,0,0,1],[0,1438,1,0,0,1],[0,1438,2,0,0,1],[0,1438,3,0,0,1],[0,1438,4,0,0,1],[0,1438,5,0,0,1],[0,1438,6,0,0,1],[0,1438,7,0,0,1],[0,1438,8,0,0,1],[0,1438,9,0,0,1],[0,415,1,0,0,1],[0,415,2,0,0,1],[0,415,3,0,0,1],[0,415,4,0,0,1],[0,415,5,0,0,1],[0,415,6,0,0,1],[0,415,7,0,0,1],[0,415,8,0,0,1],[0,415,9,0,0,1],[0,927,1,0,0,1],[0,927,2,0,0,1],[0,927,3,0,0,1],[0,927,4,0,0,1],[0,927,5,0,0,1],[0,927,6,0,0,1],[0,927,7,0,0,1],[0,927,8,0,0,1],[0,927,9,0,0,1],[0,416,1,0,0,1],[0,416,2,0,0,1],[0,416,3,0,0,1],[0,416,4,0,0,1],[0,416,5,0,0,1],[0,416,6,0,0,1],[0,416,7,0,0,1],[0,416,8,0,0,1],[0,416,9,0,0,1],[0,16800,1,0,0,1],[0,16800,2,0,0,1],[0,16800,3,0,0,1],[0,16800,4,0,0,1],[0,16800,5,0,0,1],[0,16800,6,0,0,1],[0,16800,7,0,0,1],[0,16800,8,0,0,1],[0,16800,9,0,0,1],[0,417,1,0,0,1],[0,417,2,0,0,1],[0,417,3,0,0,1],[0,417,4,0,0,1],[0,417,5,0,0,1],[0,417,6,0,0,1],[0,417,7,0,0,1],[0,417,8,0,0,1],[0,417,9,0,0,1],[0,929,1,0,0,1],[0,929,2,0,0,1],[0,929,3,0,0,1],[0,929,4,0,0,1],[0,929,5,0,0,1],[0,929,6,0,0,1],[0,929,7,0,0,1],[0,929,8,0,0,1],[0,929,9,0,0,1],[0,418,1,0,0,1],[0,418,2,0,0,1],[0,418,3,0,0,1],[0,418,4,0,0,1],[0,418,5,0,0,1],[0,418,6,0,0,1],[0,418,7,0,0,1],[0,418,8,0,0,1],[0,418,9,0,0,1],[0,1442,1,0,0,1],[0,1442,2,0,0,1],[0,1442,3,0,0,1],[0,1442,4,0,0,1],[0,1442,5,0,0,1],[0,1442,6,0,0,1],[0,1442,7,0,0,1],[0,1442,8,0,0,1],[0,1442,9,0,0,1],[0,419,1,0,0,1],[0,419,2,0,0,1],[0,419,3,0,0,1],[0,419,4,0,0,1],[0,419,5,0,0,1],[0,419,6,0,0,1],[0,419,7,0,0,1],[0,419,8,0,0,1],[0,419,9,0,0,1],[0,931,1,0,0,1],[0,931,2,0,0,1],[0,931,3,0,0,1],[0,931,4,0,0,1],[0,931,5,0,0,1],[0,931,6,0,0,1],[0,931,7,0,0,1],[0,931,8,0,0,1],[0,931,9,0,0,1],[0,420,1,0,0,1],[0,420,2,0,0,1],[0,420,3,0,0,1],[0,420,4,0,0,1],[0,420,5,0,0,1],[0,420,6,0,0,1],[0,420,7,0,0,1],[0,420,8,0,0,1],[0,420,9,0,0,1],[0,2468,1,0,0,1],[0,2468,2,0,0,1],[0,2468,3,0,0,1],[0,2468,4,0,0,1],[0,2468,5,0,0,1],[0,2468,6,0,0,1],[0,2468,7,0,0,1],[0,2468,8,0,0,1],[0,2468,9,0,0,1],[0,421,1,0,0,1],[0,421,2,0,0,1],[0,421,3,0,0,1],[0,421,4,0,0,1],[0,421,5,0,0,1],[0,421,6,0,0,1],[0,421,7,0,0,1],[0,421,8,0,0,1],[0,421,9,0,0,1],[0,933,1,0,0,1],[0,933,2,0,0,1],[0,933,3,0,0,1],[0,933,4,0,0,1],[0,933,5,0,0,1],[0,933,6,0,0,1],[0,933,7,0,0,1],[0,933,8,0,0,1],[0,933,9,0,0,1],[0,422,1,0,0,1],[0,422,2,0,0,1],[0,422,3,0,0,1],[0,422,4,0,0,1],[0,422,5,0,0,1],[0,422,6,0,0,1],[0,422,7,0,0,1],[0,422,8,0,0,1],[0,422,9,0,0,1],[0,1446,1,0,0,1],[0,1446,2,0,0,1],[0,1446,3,0,0,1],[0,1446,4,0,0,1],[0,1446,5,0,0,1],[0,1446,6,0,0,1],[0,1446,7,0,0,1],[0,1446,8,0,0,1],[0,1446,9,0,0,1],[0,423,1,0,0,1],[0,423,2,0,0,1],[0,423,3,0,0,1],[0,423,4,0,0,1],[0,423,5,0,0,1],[0,423,6,0,0,1],[0,423,7,0,0,1],[0,423,8,0,0,1],[0,423,9,0,0,1],[0,935,1,0,0,1],[0,935,2,0,0,1],[0,935,3,0,0,1],[0,935,4,0,0,1],[0,935,5,0,0,1],[0,935,6,0,0,1],[0,935,7,0,0,1],[0,935,8,0,0,1],[0,935,9,0,0,1],[0,424,1,0,0,1],[0,424,2,0,0,1],[0,424,3,0,0,1],[0,424,4,0,0,1],[0,424,5,0,0,1],[0,424,6,0,0,1],[0,424,7,0,0,1],[0,424,8,0,0,1],[0,424,9,0,0,1],[0,4520,1,0,0,1],[0,4520,2,0,0,1],[0,4520,3,0,0,1],[0,4520,4,0,0,1],[0,4520,5,0,0,1],[0,4520,6,0,0,1],[0,4520,7,0,0,1],[0,4520,8,0,0,1],[0,4520,9,0,0,1],[0,425,1,0,0,1],[0,425,2,0,0,1],[0,425,3,0,0,1],[0,425,4,0,0,1],[0,425,5,0,0,1],[0,425,6,0,0,1],[0,425,7,0,0,1],[0,425,8,0,0,1],[0,425,9,0,0,1],[0,937,1,0,0,1],[0,937,2,0,0,1],[0,937,3,0,0,1],[0,937,4,0,0,1],[0,937,5,0,0,1],[0,937,6,0,0,1],[0,937,7,0,0,1],[0,937,8,0,0,1],[0,937,9,0,0,1],[0,426,1,0,0,1],[0,426,2,0,0,1],[0,426,3,0,0,1],[0,426,4,0,0,1],[0,426,5,0,0,1],[0,426,6,0,0,1],[0,426,7,0,0,1],[0,426,8,0,0,1],[0,426,9,0,0,1],[0,1450,1,0,0,1],[0,1450,2,0,0,1],[0,1450,3,0,0,1],[0,1450,4,0,0,1],[0,1450,5,0,0,1],[0,1450,6,0,0,1],[0,1450,7,0,0,1],[0,1450,8,0,0,1],[0,1450,9,0,0,1],[0,427,1,0,0,1],[0,427,2,0,0,1],[0,427,3,0,0,1],[0,427,4,0,0,1],[0,427,5,0,0,1],[0,427,6,0,0,1],[0,427,7,0,0,1],[0,427,8,0,0,1],[0,427,9,0,0,1],[0,939,1,0,0,1],[0,939,2,0,0,1],[0,939,3,0,0,1],[0,939,4,0,0,1],[0,939,5,0,0,1],[0,939,6,0,0,1],[0,939,7,0,0,1],[0,939,8,0,0,1],[0,939,9,0,0,1],[0,428,1,0,0,1],[0,428,2,0,0,1],[0,428,3,0,0,1],[0,428,4,0,0,1],[0,428,5,0,0,1],[0,428,6,0,0,1],[0,428,7,0,0,1],[0,428,8,0,0,1],[0,428,9,0,0,1],[0,2476,1,0,0,1],[0,2476,2,0,0,1],[0,2476,3,0,0,1],[0,2476,4,0,0,1],[0,2476,5,0,0,1],[0,2476,6,0,0,1],[0,2476,7,0,0,1],[0,2476,8,0,0,1],[0,2476,9,0,0,1],[0,429,1,0,0,1],[0,429,2,0,0,1],[0,429,3,0,0,1],[0,429,4,0,0,1],[0,429,5,0,0,1],[0,429,6,0,0,1],[0,429,7,0,0,1],[0,429,8,0,0,1],[0,429,9,0,0,1],[0,941,1,0,0,1],[0,941,2,0,0,1],[0,941,3,0,0,1],[0,941,4,0,0,1],[0,941,5,0,0,1],[0,941,6,0,0,1],[0,941,7,0,0,1],[0,941,8,0,0,1],[0,941,9,0,0,1],[0,430,1,0,0,1],[0,430,2,0,0,1],[0,430,3,0,0,1],[0,430,4,0,0,1],[0,430,5,0,0,1],[0,430,6,0,0,1],[0,430,7,0,0,1],[0,430,8,0,0,1],[0,430,9,0,0,1],[0,1454,1,0,0,1],[0,1454,2,0,0,1],[0,1454,3,0,0,1],[0,1454,4,0,0,1],[0,1454,5,0,0,1],[0,1454,6,0,0,1],[0,1454,7,0,0,1],[0,1454,8,0,0,1],[0,1454,9,0,0,1],[0,431,1,0,0,1],[0,431,2,0,0,1],[0,431,3,0,0,1],[0,431,4,0,0,1],[0,431,5,0,0,1],[0,431,6,0,0,1],[0,431,7,0,0,1],[0,431,8,0,0,1],[0,431,9,0,0,1],[0,943,1,0,0,1],[0,943,2,0,0,1],[0,943,3,0,0,1],[0,943,4,0,0,1],[0,943,5,0,0,1],[0,943,6,0,0,1],[0,943,7,0,0,1],[0,943,8,0,0,1],[0,943,9,0,0,1],[0,432,1,0,0,1],[0,432,2,0,0,1],[0,432,3,0,0,1],[0,432,4,0,0,1],[0,432,5,0,0,1],[0,432,6,0,0,1],[0,432,7,0,0,1],[0,432,8,0,0,1],[0,432,9,0,0,1],[0,8624,1,0,0,1],[0,8624,2,0,0,1],[0,8624,3,0,0,1],[0,8624,4,0,0,1],[0,8624,5,0,0,1],[0,8624,6,0,0,1],[0,8624,7,0,0,1],[0,8624,8,0,0,1],[0,8624,9,0,0,1],[0,433,1,0,0,1],[0,433,2,0,0,1],[0,433,3,0,0,1],[0,433,4,0,0,1],[0,433,5,0,0,1],[0,433,6,0,0,1],[0,433,7,0,0,1],[0,433,8,0,0,1],[0,433,9,0,0,1],[0,945,1,0,0,1],[0,945,2,0,0,1],[0,945,3,0,0,1],[0,945,4,0,0,1],[0,945,5,0,0,1],[0,945,6,0,0,1],[0,945,7,0,0,1],[0,945,8,0,0,1],[0,945,9,0,0,1],[0,434,1,0,0,1],[0,434,2,0,0,1],[0,434,3,0,0,1],[0,434,4,0,0,1],[0,434,5,0,0,1],[0,434,6,0,0,1],[0,434,7,0,0,1],[0,434,8,0,0,1],[0,434,9,0,0,1],[0,1458,1,0,0,1],[0,1458,2,0,0,1],[0,1458,3,0,0,1],[0,1458,4,0,0,1],[0,1458,5,0,0,1],[0,1458,6,0,0,1],[0,1458,7,0,0,1],[0,1458,8,0,0,1],[0,1458,9,0,0,1],[0,435,1,0,0,1],[0,435,2,0,0,1],[0,435,3,0,0,1],[0,435,4,0,0,1],[0,435,5,0,0,1],[0,435,6,0,0,1],[0,435,7,0,0,1],[0,435,8,0,0,1],[0,435,9,0,0,1],[0,947,1,0,0,1],[0,947,2,0,0,1],[0,947,3,0,0,1],[0,947,4,0,0,1],[0,947,5,0,0,1],[0,947,6,0,0,1],[0,947,7,0,0,1],[0,947,8,0,0,1],[0,947,9,0,0,1],[0,436,1,0,0,1],[0,436,2,0,0,1],[0,436,3,0,0,1],[0,436,4,0,0,1],[0,436,5,0,0,1],[0,436,6,0,0,1],[0,436,7,0,0,1],[0,436,8,0,0,1],[0,436,9,0,0,1],[0,2484,1,0,0,1],[0,2484,2,0,0,1],[0,2484,3,0,0,1],[0,2484,4,0,0,1],[0,2484,5,0,0,1],[0,2484,6,0,0,1],[0,2484,7,0,0,1],[0,2484,8,0,0,1],[0,2484,9,0,0,1],[0,437,1,0,0,1],[0,437,2,0,0,1],[0,437,3,0,0,1],[0,437,4,0,0,1],[0,437,5,0,0,1],[0,437,6,0,0,1],[0,437,7,0,0,1],[0,437,8,0,0,1],[0,437,9,0,0,1],[0,949,1,0,0,1],[0,949,2,0,0,1],[0,949,3,0,0,1],[0,949,4,0,0,1],[0,949,5,0,0,1],[0,949,6,0,0,1],[0,949,7,0,0,1],[0,949,8,0,0,1],[0,949,9,0,0,1],[0,438,1,0,0,1],[0,438,2,0,0,1],[0,438,3,0,0,1],[0,438,4,0,0,1],[0,438,5,0,0,1],[0,438,6,0,0,1],[0,438,7,0,0,1],[0,438,8,0,0,1],[0,438,9,0,0,1],[0,1462,1,0,0,1],[0,1462,2,0,0,1],[0,1462,3,0,0,1],[0,1462,4,0,0,1],[0,1462,5,0,0,1],[0,1462,6,0,0,1],[0,1462,7,0,0,1],[0,1462,8,0,0,1],[0,1462,9,0,0,1],[0,439,1,0,0,1],[0,439,2,0,0,1],[0,439,3,0,0,1],[0,439,4,0,0,1],[0,439,5,0,0,1],[0,439,6,0,0,1],[0,439,7,0,0,1],[0,439,8,0,0,1],[0,439,9,0,0,1],[0,951,1,0,0,1],[0,951,2,0,0,1],[0,951,3,0,0,1],[0,951,4,0,0,1],[0,951,5,0,0,1],[0,951,6,0,0,1],[0,951,7,0,0,1],[0,951,8,0,0,1],[0,951,9,0,0,1],[0,440,1,0,0,1],[0,440,2,0,0,1],[0,440,3,0,0,1],[0,440,4,0,0,1],[0,440,5,0,0,1],[0,440,6,0,0,1],[0,440,7,0,0,1],[0,440,8,0,0,1],[0,440,9,0,0,1],[0,4536,1,0,0,1],[0,4536,2,0,0,1],[0,4536,3,0,0,1],[0,4536,4,0,0,1],[0,4536,5,0,0,1],[0,4536,6,0,0,1],[0,4536,7,0,0,1],[0,4536,8,0,0,1],[0,4536,9,0,0,1],[0,441,1,0,0,1],[0,441,2,0,0,1],[0,441,3,0,0,1],[0,441,4,0,0,1],[0,441,5,0,0,1],[0,441,6,0,0,1],[0,441,7,0,0,1],[0,441,8,0,0,1],[0,441,9,0,0,1],[0,953,1,0,0,1],[0,953,2,0,0,1],[0,953,3,0,0,1],[0,953,4,0,0,1],[0,953,5,0,0,1],[0,953,6,0,0,1],[0,953,7,0,0,1],[0,953,8,0,0,1],[0,953,9,0,0,1],[0,442,1,0,0,1],[0,442,2,0,0,1],[0,442,3,0,0,1],[0,442,4,0,0,1],[0,442,5,0,0,1],[0,442,6,0,0,1],[0,442,7,0,0,1],[0,442,8,0,0,1],[0,442,9,0,0,1],[0,1466,1,0,0,1],[0,1466,2,0,0,1],[0,1466,3,0,0,1],[0,1466,4,0,0,1],[0,1466,5,0,0,1],[0,1466,6,0,0,1],[0,1466,7,0,0,1],[0,1466,8,0,0,1],[0,1466,9,0,0,1],[0,443,1,0,0,1],[0,443,2,0,0,1],[0,443,3,0,0,1],[0,443,4,0,0,1],[0,443,5,0,0,1],[0,443,6,0,0,1],[0,443,7,0,0,1],[0,443,8,0,0,1],[0,443,9,0,0,1],[0,955,1,0,0,1],[0,955,2,0,0,1],[0,955,3,0,0,1],[0,955,4,0,0,1],[0,955,5,0,0,1],[0,955,6,0,0,1],[0,955,7,0,0,1],[0,955,8,0,0,1],[0,955,9,0,0,1],[0,444,1,0,0,1],[0,444,2,0,0,1],[0,444,3,0,0,1],[0,444,4,0,0,1],[0,444,5,0,0,1],[0,444,6,0,0,1],[0,444,7,0,0,1],[0,444,8,0,0,1],[0,444,9,0,0,1],[0,2492,1,0,0,1],[0,2492,2,0,0,1],[0,2492,3,0,0,1],[0,2492,4,0,0,1],[0,2492,5,0,0,1],[0,2492,6,0,0,1],[0,2492,7,0,0,1],[0,2492,8,0,0,1],[0,2492,9,0,0,1],[0,445,1,0,0,1],[0,445,2,0,0,1],[0,445,3,0,0,1],[0,445,4,0,0,1],[0,445,5,0,0,1],[0,445,6,0,0,1],[0,445,7,0,0,1],[0,445,8,0,0,1],[0,445,9,0,0,1],[0,957,1,0,0,1],[0,957,2,0,0,1],[0,957,3,0,0,1],[0,957,4,0,0,1],[0,957,5,0,0,1],[0,957,6,0,0,1],[0,957,7,0,0,1],[0,957,8,0,0,1],[0,957,9,0,0,1],[0,446,1,0,0,1],[0,446,2,0,0,1],[0,446,3,0,0,1],[0,446,4,0,0,1],[0,446,5,0,0,1],[0,446,6,0,0,1],[0,446,7,0,0,1],[0,446,8,0,0,1],[0,446,9,0,0,1],[0,1470,1,0,0,1],[0,1470,2,0,0,1],[0,1470,3,0,0,1],[0,1470,4,0,0,1],[0,1470,5,0,0,1],[0,1470,6,0,0,1],[0,1470,7,0,0,1],[0,1470,8,0,0,1],[0,1470,9,0,0,1],[0,447,1,0,0,1],[0,447,2,0,0,1],[0,447,3,0,0,1],[0,447,4,0,0,1],[0,447,5,0,0,1],[0,447,6,0,0,1],[0,447,7,0,0,1],[0,447,8,0,0,1],[0,447,9,0,0,1],[0,959,1,0,0,1],[0,959,2,0,0,1],[0,959,3,0,0,1],[0,959,4,0,0,1],[0,959,5,0,0,1],[0,959,6,0,0,1],[0,959,7,0,0,1],[0,959,8,0,0,1],[0,959,9,0,0,1],[0,448,1,0,0,1],[0,448,2,0,0,1],[0,448,3,0,0,1],[0,448,4,0,0,1],[0,448,5,0,0,1],[0,448,6,0,0,1],[0,448,7,0,0,1],[0,448,8,0,0,1],[0,448,9,0,0,1],[0,33216,1,0,0,1],[0,33216,2,0,0,1],[0,33216,3,0,0,1],[0,33216,4,0,0,1],[0,33216,5,0,0,1],[0,33216,6,0,0,1],[0,33216,7,0,0,1],[0,33216,8,0,0,1],[0,33216,9,0,0,1],[0,449,1,0,0,1],[0,449,2,0,0,1],[0,449,3,0,0,1],[0,449,4,0,0,1],[0,449,5,0,0,1],[0,449,6,0,0,1],[0,449,7,0,0,1],[0,449,8,0,0,1],[0,449,9,0,0,1],[0,961,1,0,0,1],[0,961,2,0,0,1],[0,961,3,0,0,1],[0,961,4,0,0,1],[0,961,5,0,0,1],[0,961,6,0,0,1],[0,961,7,0,0,1],[0,961,8,0,0,1],[0,961,9,0,0,1],[0,450,1,0,0,1],[0,450,2,0,0,1],[0,450,3,0,0,1],[0,450,4,0,0,1],[0,450,5,0,0,1],[0,450,6,0,0,1],[0,450,7,0,0,1],[0,450,8,0,0,1],[0,450,9,0,0,1],[0,1474,1,0,0,1],[0,1474,2,0,0,1],[0,1474,3,0,0,1],[0,1474,4,0,0,1],[0,1474,5,0,0,1],[0,1474,6,0,0,1],[0,1474,7,0,0,1],[0,1474,8,0,0,1],[0,1474,9,0,0,1],[0,451,1,0,0,1],[0,451,2,0,0,1],[0,451,3,0,0,1],[0,451,4,0,0,1],[0,451,5,0,0,1],[0,451,6,0,0,1],[0,451,7,0,0,1],[0,451,8,0,0,1],[0,451,9,0,0,1],[0,963,1,0,0,1],[0,963,2,0,0,1],[0,963,3,0,0,1],[0,963,4,0,0,1],[0,963,5,0,0,1],[0,963,6,0,0,1],[0,963,7,0,0,1],[0,963,8,0,0,1],[0,963,9,0,0,1],[0,452,1,0,0,1],[0,452,2,0,0,1],[0,452,3,0,0,1],[0,452,4,0,0,1],[0,452,5,0,0,1],[0,452,6,0,0,1],[0,452,7,0,0,1],[0,452,8,0,0,1],[0,452,9,0,0,1],[0,2500,1,0,0,1],[0,2500,2,0,0,1],[0,2500,3,0,0,1],[0,2500,4,0,0,1],[0,2500,5,0,0,1],[0,2500,6,0,0,1],[0,2500,7,0,0,1],[0,2500,8,0,0,1],[0,2500,9,0,0,1],[0,453,1,0,0,1],[0,453,2,0,0,1],[0,453,3,0,0,1],[0,453,4,0,0,1],[0,453,5,0,0,1],[0,453,6,0,0,1],[0,453,7,0,0,1],[0,453,8,0,0,1],[0,453,9,0,0,1],[0,965,1,0,0,1],[0,965,2,0,0,1],[0,965,3,0,0,1],[0,965,4,0,0,1],[0,965,5,0,0,1],[0,965,6,0,0,1],[0,965,7,0,0,1],[0,965,8,0,0,1],[0,965,9,0,0,1],[0,454,1,0,0,1],[0,454,2,0,0,1],[0,454,3,0,0,1],[0,454,4,0,0,1],[0,454,5,0,0,1],[0,454,6,0,0,1],[0,454,7,0,0,1],[0,454,8,0,0,1],[0,454,9,0,0,1],[0,1478,1,0,0,1],[0,1478,2,0,0,1],[0,1478,3,0,0,1],[0,1478,4,0,0,1],[0,1478,5,0,0,1],[0,1478,6,0,0,1],[0,1478,7,0,0,1],[0,1478,8,0,0,1],[0,1478,9,0,0,1],[0,455,1,0,0,1],[0,455,2,0,0,1],[0,455,3,0,0,1],[0,455,4,0,0,1],[0,455,5,0,0,1],[0,455,6,0,0,1],[0,455,7,0,0,1],[0,455,8,0,0,1],[0,455,9,0,0,1],[0,967,1,0,0,1],[0,967,2,0,0,1],[0,967,3,0,0,1],[0,967,4,0,0,1],[0,967,5,0,0,1],[0,967,6,0,0,1],[0,967,7,0,0,1],[0,967,8,0,0,1],[0,967,9,0,0,1],[0,456,1,0,0,1],[0,456,2,0,0,1],[0,456,3,0,0,1],[0,456,4,0,0,1],[0,456,5,0,0,1],[0,456,6,0,0,1],[0,456,7,0,0,1],[0,456,8,0,0,1],[0,456,9,0,0,1],[0,4552,1,0,0,1],[0,4552,2,0,0,1],[0,4552,3,0,0,1],[0,4552,4,0,0,1],[0,4552,5,0,0,1],[0,4552,6,0,0,1],[0,4552,7,0,0,1],[0,4552,8,0,0,1],[0,4552,9,0,0,1],[0,457,1,0,0,1],[0,457,2,0,0,1],[0,457,3,0,0,1],[0,457,4,0,0,1],[0,457,5,0,0,1],[0,457,6,0,0,1],[0,457,7,0,0,1],[0,457,8,0,0,1],[0,457,9,0,0,1],[0,969,1,0,0,1],[0,969,2,0,0,1],[0,969,3,0,0,1],[0,969,4,0,0,1],[0,969,5,0,0,1],[0,969,6,0,0,1],[0,969,7,0,0,1],[0,969,8,0,0,1],[0,969,9,0,0,1],[0,458,1,0,0,1],[0,458,2,0,0,1],[0,458,3,0,0,1],[0,458,4,0,0,1],[0,458,5,0,0,1],[0,458,6,0,0,1],[0,458,7,0,0,1],[0,458,8,0,0,1],[0,458,9,0,0,1],[0,1482,1,0,0,1],[0,1482,2,0,0,1],[0,1482,3,0,0,1],[0,1482,4,0,0,1],[0,1482,5,0,0,1],[0,1482,6,0,0,1],[0,1482,7,0,0,1],[0,1482,8,0,0,1],[0,1482,9,0,0,1],[0,459,1,0,0,1],[0,459,2,0,0,1],[0,459,3,0,0,1],[0,459,4,0,0,1],[0,459,5,0,0,1],[0,459,6,0,0,1],[0,459,7,0,0,1],[0,459,8,0,0,1],[0,459,9,0,0,1],[0,971,1,0,0,1],[0,971,2,0,0,1],[0,971,3,0,0,1],[0,971,4,0,0,1],[0,971,5,0,0,1],[0,971,6,0,0,1],[0,971,7,0,0,1],[0,971,8,0,0,1],[0,971,9,0,0,1],[0,460,1,0,0,1],[0,460,2,0,0,1],[0,460,3,0,0,1],[0,460,4,0,0,1],[0,460,5,0,0,1],[0,460,6,0,0,1],[0,460,7,0,0,1],[0,460,8,0,0,1],[0,460,9,0,0,1],[0,2508,1,0,0,1],[0,2508,2,0,0,1],[0,2508,3,0,0,1],[0,2508,4,0,0,1],[0,2508,5,0,0,1],[0,2508,6,0,0,1],[0,2508,7,0,0,1],[0,2508,8,0,0,1],[0,2508,9,0,0,1],[0,461,1,0,0,1],[0,461,2,0,0,1],[0,461,3,0,0,1],[0,461,4,0,0,1],[0,461,5,0,0,1],[0,461,6,0,0,1],[0,461,7,0,0,1],[0,461,8,0,0,1],[0,461,9,0,0,1],[0,973,1,0,0,1],[0,973,2,0,0,1],[0,973,3,0,0,1],[0,973,4,0,0,1],[0,973,5,0,0,1],[0,973,6,0,0,1],[0,973,7,0,0,1],[0,973,8,0,0,1],[0,973,9,0,0,1],[0,462,1,0,0,1],[0,462,2,0,0,1],[0,462,3,0,0,1],[0,462,4,0,0,1],[0,462,5,0,0,1],[0,462,6,0,0,1],[0,462,7,0,0,1],[0,462,8,0,0,1],[0,462,9,0,0,1],[0,1486,1,0,0,1],[0,1486,2,0,0,1],[0,1486,3,0,0,1],[0,1486,4,0,0,1],[0,1486,5,0,0,1],[0,1486,6,0,0,1],[0,1486,7,0,0,1],[0,1486,8,0,0,1],[0,1486,9,0,0,1],[0,463,1,0,0,1],[0,463,2,0,0,1],[0,463,3,0,0,1],[0,463,4,0,0,1],[0,463,5,0,0,1],[0,463,6,0,0,1],[0,463,7,0,0,1],[0,463,8,0,0,1],[0,463,9,0,0,1],[0,975,1,0,0,1],[0,975,2,0,0,1],[0,975,3,0,0,1],[0,975,4,0,0,1],[0,975,5,0,0,1],[0,975,6,0,0,1],[0,975,7,0,0,1],[0,975,8,0,0,1],[0,975,9,0,0,1],[0,464,1,0,0,1],[0,464,2,0,0,1],[0,464,3,0,0,1],[0,464,4,0,0,1],[0,464,5,0,0,1],[0,464,6,0,0,1],[0,464,7,0,0,1],[0,464,8,0,0,1],[0,464,9,0,0,1],[0,8656,1,0,0,1],[0,8656,2,0,0,1],[0,8656,3,0,0,1],[0,8656,4,0,0,1],[0,8656,5,0,0,1],[0,8656,6,0,0,1],[0,8656,7,0,0,1],[0,8656,8,0,0,1],[0,8656,9,0,0,1],[0,465,1,0,0,1],[0,465,2,0,0,1],[0,465,3,0,0,1],[0,465,4,0,0,1],[0,465,5,0,0,1],[0,465,6,0,0,1],[0,465,7,0,0,1],[0,465,8,0,0,1],[0,465,9,0,0,1],[0,977,1,0,0,1],[0,977,2,0,0,1],[0,977,3,0,0,1],[0,977,4,0,0,1],[0,977,5,0,0,1],[0,977,6,0,0,1],[0,977,7,0,0,1],[0,977,8,0,0,1],[0,977,9,0,0,1],[0,466,1,0,0,1],[0,466,2,0,0,1],[0,466,3,0,0,1],[0,466,4,0,0,1],[0,466,5,0,0,1],[0,466,6,0,0,1],[0,466,7,0,0,1],[0,466,8,0,0,1],[0,466,9,0,0,1],[0,1490,1,0,0,1],[0,1490,2,0,0,1],[0,1490,3,0,0,1],[0,1490,4,0,0,1],[0,1490,5,0,0,1],[0,1490,6,0,0,1],[0,1490,7,0,0,1],[0,1490,8,0,0,1],[0,1490,9,0,0,1],[0,467,1,0,0,1],[0,467,2,0,0,1],[0,467,3,0,0,1],[0,467,4,0,0,1],[0,467,5,0,0,1],[0,467,6,0,0,1],[0,467,7,0,0,1],[0,467,8,0,0,1],[0,467,9,0,0,1],[0,979,1,0,0,1],[0,979,2,0,0,1],[0,979,3,0,0,1],[0,979,4,0,0,1],[0,979,5,0,0,1],[0,979,6,0,0,1],[0,979,7,0,0,1],[0,979,8,0,0,1],[0,979,9,0,0,1],[0,468,1,0,0,1],[0,468,2,0,0,1],[0,468,3,0,0,1],[0,468,4,0,0,1],[0,468,5,0,0,1],[0,468,6,0,0,1],[0,468,7,0,0,1],[0,468,8,0,0,1],[0,468,9,0,0,1],[0,2516,1,0,0,1],[0,2516,2,0,0,1],[0,2516,3,0,0,1],[0,2516,4,0,0,1],[0,2516,5,0,0,1],[0,2516,6,0,0,1],[0,2516,7,0,0,1],[0,2516,8,0,0,1],[0,2516,9,0,0,1],[0,469,1,0,0,1],[0,469,2,0,0,1],[0,469,3,0,0,1],[0,469,4,0,0,1],[0,469,5,0,0,1],[0,469,6,0,0,1],[0,469,7,0,0,1],[0,469,8,0,0,1],[0,469,9,0,0,1],[0,981,1,0,0,1],[0,981,2,0,0,1],[0,981,3,0,0,1],[0,981,4,0,0,1],[0,981,5,0,0,1],[0,981,6,0,0,1],[0,981,7,0,0,1],[0,981,8,0,0,1],[0,981,9,0,0,1],[0,470,1,0,0,1],[0,470,2,0,0,1],[0,470,3,0,0,1],[0,470,4,0,0,1],[0,470,5,0,0,1],[0,470,6,0,0,1],[0,470,7,0,0,1],[0,470,8,0,0,1],[0,470,9,0,0,1],[0,1494,1,0,0,1],[0,1494,2,0,0,1],[0,1494,3,0,0,1],[0,1494,4,0,0,1],[0,1494,5,0,0,1],[0,1494,6,0,0,1],[0,1494,7,0,0,1],[0,1494,8,0,0,1],[0,1494,9,0,0,1],[0,471,1,0,0,1],[0,471,2,0,0,1],[0,471,3,0,0,1],[0,471,4,0,0,1],[0,471,5,0,0,1],[0,471,6,0,0,1],[0,471,7,0,0,1],[0,471,8,0,0,1],[0,471,9,0,0,1],[0,983,1,0,0,1],[0,983,2,0,0,1],[0,983,3,0,0,1],[0,983,4,0,0,1],[0,983,5,0,0,1],[0,983,6,0,0,1],[0,983,7,0,0,1],[0,983,8,0,0,1],[0,983,9,0,0,1],[0,472,1,0,0,1],[0,472,2,0,0,1],[0,472,3,0,0,1],[0,472,4,0,0,1],[0,472,5,0,0,1],[0,472,6,0,0,1],[0,472,7,0,0,1],[0,472,8,0,0,1],[0,472,9,0,0,1],[0,4568,1,0,0,1],[0,4568,2,0,0,1],[0,4568,3,0,0,1],[0,4568,4,0,0,1],[0,4568,5,0,0,1],[0,4568,6,0,0,1],[0,4568,7,0,0,1],[0,4568,8,0,0,1],[0,4568,9,0,0,1],[0,473,1,0,0,1],[0,473,2,0,0,1],[0,473,3,0,0,1],[0,473,4,0,0,1],[0,473,5,0,0,1],[0,473,6,0,0,1],[0,473,7,0,0,1],[0,473,8,0,0,1],[0,473,9,0,0,1],[0,985,1,0,0,1],[0,985,2,0,0,1],[0,985,3,0,0,1],[0,985,4,0,0,1],[0,985,5,0,0,1],[0,985,6,0,0,1],[0,985,7,0,0,1],[0,985,8,0,0,1],[0,985,9,0,0,1],[0,474,1,0,0,1],[0,474,2,0,0,1],[0,474,3,0,0,1],[0,474,4,0,0,1],[0,474,5,0,0,1],[0,474,6,0,0,1],[0,474,7,0,0,1],[0,474,8,0,0,1],[0,474,9,0,0,1],[0,1498,1,0,0,1],[0,1498,2,0,0,1],[0,1498,3,0,0,1],[0,1498,4,0,0,1],[0,1498,5,0,0,1],[0,1498,6,0,0,1],[0,1498,7,0,0,1],[0,1498,8,0,0,1],[0,1498,9,0,0,1],[0,475,1,0,0,1],[0,475,2,0,0,1],[0,475,3,0,0,1],[0,475,4,0,0,1],[0,475,5,0,0,1],[0,475,6,0,0,1],[0,475,7,0,0,1],[0,475,8,0,0,1],[0,475,9,0,0,1],[0,987,1,0,0,1],[0,987,2,0,0,1],[0,987,3,0,0,1],[0,987,4,0,0,1],[0,987,5,0,0,1],[0,987,6,0,0,1],[0,987,7,0,0,1],[0,987,8,0,0,1],[0,987,9,0,0,1],[0,476,1,0,0,1],[0,476,2,0,0,1],[0,476,3,0,0,1],[0,476,4,0,0,1],[0,476,5,0,0,1],[0,476,6,0,0,1],[0,476,7,0,0,1],[0,476,8,0,0,1],[0,476,9,0,0,1],[0,2524,1,0,0,1],[0,2524,2,0,0,1],[0,2524,3,0,0,1],[0,2524,4,0,0,1],[0,2524,5,0,0,1],[0,2524,6,0,0,1],[0,2524,7,0,0,1],[0,2524,8,0,0,1],[0,2524,9,0,0,1],[0,477,1,0,0,1],[0,477,2,0,0,1],[0,477,3,0,0,1],[0,477,4,0,0,1],[0,477,5,0,0,1],[0,477,6,0,0,1],[0,477,7,0,0,1],[0,477,8,0,0,1],[0,477,9,0,0,1],[0,989,1,0,0,1],[0,989,2,0,0,1],[0,989,3,0,0,1],[0,989,4,0,0,1],[0,989,5,0,0,1],[0,989,6,0,0,1],[0,989,7,0,0,1],[0,989,8,0,0,1],[0,989,9,0,0,1],[0,478,1,0,0,1],[0,478,2,0,0,1],[0,478,3,0,0,1],[0,478,4,0,0,1],[0,478,5,0,0,1],[0,478,6,0,0,1],[0,478,7,0,0,1],[0,478,8,0,0,0],[0,478,9,0,0,0],[0,1502,1,0,0,1],[0,1502,2,0,0,1],[0,1502,3,0,0,1],[0,1502,4,0,0,1],[0,1502,5,0,0,1],[0,1502,6,0,0,1],[0,1502,7,0,0,1],[0,1502,8,0,0,1],[0,1502,9,0,0,1],[0,479,1,0,0,1],[0,479,2,0,0,1],[0,479,3,0,0,1],[0,479,4,0,0,1],[0,479,5,0,0,1],[0,479,6,0,0,1],[0,479,7,0,0,1],[0,479,8,0,0,1],[0,479,9,0,0,1],[0,991,1,0,0,1],[0,991,2,0,0,1],[0,991,3,0,0,1],[0,991,4,0,0,1],[0,991,5,0,0,1],[0,991,6,0,0,1],[0,991,7,0,0,1],[0,991,8,0,0,1],[0,991,9,0,0,1],[0,480,1,0,0,1],[0,480,2,0,0,1],[0,480,3,0,0,1],[0,480,4,0,0,1],[0,480,5,0,0,1],[0,480,6,0,0,1],[0,480,7,0,0,1],[0,480,8,0,0,1],[0,480,9,0,0,1],[0,16864,1,0,0,1],[0,16864,2,0,0,1],[0,16864,3,0,0,1],[0,16864,4,0,0,1],[0,16864,5,0,0,1],[0,16864,6,0,0,1],[0,16864,7,0,0,1],[0,16864,8,0,0,1],[0,16864,9,0,0,1],[0,481,1,0,0,1],[0,481,2,0,0,1],[0,481,3,0,0,1],[0,481,4,0,0,1],[0,481,5,0,0,1],[0,481,6,0,0,1],[0,481,7,0,0,1],[0,481,8,0,0,1],[0,481,9,0,0,1],[0,993,1,0,0,1],[0,993,2,0,0,1],[0,993,3,0,0,1],[0,993,4,0,0,1],[0,993,5,0,0,1],[0,993,6,0,0,1],[0,993,7,0,0,1],[0,993,8,0,0,1],[0,993,9,0,0,1],[0,482,1,0,0,1],[0,482,2,0,0,1],[0,482,3,0,0,1],[0,482,4,0,0,1],[0,482,5,0,0,1],[0,482,6,0,0,1],[0,482,7,0,0,1],[0,482,8,0,0,1],[0,482,9,0,0,1],[0,1506,1,0,0,1],[0,1506,2,0,0,1],[0,1506,3,0,0,1],[0,1506,4,0,0,1],[0,1506,5,0,0,1],[0,1506,6,0,0,1],[0,1506,7,0,0,1],[0,1506,8,0,0,1],[0,1506,9,0,0,1],[0,483,1,0,0,1],[0,483,2,0,0,1],[0,483,3,0,0,1],[0,483,4,0,0,1],[0,483,5,0,0,1],[0,483,6,0,0,1],[0,483,7,0,0,1],[0,483,8,0,0,1],[0,483,9,0,0,1],[0,995,1,0,0,1],[0,995,2,0,0,1],[0,995,3,0,0,1],[0,995,4,0,0,1],[0,995,5,0,0,1],[0,995,6,0,0,1],[0,995,7,0,0,1],[0,995,8,0,0,1],[0,995,9,0,0,1],[0,484,1,0,0,1],[0,484,2,0,0,1],[0,484,3,0,0,1],[0,484,4,0,0,1],[0,484,5,0,0,1],[0,484,6,0,0,1],[0,484,7,0,0,1],[0,484,8,0,0,1],[0,484,9,0,0,1],[0,2532,1,0,0,1],[0,2532,2,0,0,1],[0,2532,3,0,0,1],[0,2532,4,0,0,1],[0,2532,5,0,0,1],[0,2532,6,0,0,1],[0,2532,7,0,0,1],[0,2532,8,0,0,1],[0,2532,9,0,0,1],[0,485,1,0,0,1],[0,485,2,0,0,1],[0,485,3,0,0,1],[0,485,4,0,0,1],[0,485,5,0,0,1],[0,485,6,0,0,1],[0,485,7,0,0,1],[0,485,8,0,0,1],[0,485,9,0,0,1],[0,997,1,0,0,1],[0,997,2,0,0,1],[0,997,3,0,0,1],[0,997,4,0,0,1],[0,997,5,0,0,1],[0,997,6,0,0,1],[0,997,7,0,0,1],[0,997,8,0,0,1],[0,997,9,0,0,1],[0,486,1,0,0,1],[0,486,2,0,0,1],[0,486,3,0,0,1],[0,486,4,0,0,1],[0,486,5,0,0,1],[0,486,6,0,0,1],[0,486,7,0,0,1],[0,486,8,0,0,1],[0,486,9,0,0,1],[0,1510,1,0,0,1],[0,1510,2,0,0,1],[0,1510,3,0,0,1],[0,1510,4,0,0,1],[0,1510,5,0,0,1],[0,1510,6,0,0,1],[0,1510,7,0,0,1],[0,1510,8,0,0,1],[0,1510,9,0,0,1],[0,487,1,0,0,1],[0,487,2,0,0,1],[0,487,3,0,0,1],[0,487,4,0,0,1],[0,487,5,0,0,1],[0,487,6,0,0,1],[0,487,7,0,0,1],[0,487,8,0,0,1],[0,487,9,0,0,1],[0,999,1,0,0,1],[0,999,2,0,0,1],[0,999,3,0,0,1],[0,999,4,0,0,1],[0,999,5,0,0,1],[0,999,6,0,0,1],[0,999,7,0,0,1],[0,999,8,0,0,1],[0,999,9,0,0,1],[0,488,1,0,0,1],[0,488,2,0,0,1],[0,488,3,0,0,1],[0,488,4,0,0,1],[0,488,5,0,0,1],[0,488,6,0,0,1],[0,488,7,0,0,1],[0,488,8,0,0,1],[0,488,9,0,0,1],[0,4584,1,0,0,1],[0,4584,2,0,0,1],[0,4584,3,0,0,1],[0,4584,4,0,0,1],[0,4584,5,0,0,1],[0,4584,6,0,0,1],[0,4584,7,0,0,1],[0,4584,8,0,0,1],[0,4584,9,0,0,1],[0,489,1,0,0,1],[0,489,2,0,0,1],[0,489,3,0,0,1],[0,489,4,0,0,1],[0,489,5,0,0,1],[0,489,6,0,0,1],[0,489,7,0,0,1],[0,489,8,0,0,1],[0,489,9,0,0,1],[0,1001,1,0,0,1],[0,1001,2,0,0,1],[0,1001,3,0,0,1],[0,1001,4,0,0,1],[0,1001,5,0,0,1],[0,1001,6,0,0,1],[0,1001,7,0,0,1],[0,1001,8,0,0,1],[0,1001,9,0,0,1],[0,490,1,0,0,1],[0,490,2,0,0,1],[0,490,3,0,0,1],[0,490,4,0,0,1],[0,490,5,0,0,1],[0,490,6,0,0,1],[0,490,7,0,0,1],[0,490,8,0,0,1],[0,490,9,0,0,1],[0,1514,1,0,0,1],[0,1514,2,0,0,1],[0,1514,3,0,0,1],[0,1514,4,0,0,1],[0,1514,5,0,0,1],[0,1514,6,0,0,1],[0,1514,7,0,0,1],[0,1514,8,0,0,1],[0,1514,9,0,0,1],[0,491,1,0,0,1],[0,491,2,0,0,1],[0,491,3,0,0,1],[0,491,4,0,0,1],[0,491,5,0,0,1],[0,491,6,0,0,1],[0,491,7,0,0,1],[0,491,8,0,0,1],[0,491,9,0,0,1],[0,1003,1,0,0,1],[0,1003,2,0,0,1],[0,1003,3,0,0,1],[0,1003,4,0,0,1],[0,1003,5,0,0,1],[0,1003,6,0,0,1],[0,1003,7,0,0,1],[0,1003,8,0,0,1],[0,1003,9,0,0,1],[0,492,1,0,0,1],[0,492,2,0,0,1],[0,492,3,0,0,1],[0,492,4,0,0,1],[0,492,5,0,0,1],[0,492,6,0,0,1],[0,492,7,0,0,1],[0,492,8,0,0,1],[0,492,9,0,0,1],[0,2540,1,0,0,1],[0,2540,2,0,0,1],[0,2540,3,0,0,1],[0,2540,4,0,0,1],[0,2540,5,0,0,1],[0,2540,6,0,0,1],[0,2540,7,0,0,1],[0,2540,8,0,0,1],[0,2540,9,0,0,1],[0,493,1,0,0,1],[0,493,2,0,0,1],[0,493,3,0,0,1],[0,493,4,0,0,1],[0,493,5,0,0,1],[0,493,6,0,0,1],[0,493,7,0,0,1],[0,493,8,0,0,1],[0,493,9,0,0,1],[0,1005,1,0,0,1],[0,1005,2,0,0,1],[0,1005,3,0,0,1],[0,1005,4,0,0,1],[0,1005,5,0,0,1],[0,1005,6,0,0,1],[0,1005,7,0,0,1],[0,1005,8,0,0,1],[0,1005,9,0,0,1],[0,494,1,0,0,1],[0,494,2,0,0,1],[0,494,3,0,0,1],[0,494,4,0,0,1],[0,494,5,0,0,1],[0,494,6,0,0,1],[0,494,7,0,0,1],[0,494,8,0,0,1],[0,494,9,0,0,1],[0,1518,1,0,0,1],[0,1518,2,0,0,1],[0,1518,3,0,0,1],[0,1518,4,0,0,1],[0,1518,5,0,0,1],[0,1518,6,0,0,1],[0,1518,7,0,0,1],[0,1518,8,0,0,1],[0,1518,9,0,0,1],[0,495,1,0,0,1],[0,495,2,0,0,1],[0,495,3,0,0,1],[0,495,4,0,0,1],[0,495,5,0,0,1],[0,495,6,0,0,1],[0,495,7,0,0,1],[0,495,8,0,0,1],[0,495,9,0,0,1],[0,1007,1,0,0,1],[0,1007,2,0,0,1],[0,1007,3,0,0,1],[0,1007,4,0,0,1],[0,1007,5,0,0,1],[0,1007,6,0,0,1],[0,1007,7,0,0,1],[0,1007,8,0,0,1],[0,1007,9,0,0,1],[0,496,1,0,0,1],[0,496,2,0,0,1],[0,496,3,0,0,1],[0,496,4,0,0,1],[0,496,5,0,0,1],[0,496,6,0,0,1],[0,496,7,0,0,1],[0,496,8,0,0,1],[0,496,9,0,0,1],[0,8688,1,0,0,1],[0,8688,2,0,0,1],[0,8688,3,0,0,1],[0,8688,4,0,0,1],[0,8688,5,0,0,1],[0,8688,6,0,0,1],[0,8688,7,0,0,1],[0,8688,8,0,0,1],[0,8688,9,0,0,1],[0,497,1,0,0,1],[0,497,2,0,0,1],[0,497,3,0,0,1],[0,497,4,0,0,1],[0,497,5,0,0,1],[0,497,6,0,0,1],[0,497,7,0,0,1],[0,497,8,0,0,1],[0,497,9,0,0,1],[0,1009,1,0,0,1],[0,1009,2,0,0,1],[0,1009,3,0,0,1],[0,1009,4,0,0,1],[0,1009,5,0,0,1],[0,1009,6,0,0,1],[0,1009,7,0,0,1],[0,1009,8,0,0,1],[0,1009,9,0,0,1],[0,498,1,0,0,1],[0,498,2,0,0,1],[0,498,3,0,0,1],[0,498,4,0,0,1],[0,498,5,0,0,1],[0,498,6,0,0,1],[0,498,7,0,0,1],[0,498,8,0,0,1],[0,498,9,0,0,1],[0,1522,1,0,0,1],[0,1522,2,0,0,1],[0,1522,3,0,0,1],[0,1522,4,0,0,1],[0,1522,5,0,0,1],[0,1522,6,0,0,1],[0,1522,7,0,0,1],[0,1522,8,0,0,1],[0,1522,9,0,0,1],[0,499,1,0,0,1],[0,499,2,0,0,1],[0,499,3,0,0,1],[0,499,4,0,0,1],[0,499,5,0,0,1],[0,499,6,0,0,1],[0,499,7,0,0,1],[0,499,8,0,0,0],[0,499,9,0,0,0],[0,1011,1,0,0,1],[0,1011,2,0,0,1],[0,1011,3,0,0,1],[0,1011,4,0,0,1],[0,1011,5,0,0,1],[0,1011,6,0,0,1],[0,1011,7,0,0,1],[0,1011,8,0,0,1],[0,1011,9,0,0,1],[0,500,1,0,0,1],[0,500,2,0,0,1],[0,500,3,0,0,1],[0,500,4,0,0,1],[0,500,5,0,0,1],[0,500,6,0,0,1],[0,500,7,0,0,1],[0,500,8,0,0,1],[0,500,9,0,0,1],[0,2548,1,0,0,1],[0,2548,2,0,0,1],[0,2548,3,0,0,1],[0,2548,4,0,0,1],[0,2548,5,0,0,1],[0,2548,6,0,0,1],[0,2548,7,0,0,1],[0,2548,8,0,0,1],[0,2548,9,0,0,1],[0,501,1,0,0,1],[0,501,2,0,0,1],[0,501,3,0,0,1],[0,501,4,0,0,1],[0,501,5,0,0,1],[0,501,6,0,0,1],[0,501,7,0,0,1],[0,501,8,0,0,1],[0,501,9,0,0,1],[0,1013,1,0,0,1],[0,1013,2,0,0,1],[0,1013,3,0,0,1],[0,1013,4,0,0,1],[0,1013,5,0,0,1],[0,1013,6,0,0,1],[0,1013,7,0,0,1],[0,1013,8,0,0,1],[0,1013,9,0,0,1],[0,502,1,0,0,1],[0,502,2,0,0,1],[0,502,3,0,0,1],[0,502,4,0,0,1],[0,502,5,0,0,1],[0,502,6,0,0,1],[0,502,7,0,0,1],[0,502,8,0,0,1],[0,502,9,0,0,1],[0,1526,1,0,0,1],[0,1526,2,0,0,1],[0,1526,3,0,0,1],[0,1526,4,0,0,1],[0,1526,5,0,0,1],[0,1526,6,0,0,1],[0,1526,7,0,0,1],[0,1526,8,0,0,1],[0,1526,9,0,0,1],[0,503,1,0,0,1],[0,503,2,0,0,1],[0,503,3,0,0,1],[0,503,4,0,0,1],[0,503,5,0,0,1],[0,503,6,0,0,1],[0,503,7,0,0,1],[0,503,8,0,0,1],[0,503,9,0,0,1],[0,1015,1,0,0,1],[0,1015,2,0,0,1],[0,1015,3,0,0,1],[0,1015,4,0,0,1],[0,1015,5,0,0,1],[0,1015,6,0,0,1],[0,1015,7,0,0,1],[0,1015,8,0,0,1],[0,1015,9,0,0,1],[0,504,1,0,0,1],[0,504,2,0,0,1],[0,504,3,0,0,1],[0,504,4,0,0,1],[0,504,5,0,0,1],[0,504,6,0,0,1],[0,504,7,0,0,1],[0,504,8,0,0,1],[0,504,9,0,0,1],[0,4600,1,0,0,1],[0,4600,2,0,0,1],[0,4600,3,0,0,1],[0,4600,4,0,0,1],[0,4600,5,0,0,1],[0,4600,6,0,0,1],[0,4600,7,0,0,1],[0,4600,8,0,0,1],[0,4600,9,0,0,1],[0,505,1,0,0,1],[0,505,2,0,0,1],[0,505,3,0,0,1],[0,505,4,0,0,1],[0,505,5,0,0,1],[0,505,6,0,0,1],[0,505,7,0,0,1],[0,505,8,0,0,1],[0,505,9,0,0,1],[0,1017,1,0,0,1],[0,1017,2,0,0,1],[0,1017,3,0,0,1],[0,1017,4,0,0,1],[0,1017,5,0,0,1],[0,1017,6,0,0,1],[0,1017,7,0,0,1],[0,1017,8,0,0,1],[0,1017,9,0,0,1],[0,506,1,0,0,1],[0,506,2,0,0,1],[0,506,3,0,0,1],[0,506,4,0,0,1],[0,506,5,0,0,1],[0,506,6,0,0,1],[0,506,7,0,0,1],[0,506,8,0,0,1],[0,506,9,0,0,1],[0,1530,1,0,0,1],[0,1530,2,0,0,1],[0,1530,3,0,0,1],[0,1530,4,0,0,1],[0,1530,5,0,0,1],[0,1530,6,0,0,1],[0,1530,7,0,0,1],[0,1530,8,0,0,1],[0,1530,9,0,0,1],[0,507,1,0,0,1],[0,507,2,0,0,1],[0,507,3,0,0,1],[0,507,4,0,0,1],[0,507,5,0,0,1],[0,507,6,0,0,1],[0,507,7,0,0,1],[0,507,8,0,0,1],[0,507,9,0,0,1],[0,1019,1,0,0,1],[0,1019,2,0,0,1],[0,1019,3,0,0,1],[0,1019,4,0,0,1],[0,1019,5,0,0,1],[0,1019,6,0,0,1],[0,1019,7,0,0,1],[0,1019,8,0,0,1],[0,1019,9,0,0,1],[0,508,1,0,0,1],[0,508,2,0,0,1],[0,508,3,0,0,1],[0,508,4,0,0,1],[0,508,5,0,0,1],[0,508,6,0,0,1],[0,508,7,0,0,1],[0,508,8,0,0,1],[0,508,9,0,0,1],[0,2556,1,0,0,1],[0,2556,2,0,0,1],[0,2556,3,0,0,1],[0,2556,4,0,0,1],[0,2556,5,0,0,1],[0,2556,6,0,0,1],[0,2556,7,0,0,1],[0,2556,8,0,0,1],[0,2556,9,0,0,1],[0,509,1,0,0,1],[0,509,2,0,0,1],[0,509,3,0,0,1],[0,509,4,0,0,1],[0,509,5,0,0,1],[0,509,6,0,0,1],[0,509,7,0,0,1],[0,509,8,0,0,1],[0,509,9,0,0,1],[0,1021,1,0,0,1],[0,1021,2,0,0,1],[0,1021,3,0,0,1],[0,1021,4,0,0,1],[0,1021,5,0,0,1],[0,1021,6,0,0,1],[0,1021,7,0,0,1],[0,1021,8,0,0,1],[0,1021,9,0,0,1],[0,510,1,0,0,1],[0,510,2,0,0,1],[0,510,3,0,0,1],[0,510,4,0,0,1],[0,510,5,0,0,1],[0,510,6,0,0,1],[0,510,7,0,0,1],[0,510,8,0,0,1],[0,510,9,0,0,1],[0,1534,1,0,0,1],[0,1534,2,0,0,1],[0,1534,3,0,0,1],[0,1534,4,0,0,1],[0,1534,5,0,0,1],[0,1534,6,0,0,1],[0,1534,7,0,0,1],[0,1534,8,0,0,1],[0,1534,9,0,0,1],[0,511,1,0,0,1],[0,511,2,0,0,1],[0,511,3,0,0,1],[0,511,4,0,0,1],[0,511,5,0,0,1],[0,511,6,0,0,1],[0,511,7,0,0,1],[0,511,8,0,0,1],[0,511,9,0,0,1],[0,1023,1,0,0,1],[0,1023,2,0,0,1],[0,1023,3,0,0,1],[0,1023,4,0,0,1],[0,1023,5,0,0,1],[0,1023,6,0,0,1],[0,1023,7,0,0,1],[0,1023,8,0,0,1],[0,1023,9,0,0,1]],"negative":0,"best_integer_delta":0,"best_axis":0,"best_selection":[]}
diff --git a/research/sol1337-contact-frontier/inputs/round3-native.json.gz b/research/sol1337-contact-frontier/inputs/round3-native.json.gz
new file mode 100644
index 0000000000..46d929df83
Binary files /dev/null and b/research/sol1337-contact-frontier/inputs/round3-native.json.gz differ
diff --git a/research/sol1337-contact-frontier/paired-contact-screen.json b/research/sol1337-contact-frontier/paired-contact-screen.json
new file mode 100644
index 0000000000..31526472b8
--- /dev/null
+++ b/research/sol1337-contact-frontier/paired-contact-screen.json
@@ -0,0 +1 @@
+{"scope":"complete simultaneous-transvection neighbors at all adjacent newly-variable retained-center contacts; every other node fixed","cases":1834488,"negative_float_screen":0,"neutral_float_screen":0,"best_float_delta":0.0090712930943235293,"best_node":10898,"best_second":10899,"best_axis":1054,"rank_delta_classes":[{"count":123662,"delta":[-6,6,0,0,0,0,0,0,0,0]},{"count":820337,"delta":[-5,4,1,0,0,0,0,0,0,0]},{"count":52832,"delta":[-5,5,-1,1,0,0,0,0,0,0]},{"count":1536,"delta":[-5,5,0,0,0,0,0,0,-1,1]},{"count":1853,"delta":[-5,5,0,0,0,0,0,0,0,0]},{"count":765,"delta":[-5,5,0,0,0,0,0,1,-1,0]},{"count":156,"delta":[-5,6,-1,0,0,0,0,0,0,0]},{"count":397800,"delta":[-4,2,2,0,0,0,0,0,0,0]},{"count":399794,"delta":[-4,3,0,1,0,0,0,0,0,0]},{"count":1536,"delta":[-4,3,1,0,0,0,0,0,-1,1]},{"count":2313,"delta":[-4,3,1,0,0,0,0,0,0,0]},{"count":762,"delta":[-4,3,1,0,0,0,0,1,-1,0]},{"count":15180,"delta":[-4,4,-2,2,0,0,0,0,0,0]},{"count":1024,"delta":[-4,4,-1,1,0,0,0,0,-1,1]},{"count":1079,"delta":[-4,4,-1,1,0,0,0,0,0,0]},{"count":504,"delta":[-4,4,-1,1,0,0,0,1,-1,0]},{"count":1762,"delta":[-4,4,0,0,0,0,0,0,0,0]},{"count":60,"delta":[-4,5,-2,1,0,0,0,0,0,0]},{"count":6,"delta":[-4,5,-1,0,0,0,0,1,-1,0]},{"count":15,"delta":[-4,6,-2,0,0,0,0,0,0,0]},{"count":512,"delta":[-3,1,2,0,0,0,0,0,-1,1]},{"count":254,"delta":[-3,1,2,0,0,0,0,0,0,0]},{"count":254,"delta":[-3,1,2,0,0,0,0,1,-1,0]},{"count":512,"delta":[-3,2,0,1,0,0,0,0,-1,1]},{"count":252,"delta":[-3,2,0,1,0,0,0,0,0,0]},{"count":252,"delta":[-3,2,0,1,0,0,0,1,-1,0]},{"count":512,"delta":[-3,2,1,0,0,0,0,0,-2,2]},{"count":512,"delta":[-3,2,1,0,0,0,0,0,-1,1]},{"count":1022,"delta":[-3,2,1,0,0,0,0,0,0,0]},{"count":512,"delta":[-3,2,1,0,0,0,0,1,-2,1]},{"count":252,"delta":[-3,2,1,0,0,0,0,2,-2,0]},{"count":1024,"delta":[-3,3,-2,2,0,0,0,0,-1,1]},{"count":500,"delta":[-3,3,-2,2,0,0,0,0,0,0]},{"count":500,"delta":[-3,3,-2,2,0,0,0,1,-1,0]},{"count":523,"delta":[-3,3,-1,1,0,0,0,0,0,0]},{"count":1026,"delta":[-3,3,0,0,0,0,0,0,0,0]},{"count":5,"delta":[-3,3,0,0,0,0,0,1,-1,0]},{"count":8,"delta":[-3,4,-2,1,0,0,0,1,-1,0]},{"count":7,"delta":[-3,4,-1,0,0,0,0,0,0,0]},{"count":2,"delta":[-3,5,-2,0,0,0,0,1,-1,0]},{"count":2547,"delta":[-2,1,1,0,0,0,0,0,0,0]},{"count":504,"delta":[-2,2,-1,1,0,0,0,0,0,0]},{"count":16,"delta":[-2,2,0,0,0,0,0,0,0,0]},{"count":2,"delta":[-2,2,0,0,0,0,0,2,-2,0]},{"count":1,"delta":[-2,3,-1,0,0,0,0,1,-1,0]},{"count":1,"delta":[-1,1,0,0,0,0,0,1,-1,0]}]}
diff --git a/research/sol1337-contact-frontier/single-contact-screen.json b/research/sol1337-contact-frontier/single-contact-screen.json
new file mode 100644
index 0000000000..df49c9d3a0
--- /dev/null
+++ b/research/sol1337-contact-frontier/single-contact-screen.json
@@ -0,0 +1 @@
+{"scope":"all single-transvection neighbors at 184 newly variable retained-center contacts; every other node fixed","cases":188048,"negative_float_screen":0,"neutral_float_screen":0,"best_float_delta":0.0090712930943235293,"best_node":10898,"best_axis":1054,"rank_delta_classes":[{"count":117530,"delta":[-4,4,0,0,0,0,0,0,0,0]},{"count":21420,"delta":[-3,2,1,0,0,0,0,0,0,0]},{"count":32512,"delta":[-3,3,-1,1,0,0,0,0,0,0]},{"count":2048,"delta":[-3,3,0,0,0,0,0,0,-1,1]},{"count":1137,"delta":[-3,3,0,0,0,0,0,0,0,0]},{"count":1020,"delta":[-3,3,0,0,0,0,0,1,-1,0]},{"count":96,"delta":[-3,4,-1,0,0,0,0,0,0,0]},{"count":5106,"delta":[-2,1,1,0,0,0,0,0,-1,1]},{"count":2547,"delta":[-2,1,1,0,0,0,0,0,0,0]},{"count":2547,"delta":[-2,1,1,0,0,0,0,1,-1,0]},{"count":1024,"delta":[-2,2,-1,1,0,0,0,0,-1,1]},{"count":504,"delta":[-2,2,-1,1,0,0,0,0,0,0]},{"count":504,"delta":[-2,2,-1,1,0,0,0,1,-1,0]},{"count":7,"delta":[-2,2,0,0,0,0,0,0,-1,1]},{"count":30,"delta":[-2,2,0,0,0,0,0,0,0,0]},{"count":6,"delta":[-2,3,-1,0,0,0,0,1,-1,0]},{"count":7,"delta":[-1,1,0,0,0,0,0,0,-1,1]},{"count":3,"delta":[-1,1,0,0,0,0,0,1,-1,0]}]}
diff --git a/research/sol1337-contact-frontier/tools/scan_block_prefix.cpp b/research/sol1337-contact-frontier/tools/scan_block_prefix.cpp
new file mode 100644
index 0000000000..deb0219e6a
--- /dev/null
+++ b/research/sol1337-contact-frontier/tools/scan_block_prefix.cpp
@@ -0,0 +1,29 @@
+// Apache-2.0; substantial OpenAI Codex assistance. Immutable coherent-group cut.
+#define main retained_discovery_main
+#include "../vendor/dynamic_neighbors.cpp"
+#undef main
+#include <queue>
+#include <iomanip>
+#include <map>
+struct FlowEdge {int to,rev;long long cap,initial;bool forward;};
+struct Flow{
+ int n;std::vector<std::vector<FlowEdge>> g;std::vector<int> level,it;
+ Flow(int n):n(n),g(n),level(n),it(n){}
+ void add(int a,int b,long long c){FlowEdge x{b,(int)g[b].size(),c,c,true},y{a,(int)g[a].size(),0,0,false};g[a].push_back(x);g[b].push_back(y);}
+ long long dfs(int u,int t,long long f){if(u==t)return f;for(int&i=it[u];i<(int)g[u].size();i++){auto&e=g[u][i];if(e.cap>0&&level[e.to]==level[u]+1){long long z=dfs(e.to,t,std::min(f,e.cap));if(z>0){e.cap-=z;g[e.to][e.rev].cap+=z;return z;}}}return 0;}
+ long long maxflow(int s,int t){long long total=0;for(;;){std::fill(level.begin(),level.end(),-1);std::queue<int>q;q.push(s);level[s]=0;while(!q.empty()){int u=q.front();q.pop();for(auto&e:g[u])if(e.cap>0&&level[e.to]<0){level[e.to]=level[u]+1;q.push(e.to);}}if(level[t]<0)break;std::fill(it.begin(),it.end(),0);while(long long z=dfs(s,t,1000000))total+=z;}return total;}
+ void check(int s,int t,long long value){std::vector<long long>balance(n);for(int u=0;u<n;u++)for(auto&e:g[u])if(e.forward){long long f=e.initial-e.cap;if(f<0||f>e.initial)throw 21;balance[u]-=f;balance[e.to]+=f;}for(int i=0;i<n;i++)if(balance[i]!=(i==s?-value:(i==t?value:0)))throw 22;}
+ bool unique_empty(int sink,int k){std::vector<std::vector<int>>rev(n);for(int u=0;u<n;u++)for(auto&e:g[u])if(e.cap>0)rev[e.to].push_back(u);std::vector<int>seen(n);seen[sink]=1;std::queue<int>q;q.push(sink);while(!q.empty()){int u=q.front();q.pop();for(auto v:rev[u])if(!seen[v]){seen[v]=1;q.push(v);}}for(int i=0;i<k;i++)if(!seen[i])return false;return true;}
+ std::vector<int> chosen(int s){std::vector<int>seen(n);seen[s]=1;std::queue<int>q;q.push(s);while(!q.empty()){int u=q.front();q.pop();for(auto&e:g[u])if(e.cap>0&&!seen[e.to]){seen[e.to]=1;q.push(e.to);}}return seen;}
+};
+int main(int argc,char**argv){if(argc!=3)return 2;std::ifstream in(argv[1]);int n,f,m,e;in>>n>>f>>m>>e;std::vector<int> frame(n),fixed(n);for(int i=0;i<n;i++)in>>frame[i]>>fixed[i];std::vector<V> fs(f,V(9)),maps(m,V(18));for(auto&b:fs)for(auto&x:b)in>>x;for(auto&b:maps)for(auto&x:b)in>>x;std::vector<Edge>edges(e);for(auto&t:edges)in>>t.a>>t.b>>t.r>>t.sign>>t.map;if(!in)return 3;
+ std::map<int,V>groups;for(int i=0;i<n;i++)if(!fixed[i])groups[frame[i]].push_back(i);
+int cases=0,negative=0;long long best=0;V bestchosen;unsigned bestaxis=0;
+ std::ofstream out(argv[2]);out<<std::setprecision(17)<<"{\"scope\":\"all1022 coherent alternatives for176variableempty-chart contacts andall9 concaveprefix tariffs; exact integerbinarycut\",\"cases\":[";bool first=true;
+ for(auto&[fr,group]:groups)if(group.size()>1){std::vector<int> index(n,-1);for(unsigned j=0;j<group.size();j++)index[group[j]]=j;
+ for(auto axis:canonical_transvection_axes(fs[fr]))for(int prefix=1;prefix<=9;prefix++){V changed=fs[fr];turn(changed,axis);int k=group.size(),source=k,sink=k+1;Flow flow(k+2);std::vector<long long> unary(k);std::vector<std::array<int,10>> rank_unary(k);
+ for(const auto&t:edges){int a=index[t.a],b=index[t.b];if(a<0&&b<0)continue;if(a>=0&&b>=0){if(t.map||t.r)throw 4;flow.add(a,b,1);flow.add(b,a,1);}else{int node=a>=0?a:b;V both=map(maps[t.map],a>=0?changed:fs[frame[t.a]]);const V& right=b>=0?changed:fs[frame[t.b]];both.insert(both.end(),right.begin(),right.end());int r=(int)basis(both).size()-9;unary[node]+=std::min(r,prefix)-std::min(t.r,prefix);rank_unary[node][r]++;rank_unary[node][t.r]--;}}
+ long long offset=0;for(int i=0;i<k;i++){if(unary[i]<0){flow.add(source,i,-unary[i]);offset+=unary[i];}else flow.add(i,sink,unary[i]);}
+ long long maximum=flow.maxflow(source,sink);flow.check(source,sink,maximum);long long value=maximum+offset;auto chosen=flow.chosen(source);long long cut=0;for(int u=0;u<flow.n;u++)if(chosen[u])for(auto&e:flow.g[u])if(e.forward&&!chosen[e.to])cut+=e.initial;if(cut!=maximum)throw 23;bool unique=flow.unique_empty(sink,k);V selection;for(int i=0;i<k;i++)if(chosen[i])selection.push_back(group[i]);cases++;if(value< -0){negative++;if(value<best){best=value;bestchosen=selection;bestaxis=axis;}}
+ if(!first)out<<',';first=false;out<<"["<<fr<<","<<axis<<","<<prefix<<","<<value<<","<<selection.size()<<","<<int(unique)<<"]";
+ }}out<<"],\"negative\":"<<negative<<",\"best_integer_delta\":"<<best<<",\"best_axis\":"<<bestaxis<<",\"best_selection\":[";for(unsigned i=0;i<bestchosen.size();i++)out<<(i?",":"")<<bestchosen[i];out<<"]}\n";std::cout<<"cases="<<cases<<" negative="<<negative<<" best="<<best<<" size="<<bestchosen.size()<<"\n";}
diff --git a/research/sol1337-contact-frontier/tools/scan_centers.cpp b/research/sol1337-contact-frontier/tools/scan_centers.cpp
new file mode 100644
index 0000000000..ac51662b83
--- /dev/null
+++ b/research/sol1337-contact-frontier/tools/scan_centers.cpp
@@ -0,0 +1,42 @@
+// Apache-2.0; substantial OpenAI Codex assistance.
+// Bounded immutable baseline scan, not a supplier certificate.
+#define main retained_discovery_main
+#include "../vendor/dynamic_neighbors.cpp"
+#undef main
+#include <map>
+#include <iomanip>
+int main(int argc,char** argv){
+ if(argc!=3)return 2;
+ std::ifstream in(argv[1]);int n,f,m,e;in>>n>>f>>m>>e;
+ std::vector<int> frame(n),fixed(n);for(int i=0;i<n;i++)in>>frame[i]>>fixed[i];
+ std::vector<V> fs(f,V(9)),maps(m,V(18)),invs,lags;
+ for(auto& b:fs)for(auto& x:b)in>>x;
+ for(auto& b:maps){for(auto& x:b)in>>x;invs.push_back(inverse(b));}
+ for(auto k:frame)lags.push_back(fs[k]);
+ std::vector<Edge> edges(e);std::vector<V> adj(n);
+ for(int i=0;i<e;i++){auto& t=edges[i];in>>t.a>>t.b>>t.r>>t.sign>>t.map;if(t.sign!=1)return 3;adj[t.a].push_back(i);adj[t.b].push_back(i);}
+ if(!in)return 4;
+ std::map<std::array<int,10>,int> classes;
+ double pw[10];for(int r=0;r<=9;r++)pw[r]=std::pow(r,1-.00302177585);
+ double best=1e99;int bestnode=-1,bestaxis=0,cases=0,negative=0,neutral=0;
+ for(int node=0;node<n;node++)if(!fixed[node]){
+  std::vector<Local> local;
+  for(int ei:adj[node]){auto& t=edges[ei];auto other=t.a==node?map(invs[t.map],lags[t.b]):map(maps[t.map],lags[t.a]);auto both=other;both.insert(both.end(),lags[node].begin(),lags[node].end());int r=(int)basis(both).size()-9;if(r!=t.r)return 5;local.push_back(make_local(lags[node],other,r,t.sign));}
+  auto axes=canonical_transvection_axes(lags[node]);if(axes.size()!=1022)return 6;
+  for(auto axis:axes){
+   std::array<int,10> delta{};V changed=lags[node];turn(changed,axis);double score=0;
+   for(unsigned j=0;j<adj[node].size();j++){
+    const auto& t=edges[adj[node][j]];int predicted=local[j].r+change(local[j],axis);
+    V both=map(maps[t.map],t.a==node?changed:lags[t.a]);auto& right=t.b==node?changed:lags[t.b];both.insert(both.end(),right.begin(),right.end());int actual=(int)basis(both).size()-9;
+    if(actual!=predicted)return 7;
+    delta[actual]++;delta[t.r]--;score+=pw[actual]-pw[t.r];
+   }
+   classes[delta]++;cases++;if(score< -1e-10)negative++;if(std::abs(score)<1e-12)neutral++;
+   if(score<best){best=score;bestnode=node;bestaxis=axis;}
+  }
+ }
+ std::ofstream out(argv[2]);out<<std::setprecision(17)<<"{\"scope\":\"all single-transvection neighbors at 184 newly variable retained-center contacts; every other node fixed\",\"cases\":"<<cases<<",\"negative_float_screen\":"<<negative<<",\"neutral_float_screen\":"<<neutral<<",\"best_float_delta\":"<<best<<",\"best_node\":"<<bestnode<<",\"best_axis\":"<<bestaxis<<",\"rank_delta_classes\":[";
+ bool first=true;for(const auto& [d,count]:classes){if(!first)out<<',';first=false;out<<"{\"count\":"<<count<<",\"delta\":[";for(int r=0;r<=9;r++)out<<(r?",":"")<<d[r];out<<"]}";}out<<"]}\n";
+ std::cout<<"cases="<<cases<<" classes="<<classes.size()<<" negative="<<negative<<" neutral="<<neutral<<" best="<<best<<"\n";
+ return 0;
+}
diff --git a/research/sol1337-contact-frontier/tools/scan_pairs.cpp b/research/sol1337-contact-frontier/tools/scan_pairs.cpp
new file mode 100644
index 0000000000..373fec8675
--- /dev/null
+++ b/research/sol1337-contact-frontier/tools/scan_pairs.cpp
@@ -0,0 +1,54 @@
+// Apache-2.0; substantial OpenAI Codex assistance.
+// Bounded immutable baseline scan, not a supplier certificate.
+#define main retained_discovery_main
+#include "../vendor/dynamic_neighbors.cpp"
+#undef main
+#include <map>
+#include <iomanip>
+V pair_axes(const V& a,const V& b){
+ V intersection;auto annihilator=ann(b);
+ for(unsigned mask=1;mask<512;mask++){unsigned x=0;for(int j=0;j<9;j++)if(mask>>j&1)x^=a[j];if(contains(annihilator,x))intersection.push_back(x);}
+ intersection=basis(intersection);V full=intersection,quotient;
+ for(int j=0;j<18;j++){V trial=full;trial.push_back(1u<<j);if(basis(trial).size()>full.size()){full.push_back(1u<<j);quotient.push_back(1u<<j);}}
+ V sums(1u<<quotient.size()),axes;
+ for(unsigned mask=1;mask<sums.size();mask++){unsigned j=std::countr_zero(mask);sums[mask]=sums[mask&(mask-1)]^quotient[j];unsigned x=sums[mask];axes.push_back(x);for(auto i:intersection)if(symp(x,i)){axes.push_back(x^i);break;}}
+ unsigned r=9-intersection.size();if(axes.size()!=(1u<<(10+r))-(1u<<(2*r))-1)throw 11;
+ return axes;
+}
+int main(int argc,char** argv){
+ if(argc!=3)return 2;
+ std::ifstream in(argv[1]);int n,f,m,e;in>>n>>f>>m>>e;
+ std::vector<int> frame(n),fixed(n);for(int i=0;i<n;i++)in>>frame[i]>>fixed[i];
+ std::vector<V> fs(f,V(9)),maps(m,V(18)),invs,lags;
+ for(auto& b:fs)for(auto& x:b)in>>x;
+ for(auto& b:maps){for(auto& x:b)in>>x;invs.push_back(inverse(b));}
+ for(auto k:frame)lags.push_back(fs[k]);
+ std::vector<Edge> edges(e);std::vector<V> adj(n);
+ for(int i=0;i<e;i++){auto& t=edges[i];in>>t.a>>t.b>>t.r>>t.sign>>t.map;if(t.sign!=1)return 3;adj[t.a].push_back(i);adj[t.b].push_back(i);}
+ if(!in)return 4;
+ std::map<std::array<int,10>,int> classes;
+ double pw[10];for(int r=0;r<=9;r++)pw[r]=std::pow(r,1-.00302177585);
+ double best=1e99;int bestnode=-1,bestaxis=0,cases=0,negative=0,neutral=0;
+ std::map<std::pair<int,int>,int> pairs;
+ for(const auto& t:edges)if(!fixed[t.a]&&!fixed[t.b]&&t.a!=t.b){if(t.map)throw 12;pairs[{std::min(t.a,t.b),std::max(t.a,t.b)}]=t.r;}
+ int bestsecond=-1;
+ for(const auto& [ab,distance]:pairs){
+  int node=ab.first,second=ab.second;V affected=adj[node];for(auto ei:adj[second])if(std::find(affected.begin(),affected.end(),ei)==affected.end())affected.push_back(ei);
+  auto axes=pair_axes(lags[node],lags[second]);
+  for(auto axis:axes){
+   std::array<int,10> delta{};V changed=lags[node],changedsecond=lags[second];turn(changed,axis);turn(changedsecond,axis);double score=0;
+   for(auto ei:affected){
+    const auto& t=edges[ei];const V& left=t.a==node?changed:(t.a==second?changedsecond:lags[t.a]);const V& right=t.b==node?changed:(t.b==second?changedsecond:lags[t.b]);
+    V both=map(maps[t.map],left);both.insert(both.end(),right.begin(),right.end());int actual=(int)basis(both).size()-9;
+    if((t.a==node&&t.b==second)||(t.a==second&&t.b==node)){if(actual!=t.r)throw 13;}
+    delta[actual]++;delta[t.r]--;score+=pw[actual]-pw[t.r];
+   }
+   classes[delta]++;cases++;if(score< -1e-10)negative++;if(std::abs(score)<1e-12)neutral++;
+   if(score<best){best=score;bestnode=node;bestsecond=second;bestaxis=axis;}
+  }
+ }
+ std::ofstream out(argv[2]);out<<std::setprecision(17)<<"{\"scope\":\"complete simultaneous-transvection neighbors at all adjacent newly-variable retained-center contacts; every other node fixed\",\"cases\":"<<cases<<",\"negative_float_screen\":"<<negative<<",\"neutral_float_screen\":"<<neutral<<",\"best_float_delta\":"<<best<<",\"best_node\":"<<bestnode<<",\"best_second\":"<<bestsecond<<",\"best_axis\":"<<bestaxis<<",\"rank_delta_classes\":[";
+ bool first=true;for(const auto& [d,count]:classes){if(!first)out<<',';first=false;out<<"{\"count\":"<<count<<",\"delta\":[";for(int r=0;r<=9;r++)out<<(r?",":"")<<d[r];out<<"]}";}out<<"]}\n";
+ std::cout<<"cases="<<cases<<" classes="<<classes.size()<<" negative="<<negative<<" neutral="<<neutral<<" best="<<best<<"\n";
+ return 0;
+}
diff --git a/research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp b/research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp
new file mode 100644
index 0000000000..9869fb978b
--- /dev/null
+++ b/research/sol1337-contact-frontier/vendor/dynamic_neighbors.cpp
@@ -0,0 +1,46 @@
+#include "neighbors.hpp"
+#include <limits>
+#include <algorithm>
+#include <array>
+#include <bit>
+#include <cmath>
+#include <fstream>
+#include <iostream>
+#include <random>
+#include <vector>
+using V=std::vector<unsigned>;
+V basis(V a){V b(18);for(auto x:a){while(x){int j=31-std::countl_zero(x);if(b[j])x^=b[j];else{b[j]=x;break;}}}V r;for(auto x:b)if(x)r.push_back(x);return r;}
+V ann(V a){a=basis(a);int k=0;V piv;for(int j=0;j<18;j++){int z=k;while(z<(int)a.size()&&!(a[z]>>j&1))z++;if(z==(int)a.size())continue;std::swap(a[k],a[z]);for(int i=0;i<(int)a.size();i++)if(i!=k&&(a[i]>>j&1))a[i]^=a[k];piv.push_back(j);k++;}V out;for(int j=0;j<18;j++)if(std::find(piv.begin(),piv.end(),j)==piv.end()){unsigned v=1u<<j;for(int i=0;i<k;i++)if(a[i]>>j&1)v|=1u<<piv[i];out.push_back(v);}return out;}
+bool contains(const V& a,unsigned x){for(auto y:a)if(std::popcount(x&y)&1)return false;return true;}
+unsigned mv(const V& a,unsigned x){unsigned y=0;while(x){int j=std::countr_zero(x);y^=a[j];x&=x-1;}return y;}
+V map(const V& a,const V& b){V r;for(auto x:b)r.push_back(mv(a,x));return r;}
+V inverse(V a){std::vector<unsigned long long> rows(18);for(int i=0;i<18;i++){unsigned long long x=1ull<<(18+i);for(int j=0;j<18;j++)if(a[j]>>i&1)x|=1u<<j;rows[i]=x;}for(int j=0;j<18;j++){int k=j;while(k<18&&!(rows[k]>>j&1))k++;if(k==18)throw 1;std::swap(rows[k],rows[j]);for(int i=0;i<18;i++)if(i!=j&&(rows[i]>>j&1))rows[i]^=rows[j];}V out(18);for(int j=0;j<18;j++)for(int i=0;i<18;i++)if(rows[i]>>(18+j)&1)out[j]|=1u<<i;return out;}
+unsigned symp(unsigned a,unsigned b){return (std::popcount((a&511)&(b>>9))+std::popcount((a>>9)&(b&511)))&1;}
+void turn(V& lag,unsigned axis){for(auto& x:lag)if(symp(x,axis))x^=axis;}
+struct Edge{int a,b,r,sign,map;};
+struct Local{V neighbor,sum;int r,sign;std::array<unsigned,18> base{},part{};};
+Local make_local(V u,V v,int r,int sign){V both=u;both.insert(both.end(),v.begin(),v.end());Local t{ann(v),ann(both),r,sign};for(int group=0;group<2;group++)for(auto z:(group?v:u)){unsigned x=z,p=group?0:z;while(x){int j=31-std::countl_zero(x);if(t.base[j]){x^=t.base[j];p^=t.part[j];}else{t.base[j]=x;t.part[j]=p;break;}}}return t;}
+int change(const Local& t,unsigned axis){if(contains(t.neighbor,axis))return 0;if(!contains(t.sum,axis))return 1;unsigned x=axis,u=0;while(x){int j=31-std::countl_zero(x);u^=t.part[j];x^=t.base[j];}return symp(u,axis)?-1:0;}
+int main(int argc,char**argv){if(argc!=5&&argc!=6)return 2;double temperature=argc==6?std::stod(argv[5]):0;if(temperature<0)return 2;std::ifstream in(argv[1]);int n,f,m,e;in>>n>>f>>m>>e;std::vector<int> frame(n),fixed(n);for(int i=0;i<n;i++)in>>frame[i]>>fixed[i];std::vector<V> fs(f,V(9)),maps(m,V(18)),inv;for(auto& b:fs)for(auto& x:b)in>>x;for(auto& b:maps){for(auto& x:b)in>>x;inv.push_back(inverse(b));}std::vector<Edge> edges(e);std::vector<V> lags;for(auto x:frame)lags.push_back(fs[x]);std::vector<std::vector<int>> adj(n);for(int i=0;i<e;i++){auto& t=edges[i];in>>t.a>>t.b>>t.r>>t.sign>>t.map;adj[t.a].push_back(i);adj[t.b].push_back(i);}if(!in)return 3;
+ double pw[11];for(int r=0;r<=10;r++)pw[r]=std::pow(r,1-.00302177585);std::mt19937 rng(std::stoul(argv[3]));int passes=std::stoi(argv[4]);std::vector<std::pair<int,unsigned>> moves;double total=0;std::vector<int> order;for(int i=2;i<n;i++)if(!fixed[i])order.push_back(i);
+ for(int pass=0;pass<passes;pass++){
+  std::shuffle(order.begin(),order.end(),rng);int neutral=0,winning=0;double temp=pass+1==passes?0:temperature*(1.0-double(pass)/passes);
+  for(int node:order){std::vector<Local> local;auto own=ann(lags[node]);for(int ei:adj[node]){auto& t=edges[ei];auto other=t.a==node?map(inv[t.map],lags[t.b]):map(maps[t.map],lags[t.a]);auto both=other;both.insert(both.end(),lags[node].begin(),lags[node].end());int r=(int)basis(both).size()-9;local.push_back(make_local(lags[node],other,r,t.sign));}
+   double best=temp>0?std::numeric_limits<double>::infinity():0;unsigned axisbest=0;unsigned zeros=0;
+   for(unsigned axis:canonical_transvection_axes(lags[node])){
+    double delta=0;bool valid=true;for(const auto& t:local){int d=change(t,axis);int r=t.r+d;if(r<0||r>9||(t.sign<0&&r<2)){valid=false;break;}delta+=t.sign*(pw[r]-pw[t.r]);}
+    if(!valid)continue;
+    if(delta<best-1e-10){best=delta;axisbest=axis;zeros=1;}
+    else if(std::abs(delta-best)<1e-12){zeros++;if(rng()%zeros==0)axisbest=axis;}
+   }
+   if(axisbest&&(best< -1e-10||(std::abs(best)<1e-12&&(temp>0||rng()%3==0))||(temp>0&&best>0&&std::uniform_real_distribution<double>(0,1)(rng)<std::exp(-best/temp)))){turn(lags[node],axisbest);double check=0;for(int ei:adj[node]){auto& t=edges[ei];V both=map(maps[t.map],lags[t.a]);both.insert(both.end(),lags[t.b].begin(),lags[t.b].end());int actual=(int)basis(both).size()-9;auto it=std::find(adj[node].begin(),adj[node].end(),ei);int old=local[it-adj[node].begin()].r;check+=t.sign*(pw[actual]-pw[old]);}if(std::abs(check-best)>1e-8){std::cerr<<"INDEPENDENT LOCAL RANK MISMATCH "<<check<<" versus "<<best<<"\n";return 5;}moves.push_back({node,axisbest});total+=best;if(best< -1e-10){winning++;std::cerr<<"GAIN "<<best<<" total "<<total<<" node "<<node<<" axis "<<axisbest<<"\n";}else neutral++;}
+   if(total< -1e-6)break;
+  }
+  std::cerr<<"pass "<<pass<<" neutral "<<neutral<<" winning "<<winning<<" total "<<total<<" temperature "<<temp<<"\n";
+  if(total< -1e-6)break;
+ }
+ std::array<int,10> paid{},helper{},oldpaid{},oldhelper{};for(auto& t:edges){V both=map(maps[t.map],lags[t.a]);both.insert(both.end(),lags[t.b].begin(),lags[t.b].end());int r=(int)basis(both).size()-9;(t.sign>0?paid:helper)[r]++;(t.sign>0?oldpaid:oldhelper)[t.r]++;}
+ double delta=0;for(int r=0;r<=9;r++)delta+=pw[r]*(paid[r]-oldpaid[r]-helper[r]+oldhelper[r]);
+ std::ofstream out(argv[2]);out.precision(17);out<<"{\"scope\":\"floating coordinated Clifford contact discovery; no acceptance\",\"delta\":"<<delta<<",\"moves\":[";bool first=true;for(auto [n,a]:moves){if(!first)out<<',';first=false;out<<'['<<n<<','<<a<<']';}out<<"],\"paid_delta\":[";for(int r=0;r<=9;r++)out<<(r?",":"")<<paid[r]-oldpaid[r];out<<"],\"helper_delta\":[";for(int r=0;r<=9;r++)out<<(r?",":"")<<helper[r]-oldhelper[r];out<<"]}\n";std::cerr<<"verified floating delta "<<delta<<"\n";
+ return 0;
+}
diff --git a/research/sol1337-contact-frontier/vendor/model.py b/research/sol1337-contact-frontier/vendor/model.py
new file mode 100644
index 0000000000..a69138e401
--- /dev/null
+++ b/research/sol1337-contact-frontier/vendor/model.py
@@ -0,0 +1,279 @@
+#!/usr/bin/env python3
+"""Exact contact graph and Gaussian rank invoices; Apache-2.0.
+
+Substantial OpenAI Codex assistance. Credit PR4672 contact cuts, PR4654
+Clifford chart grammar, PR4610 native words and the retained PR4470 lineage.
+"""
+from collections import Counter
+from pathlib import Path
+import gzip,json
+def need(x,s):
+    if not x:raise ValueError(s)
+
+def span(b):
+    s={0}
+    for x in b:s|={y^x for y in tuple(s)}
+    return s
+
+def mv(cols,x):
+    y=0
+    for i,a in enumerate(cols):
+        if x>>i&1:y^=a
+    return y
+
+def inv(cols):
+    values={mv(cols,x):x for x in range(512)}
+    need(len(values)==512,'invertible G')
+    return [values[1<<i] for i in range(9)]
+
+def graph(payload,mode):
+    c=payload['canonical'];frames=c['frames'];sp=list(map(span,frames))
+    nodes=[0,0];edges=[];fixed={};rewards=[]
+    def new(f,freeze=False):
+        n=len(nodes);nodes.append(f)
+        if freeze:fixed[n]=0
+        return n
+    cur=[new(f,r<224 or mode=='exits') for r,f in enumerate(c['start'])]
+    entry=cur[:]
+    def move(r,f,dst=None):
+        a=cur[r];old=nodes[a]
+        need(sp[old]<=sp[f],f'nested {r}:{old}->{f}')
+        b=new(f) if dst is None else dst
+        edges.append(('paid',a,b,len(frames[f])-len(frames[old]),tuple(frames[old])))
+        cur[r]=b
+    maps={x['op']:x['G_columns'] for x in c['warps']}
+    maps.update({-op:inv(cols) for op,cols in list(maps.items())})
+    for e in payload['programs']['forward']:
+        if e[0]=='climb':
+            _,_,r,a,b,width=e
+            need(sp[a]<sp[b] and width==len(frames[b])-len(frames[a]),'original paid rank and nesting')
+            continue
+        if e[0]=='scalar':
+            g,f=e[1:];refs=g[1:3] if g[0] in ('add','copy') else g[1:2]
+            owned=any(r[0]!='L' for r in refs);contact=new(f,owned)
+            for typ,r in refs:
+                if typ=='L':move(r,f,contact)
+        elif e[0]=='warp':
+            _,role,op,a,b=e;need(role[0]=='L','persistent warp')
+            r=role[1];move(r,a);src=cur[r];dst=new(b)
+            edges.append(('warp',src,dst,tuple(frames[a]),tuple(mv(maps[op],v) for v in frames[a])))
+            cur[r]=dst
+        elif e[0]=='adapter':
+            fixed[cur[e[2]]]=0
+        elif e[0]=='center':
+            _,_,a,b,width=e
+            need(sp[a]<sp[b] or sp[b]<sp[a],'original owned-center nesting')
+            need(width==abs(len(frames[b])-len(frames[a])),'original owned-center rank')
+        else:need(e[0]=='phase','known chronological event')
+    for r,f in enumerate(c['final']):
+        dst=new(f,r<224 or mode=='entrances');move(r,f,dst)
+        if r>=224:
+            a,b=c['start'][r],f;need(sp[a]<=sp[b],'nested helper boundary')
+            rewards.append((entry[r] if mode=='entrances' else dst,
+                            len(frames[b])-len(frames[a]),tuple(frames[a])))
+    return nodes,edges,fixed,rewards
+
+def mask(space):
+    return sum(1 << x for x in space)
+
+def dimension(bits):
+    n = bits.bit_count()
+    need(n > 0 and n & (n-1) == 0, 'binary subspace size')
+    return n.bit_length()-1
+
+def fourier_rank(a, b):
+    return dimension(a)+dimension(b)-2*dimension(a & b)
+
+def load(path):
+    raw = Path(path).read_bytes()
+    return json.loads(gzip.decompress(raw) if str(path).endswith('.gz') else raw)
+
+def build(payload, functionals):
+    """All paid edges, including old zero edges, and both helper endpoints."""
+    nodes, edges, fixed, _ = graph(payload, 'free')
+    frames = payload['canonical']['frames']
+    old = [mask(span(b)) for b in frames]
+    kernel = mask(x for x in range(512)
+                  if all((l & x).bit_count() % 2 == 0 for l in functionals))
+    new = [s & kernel for s in old]
+    tables = []
+    for kind, a, b, x, y in edges:
+        left = (old[nodes[a]], new[nodes[a]])
+        right = (old[nodes[b]], new[nodes[b]])
+        if kind == 'warp':
+            image = {0: 0}
+            for u, v in zip(x, y):
+                image.update({z ^ u: w ^ v for z, w in list(image.items())})
+            left = tuple(mask(image[z] for z in image if s >> z & 1) for s in left)
+        ranks = [fourier_rank(left[i], right[j]) for i,j in ((0,0),(1,0),(0,1),(1,1))]
+        if kind == 'warp': need(ranks[0] == 0, 'original native warp is monomial')
+        tables.append((kind, a, b, ranks))
+    helpers = []
+    for r in range(224, 632):
+        a, b = 2+r, len(nodes)-632+r
+        left = (old[nodes[a]], new[nodes[a]])
+        right = (old[nodes[b]], new[nodes[b]])
+        ranks = [fourier_rank(left[i], right[j]) for i,j in ((0,0),(1,0),(0,1),(1,1))]
+        helpers.append((r, a, b, ranks))
+    centers = Counter(e[4] for e in payload['programs']['forward'] if e[0] == 'center')
+    source_paid = Counter(e[5] for e in payload['programs']['forward'] if e[0] == 'climb') + centers
+    result = dict(nodes=nodes, fixed=sorted(fixed), edges=tables, helpers=helpers,
+                  centers=dict(centers), old_spaces=old, new_spaces=new)
+    p,h = invoice(result, [])
+    need(p == source_paid, 'reconstructed baseline invoice')
+    return result
+
+def invoice(model, selected):
+    chosen = set(selected)
+    need(not chosen.intersection(model['fixed']), 'main, adapter and owned boundaries frozen')
+    need(all(2 <= n < len(model['nodes']) for n in chosen), 'valid selected contact')
+    paid = Counter(model['centers'])
+    helper = Counter()
+    def rank_at(a, b, ranks):
+        return ranks[(a in chosen)+2*(b in chosen)]
+    for _,a,b,ranks in model['edges']:
+        r=rank_at(a,b,ranks)
+        if r: paid[r] += 1
+    for _,a,b,ranks in model['helpers']:
+        r=rank_at(a,b,ranks)
+        need(r > 0, 'strict productive helper')
+        helper[r] += 1
+    return paid, helper
+
+
+def binary_rank(rows):
+    pivots = {}
+    for x in rows:
+        while x:
+            i = x.bit_length()-1
+            if i not in pivots:
+                pivots[i] = x
+                break
+            x ^= pivots[i]
+    return len(pivots)
+
+def phase_matrix(functionals):
+    rows = [0]*9
+    for functional in functionals:
+        for i in range(9):
+            if functional >> i & 1:
+                rows[i] ^= functional
+    return rows
+
+def restrict_form(rows, basis):
+    def value(x, y):
+        return sum((x >> i & 1)*((rows[i] & y).bit_count() % 2)
+                   for i in range(9)) % 2
+    return [sum(value(x,y) << j for j,y in enumerate(basis)) for x in basis]
+
+def build_phase(payload, functionals):
+    """Binary gauges b_U=0 or Q|U, Q=sum lambda*lambda^T over F2.
+
+    Subspaces and logical G maps stay fixed. All changed paid and warp
+    Gaussian ranks are charged. Both helper boundaries can change.
+    """
+    nodes, edges, fixed, _ = graph(payload, 'free')
+    frames = payload['canonical']['frames']
+    q = phase_matrix(functionals)
+    matrices = [restrict_form(q, b) for b in frames]
+    active = [bool(binary_rank(s)) for s in matrices]
+    tables = []
+    for kind,a,b,x,y in edges:
+        if kind == 'paid':
+            extra = binary_rank(matrices[nodes[a]])
+            ranks = [x, x+extra, x+extra, x]
+        else:
+            source, target = restrict_form(q,x), restrict_form(q,y)
+            ranks = [0, binary_rank(source), binary_rank(target),
+                     binary_rank([u^v for u,v in zip(source,target)])]
+        need(max(ranks) <= 9, 'valid physical phase rank')
+        tables.append((kind,a,b,ranks))
+    helpers = []
+    for r in range(224,632):
+        a,b = 2+r,len(nodes)-632+r
+        h = len(frames[nodes[b]])-len(frames[nodes[a]])
+        extra = binary_rank(matrices[nodes[a]])
+        helpers.append((r,a,b,[h,h+extra,h+extra,h]))
+    centers = Counter(e[4] for e in payload['programs']['forward'] if e[0]=='center')
+    expected = Counter(e[5] for e in payload['programs']['forward'] if e[0]=='climb')+centers
+    # Discovery only compares these tokens for whether a node has an alternative.
+    m = dict(nodes=nodes, fixed=sorted(fixed), edges=tables, helpers=helpers,
+             centers=dict(centers), old_spaces=list(range(len(frames))),
+             new_spaces=[i+len(frames) if active[i] else i for i in range(len(frames))])
+    paid,_ = invoice(m, [])
+    need(paid == expected, 'reconstructed paid-phase baseline')
+    return m
+
+def nullspace(rows, width):
+    rows=list(rows);pivots=[];k=0
+    for j in range(width):
+        found=next((i for i in range(k,len(rows)) if rows[i]>>j&1),None)
+        if found is None:continue
+        rows[k],rows[found]=rows[found],rows[k]
+        for i in range(len(rows)):
+            if i!=k and rows[i]>>j&1:rows[i]^=rows[k]
+        pivots.append(j);k+=1
+    return [(1<<j)|sum(((rows[i]>>j)&1)<<v for i,v in enumerate(pivots))
+            for j in range(width) if j not in pivots]
+
+def lagrangian(basis, width):
+    return [x|(x<<width) for x in basis]+[x<<width for x in nullspace(basis,width)]
+
+def transvection(basis, axis, width):
+    low=(1<<width)-1
+    def pairing(x):
+        return (((x&low)&(axis>>width)).bit_count()+
+                ((x>>width)&(axis&low)).bit_count())%2
+    return [x^(axis if pairing(x) else 0) for x in basis]
+
+def lagrangian_distance(a,b,width):
+    return binary_rank(a+b)-width
+
+def build_pauli(payload, coordinates):
+    """Gauge C_U or C_U S_P for one common Hermitian Pauli quarter turn.
+
+    The chosen axis is (X mask, Z mask); this can change both the chart
+    subspace and its symmetric form. All changed physical edges are paid.
+    """
+    x,z=coordinates;axis=x|(z<<9)
+    need(0<=x<512 and 0<=z<512 and axis,'nonzero nine-bit Pauli axis')
+    nodes,edges,fixed,_=graph(payload,'free');c=payload['canonical'];frames=c['frames']
+    old=[lagrangian(b,9) for b in frames]
+    new=[transvection(b,axis,9) for b in old]
+    active=[bool(lagrangian_distance(a,b,9)) for a,b in zip(old,new)]
+    maps={w['op']:w['G_columns'] for w in c['warps']}
+    maps.update({-op:inv(g) for op,g in list(maps.items())})
+    warp_ops=iter(e[2] for e in payload['programs']['forward'] if e[0]=='warp')
+    cache={};tables=[]
+    for kind,a,b,r,image in edges:
+        fa,fb=nodes[a],nodes[b]
+        if kind=='paid':
+            if (fa,fb) not in cache:
+                need(lagrangian_distance(old[fa],old[fb],9)==r,'old chart rank')
+                changed=lagrangian_distance(new[fa],old[fb],9)
+                cache[fa,fb]=[r,changed,changed,r]
+            ranks=cache[fa,fb]
+        else:
+            g=maps[next(warp_ops)];gi=inv(g)
+            git=[sum(((gi[j]>>i)&1)<<j for j in range(9)) for i in range(9)]
+            need(span(mv(g,v) for v in frames[fa])==span(frames[fb]),'native chart image')
+            gx=mv(g,x);mapped_axis=gx|((mv(git,x^z)^gx)<<9)
+            mapped=transvection(old[fb],mapped_axis,9)
+            ranks=[0,lagrangian_distance(mapped,old[fb],9),
+                   lagrangian_distance(old[fb],new[fb],9),
+                   lagrangian_distance(mapped,new[fb],9)]
+        need(0<=min(ranks)<=max(ranks)<=9,'physical Pauli-gauge ranks')
+        tables.append((kind,a,b,ranks))
+    helpers=[]
+    for role in range(224,632):
+        a,b=2+role,len(nodes)-632+role;fa,fb=nodes[a],nodes[b]
+        h=lagrangian_distance(old[fa],old[fb],9)
+        changed=lagrangian_distance(new[fa],old[fb],9)
+        helpers.append((role,a,b,[h,changed,changed,h]))
+    centers=Counter(e[4] for e in payload['programs']['forward'] if e[0]=='center')
+    expected=Counter(e[5] for e in payload['programs']['forward'] if e[0]=='climb')+centers
+    model=dict(nodes=nodes,fixed=sorted(fixed),edges=tables,helpers=helpers,centers=dict(centers),
+               old_spaces=list(range(len(frames))),
+               new_spaces=[i+len(frames) if active[i] else i for i in range(len(frames))])
+    paid,_=invoice(model,[]);need(paid==expected,'Pauli-gauge baseline invoice')
+    return model
diff --git a/research/sol1337-contact-frontier/vendor/neighbors.hpp b/research/sol1337-contact-frontier/vendor/neighbors.hpp
new file mode 100644
index 0000000000..140c4affb5
--- /dev/null
+++ b/research/sol1337-contact-frontier/vendor/neighbors.hpp
@@ -0,0 +1,38 @@
+#ifndef CANONICAL_TRANSVECTION_AXES_HPP
+#define CANONICAL_TRANSVECTION_AXES_HPP
+#include <bit>
+#include <cstdint>
+#include <stdexcept>
+#include <vector>
+#include <utility>
+
+// Exact neighbor enumeration; coordinates are x | (z << n).
+inline std::vector<unsigned> canonical_transvection_axes(const std::vector<unsigned>& lag, unsigned n=9) {
+    if (lag.size()!=n || n==0 || n>15) throw std::invalid_argument("Lagrangian dimension");
+    const unsigned mask=(1u<<n)-1;
+    std::vector<std::uint64_t> rows(n);
+    for(unsigned i=0;i<n;i++) rows[i]=(lag[i]>>n)|((lag[i]&mask)<<n)|(std::uint64_t(1)<<(2*n+i));
+    std::vector<unsigned> piv;
+    unsigned k=0;
+    for(unsigned j=0;j<2*n && k<n;j++) {
+        unsigned z=k;
+        while(z<n && !(rows[z]>>j&1)) z++;
+        if(z==n) continue;
+        std::swap(rows[k],rows[z]);
+        for(unsigned i=0;i<n;i++) if(i!=k && (rows[i]>>j&1)) rows[i]^=rows[k];
+        piv.push_back(j); k++;
+    }
+    if(k!=n) throw std::invalid_argument("Dependent Lagrangian basis");
+    std::vector<unsigned> dual(n);
+    for(unsigned j=0;j<n;j++) for(unsigned i=0;i<n;i++) if(rows[i]>>(2*n+j)&1) dual[j]|=1u<<piv[i];
+    std::vector<unsigned> base(1u<<n), out;
+    out.reserve(2*((1u<<n)-1));
+    for(unsigned b=1;b<(1u<<n);b++) {
+        const unsigned j=std::countr_zero(b);
+        base[b]=base[b&(b-1)]^dual[j];
+        out.push_back(base[b]);
+        out.push_back(base[b]^lag[j]);
+    }
+    return out;
+}
+#endif
diff --git a/research/sol1337-contact-frontier/vendor/retained_verify.py b/research/sol1337-contact-frontier/vendor/retained_verify.py
new file mode 100644
index 0000000000..357cbff987
--- /dev/null
+++ b/research/sol1337-contact-frontier/vendor/retained_verify.py
@@ -0,0 +1,256 @@
+#!/usr/bin/env python3
+"""Exact reversible center extension. Apache-2.0; substantial OpenAI assistance."""
+from collections import Counter
+from fractions import Fraction as Q
+from hashlib import sha256
+from pathlib import Path
+import gzip
+import json
+import sys
+
+HERE = Path(__file__).resolve().parent
+SOURCE_HASH = '7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05'
+PAID = {1: 2201, 2: 412, 3: 510, 4: 127, 5: 40, 8: 8}
+N = 640
+
+
+def need(ok, message):
+    if not ok:
+        raise ValueError(message)
+
+
+def plus(dst, src, coefficient=Q(1)):
+    for k, v in tuple(src.items()):
+        value = dst.get(k, Q(0)) + coefficient * v
+        if value:
+            dst[k] = value
+        else:
+            dst.pop(k, None)
+
+
+def load():
+    raw = (HERE / 'inputs/round3-native.json.gz').read_bytes()
+    need(sha256(raw).hexdigest() == SOURCE_HASH, 'exact PR4610 round-three source')
+    return json.loads(gzip.decompress(raw))
+
+
+def emit(payload, dual=False, baseline=False):
+    """Same chronological order for inverse transpose; dualize every chart."""
+    starts = list(payload['canonical']['start'])
+    centers = []
+    events = []
+    center = -1
+    for e in payload['programs']['forward']:
+        kind = e[0]
+        if kind == 'scalar':
+            g, frame = e[1:]
+            op = g[0]
+            if op == 'clear':
+                continue
+            if op == 'copy':
+                center += 1
+                centers.append({'source': g[2][1], 'input_frame': frame})
+                starts.append(frame)
+            role = lambda x: x[1] if x[0] == 'L' else 632 + center
+            dst = role(g[1])
+            if op in ('add', 'copy'):
+                src = role(g[2])
+                a = Q(1) if op == 'copy' else Q(g[3], g[4])
+                if baseline and op == 'copy':
+                    events.append(('copy', dst, src, a, frame))
+                else:
+                    events.append(('add', src if dual else dst,
+                                   dst if dual else src, -a if dual else a, frame))
+            else:
+                need(op == 'scale', 'known scalar opcode')
+                a = Q(g[2], g[3])
+                events.append(('scale', dst, 1 / a if dual else a, frame))
+        elif kind == 'climb':
+            _, _, r, a, b, width = e
+            events.append(('transport', r, a, b, width))
+        elif kind == 'center':
+            _, _, a, b, width = e
+            events.append(('transport', 632 + center, a, b, width))
+        elif kind == 'warp':
+            _, r, op, a, b = e
+            symbol = (1 if op > 0 else -1) * (abs(op) + (1000000 if dual else 0))
+            events.append(('warp', r[1], symbol, a, b))
+        else:
+            need(kind in ('phase', 'adapter'), 'known native marker')
+    need(center == 7 and len(starts) == N, 'eight distinct arbitrary center inputs')
+    return starts, centers, events
+
+
+def span(basis):
+    out = {0}
+    for v in basis:
+        out |= {x ^ v for x in tuple(out)}
+    need(len(out) == 2 ** len(basis), 'independent chart basis')
+    return out
+
+
+def replay(payload, starts, events, baseline=False):
+    rows = [{(i, ()): Q(1)} for i in range(N)]
+    current = starts[:]
+    frames = payload['canonical']['frames']
+    spaces = list(map(span, frames))
+    paid = Counter()
+    for e in events:
+        op, r = e[:2]
+        if op in ('add', 'copy'):
+            _, _, s, a, frame = e
+            need(r != s and current[r] == current[s] == frame, 'actual scalar common chart')
+            if op == 'copy':
+                need(baseline and r >= 632, 'only baseline owned copy')
+                rows[r] = dict(rows[s])
+            else:
+                plus(rows[r], rows[s], a)
+        elif op == 'scale':
+            _, _, a, frame = e
+            need(current[r] == frame and a != 0, 'scale chart and invertibility')
+            rows[r] = {k: a * v for k, v in rows[r].items()}
+        elif op == 'transport':
+            _, _, a, b, width = e
+            need(current[r] == a, 'actual paid source chart')
+            need(spaces[a] < spaces[b] or spaces[b] < spaces[a], 'strictly nested transport')
+            need(width == abs(len(frames[a]) - len(frames[b])), 'rank derived from geometry')
+            paid[width] += 1
+            current[r] = b
+        else:
+            _, _, symbol, a, b = e
+            need(op == 'warp' and current[r] == a, 'native warp source chart')
+            out = {}
+            for (variable, word), value in rows[r].items():
+                word = word[1:] if word and word[0] == -symbol else (symbol,) + word
+                plus(out, {(variable, word): value})
+            rows[r] = out
+            current[r] = b
+    need(dict(paid) == PAID, 'complete emitted recursive invoice')
+    need(current == payload['canonical']['final'] + [0] * 8, 'all 640 output charts')
+    need(all(not word for row in rows for _, word in row), 'all free warp words cancel')
+    return [{i: v for (i, _), v in row.items()} for row in rows]
+
+
+def product(a, b):
+    out = []
+    for row in a:
+        new = {}
+        for j, v in row.items():
+            plus(new, b[j], v)
+        out.append(new)
+    return out
+
+
+def transpose(a):
+    out = [{} for _ in a]
+    for i, row in enumerate(a):
+        for j, v in row.items():
+            out[j][i] = v
+    return out
+
+
+def encoded(a):
+    return [[[j, str(v)] for j, v in sorted(row.items())] for row in a]
+
+
+def matrix_rank(rows):
+    pivots = {}
+    for old in rows:
+        row = dict(old)
+        while row:
+            p = min(row)
+            if p not in pivots:
+                q = row[p]
+                pivots[p] = {j: v / q for j, v in row.items()}
+                break
+            plus(row, pivots[p], -row[p])
+    return len(pivots)
+
+
+def run():
+    payload = load()
+    starts, centers, events = emit(payload)
+    actual = replay(payload, starts, events)
+    _, _, old_events = emit(payload, baseline=True)
+    old = replay(payload, starts, old_events, baseline=True)
+    identity = [{i: Q(1)} for i in range(N)]
+    a = [dict(row) for row in identity]
+    for i in range(112):
+        a[112 + i][i] = Q(1)
+    need(old[:632] == a[:632], 'source all-632-column native identity ABI')
+    b = [{j: v for j, v in row.items() if j >= 632} for row in actual[:632]]
+    r = [{j: v for j, v in row.items() if j < 632} for row in actual[632:]]
+    need(all(actual[i] == a[i] | b[i] for i in range(632)), 'unchanged old-input columns')
+    need(all(actual[632 + i] == r[i] | {632 + i: Q(1)} for i in range(8)), 'center residual ABI')
+    need(all(not b[i] for i in list(range(112)) + list(range(224, 632))), 'noise only in Y outputs')
+    need(all(all(j < 112 or 224 <= j < 632 for j in row) for row in r), 'center reads only X/helper inputs')
+    need(matrix_rank(b) == matrix_rank(r) == 8, 'two actual rank-eight coupling maps')
+    k = [dict(row) for row in actual]
+    for i in range(N):
+        plus(k[i], identity[i], -1)
+    k2 = product(k, k)
+    need(any(k2) and not any(product(k2, k)), 'K squared nonzero and K cubed zero')
+    inverse = [dict(row) for row in identity]
+    for i in range(N):
+        plus(inverse[i], k[i], -1)
+        plus(inverse[i], k2[i])
+    need(product(inverse, actual) == product(actual, inverse) == identity, 'exact two-sided inverse')
+    _, _, dual_events = emit(payload, dual=True)
+    dual = replay(payload, starts, dual_events)
+    need(dual == transpose(inverse), 'all-640-column raw inverse transpose with the same bill')
+    need(product(transpose(dual), actual) == identity, 'exact primal/dual pairing')
+    # Controls retain the same source/invoice but falsify actual operator claims.
+    bad = list(events)
+    i = next(i for i, e in enumerate(bad) if e[0] == 'add' and e[1] == 632)
+    e = bad[i]
+    bad[i] = (*e[:3], -e[3], e[4])
+    need(replay(payload, starts, bad) != actual, 'changed center injection rejected')
+    bad = list(dual_events)
+    i = next(i for i, e in enumerate(bad) if e[0] == 'add' and e[2] == 632)
+    e = bad[i]
+    bad[i] = (*e[:3], -e[3], e[4])
+    need(replay(payload, starts, bad) != transpose(inverse), 'wrong inverse-transpose sign rejected')
+    bad = list(events)
+    i = next(i for i, e in enumerate(bad) if e[0] == 'transport' and e[1] == 632)
+    e = bad[i]
+    bad[i] = (*e[:4], e[4] - 1)
+    rejected = False
+    try:
+        replay(payload, starts, bad)
+    except ValueError:
+        rejected = True
+    need(rejected, 'false center rank rejected from actual charts')
+    # Independent Gram and support facts expose actual arbitrary-input leakage.
+    gram = [[sum(b[i].get(632 + u, 0) * b[i].get(632 + v, 0) for i in range(632))
+             for v in range(8)] for u in range(8)]
+    need(gram == [[Q(7, 2) * (u == v) for v in range(8)] for u in range(8)], 'B transpose B = 7/2 I')
+    # The zero-center source contract cannot certify eight independent new jobs.
+    need(any(b), 'nonzero incoming center changes original target outputs')
+    need(all(r), 'new center outputs are contaminated by original arbitrary inputs')
+    abi = {'schema': 'retained-center-extension/1', 'source_sha256': SOURCE_HASH,
+           'centers': centers, 'B_rows': encoded(b), 'R_rows': encoded(r)}
+    result = {'status': 'EXACT_REVERSIBLE_640_FIELD_EXTENSION_NO_NEW_KAPPA',
+              'source_inputs': 632, 'new_arbitrary_inputs': 8, 'outputs': N,
+              'paid': PAID, 'new_recursive_calls': 0, 'owned_erase_or_copy_operations': 0,
+              'B_rank': 8, 'R_rank': 8, 'nilpotence_index': 3,
+              'noisy_old_outputs': sum(bool(row) for row in b),
+              'old_input_terms_in_center_outputs': [len(row) for row in r],
+              'center_residual_ranks_without_decoupling_credit': [8] * 8,
+              'primal_and_raw_inverse_transpose_checked': True,
+              'controls': ['center injection sign', 'dual sign', 'false center rank',
+                           'new-input leakage', 'old-input contamination'],
+              'independent_new_productive_jobs_certified': False,
+              'abi_sha256': sha256((json.dumps(abi, sort_keys=True) + '\n').encode()).hexdigest()}
+    return abi, result
+
+
+if __name__ == '__main__':
+    abi, result = run()
+    if sys.argv[1:] == ['--write']:
+        for name, value in [('ABI.json', abi), ('RESULT.json', result)]:
+            (HERE / name).write_text(json.dumps(value, indent=2, sort_keys=True) + '\n')
+    else:
+        need(not sys.argv[1:], 'known command arguments')
+        for name, value in [('ABI.json', abi), ('RESULT.json', result)]:
+            need(json.loads(json.dumps(value)) == json.loads((HERE / name).read_text()), 'exact receipt ' + name)
+    print(json.dumps(result, sort_keys=True))
diff --git a/research/sol1337-contact-frontier/verify.py b/research/sol1337-contact-frontier/verify.py
new file mode 100644
index 0000000000..d7d3d6a5b8
--- /dev/null
+++ b/research/sol1337-contact-frontier/verify.py
@@ -0,0 +1,134 @@
+#!/usr/bin/env python3
+"""Exact scoped retained-center chart obstruction. Apache-2.0.
+
+Substantial OpenAI Codex assistance. This checks a changed contact model,
+not native phases, a completed supplier or an outer multiplication theorem.
+"""
+from collections import Counter
+from hashlib import sha256
+from pathlib import Path
+import importlib.util
+import json
+import subprocess
+import tempfile
+
+HERE = Path(__file__).resolve().parent
+
+
+def need(ok, message):
+    if not ok:
+        raise ValueError(message)
+
+
+def prefixes(delta):
+    return [sum(delta[r] * min(r, j) for r in range(1, 10)) for j in range(1, 10)]
+
+
+def class_proof(receipt, expected_cases):
+    classes = receipt['rank_delta_classes']
+    need(sum(c['count'] for c in classes) == expected_cases, 'complete neighbor count')
+    target = [0, 1, 0, 0, 0, 0, 0, 1, -1, 0]
+    floor = prefixes(target)
+    for c in classes:
+        need(len(c['delta']) == 10 and c['count'] > 0, 'rank delta class')
+        need(all(a >= b for a, b in zip(prefixes(c['delta']), floor)),
+             'exact concave majorization of 1+7^theta-8^theta')
+    # The zero-rank event count is bookkeeping and has zero paid moment.
+    need(any(c['delta'][1:] == target[1:] for c in classes), 'attaining positive-loss delta')
+
+
+def cut_proof(receipt):
+    rows = receipt['cases']
+    need(len(rows) == 1022 * 9, 'all 1022 coherent alternatives and nine prefixes')
+    by_axis = {}
+    for frame, axis, prefix, value, selected, unique in rows:
+        need(frame == 0 and 1 <= prefix <= 9, 'one coherent identical-chart group')
+        need(value == selected == 0, 'empty cut is an attaining nonnegative optimum')
+        need((axis, prefix) not in by_axis, 'unique cut record')
+        by_axis[axis, prefix] = unique
+    axes = {axis for axis, _ in by_axis}
+    need(len(axes) == 1022, 'complete coherent chart-neighbor set')
+    need(all(by_axis[axis, j] in (0, 1) for axis in axes for j in range(1, 10)),
+         'every integer prefix covered')
+    need(all(by_axis[axis, 1] == 1 for axis in axes),
+         'unique empty first-prefix minimum makes every nonempty subset strict')
+
+
+def run():
+    sources = json.loads((HERE / 'SOURCES.json').read_text())
+    root = HERE.parent.parent
+    for row in sources['files']:
+        if row['usage'] == 'input':
+            need(sha256((root / row['path']).read_bytes()).hexdigest() == row['sha256'],
+                 'exact retained source: ' + row['path'])
+    spec = importlib.util.spec_from_file_location('changed_center_graph', HERE / 'build_graph.py')
+    module = importlib.util.module_from_spec(spec)
+    spec.loader.exec_module(module)
+    with tempfile.TemporaryDirectory(prefix='sol1337-contact-replay-') as tmp:
+        output = Path(tmp)
+        metadata = module.build(output)
+        need(metadata['inputs'] == 640 and metadata['independent_center_reward'] == 0,
+             'all arbitrary inputs and no false center productive credit')
+        need(metadata['newly_variable_center_contacts'] == 184, 'changed owned-contact restriction')
+        need(metadata['paid'] == {1:2201,2:412,3:510,4:127,5:40,8:8}, 'complete baseline invoice')
+        need(metadata['helpers'] == {4:28,7:7,8:47,9:326}, 'all 408 independent helpers')
+        full_meta = json.loads((output / 'graph-metadata.json').read_text())
+        labels = full_meta['labels']
+        selected = set(full_meta['selected'])
+        need(all(labels[n][0] == 'contact' and any(r >= 632 for r in labels[n][2])
+                 for n in selected), 'only formerly owned center contacts are variable')
+        need(all(n not in selected for n, label in enumerate(labels)
+                 if label[0] in ('entry', 'exit')), 'all 640 physical endpoint charts frozen')
+        receipts = {}
+        for stem, expected in [('scan_centers', 'single-contact-screen.json'),
+                               ('scan_pairs', 'paired-contact-screen.json'),
+                               ('scan_block_prefix', 'coherent-prefix-screen.json')]:
+            binary = output / stem
+            subprocess.run(['c++','-O2','-std=c++20',str(HERE / 'tools' / (stem + '.cpp')),
+                            '-o',str(binary)], check=True, timeout=60, capture_output=True)
+            path = output / expected
+            subprocess.run([str(binary),str(output / 'center-contact-graph.txt'),str(path)],
+                           check=True, timeout=60, capture_output=True)
+            actual = json.loads(path.read_text())
+            frozen = json.loads((HERE / expected).read_text())
+            if stem == 'scan_block_prefix':
+                need(actual['cases'] == frozen['cases'], 'all exact integer cut certificates regenerated')
+                cut_proof(actual)
+            else:
+                need(actual['cases'] == frozen['cases'] and
+                     actual['rank_delta_classes'] == frozen['rank_delta_classes'],
+                     'all actual binary ranks and full delta classes regenerated')
+                class_proof(actual,188048 if stem == 'scan_centers' else 1834488)
+            receipts[stem] = actual
+        controls = 0
+        bad = dict(receipts['scan_centers'])
+        bad['rank_delta_classes'] = [{'count':188048,'delta':[0,-1,0,0,0,0,0,0,0,0]}]
+        try:
+            class_proof(bad,188048)
+        except ValueError:
+            controls += 1
+        bad = json.loads(json.dumps(receipts['scan_block_prefix']))
+        bad['cases'][0][3] = -1
+        try:
+            cut_proof(bad)
+        except ValueError:
+            controls += 1
+        bad = json.loads(json.dumps(receipts['scan_block_prefix']))
+        bad['cases'][0][5] = 0
+        try:
+            cut_proof(bad)
+        except ValueError:
+            controls += 1
+        need(controls == 3, 'negative paid delta, bad cut and false strictness reject')
+        print(json.dumps(dict(status='PASS_RETAINED_CENTER_COHERENT_CHART_CEILING',
+                              inputs=640,independent_helpers=408,independent_center_reward=0,
+                              variable_contacts=184,single_cases=188048,paired_cases=1834488,
+                              coherent_group_contacts=176,integer_prefix_cuts=9198,
+                              single_pair_minimum='1+7^theta-8^theta',
+                              nonempty_coherent_loss_lower_bound='2-2^theta',
+                              strict_domain='0<theta<1',rejection_controls=controls,
+                              new_kappa=None), sort_keys=True))
+
+
+if __name__ == '__main__':
+    run()