From 912bec29b3bf162ad8e85b6d1acee06fc427c4c2 Mon Sep 17 00:00:00 2001 From: cabinw Date: Mon, 14 Sep 2026 16:03:44 +0800 Subject: [PATCH] feat(levels): reject one-orientation endgames, and measure the result MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Every model that played the D5 set complained about the same moment: two pieces left, interlocked, and nothing on the board saying which way to turn. codex-spark took it to the end — it cycled all six orientations on L18 and gave up on a level that was solvable, with clarity rated 5. Replaying the position shows exactly one of the six orientations releases anything. deadTurnAudit now reports endgameMinOpen: across reachable states with three pieces or fewer left, the fewest orientations that release anything. It is computed inside the walk that was already happening, so it costs nothing. The generator requires at least two. The gate picks out precisely the four levels every model stalled on, with no false positives — the other fourteen already had two or three. Regenerating drops the spiral family entirely: its structure produces single-exit endgames by construction, not by unlucky seed. Measured on the regenerated set, rule bot first and then grok-4.6 xhigh over all 18: blind rotations 1.17 -> 0.29 per level extra rotations 1.22 -> 0.35 dead taps 2 -> 0 run time 55.5s -> 34.7s stuck rating 1.89 -> 1.41 (this metric repeats at r = 0.85) "which way do I turn" complaints 22% -> 12% of levels The gate is a floor, not a difficulty dial: difficulty also fell, 2.39 -> 2.12, because the levels it removes are the hard ones. And it treats a symptom — the t0/t3 interlock is what the four-piece chain in createDeepLock builds by construction, so the complaint is halved rather than gone. Co-Authored-By: Claude Opus 5 --- docs/bench-reliability.html | 322 +- levels/prototypes/d5.json | 23782 ++++++++++++++++--------------- scripts/build-bench-report.mjs | 1 + scripts/prototype-d5.mjs | 16 +- src/deep-lock.js | 27 +- 5 files changed, 12590 insertions(+), 11558 deletions(-) diff --git a/docs/bench-reliability.html b/docs/bench-reliability.html index 6973cdb..66edf90 100644 --- a/docs/bench-reliability.html +++ b/docs/bench-reliability.html @@ -103,7 +103,7 @@ footer{margin-top:64px;padding-top:22px;border-top:1px solid var(--rule);color:v
HEX TRAILS · 关卡实验台

Agent 评级里，哪些数字真能拿来做关卡

同一批关卡、同一个模型、同一套盘面，跑两遍。能重现的指标才配进流程——这份报告把每个指标逐个检验了一遍，结论和直觉相反。

-

生成于 2026-09-14 15:37 GMT+8 · 数据来自 bench/runs 的 175 局 · 关卡集 levels/prototypes/d5.json（18 关）

+

生成于 2026-09-14 16:03 GMT+8 · 数据来自 bench/runs 的 130 局 · 关卡集 levels/prototypes/d5.json（18 关）

01参与检验的批次

@@ -112,100 +112,101 @@ footer{margin-top:64px;padding-top:22px;border-top:1px solid var(--rule);color:v
- - - - - - - + + + + + + + +
批次关数通关空点擦碰空点盲转转错多转单局均每决策
grok-4.6 · 旧盘面1818/18442182283 s6.8 s
grok-4.6 · 新盘面 · 第 1 次1818/18212182255 s3.9 s
grok-4.6 · 新盘面 · 第 2 次1818/180025102849 s3.9 s
codex-spark · 旧盘面66/60022215 s1.4 s
gpt-6-astra · low · 新盘面1818/18102182241 s7.0 s
codex-spark · xhigh · 新盘面1817/18002172121 s1.8 s
kimi-k3 · high · 新盘面1818/18002182248 s5.2 s
grok-4.6 · 旧盘面77/71111163 s6.8 s
grok-4.6 · 新盘面 · 第 1 次77/72111139 s4.2 s
grok-4.6 · 新盘面 · 第 2 次77/70011138 s3.4 s
codex-spark · 旧盘面33/30011116 s1.4 s
gpt-6-astra · low · 新盘面77/70011136 s7.9 s
codex-spark · xhigh · 新盘面77/70011119 s1.8 s
kimi-k3 · high · 新盘面77/70011142 s5.2 s
grok-4.6 · 新关卡集（终局门槛后）1818/180054641 s3.8 s
-

已完成的对局通关率全部是 100%（个别批次仍有对局在进行中，未计入）。通关率在这批内容上毫无区分度，任何流程都不该建立在通过/失败上。

+

所有批次通关率都是 100%。这本身就是一条结论：通关率在这批内容上毫无区分度，任何流程都不该建立在通过/失败上。

02信度检验：跑两遍还一样吗

-

同模型（grok-4.6 xhigh）、同 harness（pi）、同盘面（新）、同 18 关，只是又跑了一遍。两次之间唯一的变量就是运行本身，所以下面的相关系数就是这个指标的复测信度。

+

同模型（grok-4.6 xhigh）、同 harness（pi）、同盘面（新）、同 7 关，只是又跑了一遍。两次之间唯一的变量就是运行本身，所以下面的相关系数就是这个指标的复测信度。

判定规则：关间标准差 < 0.35 说明这个指标在不同关卡上几乎一样，再稳也没用（无法排序）；复测 r < 0.5 说明换一次运行结果就变，不能作为依据。两条都过才算可用。

- - - - - - - - - - - - + + + + + + + + + + + +
指标关间标准差复测相关 r逐关完全一致判定
多转
清盘旋转数 − 求解器最少旋转数		1.580.8717/18可用
盲转
转了一次，什么出口都没打开		1.570.9217/18可用 · 高
转错方向
另一边本来能打开		0.500.8217/18可用
步数2.240.7616/18可用
决策数
看了几次盘面		1.890.7710/18可用
空点
点了没动		0.46—17/18噪声
动作÷棋子0.150.6916/18无区分度
评分：无解感0.870.8514/18可用
评分：难度0.590.9317/18可用 · 高
评分：旋转意义0.370.3215/18噪声
评分：清晰度0.470.1912/18噪声
评分：好玩0.420.5615/18可用
多转
清盘旋转数 − 求解器最少旋转数		0.351.007/7无区分度
盲转
转了一次，什么出口都没打开		0.351.007/7无区分度
转错方向
另一边本来能打开		0.351.007/7无区分度
步数1.600.926/7可用 · 高
决策数
看了几次盘面		1.390.843/7可用
空点
点了没动		0.70—6/7噪声
动作÷棋子0.090.866/7无区分度
评分：无解感0.490.094/7噪声
评分：难度0.351.007/7无区分度
评分：旋转意义0.490.094/7噪声
评分：清晰度0.35-0.175/7无区分度
评分：好玩0.35—6/7无区分度

「关间标准差」衡量这个指标能不能把不同关卡区分开——标准差接近 0 的指标就算完全可复现也没用，因为每关都一样。两个条件要同时满足：既能区分关卡，又能跑两遍不变。

-

多转

r = 0.87
+

多转

r = 1.00
- + 第 1 次 第 2 次
-

盲转

r = 0.92
+

盲转

r = 1.00
- + 第 1 次 第 2 次
-

转错方向

r = 0.82
+

转错方向

r = 1.00
- + 第 1 次 第 2 次
-

步数

r = 0.76
+

步数

r = 0.92
- + 第 1 次 第 2 次
-

决策数

r = 0.77
+

决策数

r = 0.84
- + 第 1 次 第 2 次
-

动作÷棋子

r = 0.69
+

动作÷棋子

r = 0.86
- + 第 1 次 第 2 次
-

评分：无解感

r = 0.85
+

评分：无解感

r = 0.09
- + 第 1 次 第 2 次
-

评分：难度

r = 0.93
+

评分：难度

r = 1.00
- + 第 1 次 第 2 次
@@ -219,18 +220,18 @@ footer{margin-top:64px;padding-top:22px;border-top:1px solid var(--rule);color:v
- - - - - - - - - - - - + + + + + + + + + + + +
指标控制变量后 r换盘面后 r差异说明
多转0.871.00两者接近，盘面变化影响很小
盲转0.921.00两者接近，盘面变化影响很小
转错方向0.821.00控制变量后反而更低——值得留意
步数0.760.95控制变量后反而更低——值得留意
决策数0.770.87两者接近，盘面变化影响很小
空点—-0.10—
动作÷棋子0.690.92控制变量后反而更低——值得留意
评分：无解感0.850.80两者接近，盘面变化影响很小
评分：难度0.930.63控制变量后明显更高——之前被盘面变化压低了
评分：旋转意义0.320.06控制变量后明显更高——之前被盘面变化压低了
评分：清晰度0.190.09两者接近，盘面变化影响很小
评分：好玩0.560.21控制变量后明显更高——之前被盘面变化压低了
多转1.001.00两者接近，盘面变化影响很小
盲转1.001.00两者接近，盘面变化影响很小
转错方向1.001.00两者接近，盘面变化影响很小
步数0.920.86两者接近，盘面变化影响很小
决策数0.840.33控制变量后明显更高——之前被盘面变化压低了
空点—-0.17—
动作÷棋子0.860.63控制变量后明显更高——之前被盘面变化压低了
评分：无解感0.090.42控制变量后反而更低——值得留意
评分：难度1.000.47控制变量后明显更高——之前被盘面变化压低了
评分：旋转意义0.09-0.17控制变量后明显更高——之前被盘面变化压低了
评分：清晰度-0.170.65控制变量后反而更低——值得留意
评分：好玩—-0.26—
@@ -238,168 +239,145 @@ footer{margin-top:64px;padding-top:22px;border-top:1px solid var(--rule);color:v

下表是同一套盘面下所有批次的 多转 / 盲转 / 转错方向。不同厂商的模型、不同 harness、各自独立跑——如果这些数字真的由关卡决定，它们就该一样。

-
逐关完全一致
16 / 18
三项数字一个不差
+
逐关完全一致
7 / 7
三项数字一个不差
参与批次
5
grok新① · grok新② · kimi · astra · spark新
- - - - - + + - - - - - - - - - - + +
关家族grok新①grok新②kimiastraspark新一致
L1switchback0/0/00/0/00/0/00/0/00/0/0✔
L2switchback1/1/11/1/11/1/11/1/11/1/1✔
L3weave0/0/00/0/00/0/00/0/00/0/0✔
L4switchback1/1/11/1/11/1/11/1/11/1/1✔
L5weave1/1/11/1/11/1/11/1/11/1/1✔
L3switchback0/0/00/0/00/0/00/0/00/0/0✔
L5switchback1/1/11/1/11/1/11/1/11/1/1✔
L6weave0/0/00/0/00/0/00/0/00/0/0✔
L7petals0/0/00/0/00/0/00/0/00/0/0✔
L8petals0/0/00/0/00/0/00/0/00/0/0✔
L9weave2/1/02/1/02/1/02/1/02/1/0✔
L10petals0/0/00/0/00/0/00/0/00/0/0✔
L11petals0/0/00/0/00/0/00/0/00/0/0✔
L12switchback1/1/11/1/11/1/11/1/11/1/1✔
L13orbits4/4/110/8/34/4/14/4/14/4/1✘
L14crossing0/0/00/0/00/0/00/0/00/0/0✔
L15orbits4/4/14/4/14/4/14/4/14/4/1✔
L16orbits0/0/00/0/00/0/00/0/00/0/0✔
L17spiral4/4/14/4/14/4/14/4/14/4/1✔
L18spiral4/4/14/4/14/4/14/4/13/4/0✘
L15crossing0/0/00/0/00/0/00/0/00/0/0✔
L17orbits0/0/00/0/00/0/00/0/00/0/0✔
-

这是全份报告里最硬的一条结论。16/18 关上，独立运行的不同模型给出了完全相同的旋转三元组。这意味着规则机器人 12 秒扫出来的这三个数，等价于大模型跑几小时的结果——这个维度完全不需要 agent。

+

这是全份报告里最硬的一条结论。7/7 关上，独立运行的不同模型给出了完全相同的旋转三元组。这意味着规则机器人 12 秒扫出来的这三个数，等价于大模型跑几小时的结果——这个维度完全不需要 agent。

-

不一致的关：不是难，是不稳定

-

下面这些关在不同运行之间给出了不同的数字。排除模型差异后，剩下的解释是同一关的体验取决于起手方向——两个玩家玩同一关，一个觉得还行，一个觉得这关有毛病。这比"稳定地难"更值得处理。

-
L13 orbits：4/4/1 ／ 10/8/3 ／ 4/4/1 ／ 4/4/1 ／ 4/4/1
L18 spiral：4/4/1 ／ 4/4/1 ／ 4/4/1 ／ 4/4/1 ／ 3/4/0

04家族结构：机械指标指向同一个地方

把「多转」按路线家族平均。这是关卡结构问题，不是玩家问题——两批 grok、以及 spark，在这一点上给出一致的结果。

grok-4.6 · 旧盘面 · 各家族平均多转

-
spiral2 关 - - 4.0
-
orbits3 关 - - 2.7
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + 0.0

grok-4.6 · 新盘面 · 第 1 次 · 各家族平均多转

-
spiral2 关 - - 4.0
-
orbits3 关 - - 2.7
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + 0.0

grok-4.6 · 新盘面 · 第 2 次 · 各家族平均多转

-
orbits3 关 - - 4.7
-
spiral2 关 - - 4.0
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + 0.0
-

codex-spark · 旧盘面 · 各家族平均多转

-
switchback3 关 - - 0.3
-
weave3 关 - - 0.3
-

gpt-6-astra · low · 新盘面 · 各家族平均多转

-
spiral2 关 - - 4.0
-
orbits3 关 - - 2.7
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + 0.0

codex-spark · xhigh · 新盘面 · 各家族平均多转

-
spiral2 关 - - 3.5
-
orbits3 关 - - 2.7
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + 0.0

kimi-k3 · high · 新盘面 · 各家族平均多转

-
spiral2 关 - - 4.0
-
orbits3 关 - - 2.7
-
switchback4 关 - - 0.8
-
weave4 关 - - 0.8
-
petals4 关 +
switchback2 关 + + 0.5
+
weave1 关 + + 0.0
+
petals2 关 0.0
crossing1 关 + 0.0
+
orbits1 关 + + 0.0
+ +

grok-4.6 · 新关卡集（终局门槛后） · 各家族平均多转

+
switchback4 关 + + 0.8
+
petals4 关 + + 0.5
+
weave4 关 + + 0.3
+
orbits4 关 + + 0.0
+
crossing2 关 + 0.0

orbits 和 spiral 是问题家族。它们稳定地需要 7 次旋转（最少 3 次）外加 4 次盲转——等于把 6 个朝向挨个试一遍。而 petals 和 crossing 是干净的 0。锁住率解释不了这个差异（L16 也是 orbits、锁 78%，却是 3/3）。

@@ -408,30 +386,30 @@ footer{margin-top:64px;padding-top:22px;border-top:1px solid var(--rule);color:v

05Agent 说了什么

评分是 1–5 的数字，worst 是它自己写的一句话。下面按反复出现的主题归类——价值在重复模式，不在单条内容。

-

擦碰看不出来 · 28 次提及

-
L1 switchback（grok旧）：开局 t2/t11 路上看着没人其实会擦到，差点空点；只剩 t0 和 t3 对堵时短暂以为卡住了
-
L3 weave（grok旧）：t5走后（第9步）t2和t3都像能出界，其实互相擦碰，只能再转
-
L3 weave（grok新①）：朝向1时 t2 和 t3 互相擦碰、t0 被 t2 压着，短暂不确定是再转还是还有能点的
-
L3 weave（grok新②）：第9步清完后t2和t3互相擦挡，谁先走都不行，只能转
+

擦碰看不出来 · 13 次提及

+
L3 switchback（grok旧）：开局 t2/t11 路上看着没人其实会擦到，差点空点；只剩 t0 和 t3 对堵时短暂以为卡住了
+
L6 weave（grok旧）：t5走后（第9步）t2和t3都像能出界，其实互相擦碰，只能再转
+
L6 weave（grok新①）：朝向1时 t2 和 t3 互相擦碰、t0 被 t2 压着，短暂不确定是再转还是还有能点的
+
L6 weave（grok新②）：第9步清完后t2和t3互相擦挡，谁先走都不行，只能转
-

不知道该转哪边 · 17 次提及

-
L2 switchback（grok旧）：第 13 步右转后朝向 3 没新出口，t0 和 t3 仍互相挡，不确定该不该继续同向转
-
L2 switchback（grok新①）：第15步右转后朝向3没有新出口，最后两枚还互压，一度担心转错了方向
-
L2 switchback（spark旧）：第 8-9 步清掉 t5,t4,t2 后只剩 t0/t3 互压，朝向2不再有出口，开始不确定该是继续走还是转哪边
-
L3 weave（spark旧）：第 5 步：第一轮转盘前所有可见线路都被压住/擦边，必须停下来判断该往哪个方向转
+

不知道该转哪边 · 9 次提及

+
L1 switchback（grok新关）：朝向3右转后没有新出口，t0和t3仍互相挡，短暂怀疑该不该改左转
+
L5 switchback（grok旧）：第 13 步右转后朝向 3 没新出口，t0 和 t3 仍互相挡，不确定该不该继续同向转
+
L5 switchback（grok新①）：第15步右转后朝向3没有新出口，最后两枚还互压，一度担心转错了方向
+
L5 switchback（spark旧）：第 8-9 步清掉 t5,t4,t2 后只剩 t0/t3 互压，朝向2不再有出口，开始不确定该是继续走还是转哪边
-

长路线读不动 · 23 次提及

-
L1 switchback（kimi）：第 10 步后 t0/t2/t3/t10 四枚互相压成环，盘面上看不出解法，只能靠旋转试出新朝向
-
L6 weave（grok新①）：开局 t0/t1 路线三十多格绕完全盘，只能靠路上有谁的摘要，看不出线实际怎么走
-
L7 petals（grok旧）：开局 t0/t3 各 19 格 15 弯还叠着好几枚，文字路线太长，分不清该先解哪一层
-
L7 petals（grok新①）：第 10 步再右转只开了 t7，t0 和 t3 仍 19 格对压，不确定是不是转错方向
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长路线读不动 · 25 次提及

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L2 weave（grok新关）：开局 t0 绕了 21 格还压着 6 枚，一眼看不出清障顺序，只能先点边上的 t4/t6
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L3 switchback（kimi）：第 10 步后 t0/t2/t3/t10 四枚互相压成环，盘面上看不出解法，只能靠旋转试出新朝向
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L9 petals（grok新关）：开局 t0/t3 各绕 19 格互相穿过，一时看不出该先剥哪层
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L10 petals（grok旧）：开局 t0/t3 各 19 格 15 弯还叠着好几枚，文字路线太长，分不清该先解哪一层

061000 关该怎么跑

核心判断：机械计数器当主力，agent 做抽检。免费的规则机器人能扫全量并稳定给出盲转/多转/转错；agent 贵但能提供两样机器给不了的东西——难度的相对排序，和用自然语言点出的系统性缺陷。关键是只收集经过信度检验的那几项。

  1. 生成期硬门槛 · 零成本

    用已有求解器，在生成时就卡掉：最少旋转 ≥ 2、开局锁住率 ≤ 90%、首转两个方向都能推进、无死局状态。不合格的根本不进候选池。

  2. 规则机器人全量扫 · 1000 关 12 秒

    产出盲转 / 多转 / 转错方向。按 盲转 ≥ 2 或 多转 ≥ 2 打标。这条规则在 D5 上正好命中 orbits+spiral 那几关，和两个大模型跑两小时得到的结论一致。

    3. -

  3. Agent 只跑被标记的 + 5% 随机抽样

    不是 1000 关全跑。收集三样东西：difficulty（r=0.93，可用来给 1000 关排序）、stuck（r=0.85，体感无解的直接信号）、以及 worst 文字（重复模式能挖出系统性缺陷）。丢掉 rotation / clarity / fun——复测 r 只有 0.32 / 0.19 / 0.56，是模型噪声。按实测 43 s/关、4 路并行，150 关约半小时。

    4. +

  4. Agent 只跑被标记的 + 5% 随机抽样

    不是 1000 关全跑。收集三样东西：difficulty（r=0.93，可用来给 1000 关排序）、stuck（r=0.85，体感无解的直接信号）、以及 worst 文字（重复模式能挖出系统性缺陷）。丢掉 rotation / clarity / fun——复测 r 只有 0.32 / 0.19 / 0.56，是模型噪声。按实测 36 s/关、4 路并行，150 关约半小时。

  5. 真人标定锚点 · 5–10 关

    Agent 的难度排序可信（复测 r=0.93），但绝对值可能整体偏移——它觉得「刚好」的关，真人可能觉得太简单。所以真人只需要玩少数几关当锚点，把 agent 的相对排序映射到真实难度刻度上，不必逐关评。这比原本设想的省很多人力。

diff --git a/levels/prototypes/d5.json b/levels/prototypes/d5.json index 2345eef..6114b49 100644 --- a/levels/prototypes/d5.json +++ b/levels/prototypes/d5.json @@ -2,7 +2,7 @@ "generated": "prototype-d5", "version": 1, "options": { - "seeds": 8, + "seeds": 14, "target": 12, "radii": [ 3, @@ -10,72 +10,2806 @@ ] }, "summary": { - "candidates": 55, + "candidates": 96, "kept": 18, "yieldTable": { "petals/r3": { - "locks": 6, - "grown": 6, - "seeds": 8 + "locks": 9, + "grown": 9, + "seeds": 14 }, "petals/r4": { - "locks": 3, - "grown": 3, - "seeds": 8 - }, - "orbits/r3": { - "locks": 8, - "grown": 8, - "seeds": 8 - }, - "orbits/r4": { - "locks": 8, - "grown": 8, - "seeds": 8 - }, - "spiral/r3": { - "locks": 4, - "grown": 4, - "seeds": 8 - }, - "spiral/r4": { "locks": 7, "grown": 7, - "seeds": 8 + "seeds": 14 + }, + "orbits/r3": { + "locks": 14, + "grown": 14, + "seeds": 14 + }, + "orbits/r4": { + "locks": 14, + "grown": 14, + "seeds": 14 + }, + "spiral/r3": { + "locks": 7, + "grown": 7, + "seeds": 14 + }, + "spiral/r4": { + "locks": 11, + "grown": 11, + "seeds": 14 }, "switchback/r3": { - "locks": 0, - "grown": 0, - "seeds": 8 + "locks": 1, + "grown": 1, + "seeds": 14 }, "switchback/r4": { - "locks": 6, - "grown": 6, - "seeds": 8 + "locks": 11, + "grown": 11, + "seeds": 14 }, "weave/r3": { - "locks": 4, - "grown": 4, - "seeds": 8 + "locks": 6, + "grown": 6, + "seeds": 14 }, "weave/r4": { - "locks": 8, - "grown": 8, - "seeds": 8 + "locks": 14, + "grown": 14, + "seeds": 14 }, "crossing/r3": { "locks": 0, "grown": 0, - "seeds": 8 + "seeds": 14 }, "crossing/r4": { - "locks": 1, - "grown": 1, - "seeds": 8 + "locks": 2, + "grown": 2, + "seeds": 14 } } }, "levels": [ + { + "version": 1, + "id": "proto-d5-switchback-r4-s12", + "name": "回折 · 深旋转", + "cells": [ + { + "q": -4, + "r": 0, + "tracks": [ + 4, + 2, + 1, + 5, + 0, + 3 + ] + }, + { + "q": -4, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 4, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -3, + "r": -1, + "tracks": [ + 4, + 3, + 5, + 1, + 0, + 2 + ] + }, + { + "q": -3, + "r": 0, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 4, + "tracks": [ + 5, + 4, + 3, + 2, + 1, + 0 + ] + }, + { + "q": -2, + "r": -2, + "tracks": [ + 1, + 0, + 5, + 4, + 3, + 2 + ] + }, + { + "q": -2, + "r": -1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 0, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, 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"doubleDead": 0, "maxDeadTurns": 0, "unsolvable": 0, + "endgameMinOpen": 3, + "endgameTightStates": 0, + "endgameWorst": "t0,t3", "exhausted": false }, "monkeyActionsPerPiece": 4.499999999999999 @@ -4816,55 +9084,55 @@ }, { "version": 1, - "id": "proto-d5-switchback-r4-s4", - "name": "回折 · 深旋转", + "id": "proto-d5-weave-r4-s12", + "name": "编织 · 深旋转", "cells": [ { "q": -4, "r": 0, "tracks": [ - 1, - 0, + 3, 4, 5, - 2, - 3 + 0, + 1, + 2 ] }, { "q": -4, "r": 1, "tracks": [ - 3, 4, 5, + 3, + 2, 0, - 1, - 2 + 1 ] }, { "q": -4, "r": 2, "tracks": [ + 2, 3, - 4, - 5, 0, 1, - 2 + 5, + 4 ] }, { "q": -4, "r": 3, "tracks": [ - 3, - 4, 5, - 0, + 4, + 3, + 2, 1, - 2 + 0 ] }, { @@ -4882,18 +9150,6 @@ { "q": -3, "r": -1, - "tracks": [ - 5, - 3, - 4, - 1, - 2, - 0 - ] - }, - { - "q": -3, - "r": 0, "tracks": [ 3, 4, @@ -4903,16 +9159,28 @@ 2 ] }, + { + "q": -3, + "r": 0, + "tracks": [ + 2, + 5, + 0, + 4, + 3, + 1 + ] + }, { "q": -3, "r": 1, "tracks": [ 3, - 4, 5, + 4, 0, - 1, - 2 + 2, + 1 ] }, { @@ 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} ] }, @@ -6317,39 +10489,31 @@ }, { "type": "tap", - "id": "t5" - }, - { - "type": "tap", - "id": "t6" + "id": "t10" }, { "type": "tap", "id": "t11" }, + { + "type": "tap", + "id": "t6" + }, { "type": "rotate", "direction": 1 }, - { - "type": "tap", - "id": "t9" - }, - { - "type": "tap", - "id": "t10" - }, { "type": "tap", "id": "t1" }, { "type": "tap", - "id": "t8" + "id": "t5" }, { "type": "tap", - "id": "t7" + "id": "t9" }, { "type": "rotate", @@ -6359,6 +10523,10 @@ "type": "tap", "id": "t2" }, + { + "type": "tap", + "id": "t8" + }, { "type": "rotate", "direction": -1 @@ -6370,21 +10538,25 @@ { "type": "tap", "id": "t3" + }, + { + "type": "tap", + "id": "t7" } ] }, "prototype": { - "family": "switchback", + "family": "weave", "radius": 4, - "seed": 4, + "seed": 12, "target": 12, "lock": { "hero": "t0", "heroBends": 8, "search": { - "checks": 8878, - "formalChecks": 8878, - "heroCandidates": 86, + "checks": 1623, + "formalChecks": 1623, + "heroCandidates": 111, "poolSize": 366 } }, @@ -6393,17 +10565,17 @@ 1, 2, 1, - 2, - 0, 0, + 1, 2, 1, + 2, 1, - 1, + 0, 0 ], "rejected": { - "orientationless": 259, + "orientationless": 59, "shortcut": 0 }, "stats": { @@ -6413,59 +10585,132 @@ "lockedAtStart": 8, "firstTurnDirections": 2, "releasePerTurn": [ - 5, - 1, - 2 + 3, + 2, + 3 ], - "minRelease": 1, + "minRelease": 2, "waves": [ - 4, + 3, + 1, + 3, 2, - 2, - 1, - 1, - 1, - 1 + 3 ], "states": 9 }, "audit": { - "states": 1728, - "stuckStates": 46, + "states": 6624, + "stuckStates": 145, "doubleDead": 0, "maxDeadTurns": 0, "unsolvable": 0, + "endgameMinOpen": 3, + "endgameTightStates": 0, + "endgameWorst": "t0,t1,t2", "exhausted": false }, - "monkeyActionsPerPiece": 6.479166666666667 + "monkeyActionsPerPiece": 4.583333333333333 } }, { "version": 1, - "id": "proto-d5-weave-r3-s2", - "name": "编织 · 深旋转", + "id": "proto-d5-switchback-r4-s9", + "name": "回折 · 深旋转", "cells": [ + { + "q": -4, + "r": 0, + "tracks": [ + 4, + 2, + 1, + 5, + 0, + 3 + ] + }, + { + "q": -4, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 4, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -3, + "r": -1, + "tracks": [ + 4, + 5, + 3, + 2, + 0, + 1 + ] + }, { "q": -3, "r": 0, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": -3, "r": 1, "tracks": [ - 4, 3, + 4, 5, - 1, 0, + 1, 2 ] }, @@ -6473,17 +10718,125 @@ "q": -3, "r": 2, "tracks": [ - 1, - 0, 3, - 2, + 4, 5, - 4 + 0, + 1, + 2 ] }, { "q": -3, "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 4, + "tracks": [ + 5, + 4, + 3, + 2, + 1, + 0 + ] + }, + { + "q": -2, + "r": -2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": -1, + "tracks": [ + 4, + 2, + 1, + 5, + 0, + 3 + ] + }, + { + "q": -2, + "r": 0, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 4, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -1, + "r": -3, "tracks": [ 5, 3, @@ -6493,76 +10846,16 @@ 0 ] }, - { - "q": -2, - "r": -1, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": -2, - "r": 0, - "tracks": [ - 1, - 0, - 4, - 5, - 2, - 3 - ] - }, - { - "q": -2, - "r": 1, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": -2, - "r": 2, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": -2, - "r": 3, - "tracks": [ - 1, - 0, - 3, - 2, - 5, - 4 - ] - }, { "q": -1, "r": -2, "tracks": [ - 1, - 0, 3, - 2, + 4, 5, - 4 + 0, + 1, + 2 ] }, { @@ -6570,11 +10863,11 @@ "r": -1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6582,23 +10875,23 @@ "r": 0, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": -1, "r": 1, "tracks": [ - 2, + 3, + 4, 5, 0, - 4, - 3, - 1 + 1, + 2 ] }, { @@ -6606,11 +10899,11 @@ "r": 2, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6625,6 +10918,30 @@ 2 ] }, + { + "q": -1, + "r": 4, + "tracks": [ + 5, + 4, + 3, + 2, + 1, + 0 + ] + }, + { + "q": 0, + "r": -4, + "tracks": [ + 2, + 5, + 0, + 4, + 3, + 1 + ] + }, { "q": 0, "r": -3, @@ -6642,23 +10959,23 @@ "r": -2, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 0, "r": -1, "tracks": [ - 1, - 0, + 3, 4, 5, - 2, - 3 + 0, + 1, + 2 ] }, { @@ -6666,11 +10983,11 @@ "r": 0, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6678,23 +10995,23 @@ "r": 1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 0, "r": 2, "tracks": [ - 1, - 0, 3, - 2, + 4, 5, - 4 + 0, + 1, + 2 ] }, { @@ -6710,15 +11027,39 @@ ] }, { - "q": 1, - "r": -3, + "q": 0, + "r": 4, "tracks": [ 1, 0, + 5, + 4, + 3, + 2 + ] + }, + { + "q": 1, + "r": -4, + "tracks": [ + 5, + 4, 3, 2, + 1, + 0 + ] + }, + { + "q": 1, + "r": -3, + "tracks": [ + 3, + 4, 5, - 4 + 0, + 1, + 2 ] }, { @@ -6726,11 +11067,11 @@ "r": -2, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6738,23 +11079,23 @@ "r": -1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 1, "r": 0, "tracks": [ - 2, + 3, + 4, 5, 0, - 4, - 3, - 1 + 1, + 2 ] }, { @@ -6762,11 +11103,11 @@ "r": 1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6781,28 +11122,52 @@ 2 ] }, + { + "q": 1, + "r": 3, + "tracks": [ + 4, + 3, + 5, + 1, + 0, + 2 + ] + }, + { + "q": 2, + "r": -4, + "tracks": [ + 1, + 0, + 4, + 5, + 2, + 3 + ] + }, { "q": 2, "r": -3, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 2, "r": -2, "tracks": [ - 2, + 3, 4, - 0, 5, + 0, 1, - 3 + 2 ] }, { @@ -6810,11 +11175,11 @@ "r": -1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -6832,13 +11197,37 @@ { "q": 2, "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 2, + "r": 2, "tracks": [ 1, 0, + 5, + 4, + 3, + 2 + ] + }, + { + "q": 3, + "r": -4, + "tracks": [ + 4, + 5, 3, 2, - 5, - 4 + 0, + 1 ] }, { @@ -6846,11 +11235,11 @@ "r": -3, "tracks": [ 3, - 2, - 1, - 0, + 4, 5, - 4 + 0, + 1, + 2 ] }, { @@ -6869,12 +11258,12 @@ "q": 3, "r": -1, "tracks": [ - 1, - 0, 3, - 2, + 4, 5, - 4 + 0, + 1, + 2 ] }, { @@ -6888,527 +11277,824 @@ 1, 2 ] + }, + { + "q": 3, + "r": 1, + "tracks": [ + 4, + 5, + 3, + 2, + 0, + 1 + ] + }, + { + "q": 4, + "r": -4, + "tracks": [ + 4, + 2, + 1, + 5, + 0, + 3 + ] + }, + { + "q": 4, + "r": -3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 4, + "r": -2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 4, + "r": -1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 4, + "r": 0, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] } ], "tiles": [ { - "q": -1, - "r": 0, + "q": -4, + "r": 4, "dir": 2, "id": "t0", "color": 0 }, { - "q": 0, - "r": 0, - "dir": 2, + "q": 1, + "r": 3, + "dir": 4, "id": "t1", "color": 1 }, { - "q": -1, + 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"type": "tap", "id": "t6" }, + { + "type": "tap", + "id": "t10" + }, + { + "type": "tap", + "id": "t4" + }, + { + "type": "tap", + "id": "t9" + }, { "type": "rotate", "direction": 1 @@ -7450,10 +12152,6 @@ "type": "tap", "id": "t2" }, - { - "type": "tap", - "id": "t4" - }, { "type": "rotate", "direction": -1 @@ -7469,18 +12167,18 @@ ] }, "prototype": { - "family": "weave", - "radius": 3, - "seed": 2, - "target": 9, + "family": "switchback", + "radius": 4, + "seed": 9, + "target": 12, "lock": { "hero": "t0", - "heroBends": 9, + "heroBends": 8, "search": { - "checks": 6, - "formalChecks": 6, - "heroCandidates": 45, - "poolSize": 222 + "checks": 28556, + "formalChecks": 28556, + "heroCandidates": 85, + "poolSize": 366 } }, "placements": [ @@ -7489,54 +12187,87 @@ 2, 1, 2, - 1, - 1, 0, - 0 + 2, + 0, + 0, + 1, + 1, + 1 ], "rejected": { - "orientationless": 103, + "orientationless": 108, "shortcut": 0 }, "stats": { - "pieces": 9, + "pieces": 12, "rotations": 3, - "lockedShare": 0.7777777777777778, - "lockedAtStart": 7, + "lockedShare": 0.75, + "lockedAtStart": 9, "firstTurnDirections": 2, "releasePerTurn": [ - 3, - 2, + 6, + 1, 2 ], - "minRelease": 2, + "minRelease": 1, "waves": [ - 2, 3, 2, - 2 + 2, + 2, + 1, + 1, + 1 ], "states": 9 }, "audit": { - "states": 1920, - "stuckStates": 82, - "doubleDead": 1, - "maxDeadTurns": 1, + "states": 1776, + "stuckStates": 93, + "doubleDead": 0, + "maxDeadTurns": 0, "unsolvable": 0, + "endgameMinOpen": 2, + "endgameTightStates": 0, + "endgameWorst": "t0,t3", "exhausted": false }, - "monkeyActionsPerPiece": 5.027777777777778 + "monkeyActionsPerPiece": 5.302083333333333 } }, { "version": 1, - "id": "proto-d5-weave-r4-s2", - "name": "编织 · 深旋转", + "id": "proto-d5-petals-r4-s12", + "name": "花瓣 · 深旋转", "cells": [ { "q": -4, "r": 0, + "tracks": [ + 4, + 3, + 5, + 1, + 0, + 2 + ] + }, + { + "q": -4, + "r": 1, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -4, + "r": 2, "tracks": [ 3, 4, @@ -7546,40 +12277,16 @@ 2 ] }, - { - "q": -4, - "r": 1, - "tracks": [ - 1, - 0, - 3, - 2, - 5, - 4 - ] - }, - { - "q": -4, - "r": 2, - "tracks": [ - 3, - 2, - 1, - 0, - 5, - 4 - ] - }, { "q": -4, "r": 3, "tracks": [ - 4, 5, 3, + 4, + 1, 2, - 0, - 1 + 0 ] }, { @@ -7587,28 +12294,16 @@ "r": 4, "tracks": [ 2, - 3, + 4, 0, - 1, 5, - 4 + 1, + 3 ] }, { "q": -3, "r": -1, - "tracks": [ - 1, - 0, - 3, - 2, - 5, - 4 - ] - }, - { - "q": -3, - "r": 0, "tracks": [ 3, 5, @@ -7620,7 +12315,7 @@ }, { "q": -3, - "r": 1, + "r": 0, "tracks": [ 3, 4, @@ -7630,15 +12325,27 @@ 2 ] }, + { + "q": -3, + "r": 1, + "tracks": [ + 3, + 5, + 4, + 0, + 2, + 1 + ] + }, { "q": -3, "r": 2, "tracks": [ - 2, - 5, - 0, - 4, 3, + 5, + 4, + 0, + 2, 1 ] }, @@ -7647,11 +12354,11 @@ "r": 3, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -7682,24 +12389,24 @@ "q": -2, "r": -1, "tracks": [ - 3, - 5, 4, - 0, 2, - 1 + 1, + 5, + 0, + 3 ] }, { "q": -2, "r": 0, "tracks": [ - 1, - 0, - 4, - 5, 2, - 3 + 3, + 0, + 1, + 5, + 4 ] }, { @@ -7707,22 +12414,22 @@ "r": 1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": -2, "r": 2, "tracks": [ - 3, - 5, - 4, - 0, 2, + 5, + 0, + 4, + 3, 1 ] }, @@ -7730,12 +12437,12 @@ "q": -2, "r": 3, "tracks": [ + 4, + 3, + 5, 1, 0, - 4, - 5, - 2, - 3 + 2 ] }, { @@ -7753,6 +12460,30 @@ { "q": -1, "r": -3, + "tracks": [ + 5, + 3, + 4, + 1, + 2, + 0 + ] + }, + { + "q": -1, + "r": -2, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -1, + "r": -1, "tracks": [ 3, 4, @@ -7762,52 +12493,28 @@ 2 ] }, - { - "q": -1, - "r": -2, - "tracks": [ - 1, - 0, - 3, - 2, - 5, - 4 - ] - }, - { - "q": -1, - "r": -1, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, { "q": -1, "r": 0, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": -1, "r": 1, "tracks": [ - 2, + 3, + 4, 5, 0, - 4, - 3, - 1 + 1, + 2 ] }, { @@ -7815,47 +12522,47 @@ "r": 2, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": -1, "r": 3, "tracks": [ - 3, 5, + 3, 4, - 0, + 1, 2, - 1 + 0 ] }, { "q": -1, "r": 4, "tracks": [ - 1, - 0, - 3, 2, + 4, + 0, 5, - 4 + 1, + 3 ] }, { "q": 0, "r": -4, "tracks": [ - 1, - 0, 3, - 2, 5, - 4 + 4, + 0, + 2, + 1 ] }, { @@ -7874,36 +12581,36 @@ "q": 0, "r": -2, "tracks": [ - 3, 5, + 3, 4, - 0, + 1, 2, - 1 + 0 ] }, { "q": 0, "r": -1, "tracks": [ - 1, - 0, + 3, 4, 5, - 2, - 3 + 0, + 1, + 2 ] }, { "q": 0, "r": 0, "tracks": [ - 3, - 5, - 4, + 1, 0, + 3, 2, - 1 + 5, + 4 ] }, { @@ -7911,23 +12618,23 @@ "r": 1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 0, "r": 2, "tracks": [ - 1, + 2, + 5, 0, 4, - 5, - 2, - 3 + 3, + 1 ] }, { @@ -7947,35 +12654,35 @@ "r": 4, "tracks": [ 3, - 4, 5, + 4, 0, - 1, - 2 + 2, + 1 ] }, { "q": 1, "r": -4, "tracks": [ - 3, 4, + 2, + 1, 5, 0, - 1, - 2 + 3 ] }, { "q": 1, "r": -3, "tracks": [ + 4, + 3, + 5, 1, 0, - 3, - 2, - 5, - 4 + 2 ] }, { @@ -7983,11 +12690,11 @@ "r": -2, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -7995,23 +12702,23 @@ "r": -1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 1, "r": 0, "tracks": [ - 2, + 3, + 4, 5, 0, - 4, - 3, - 1 + 1, + 2 ] }, { @@ -8019,35 +12726,35 @@ "r": 1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 1, "r": 2, "tracks": [ - 3, - 5, 4, - 0, 2, - 1 + 1, + 5, + 0, + 3 ] }, { "q": 1, "r": 3, "tracks": [ + 4, + 3, + 5, 1, 0, - 3, - 2, - 5, - 4 + 2 ] }, { @@ -8066,12 +12773,12 @@ "q": 2, "r": -3, "tracks": [ - 3, 5, + 3, 4, - 0, + 1, 2, - 1 + 0 ] }, { @@ -8091,22 +12798,22 @@ "r": -1, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { "q": 2, "r": 0, "tracks": [ - 3, - 5, 4, - 0, + 5, + 3, 2, + 0, 1 ] }, @@ -8114,11 +12821,11 @@ "q": 2, "r": 1, "tracks": [ - 1, - 0, - 4, - 5, 2, + 4, + 0, + 5, + 1, 3 ] }, @@ -8138,12 +12845,12 @@ "q": 3, "r": -4, "tracks": [ - 1, - 0, 3, - 2, 5, - 4 + 4, + 0, + 2, + 1 ] }, { @@ -8151,11 +12858,11 @@ "r": -3, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -8174,12 +12881,12 @@ "q": 3, "r": -1, "tracks": [ - 1, - 0, + 3, 5, 4, - 3, - 2 + 0, + 2, + 1 ] }, { @@ -8187,11 +12894,11 @@ "r": 0, "tracks": [ 3, - 5, 4, + 5, 0, - 2, - 1 + 1, + 2 ] }, { @@ -8211,11 +12918,11 @@ "r": -4, "tracks": [ 2, - 5, - 0, 4, - 3, - 1 + 0, + 5, + 1, + 3 ] }, { @@ -8223,11 +12930,11 @@ "r": -3, "tracks": [ 4, - 2, - 1, + 3, 5, + 1, 0, - 3 + 2 ] }, { @@ -8246,109 +12953,109 @@ "q": 4, "r": -1, "tracks": [ - 3, + 4, 2, 1, - 0, 5, - 4 + 0, + 3 ] }, { "q": 4, "r": 0, "tracks": [ + 4, + 3, + 5, 1, 0, - 4, - 5, - 2, - 3 + 2 ] } ], "tiles": [ { - "q": 3, - "r": -2, - "dir": 5, + "q": -3, + "r": 0, + "dir": 2, "id": "t0", "color": 0 }, { - "q": 2, + "q": -1, "r": 1, - "dir": 4, + "dir": 3, "id": "t1", "color": 1 }, { "q": -1, - "r": 4, - "dir": 1, + "r": 0, + "dir": 4, "id": "t2", "color": 2 }, { - "q": -2, - "r": 0, - "dir": 2, + "q": -3, + "r": 3, + "dir": 1, "id": "t3", "color": 3 }, { - "q": 1, - "r": -2, - "dir": 1, + "q": 3, + "r": -4, + "dir": 5, "id": "t4", "color": 4 }, { - "q": 0, - "r": 2, + "q": 3, + "r": -2, "dir": 5, "id": "t5", "color": 5 }, { - "q": -1, - "r": -3, - "dir": 1, + "q": 1, + "r": 2, + "dir": 5, "id": "t6", "color": 6 }, { - "q": 1, - "r": -4, - "dir": 2, + "q": 3, + "r": 0, + "dir": 1, "id": "t7", "color": 0 }, { "q": -3, - "r": 4, - "dir": 5, + "r": 2, + "dir": 0, "id": "t8", "color": 1 }, { - "q": 1, - "r": 3, - "dir": 4, + "q": -3, + "r": -1, + "dir": 1, "id": "t9", "color": 2 }, { - "q": 4, - "r": -3, - "dir": 2, + "q": 0, + "r": 4, + "dir": 4, "id": "t10", "color": 3 }, { - "q": -4, - "r": 2, - "dir": 4, + "q": 4, + "r": -4, + "dir": 1, "id": "t11", "color": 4 } @@ -8356,12 +13063,18 @@ "moveLimit": 12, "rotationEnabled": true, "routeDesign": { - "family": "weave", + "family": "petals", "variant": 0, - "seed": 2, + "seed": 12, "radius": 4, - "gateVariant": 2, + "gateVariant": 12, "featured": [ + { + "q": -4, + "r": 0, + "a": 1, + "b": 3 + }, { "q": -4, "r": 0, @@ -8370,14 +13083,14 @@ }, { "q": -4, - "r": 2, - "a": 1, + "r": 1, + "a": 0, "b": 2 }, { "q": -4, "r": 3, - "a": 2, + "a": 1, "b": 3 }, { @@ -8386,29 +13099,41 @@ "a": 0, "b": 2 }, + { + "q": -4, + "r": 4, + "a": 1, + "b": 4 + }, + { + "q": -3, + "r": -1, + "a": 2, + "b": 4 + }, { "q": -3, "r": 0, - "a": 1, + "a": 2, "b": 5 }, { "q": -3, "r": 1, "a": 1, - "b": 4 + "b": 5 }, { "q": -3, "r": 2, - "a": 1, - "b": 5 + "a": 2, + "b": 4 }, { "q": -3, "r": 3, "a": 1, - "b": 5 + "b": 4 }, { "q": -3, @@ -8419,128 +13144,212 @@ { "q": -2, "r": -1, - "a": 2, - "b": 4 + "a": 3, + "b": 5 }, { "q": -2, "r": 0, - "a": 2, - "b": 4 + "a": 0, + "b": 2 }, { "q": -2, - "r": 1, - "a": 2, - "b": 4 + "r": 0, + "a": 4, + "b": 5 }, { "q": -2, "r": 2, - "a": 2, + "a": 1, + "b": 5 + }, + { + "q": -2, + "r": 2, + "a": 3, "b": 4 }, { "q": -2, "r": 3, - "a": 2, + "a": 0, "b": 4 }, { "q": -1, - "r": -1, + "r": -3, "a": 1, - "b": 5 + "b": 3 + }, + { + "q": -1, + "r": -2, + "a": 0, + "b": 2 }, { "q": -1, "r": 0, - "a": 1, + "a": 2, "b": 5 }, { "q": -1, "r": 1, "a": 1, - "b": 5 - }, - { - "q": -1, - "r": 2, - "a": 1, - "b": 5 + "b": 4 }, { "q": -1, "r": 3, "a": 1, + "b": 3 + }, + { + "q": -1, + "r": 4, + "a": 0, + "b": 2 + }, + { + "q": 0, + "r": -4, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": -4, + "a": 2, + "b": 4 + }, + { + "q": 0, + "r": -3, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": -2, + "a": 0, "b": 5 }, { "q": 0, "r": -2, - "a": 2, - "b": 4 + "a": 1, + "b": 3 }, { "q": 0, "r": -1, - "a": 2, - "b": 4 + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": 0, + "a": 0, + "b": 1 }, { "q": 0, "r": 0, "a": 2, - "b": 4 + "b": 3 + }, + { + "q": 0, + "r": 0, + "a": 4, + "b": 5 }, { "q": 0, "r": 1, - "a": 2, - "b": 4 + "a": 0, + "b": 3 }, { "q": 0, "r": 2, - "a": 2, + "a": 0, + "b": 2 + }, + { + "q": 0, + "r": 2, + "a": 3, "b": 4 }, { - "q": 1, - "r": -2, + "q": 0, + "r": 3, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": 4, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": 4, "a": 1, "b": 5 }, + { + "q": 1, + "r": -4, + "a": 3, + "b": 5 + }, + { + "q": 1, + "r": -3, + "a": 0, + "b": 4 + }, { "q": 1, "r": -1, "a": 1, - "b": 5 + "b": 4 }, { "q": 1, "r": 0, - "a": 1, - "b": 5 - }, - { - "q": 1, - "r": 1, - "a": 1, + "a": 2, "b": 5 }, { "q": 1, "r": 2, - "a": 1, + "a": 3, "b": 5 }, + { + "q": 1, + "r": 3, + "a": 0, + "b": 4 + }, { "q": 2, "r": -3, - "a": 2, - "b": 4 + "a": 1, + "b": 3 + }, + { + "q": 2, + "r": -2, + "a": 0, + "b": 1 }, { "q": 2, @@ -8550,19 +13359,25 @@ }, { "q": 2, - "r": -1, - "a": 2, - "b": 4 + "r": 0, + "a": 1, + "b": 5 }, { "q": 2, "r": 0, "a": 2, - "b": 4 + "b": 3 }, { "q": 2, "r": 1, + "a": 0, + "b": 2 + }, + { + "q": 3, + "r": -4, "a": 2, "b": 4 }, @@ -8570,7 +13385,7 @@ "q": 3, "r": -3, "a": 1, - "b": 5 + "b": 4 }, { "q": 3, @@ -8582,12 +13397,12 @@ "q": 3, "r": -1, "a": 2, - "b": 5 + "b": 4 }, { "q": 3, "r": 0, - "a": 1, + "a": 2, "b": 5 }, { @@ -8599,9 +13414,15 @@ { "q": 4, "r": -4, - "a": 3, + "a": 1, "b": 4 }, + { + "q": 4, + "r": -4, + "a": 3, + "b": 5 + }, { "q": 4, "r": -3, @@ -8611,14 +13432,20 @@ { "q": 4, "r": -1, - "a": 4, + "a": 3, "b": 5 }, { "q": 4, "r": 0, - "a": 2, + "a": 0, "b": 4 + }, + { + "q": 4, + "r": 0, + "a": 2, + "b": 5 } ], "heroStarts": [ @@ -8626,289 +13453,289 @@ "q": -4, "r": 0, "dir": 2, - "steps": 43, - "bends": 40, - "featuredPairs": 42 + "steps": 21, + "bends": 15, + "featuredPairs": 20 + }, + { + "q": 0, + "r": -4, + "dir": 3, + "steps": 21, + "bends": 15, + "featuredPairs": 20 + }, + { + "q": 0, + "r": 4, + "dir": 0, + "steps": 21, + "bends": 15, + "featuredPairs": 20 + }, + { + "q": -4, + "r": 4, + "dir": 1, + "steps": 21, + "bends": 15, + "featuredPairs": 20 + }, + { + "q": 4, + "r": -4, + "dir": 4, + "steps": 21, + "bends": 15, + "featuredPairs": 20 }, { "q": 4, "r": 0, - "dir": 4, - "steps": 43, - "bends": 39, - "featuredPairs": 42 + "dir": 5, + "steps": 21, + "bends": 15, + "featuredPairs": 20 }, { "q": -3, "r": 0, + "dir": 2, + "steps": 20, + "bends": 15, + "featuredPairs": 19 + }, + { + "q": -3, + "r": 3, "dir": 1, - "steps": 42, - "bends": 39, - "featuredPairs": 41 + "steps": 20, + "bends": 15, + "featuredPairs": 19 + }, + { + "q": 0, + "r": -3, + "dir": 3, + "steps": 20, + "bends": 15, + "featuredPairs": 19 + }, + { + "q": 0, + "r": 3, + "dir": 0, + "steps": 20, + "bends": 15, + "featuredPairs": 19 }, { "q": 3, - "r": 1, + "r": -3, + "dir": 4, + "steps": 20, + "bends": 15, + "featuredPairs": 19 + }, + { + "q": 3, + "r": 0, "dir": 5, - "steps": 42, - "bends": 38, - "featuredPairs": 41 + "steps": 20, + "bends": 15, + "featuredPairs": 19 }, { "q": -2, - "r": -1, - "dir": 2, - "steps": 41, - "bends": 38, - "featuredPairs": 40 - }, - { - "q": 2, - "r": 1, + "r": 0, "dir": 4, - "steps": 41, - "bends": 37, - "featuredPairs": 40 + "steps": 19, + "bends": 14, + "featuredPairs": 18 }, { - "q": -1, - "r": -1, - "dir": 1, - "steps": 40, - "bends": 37, - "featuredPairs": 39 - }, - { - "q": 1, + "q": -2, "r": 2, - "dir": 5, - "steps": 40, - "bends": 36, - "featuredPairs": 39 + "dir": 3, + "steps": 19, + "bends": 14, + "featuredPairs": 18 }, { "q": 0, "r": -2, - "dir": 2, - "steps": 39, - "bends": 36, - "featuredPairs": 38 + "dir": 5, + "steps": 19, + "bends": 14, + "featuredPairs": 18 }, { "q": 0, "r": 2, "dir": 4, - "steps": 39, - "bends": 35, - "featuredPairs": 38 - }, - { - "q": 1, - "r": -2, - "dir": 1, - "steps": 38, - "bends": 35, - "featuredPairs": 37 - }, - { - "q": -1, - "r": 3, - "dir": 5, - "steps": 38, - "bends": 34, - "featuredPairs": 37 + "steps": 19, + "bends": 14, + "featuredPairs": 18 }, { "q": 2, - "r": -3, - "dir": 2, - "steps": 37, - "bends": 34, - "featuredPairs": 36 + "r": -2, + "dir": 0, + "steps": 19, + "bends": 14, + "featuredPairs": 18 + }, + { + "q": 2, + "r": 0, + "dir": 3, + "steps": 19, + "bends": 14, + "featuredPairs": 18 + }, + { + "q": -3, + "r": 1, + "dir": 5, + "steps": 18, + "bends": 13, + "featuredPairs": 17 }, { "q": -2, "r": 3, "dir": 4, - "steps": 37, - "bends": 33, - "featuredPairs": 36 + "steps": 18, + "bends": 13, + "featuredPairs": 17 }, { - "q": 3, + "q": -1, + "r": -2, + "dir": 0, + "steps": 18, + "bends": 13, + "featuredPairs": 17 + }, + { + "q": -1, + "r": 3, + "dir": 3, + "steps": 18, + "bends": 13, + "featuredPairs": 17 + }, + { + "q": 2, "r": -3, "dir": 1, - "steps": 36, - "bends": 33, - "featuredPairs": 35 + "steps": 18, + "bends": 13, + "featuredPairs": 17 + }, + { + "q": 2, + "r": 1, + "dir": 2, + "steps": 18, + "bends": 13, + "featuredPairs": 17 + }, + { + "q": -4, + "r": 1, + "dir": 0, + "steps": 17, + "bends": 12, + "featuredPairs": 16 }, { "q": -3, "r": 4, "dir": 5, - "steps": 36, - "bends": 32, - "featuredPairs": 35 + "steps": 17, + "bends": 12, + "featuredPairs": 16 }, { - "q": 4, + "q": -1, + "r": -3, + "dir": 1, + "steps": 17, + "bends": 12, + "featuredPairs": 16 + }, + { + "q": -1, + "r": 4, + "dir": 2, + "steps": 17, + "bends": 12, + "featuredPairs": 16 + }, + { + "q": 3, "r": -4, - "dir": 3, - "steps": 35, - "bends": 32, - "featuredPairs": 34 + "dir": 2, + "steps": 17, + "bends": 12, + "featuredPairs": 16 + }, + { + "q": 3, + "r": 1, + "dir": 1, + "steps": 17, + "bends": 12, + "featuredPairs": 16 + }, + { + "q": -4, + "r": 0, + "dir": 1, + "steps": 16, + "bends": 11, + "featuredPairs": 15 }, { "q": -4, "r": 4, "dir": 0, - "steps": 35, - "bends": 31, - "featuredPairs": 34 - }, - { - "q": 4, - "r": -3, - "dir": 4, - "steps": 34, - "bends": 31, - "featuredPairs": 33 - }, - { - "q": -4, - "r": 3, - "dir": 2, - "steps": 34, - "bends": 30, - "featuredPairs": 33 - }, - { - "q": 3, - "r": -2, - "dir": 5, - "steps": 33, - "bends": 30, - "featuredPairs": 32 - }, - { - "q": -3, - "r": 3, - "dir": 1, - "steps": 33, - "bends": 29, - "featuredPairs": 32 - }, - { - "q": 2, - "r": -2, - "dir": 4, - "steps": 32, - "bends": 29, - "featuredPairs": 31 - }, - { - "q": -2, - "r": 2, - "dir": 2, - "steps": 32, - "bends": 28, - "featuredPairs": 31 - }, - { - "q": 1, - "r": -1, - "dir": 5, - "steps": 31, - "bends": 28, - "featuredPairs": 30 - }, - { - "q": -1, - "r": 2, - "dir": 1, - "steps": 31, - "bends": 27, - "featuredPairs": 30 + "steps": 16, + "bends": 11, + "featuredPairs": 15 }, { "q": 0, - "r": -1, - "dir": 4, - "steps": 30, - "bends": 27, - "featuredPairs": 29 + "r": -4, + "dir": 2, + "steps": 16, + "bends": 11, + "featuredPairs": 15 }, { "q": 0, - "r": 1, - "dir": 2, - "steps": 30, - "bends": 26, - "featuredPairs": 29 - }, - { - "q": -1, - "r": 0, - "dir": 5, - "steps": 29, - "bends": 26, - "featuredPairs": 28 - }, - { - "q": 1, - "r": 1, + "r": 4, "dir": 1, - "steps": 29, - "bends": 25, - "featuredPairs": 28 - }, - { - "q": -2, - "r": 0, - "dir": 4, - "steps": 28, - "bends": 25, - "featuredPairs": 27 - }, - { - "q": 2, - "r": 0, - "dir": 2, - "steps": 28, - "bends": 24, - "featuredPairs": 27 - }, - { - "q": -3, - "r": 1, - "dir": 4, - "steps": 27, - "bends": 25, - "featuredPairs": 26 - }, - { - "q": 3, - "r": 0, - "dir": 1, - "steps": 27, - "bends": 23, - "featuredPairs": 26 - }, - { - "q": -4, - "r": 2, - "dir": 2, - "steps": 26, - "bends": 24, - "featuredPairs": 25 + "steps": 16, + "bends": 11, + "featuredPairs": 15 }, { "q": 4, - "r": -1, - "dir": 5, - "steps": 26, - "bends": 22, - "featuredPairs": 25 + "r": -4, + "dir": 3, + "steps": 16, + "bends": 11, + "featuredPairs": 15 + }, + { + "q": 4, + "r": 0, + "dir": 0, + "steps": 16, + "bends": 11, + "featuredPairs": 15 } ] }, @@ -8920,7 +13747,7 @@ "actions": [ { "type": "tap", - "id": "t6" + "id": "t4" }, { "type": "tap", @@ -8930,25 +13757,25 @@ "type": "tap", "id": "t11" }, + { + "type": "tap", + "id": "t9" + }, { "type": "rotate", "direction": 1 }, + { + "type": "tap", + "id": "t1" + }, { "type": "tap", "id": "t7" }, { "type": "tap", - "id": "t8" - }, - { - "type": "tap", - "id": "t9" - }, - { - "type": "tap", - "id": "t1" + "id": "t5" }, { "type": "rotate", @@ -8956,11 +13783,11 @@ }, { "type": "tap", - "id": "t4" + "id": "t6" }, { "type": "tap", - "id": "t5" + "id": "t8" }, { "type": "tap", @@ -8981,18 +13808,18 @@ ] }, "prototype": { - "family": "weave", + "family": "petals", "radius": 4, - "seed": 2, + "seed": 12, "target": 12, "lock": { "hero": "t0", - "heroBends": 7, + "heroBends": 15, "search": { - "checks": 600, - "formalChecks": 600, - "heroCandidates": 132, - "poolSize": 366 + "checks": 53406, + "formalChecks": 53406, + "heroCandidates": 78, + "poolSize": 342 } }, "placements": [ @@ -9000,50 +13827,54 @@ 1, 2, 1, - 2, - 2, 0, 1, + 2, 1, + 2, 1, 0, 0 ], "rejected": { - "orientationless": 60, + "orientationless": 176, "shortcut": 0 }, "stats": { "pieces": 12, "rotations": 3, - "lockedShare": 0.75, - "lockedAtStart": 9, + "lockedShare": 0.6666666666666666, + "lockedAtStart": 8, "firstTurnDirections": 2, "releasePerTurn": [ - 4, + 3, 3, 2 ], "minRelease": 2, "waves": [ 3, - 3, + 1, + 2, 1, 2, 1, 2 ], - "states": 8 + "states": 7 }, "audit": { - "states": 3510, - "stuckStates": 88, + "states": 3648, + "stuckStates": 28, "doubleDead": 1, "maxDeadTurns": 1, "unsolvable": 0, + "endgameMinOpen": 3, + "endgameTightStates": 0, + "endgameWorst": "t0,t3", "exhausted": false }, - "monkeyActionsPerPiece": 5.78125 + "monkeyActionsPerPiece": 5.083333333333333 } }, { @@ -10679,6 +15510,9 @@ "doubleDead": 1, "maxDeadTurns": 1, 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"type": "tap", - "id": "t8" + "id": "t10" + }, + { + "type": "rotate", + "direction": 1 + }, + { + "type": "tap", + "id": "t11" + }, + { + "type": "tap", + "id": "t5" }, { "type": "rotate", @@ -22191,11 +24815,19 @@ }, { "type": "tap", - "id": "t5" + "id": "t4" + }, + { + "type": "tap", + "id": "t8" + }, + { + "type": "tap", + "id": "t1" }, { "type": "rotate", - "direction": -1 + "direction": 1 }, { "type": "tap", @@ -22208,18 +24840,18 @@ ] }, "prototype": { - "family": "orbits", - "radius": 3, - "seed": 7, - "target": 9, + "family": "crossing", + "radius": 4, + "seed": 10, + "target": 12, "lock": { "hero": "t0", - "heroBends": 8, + "heroBends": 6, "search": { - "checks": 3125, - "formalChecks": 3125, - "heroCandidates": 60, - "poolSize": 222 + "checks": 1205, + "formalChecks": 1205, + "heroCandidates": 19, + "poolSize": 366 } }, "placements": [ @@ -22227,46 +24859,55 @@ 1, 2, 1, - 0, 2, 1, 0, + 0, + 2, + 0, + 1, 1 ], "rejected": { - "orientationless": 103, + "orientationless": 243, "shortcut": 0 }, "stats": { - "pieces": 9, + "pieces": 12, "rotations": 3, - "lockedShare": 0.7777777777777778, - "lockedAtStart": 7, + "lockedShare": 0.6666666666666666, + "lockedAtStart": 8, "firstTurnDirections": 2, "releasePerTurn": [ - 3, 2, + 4, 2 ], "minRelease": 2, "waves": [ - 2, - 3, 2, 1, - 1 + 1, + 1, + 1, + 3, + 1, + 2 ], - "states": 8 + "states": 7 }, "audit": { - "states": 870, - "stuckStates": 47, - "doubleDead": 5, - "maxDeadTurns": 2, + "states": 2064, + "stuckStates": 46, + "doubleDead": 4, + "maxDeadTurns": 1, "unsolvable": 0, + "endgameMinOpen": 3, + "endgameTightStates": 0, + "endgameWorst": "t0,t3", "exhausted": false }, - "monkeyActionsPerPiece": 7.041666666666667 + "monkeyActionsPerPiece": 6.562499999999999 } }, { @@ -23456,6 +26097,9 @@ "doubleDead": 6, "maxDeadTurns": 1, "unsolvable": 0, + "endgameMinOpen": 2, + "endgameTightStates": 0, + "endgameWorst": "t0,t3,t5", "exhausted": false }, "monkeyActionsPerPiece": 5.208333333333333 @@ -23463,84 +26107,12 @@ }, { "version": 1, - "id": "proto-d5-spiral-r4-s2", - "name": "螺旋 · 深旋转", + "id": "proto-d5-orbits-r4-s3", + "name": "环绕 · 深旋转", "cells": [ { "q": -4, "r": 0, - "tracks": [ - 4, - 3, - 5, - 1, - 0, - 2 - ] - }, - { - "q": -4, - "r": 1, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -4, - "r": 2, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -4, - "r": 3, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -4, - "r": 4, - "tracks": [ - 2, - 4, - 0, - 5, - 1, - 3 - ] - }, - { - "q": -3, - "r": -1, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -3, - "r": 0, "tracks": [ 5, 3, @@ -23551,7 +26123,7 @@ ] }, { - "q": -3, + "q": -4, "r": 1, "tracks": [ 3, @@ -23563,7 +26135,7 @@ ] }, { - "q": -3, + "q": -4, "r": 2, "tracks": [ 3, @@ -23575,8 +26147,20 @@ ] }, { - "q": -3, + "q": -4, "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -4, + "r": 4, "tracks": [ 2, 4, @@ -23588,30 +26172,6 @@ }, { "q": -3, - "r": 4, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -2, - "r": -2, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -2, "r": -1, "tracks": [ 3, @@ -23623,7 +26183,7 @@ ] }, { - "q": -2, + "q": -3, "r": 0, "tracks": [ 2, @@ -23634,6 +26194,90 @@ 4 ] }, + { + "q": -3, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -3, + "r": 3, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -3, + "r": 4, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": -2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": -1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -2, + "r": 0, + "tracks": [ + 4, + 3, + 5, + 1, + 0, + 2 + ] + }, { "q": -2, "r": 1, @@ -23722,317 +26366,65 @@ "q": -1, "r": 0, "tracks": [ - 4, - 3, 5, + 3, + 4, 1, - 0, - 2 - ] - }, - { - "q": -1, - "r": 1, - "tracks": [ 2, - 4, - 0, - 5, - 1, - 3 - ] - }, - { - "q": -1, - "r": 2, - "tracks": [ - 4, - 3, - 5, - 1, - 0, - 2 - ] - }, - { - "q": -1, - "r": 3, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": -1, - "r": 4, - "tracks": [ - 4, - 3, - 5, - 1, - 0, - 2 - ] - }, - { - "q": 0, - "r": -4, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": 0, - "r": -3, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": 0, - "r": -2, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": 0, - "r": -1, - "tracks": [ - 1, - 0, - 5, - 4, - 3, - 2 - ] - }, - { - "q": 0, - "r": 0, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 0, - "r": 1, - "tracks": [ - 4, - 5, - 3, - 2, - 0, - 1 - ] - }, - { - "q": 0, - "r": 2, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": 0, - "r": 3, - "tracks": [ - 3, - 5, - 4, - 0, - 2, - 1 - ] - }, - { - "q": 0, - "r": 4, - "tracks": [ - 2, - 4, - 0, - 5, - 1, - 3 - ] - }, - { - "q": 1, - "r": -4, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 1, - "r": -3, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 1, - "r": -2, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 1, - "r": -1, - "tracks": [ - 4, - 5, - 3, - 2, - 0, - 1 - ] - }, - { - "q": 1, - "r": 0, - "tracks": [ - 4, - 2, - 1, - 5, - 0, - 3 - ] - }, - { - "q": 1, - "r": 1, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 1, - "r": 2, - "tracks": [ - 2, - 5, - 0, - 4, - 3, - 1 - ] - }, - { - "q": 1, - "r": 3, - "tracks": [ - 1, - 0, - 5, - 4, - 3, - 2 - ] - }, - { - "q": 2, - "r": -4, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 2, - "r": -3, - "tracks": [ - 3, - 4, - 5, - 0, - 1, - 2 - ] - }, - { - "q": 2, - "r": -2, - "tracks": [ - 1, - 0, - 4, - 5, - 2, - 3 - ] - }, - { - "q": 2, - "r": -1, - "tracks": [ - 5, - 4, - 3, - 2, - 1, 0 ] }, { - "q": 2, - "r": 0, + "q": -1, + "r": 1, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": -1, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -1, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": -1, + "r": 4, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 0, + "r": -4, "tracks": [ 2, 5, @@ -24043,14 +26435,266 @@ ] }, { - "q": 2, + "q": 0, + "r": -3, + "tracks": [ + 4, + 5, + 3, + 2, + 0, + 1 + ] + }, + { + "q": 0, + "r": -2, + "tracks": [ + 3, + 5, + 4, + 0, + 2, + 1 + ] + }, + { + "q": 0, + "r": -1, + "tracks": [ + 3, + 5, + 4, + 0, + 2, + 1 + ] + }, + { + "q": 0, + "r": 0, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 0, "r": 1, "tracks": [ 1, 0, + 4, + 5, + 2, + 3 + ] + }, + { + "q": 0, + "r": 2, + "tracks": [ + 1, + 0, + 4, + 5, + 2, + 3 + ] + }, + { + "q": 0, + "r": 3, + "tracks": [ + 3, 5, 4, + 0, + 2, + 1 + ] + }, + { + "q": 0, + "r": 4, + "tracks": [ 3, + 5, + 4, + 0, + 2, + 1 + ] + }, + { + "q": 1, + "r": -4, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 1, + "r": -3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 1, + "r": -2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 1, + "r": -1, + "tracks": [ + 4, + 2, + 1, + 5, + 0, + 3 + ] + }, + { + "q": 1, + "r": 0, + "tracks": [ + 4, + 3, + 5, + 1, + 0, + 2 + ] + }, + { + "q": 1, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 1, + "r": 2, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 1, + "r": 3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 2, + "r": -4, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 2, + "r": -3, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 2, + "r": -2, + "tracks": [ + 2, + 4, + 0, + 5, + 1, + 3 + ] + }, + { + "q": 2, + "r": -1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, + 2 + ] + }, + { + "q": 2, + "r": 0, + "tracks": [ + 4, + 5, + 3, + 2, + 0, + 1 + ] + }, + { + "q": 2, + "r": 1, + "tracks": [ + 3, + 4, + 5, + 0, + 1, 2 ] }, @@ -24082,11 +26726,11 @@ "q": 3, "r": -3, "tracks": [ - 4, - 2, 1, - 5, 0, + 4, + 5, + 2, 3 ] }, @@ -24119,11 +26763,11 @@ "r": 0, "tracks": [ 4, - 5, - 3, 2, + 1, + 5, 0, - 1 + 3 ] }, { @@ -24142,11 +26786,11 @@ "q": 4, "r": -4, "tracks": [ - 2, 4, - 0, - 5, + 2, 1, + 5, + 0, 3 ] }, @@ -24191,96 +26835,96 @@ "r": 0, "tracks": [ 4, - 2, - 1, + 3, 5, + 1, 0, - 3 + 2 ] } ], "tiles": [ { - "q": -1, - "r": 4, - "dir": 5, + "q": 2, + "r": -2, + "dir": 4, "id": "t0", "color": 0 }, { - "q": 1, + "q": 3, "r": -1, - "dir": 2, + "dir": 4, "id": "t1", "color": 1 }, - { - "q": -3, - "r": 3, - "dir": 0, - "id": "t2", - "color": 2 - }, { "q": -4, "r": 4, "dir": 2, + "id": "t2", + "color": 2 + }, + { + "q": 4, + "r": -1, + "dir": 3, "id": "t3", "color": 3 }, { "q": 0, - "r": 0, - "dir": 4, + "r": 4, + "dir": 1, "id": "t4", "color": 4 }, { - "q": 3, - "r": 1, - "dir": 1, + "q": 0, + "r": -2, + "dir": 0, "id": "t5", "color": 5 }, { - "q": 0, - "r": -3, - "dir": 1, + "q": 1, + "r": 3, + "dir": 2, "id": "t6", "color": 6 }, { - "q": 1, - "r": 2, - "dir": 3, + "q": -2, + "r": 0, + "dir": 4, "id": "t7", "color": 0 }, { - "q": -1, - "r": -2, - "dir": 3, + "q": -2, + "r": -1, + "dir": 0, "id": "t8", "color": 1 }, { "q": 4, - "r": -2, - "dir": 4, + "r": -3, + "dir": 5, "id": "t9", "color": 2 }, { - "q": 4, - "r": -4, - "dir": 2, + "q": -1, + "r": 1, + "dir": 4, "id": "t10", "color": 3 }, { - "q": -2, - "r": 1, - "dir": 5, + "q": 0, + "r": -3, + "dir": 0, "id": "t11", "color": 4 } @@ -24288,11 +26932,11 @@ "moveLimit": 12, "rotationEnabled": true, "routeDesign": { - "family": "spiral", + "family": "orbits", "variant": 0, - "seed": 2, + "seed": 3, "radius": 4, - "gateVariant": 2, + "gateVariant": 3, "featured": [ { "q": -4, @@ -24432,36 +27076,18 @@ "a": 0, "b": 2 }, - { - "q": -1, - "r": 2, - "a": 1, - "b": 3 - }, { "q": -1, "r": 2, "a": 2, "b": 5 }, - { - "q": -1, - "r": 3, - "a": 0, - "b": 3 - }, { "q": -1, "r": 3, "a": 2, "b": 5 }, - { - "q": -1, - "r": 4, - "a": 0, - "b": 4 - }, { "q": -1, "r": 4, @@ -24471,14 +27097,32 @@ { "q": 0, "r": -4, - "a": 2, + "a": 0, + "b": 2 + }, + { + "q": 0, + "r": -4, + "a": 3, + "b": 4 + }, + { + "q": 0, + "r": -3, + "a": 0, "b": 4 }, { "q": 0, "r": -3, "a": 2, - "b": 4 + "b": 3 + }, + { + "q": 0, + "r": -2, + "a": 0, + "b": 3 }, { "q": 0, @@ -24489,7 +27133,13 @@ { "q": 0, "r": -1, - "a": 3, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": -1, + "a": 2, "b": 4 }, { @@ -24502,80 +27152,98 @@ "q": 0, "r": 1, "a": 0, - "b": 4 - }, - { - "q": 0, - "r": 1, - "a": 1, - "b": 5 - }, - { - "q": 0, - "r": 2, - "a": 1, - "b": 5 - }, - { - "q": 0, - "r": 3, - "a": 1, - "b": 5 - }, - { - "q": 0, - "r": 4, - "a": 3, - "b": 5 - }, - { - "q": 1, - "r": -4, - "a": 2, - "b": 5 - }, - { - "q": 1, - "r": -3, - "a": 2, - "b": 5 - }, - { - "q": 1, - "r": -2, - "a": 2, - "b": 5 - }, - { - "q": 1, - "r": -1, - "a": 2, - "b": 3 - }, - { - "q": 1, - "r": 0, - "a": 0, - "b": 4 - }, - { - "q": 1, - "r": 1, - "a": 1, - "b": 4 - }, - { - "q": 1, - "r": 2, - "a": 3, - "b": 4 - }, - { - "q": 1, - "r": 3, - "a": 0, "b": 1 }, + { + "q": 0, + "r": 1, + "a": 3, + "b": 5 + }, + { + "q": 0, + "r": 2, + "a": 0, + "b": 1 + }, + { + "q": 0, + "r": 2, + "a": 3, + "b": 5 + }, + { + "q": 0, + "r": 3, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": 3, + "a": 1, + "b": 5 + }, + { + "q": 0, + "r": 4, + "a": 0, + "b": 3 + }, + { + "q": 0, + "r": 4, + "a": 1, + "b": 5 + }, + { + "q": 1, + "r": -4, + "a": 2, + "b": 5 + }, + { + "q": 1, + "r": -3, + "a": 2, + "b": 5 + }, + { + "q": 1, + "r": -2, + "a": 2, + "b": 5 + }, + { + "q": 1, + "r": -1, + "a": 3, + "b": 5 + }, + { + "q": 1, + "r": 0, + "a": 0, + "b": 4 + }, + { + "q": 1, + "r": 1, + "a": 1, + "b": 4 + }, + { + "q": 1, + "r": 2, + "a": 1, + "b": 4 + }, + { + "q": 1, + "r": 3, + "a": 1, + "b": 4 + }, { "q": 2, "r": -4, @@ -24598,19 +27266,19 @@ "q": 2, "r": -1, "a": 0, - "b": 5 + "b": 3 }, { "q": 2, "r": 0, - "a": 3, + "a": 0, "b": 4 }, { "q": 2, "r": 1, - "a": 0, - "b": 1 + "a": 1, + "b": 4 }, { "q": 2, @@ -24687,292 +27355,292 @@ ], "heroStarts": [ { - "q": -1, + "q": 0, "r": 4, "dir": 0, - "steps": 65, - "bends": 30, - "featuredPairs": 64 + "steps": 69, + "bends": 28, + "featuredPairs": 68 }, { "q": 0, - "r": 4, - "dir": 5, - "steps": 65, - "bends": 30, - "featuredPairs": 64 + "r": -4, + "dir": 2, + "steps": 69, + "bends": 27, + "featuredPairs": 68 }, { - "q": -1, + "q": 0, "r": 3, "dir": 0, - "steps": 64, - "bends": 30, - "featuredPairs": 63 + "steps": 68, + "bends": 28, + "featuredPairs": 67 }, { - "q": -1, - "r": 4, - "dir": 5, - "steps": 64, - "bends": 30, - "featuredPairs": 63 + "q": 1, + "r": -4, + "dir": 2, + "steps": 68, + "bends": 27, + "featuredPairs": 67 }, { - "q": -2, - "r": 4, + "q": 0, + "r": 2, "dir": 5, - "steps": 63, - "bends": 30, - "featuredPairs": 62 + "steps": 67, + "bends": 27, + "featuredPairs": 66 + }, + { + "q": 2, + "r": -4, + "dir": 2, + "steps": 67, + "bends": 27, + "featuredPairs": 66 }, { "q": -1, "r": 2, - "dir": 1, - "steps": 63, - "bends": 29, - "featuredPairs": 62 - }, - { - "q": -3, - "r": 4, "dir": 5, - "steps": 62, - "bends": 30, - "featuredPairs": 61 - }, - { - "q": 0, - "r": 1, - "dir": 0, - "steps": 62, - "bends": 28, - "featuredPairs": 61 - }, - { - "q": -4, - "r": 4, - "dir": 0, - "steps": 61, - "bends": 29, - "featuredPairs": 60 - }, - { - "q": 0, - "r": 0, - "dir": 0, - "steps": 61, - "bends": 28, - "featuredPairs": 60 - }, - { - "q": -4, - "r": 3, - "dir": 0, - "steps": 60, - "bends": 29, - "featuredPairs": 59 - }, - { - "q": 0, - "r": -1, - "dir": 4, - "steps": 60, + "steps": 66, "bends": 27, - "featuredPairs": 59 - }, - { - "q": -4, - "r": 2, - "dir": 0, - "steps": 59, - "bends": 29, - "featuredPairs": 58 - }, - { - "q": -1, - "r": 0, - "dir": 3, - "steps": 59, - "bends": 26, - "featuredPairs": 58 - }, - { - "q": -4, - "r": 1, - "dir": 0, - "steps": 58, - "bends": 29, - "featuredPairs": 57 - }, - { - "q": -1, - "r": 1, - "dir": 2, - "steps": 58, - "bends": 25, - "featuredPairs": 57 - }, - { - "q": -4, - "r": 0, - "dir": 1, - "steps": 57, - "bends": 28, - "featuredPairs": 56 - }, - { - "q": 0, - "r": 1, - "dir": 1, - "steps": 57, - "bends": 24, - "featuredPairs": 56 - }, - { - "q": -3, - "r": -1, - "dir": 1, - "steps": 56, - "bends": 28, - "featuredPairs": 55 - }, - { - "q": 1, - "r": 0, - "dir": 0, - "steps": 56, - "bends": 23, - "featuredPairs": 55 - }, - { - "q": -2, - "r": -2, - "dir": 1, - "steps": 55, - "bends": 28, - "featuredPairs": 54 - }, - { - "q": 1, - "r": -1, - "dir": 2, - "steps": 55, - "bends": 22, - "featuredPairs": 54 - }, - { - "q": -1, - "r": -3, - "dir": 1, - "steps": 54, - "bends": 28, - "featuredPairs": 53 - }, - { - "q": 2, - "r": -1, - "dir": 0, - "steps": 54, - "bends": 21, - "featuredPairs": 53 - }, - { - "q": 0, - "r": -4, - "dir": 2, - "steps": 53, - "bends": 27, - "featuredPairs": 52 - }, - { - "q": 2, - "r": -2, - "dir": 5, - "steps": 53, - "bends": 20, - "featuredPairs": 52 - }, - { - "q": 1, - "r": -4, - "dir": 2, - "steps": 52, - "bends": 27, - "featuredPairs": 51 - }, - { - "q": 1, - "r": -2, - "dir": 5, - "steps": 52, - "bends": 20, - "featuredPairs": 51 - }, - { - "q": 2, - "r": -4, - "dir": 2, - "steps": 51, - "bends": 27, - "featuredPairs": 50 - }, - { - "q": 0, - "r": -2, - "dir": 4, - "steps": 51, - "bends": 19, - "featuredPairs": 50 + "featuredPairs": 65 }, { "q": 3, "r": -4, "dir": 2, - "steps": 50, + "steps": 66, "bends": 27, - "featuredPairs": 49 + "featuredPairs": 65 }, { - "q": -1, - "r": -1, - "dir": 4, - "steps": 50, - "bends": 19, - "featuredPairs": 49 + "q": -2, + "r": 2, + "dir": 0, + "steps": 65, + "bends": 26, + "featuredPairs": 64 }, { "q": 4, "r": -4, "dir": 3, - "steps": 49, + "steps": 65, "bends": 26, - "featuredPairs": 48 + "featuredPairs": 64 }, { "q": -2, - "r": 0, - "dir": 3, - "steps": 49, - "bends": 18, - "featuredPairs": 48 + "r": 1, + "dir": 0, + "steps": 64, + "bends": 26, + "featuredPairs": 63 }, { "q": 4, "r": -3, "dir": 3, - "steps": 48, + "steps": 64, "bends": 26, - "featuredPairs": 47 + "featuredPairs": 63 + }, + { + "q": 4, + "r": -2, + "dir": 3, + "steps": 63, + "bends": 26, + "featuredPairs": 62 }, { "q": -2, - "r": 1, + "r": 0, + "dir": 1, + "steps": 63, + "bends": 25, + "featuredPairs": 62 + }, + { + "q": 4, + "r": -1, "dir": 3, - "steps": 48, + "steps": 62, + "bends": 26, + "featuredPairs": 61 + }, + { + "q": -1, + "r": -1, + "dir": 1, + "steps": 62, + "bends": 25, + "featuredPairs": 61 + }, + { + "q": 4, + "r": 0, + "dir": 4, + "steps": 61, + "bends": 25, + "featuredPairs": 60 + }, + { + "q": 0, + "r": -2, + "dir": 2, + "steps": 61, + "bends": 24, + "featuredPairs": 60 + }, + { + "q": 3, + "r": 1, + "dir": 4, + "steps": 60, + "bends": 25, + "featuredPairs": 59 + }, + { + "q": 1, + "r": -2, + "dir": 2, + "steps": 60, + "bends": 24, + "featuredPairs": 59 + }, + { + "q": 2, + "r": 2, + "dir": 4, + "steps": 59, + "bends": 25, + "featuredPairs": 58 + }, + { + "q": 2, + "r": -2, + "dir": 3, + "steps": 59, + "bends": 23, + "featuredPairs": 58 + }, + { + "q": 1, + "r": 3, + "dir": 4, + "steps": 58, + "bends": 25, + "featuredPairs": 57 + }, + { + "q": 2, + "r": -1, + "dir": 3, + "steps": 58, + "bends": 23, + "featuredPairs": 57 + }, + { + "q": 0, + "r": 4, + "dir": 5, + "steps": 57, + "bends": 24, + "featuredPairs": 56 + }, + { + "q": 2, + "r": 0, + "dir": 4, + "steps": 57, + "bends": 22, + "featuredPairs": 56 + }, + { + "q": -1, + "r": 4, + "dir": 5, + "steps": 56, + "bends": 24, + "featuredPairs": 55 + }, + { + "q": 1, + "r": 1, + "dir": 4, + "steps": 56, + "bends": 22, + "featuredPairs": 55 + }, + { + "q": -2, + "r": 4, + "dir": 5, + "steps": 55, + "bends": 24, + "featuredPairs": 54 + }, + { + "q": 0, + "r": 2, + "dir": 0, + "steps": 55, + "bends": 21, + "featuredPairs": 54 + }, + { + "q": -3, + "r": 4, + "dir": 5, + "steps": 54, + "bends": 24, + "featuredPairs": 53 + }, + { + "q": 0, + "r": 1, + "dir": 5, + "steps": 54, + "bends": 20, + "featuredPairs": 53 + }, + { + "q": -4, + "r": 4, + "dir": 0, + "steps": 53, + "bends": 23, + "featuredPairs": 52 + }, + { + "q": -1, + "r": 1, + "dir": 0, + "steps": 53, + "bends": 19, + "featuredPairs": 52 + }, + { + "q": -4, + "r": 3, + "dir": 0, + "steps": 52, + "bends": 23, + "featuredPairs": 51 + }, + { + "q": -1, + "r": 0, + "dir": 1, + "steps": 52, "bends": 18, - "featuredPairs": 47 + "featuredPairs": 51 } ] }, @@ -24986,18 +27654,6 @@ "type": "tap", "id": "t6" }, - { - "type": "tap", - "id": "t10" - }, - { - "type": "tap", - "id": "t11" - }, - { - "type": "rotate", - "direction": 1 - }, { "type": "tap", "id": "t7" @@ -25006,13 +27662,25 @@ "type": "tap", "id": "t8" }, + { + "type": "rotate", + "direction": 1 + }, + { + "type": "tap", + "id": "t1" + }, { "type": "tap", "id": "t9" }, { "type": "tap", - "id": "t1" + "id": "t11" + }, + { + "type": "tap", + "id": "t5" }, { "type": "rotate", @@ -25024,7 +27692,7 @@ }, { "type": "tap", - "id": "t5" + "id": "t10" }, { "type": "tap", @@ -25032,7 +27700,7 @@ }, { "type": "rotate", - "direction": -1 + "direction": 1 }, { "type": "tap", @@ -25045,17 +27713,17 @@ ] }, "prototype": { - "family": "spiral", + "family": "orbits", "radius": 4, - "seed": 2, + "seed": 3, "target": 12, "lock": { "hero": "t0", - "heroBends": 25, + "heroBends": 14, "search": { - "checks": 61439, - "formalChecks": 61439, - "heroCandidates": 101, + "checks": 125, + "formalChecks": 125, + "heroCandidates": 104, "poolSize": 366 } }, @@ -25065,16 +27733,16 @@ 2, 1, 2, + 1, + 0, + 0, + 0, + 1, 2, - 0, - 1, - 1, - 1, - 0, - 0 + 1 ], "rejected": { - "orientationless": 44, + "orientationless": 59, "shortcut": 0 }, "stats": { @@ -25095,1671 +27763,23 @@ 1, 2, 1, - 2 + 1, + 1 ], - "states": 9 + "states": 8 }, "audit": { - "states": 1728, - "stuckStates": 69, - "doubleDead": 6, + "states": 2604, + "stuckStates": 98, + "doubleDead": 10, "maxDeadTurns": 2, "unsolvable": 0, + "endgameMinOpen": 2, + "endgameTightStates": 0, + "endgameWorst": "t2,t3", "exhausted": false }, - "monkeyActionsPerPiece": 9.343750000000002 - } - }, - { - "version": 1, - "id": "proto-d5-spiral-r4-s1", - "name": "螺旋 · 深旋转", - "cells": [ - { - "q": -4, - "r": 0, - "tracks": [ - 2, - 3, - 0, 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4, - "steps": 49, - "bends": 17, - "featuredPairs": 48 - }, - { - "q": 4, - "r": -3, - "dir": 3, - "steps": 48, - "bends": 23, - "featuredPairs": 47 - }, - { - "q": -2, - "r": 0, - "dir": 3, - "steps": 48, - "bends": 16, - "featuredPairs": 47 - } - ] - }, - "experience": { - "kind": "deep", - "feature": { - "id": "t0" - }, - "actions": [ - { - "type": "tap", - "id": "t6" - }, - { - "type": "tap", - "id": "t8" - }, - { - "type": "tap", - "id": "t11" - }, - { - "type": "tap", - "id": "t10" - }, - { - "type": "tap", - "id": "t9" - }, - { - "type": "rotate", - "direction": 1 - }, - { - "type": "tap", - "id": "t5" - }, - { - "type": "tap", - "id": "t7" - }, - { - "type": "tap", - "id": "t1" - }, - { - "type": "tap", - "id": "t4" - }, - { - "type": "rotate", - "direction": 1 - }, - { - "type": "tap", - "id": "t2" - }, - { - "type": "rotate", - "direction": -1 - }, - { - "type": "tap", - "id": "t0" - }, - { - "type": "tap", - "id": "t3" - } - ] - }, - "prototype": { - "family": "spiral", - "radius": 4, - "seed": 1, - "target": 12, - "lock": { - "hero": "t0", - "heroBends": 9, - "search": { - "checks": 41798, - "formalChecks": 41798, - "heroCandidates": 100, - "poolSize": 366 - } - }, - "placements": [ - 1, - 1, - 2, - 1, - 2, - 1, - 0, - 1, - 0, - 2, - 1, - 0 - ], - "rejected": { - "orientationless": 450, - "shortcut": 0 - }, - "stats": { - "pieces": 12, - "rotations": 3, - "lockedShare": 0.5833333333333334, - "lockedAtStart": 7, - "firstTurnDirections": 2, - "releasePerTurn": [ - 4, - 1, - 2 - ], - "minRelease": 1, - "waves": [ - 3, - 1, - 1, - 2, - 1, - 1, - 1, - 1, - 1 - ], - "states": 9 - }, - "audit": { - "states": 2094, - "stuckStates": 30, - "doubleDead": 6, - "maxDeadTurns": 2, - "unsolvable": 0, - "exhausted": false - }, - "monkeyActionsPerPiece": 6.739583333333333 + "monkeyActionsPerPiece": 5.260416666666667 } } ] diff --git a/scripts/build-bench-report.mjs b/scripts/build-bench-report.mjs index 146a478..9c0326c 100644 --- a/scripts/build-bench-report.mjs +++ b/scripts/build-bench-report.mjs @@ -34,6 +34,7 @@ const BATCHES = [ { tag: 'Codex CLI · gpt-6-astra low', label: 'gpt-6-astra · low · 新盘面', short: 'astra', format: 'new' }, { tag: 'Codex CLI · spark xhigh', label: 'codex-spark · xhigh · 新盘面', short: 'spark新', format: 'new' }, { tag: 'Kimi CLI · k3 high', label: 'kimi-k3 · high · 新盘面', short: 'kimi', format: 'new' }, + { tag: 'pi · Grok 4.6 xhigh · 新门槛', label: 'grok-4.6 · 新关卡集（终局门槛后）', short: 'grok新关', format: 'new' }, ]; // Batches run under the fixed board format, i.e. everything that can be diff --git a/scripts/prototype-d5.mjs b/scripts/prototype-d5.mjs index 11f21f3..476d531 100644 --- a/scripts/prototype-d5.mjs +++ b/scripts/prototype-d5.mjs @@ -65,9 +65,17 @@ for (const { id: family } of ROUTE_FAMILIES) for (const radius of RADII) { // locked opening, a first turn that only works one way, or any stuck state // where neither adjacent orientation opens anything. const grownEnough = rows.filter(r => r.stats.pieces >= MIN_PIECES); -const playable = grownEnough.filter(r => r.audit.unsolvable === 0 && r.stats.firstTurnDirections === 2 && r.stats.lockedShare <= .9); +// The endgame gate: with three pieces or fewer left, at least two of the six +// orientations must release something. One is a 1-in-6 guess with a dead end +// behind every other door — solvable, legible, and still the thing that made +// an agent give up. It rejects exactly the levels every model stalled on. +const playable = grownEnough.filter(r => r.audit.unsolvable === 0 && r.stats.firstTurnDirections === 2 + && r.stats.lockedShare <= .9 && r.audit.endgameMinOpen >= 2); playable.sort((a, b) => (a.audit.doubleDead - b.audit.doubleDead) || (b.stats.minRelease - a.stats.minRelease) || (b.stats.lockedShare - a.stats.lockedShare) || (a.apt - b.apt)); -console.log(`\n【可玩性门槛】长成 ${grownEnough.length} 关 → 首转双向 ${grownEnough.filter(r => r.stats.firstTurnDirections === 2).length} → 开局锁住 ≤90% ${grownEnough.filter(r => r.stats.firstTurnDirections === 2 && r.stats.lockedShare <= .9).length} → 无不可解可达态 ${playable.length}`); +const g1 = grownEnough.filter(r => r.stats.firstTurnDirections === 2); +const g2 = g1.filter(r => r.stats.lockedShare <= .9); +const g3 = g2.filter(r => r.audit.unsolvable === 0); +console.log(`\n【可玩性门槛】长成 ${grownEnough.length} 关 → 首转双向 ${g1.length} → 开局锁住 ≤90% ${g2.length} → 无不可解可达态 ${g3.length} → 终局可走朝向 ≥2 ${playable.length}`); const kept = []; const perFamily = {}; for (const row of playable) { @@ -91,8 +99,8 @@ console.log(` 每次旋转最少释放 ≥2 枚的关: ${all.filter(s => s.minR console.log(` 首转只有一侧能开路的关: ${all.filter(s => s.firstTurnDirections === 1).length}/${all.length}`); console.log(` 猴子 动作/棋子 中位 ${med(rows.map(r => r.apt)).toFixed(2)} （v0.5 全库 1.67 · v0.4 手作 3.42）`); console.log(`\n【写入 ${kept.length} 关】`); -console.log(' id 格 枚 R 锁住% 每转释放 首转方向 双向死转态 最长盲转 猴子APT hero弯'); -for (const { level, stats, audit, apt } of kept) console.log(' ' + level.id.padEnd(36) + pad(level.cells.length, 3) + pad(stats.pieces, 4) + pad(stats.rotations, 3) + pad((stats.lockedShare * 100).toFixed(0) + '%', 7) + ' ' + stats.releasePerTurn.join('/').padEnd(12) + pad(stats.firstTurnDirections === 1 ? '单向' : '双向', 6) + pad(audit.doubleDead, 10) + pad(audit.maxDeadTurns, 9) + pad(apt.toFixed(2), 9) + pad(level.prototype.lock.heroBends, 7)); +console.log(' id 格 枚 R 锁住% 每转释放 首转方向 双向死转态 最长盲转 终局路口 猴子APT hero弯'); +for (const { level, stats, audit, apt } of kept) console.log(' ' + level.id.padEnd(36) + pad(level.cells.length, 3) + pad(stats.pieces, 4) + pad(stats.rotations, 3) + pad((stats.lockedShare * 100).toFixed(0) + '%', 7) + ' ' + stats.releasePerTurn.join('/').padEnd(12) + pad(stats.firstTurnDirections === 1 ? '单向' : '双向', 6) + pad(audit.doubleDead, 10) + pad(audit.maxDeadTurns, 9) + pad(audit.endgameMinOpen, 9) + pad(apt.toFixed(2), 9) + pad(level.prototype.lock.heroBends, 7)); console.log('\n 「双向死转态」= 可达的卡住状态里，左右各转一次都打不开任何棋子的状态数；「最长盲转」= 从某个可达卡住态朝错误方向连转、遇到第一个有效朝向前经过的空朝向数。'); mkdirSync(dirname(OUT), { recursive: true }); diff --git a/src/deep-lock.js b/src/deep-lock.js index a82bcd3..2833c30 100644 --- a/src/deep-lock.js +++ b/src/deep-lock.js @@ -179,15 +179,38 @@ export function deepLevelStats(level) { // sequence). Removal only reduces occupancy and turns are reversible, so no // reachable state can be unsolvable — the audit proves it rather than assuming // it — and it measures how many blind turns a player can run into. +// A level is judged on its endgame with this many pieces or fewer left. +const ENDGAME_PIECES = 3; + export function deadTurnAudit(level, maxStates = 20000) { const boards = Array.from({ length: 6 }, (_, i) => rotateBoard(level, i)); const keyOf = (o, rem) => o + ':' + [...rem].sort().join(','); const start = { o: 0, rem: new Set(level.tiles.map(t => t.id)) }; const seen = new Map([[keyOf(0, start.rem), start]]), queue = [start]; let stuckStates = 0, doubleDead = 0, maxDeadTurns = 0, unsolvable = 0; + // The endgame is where every model complained: two pieces left, nothing on + // the board saying which way to turn. Count how many of the six orientations + // release anything at all — one is a 1-in-6 guess with a dead end behind + // every other door, which is what made an agent give up on a solvable level. + const openCache = new Map(); + let endgameMinOpen = 6, endgameTightStates = 0, endgameWorst = null; + const openOrientations = rem => { + const k = [...rem].sort().join(','); + if (openCache.has(k)) return openCache.get(k); + const tiles = level.tiles.filter(t => rem.has(t.id)); + let n = 0; + for (let o = 0; o < 6; o++) if (available(boards[o], tiles).length) n++; + openCache.set(k, n); + return n; + }; while (queue.length && seen.size < maxStates) { const state = queue.shift(); if (!state.rem.size) continue; + if (state.rem.size <= ENDGAME_PIECES) { + const open = openOrientations(state.rem); + if (open <= 1) endgameTightStates++; + if (open < endgameMinOpen) { endgameMinOpen = open; endgameWorst = [...state.rem].sort().join(','); } + } const tiles = level.tiles.filter(t => state.rem.has(t.id)), free = available(boards[state.o], tiles); if (!free.length) { stuckStates++; @@ -206,7 +229,9 @@ export function deadTurnAudit(level, maxStates = 20000) { if (!seen.has(k)) { const next = { o, rem: state.rem }; seen.set(k, next); queue.push(next); } } } - return { states: seen.size, stuckStates, doubleDead, maxDeadTurns, unsolvable, exhausted: seen.size >= maxStates }; + return { states: seen.size, stuckStates, doubleDead, maxDeadTurns, unsolvable, + endgameMinOpen: endgameMinOpen === 6 && !openCache.size ? null : endgameMinOpen, + endgameTightStates, endgameWorst, exhausted: seen.size >= maxStates }; } export const deepLevelKey = level => level.tiles.map(t => `${t.q},${t.r},${t.dir}`).sort().join('|');