diff --git a/docs/source/explainable_categorical_alternate.ipynb b/docs/source/explainable_categorical_alternate.ipynb
index 6896e229..52f944e3 100644
--- a/docs/source/explainable_categorical_alternate.ipynb
+++ b/docs/source/explainable_categorical_alternate.ipynb
@@ -11,7 +11,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "The **Explainable Reasoning with ChiRho** package aims to provide a systematic, unified approach to causal explanation computations. The package provides a single generic program transformation that can be applied to any arbitrary causal model representable as a Chirho program. This program transformation allows several causal explanation queries to be modeled in terms of probabilistic queries. This approach of reducing causal queries to probabilistic computations on transformed causal models is the foundational idea behind all of ChiRho and has been leveraged for causal explanations in this module as well.\n",
+    "The **Explainable Reasoning with ChiRho** package aims to provide a systematic, unified approach to causal explanation computations. The package provides a single generic program transformation that can be applied to any arbitrary causal model representable as a Chirho program. This program transformation allows several causal explanation queries to be modeled in terms of probabilistic queries. This approach of reducing causal queries to probabilistic computations on transformed causal models is the foundational idea behind all of ChiRho and in this module, has been leveraged for causal explanations as well.\n",
     "\n",
     "The goal of this notebook is to illustrate how the package can be used to provide an approximate method of answering a range of causal explanation queries in causal models with only categorical variables. As the key tool will involve sampling-based posterior probability estimation, a lot of what will be said *mutatis mutandis* applies to more general settings where variables are continuous (to which we will devote another tutorial).\n",
     "\n",
@@ -24,14 +24,15 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "[Poorva: come back to this outline for better headlines]\n",
-    "\n",
     "**Outline**\n",
     "\n",
-    "[Causal explanation and counterfactual thinking](#causal-explanation-and-counterfactual-thinking)     \n",
+    "[Overview](#overview)\n",
+    "\n",
+    "[Setup](#setup)\n",
     "\n",
+    "[But-for Causal Explanations](#but-for-causal-explanations)     \n",
     "\n",
-    "[Witness nodes and context sensitivity](#witness-nodes-and-context-sensitivity)\n",
+    "[Context-sensitive Causal Explanations](#witness-nodes-and-context-sensitivity)\n",
     "\n",
     "[Probability of causation and responsibility](#probability-of-causation-and-responsibility)"
    ]
@@ -40,7 +41,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Causal explanation and counterfactual thinking"
+    "## Overview"
    ]
   },
   {
@@ -76,12 +77,12 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Setup"
+    "## Setup"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -120,7 +121,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 65,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -147,7 +148,7 @@
     "                *args,\n",
     "                num_samples=num_samples,\n",
     "                max_plate_nesting=max_plate_nesting,\n",
-    "                normalized=True,\n",
+    "                normalized=False,\n",
     "                **kwargs\n",
     "            )\n",
     "\n",
@@ -162,6 +163,13 @@
     "      return {i: KernelSoftConditionReparam(_soft_eq) for i in data}"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## But-for Causal Explanations"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -171,9 +179,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 64,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'u_match_dropped': Boolean(), 'match_dropped': IndependentConstraint(Real(), 0), 'u_lightning': Boolean(), 'lightning': IndependentConstraint(Real(), 0), 'smile': Boolean(), 'forest_fire': IndependentConstraint(Real(), 0)}\n"
+     ]
+    },
     {
      "data": {
       "image/svg+xml": [
@@ -227,10 +242,10 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<graphviz.graphs.Digraph at 0x1396076d0>"
+       "<graphviz.graphs.Digraph at 0x134e8f9d0>"
       ]
      },
-     "execution_count": 64,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -283,7 +298,9 @@
     "4. the elements of the current context (`witnesses`), and  \n",
     "5. the `consequents` of interest $Y=y$. \n",
     "\n",
-    "The  `SearchForExplanation` handler then takes these arguments and transforms the original model into another model in which interventions on antecedents and witnesses are applied stochastically. Once the antecedents `A` and witnesses `W` are chosen, parallel counterfactual worlds are created to condition on `A` being sufficient and necessary causes for the consequent with the context `W`."
+    "The  `SearchForExplanation` handler then takes these arguments and transforms the original model into another model in which interventions on antecedents and witnesses are applied stochastically. Once the antecedents `A` and witnesses `W` are chosen, parallel counterfactual worlds are created to condition on `A` being sufficient and necessary causes for the consequent with the context `W`.\n",
+    "\n",
+    "And now, we are ready to use `SearchForExplanation` for answering but-for causal questions."
    ]
   },
   {
@@ -299,14 +316,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.2951)\n"
+      "tensor(0.2947)\n"
      ]
     }
    ],
@@ -333,14 +350,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.5970)\n"
+      "tensor(0.5993)\n"
      ]
     }
    ],
@@ -353,35 +370,33 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "A similar estimation as above would not work in case of overdetermination where one of the two factors are enough to cause the outcome. Consider the case where both `match_dropped` and `lightning` did occur. In this case, if we try to determine the causal role of `match_dropped`, it would come out to be zero. And a symmetric reasoning works for lightning as well. This results in $P(f'_{m'}, f_m, m, l) = P(f'_{l'}, f_l, m, l)=0$"
+    "**Causal Query 2** Is a Chirho developer smiling a cause of forest fire?\n",
+    "\n",
+    "The intuitive answer is obviously no and we show that the same conclusion can be drawn using `SearchForExplanation` handler."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(2.8615e-06)\n"
+      "tensor(1.0011e-05)\n"
      ]
     }
    ],
    "source": [
     "query = SearchForExplanation(\n",
     "    supports=forest_fire_supports,\n",
-    "    antecedents={\"match_dropped\": torch.tensor(1.0)},\n",
+    "    antecedents={\"smile\": torch.tensor(1.0)},\n",
     "    consequents={\"forest_fire\": torch.tensor(1.0)},\n",
     "    witnesses={}, # potential context elements, we leave them empty for now\n",
-    "    alternatives={\"match_dropped\": torch.tensor(0.0)},\n",
+    "    alternatives={\"smile\": torch.tensor(0.0)},\n",
     "    consequent_scale=1e-5,\n",
-    ")(\n",
-    "    pyro.poutine.reparam(config=reparam_config([\"match_dropped\", \"lightning\"]))(\n",
-    "        condition(data={\"match_dropped\": torch.tensor(1.0), \"lightning\": torch.tensor(1.0)})\n",
-    "            (forest_fire_model)\n",
-    "    ))\n",
+    ")(forest_fire_model)\n",
     "\n",
     "logp, trace, mwc, log_weights = importance_infer(num_samples=10000)(query)()\n",
     "print(torch.exp(logp))"
@@ -389,19 +404,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(2.8286e-06)\n"
+      "tensor(1.0011e-05)\n"
      ]
     }
    ],
    "source": [
-    "mask_intervened = trace.nodes[\"__cause____antecedent_match_dropped\"][\"value\"] == 0\n",
+    "mask_intervened = trace.nodes[\"__cause____antecedent_smile\"][\"value\"] == 0\n",
     "print(torch.sum(torch.exp(log_weights) * mask_intervened.squeeze())/torch.sum(mask_intervened.float()))"
    ]
   },
@@ -409,29 +424,29 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "But if we consider both `match_dropped` and `lightning` to be possible causes, we can estimate $P(f'_{m',l'}, f_{m,l}, m, l)$ to determine their causal role."
+    "A similar estimation as above would not work in case of overdetermination where one of the two factors are enough to cause the outcome. Consider the case where both `match_dropped` and `lightning` did occur. In this case, if we try to determine the causal role of `match_dropped`, it would come out to be zero. And a symmetric reasoning works for lightning as well. This results in $P(f'_{m'}, f_m, m, l) = P(f'_{l'}, f_l, m, l)=0$. This is a canonical example that shows the limitations of but-for analysis."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.0692)\n"
+      "tensor(2.8025e-06)\n"
      ]
     }
    ],
    "source": [
     "query = SearchForExplanation(\n",
     "    supports=forest_fire_supports,\n",
-    "    antecedents={\"match_dropped\": torch.tensor(1.0), \"lightning\": torch.tensor(1.0)},\n",
+    "    antecedents={\"match_dropped\": torch.tensor(1.0)},\n",
     "    consequents={\"forest_fire\": torch.tensor(1.0)},\n",
     "    witnesses={}, # potential context elements, we leave them empty for now\n",
-    "    alternatives={\"match_dropped\": torch.tensor(0.0), \"lightning\": torch.tensor(0.0)},\n",
+    "    alternatives={\"match_dropped\": torch.tensor(0.0)},\n",
     "    consequent_scale=1e-5,\n",
     ")(\n",
     "    pyro.poutine.reparam(config=reparam_config([\"match_dropped\", \"lightning\"]))(\n",
@@ -445,19 +460,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.2796)\n"
+      "tensor(2.7553e-06)\n"
      ]
     }
    ],
    "source": [
-    "mask_intervened = (trace.nodes[\"__cause____antecedent_match_dropped\"][\"value\"] == 0) & (trace.nodes[\"__cause____antecedent_lightning\"][\"value\"] == 0)\n",
+    "mask_intervened = trace.nodes[\"__cause____antecedent_match_dropped\"][\"value\"] == 0\n",
     "print(torch.sum(torch.exp(log_weights) * mask_intervened.squeeze())/torch.sum(mask_intervened.float()))"
    ]
   },
@@ -465,47 +480,70 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "DONE TILL HERE"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## Witness nodes and context sensitivity"
+    "But if we consider both `match_dropped` and `lightning` to be possible causes, we can estimate $P(f'_{m',l'}, f_{m,l}, m, l)$ to determine their causal role that comes out to be greater than 0."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.4616)\n"
+      "tensor(0.0682)\n"
      ]
     }
    ],
    "source": [
     "query = SearchForExplanation(\n",
     "    supports=forest_fire_supports,\n",
-    "    antecedents={\"match_dropped\": 1.0, \"lightning\": 1.0},\n",
+    "    antecedents={\"match_dropped\": torch.tensor(1.0), \"lightning\": torch.tensor(1.0)},\n",
     "    consequents={\"forest_fire\": torch.tensor(1.0)},\n",
-    "    witnesses={},\n",
-    "    alternatives={\"match_dropped\": 0.0, \"lightning\": 0.0},\n",
-    ")(forest_fire_model)\n",
+    "    witnesses={}, # potential context elements, we leave them empty for now\n",
+    "    alternatives={\"match_dropped\": torch.tensor(0.0), \"lightning\": torch.tensor(0.0)},\n",
+    "    consequent_scale=1e-5,\n",
+    ")(\n",
+    "    pyro.poutine.reparam(config=reparam_config([\"match_dropped\", \"lightning\"]))(\n",
+    "        condition(data={\"match_dropped\": torch.tensor(1.0), \"lightning\": torch.tensor(1.0)})\n",
+    "            (forest_fire_model)\n",
+    "    ))\n",
     "\n",
-    "logp, trace, mwc = importance_infer(num_samples=10000)(query)()\n",
+    "logp, trace, mwc, log_weights = importance_infer(num_samples=10000)(query)()\n",
     "print(torch.exp(logp))"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "tensor(0.2793)\n"
+     ]
+    }
+   ],
+   "source": [
+    "mask_intervened = (trace.nodes[\"__cause____antecedent_match_dropped\"][\"value\"] == 0) & (trace.nodes[\"__cause____antecedent_lightning\"][\"value\"] == 0)\n",
+    "print(torch.sum(torch.exp(log_weights) * mask_intervened.squeeze())/torch.sum(mask_intervened.float()))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Context-sensitive Causal Explanations"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "This already suggests a more complicated picture, as it turns out that we need to pay attention to membership in larger antecedent sets that would make a difference (that is one reason why we need stochasticity in antecedent candidate preemption: to search for such sets).\n",
+    "As the previous example showed, but-for analysis is not sufficient for our analysis. It induces the need to pay attention to membership of variables in larger antecedent sets that would make a difference (that is one reason why we need stochasticity in antecedent candidate preemption: to search for such sets).\n",
     "\n",
     "But even then, the but-for analysis does not pay sufficient attention to the granularity of a given problem and its causal structure. There are asymmetric cases where the efficiency of one cause prevents the efficiency of another, in which our causal attributions should also be asymmetric, but \"being a member of the same larger antecedent set\" isn't.\n",
     "\n",
@@ -514,7 +552,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
@@ -597,7 +635,7 @@
        "<text text-anchor=\"middle\" x=\"219.61\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">bill_hits</text>\n",
        "</g>\n",
        "<!-- prob_bill_hits&#45;&gt;bill_hits -->\n",
-       "<g id=\"edge7\" class=\"edge\">\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
        "<title>prob_bill_hits&#45;&gt;bill_hits</title>\n",
        "<path fill=\"none\" stroke=\"black\" d=\"M95.52,-146.33C120.5,-135.19 154.89,-119.86 181.13,-108.16\"/>\n",
        "<polygon fill=\"black\" stroke=\"black\" points=\"182.38,-111.43 190.09,-104.16 179.53,-105.04 182.38,-111.43\"/>\n",
@@ -615,7 +653,7 @@
        "<text text-anchor=\"middle\" x=\"373.61\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">bottle_shatters</text>\n",
        "</g>\n",
        "<!-- prob_bottle_shatters_if_sally&#45;&gt;bottle_shatters -->\n",
-       "<g id=\"edge11\" class=\"edge\">\n",
+       "<g id=\"edge9\" class=\"edge\">\n",
        "<title>prob_bottle_shatters_if_sally&#45;&gt;bottle_shatters</title>\n",
        "<path fill=\"none\" stroke=\"black\" d=\"M428.94,-72.05C420.06,-63.54 409.14,-53.07 399.35,-43.68\"/>\n",
        "<polygon fill=\"black\" stroke=\"black\" points=\"401.85,-41.23 392.21,-36.84 397.01,-46.28 401.85,-41.23\"/>\n",
@@ -627,7 +665,7 @@
        "<text text-anchor=\"middle\" x=\"696.61\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">prob_bottle_shatters_if_bill</text>\n",
        "</g>\n",
        "<!-- prob_bottle_shatters_if_bill&#45;&gt;bottle_shatters -->\n",
-       "<g id=\"edge8\" class=\"edge\">\n",
+       "<g id=\"edge11\" class=\"edge\">\n",
        "<title>prob_bottle_shatters_if_bill&#45;&gt;bottle_shatters</title>\n",
        "<path fill=\"none\" stroke=\"black\" d=\"M631.64,-74.92C574.16,-62.46 490.91,-44.42 434.65,-32.23\"/>\n",
        "<polygon fill=\"black\" stroke=\"black\" points=\"435.42,-28.81 424.91,-30.12 433.94,-35.66 435.42,-28.81\"/>\n",
@@ -645,13 +683,13 @@
        "<polygon fill=\"black\" stroke=\"black\" points=\"213.32,-120.13 213.26,-109.54 206.7,-117.86 213.32,-120.13\"/>\n",
        "</g>\n",
        "<!-- sally_hits&#45;&gt;bill_hits -->\n",
-       "<g id=\"edge5\" class=\"edge\">\n",
+       "<g id=\"edge7\" class=\"edge\">\n",
        "<title>sally_hits&#45;&gt;bill_hits</title>\n",
        "<path fill=\"none\" stroke=\"black\" d=\"M291.97,-145.46C279.15,-135.82 262.49,-123.28 248.39,-112.66\"/>\n",
        "<polygon fill=\"black\" stroke=\"black\" points=\"250.86,-110.14 240.76,-106.92 246.65,-115.73 250.86,-110.14\"/>\n",
        "</g>\n",
        "<!-- sally_hits&#45;&gt;bottle_shatters -->\n",
-       "<g id=\"edge9\" class=\"edge\">\n",
+       "<g id=\"edge8\" class=\"edge\">\n",
        "<title>sally_hits&#45;&gt;bottle_shatters</title>\n",
        "<path fill=\"none\" stroke=\"black\" d=\"M310.51,-143.7C309.01,-125.08 308.86,-95.03 319.61,-72 324.79,-60.9 333.36,-50.86 342.16,-42.58\"/>\n",
        "<polygon fill=\"black\" stroke=\"black\" points=\"344.22,-45.42 349.43,-36.19 339.6,-40.16 344.22,-45.42\"/>\n",
@@ -666,10 +704,10 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<graphviz.graphs.Digraph at 0x12d324e20>"
+       "<graphviz.graphs.Digraph at 0x134e66d70>"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -747,7 +785,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 186,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
@@ -777,7 +815,7 @@
     "    }\n",
     ")(stones_model))\n",
     "\n",
-    "logp, trace, mwc = importance_infer(num_samples=10000)(query)()\n",
+    "logp, trace, mwc, log_weights = importance_infer(num_samples=10000)(query)()\n",
     "print(torch.exp(logp))"
    ]
   },
@@ -792,7 +830,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "An intuitive solution to the problem, inspired by the  Pearl-Halpern definition of actual causality (which we discuss in [another notebook](https://basisresearch.github.io/chirho/actual_causality.html)) is to say that **in answering actual causality queries, we need to consider what happens when part of the actual context is kept fixed.** For instance, in the bottle shattering example, given the observed fact that Bob’s stone didn’t hit, in the counterfactual world in which we keep this observed fact fixed, if Sally nad not thrown the stone, the bottle in fact would not have shattered. \n",
+    "An intuitive solution to the problem, inspired by the  Pearl-Halpern definition of actual causality (which we discuss in [another notebook](https://basisresearch.github.io/chirho/actual_causality.html)) is to say that **in answering actual causality queries, we need to consider what happens when part of the actual context is kept fixed.** For instance, in the bottle shattering example, given the observed fact that Bob’s stone didn’t hit, in the counterfactual world in which we keep this observed fact fixed, if Sally had not thrown the stone, the bottle in fact would not have shattered. \n",
     "\n",
     "\n",
     "For this reason, our handler allows not only stochastic preemption of interventions (to approximate the search through possible antecedent sets) but also stochastic witness preemption of those nodes that are considered part of the context (these needn't exclude each other). In a witness preemption, we ensure that the counterfactual value is identical to the factual one (and by applying it randomly to candidate witness nodes, we approximate a search through all possible context sets)."
@@ -800,16 +838,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 292,
+   "execution_count": 47,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor([-1.1512e+01, -1.1512e+01, -1.1512e+01,  ..., -2.3024e+01,\n",
-      "        -1.1512e+01, -2.0027e-05])\n",
-      "tensor(0.2495)\n"
+      "tensor(0.2513)\n"
      ]
     }
    ],
@@ -832,46 +868,17 @@
     "    }\n",
     ")(stones_model))\n",
     "\n",
-    "logp, trace, mwc, logw = importance_infer(num_samples=100000)(query)()\n",
+    "logp, trace, mwc, log_weights = importance_infer(num_samples=100000)(query)()\n",
     "print(torch.exp(logp))"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": 151,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "tensor(1.)\n",
-      "torch.Size([1, 1, 1, 1, 1, 1, 1, 1, 1, 1])\n",
-      "torch.Size([1, 1, 1, 1, 1, 3, 1, 1, 1, 1])\n",
-      "torch.Size([1, 1, 1, 1, 1, 1, 1, 1, 1, 1])\n",
-      "tensor([1., 0., 1.])\n",
-      "tensor([ 0.0000, -0.0101, -0.0101])\n"
-     ]
-    }
-   ],
-   "source": [
-    "trace.nodes.keys()\n",
-    "print(trace.nodes['sally_throws'][\"value\"].squeeze())\n",
-    "print(trace.nodes['__cause____antecedent_sally_throws'][\"value\"].shape)\n",
-    "print(trace.nodes['bill_hits'][\"value\"].shape)\n",
-    "print(trace.nodes['__cause____witness_bill_hits'][\"value\"].shape)\n",
-    "print(trace.nodes['bottle_shatters'][\"value\"].squeeze())\n",
-    "print(trace.nodes['__cause____consequent_bottle_shatters'][\"log_prob\"].squeeze())"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Admittedly, our search through contexts is very simple and degenerate, as the only part of the actual context which stochastically is kept fixed at the factual value is `bill_hits`. But already with this search, sally throwing is diagnosed as having non-null probability. In fact, the definition of actual causality in Halpern's book (*Actual causality*) contains an existential quantifier: a variable is an actual cause if there is at least one context in which a change in the outcome variable would result from changing the antecedent to have an alternative value, so our search provides a correct diagnosis here.\n",
+    "Admittedly, our search through contexts is simple as the only part of the actual context which stochastically is kept fixed at the factual value is `bill_hits`. But already with this search, sally throwing is diagnosed as having non-null probability. In fact, the definition of actual causality in Halpern's book (*Actual causality*) contains an existential quantifier: a variable is an actual cause if there is at least one context in which a change in the outcome variable would result from changing the antecedent to have an alternative value, so our search provides a correct diagnosis here.\n",
     "\n",
-    "Crucally, as intended, an analogous inference for whether `bill_throws` is a cause of the bottle shattering, yields a different\n",
-    "result and assigns null causal role to bill."
+    "Crucially, as intended, an analogous inference for whether `bill_throws` is a cause of the bottle shattering, yields a different result and assigns null causal role to bill."
    ]
   },
   {
@@ -914,7 +921,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Probability of causation and responsibility"
+    "## Probability of Causation and Responsibility"
    ]
   },
   {
@@ -930,213 +937,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
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-      "        -2.0385e-05, -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.0385e-05,\n",
-      "        -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01,\n",
-      "        -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01,\n",
-      "        -2.3024e+01, -2.0385e-05, -2.0385e-05, -2.3024e+01, -2.3024e+01,\n",
-      "        -2.3024e+01, -2.3024e+01, -2.0385e-05, -2.3024e+01, -2.3024e+01,\n",
-      "        -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01, -2.3024e+01])\n"
+      "tensor(0.1439)\n"
      ]
     }
    ],
@@ -1150,9755 +958,126 @@
     "    consequent_scale=1e-5\n",
     ")(condition(\n",
     "    data={\n",
-    "        \"prob_sally_throws\": torch.tensor(1.0),\n",
-    "        \"prob_bill_throws\": torch.tensor(0.0),\n",
-    "        \"prob_sally_hits\": torch.tensor(1.0),\n",
-    "        \"prob_bill_hits\": torch.tensor(0.0),\n",
-    "        \"prob_bottle_shatters_if_sally\": torch.tensor(1.0),\n",
-    "        \"prob_bottle_shatters_if_bill\": torch.tensor(0.0),\n",
+    "        \"prob_sally_throws\": torch.tensor(0.8),\n",
+    "        \"prob_bill_throws\": torch.tensor(0.7),\n",
+    "        \"prob_sally_hits\": torch.tensor(0.9),\n",
+    "        \"prob_bill_hits\": torch.tensor(0.8),\n",
+    "        \"prob_bottle_shatters_if_sally\": torch.tensor(0.9),\n",
+    "        \"prob_bottle_shatters_if_bill\": torch.tensor(0.8),\n",
     "        \"bottle_shatters\": torch.tensor(1.0),\n",
     "    }\n",
     ")(stones_model))\n",
     "\n",
-    "logp, trace, mwc, logw = importance_infer(num_samples=1000)(query)()\n",
-    "\n",
-    "# print(logp)\n",
-    "\n",
-    "# print(torch.exp(logp))\n",
-    "\n",
-    "# nodes = trace.nodes[\"_RETURN\"][\"value\"]\n",
-    "\n",
-    "# print(trace.nodes[\"sally_throws\"][\"value\"].shape)\n",
-    "# print(nodes[\"sally_throws\"].shape)\n",
-    "# with mwc:\n",
-    "#     print(gather(nodes[\"sally_throws\"], IndexSet(sally_throws={0})).squeeze())\n",
-    "#     print(gather(nodes[\"sally_throws\"], IndexSet(sally_throws={1})).squeeze())\n",
-    "#     print(gather(nodes[\"sally_throws\"], IndexSet(sally_throws={2})).squeeze())\n",
-    "\n",
-    "#     print(gather(nodes[\"bill_throws\"], IndexSet(bill_throws={0})).squeeze())\n",
-    "#     print(gather(nodes[\"bill_throws\"], IndexSet(bill_throws={1})).squeeze())\n",
-    "#     print(gather(nodes[\"bill_throws\"], IndexSet(bill_throws={2})).squeeze())\n",
-    "\n",
-    "#     st_responsible = gather(nodes[\"sally_throws\"], IndexSet(sally_throws={1})) != \\\n",
-    "#         gather(nodes[\"sally_throws\"], IndexSet(sally_throws={2}))\n",
-    "\n",
-    "#     bt_responsible = gather(nodes[\"bill_throws\"], IndexSet(bill_throws={1})) != \\\n",
-    "#         gather(nodes[\"bill_throws\"], IndexSet(bill_throws={2}))\n",
-    "\n",
-    "# print(\"Degree of responsibility of Sally:\", st_responsible.sum() / st_responsible.numel())\n",
-    "# print(\"Degree of responsibility of Billy:\", bt_responsible.sum() / bt_responsible.numel())"
+    "logp, trace, mwc, log_weights = importance_infer(num_samples=1000)(query)()\n",
+    "print(torch.exp(logp))"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Note that we assumed Sally to be more likely to throw, more likely to hit, and more likely to shatter the bottle if she hits. For this reason, we expect her to be more likely to be causally responsible for the outcome. Conceptually, these estimates are impacted by some hyperparameters, such as witness preemption probabilities, so perhaps a bit more clarity on can be gained if we think we have a complete list of potential causes and normalize. "
+    "Now we show how our earlier analysis on the `stones_model` can be carried out through some analysis on the samples we get through this model where we have both `sally_throw` and `bill_throws` as candidate causes and both `bill_hits` and `sally_hits` as context nodes."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We first compute the probability of causation for `sally_throws`. We compute the probability that the set {sally_throws=1} is the cause of bottle shattering."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 298,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "text/plain": [
-       "tensor(0.8100)"
-      ]
-     },
-     "execution_count": 298,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "tensor(0.1956)\n"
+     ]
     }
    ],
    "source": [
-    "st_responsible2 = st_responsible.float()\n",
-    "st_responsible2[st_responsible2 == 0.0] = 9.2\n",
-    "st_responsible2[st_responsible2 == 1.0] = 1.0\n",
-    "# st_responsible2\n",
-    "logp = torch.logsumexp(st_responsible2.squeeze().float() * logw, dim=0) - torch.log(torch.tensor(1000))\n",
-    "torch.exp(logp)"
+    "mask_intervened = (trace.nodes[\"__cause____antecedent_sally_throws\"][\"value\"] == 0) & (trace.nodes[\"__cause____antecedent_bill_throws\"][\"value\"] == 1)\n",
+    "print(torch.sum(torch.exp(log_weights) * mask_intervened.float().squeeze())/mask_intervened.float().sum())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We similarly compute this probability for `bill_throws`."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 261,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [
     {
-     "data": {
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-       "        False,  True,  True,  True,  True,  True, False,  True,  True,  True,\n",
-       "         True,  True,  True,  True,  True,  True, False,  True,  True,  True,\n",
-       "        False, False,  True,  True,  True,  True,  True,  True,  True,  True,\n",
-       "        False,  True,  True,  True,  True, False,  True, False,  True, False,\n",
-       "         True,  True,  True, False,  True,  True,  True,  True,  True,  True,\n",
-       "         True,  True,  True,  True,  True,  True,  True,  True, False,  True,\n",
-       "        False,  True,  True, False,  True,  True, False, False, False,  True,\n",
-       "         True,  True,  True, False,  True,  True,  True,  True,  True,  True,\n",
-       "         True,  True, False, False,  True,  True,  True,  True,  True,  True,\n",
-       "         True,  True,  True,  True, False,  True,  True,  True,  True, False,\n",
-       "         True,  True,  True,  True,  True,  True,  True,  True,  True, False,\n",
-       "         True,  True,  True,  True, False, False,  True,  True,  True, False,\n",
-       "         True,  True,  True, False, False,  True, False,  True, False,  True,\n",
-       "         True,  True,  True,  True,  True,  True,  True, False,  True, False,\n",
-       "         True,  True,  True,  True,  True,  True,  True,  True,  True, False,\n",
-       "        False,  True,  True, False,  True,  True,  True,  True,  True,  True,\n",
-       "         True,  True,  True,  True,  True, False,  True,  True, False,  True,\n",
-       "        False, False,  True,  True,  True,  True, False,  True,  True, False,\n",
-       "        False,  True,  True,  True,  True, False,  True, False,  True, False])"
-      ]
-     },
-     "execution_count": 261,
-     "metadata": {},
-     "output_type": "execute_result"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "tensor(0.0567)\n"
+     ]
     }
    ],
    "source": [
-    "st_responsible.squeeze()"
+    "mask_intervened = (trace.nodes[\"__cause____antecedent_sally_throws\"][\"value\"] == 1) & (trace.nodes[\"__cause____antecedent_bill_throws\"][\"value\"] == 0)\n",
+    "print(torch.sum(torch.exp(log_weights) * mask_intervened.float().squeeze())/mask_intervened.float().sum())"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": 60,
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "query = SearchForExplanation(\n",
-    "    supports=stones_supports,\n",
-    "    antecedents={\"sally_throws\": torch.tensor(1.0), \"bill_throws\": torch.tensor(1.0)},\n",
-    "    consequents={\"bottle_shatters\": torch.tensor(1.0)},\n",
-    "    witnesses={\"sally_hits\": torch.tensor(0.0)},\n",
-    "    alternatives={\"sally_throws\": torch.tensor(0.0), \"bill_throws\": torch.tensor(0.0)},\n",
-    "    antecedent_bias=-0.5,\n",
-    "    witness_bias=0.5,\n",
-    "    consequent_scale=1e-5\n",
-    ")(condition(\n",
-    "    data={\n",
-    "        \"prob_sally_throws\": torch.tensor(1.0),\n",
-    "        \"prob_bill_throws\": torch.tensor(0.0),\n",
-    "        \"prob_sally_hits\": torch.tensor(1.0),\n",
-    "        \"prob_bill_hits\": torch.tensor(0.0),\n",
-    "        \"prob_bottle_shatters_if_sally\": torch.tensor(1.0),\n",
-    "        \"prob_bottle_shatters_if_bill\": torch.tensor(1.0),\n",
-    "        \"bottle_shatters\": torch.tensor(1.0),\n",
-    "    }\n",
-    ")(stones_model))"
+    "We can also use the same model as above to compute the degree of responsibility for bill and sally as follows. We interpret the degree of responsbility asisgned to sally for bottle shattering as the probability that `sally_throws=1` is part of the cause."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
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-      "\n",
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-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[False]]]]]]]]],\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "\n",
-      "        [[[[[[[[[ True]]]]]]]]]])\n",
-      "tensor([-2.3024e+01, -2.3024e+01, -2.0385e-05, -2.3024e+01, -2.3024e+01,\n",
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-      "        0.0000e+00, 1.0014e-10, 1.0014e-10, 1.0014e-10, 1.0014e-10, 1.0014e-10,\n",
-      "        1.0014e-10, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0014e-10, 9.9998e-01,\n",
-      "        1.0014e-10, 9.9998e-01, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0014e-10,\n",
-      "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0014e-10, 1.0014e-10,\n",
-      "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0014e-10, 0.0000e+00,\n",
-      "        0.0000e+00, 1.0014e-10, 1.0014e-10, 1.0014e-10, 0.0000e+00, 1.0014e-10,\n",
-      "        0.0000e+00, 1.0014e-10, 0.0000e+00, 0.0000e+00, 9.9998e-01, 1.0014e-10,\n",
-      "        1.0014e-10, 0.0000e+00, 1.0014e-10, 1.0014e-10, 9.9998e-01, 0.0000e+00,\n",
-      "        0.0000e+00, 1.0014e-10, 0.0000e+00, 0.0000e+00, 9.9998e-01, 0.0000e+00,\n",
-      "        0.0000e+00, 1.0014e-10, 0.0000e+00, 0.0000e+00, 9.9998e-01, 1.0014e-10,\n",
-      "        1.0014e-10, 1.0014e-10, 9.9998e-01, 1.0014e-10, 1.0014e-10, 0.0000e+00,\n",
-      "        1.0014e-10, 0.0000e+00, 1.0014e-10, 9.9998e-01, 1.0014e-10, 0.0000e+00,\n",
-      "        9.9998e-01, 1.0014e-10, 0.0000e+00, 1.0014e-10, 0.0000e+00, 1.0014e-10,\n",
-      "        9.9998e-01, 1.0014e-10, 0.0000e+00, 9.9998e-01, 9.9998e-01, 1.0014e-10,\n",
-      "        1.0014e-10, 0.0000e+00, 1.0014e-10, 9.9998e-01, 1.0014e-10, 0.0000e+00,\n",
-      "        0.0000e+00, 9.9998e-01, 0.0000e+00, 1.0014e-10, 9.9998e-01, 1.0014e-10,\n",
-      "        0.0000e+00, 0.0000e+00, 1.0014e-10, 0.0000e+00, 0.0000e+00, 1.0014e-10,\n",
-      "        1.0014e-10, 0.0000e+00, 9.9998e-01, 0.0000e+00, 0.0000e+00, 1.0014e-10,\n",
-      "        1.0014e-10, 1.0014e-10, 1.0014e-10, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
-      "        0.0000e+00, 0.0000e+00, 0.0000e+00, 9.9998e-01, 1.0014e-10, 0.0000e+00,\n",
-      "        1.0014e-10, 0.0000e+00, 0.0000e+00, 1.0014e-10, 0.0000e+00, 1.0014e-10,\n",
-      "        1.0014e-10, 0.0000e+00, 0.0000e+00, 1.0014e-10])\n",
-      "tensor(117.9976)\n"
+      "tensor(0.2683)\n"
      ]
     }
    ],
    "source": [
-    "mask_intervened = (trace.nodes[\"__cause____antecedent_bill_throws\"][\"value\"] == 0)\n",
-    "log_weight_vector=logw\n",
-    "a = mask_intervened.float().sum()\n",
-    "print(mask_intervened)\n",
-    "# mask_intervened = mask_intervened.float()\n",
-    "# mask_intervened[mask_intervened == 0.0] = 9.2\n",
-    "# mask_intervened[mask_intervened == 1.0] = 1.0\n",
-    "print(log_weight_vector)\n",
-    "print(mask_intervened.squeeze())\n",
-    "print(torch.exp(log_weight_vector) * mask_intervened.squeeze())\n",
-    "\n",
-    "print(torch.sum(torch.exp(log_weight_vector) * mask_intervened.squeeze()))"
+    "mask_intervened = (trace.nodes[\"__cause____antecedent_sally_throws\"][\"value\"] == 0)\n",
+    "print(torch.sum(torch.exp(log_weights) * mask_intervened.float().squeeze())/mask_intervened.float().sum())"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [
     {
-     "ename": "AttributeError",
-     "evalue": "'Trace' object has no attribute 'n'",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[62], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[43mtrace\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mn\u001b[49m)\n\u001b[1;32m      2\u001b[0m \u001b[38;5;28mprint\u001b[39m(trace\u001b[38;5;241m.\u001b[39mnodes[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124msally_throws\u001b[39m\u001b[38;5;124m\"\u001b[39m][\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvalue\u001b[39m\u001b[38;5;124m\"\u001b[39m][\u001b[38;5;241m2\u001b[39m]\u001b[38;5;241m.\u001b[39msqueeze())\n\u001b[1;32m      3\u001b[0m \u001b[38;5;28mprint\u001b[39m(trace\u001b[38;5;241m.\u001b[39mnodes[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mbottle_shatters\u001b[39m\u001b[38;5;124m\"\u001b[39m][\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mvalue\u001b[39m\u001b[38;5;124m\"\u001b[39m][\u001b[38;5;241m2\u001b[39m]\u001b[38;5;241m.\u001b[39msqueeze())\n",
-      "\u001b[0;31mAttributeError\u001b[0m: 'Trace' object has no attribute 'n'"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "tensor(0.2004)\n"
      ]
     }
    ],
    "source": [
-    "print(trace.n)\n",
-    "print(trace.nodes[\"sally_throws\"][\"value\"][2].squeeze())\n",
-    "print(trace.nodes[\"bottle_shatters\"][\"value\"][2].squeeze())\n",
-    "trace.nodes[\"__cause____consequent_bottle_shatters\"][\"log_prob\"][2]"
+    "mask_intervened = (trace.nodes[\"__cause____antecedent_bill_throws\"][\"value\"] == 0)\n",
+    "print(torch.sum(torch.exp(log_weights) * mask_intervened.float().squeeze())/mask_intervened.float().sum())"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# References\n",
-    "\n",
-    "1. "
+    "Note that we assumed Sally to be more likely to throw, more likely to hit, and more likely to shatter the bottle if she hits. For this reason, we expect her to be more likely to be causally responsible for the outcome and that is the result we got. Conceptually, these estimates are impacted by some hyperparameters, such as witness preemption probabilities, so perhaps a bit more clarity on can be gained if we think we have a complete list of potential causes and normalize. "
    ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": []
   }
  ],
  "metadata": {
diff --git a/docs/source/responsibility.ipynb b/docs/source/responsibility.ipynb
index a203dbc4..5607419f 100644
--- a/docs/source/responsibility.ipynb
+++ b/docs/source/responsibility.ipynb
@@ -88,14 +88,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.4971)\n"
+      "tensor(0.1057)\n"
      ]
     }
    ],
@@ -106,6 +106,7 @@
     "    consequents={\"C\": torch.tensor(1.0)},\n",
     "    witnesses={},\n",
     "    alternatives={\"A\": 0.0, \"B\": 0.0},\n",
+    "    antecedent_bias=0.4,\n",
     "    consequent_scale=1e-5,\n",
     ")(example)\n",
     "\n",
@@ -115,14 +116,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "tensor(0.5016)\n"
+      "tensor(0.1077)\n"
      ]
     }
    ],